Metrics for Disney BSSRDF, PDF of scattering profile

analyze106.0ms (0.7%)

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 50 to 36 computations (28% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 28.0ms (42.2% of total)

ival-div: 10.0ms (15.1% of total)

...c/correct-round.rkt:119:19: 7.0ms (10.5% of total)

ival-exp: 6.0ms (9% of total)

ival-<=: 4.0ms (6% of total)

ival-<: 3.0ms (4.5% of total)

ival-pi: 2.0ms (3% of total)

ival-add: 2.0ms (3% of total)

const: 2.0ms (3% of total)

ival-neg: 2.0ms (3% of total)

ival-and: 1.0ms (1.5% of total)

backward-pass: 0.0ms (0% of total)

sample2.6s (17.6%)

Results

2.2s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-mult: 794.0ms (44.7% of total)

ival-div: 301.0ms (17% of total)

ival-exp: 143.0ms (8.1% of total)

...c/correct-round.rkt:119:19: 140.0ms (7.9% of total)

ival-<: 87.0ms (4.9% of total)

ival-<=: 86.0ms (4.8% of total)

ival-neg: 55.0ms (3.1% of total)

ival-add: 53.0ms (3% of total)

ival-pi: 48.0ms (2.7% of total)

const: 36.0ms (2% of total)

ival-and: 29.0ms (1.6% of total)

backward-pass: 4.0ms (0.2% of total)

Bogosity

preprocess350.0ms (2.3%)

Algorithm

2×	egg-herbie

Rules

3646×	`-lowering-.f32`
3646×	`-lowering-.f64`
2560×	`fma-define`
2464×	`/-lowering-/.f32`
2464×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	208
1	224	164
2	1098	124
3	5260	124
0	25	33
1	65	27
2	239	22
3	898	20
4	2514	20
5	3344	20
6	4052	20
7	5402	20
8	5849	20
9	6026	20
10	6938	20
11	7175	20
12	7204	20
13	7415	20
14	7494	20
15	7654	20
16	7654	20
0	8094	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 (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))))) (PI.f32))

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)))

explain254.0ms (1.7%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
1	6	(0.00021273527818266302 0.07377657294273376)	1	(1.9668448658194393e-5 0.004042085725814104)	`(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))`
0	0	-	0	-	`(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`
0	0	-	0	-	`#s(literal 3 binary32)`
0	0	-	0	-	`r`
0	0	-	0	-	`#s(literal 6 binary32)`
0	0	-	0	-	`(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)`
0	0	-	0	-	`(*.f32 #s(literal 3 binary32) s)`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)`
0	0	-	0	-	`(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))`
0	0	-	0	-	`#s(literal 1/4 binary32)`
0	6	(0.19853010773658752 25.124216079711914)	0	-	`(exp.f32 (/.f32 (neg.f32 r) s))`
0	0	-	0	-	`(/.f32 (neg.f32 r) s)`
0	0	-	0	-	`#s(literal 3/4 binary32)`
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	-	`(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))`
0	0	-	0	-	`s`
0	0	-	0	-	`(neg.f32 r)`
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	-	`(*.f32 #s(literal 6 binary32) (PI.f32))`
0	0	-	0	-	`(.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s)`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s))))`
0	0	-	0	-	`(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)`

Results

155.0ms

512×

valid

Compiler

Compiled 333 to 77 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 29.0ms (41.8% of total)

ival-div: 23.0ms (33.2% of total)

ival-exp: 8.0ms (11.5% of total)

ival-add: 3.0ms (4.3% of total)

ival-neg: 3.0ms (4.3% of total)

ival-pi: 2.0ms (2.9% of total)

const: 2.0ms (2.9% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 23 to 16 computations (30.4% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.2%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))))) (PI.f32))
▶	99.7%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #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

▶

96.2%

(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))))) (PI.f32))

▶

99.7%

(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #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 58 to 41 computations (29.3% saved)

simplify244.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 r s)
✓	cost-diff	0	(/.f32 #s(literal 1/8 binary32) (*.f32 r s))
✓	cost-diff	0	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))))
✓	cost-diff	0	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))))) (PI.f32))
✓	cost-diff	32	(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
✓	cost-diff	96	(/.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	96	(/.f32 (.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	384	(+.f32 (/.f32 (.f32 #s(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

3510×	`/-lowering-/.f32`
3510×	`/-lowering-/.f64`
3374×	`-lowering-.f32`
3374×	`-lowering-.f64`
2444×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	248
1	103	225
2	344	213
3	1203	208
4	3692	208
5	4128	208
6	4813	208
7	5153	208
8	5466	208
9	5714	208
10	7847	208
0	8127	208

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
(/ (* (/ 1/8 (* r s)) (+ (exp (- 0 (/ r s))) (exp (/ (/ r s) -3)))) (PI))
(* (/ 1/8 (* r s)) (+ (exp (- 0 (/ r s))) (exp (/ (/ r s) -3))))
(/ 1/8 (* r s))
1/8
(* r s)
r
s
(+ (exp (- 0 (/ r s))) (exp (/ (/ r s) -3)))
(exp (- 0 (/ r s)))
(- 0 (/ r s))
0
(/ r s)
(exp (/ (/ r s) -3))
(/ (/ r s) -3)
-3
(PI)

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

localize197.0ms (1.3%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))
✓	accuracy	99.3%	(/.f32 #s(literal 1/8 binary32) (*.f32 r s))
✓	accuracy	98.9%	(/.f32 (/.f32 r s) #s(literal -3 binary32))
✓	accuracy	96.5%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))))
✓	accuracy	99.3%	(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
✓	accuracy	99.1%	(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
✓	accuracy	99.1%	(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)

Results

139.0ms

256×

valid

Compiler

Compiled 241 to 39 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 17.0ms (34.8% of total)

ival-div: 15.0ms (30.7% of total)

ival-exp: 8.0ms (16.4% of total)

ival-add: 3.0ms (6.1% of total)

ival-neg: 2.0ms (4.1% of total)

ival-pi: 1.0ms (2% of total)

ival-sub: 1.0ms (2% of total)

const: 1.0ms (2% of total)

backward-pass: 0.0ms (0% of total)

series48.0ms (0.3%)

Counts

14 → 324

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

Outputs
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)>
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#<alt 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

81 calls:

Time	Variable		Point	Expression
5.0ms	r	@	-inf	(/ (* (/ 1/8 (* r s)) (+ (exp (- 0 (/ r s))) (exp (/ (/ r s) -3)))) (PI))
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	r	@	inf	(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))
2.0ms	s	@	inf	(exp (/ (/ r s) -3))

rewrite386.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3902×	`/-lowering-/.f32`
3902×	`/-lowering-/.f64`
3506×	`-lowering-.f32`
3506×	`-lowering-.f64`
2124×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	155
1	216	141
2	2276	141
0	8442	141

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 617

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

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

simplify345.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

3682×	`-lowering-.f32`
3682×	`-lowering-.f64`
3234×	`+-lowering-+.f64`
3234×	`+-lowering-+.f32`
2018×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	450	3487
1	1492	3351
2	4262	3287
0	8168	3287

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/8 (* r (* s (PI))))
(/ (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 1/16 (/ r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -1/48 (/ r (* (pow s 4) (PI)))) (* 1/16 (/ 1 (* (pow s 3) (PI)))))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/ 1/8 (* r (* s (PI))))
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/8 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/8 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/8 (* s (PI)))) s)
(/ 1/8 (* r (* s (PI))))
(* -1 (/ (- (* 1/8 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* 1/48 (/ (pow r 2) (* s (PI))))) s)) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/ 1/8 (* r (* s (PI))))
(/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -1/1296 (/ r (* (pow s 4) (PI)))) (* 1/144 (/ 1 (* (pow s 3) (PI)))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/ 1/8 (* r (* s (PI))))
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)
(/ (- (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/24 (* s (PI)))) s)
(/ 1/8 (* r (* s (PI))))
(* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/144 (/ r (PI))) (* 1/1296 (/ (pow r 2) (* s (PI))))) s)) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
1/4
(+ 1/4 (* -1/4 (/ r s)))
(+ 1/4 (* r (- (* 1/8 (/ r (pow s 2))) (* 1/4 (/ 1 s)))))
(+ 1/4 (* r (- (* r (+ (* -1/24 (/ r (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
1/4
(+ 1/4 (* -1/4 (/ r s)))
(+ 1/4 (+ (* -1/4 (/ r s)) (* 1/8 (/ (pow r 2) (pow s 2)))))
(+ 1/4 (+ (* -1/4 (/ r s)) (+ (* -1/24 (/ (pow r 3) (pow s 3))) (* 1/8 (/ (pow r 2) (pow s 2))))))
1/4
(+ 1/4 (* -1/4 (/ r s)))
(+ 1/4 (* -1 (/ (+ (* -1/8 (/ (pow r 2) s)) (* 1/4 r)) s)))
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow r 3) s)) (* 1/8 (pow r 2))) s)) (* 1/4 r)) s)))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(* 1/8 (/ (+ (exp (neg (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (neg (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (neg (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (neg (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (neg (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (neg (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (neg (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (neg (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r s))
(/ (+ (* -1/6 (/ r (pow s 2))) (* 1/4 (/ 1 s))) r)
(/ (+ (* r (- (* 5/72 (/ r (pow s 3))) (* 1/6 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (pow s 4))) (* 5/72 (/ 1 (pow s 3))))) (* 1/6 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s))) r)
(* 1/8 (/ (+ (exp (neg (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(* 1/8 (/ (+ (exp (neg (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(* 1/8 (/ (+ (exp (neg (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(* 1/8 (/ (+ (exp (neg (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(* 1/8 (/ (+ (exp (neg (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(* 1/8 (/ (+ (exp (neg (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(* 1/8 (/ (+ (exp (neg (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(* 1/8 (/ (+ (exp (neg (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(/ 1/4 (* r s))
(/ (- (* 1/4 (/ 1 r)) (* 1/6 (/ 1 s))) s)
(/ (- (+ (* 1/8 (/ (+ (* 1/18 r) (* 1/2 r)) (pow s 2))) (* 1/4 (/ 1 r))) (* 1/6 (/ 1 s))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (pow r 2)) (* -1/162 (pow r 2))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 r) (* 1/2 r)) (pow s 2))) (* 1/4 (/ 1 r)))) (* 1/6 (/ 1 s))) s)
(/ 1/4 (* r s))
(* -1 (/ (- (* 1/6 (/ 1 s)) (* 1/4 (/ 1 r))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 r) (* 1/2 r)) s)) 1/6) s)) (* 1/4 (/ 1 r))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 r) (* 1/2 r))) (* 1/8 (/ (+ (* 1/162 (pow r 2)) (* 1/6 (pow r 2))) s))) s)) 1/6) s)) (* 1/4 (/ 1 r))) s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* 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)
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))

Outputs
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r)
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s s))) (PI.f32)) (/.f32 (/.f32 #s(literal 1/4 binary32) 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 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) (.f32 r (+.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 (.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (*.f32 s s)) 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 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) (.f32 r (+.f32 (.f32 r (+.f32 (/.f32 (.f32 #s(literal -7/324 binary32) (/.f32 r (pow.f32 s #s(literal 4 binary32)))) (PI.f32)) (/.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)))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) s) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) s))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) s) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) s))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) s) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) s))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) s) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) s))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) s) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) s))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) s) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) s))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) s) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) s))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) s) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) s))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) r) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) r))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) r) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) r))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) r) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) r))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) r) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) r))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r)
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (.f32 (/.f32 (/.f32 (/.f32 r s) (PI.f32)) s) #s(literal 5/72 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (.f32 (/.f32 (/.f32 (/.f32 r s) (PI.f32)) s) #s(literal 5/72 binary32))) (+.f32 (.f32 (/.f32 (.f32 r r) (.f32 s (.f32 (PI.f32) (.f32 s s)))) #s(literal -7/324 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r)
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (/.f32 (+.f32 (*.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (+.f32 (/.f32 (.f32 r #s(literal -5/72 binary32)) (PI.f32)) (.f32 #s(literal 7/324 binary32) (/.f32 (/.f32 (*.f32 r r) s) (PI.f32)))) s)) s) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32))) s)
(/ 1/8 (* r (* s (PI))))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r)
(/ (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (+.f32 (/.f32 (.f32 r #s(literal -1/8 binary32)) (.f32 (PI.f32) (.f32 s s))) (/.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 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 r (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 (.f32 r #s(literal 1/16 binary32)) (.f32 s (.f32 (PI.f32) (.f32 s s))))))) 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 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 r (+.f32 (.f32 r (+.f32 (/.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (pow.f32 s #s(literal 4 binary32)))) (PI.f32)) (/.f32 #s(literal 1/16 binary32) (.f32 s (.f32 (PI.f32) (.f32 s s)))))) (/.f32 #s(literal -1/8 binary32) (.f32 (PI.f32) (*.f32 s s)))))) r)
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 r (.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r)
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/8 (/ 1 (* s (PI))))) s)
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32)))) s)
(/ (- (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/8 (* s (PI)))) s)
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(/ (- (+ (* -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)
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(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)))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)) (/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (.f32 s s))))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
(+.f32 #s(literal 1 binary32) (+.f32 (+.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)) (/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (.f32 s s))) (/.f32 (.f32 (.f32 r (/.f32 (.f32 r r) s)) #s(literal -1/162 binary32)) (.f32 s s))))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (.f32 (.f32 r r) #s(literal -1/18 binary32)) s) (*.f32 r #s(literal 1/3 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 (-.f32 (.f32 r #s(literal 1/3 binary32)) (/.f32 (+.f32 (.f32 (.f32 r (/.f32 (.f32 r r) s)) #s(literal -1/162 binary32)) (.f32 r (.f32 r #s(literal 1/18 binary32)))) s)) s))

eval158.0ms (1.1%)

Compiler: Compiled 30706 to 2615 computations (91.5% saved)

prune159.0ms (1.1%)

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	908	33	941
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	910	33	943

Accuracy

99.9%

Counts

943 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))))) r) s) (PI.f32))
	8.4%	(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r)
▶	8.4%	(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32))
	8.9%	(/.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (.f32 #s(literal 1/8 binary32) (/.f32 (.f32 (.f32 r r) #s(literal 14/81 binary32)) s))) s)) s) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))
	7.0%	(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (+.f32 (.f32 r (+.f32 (.f32 #s(literal -7/324 binary32) (/.f32 r (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s s))))) (/.f32 #s(literal -1/6 binary32) (.f32 s s))))) r) (PI.f32))
▶	7.5%	(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (+.f32 (.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (.f32 s s)) s)) (/.f32 #s(literal -1/6 binary32) (.f32 s s))))) r) (PI.f32))
	8.1%	(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s s)))) r) (PI.f32))
	9.0%	(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 r #s(literal 5/9 binary32))) s)) s)) s) (PI.f32))
	8.2%	(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal -1/6 binary32) s)) s) (PI.f32))
▶	99.7%	(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (/.f32 (*.f32 r s) #s(literal 1/8 binary32))) (PI.f32))
	8.9%	(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (/.f32 (+.f32 (*.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s)
	8.1%	(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
	8.8%	(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (+.f32 (/.f32 (.f32 r #s(literal -5/72 binary32)) (PI.f32)) (.f32 #s(literal 7/324 binary32) (/.f32 (/.f32 (*.f32 r r) s) (PI.f32)))) s)) s) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32))) s)
	8.1%	(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s s))) (PI.f32)) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32))) r)
	7.4%	(/.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (.f32 (/.f32 (/.f32 (/.f32 r s) (PI.f32)) s) #s(literal 5/72 binary32))) (+.f32 (.f32 (/.f32 (.f32 r r) (.f32 s (.f32 (PI.f32) (.f32 s s)))) #s(literal -7/324 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
	98.5%	(/.f32 (+.f32 (.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r s))) r) (.f32 (.f32 s (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) r)) (.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (.f32 s (PI.f32)))))) (.f32 (.f32 s (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r)) r))
	94.7%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (pow.f32 (/.f32 #s(literal 1 binary32) (exp.f32 r)) (/.f32 #s(literal 1/3 binary32) s)))) (PI.f32))
	93.4%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (pow.f32 (exp.f32 (/.f32 #s(literal 1/3 binary32) s)) (neg.f32 r)))) (PI.f32))
	96.2%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))))) (PI.f32))
	96.1%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (pow.f32 (E.f32) (/.f32 (/.f32 r s) #s(literal -3 binary32))))) (PI.f32))
	9.5%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 r #s(literal 1/3 binary32)) (/.f32 (+.f32 (.f32 (.f32 r (/.f32 (.f32 r r) s)) #s(literal -1/162 binary32)) (.f32 r (.f32 r #s(literal 1/18 binary32)))) s)) s)))) (PI.f32))
	9.5%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (.f32 (.f32 r r) #s(literal -1/18 binary32)) s) (*.f32 r #s(literal 1/3 binary32))) s)))) (PI.f32))
▶	9.5%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)) (/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (.f32 s s)))))) (PI.f32))
	96.2%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (PI.f32))
	8.8%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal 1 binary32))) (PI.f32))
	99.6%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) s) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) s))) r)
	99.6%	(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (PI.f32))) s)
	99.7%	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))))) (.f32 (*.f32 r s) (PI.f32)))
	8.8%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r))
	9.5%	(+.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 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) (/.f32 (+.f32 (*.f32 #s(literal 1/144 binary32) (/.f32 (/.f32 r s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) s)) s))
	9.5%	(+.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 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (+.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32)) (.f32 (/.f32 (/.f32 (*.f32 r r) s) (PI.f32)) #s(literal 1/1296 binary32))) s)) s) (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r)) s))
	8.1%	(+.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 (.f32 (.f32 r r) #s(literal -1/1296 binary32)) (.f32 s (.f32 (PI.f32) (.f32 s s)))) (+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) (/.f32 (+.f32 (.f32 #s(literal 1/144 binary32) (/.f32 (/.f32 r s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) s))) s))
	8.5%	(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

Compiler

Compiled 1770 to 1236 computations (30.2% saved)

simplify211.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 r s)
✓	cost-diff	0	(/.f32 (/.f32 r s) #s(literal -3 binary32))
✓	cost-diff	0	(exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))
✓	cost-diff	0	(neg.f32 s)
✓	cost-diff	128	(+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)) (/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (.f32 s s))))
✓	cost-diff	128	(+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)) (/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (.f32 s s)))))
✓	cost-diff	192	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)) (/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (.f32 s s))))))
✓	cost-diff	192	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)) (/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (.f32 s s)))))) (PI.f32))
✓	cost-diff	128	(.f32 r (+.f32 (.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (.f32 s s)) s)) (/.f32 #s(literal -1/6 binary32) (.f32 s s))))
✓	cost-diff	128	(+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (+.f32 (.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (.f32 s s)) s)) (/.f32 #s(literal -1/6 binary32) (.f32 s s)))))
✓	cost-diff	128	(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (+.f32 (.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (.f32 s s)) s)) (/.f32 #s(literal -1/6 binary32) (.f32 s s))))) r)
✓	cost-diff	128	(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (+.f32 (.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (.f32 s s)) s)) (/.f32 #s(literal -1/6 binary32) (.f32 s s))))) r) (PI.f32))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(/.f32 #s(literal 1/4 binary32) s)
✓	cost-diff	0	(/.f32 (/.f32 #s(literal 1/4 binary32) s) r)
✓	cost-diff	0	(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32))
✓	cost-diff	0	(/.f32 r s)
✓	cost-diff	0	(/.f32 (/.f32 r s) #s(literal -3 binary32))
✓	cost-diff	0	(exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))
✓	cost-diff	0	(neg.f32 s)

Rules

3778×	`-lowering-.f32`
3778×	`-lowering-.f64`
2324×	`+-lowering-+.f64`
2324×	`+-lowering-+.f32`
1994×	`sum3-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	52	492
1	146	467
2	408	461
3	1162	458
4	3309	457
5	5143	457
0	8899	457

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (+ (exp (/ r (neg s))) (exp (/ (/ r s) -3))) (/ (* r s) 1/8)) (PI))
(/ (+ (exp (/ r (neg s))) (exp (/ (/ r s) -3))) (/ (* r s) 1/8))
(+ (exp (/ r (neg s))) (exp (/ (/ r s) -3)))
(exp (/ r (neg s)))
(/ r (neg s))
r
(neg s)
s
(exp (/ (/ r s) -3))
(/ (/ r s) -3)
(/ r s)
-3
(/ (* r s) 1/8)
(* r s)
1/8
(PI)
(/ (/ (/ 1/4 s) r) (PI))
(/ (/ 1/4 s) r)
(/ 1/4 s)
1/4
s
r
(PI)
(/ (/ (+ (/ 1/4 s) (* r (+ (* 5/72 (/ (/ r (* s s)) s)) (/ -1/6 (* s s))))) r) (PI))
(/ (+ (/ 1/4 s) (* r (+ (* 5/72 (/ (/ r (* s s)) s)) (/ -1/6 (* s s))))) r)
(+ (/ 1/4 s) (* r (+ (* 5/72 (/ (/ r (* s s)) s)) (/ -1/6 (* s s)))))
(/ 1/4 s)
1/4
s
(* r (+ (* 5/72 (/ (/ r (* s s)) s)) (/ -1/6 (* s s))))
r
(+ (* 5/72 (/ (/ r (* s s)) s)) (/ -1/6 (* s s)))
(* 5/72 (/ (/ r (* s s)) s))
5/72
(/ (/ r (* s s)) s)
(/ r (* s s))
(* s s)
(/ -1/6 (* s s))
-1/6
(PI)
(/ (* (/ 1/8 (* r s)) (+ (exp (- 0 (/ r s))) (+ 1 (+ (* (/ r s) -1/3) (/ (* r (* r 1/18)) (* s s)))))) (PI))
(* (/ 1/8 (* r s)) (+ (exp (- 0 (/ r s))) (+ 1 (+ (* (/ r s) -1/3) (/ (* r (* r 1/18)) (* s s))))))
(/ 1/8 (* r s))
1/8
(* r s)
r
s
(+ (exp (- 0 (/ r s))) (+ 1 (+ (* (/ r s) -1/3) (/ (* r (* r 1/18)) (* s s)))))
(exp (- 0 (/ r s)))
(- 0 (/ r s))
0
(/ r s)
(+ 1 (+ (* (/ r s) -1/3) (/ (* r (* r 1/18)) (* s s))))
1
(+ (* (/ r s) -1/3) (/ (* r (* r 1/18)) (* s s)))
(* (/ r s) -1/3)
-1/3
(/ (* r (* r 1/18)) (* s s))
(* r (* r 1/18))
(* r 1/18)
1/18
(* s s)
(PI)
(/ (/ (/ (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (/ r s) -3)))) r) s) (PI))
(/ (/ (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (/ r s) -3)))) r) s)
(/ (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (/ r s) -3)))) r)
(* 1/8 (+ (exp (/ r (neg s))) (exp (/ (/ r s) -3))))
1/8
(+ (exp (/ r (neg s))) (exp (/ (/ r s) -3)))
(exp (/ r (neg s)))
(/ r (neg s))
r
(neg s)
s
(exp (/ (/ r s) -3))
(/ (/ r s) -3)
(/ r s)
-3
(PI)

Outputs
(/ (/ (+ (exp (/ r (neg s))) (exp (/ (/ r s) -3))) (/ (* r s) 1/8)) (PI))
(/.f32 (+.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))) (/.f32 (.f32 s (.f32 r (PI.f32))) #s(literal 1/8 binary32)))
(/ (+ (exp (/ r (neg s))) (exp (/ (/ r s) -3))) (/ (* r s) 1/8))
(/.f32 (+.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))) (/.f32 (*.f32 r s) #s(literal 1/8 binary32)))
(+ (exp (/ r (neg s))) (exp (/ (/ r s) -3)))
(+.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))
(exp (/ r (neg s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(/ r (neg s))
(-.f32 #s(literal 0 binary32) (/.f32 r s))
r
(neg s)
(neg.f32 s)
s
(exp (/ (/ r s) -3))
(exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))
(/ (/ r s) -3)
(/.f32 (/.f32 r s) #s(literal -3 binary32))
(/ r s)
(/.f32 r s)
-3
#s(literal -3 binary32)
(/ (* r s) 1/8)
(/.f32 (*.f32 r s) #s(literal 1/8 binary32))
(* r s)
(*.f32 r s)
1/8
#s(literal 1/8 binary32)
(PI)
(PI.f32)
(/ (/ (/ 1/4 s) r) (PI))
(/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 r (PI.f32))))
(/ (/ 1/4 s) r)
(/.f32 #s(literal 1/4 binary32) (*.f32 r s))
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
1/4
#s(literal 1/4 binary32)
s
r
(PI)
(PI.f32)
(/ (/ (+ (/ 1/4 s) (* r (+ (* 5/72 (/ (/ r (* s s)) s)) (/ -1/6 (* s s))))) r) (PI))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 (/.f32 (/.f32 r s) s) (+.f32 (/.f32 (.f32 r #s(literal 5/72 binary32)) s) #s(literal -1/6 binary32)))) (*.f32 r (PI.f32)))
(/ (+ (/ 1/4 s) (* r (+ (* 5/72 (/ (/ r (* s s)) s)) (/ -1/6 (* s s))))) r)
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 (/.f32 (/.f32 r s) s) (+.f32 (/.f32 (.f32 r #s(literal 5/72 binary32)) s) #s(literal -1/6 binary32)))) r)
(+ (/ 1/4 s) (* r (+ (* 5/72 (/ (/ r (* s s)) s)) (/ -1/6 (* s s)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 (/.f32 (/.f32 r s) s) (+.f32 (/.f32 (.f32 r #s(literal 5/72 binary32)) s) #s(literal -1/6 binary32))))
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
1/4
#s(literal 1/4 binary32)
s
(* r (+ (* 5/72 (/ (/ r (* s s)) s)) (/ -1/6 (* s s))))
(.f32 (/.f32 (/.f32 r s) s) (+.f32 (/.f32 (.f32 r #s(literal 5/72 binary32)) s) #s(literal -1/6 binary32)))
r
(+ (* 5/72 (/ (/ r (* s s)) s)) (/ -1/6 (* s s)))
(+.f32 (/.f32 (.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) s)) s) (/.f32 #s(literal -1/6 binary32) (.f32 s s)))
(* 5/72 (/ (/ r (* s s)) s))
(/.f32 (*.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) s)) s)
5/72
#s(literal 5/72 binary32)
(/ (/ r (* s s)) s)
(/.f32 r (.f32 s (.f32 s s)))
(/ r (* s s))
(/.f32 (/.f32 r s) s)
(* s s)
(*.f32 s s)
(/ -1/6 (* s s))
(/.f32 #s(literal -1/6 binary32) (*.f32 s s))
-1/6
#s(literal -1/6 binary32)
(PI)
(PI.f32)
(/ (* (/ 1/8 (* r s)) (+ (exp (- 0 (/ r s))) (+ 1 (+ (* (/ r s) -1/3) (/ (* r (* r 1/18)) (* s s)))))) (PI))
(/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s)))) r) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(literal -1/3 binary32) (.f32 r (/.f32 #s(literal 1/18 binary32) s)))) s)) (*.f32 s (PI.f32)))
(* (/ 1/8 (* r s)) (+ (exp (- 0 (/ r s))) (+ 1 (+ (* (/ r s) -1/3) (/ (* r (* r 1/18)) (* s s))))))
(/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s)))) r) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(literal -1/3 binary32) (.f32 r (/.f32 #s(literal 1/18 binary32) s)))) s)) s)
(/ 1/8 (* r s))
(/.f32 (/.f32 #s(literal 1/8 binary32) s) r)
1/8
#s(literal 1/8 binary32)
(* r s)
(*.f32 r s)
r
s
(+ (exp (- 0 (/ r s))) (+ 1 (+ (* (/ r s) -1/3) (/ (* r (* r 1/18)) (* s s)))))
(+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 r s) (+.f32 #s(literal -1/3 binary32) (.f32 r (/.f32 #s(literal 1/18 binary32) 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)
(+ 1 (+ (* (/ r s) -1/3) (/ (* r (* r 1/18)) (* s s))))
(+.f32 #s(literal 1 binary32) (.f32 (/.f32 r s) (+.f32 #s(literal -1/3 binary32) (.f32 r (/.f32 #s(literal 1/18 binary32) s)))))
1
#s(literal 1 binary32)
(+ (* (/ r s) -1/3) (/ (* r (* r 1/18)) (* s s)))
(.f32 (/.f32 r s) (+.f32 #s(literal -1/3 binary32) (.f32 r (/.f32 #s(literal 1/18 binary32) s))))
(* (/ r s) -1/3)
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
-1/3
#s(literal -1/3 binary32)
(/ (* r (* r 1/18)) (* s s))
(.f32 r (/.f32 (.f32 r (/.f32 #s(literal 1/18 binary32) s)) s))
(* r (* r 1/18))
(.f32 r (.f32 r #s(literal 1/18 binary32)))
(* r 1/18)
(*.f32 r #s(literal 1/18 binary32))
1/18
#s(literal 1/18 binary32)
(* s s)
(*.f32 s s)
(PI)
(PI.f32)
(/ (/ (/ (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (/ r s) -3)))) r) s) (PI))
(/.f32 (+.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))) (/.f32 (.f32 s (.f32 r (PI.f32))) #s(literal 1/8 binary32)))
(/ (/ (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (/ r s) -3)))) r) s)
(/.f32 (+.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))) (/.f32 (*.f32 r s) #s(literal 1/8 binary32)))
(/ (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (/ r s) -3)))) r)
(/.f32 (+.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))) (/.f32 r #s(literal 1/8 binary32)))
(* 1/8 (+ (exp (/ r (neg s))) (exp (/ (/ r s) -3))))
(+.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) #s(literal 1/8 binary32)) (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))))
1/8
#s(literal 1/8 binary32)
(+ (exp (/ r (neg s))) (exp (/ (/ r s) -3)))
(+.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))
(exp (/ r (neg s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(/ r (neg s))
(-.f32 #s(literal 0 binary32) (/.f32 r s))
r
(neg s)
(neg.f32 s)
s
(exp (/ (/ r s) -3))
(exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))
(/ (/ r s) -3)
(/.f32 (/.f32 r s) #s(literal -3 binary32))
(/ r s)
(/.f32 r s)
-3
#s(literal -3 binary32)
(PI)
(PI.f32)

localize443.0ms (3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))))) r) s)
✓	accuracy	99.8%	(/.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))))) r) s) (PI.f32))
✓	accuracy	99.8%	(exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))
✓	accuracy	98.9%	(/.f32 (/.f32 r s) #s(literal -3 binary32))
✓	accuracy	99.3%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)) (/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (.f32 s s)))))) (PI.f32))
✓	accuracy	98.8%	(/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (*.f32 s s))
✓	accuracy	98.4%	(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
✓	accuracy	98.1%	(+.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)) (/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (.f32 s s)))
✓	accuracy	98.8%	(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (+.f32 (.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (.f32 s s)) s)) (/.f32 #s(literal -1/6 binary32) (.f32 s s))))) r)
✓	accuracy	98.8%	(.f32 r (+.f32 (.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (.f32 s s)) s)) (/.f32 #s(literal -1/6 binary32) (.f32 s s))))
✓	accuracy	98.5%	(.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (.f32 s s)) s))
✓	accuracy	69.2%	(+.f32 (.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (.f32 s s)) s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s)))
✓	accuracy	100.0%	(/.f32 #s(literal 1/4 binary32) s)
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	99.2%	(/.f32 (/.f32 #s(literal 1/4 binary32) s) r)
✓	accuracy	98.8%	(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32))
✓	accuracy	99.9%	(/.f32 (*.f32 r s) #s(literal 1/8 binary32))
✓	accuracy	99.8%	(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (/.f32 (*.f32 r s) #s(literal 1/8 binary32))) (PI.f32))
✓	accuracy	99.8%	(exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))
✓	accuracy	98.9%	(/.f32 (/.f32 r s) #s(literal -3 binary32))

Results

359.0ms

256×

valid

Compiler

Compiled 532 to 53 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-mult: 59.0ms (41.4% of total)

ival-div: 49.0ms (34.4% of total)

...c/correct-round.rkt:119:19: 14.0ms (9.8% of total)

ival-add: 7.0ms (4.9% of total)

ival-exp: 7.0ms (4.9% of total)

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

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

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

const: 1.0ms (0.7% of total)

backward-pass: 0.0ms (0% of total)

series54.0ms (0.4%)

Counts

25 → 552

Calls

Call 1

Inputs
#<alt (neg s)>
#<alt (exp (/ (/ r s) -3))>
#<alt (/ (/ r s) -3)>
#<alt (/ r s)>
#<alt (/ (/ (/ 1/4 s) r) (PI))>
#<alt (/ (/ 1/4 s) r)>
#<alt (/ 1/4 s)>
#<alt (PI)>
#<alt (/ (/ (+ (/ 1/4 s) (* r (+ (* 5/72 (/ (/ r (* s s)) s)) (/ -1/6 (* s s))))) r) (PI))>
#<alt (/ (+ (/ 1/4 s) (* r (+ (* 5/72 (/ (/ r (* s s)) s)) (/ -1/6 (* s s))))) r)>
#<alt (+ (/ 1/4 s) (* r (+ (* 5/72 (/ (/ r (* s s)) s)) (/ -1/6 (* s s)))))>
#<alt (* r (+ (* 5/72 (/ (/ r (* s s)) s)) (/ -1/6 (* s s))))>
#<alt (/ (* (/ 1/8 (* r s)) (+ (exp (- 0 (/ r s))) (+ 1 (+ (* (/ r s) -1/3) (/ (* r (* r 1/18)) (* s s)))))) (PI))>
#<alt (* (/ 1/8 (* r s)) (+ (exp (- 0 (/ r s))) (+ 1 (+ (* (/ r s) -1/3) (/ (* r (* r 1/18)) (* s s))))))>
#<alt (+ (exp (- 0 (/ r s))) (+ 1 (+ (* (/ r s) -1/3) (/ (* r (* r 1/18)) (* s s)))))>
#<alt (+ 1 (+ (* (/ r s) -1/3) (/ (* r (* r 1/18)) (* s s))))>
#<alt (/ (/ (+ (exp (/ r (neg s))) (exp (/ (/ r s) -3))) (/ (* r s) 1/8)) (PI))>
#<alt (/ (* r s) 1/8)>
#<alt (+ (* 5/72 (/ (/ r (* s s)) s)) (/ -1/6 (* s s)))>
#<alt (* 5/72 (/ (/ r (* s s)) s))>
#<alt (+ (* (/ r s) -1/3) (/ (* r (* r 1/18)) (* s s)))>
#<alt (* (/ r s) -1/3)>
#<alt (/ (* r (* r 1/18)) (* s s))>
#<alt (/ (/ (/ (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (/ r s) -3)))) r) s) (PI))>
#<alt (/ (/ (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (/ r s) -3)))) r) s)>

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

Calls

138 calls:

Time	Variable		Point	Expression
9.0ms	s	@	0	(/ (/ (/ 1/4 s) r) (PI))
3.0ms	r	@	inf	(/ (/ (+ (exp (/ r (neg s))) (exp (/ (/ r s) -3))) (/ (* r s) 1/8)) (PI))
2.0ms	r	@	inf	(/ (/ (+ (/ 1/4 s) (* r (+ (* 5/72 (/ (/ r (* s s)) s)) (/ -1/6 (* s s))))) r) (PI))
1.0ms	r	@	inf	(/ (* (/ 1/8 (* r s)) (+ (exp (- 0 (/ r s))) (+ 1 (+ (* (/ r s) -1/3) (/ (* r (* r 1/18)) (* s s)))))) (PI))
1.0ms	r	@	0	(/ (/ (+ (/ 1/4 s) (* r (+ (* 5/72 (/ (/ r (* s s)) s)) (/ -1/6 (* s s))))) r) (PI))

rewrite437.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3930×	`-lowering-.f32`
3930×	`-lowering-.f64`
2582×	`/-lowering-/.f32`
2582×	`/-lowering-/.f64`
1838×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	307
1	368	284
2	4192	278
0	8163	278

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 1014

Calls

Call 1

Inputs
(neg s)
(exp (/ (/ r s) -3))
(/ (/ r s) -3)
(/ r s)
(/ (/ (/ 1/4 s) r) (PI))
(/ (/ 1/4 s) r)
(/ 1/4 s)
(PI)
(/ (/ (+ (/ 1/4 s) (* r (+ (* 5/72 (/ (/ r (* s s)) s)) (/ -1/6 (* s s))))) r) (PI))
(/ (+ (/ 1/4 s) (* r (+ (* 5/72 (/ (/ r (* s s)) s)) (/ -1/6 (* s s))))) r)
(+ (/ 1/4 s) (* r (+ (* 5/72 (/ (/ r (* s s)) s)) (/ -1/6 (* s s)))))
(* r (+ (* 5/72 (/ (/ r (* s s)) s)) (/ -1/6 (* s s))))
(/ (* (/ 1/8 (* r s)) (+ (exp (- 0 (/ r s))) (+ 1 (+ (* (/ r s) -1/3) (/ (* r (* r 1/18)) (* s s)))))) (PI))
(* (/ 1/8 (* r s)) (+ (exp (- 0 (/ r s))) (+ 1 (+ (* (/ r s) -1/3) (/ (* r (* r 1/18)) (* s s))))))
(+ (exp (- 0 (/ r s))) (+ 1 (+ (* (/ r s) -1/3) (/ (* r (* r 1/18)) (* s s)))))
(+ 1 (+ (* (/ r s) -1/3) (/ (* r (* r 1/18)) (* s s))))
(/ (/ (+ (exp (/ r (neg s))) (exp (/ (/ r s) -3))) (/ (* r s) 1/8)) (PI))
(/ (* r s) 1/8)
(+ (* 5/72 (/ (/ r (* s s)) s)) (/ -1/6 (* s s)))
(* 5/72 (/ (/ r (* s s)) s))
(+ (* (/ r s) -1/3) (/ (* r (* r 1/18)) (* s s)))
(* (/ r s) -1/3)
(/ (* r (* r 1/18)) (* s s))
(/ (/ (/ (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (/ r s) -3)))) r) s) (PI))
(/ (/ (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (/ r s) -3)))) r) s)

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

simplify339.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

4448×	`-lowering-.f32`
4448×	`-lowering-.f64`
2118×	`+-lowering-+.f64`
2118×	`+-lowering-+.f32`
1976×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	588	6361
1	1903	5914
2	5484	5838
0	8062	5838

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

Inputs
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -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)
(/ r s)
(/ r s)
(/ r s)
(/ r s)
(/ r s)
(/ r s)
(/ r s)
(/ r s)
(/ r s)
(/ r s)
(/ r s)
(/ r s)
(/ r s)
(/ r s)
(/ r s)
(/ r s)
(/ r s)
(/ r s)
(/ r s)
(/ r s)
(/ r s)
(/ r s)
(/ r s)
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r s))
(/ 1/4 (* r s))
(/ 1/4 (* r s))
(/ 1/4 (* r s))
(/ 1/4 (* r s))
(/ 1/4 (* r s))
(/ 1/4 (* r s))
(/ 1/4 (* r s))
(/ 1/4 (* r s))
(/ 1/4 (* r s))
(/ 1/4 (* r s))
(/ 1/4 (* r s))
(/ 1/4 (* r s))
(/ 1/4 (* r s))
(/ 1/4 (* r s))
(/ 1/4 (* r s))
(/ 1/4 (* r s))
(/ 1/4 (* r s))
(/ 1/4 (* r s))
(/ 1/4 (* r s))
(/ 1/4 (* r s))
(/ 1/4 (* r s))
(/ 1/4 (* r s))
(/ 1/4 (* r s))
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(* 5/72 (/ r (* (pow s 3) (PI))))
(/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 3))
(/ (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))) (pow s 3))
(/ (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))) (pow s 3))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(* 5/72 (/ r (* (pow s 3) (PI))))
(* r (- (* 5/72 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* r (* (pow s 2) (PI)))))))
(* r (- (+ (/ 1/4 (* (pow r 2) (* s (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI))))) (/ 1/6 (* r (* (pow s 2) (PI))))))
(* r (- (+ (/ 1/4 (* (pow r 2) (* s (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI))))) (/ 1/6 (* r (* (pow s 2) (PI))))))
(* 5/72 (/ r (* (pow s 3) (PI))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (* (pow s 2) (PI))))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI))))) r)) (* 5/72 (/ 1 (* (pow s 3) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI))))) r)) (* 5/72 (/ 1 (* (pow s 3) (PI)))))))
(* 5/72 (/ r (pow s 3)))
(/ (+ (* -1/6 s) (* 5/72 r)) (pow s 3))
(/ (+ (* 5/72 r) (* s (- (* 1/4 (/ s r)) 1/6))) (pow s 3))
(/ (+ (* 5/72 r) (* s (- (* 1/4 (/ s r)) 1/6))) (pow s 3))
(/ 1/4 (* r s))
(/ (- (* 1/4 (/ 1 r)) (* 1/6 (/ 1 s))) s)
(/ (- (+ (* 5/72 (/ r (pow s 2))) (* 1/4 (/ 1 r))) (* 1/6 (/ 1 s))) s)
(/ (- (+ (* 5/72 (/ r (pow s 2))) (* 1/4 (/ 1 r))) (* 1/6 (/ 1 s))) s)
(/ 1/4 (* r s))
(* -1 (/ (- (* 1/6 (/ 1 s)) (* 1/4 (/ 1 r))) s))
(* -1 (/ (- (* -1 (/ (- (* 5/72 (/ r s)) 1/6) s)) (* 1/4 (/ 1 r))) s))
(* -1 (/ (- (* -1 (/ (- (* 5/72 (/ r s)) 1/6) s)) (* 1/4 (/ 1 r))) s))
(/ 1/4 (* r s))
(/ (+ (* -1/6 (/ r (pow s 2))) (* 1/4 (/ 1 s))) r)
(/ (+ (* r (- (* 5/72 (/ r (pow s 3))) (* 1/6 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s))) r)
(/ (+ (* r (- (* 5/72 (/ r (pow s 3))) (* 1/6 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s))) r)
(* 5/72 (/ r (pow s 3)))
(* r (- (* 5/72 (/ 1 (pow s 3))) (* 1/6 (/ 1 (* r (pow s 2))))))
(* r (- (+ (/ 1/4 (* (pow r 2) s)) (* 5/72 (/ 1 (pow s 3)))) (/ 1/6 (* r (pow s 2)))))
(* r (- (+ (/ 1/4 (* (pow r 2) s)) (* 5/72 (/ 1 (pow s 3)))) (/ 1/6 (* r (pow s 2)))))
(* 5/72 (/ r (pow s 3)))
(* -1 (* r (- (* 1/6 (/ 1 (* r (pow s 2)))) (* 5/72 (/ 1 (pow s 3))))))
(* -1 (* r (- (* -1 (/ (- (* 1/4 (/ 1 (* r s))) (* 1/6 (/ 1 (pow s 2)))) r)) (* 5/72 (/ 1 (pow s 3))))))
(* -1 (* r (- (* -1 (/ (- (* 1/4 (/ 1 (* r s))) (* 1/6 (/ 1 (pow s 2)))) r)) (* 5/72 (/ 1 (pow s 3))))))
(* 5/72 (/ (pow r 2) (pow s 3)))
(/ (+ (* -1/6 (* r s)) (* 5/72 (pow r 2))) (pow s 3))
(/ (+ (* 5/72 (pow r 2)) (* s (+ (* -1/6 r) (* 1/4 s)))) (pow s 3))
(/ (+ (* 5/72 (pow r 2)) (* s (+ (* -1/6 r) (* 1/4 s)))) (pow s 3))
(/ 1/4 s)
(/ (+ 1/4 (* -1/6 (/ r s))) s)
(/ (+ 1/4 (+ (* -1/6 (/ r s)) (* 5/72 (/ (pow r 2) (pow s 2))))) s)
(/ (+ 1/4 (+ (* -1/6 (/ r s)) (* 5/72 (/ (pow r 2) (pow s 2))))) s)
(/ 1/4 s)
(* -1 (/ (- (* 1/6 (/ r s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1/6 r) (* 5/72 (/ (pow r 2) s))) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1/6 r) (* 5/72 (/ (pow r 2) s))) s)) 1/4) s))
(/ 1/4 s)
(+ (* -1/6 (/ r (pow s 2))) (* 1/4 (/ 1 s)))
(+ (* r (- (* 5/72 (/ r (pow s 3))) (* 1/6 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))
(+ (* r (- (* 5/72 (/ r (pow s 3))) (* 1/6 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))
(* 5/72 (/ (pow r 2) (pow s 3)))
(* (pow r 2) (- (* 5/72 (/ 1 (pow s 3))) (* 1/6 (/ 1 (* r (pow s 2))))))
(* (pow r 2) (- (+ (/ 1/4 (* (pow r 2) s)) (* 5/72 (/ 1 (pow s 3)))) (/ 1/6 (* r (pow s 2)))))
(* (pow r 2) (- (+ (/ 1/4 (* (pow r 2) s)) (* 5/72 (/ 1 (pow s 3)))) (/ 1/6 (* r (pow s 2)))))
(* 5/72 (/ (pow r 2) (pow s 3)))
(* (pow r 2) (- (* 5/72 (/ 1 (pow s 3))) (* 1/6 (/ 1 (* r (pow s 2))))))
(* (pow r 2) (+ (* -1 (/ (- (* 1/6 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* r s)))) r)) (* 5/72 (/ 1 (pow s 3)))))
(* (pow r 2) (+ (* -1 (/ (- (* 1/6 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* r s)))) r)) (* 5/72 (/ 1 (pow s 3)))))
(* -1/6 (/ r (pow s 2)))
(* r (- (* 5/72 (/ r (pow s 3))) (* 1/6 (/ 1 (pow s 2)))))
(* r (- (* 5/72 (/ r (pow s 3))) (* 1/6 (/ 1 (pow s 2)))))
(* r (- (* 5/72 (/ r (pow s 3))) (* 1/6 (/ 1 (pow s 2)))))
(* 5/72 (/ (pow r 2) (pow s 3)))
(* (pow r 2) (- (* 5/72 (/ 1 (pow s 3))) (* 1/6 (/ 1 (* r (pow s 2))))))
(* (pow r 2) (- (* 5/72 (/ 1 (pow s 3))) (* 1/6 (/ 1 (* r (pow s 2))))))
(* (pow r 2) (- (* 5/72 (/ 1 (pow s 3))) (* 1/6 (/ 1 (* r (pow s 2))))))
(* 5/72 (/ (pow r 2) (pow s 3)))
(* (pow r 2) (- (* 5/72 (/ 1 (pow s 3))) (* 1/6 (/ 1 (* r (pow s 2))))))
(* (pow r 2) (- (* 5/72 (/ 1 (pow s 3))) (* 1/6 (/ 1 (* r (pow s 2))))))
(* (pow r 2) (- (* 5/72 (/ 1 (pow s 3))) (* 1/6 (/ 1 (* r (pow s 2))))))
(* 5/72 (/ (pow r 2) (pow s 3)))
(/ (+ (* -1/6 (* r s)) (* 5/72 (pow r 2))) (pow s 3))
(/ (+ (* -1/6 (* r s)) (* 5/72 (pow r 2))) (pow s 3))
(/ (+ (* -1/6 (* r s)) (* 5/72 (pow r 2))) (pow s 3))
(* -1/6 (/ r (pow s 2)))
(/ (+ (* -1/6 r) (* 5/72 (/ (pow r 2) s))) (pow s 2))
(/ (+ (* -1/6 r) (* 5/72 (/ (pow r 2) s))) (pow s 2))
(/ (+ (* -1/6 r) (* 5/72 (/ (pow r 2) s))) (pow s 2))
(* -1/6 (/ r (pow s 2)))
(/ (+ (* -1/6 r) (* 5/72 (/ (pow r 2) s))) (pow s 2))
(/ (+ (* -1/6 r) (* 5/72 (/ (pow r 2) s))) (pow s 2))
(/ (+ (* -1/6 r) (* 5/72 (/ (pow r 2) s))) (pow s 2))
(/ 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 (+ (* -1/48 (/ 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)
(* 1/144 (/ r (* (pow s 3) (PI))))
(* r (- (* 1/144 (/ 1 (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* r (* (pow s 2) (PI)))))))
(* r (- (+ (* 1/8 (/ (+ (/ 1 (* s (PI))) (/ (exp (neg (/ r s))) (* s (PI)))) (pow r 2))) (* 1/144 (/ 1 (* (pow s 3) (PI))))) (/ 1/24 (* r (* (pow s 2) (PI))))))
(* r (- (+ (* 1/8 (/ (+ (/ 1 (* s (PI))) (/ (exp (neg (/ r s))) (* s (PI)))) (pow r 2))) (* 1/144 (/ 1 (* (pow s 3) (PI))))) (/ 1/24 (* r (* (pow s 2) (PI))))))
(* 1/144 (/ r (* (pow s 3) (PI))))
(* -1 (* r (- (* 1/24 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/144 (/ 1 (* (pow s 3) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* 1/8 (/ (+ (/ 1 (* s (PI))) (/ (exp (* -1 (/ r s))) (* s (PI)))) r)) (* 1/24 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/144 (/ 1 (* (pow s 3) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* 1/8 (/ (+ (/ 1 (* s (PI))) (/ (exp (* -1 (/ r s))) (* s (PI)))) r)) (* 1/24 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/144 (/ 1 (* (pow s 3) (PI)))))))
(* 1/144 (/ r (* (pow s 3) (PI))))
(/ (+ (* -1/24 (/ s (PI))) (* 1/144 (/ r (PI)))) (pow s 3))
(/ (+ (* 1/144 (/ r (PI))) (* s (- (* 1/8 (* s (+ (/ 1 (* r (PI))) (/ (exp (neg (/ r s))) (* r (PI)))))) (* 1/24 (/ 1 (PI)))))) (pow s 3))
(/ (+ (* 1/144 (/ r (PI))) (* s (- (* 1/8 (* s (+ (/ 1 (* r (PI))) (/ (exp (neg (/ r s))) (* r (PI)))))) (* 1/24 (/ 1 (PI)))))) (pow s 3))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/48 (/ (pow r 2) (* s (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r s))
(/ (+ (* -1/6 (/ r (pow s 2))) (* 1/4 (/ 1 s))) r)
(/ (+ (* r (- (* 5/72 (/ r (pow s 3))) (* 1/6 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s))) r)
(/ (+ (* r (- (* r (+ (* -1/48 (/ r (pow s 4))) (* 5/72 (/ 1 (pow s 3))))) (* 1/6 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s))) r)
(* 1/144 (/ r (pow s 3)))
(* r (- (* 1/144 (/ 1 (pow s 3))) (* 1/24 (/ 1 (* r (pow s 2))))))
(* r (- (+ (* 1/8 (/ (+ (/ 1 s) (/ (exp (neg (/ r s))) s)) (pow r 2))) (* 1/144 (/ 1 (pow s 3)))) (/ 1/24 (* r (pow s 2)))))
(* r (- (+ (* 1/8 (/ (+ (/ 1 s) (/ (exp (neg (/ r s))) s)) (pow r 2))) (* 1/144 (/ 1 (pow s 3)))) (/ 1/24 (* r (pow s 2)))))
(* 1/144 (/ r (pow s 3)))
(* -1 (* r (- (* 1/24 (/ 1 (* r (pow s 2)))) (* 1/144 (/ 1 (pow s 3))))))
(* -1 (* r (- (* -1 (/ (- (* 1/8 (/ (+ (/ 1 s) (/ (exp (* -1 (/ r s))) s)) r)) (* 1/24 (/ 1 (pow s 2)))) r)) (* 1/144 (/ 1 (pow s 3))))))
(* -1 (* r (- (* -1 (/ (- (* 1/8 (/ (+ (/ 1 s) (/ (exp (* -1 (/ r s))) s)) r)) (* 1/24 (/ 1 (pow s 2)))) r)) (* 1/144 (/ 1 (pow s 3))))))
(* 1/144 (/ r (pow s 3)))
(/ (+ (* -1/24 s) (* 1/144 r)) (pow s 3))
(/ (+ (* 1/144 r) (* s (- (* 1/8 (* s (+ (/ 1 r) (/ (exp (neg (/ r s))) r)))) 1/24))) (pow s 3))
(/ (+ (* 1/144 r) (* s (- (* 1/8 (* s (+ (/ 1 r) (/ (exp (neg (/ r s))) r)))) 1/24))) (pow s 3))
(/ 1/4 (* r s))
(/ (- (* 1/4 (/ 1 r)) (* 1/6 (/ 1 s))) s)
(/ (- (+ (* 1/8 (/ (+ (* 1/18 r) (* 1/2 r)) (pow s 2))) (* 1/4 (/ 1 r))) (* 1/6 (/ 1 s))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 r) (* 1/2 r)) (pow s 2))) (* 1/4 (/ 1 r)))) (* 1/6 (/ 1 s))) s)
(/ 1/4 (* r s))
(* -1 (/ (- (* 1/6 (/ 1 s)) (* 1/4 (/ 1 r))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 r) (* 1/2 r)) s)) 1/6) s)) (* 1/4 (/ 1 r))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 r) (* 1/2 r))) (* 1/48 (/ (pow r 2) s))) s)) 1/6) s)) (* 1/4 (/ 1 r))) s))
2
(+ 2 (* -4/3 (/ r s)))
(+ 2 (* r (- (* 5/9 (/ r (pow s 2))) (* 4/3 (/ 1 s)))))
(+ 2 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 5/9 (/ 1 (pow s 2))))) (* 4/3 (/ 1 s)))))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* (pow r 2) (- (* 1/18 (/ 1 (pow s 2))) (* 1/3 (/ 1 (* r s)))))
(* (pow r 2) (- (+ (/ 1 (pow r 2)) (+ (* 1/18 (/ 1 (pow s 2))) (/ (exp (neg (/ r s))) (pow r 2)))) (/ 1/3 (* r s))))
(* (pow r 2) (- (+ (/ 1 (pow r 2)) (+ (* 1/18 (/ 1 (pow s 2))) (/ (exp (neg (/ r s))) (pow r 2)))) (/ 1/3 (* r s))))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* (pow r 2) (- (* 1/18 (/ 1 (pow s 2))) (* 1/3 (/ 1 (* r s)))))
(* (pow r 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (exp (* -1 (/ r s)))) r)) (* 1/3 (/ 1 s))) r)) (* 1/18 (/ 1 (pow s 2)))))
(* (pow r 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (exp (* -1 (/ r s)))) r)) (* 1/3 (/ 1 s))) r)) (* 1/18 (/ 1 (pow s 2)))))
(* 1/18 (/ (pow r 2) (pow s 2)))
(/ (+ (* -1/3 (* r s)) (* 1/18 (pow r 2))) (pow s 2))
(/ (+ (* 1/18 (pow r 2)) (* s (+ (* -1/3 r) (* s (+ 1 (exp (neg (/ r s)))))))) (pow s 2))
(/ (+ (* 1/18 (pow r 2)) (* s (+ (* -1/3 r) (* s (+ 1 (exp (neg (/ r s)))))))) (pow s 2))
2
(+ 2 (+ (* -1 (/ r s)) (* -1/3 (/ r s))))
(+ 2 (+ (* -1 (/ r s)) (+ (* -1/3 (/ r s)) (+ (* 1/18 (/ (pow r 2) (pow s 2))) (* 1/2 (/ (pow r 2) (pow s 2)))))))
(+ 2 (+ (* -1 (/ r s)) (+ (* -1/3 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (+ (* 1/18 (/ (pow r 2) (pow s 2))) (* 1/2 (/ (pow r 2) (pow s 2))))))))
2
(+ 2 (* -1 (/ (+ r (* 1/3 r)) s)))
(+ 2 (* -1 (/ (+ r (+ (* -1 (/ (+ (* 1/18 (pow r 2)) (* 1/2 (pow r 2))) s)) (* 1/3 r))) s)))
(+ 2 (* -1 (/ (+ r (+ (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (+ (* 1/18 (pow r 2)) (* 1/2 (pow r 2)))) s)) (* 1/3 r))) s)))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* (pow r 2) (- (* 1/18 (/ 1 (pow s 2))) (* 1/3 (/ 1 (* r s)))))
(* (pow r 2) (- (+ (/ 1 (pow r 2)) (* 1/18 (/ 1 (pow s 2)))) (/ 1/3 (* r s))))
(* (pow r 2) (- (+ (/ 1 (pow r 2)) (* 1/18 (/ 1 (pow s 2)))) (/ 1/3 (* r s))))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* (pow r 2) (- (* 1/18 (/ 1 (pow s 2))) (* 1/3 (/ 1 (* r s)))))
(* (pow r 2) (+ (* -1 (/ (- (* 1/3 (/ 1 s)) (/ 1 r)) r)) (* 1/18 (/ 1 (pow s 2)))))
(* (pow r 2) (+ (* -1 (/ (- (* 1/3 (/ 1 s)) (/ 1 r)) r)) (* 1/18 (/ 1 (pow s 2)))))
(* 1/18 (/ (pow r 2) (pow s 2)))
(/ (+ (* -1/3 (* r s)) (* 1/18 (pow r 2))) (pow s 2))
(/ (+ (* 1/18 (pow r 2)) (* s (+ s (* -1/3 r)))) (pow s 2))
(/ (+ (* 1/18 (pow r 2)) (* s (+ s (* -1/3 r)))) (pow s 2))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (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 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* 8 (* r s))
(* 8 (* r s))
(* 8 (* r s))
(* 8 (* r s))
(* 8 (* r s))
(* 8 (* r s))
(* 8 (* r s))
(* 8 (* r s))
(* 8 (* r s))
(* 8 (* r s))
(* 8 (* r s))
(* 8 (* r s))
(* 8 (* r s))
(* 8 (* r s))
(* 8 (* r s))
(* 8 (* r s))
(* 8 (* r s))
(* 8 (* r s))
(* 8 (* r s))
(* 8 (* r s))
(* 8 (* r s))
(* 8 (* r s))
(* 8 (* r s))
(* 8 (* r s))
(/ -1/6 (pow s 2))
(- (* 5/72 (/ r (pow s 3))) (* 1/6 (/ 1 (pow s 2))))
(- (* 5/72 (/ r (pow s 3))) (* 1/6 (/ 1 (pow s 2))))
(- (* 5/72 (/ r (pow s 3))) (* 1/6 (/ 1 (pow s 2))))
(* 5/72 (/ r (pow s 3)))
(* r (- (* 5/72 (/ 1 (pow s 3))) (* 1/6 (/ 1 (* r (pow s 2))))))
(* r (- (* 5/72 (/ 1 (pow s 3))) (* 1/6 (/ 1 (* r (pow s 2))))))
(* r (- (* 5/72 (/ 1 (pow s 3))) (* 1/6 (/ 1 (* r (pow s 2))))))
(* 5/72 (/ r (pow s 3)))
(* -1 (* r (- (* 1/6 (/ 1 (* r (pow s 2)))) (* 5/72 (/ 1 (pow s 3))))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (pow s 2)))) (* 5/72 (/ 1 (pow s 3))))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (pow s 2)))) (* 5/72 (/ 1 (pow s 3))))))
(* 5/72 (/ r (pow s 3)))
(/ (+ (* -1/6 s) (* 5/72 r)) (pow s 3))
(/ (+ (* -1/6 s) (* 5/72 r)) (pow s 3))
(/ (+ (* -1/6 s) (* 5/72 r)) (pow s 3))
(/ -1/6 (pow s 2))
(/ (- (* 5/72 (/ r s)) 1/6) (pow s 2))
(/ (- (* 5/72 (/ r s)) 1/6) (pow s 2))
(/ (- (* 5/72 (/ r s)) 1/6) (pow s 2))
(/ -1/6 (pow s 2))
(/ (- (* 5/72 (/ r s)) 1/6) (pow s 2))
(/ (- (* 5/72 (/ r s)) 1/6) (pow s 2))
(/ (- (* 5/72 (/ r s)) 1/6) (pow s 2))
(* 5/72 (/ r (pow s 3)))
(* 5/72 (/ r (pow s 3)))
(* 5/72 (/ r (pow s 3)))
(* 5/72 (/ r (pow s 3)))
(* 5/72 (/ r (pow s 3)))
(* 5/72 (/ r (pow s 3)))
(* 5/72 (/ r (pow s 3)))
(* 5/72 (/ r (pow s 3)))
(* 5/72 (/ r (pow s 3)))
(* 5/72 (/ r (pow s 3)))
(* 5/72 (/ r (pow s 3)))
(* 5/72 (/ r (pow s 3)))
(* 5/72 (/ r (pow s 3)))
(* 5/72 (/ r (pow s 3)))
(* 5/72 (/ r (pow s 3)))
(* 5/72 (/ r (pow s 3)))
(* 5/72 (/ r (pow s 3)))
(* 5/72 (/ r (pow s 3)))
(* 5/72 (/ r (pow s 3)))
(* 5/72 (/ r (pow s 3)))
(* 5/72 (/ r (pow s 3)))
(* 5/72 (/ r (pow s 3)))
(* 5/72 (/ r (pow s 3)))
(* 5/72 (/ r (pow s 3)))
(* -1/3 (/ r s))
(* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s))))
(* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s))))
(* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s))))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* (pow r 2) (- (* 1/18 (/ 1 (pow s 2))) (* 1/3 (/ 1 (* r s)))))
(* (pow r 2) (- (* 1/18 (/ 1 (pow s 2))) (* 1/3 (/ 1 (* r s)))))
(* (pow r 2) (- (* 1/18 (/ 1 (pow s 2))) (* 1/3 (/ 1 (* r s)))))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* (pow r 2) (- (* 1/18 (/ 1 (pow s 2))) (* 1/3 (/ 1 (* r s)))))
(* (pow r 2) (- (* 1/18 (/ 1 (pow s 2))) (* 1/3 (/ 1 (* r s)))))
(* (pow r 2) (- (* 1/18 (/ 1 (pow s 2))) (* 1/3 (/ 1 (* r s)))))
(* 1/18 (/ (pow r 2) (pow s 2)))
(/ (+ (* -1/3 (* r s)) (* 1/18 (pow r 2))) (pow s 2))
(/ (+ (* -1/3 (* r s)) (* 1/18 (pow r 2))) (pow s 2))
(/ (+ (* -1/3 (* r s)) (* 1/18 (pow r 2))) (pow s 2))
(* -1/3 (/ r s))
(/ (+ (* -1/3 r) (* 1/18 (/ (pow r 2) s))) s)
(/ (+ (* -1/3 r) (* 1/18 (/ (pow r 2) s))) s)
(/ (+ (* -1/3 r) (* 1/18 (/ (pow r 2) s))) s)
(* -1/3 (/ r s))
(* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s))
(* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s))
(* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* 1/18 (/ (pow r 2) (pow s 2)))
(* 1/18 (/ (pow r 2) (pow s 2)))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r s))
(/ (+ (* -1/6 (/ r (pow s 2))) (* 1/4 (/ 1 s))) r)
(/ (+ (* r (- (* 5/72 (/ r (pow s 3))) (* 1/6 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (pow s 4))) (* 5/72 (/ 1 (pow s 3))))) (* 1/6 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s))) r)
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(/ 1/4 (* r s))
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(/ (- (+ (* 1/8 (/ (+ (* 1/18 r) (* 1/2 r)) (pow s 2))) (* 1/4 (/ 1 r))) (* 1/6 (/ 1 s))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (pow r 2)) (* -1/162 (pow r 2))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 r) (* 1/2 r)) (pow s 2))) (* 1/4 (/ 1 r)))) (* 1/6 (/ 1 s))) s)
(/ 1/4 (* r s))
(* -1 (/ (- (* 1/6 (/ 1 s)) (* 1/4 (/ 1 r))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 r) (* 1/2 r)) s)) 1/6) s)) (* 1/4 (/ 1 r))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 r) (* 1/2 r))) (* 1/8 (/ (+ (* 1/162 (pow r 2)) (* 1/6 (pow r 2))) s))) s)) 1/6) s)) (* 1/4 (/ 1 r))) s))

Outputs
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(+.f32 #s(literal 1 binary32) (.f32 r (+.f32 (/.f32 #s(literal -1/3 binary32) s) (.f32 #s(literal 1/18 binary32) (/.f32 r (*.f32 s s))))))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(+.f32 #s(literal 1 binary32) (.f32 r (+.f32 (.f32 r (+.f32 (.f32 #s(literal -1/162 binary32) (/.f32 (/.f32 r (.f32 s s)) s)) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s))))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(+.f32 #s(literal 1 binary32) (.f32 r (+.f32 (/.f32 #s(literal -1/3 binary32) s) (.f32 #s(literal 1/18 binary32) (/.f32 r (*.f32 s s))))))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
(+.f32 #s(literal 1 binary32) (+.f32 (.f32 r (+.f32 (/.f32 #s(literal -1/3 binary32) s) (.f32 #s(literal 1/18 binary32) (/.f32 r (.f32 s s))))) (/.f32 (.f32 #s(literal -1/162 binary32) (.f32 r (.f32 r r))) (.f32 s (.f32 s s)))))
1
#s(literal 1 binary32)
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(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (.f32 (.f32 r r) #s(literal -1/18 binary32)) s) (*.f32 r #s(literal 1/3 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 (-.f32 (.f32 r #s(literal 1/3 binary32)) (/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/162 binary32) (.f32 r (.f32 r r))) s) (.f32 r (.f32 r #s(literal 1/18 binary32)))) s)) s))
(* -1/3 (/ r s))
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(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
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(* -1/3 (/ r s))
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(* -1/3 (/ r s))
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(* -1/3 (/ r s))
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(* -1/3 (/ r s))
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(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
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(/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (*.f32 s s))
(* 1/18 (/ (pow r 2) (pow s 2)))
(/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (*.f32 s s))
(* 1/18 (/ (pow r 2) (pow s 2)))
(/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (*.f32 s s))
(* 1/18 (/ (pow r 2) (pow s 2)))
(/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (*.f32 s s))
(* 1/18 (/ (pow r 2) (pow s 2)))
(/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (*.f32 s s))
(* 1/18 (/ (pow r 2) (pow s 2)))
(/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (*.f32 s s))
(* 1/18 (/ (pow r 2) (pow s 2)))
(/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (*.f32 s s))
(* 1/18 (/ (pow r 2) (pow s 2)))
(/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (*.f32 s s))
(* 1/18 (/ (pow r 2) (pow s 2)))
(/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (*.f32 s s))
(* 1/18 (/ (pow r 2) (pow s 2)))
(/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (*.f32 s s))
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s)
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (+.f32 (/.f32 (.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s 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 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32))) (.f32 r (+.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (.f32 s s) (PI.f32))) (.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 (/.f32 r (.f32 s s)) 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 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32))) (.f32 r (+.f32 (.f32 r (+.f32 (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 (.f32 s s) (PI.f32)))) (/.f32 (.f32 r #s(literal -7/324 binary32)) (.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))))) (/.f32 #s(literal -1/6 binary32) (.f32 (.f32 s s) (PI.f32)))))) r)
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (.f32 s (.f32 r (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (.f32 s (.f32 r (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (.f32 s (.f32 r (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (.f32 s (.f32 r (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (.f32 s (.f32 r (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (.f32 s (.f32 r (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (.f32 s (.f32 r (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (.f32 s (.f32 r (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (.f32 s (.f32 r (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (.f32 s (.f32 r (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (.f32 s (.f32 r (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (.f32 s (.f32 r (PI.f32))))
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s)
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 r (PI.f32)) #s(literal 5/9 binary32))) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 r (PI.f32)) #s(literal 5/9 binary32))) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (/.f32 (/.f32 r s) (PI.f32))) #s(literal -14/81 binary32))) (.f32 s s))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s)
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/4 binary32) (.f32 r (PI.f32)))) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (.f32 r (PI.f32))) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/9 binary32))) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (+.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32)) (.f32 #s(literal 1/8 binary32) (.f32 (*.f32 r (/.f32 (/.f32 r s) (PI.f32))) #s(literal 14/81 binary32)))) s)) s)) (neg.f32 s))
(/ 1/4 (* r s))
(/.f32 #s(literal 1/4 binary32) (*.f32 s r))
(/ (+ (* -1/6 (/ r (pow s 2))) (* 1/4 (/ 1 s))) r)
(/.f32 (+.f32 (.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) r)
(/ (+ (* r (- (* 5/72 (/ r (pow s 3))) (* 1/6 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s))) r)
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 r #s(literal 5/72 binary32)) s)) (*.f32 s s)))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (pow s 4))) (* 5/72 (/ 1 (pow s 3))))) (* 1/6 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s))) r)
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (+.f32 (/.f32 (.f32 r (.f32 r #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32))) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 r #s(literal 5/72 binary32)) s)) (*.f32 s s))))) r)
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 s r))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 s r))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 s r))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 s r))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 s r))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 s r))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 s r))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 s r))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 s r))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 s r))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 s r))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r s)))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 s r))
(/ 1/4 (* r s))
(/.f32 #s(literal 1/4 binary32) (*.f32 s r))
(/ (- (* 1/4 (/ 1 r)) (* 1/6 (/ 1 s))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal -1/6 binary32) s)) s)
(/ (- (+ (* 1/8 (/ (+ (* 1/18 r) (* 1/2 r)) (pow s 2))) (* 1/4 (/ 1 r))) (* 1/6 (/ 1 s))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/8 binary32) (/.f32 (.f32 r #s(literal 5/9 binary32)) s))) s)) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (pow r 2)) (* -1/162 (pow r 2))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 r) (* 1/2 r)) (pow s 2))) (* 1/4 (/ 1 r)))) (* 1/6 (/ 1 s))) s)
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/8 binary32) (/.f32 (.f32 r #s(literal 5/9 binary32)) s))) s)) (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) (.f32 r r)) #s(literal -14/81 binary32)) (.f32 s (*.f32 s s)))) s)
(/ 1/4 (* r s))
(/.f32 #s(literal 1/4 binary32) (*.f32 s r))
(* -1 (/ (- (* 1/6 (/ 1 s)) (* 1/4 (/ 1 r))) s))
(neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/4 binary32) r)) s))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 r) (* 1/2 r)) s)) 1/6) s)) (* 1/4 (/ 1 r))) s))
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/8 binary32) (/.f32 (.f32 r #s(literal 5/9 binary32)) s))) s)) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 r) (* 1/2 r))) (* 1/8 (/ (+ (* 1/162 (pow r 2)) (* 1/6 (pow r 2))) s))) s)) 1/6) s)) (* 1/4 (/ 1 r))) s))
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) (.f32 r r)) #s(literal 14/81 binary32)) s)) s)) s)) (neg.f32 s))

eval218.0ms (1.5%)

Compiler: Compiled 56599 to 5218 computations (90.8% saved)

prune337.0ms (2.3%)

Pruning

62 alts after pruning (60 fresh and 2 done)

	Pruned	Kept	Total
New	1950	45	1995
Fresh	13	15	28
Picked	3	2	5
Done	0	0	0
Total	1966	62	2028

Accuracy

99.9%

Counts

2028 → 62

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f32 (/.f32 (/.f32 (+.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 1/8 binary32)) (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s)))) r) (PI.f32)) s)
	8.1%	(/.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 r #s(literal -1/6 binary32)) s)) s) r) (PI.f32))
	98.3%	(/.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (pow.f32 (exp.f32 r) (.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/3 binary32))))) r) s) (PI.f32))
	99.4%	(/.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))))) r) s) (.f32 (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 3 binary32))))
▶	99.7%	(/.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) r) s) (PI.f32))
	8.8%	(/.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) r) s) (PI.f32))
	9.6%	(/.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 r s) (+.f32 #s(literal -1/3 binary32) (/.f32 (*.f32 r #s(literal 1/18 binary32)) s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) s) r) (PI.f32))
	8.4%	(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r)
✓	8.4%	(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32))
	8.4%	(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s)
	8.4%	(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
	8.9%	(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 r #s(literal 5/72 binary32)) s)) (*.f32 s s)))) r) (PI.f32))
	8.1%	(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s s)))) r) (PI.f32))
	7.0%	(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (+.f32 (/.f32 (.f32 r (.f32 r #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32))) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 r #s(literal 5/72 binary32)) s)) (*.f32 s s))))) r) (PI.f32))
	9.0%	(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 r #s(literal 5/72 binary32)) s)) s)) s) (PI.f32))
	8.2%	(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal -1/6 binary32) s)) s) (PI.f32))
	7.5%	(/.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/8 binary32) (/.f32 (.f32 r #s(literal 5/9 binary32)) s))) s)) (.f32 (/.f32 (.f32 r (/.f32 r (*.f32 s s))) s) #s(literal -1/48 binary32))) s) (PI.f32))
	3.9%	(/.f32 (/.f32 (+.f32 (.f32 s #s(literal -1/24 binary32)) (.f32 r #s(literal 1/144 binary32))) (.f32 s (.f32 s s))) (PI.f32))
▶	8.9%	(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (.f32 s (/.f32 #s(literal 1/4 binary32) r))))) (.f32 s (*.f32 s s))) (PI.f32))
	9.5%	(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) r)) (.f32 s #s(literal 1/8 binary32)))))) (.f32 s (.f32 s s))) (PI.f32))
	9.5%	(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 r #s(literal 1/3 binary32)) (/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/162 binary32) (.f32 r (.f32 r r))) s) (.f32 r (.f32 r #s(literal 1/18 binary32)))) s)) s))) (/.f32 (*.f32 r s) #s(literal 1/8 binary32))) (PI.f32))
✓	99.7%	(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (/.f32 (*.f32 r s) #s(literal 1/8 binary32))) (PI.f32))
	8.8%	(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32)) (/.f32 (*.f32 r s) #s(literal 1/8 binary32))) (PI.f32))
	8.4%	(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 r (/.f32 #s(literal 1/4 binary32) s)))
	8.4%	(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32))
	8.4%	(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
	8.9%	(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (+.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32)) (.f32 #s(literal 1/48 binary32) (.f32 r (/.f32 (/.f32 r s) (PI.f32))))) s)) s)) (neg.f32 s))
	8.9%	(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (/.f32 (+.f32 (*.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s)
	8.1%	(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
	8.8%	(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (+.f32 (/.f32 (.f32 r #s(literal -5/72 binary32)) (PI.f32)) (.f32 #s(literal 7/324 binary32) (/.f32 (/.f32 (*.f32 r r) s) (PI.f32)))) s)) s) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32))) s)
	3.9%	(/.f32 (+.f32 (/.f32 (.f32 s #s(literal -1/24 binary32)) (PI.f32)) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s (.f32 s s)))
	8.9%	(/.f32 (+.f32 (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32)) (.f32 s (+.f32 (/.f32 (.f32 s (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))))) (.f32 s (*.f32 s s)))
	8.1%	(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/4 binary32) (.f32 r (PI.f32)))) (neg.f32 s))
	98.5%	(/.f32 (+.f32 (.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r s))) r) (.f32 (.f32 s (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) r)) (.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (.f32 s (PI.f32)))))) (.f32 (.f32 s (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r)) r))
	4.8%	(/.f32 (.f32 (/.f32 (/.f32 r (.f32 s s)) s) #s(literal 1/144 binary32)) (PI.f32))
	8.4%	(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32))
	8.4%	(/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32))) r)
	8.9%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 r #s(literal 4/3 binary32)) (/.f32 (+.f32 (.f32 r (.f32 r #s(literal 5/9 binary32))) (/.f32 (.f32 (.f32 r (.f32 r r)) #s(literal -1/6 binary32)) s)) s)) s))) (PI.f32))
	9.0%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (.f32 r #s(literal 4/3 binary32)) (.f32 (/.f32 (*.f32 r r) s) #s(literal -5/9 binary32))) s))) (PI.f32))
	96.2%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))))) (PI.f32))
	96.1%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (pow.f32 (E.f32) (/.f32 (/.f32 r s) #s(literal -3 binary32))))) (PI.f32))
▶	5.6%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (*.f32 s s)))) (PI.f32))
	8.1%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 r s) #s(literal -4/3 binary32)))) (PI.f32))
	99.6%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) s) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) s))) r)
	99.6%	(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (PI.f32))) s)
	2.5%	(/.f32 (.f32 r (-.f32 (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s s))) (/.f32 (/.f32 #s(literal 1/24 binary32) (.f32 s s)) r))) (PI.f32))
	7.5%	(/.f32 (.f32 r (+.f32 (/.f32 (/.f32 #s(literal 5/72 binary32) s) (.f32 s s)) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal -1/6 binary32) s)) s) r))) (PI.f32))
	99.7%	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))))) (.f32 (*.f32 r s) (PI.f32)))
	8.9%	(/.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (.f32 (/.f32 (*.f32 r r) s) #s(literal 1/48 binary32))) s)) s)) s)) (PI.f32))
	8.4%	(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 r (PI.f32)) (/.f32 #s(literal 1/4 binary32) s)))
	8.4%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r))))
	8.4%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))
▶	8.4%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
	8.8%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r))
	9.5%	(+.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 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (+.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32)) (.f32 (/.f32 (/.f32 (*.f32 r r) s) (PI.f32)) #s(literal 1/1296 binary32))) s)) s) (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r)) s))
	8.1%	(+.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 (.f32 (.f32 r r) #s(literal -1/1296 binary32)) (.f32 s (.f32 (PI.f32) (.f32 s s)))) (+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) (/.f32 (+.f32 (.f32 #s(literal 1/144 binary32) (/.f32 (/.f32 r s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) s))) s))
	8.5%	(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.4%	(*.f32 (pow.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) s)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) r))
	8.4%	(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (.f32 s r)))
	8.4%	(*.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 #s(literal 1 binary32) r) (PI.f32)))
▶	8.4%	(.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1 binary32) (PI.f32))))
	2.5%	(.f32 r (+.f32 (/.f32 (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s s))) (PI.f32)) (/.f32 #s(literal -1/24 binary32) (.f32 r (.f32 (.f32 s s) (PI.f32))))))

Compiler

Compiled 2623 to 1859 computations (29.1% saved)

simplify169.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 r s)
✓	cost-diff	0	(/.f32 #s(literal 1/8 binary32) (*.f32 r s))
✓	cost-diff	128	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (*.f32 s s))))
✓	cost-diff	128	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (*.f32 s s)))) (PI.f32))
✓	cost-diff	0	(*.f32 r #s(literal 5/72 binary32))
✓	cost-diff	0	(+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (*.f32 s (/.f32 #s(literal 1/4 binary32) r)))))
✓	cost-diff	0	(/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (.f32 s (/.f32 #s(literal 1/4 binary32) r))))) (.f32 s (*.f32 s s)))
✓	cost-diff	0	(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (.f32 s (/.f32 #s(literal 1/4 binary32) r))))) (.f32 s (*.f32 s s))) (PI.f32))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) r)
✓	cost-diff	0	(/.f32 #s(literal 1/4 binary32) s)
✓	cost-diff	64	(*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1 binary32) (PI.f32)))
✓	cost-diff	128	(.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1 binary32) (PI.f32))))
✓	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	0	(/.f32 r #s(literal -3 binary32))
✓	cost-diff	0	(/.f32 (/.f32 r #s(literal -3 binary32)) s)
✓	cost-diff	0	(exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))
✓	cost-diff	0	(neg.f32 s)

Rules

2448×	`-lowering-.f32`
2448×	`-lowering-.f64`
2030×	`/-lowering-/.f32`
2030×	`/-lowering-/.f64`
1952×	`sum5-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	337
1	145	326
2	383	323
3	925	319
4	2373	317
5	3732	317
6	5687	317
7	7544	317
0	8034	317

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (/ (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (/ r -3) s)))) r) s) (PI))
(/ (/ (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (/ r -3) s)))) r) s)
(/ (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (/ r -3) s)))) r)
(* 1/8 (+ (exp (/ r (neg s))) (exp (/ (/ r -3) s))))
1/8
(+ (exp (/ r (neg s))) (exp (/ (/ r -3) s)))
(exp (/ r (neg s)))
(/ r (neg s))
r
(neg s)
s
(exp (/ (/ r -3) s))
(/ (/ r -3) s)
(/ r -3)
-3
(PI)
(/ 1/4 (* (* r (PI)) s))
1/4
(* (* r (PI)) s)
(* r (PI))
r
(PI)
s
(* (/ 1/4 s) (* (/ 1 r) (/ 1 (PI))))
(/ 1/4 s)
1/4
s
(* (/ 1 r) (/ 1 (PI)))
(/ 1 r)
1
r
(/ 1 (PI))
(PI)
(/ (/ (+ (* r 5/72) (* s (+ -1/6 (* s (/ 1/4 r))))) (* s (* s s))) (PI))
(/ (+ (* r 5/72) (* s (+ -1/6 (* s (/ 1/4 r))))) (* s (* s s)))
(+ (* r 5/72) (* s (+ -1/6 (* s (/ 1/4 r)))))
(* r 5/72)
r
5/72
(* s (+ -1/6 (* s (/ 1/4 r))))
s
(+ -1/6 (* s (/ 1/4 r)))
-1/6
(* s (/ 1/4 r))
(/ 1/4 r)
1/4
(* s (* s s))
(* s s)
(PI)
(/ (* (/ 1/8 (* r s)) (+ (exp (- 0 (/ r s))) (/ (* r (* r 1/18)) (* s s)))) (PI))
(* (/ 1/8 (* r s)) (+ (exp (- 0 (/ r s))) (/ (* r (* r 1/18)) (* s s))))
(/ 1/8 (* r s))
1/8
(* r s)
r
s
(+ (exp (- 0 (/ r s))) (/ (* r (* r 1/18)) (* s s)))
(exp (- 0 (/ r s)))
(- 0 (/ r s))
0
(/ r s)
(/ (* r (* r 1/18)) (* s s))
(* r (* r 1/18))
(* r 1/18)
1/18
(* s s)
(PI)

Outputs
(/ (/ (/ (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (/ r -3) s)))) r) s) (PI))
(/.f32 (+.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s)))) (.f32 r (.f32 s (PI.f32))))
(/ (/ (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (/ r -3) s)))) r) s)
(/.f32 (+.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s)))) (*.f32 r s))
(/ (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (/ r -3) s)))) r)
(/.f32 (+.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s)))) r)
(* 1/8 (+ (exp (/ r (neg s))) (exp (/ (/ r -3) s))))
(+.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))))
1/8
#s(literal 1/8 binary32)
(+ (exp (/ r (neg s))) (exp (/ (/ r -3) s)))
(+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))
(exp (/ r (neg s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(/ r (neg s))
(-.f32 #s(literal 0 binary32) (/.f32 r s))
r
(neg s)
(neg.f32 s)
s
(exp (/ (/ r -3) s))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/ (/ r -3) s)
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(/ r -3)
(/.f32 r #s(literal -3 binary32))
-3
#s(literal -3 binary32)
(PI)
(PI.f32)
(/ 1/4 (* (* r (PI)) s))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
1/4
#s(literal 1/4 binary32)
(* (* r (PI)) s)
(.f32 r (.f32 s (PI.f32)))
(* r (PI))
(*.f32 r (PI.f32))
r
(PI)
(PI.f32)
s
(* (/ 1/4 s) (* (/ 1 r) (/ 1 (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
1/4
#s(literal 1/4 binary32)
s
(* (/ 1 r) (/ 1 (PI)))
(/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32)))
(/ 1 r)
(/.f32 #s(literal 1 binary32) r)
1
#s(literal 1 binary32)
r
(/ 1 (PI))
(/.f32 #s(literal 1 binary32) (PI.f32))
(PI)
(PI.f32)
(/ (/ (+ (* r 5/72) (* s (+ -1/6 (* s (/ 1/4 r))))) (* s (* s s))) (PI))
(/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 s #s(literal 1/4 binary32)) r)))) (.f32 (PI.f32) (.f32 s (.f32 s s))))
(/ (+ (* r 5/72) (* s (+ -1/6 (* s (/ 1/4 r))))) (* s (* s s)))
(/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 s #s(literal 1/4 binary32)) r)))) (.f32 s (*.f32 s s)))
(+ (* r 5/72) (* s (+ -1/6 (* s (/ 1/4 r)))))
(+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s #s(literal 1/4 binary32)) r))))
(* r 5/72)
(*.f32 r #s(literal 5/72 binary32))
r
5/72
#s(literal 5/72 binary32)
(* s (+ -1/6 (* s (/ 1/4 r))))
(.f32 s (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 s #s(literal 1/4 binary32)) r)))
s
(+ -1/6 (* s (/ 1/4 r)))
(+.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s #s(literal 1/4 binary32)) r))
-1/6
#s(literal -1/6 binary32)
(* s (/ 1/4 r))
(/.f32 (*.f32 s #s(literal 1/4 binary32)) r)
(/ 1/4 r)
(/.f32 #s(literal 1/4 binary32) r)
1/4
#s(literal 1/4 binary32)
(* s (* s s))
(.f32 s (.f32 s s))
(* s s)
(*.f32 s s)
(PI)
(PI.f32)
(/ (* (/ 1/8 (* r s)) (+ (exp (- 0 (/ r s))) (/ (* r (* r 1/18)) (* s s)))) (PI))
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) r) (/.f32 (.f32 #s(literal 1/144 binary32) r) (.f32 s s))) (*.f32 s (PI.f32)))
(* (/ 1/8 (* r s)) (+ (exp (- 0 (/ r s))) (/ (* r (* r 1/18)) (* s s))))
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) r) (/.f32 (.f32 #s(literal 1/144 binary32) r) (.f32 s s))) s)
(/ 1/8 (* r s))
(/.f32 (/.f32 #s(literal 1/8 binary32) r) s)
1/8
#s(literal 1/8 binary32)
(* r s)
(*.f32 r s)
r
s
(+ (exp (- 0 (/ r s))) (/ (* r (* r 1/18)) (* s s)))
(+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (*.f32 s 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 (* r 1/18)) (* s s))
(/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (*.f32 s s))
(* r (* r 1/18))
(.f32 r (.f32 r #s(literal 1/18 binary32)))
(* r 1/18)
(*.f32 r #s(literal 1/18 binary32))
1/18
#s(literal 1/18 binary32)
(* s s)
(*.f32 s s)
(PI)
(PI.f32)

localize302.0ms (2%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(.f32 r (.f32 r #s(literal 1/18 binary32)))
✓	accuracy	99.3%	(/.f32 #s(literal 1/8 binary32) (*.f32 r s))
✓	accuracy	99.2%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (*.f32 s s)))) (PI.f32))
✓	accuracy	98.8%	(/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (*.f32 s s))
✓	accuracy	99.3%	(*.f32 s (/.f32 #s(literal 1/4 binary32) r))
✓	accuracy	99.3%	(/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (.f32 s (/.f32 #s(literal 1/4 binary32) r))))) (.f32 s (*.f32 s s)))
✓	accuracy	99.0%	(.f32 s (+.f32 #s(literal -1/6 binary32) (.f32 s (/.f32 #s(literal 1/4 binary32) r))))
✓	accuracy	98.1%	(*.f32 r #s(literal 5/72 binary32))
✓	accuracy	100.0%	(/.f32 #s(literal 1/4 binary32) s)
✓	accuracy	99.6%	(PI.f32)
✓	accuracy	98.9%	(.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1 binary32) (PI.f32))))
✓	accuracy	98.6%	(*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1 binary32) (PI.f32)))
✓	accuracy	99.6%	(PI.f32)
✓	accuracy	99.3%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
✓	accuracy	99.3%	(.f32 (.f32 r (PI.f32)) s)
✓	accuracy	98.9%	(*.f32 r (PI.f32))
✓	accuracy	99.8%	(/.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) r) s) (PI.f32))
✓	accuracy	99.8%	(exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))
✓	accuracy	99.6%	(PI.f32)
✓	accuracy	99.5%	(/.f32 (/.f32 r #s(literal -3 binary32)) s)

Results

214.0ms	255×	0	valid
12.0ms	1×	5	exit

Compiler

Compiled 368 to 52 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-mult: 35.0ms (34.5% of total)

ival-div: 29.0ms (28.5% of total)

...c/correct-round.rkt:119:19: 12.0ms (11.8% of total)

backward-pass: 9.0ms (8.9% of total)

ival-exp: 6.0ms (5.9% of total)

ival-add: 5.0ms (4.9% of total)

ival-neg: 2.0ms (2% of total)

const: 1.0ms (1% of total)

ival-sub: 1.0ms (1% of total)

ival-pi: 1.0ms (1% of total)

series39.0ms (0.3%)

Counts

25 → 480

Calls

Call 1

Inputs
#<alt (neg s)>
#<alt (exp (/ (/ r -3) s))>
#<alt (/ (/ r -3) s)>
#<alt (/ r -3)>
#<alt (/ 1/4 (* (* r (PI)) s))>
#<alt (* (* r (PI)) s)>
#<alt (* r (PI))>
#<alt (PI)>
#<alt (* (/ 1/4 s) (* (/ 1 r) (/ 1 (PI))))>
#<alt (* (/ 1 r) (/ 1 (PI)))>
#<alt (/ 1/4 s)>
#<alt (/ 1 r)>
#<alt (/ (/ (+ (* r 5/72) (* s (+ -1/6 (* s (/ 1/4 r))))) (* s (* s s))) (PI))>
#<alt (/ (+ (* r 5/72) (* s (+ -1/6 (* s (/ 1/4 r))))) (* s (* s s)))>
#<alt (+ (* r 5/72) (* s (+ -1/6 (* s (/ 1/4 r)))))>
#<alt (* r 5/72)>
#<alt (/ (* (/ 1/8 (* r s)) (+ (exp (- 0 (/ r s))) (/ (* r (* r 1/18)) (* s s)))) (PI))>
#<alt (* (/ 1/8 (* r s)) (+ (exp (- 0 (/ r s))) (/ (* r (* r 1/18)) (* s s))))>
#<alt (/ 1/8 (* r s))>
#<alt (* r s)>
#<alt (/ (/ (/ (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (/ r -3) s)))) r) s) (PI))>
#<alt (* s (+ -1/6 (* s (/ 1/4 r))))>
#<alt (* s (/ 1/4 r))>
#<alt (/ (* r (* r 1/18)) (* s s))>
#<alt (* r (* r 1/18))>

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

Calls

120 calls:

Time	Variable		Point	Expression
13.0ms	r	@	-inf	(/ (* (/ 1/8 (* r s)) (+ (exp (- 0 (/ r s))) (/ (* r (* r 1/18)) (* s s)))) (PI))
3.0ms	s	@	0	(/ (* (/ 1/8 (* r s)) (+ (exp (- 0 (/ r s))) (/ (* r (* r 1/18)) (* s s)))) (PI))
1.0ms	s	@	0	(/ (/ (+ (* r 5/72) (* s (+ -1/6 (* s (/ 1/4 r))))) (* s (* s s))) (PI))
1.0ms	r	@	inf	(/ (* (/ 1/8 (* r s)) (+ (exp (- 0 (/ r s))) (/ (* r (* r 1/18)) (* s s)))) (PI))
1.0ms	r	@	0	(/ (/ (+ (* r 5/72) (* s (+ -1/6 (* s (/ 1/4 r))))) (* s (* s s))) (PI))

rewrite389.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3992×	`/-lowering-/.f32`
3992×	`/-lowering-/.f64`
3290×	`-lowering-.f32`
3290×	`-lowering-.f64`
1902×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	194
1	333	186
2	3105	184
0	9157	184

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 929

Calls

Call 1

Inputs
(neg s)
(exp (/ (/ r -3) s))
(/ (/ r -3) s)
(/ r -3)
(/ 1/4 (* (* r (PI)) s))
(* (* r (PI)) s)
(* r (PI))
(PI)
(* (/ 1/4 s) (* (/ 1 r) (/ 1 (PI))))
(* (/ 1 r) (/ 1 (PI)))
(/ 1/4 s)
(/ 1 r)
(/ (/ (+ (* r 5/72) (* s (+ -1/6 (* s (/ 1/4 r))))) (* s (* s s))) (PI))
(/ (+ (* r 5/72) (* s (+ -1/6 (* s (/ 1/4 r))))) (* s (* s s)))
(+ (* r 5/72) (* s (+ -1/6 (* s (/ 1/4 r)))))
(* r 5/72)
(/ (* (/ 1/8 (* r s)) (+ (exp (- 0 (/ r s))) (/ (* r (* r 1/18)) (* s s)))) (PI))
(* (/ 1/8 (* r s)) (+ (exp (- 0 (/ r s))) (/ (* r (* r 1/18)) (* s s))))
(/ 1/8 (* r s))
(* r s)
(/ (/ (/ (* 1/8 (+ (exp (/ r (neg s))) (exp (/ (/ r -3) s)))) r) s) (PI))
(* s (+ -1/6 (* s (/ 1/4 r))))
(* s (/ 1/4 r))
(/ (* r (* r 1/18)) (* s s))
(* r (* r 1/18))

Outputs
(neg.f32 s)
(+.f32 #s(literal 0 binary32) (neg.f32 s))
(-.f32 #s(literal 0 binary32) s)
(/.f32 (.f32 s (.f32 s s)) (neg.f32 (+.f32 #s(literal 0 binary32) (+.f32 (.f32 s s) (.f32 #s(literal 0 binary32) s)))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s))
(/.f32 (neg.f32 (.f32 s (.f32 s s))) (+.f32 #s(literal 0 binary32) (+.f32 (.f32 s s) (.f32 #s(literal 0 binary32) s))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s))) (neg.f32 (+.f32 #s(literal 0 binary32) s)))
(*.f32 s #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) s)
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 r #s(literal -3 binary32)))) (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32))))
(pow.f32 (exp.f32 r) (/.f32 #s(literal 1 binary32) (*.f32 s #s(literal -3 binary32))))
(pow.f32 (exp.f32 r) (*.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s))
(pow.f32 (exp.f32 (/.f32 r #s(literal -3 binary32))) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (/.f32 r #s(literal -3 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (/.f32 r #s(literal -3 binary32)))
(pow.f32 (exp.f32 (/.f32 r #s(literal 3 binary32))) (/.f32 #s(literal -1 binary32) s))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal 3 binary32)) s)))
(cbrt.f32 (exp.f32 (/.f32 r (neg.f32 s))))
(neg.f32 (/.f32 (/.f32 r #s(literal 3 binary32)) s))
(exp.f32 (*.f32 (log.f32 (/.f32 s (/.f32 r #s(literal -3 binary32)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 s (/.f32 r #s(literal -3 binary32))) #s(literal -1 binary32))
(pow.f32 (*.f32 (/.f32 #s(literal -3 binary32) r) s) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 s (/.f32 r #s(literal -3 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 r #s(literal -3 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -3 binary32) r) s))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal -3 binary32)) r))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (/.f32 r #s(literal -3 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 s (/.f32 r #s(literal -3 binary32))))))
(/.f32 (/.f32 r s) #s(literal -3 binary32))
(/.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (/.f32 r #s(literal -3 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (/.f32 #s(literal -3 binary32) r) s)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 s (/.f32 r #s(literal -3 binary32))) #s(literal 1 binary32))))
(/.f32 (neg.f32 r) (neg.f32 (*.f32 s #s(literal -3 binary32))))
(/.f32 (neg.f32 r) (*.f32 s #s(literal 3 binary32)))
(/.f32 (/.f32 r #s(literal 3 binary32)) (neg.f32 s))
(/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -3 binary32) r))
(/.f32 (/.f32 #s(literal -1 binary32) s) (neg.f32 (/.f32 #s(literal -3 binary32) r)))
(/.f32 (.f32 (neg.f32 r) #s(literal 1 binary32)) (.f32 #s(literal 3 binary32) s))
(/.f32 (neg.f32 (neg.f32 r)) (neg.f32 (neg.f32 (*.f32 s #s(literal -3 binary32)))))
(/.f32 (neg.f32 (neg.f32 r)) (neg.f32 (*.f32 s #s(literal 3 binary32))))
(/.f32 (*.f32 (/.f32 r #s(literal -3 binary32)) #s(literal 1 binary32)) s)
(/.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) #s(literal 1 binary32)) s)
(/.f32 (neg.f32 (.f32 (neg.f32 r) #s(literal 1 binary32))) (neg.f32 (.f32 #s(literal 3 binary32) s)))
(/.f32 (neg.f32 (*.f32 (/.f32 r #s(literal -3 binary32)) #s(literal 1 binary32))) (neg.f32 s))
(/.f32 (neg.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) #s(literal 1 binary32))) (neg.f32 s))
(.f32 r (/.f32 #s(literal 1 binary32) (.f32 s #s(literal -3 binary32))))
(.f32 r (.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1 binary32) s)))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(*.f32 (/.f32 r #s(literal -3 binary32)) (/.f32 #s(literal 1 binary32) s))
(.f32 #s(literal 1 binary32) (/.f32 r (.f32 s #s(literal -3 binary32))))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(*.f32 (/.f32 r (neg.f32 s)) #s(literal 1/3 binary32))
(*.f32 (/.f32 r #s(literal 3 binary32)) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 r #s(literal -3 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (log.f32 (exp.f32 (/.f32 r #s(literal -3 binary32)))))
(log.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))
(neg.f32 (/.f32 r #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal -3 binary32) r)) #s(literal -1 binary32)))
(pow.f32 (/.f32 #s(literal -3 binary32) r) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal -3 binary32) r) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 r #s(literal -3 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -3 binary32) r))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -3 binary32) r) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 #s(literal -3 binary32) r))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal -3 binary32) r)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 #s(literal -3 binary32) r) #s(literal 1 binary32))))
(/.f32 (neg.f32 r) #s(literal 3 binary32))
(/.f32 (neg.f32 (neg.f32 r)) #s(literal -3 binary32))
(/.f32 (neg.f32 (neg.f32 (neg.f32 r))) #s(literal 3 binary32))
(*.f32 r #s(literal -1/3 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 r #s(literal -3 binary32)))
(*.f32 (neg.f32 r) #s(literal 1/3 binary32))
(*.f32 #s(literal -1/3 binary32) r)
(neg.f32 (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) (.f32 s r))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 (PI.f32) (*.f32 s r)) #s(literal 1/4 binary32))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (.f32 (PI.f32) (.f32 s r)) #s(literal 1/4 binary32)) #s(literal -1 binary32))
(pow.f32 (.f32 (/.f32 s #s(literal 1/4 binary32)) (.f32 r (PI.f32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (.f32 (PI.f32) (.f32 s r)) #s(literal 1/4 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
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(pow.f32 (/.f32 (/.f32 (.f32 s s) (.f32 #s(literal 1/18 binary32) (*.f32 r r))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 s (/.f32 (.f32 #s(literal 1/18 binary32) (.f32 r r)) s)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 s s) (.f32 #s(literal 1/18 binary32) (*.f32 r r))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 s s) (.f32 #s(literal 1/18 binary32) (*.f32 r r))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (.f32 #s(literal 1/18 binary32) (.f32 r r)) s)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (.f32 s s) (.f32 #s(literal 1/18 binary32) (*.f32 r r))))))
(/.f32 (.f32 #s(literal 1/18 binary32) (.f32 r r)) (*.f32 s s))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 s s) (.f32 #s(literal 1/18 binary32) (*.f32 r r)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (.f32 s s) (.f32 #s(literal 1/18 binary32) (*.f32 r r))) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (/.f32 (.f32 #s(literal 1/18 binary32) (.f32 r r)) s))))
(/.f32 (.f32 (.f32 r r) #s(literal -1/18 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 s s)))
(/.f32 (/.f32 (.f32 #s(literal 1/18 binary32) (.f32 r r)) s) s)
(/.f32 (.f32 #s(literal 1 binary32) (.f32 r #s(literal 1/18 binary32))) (*.f32 (/.f32 s r) s))
(/.f32 (.f32 (.f32 #s(literal 1/18 binary32) (.f32 r r)) #s(literal 1 binary32)) (.f32 s s))
(/.f32 (neg.f32 (.f32 (.f32 r r) #s(literal -1/18 binary32))) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s))))
(/.f32 (neg.f32 (/.f32 (.f32 #s(literal 1/18 binary32) (.f32 r r)) s)) (neg.f32 s))
(/.f32 (.f32 (/.f32 r s) (.f32 r #s(literal 1/18 binary32))) s)
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 r #s(literal 1/18 binary32)) s)) (/.f32 s r))
(/.f32 (.f32 (neg.f32 r) (/.f32 (.f32 r #s(literal 1/18 binary32)) s)) (neg.f32 s))
(/.f32 (neg.f32 (.f32 (.f32 #s(literal 1/18 binary32) (.f32 r r)) #s(literal 1 binary32))) (-.f32 #s(literal 0 binary32) (.f32 s s)))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (.f32 r #s(literal 1/18 binary32)))) (neg.f32 (*.f32 (/.f32 s r) s)))
(/.f32 (neg.f32 (neg.f32 (.f32 (.f32 r r) #s(literal -1/18 binary32)))) (neg.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (.f32 #s(literal 1/18 binary32) (.f32 r r)) s))) s)
(/.f32 (neg.f32 (.f32 (/.f32 r s) (.f32 r #s(literal 1/18 binary32)))) (neg.f32 s))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 r #s(literal 1/18 binary32)) s))) (/.f32 (neg.f32 s) r))
(/.f32 (neg.f32 (.f32 (neg.f32 r) (/.f32 (.f32 r #s(literal 1/18 binary32)) s))) s)
(.f32 r (/.f32 (/.f32 (.f32 r #s(literal 1/18 binary32)) s) s))
(.f32 r (.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 r #s(literal 1/18 binary32)) s)))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 1/18 binary32) (.f32 r r)) (.f32 s s)))
(.f32 (/.f32 r s) (/.f32 (.f32 r #s(literal 1/18 binary32)) s))
(.f32 (.f32 r #s(literal 1/18 binary32)) (.f32 r (/.f32 #s(literal 1 binary32) (.f32 s s))))
(.f32 (.f32 r #s(literal 1/18 binary32)) (/.f32 r (*.f32 s s)))
(.f32 (.f32 #s(literal 1/18 binary32) (.f32 r r)) (/.f32 #s(literal 1 binary32) (.f32 s s)))
(.f32 (.f32 (.f32 r r) #s(literal -1/18 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (.f32 s s))))
(.f32 (/.f32 (.f32 r #s(literal 1/18 binary32)) s) (/.f32 r s))
(.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (.f32 #s(literal 1/18 binary32) (*.f32 r r)) s))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 s s)) (.f32 #s(literal 1/18 binary32) (.f32 r r)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 s s)) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/18 binary32) (.f32 r r))) #s(literal -1 binary32)))
(.f32 (.f32 r r) (.f32 #s(literal 1/18 binary32) (/.f32 #s(literal 1 binary32) (.f32 s s))))
(.f32 (.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)))
(.f32 (/.f32 (.f32 #s(literal 1/18 binary32) (*.f32 r r)) s) (/.f32 #s(literal 1 binary32) s))
(.f32 (/.f32 (/.f32 (.f32 r #s(literal 1/18 binary32)) s) s) r)
(.f32 (/.f32 (.f32 r r) s) (/.f32 #s(literal 1/18 binary32) s))
(.f32 (pow.f32 (/.f32 s (.f32 r r)) #s(literal -1 binary32)) (pow.f32 (/.f32 s #s(literal 1/18 binary32)) #s(literal -1 binary32)))
(.f32 r (.f32 r #s(literal 1/18 binary32)))
(.f32 #s(literal 1/18 binary32) (.f32 r r))
(.f32 (.f32 r #s(literal 1/18 binary32)) r)
(.f32 (.f32 r r) #s(literal 1/18 binary32))

simplify333.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

5370×	`-lowering-.f32`
5370×	`-lowering-.f64`
2720×	`+-lowering-+.f64`
2720×	`+-lowering-+.f32`
1914×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	454	4219
1	1509	3983
2	4204	3924
0	8726	3924

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

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

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

eval170.0ms (1.1%)

Compiler: Compiled 35673 to 3703 computations (89.6% saved)

prune216.0ms (1.4%)

Pruning

49 alts after pruning (45 fresh and 4 done)

	Pruned	Kept	Total
New	1586	19	1605
Fresh	29	26	55
Picked	3	2	5
Done	0	2	2
Total	1618	49	1667

Accuracy

99.9%

Counts

1667 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.1%	(/.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 r #s(literal -1/6 binary32)) s)) s) r) (PI.f32))
	98.2%	(/.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s)))) r) s) (PI.f32))
▶	99.7%	(/.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (pow.f32 (E.f32) (/.f32 r (.f32 s #s(literal -3 binary32)))))) r) s) (PI.f32))
	99.4%	(/.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))))) r) s) (.f32 (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 3 binary32))))
✓	99.7%	(/.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) r) s) (PI.f32))
	8.8%	(/.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) r) s) (PI.f32))
	9.6%	(/.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 r s) (+.f32 #s(literal -1/3 binary32) (/.f32 (*.f32 r #s(literal 1/18 binary32)) s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) s) r) (PI.f32))
✓	8.4%	(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32))
	9.0%	(/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 r #s(literal -5/72 binary32)) s)) s)) s) (PI.f32))
	8.9%	(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 r #s(literal 5/72 binary32)) s)) s) s))) r) (PI.f32))
▶	8.1%	(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s s)))) r) (PI.f32))
	8.2%	(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal -1/6 binary32) s)) s) (PI.f32))
	7.5%	(/.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/8 binary32) (/.f32 (.f32 r #s(literal 5/9 binary32)) s))) s)) (.f32 (/.f32 (.f32 r (/.f32 r (*.f32 s s))) s) #s(literal -1/48 binary32))) s) (PI.f32))
	3.9%	(/.f32 (/.f32 (+.f32 (.f32 s #s(literal -1/24 binary32)) (.f32 r #s(literal 1/144 binary32))) (.f32 s (.f32 s s))) (PI.f32))
	8.9%	(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (/.f32 (.f32 s (+.f32 (.f32 s #s(literal 1/4 binary32)) (.f32 r #s(literal -1/6 binary32)))) r)) (.f32 s (.f32 s s))) (PI.f32))
	8.9%	(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 r #s(literal 1/4 binary32)))))) (PI.f32)) (.f32 s (.f32 s s)))
	8.9%	(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 r #s(literal 1/4 binary32)))))) s) (.f32 (PI.f32) (.f32 s s)))
	8.9%	(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (/.f32 r (.f32 s #s(literal 1/4 binary32))))))) (.f32 s (*.f32 s s))) (PI.f32))
▶	9.5%	(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) r)) (.f32 s #s(literal 1/8 binary32)))))) (.f32 s (.f32 s s))) (PI.f32))
	5.6%	(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 (.f32 #s(literal 1/18 binary32) (.f32 r r)) (.f32 s s))) (/.f32 (.f32 s r) #s(literal 1/8 binary32))) (PI.f32))
	9.5%	(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 r #s(literal 1/3 binary32)) (/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/162 binary32) (.f32 r (.f32 r r))) s) (.f32 r (.f32 r #s(literal 1/18 binary32)))) s)) s))) (/.f32 (*.f32 r s) #s(literal 1/8 binary32))) (PI.f32))
✓	99.7%	(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (/.f32 (*.f32 r s) #s(literal 1/8 binary32))) (PI.f32))
	99.6%	(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 s (/.f32 (+.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 1/8 binary32)) (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s)))) r)))
	8.4%	(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
	8.4%	(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
	8.4%	(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
	6.6%	(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r)
▶	6.6%	(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) (PI.f32))
	8.9%	(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (+.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32)) (.f32 #s(literal 1/48 binary32) (.f32 r (/.f32 (/.f32 r s) (PI.f32))))) s)) s)) (neg.f32 s))
	8.8%	(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (+.f32 (/.f32 (.f32 r #s(literal -5/72 binary32)) (PI.f32)) (.f32 #s(literal 7/324 binary32) (/.f32 (/.f32 (*.f32 r r) s) (PI.f32)))) s)) s) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32))) s)
	3.9%	(/.f32 (+.f32 (/.f32 (.f32 s #s(literal -1/24 binary32)) (PI.f32)) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s (.f32 s s)))
	7.4%	(/.f32 (+.f32 (/.f32 (.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (PI.f32))) (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 (+.f32 (/.f32 (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s))) s)
	8.1%	(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s)
	4.8%	(/.f32 (.f32 (/.f32 (/.f32 r (.f32 s s)) s) #s(literal 1/144 binary32)) (PI.f32))
	8.9%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 r #s(literal 4/3 binary32)) (/.f32 (+.f32 (.f32 r (.f32 r #s(literal 5/9 binary32))) (/.f32 (.f32 (.f32 r (.f32 r r)) #s(literal -1/6 binary32)) s)) s)) s))) (PI.f32))
	5.6%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 (/.f32 (.f32 #s(literal 1/18 binary32) (.f32 r r)) s) s))) (PI.f32))
	8.1%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 r s) #s(literal -4/3 binary32)))) (PI.f32))
	99.6%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) s) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) s))) r)
	99.6%	(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (PI.f32))) s)
	2.5%	(/.f32 (.f32 r (-.f32 (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s s))) (/.f32 (/.f32 #s(literal 1/24 binary32) (.f32 s s)) r))) (PI.f32))
	7.5%	(/.f32 (.f32 r (+.f32 (/.f32 (/.f32 #s(literal 5/72 binary32) (.f32 s s)) s) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal -1/6 binary32) s)) s) r))) (PI.f32))
	99.7%	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))))) (.f32 (*.f32 r s) (PI.f32)))
▶	8.9%	(/.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (.f32 (/.f32 (*.f32 r r) s) #s(literal 1/48 binary32))) s)) s)) s)) (PI.f32))
✓	8.4%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
	9.5%	(+.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 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (+.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32)) (.f32 (/.f32 (/.f32 (*.f32 r r) s) (PI.f32)) #s(literal 1/1296 binary32))) s)) s) (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r)) s))
	8.1%	(+.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 (.f32 (.f32 r r) #s(literal -1/1296 binary32)) (.f32 s (.f32 (PI.f32) (.f32 s s)))) (+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) (/.f32 (+.f32 (.f32 #s(literal 1/144 binary32) (/.f32 (/.f32 r s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) s))) s))
	8.5%	(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	2.5%	(.f32 r (+.f32 (/.f32 (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s s))) (PI.f32)) (/.f32 #s(literal -1/24 binary32) (.f32 r (.f32 (.f32 s s) (PI.f32))))))
	99.6%	(.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (*.f32 s (PI.f32))))

Compiler

Compiled 2216 to 1550 computations (30.1% saved)

simplify253.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(.f32 s (+.f32 #s(literal -1/24 binary32) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) r)) (*.f32 s #s(literal 1/8 binary32)))))
✓	cost-diff	64	(+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) r)) (.f32 s #s(literal 1/8 binary32))))))
✓	cost-diff	64	(/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) r)) (.f32 s #s(literal 1/8 binary32)))))) (.f32 s (.f32 s s)))
✓	cost-diff	64	(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) r)) (.f32 s #s(literal 1/8 binary32)))))) (.f32 s (.f32 s s))) (PI.f32))
✓	cost-diff	64	(-.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (.f32 (/.f32 (*.f32 r r) s) #s(literal 1/48 binary32))) s)) s))
✓	cost-diff	64	(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (.f32 (/.f32 (*.f32 r r) s) #s(literal 1/48 binary32))) s)) s)) s)
✓	cost-diff	96	(neg.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (.f32 (/.f32 (*.f32 r r) s) #s(literal 1/48 binary32))) s)) s)) s))
✓	cost-diff	96	(/.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (.f32 (/.f32 (*.f32 r r) s) #s(literal 1/48 binary32))) s)) s)) s)) (PI.f32))
✓	cost-diff	0	(/.f32 #s(literal 1/4 binary32) s)
✓	cost-diff	0	(+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s s))))
✓	cost-diff	0	(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s s)))) r)
✓	cost-diff	0	(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s s)))) r) (PI.f32))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(*.f32 s r)
✓	cost-diff	0	(/.f32 #s(literal 1/8 binary32) (*.f32 s r))
✓	cost-diff	0	(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) (PI.f32))
✓	cost-diff	0	(/.f32 r (*.f32 s #s(literal -3 binary32)))
✓	cost-diff	0	(E.f32)
✓	cost-diff	0	(pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32))))
✓	cost-diff	0	(neg.f32 s)

Rules

3644×	`-lowering-.f32`
3644×	`-lowering-.f64`
1930×	`/-lowering-/.f32`
1930×	`/-lowering-/.f64`
1404×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	64	522
1	153	514
2	342	512
3	813	504
4	2301	497
5	7510	497
0	8018	497

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (/ (* 1/8 (+ (exp (/ r (neg s))) (pow (E) (/ r (* s -3))))) r) s) (PI))
(/ (/ (* 1/8 (+ (exp (/ r (neg s))) (pow (E) (/ r (* s -3))))) r) s)
(/ (* 1/8 (+ (exp (/ r (neg s))) (pow (E) (/ r (* s -3))))) r)
(* 1/8 (+ (exp (/ r (neg s))) (pow (E) (/ r (* s -3)))))
1/8
(+ (exp (/ r (neg s))) (pow (E) (/ r (* s -3))))
(exp (/ r (neg s)))
(/ r (neg s))
r
(neg s)
s
(pow (E) (/ r (* s -3)))
(E)
(/ r (* s -3))
(* s -3)
-3
(PI)
(/ (/ 1/8 (* s r)) (PI))
(/ 1/8 (* s r))
1/8
(* s r)
s
r
(PI)
(/ (/ (+ (/ 1/4 s) (* r (/ -1/6 (* s s)))) r) (PI))
(/ (+ (/ 1/4 s) (* r (/ -1/6 (* s s)))) r)
(+ (/ 1/4 s) (* r (/ -1/6 (* s s))))
(/ 1/4 s)
1/4
s
(* r (/ -1/6 (* s s)))
r
(/ -1/6 (* s s))
-1/6
(* s s)
(PI)
(/ (neg (/ (- (/ -1/4 r) (/ (- -1/6 (/ (+ (* r -5/72) (* (/ (* r r) s) 1/48)) s)) s)) s)) (PI))
(neg (/ (- (/ -1/4 r) (/ (- -1/6 (/ (+ (* r -5/72) (* (/ (* r r) s) 1/48)) s)) s)) s))
(/ (- (/ -1/4 r) (/ (- -1/6 (/ (+ (* r -5/72) (* (/ (* r r) s) 1/48)) s)) s)) s)
(- (/ -1/4 r) (/ (- -1/6 (/ (+ (* r -5/72) (* (/ (* r r) s) 1/48)) s)) s))
(/ -1/4 r)
-1/4
r
(/ (- -1/6 (/ (+ (* r -5/72) (* (/ (* r r) s) 1/48)) s)) s)
(- -1/6 (/ (+ (* r -5/72) (* (/ (* r r) s) 1/48)) s))
-1/6
(/ (+ (* r -5/72) (* (/ (* r r) s) 1/48)) s)
(+ (* r -5/72) (* (/ (* r r) s) 1/48))
(* r -5/72)
-5/72
(* (/ (* r r) s) 1/48)
(/ (* r r) s)
(* r r)
s
1/48
(PI)
(/ (/ (+ (* r 1/144) (* s (+ -1/24 (* (+ (/ 1 r) (/ (exp (- 0 (/ r s))) r)) (* s 1/8))))) (* s (* s s))) (PI))
(/ (+ (* r 1/144) (* s (+ -1/24 (* (+ (/ 1 r) (/ (exp (- 0 (/ r s))) r)) (* s 1/8))))) (* s (* s s)))
(+ (* r 1/144) (* s (+ -1/24 (* (+ (/ 1 r) (/ (exp (- 0 (/ r s))) r)) (* s 1/8)))))
(* r 1/144)
r
1/144
(* s (+ -1/24 (* (+ (/ 1 r) (/ (exp (- 0 (/ r s))) r)) (* s 1/8))))
s
(+ -1/24 (* (+ (/ 1 r) (/ (exp (- 0 (/ r s))) r)) (* s 1/8)))
-1/24
(* (+ (/ 1 r) (/ (exp (- 0 (/ r s))) r)) (* s 1/8))
(+ (/ 1 r) (/ (exp (- 0 (/ r s))) r))
(/ 1 r)
1
(/ (exp (- 0 (/ r s))) r)
(exp (- 0 (/ r s)))
(- 0 (/ r s))
0
(/ r s)
(* s 1/8)
1/8
(* s (* s s))
(* s s)
(PI)

Outputs
(/ (/ (/ (* 1/8 (+ (exp (/ r (neg s))) (pow (E) (/ r (* s -3))))) r) s) (PI))
(.f32 (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (pow.f32 (E.f32) (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (*.f32 r (PI.f32)))))
(/ (/ (* 1/8 (+ (exp (/ r (neg s))) (pow (E) (/ r (* s -3))))) r) s)
(/.f32 (+.f32 (.f32 #s(literal 1/8 binary32) (pow.f32 (E.f32) (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s)))) (.f32 r s))
(/ (* 1/8 (+ (exp (/ r (neg s))) (pow (E) (/ r (* s -3))))) r)
(*.f32 (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (pow.f32 (E.f32) (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) r))
(* 1/8 (+ (exp (/ r (neg s))) (pow (E) (/ r (* s -3)))))
(+.f32 (*.f32 #s(literal 1/8 binary32) (pow.f32 (E.f32) (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))))
1/8
#s(literal 1/8 binary32)
(+ (exp (/ r (neg s))) (pow (E) (/ r (* s -3))))
(+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (pow.f32 (E.f32) (/.f32 (/.f32 r s) #s(literal -3 binary32))))
(exp (/ r (neg s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(/ r (neg s))
(-.f32 #s(literal 0 binary32) (/.f32 r s))
r
(neg s)
(neg.f32 s)
s
(pow (E) (/ r (* s -3)))
(pow.f32 (E.f32) (/.f32 (/.f32 r s) #s(literal -3 binary32)))
(E)
(E.f32)
(/ r (* s -3))
(/.f32 (/.f32 r s) #s(literal -3 binary32))
(* s -3)
(*.f32 s #s(literal -3 binary32))
-3
#s(literal -3 binary32)
(PI)
(PI.f32)
(/ (/ 1/8 (* s r)) (PI))
(/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32))))
(/ 1/8 (* s r))
(/.f32 #s(literal 1/8 binary32) (*.f32 r s))
1/8
#s(literal 1/8 binary32)
(* s r)
(*.f32 r s)
s
r
(PI)
(PI.f32)
(/ (/ (+ (/ 1/4 s) (* r (/ -1/6 (* s s)))) r) (PI))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s s)))) (*.f32 r (PI.f32)))
(/ (+ (/ 1/4 s) (* r (/ -1/6 (* s s)))) r)
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s s)))) r)
(+ (/ 1/4 s) (* r (/ -1/6 (* s s))))
(+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s s))))
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
1/4
#s(literal 1/4 binary32)
s
(* r (/ -1/6 (* s s)))
(.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s s)))
r
(/ -1/6 (* s s))
(/.f32 #s(literal -1/6 binary32) (*.f32 s s))
-1/6
#s(literal -1/6 binary32)
(* s s)
(*.f32 s s)
(PI)
(PI.f32)
(/ (neg (/ (- (/ -1/4 r) (/ (- -1/6 (/ (+ (* r -5/72) (* (/ (* r r) s) 1/48)) s)) s)) s)) (PI))
(/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 r (/.f32 (+.f32 #s(literal 5/72 binary32) (/.f32 (.f32 r #s(literal -1/48 binary32)) s)) s))) s) (/.f32 #s(literal 1/4 binary32) r)) (*.f32 s (PI.f32)))
(neg (/ (- (/ -1/4 r) (/ (- -1/6 (/ (+ (* r -5/72) (* (/ (* r r) s) 1/48)) s)) s)) s))
(/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 r (/.f32 (+.f32 #s(literal 5/72 binary32) (/.f32 (.f32 r #s(literal -1/48 binary32)) s)) s))) s) (/.f32 #s(literal 1/4 binary32) r)) s)
(/ (- (/ -1/4 r) (/ (- -1/6 (/ (+ (* r -5/72) (* (/ (* r r) s) 1/48)) s)) s)) s)
(/.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (+.f32 (.f32 r (/.f32 (+.f32 #s(literal -5/72 binary32) (/.f32 (.f32 r #s(literal 1/48 binary32)) s)) s)) #s(literal 1/6 binary32)) s)) s)
(- (/ -1/4 r) (/ (- -1/6 (/ (+ (* r -5/72) (* (/ (* r r) s) 1/48)) s)) s))
(+.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (+.f32 (.f32 r (/.f32 (+.f32 #s(literal -5/72 binary32) (/.f32 (.f32 r #s(literal 1/48 binary32)) s)) s)) #s(literal 1/6 binary32)) s))
(/ -1/4 r)
(/.f32 #s(literal -1/4 binary32) r)
-1/4
#s(literal -1/4 binary32)
r
(/ (- -1/6 (/ (+ (* r -5/72) (* (/ (* r r) s) 1/48)) s)) s)
(/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 r (/.f32 (+.f32 #s(literal 5/72 binary32) (/.f32 (.f32 r #s(literal -1/48 binary32)) s)) s))) s)
(- -1/6 (/ (+ (* r -5/72) (* (/ (* r r) s) 1/48)) s))
(+.f32 #s(literal -1/6 binary32) (.f32 r (/.f32 (+.f32 #s(literal 5/72 binary32) (/.f32 (.f32 r #s(literal -1/48 binary32)) s)) s)))
-1/6
#s(literal -1/6 binary32)
(/ (+ (* r -5/72) (* (/ (* r r) s) 1/48)) s)
(.f32 r (/.f32 (+.f32 #s(literal -5/72 binary32) (/.f32 (.f32 r #s(literal 1/48 binary32)) s)) s))
(+ (* r -5/72) (* (/ (* r r) s) 1/48))
(.f32 r (+.f32 #s(literal -5/72 binary32) (/.f32 (.f32 r #s(literal 1/48 binary32)) s)))
(* r -5/72)
(*.f32 r #s(literal -5/72 binary32))
-5/72
#s(literal -5/72 binary32)
(* (/ (* r r) s) 1/48)
(.f32 r (/.f32 (.f32 r #s(literal 1/48 binary32)) s))
(/ (* r r) s)
(/.f32 (*.f32 r r) s)
(* r r)
(*.f32 r r)
s
1/48
#s(literal 1/48 binary32)
(PI)
(PI.f32)
(/ (/ (+ (* r 1/144) (* s (+ -1/24 (* (+ (/ 1 r) (/ (exp (- 0 (/ r s))) r)) (* s 1/8))))) (* s (* s s))) (PI))
(/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (.f32 (/.f32 (.f32 #s(literal 1/8 binary32) s) r) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal 1 binary32)))))) (.f32 (PI.f32) (.f32 s (*.f32 s s))))
(/ (+ (* r 1/144) (* s (+ -1/24 (* (+ (/ 1 r) (/ (exp (- 0 (/ r s))) r)) (* s 1/8))))) (* s (* s s)))
(/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (.f32 (/.f32 (.f32 #s(literal 1/8 binary32) s) r) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal 1 binary32)))))) (.f32 s (.f32 s s)))
(+ (* r 1/144) (* s (+ -1/24 (* (+ (/ 1 r) (/ (exp (- 0 (/ r s))) r)) (* s 1/8)))))
(+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (.f32 (/.f32 (.f32 #s(literal 1/8 binary32) s) r) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal 1 binary32))))))
(* r 1/144)
(*.f32 r #s(literal 1/144 binary32))
r
1/144
#s(literal 1/144 binary32)
(* s (+ -1/24 (* (+ (/ 1 r) (/ (exp (- 0 (/ r s))) r)) (* s 1/8))))
(.f32 s (+.f32 #s(literal -1/24 binary32) (.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) s) r) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal 1 binary32)))))
s
(+ -1/24 (* (+ (/ 1 r) (/ (exp (- 0 (/ r s))) r)) (* s 1/8)))
(+.f32 #s(literal -1/24 binary32) (.f32 (/.f32 (.f32 #s(literal 1/8 binary32) s) r) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal 1 binary32))))
-1/24
#s(literal -1/24 binary32)
(* (+ (/ 1 r) (/ (exp (- 0 (/ r s))) r)) (* s 1/8))
(.f32 (/.f32 (.f32 #s(literal 1/8 binary32) s) r) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal 1 binary32)))
(+ (/ 1 r) (/ (exp (- 0 (/ r s))) r))
(*.f32 (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) r))
(/ 1 r)
(/.f32 #s(literal 1 binary32) r)
1
#s(literal 1 binary32)
(/ (exp (- 0 (/ r s))) r)
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) r)
(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)
(* s 1/8)
(*.f32 #s(literal 1/8 binary32) s)
1/8
#s(literal 1/8 binary32)
(* s (* s s))
(.f32 s (.f32 s s))
(* s s)
(*.f32 s s)
(PI)
(PI.f32)

localize415.0ms (2.8%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) r)) (.f32 s #s(literal 1/8 binary32)))))) (.f32 s (.f32 s s))) (PI.f32))
✓	accuracy	99.2%	(.f32 s (+.f32 #s(literal -1/24 binary32) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) r)) (*.f32 s #s(literal 1/8 binary32)))))
✓	accuracy	99.1%	(.f32 (+.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) r)) (.f32 s #s(literal 1/8 binary32)))
✓	accuracy	98.6%	(/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) r)) (.f32 s #s(literal 1/8 binary32)))))) (.f32 s (.f32 s s)))
✓	accuracy	99.3%	(PI.f32)
✓	accuracy	99.2%	(/.f32 (*.f32 r r) s)
✓	accuracy	98.1%	(*.f32 r #s(literal -5/72 binary32))
✓	accuracy	97.3%	(.f32 (/.f32 (.f32 r r) s) #s(literal 1/48 binary32))
✓	accuracy	99.3%	(PI.f32)
✓	accuracy	99.2%	(.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s s)))
✓	accuracy	99.2%	(/.f32 #s(literal -1/6 binary32) (*.f32 s s))
✓	accuracy	97.6%	(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s s)))) r)
✓	accuracy	100.0%	(*.f32 s r)
✓	accuracy	99.3%	(/.f32 #s(literal 1/8 binary32) (*.f32 s r))
✓	accuracy	99.3%	(PI.f32)
✓	accuracy	98.5%	(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) (PI.f32))
✓	accuracy	99.8%	(pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32))))
✓	accuracy	99.3%	(PI.f32)
✓	accuracy	99.3%	(E.f32)
✓	accuracy	99.3%	(/.f32 r (*.f32 s #s(literal -3 binary32)))

Results

293.0ms	254×	0	valid
24.0ms	2×	5	exit

Compiler

Compiled 578 to 65 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-div: 55.0ms (34.4% of total)

ival-pow: 27.0ms (16.9% of total)

ival-mult: 25.0ms (15.7% of total)

...c/correct-round.rkt:119:19: 23.0ms (14.4% of total)

ival-add: 8.0ms (5% of total)

backward-pass: 5.0ms (3.1% of total)

ival-sub: 4.0ms (2.5% of total)

ival-exp: 4.0ms (2.5% of total)

ival-e: 4.0ms (2.5% of total)

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

const: 1.0ms (0.6% of total)

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

series53.0ms (0.4%)

Counts

26 → 528

Calls

Call 1

Inputs
#<alt (neg s)>
#<alt (pow (E) (/ r (* s -3)))>
#<alt (E)>
#<alt (/ r (* s -3))>
#<alt (/ (/ 1/8 (* s r)) (PI))>
#<alt (/ 1/8 (* s r))>
#<alt (* s r)>
#<alt (PI)>
#<alt (/ (/ (+ (/ 1/4 s) (* r (/ -1/6 (* s s)))) r) (PI))>
#<alt (/ (+ (/ 1/4 s) (* r (/ -1/6 (* s s)))) r)>
#<alt (+ (/ 1/4 s) (* r (/ -1/6 (* s s))))>
#<alt (/ 1/4 s)>
#<alt (/ (neg (/ (- (/ -1/4 r) (/ (- -1/6 (/ (+ (* r -5/72) (* (/ (* r r) s) 1/48)) s)) s)) s)) (PI))>
#<alt (neg (/ (- (/ -1/4 r) (/ (- -1/6 (/ (+ (* r -5/72) (* (/ (* r r) s) 1/48)) s)) s)) s))>
#<alt (/ (- (/ -1/4 r) (/ (- -1/6 (/ (+ (* r -5/72) (* (/ (* r r) s) 1/48)) s)) s)) s)>
#<alt (- (/ -1/4 r) (/ (- -1/6 (/ (+ (* r -5/72) (* (/ (* r r) s) 1/48)) s)) s))>
#<alt (/ (/ (+ (* r 1/144) (* s (+ -1/24 (* (+ (/ 1 r) (/ (exp (- 0 (/ r s))) r)) (* s 1/8))))) (* s (* s s))) (PI))>
#<alt (/ (+ (* r 1/144) (* s (+ -1/24 (* (+ (/ 1 r) (/ (exp (- 0 (/ r s))) r)) (* s 1/8))))) (* s (* s s)))>
#<alt (+ (* r 1/144) (* s (+ -1/24 (* (+ (/ 1 r) (/ (exp (- 0 (/ r s))) r)) (* s 1/8)))))>
#<alt (* s (+ -1/24 (* (+ (/ 1 r) (/ (exp (- 0 (/ r s))) r)) (* s 1/8))))>
#<alt (/ -1/6 (* s s))>
#<alt (* r (/ -1/6 (* s s)))>
#<alt (* (/ (* r r) s) 1/48)>
#<alt (* r -5/72)>
#<alt (/ (* r r) s)>
#<alt (* (+ (/ 1 r) (/ (exp (- 0 (/ r s))) r)) (* s 1/8))>

Outputs
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt 1>
#<alt (+ 1 (* -1/3 (/ (* r (log (E))) s)))>
#<alt (+ 1 (* r (+ (* -1/3 (/ (log (E)) s)) (* 1/18 (/ (* r (pow (log (E)) 2)) (pow s 2))))))>
#<alt (+ 1 (* r (+ (* -1/3 (/ (log (E)) s)) (* r (+ (* -1/162 (/ (* r (pow (log (E)) 3)) (pow s 3))) (* 1/18 (/ (pow (log (E)) 2) (pow s 2))))))))>
#<alt (exp (* -1/3 (/ (* r (log (E))) s)))>
#<alt (exp (* -1/3 (/ (* r (log (E))) s)))>
#<alt (exp (* -1/3 (/ (* r (log (E))) s)))>
#<alt (exp (* -1/3 (/ (* r (log (E))) s)))>
#<alt (exp (* -1/3 (/ (* r (log (E))) s)))>
#<alt (exp (* -1/3 (/ (* r (log (E))) s)))>
#<alt (exp (* -1/3 (/ (* r (log (E))) s)))>
#<alt (exp (* -1/3 (/ (* r (log (E))) s)))>
#<alt (exp (* -1/3 (/ (* r (log (E))) s)))>
#<alt (exp (* -1/3 (/ (* r (log (E))) s)))>
#<alt (exp (* -1/3 (/ (* r (log (E))) s)))>
#<alt (exp (* -1/3 (/ (* r (log (E))) s)))>
#<alt 1>
#<alt (+ 1 (* -1/3 (/ (* r (log (E))) s)))>
#<alt (+ 1 (+ (* -1/3 (/ (* r (log (E))) s)) (* 1/18 (/ (* (pow r 2) (pow (log (E)) 2)) (pow s 2)))))>
#<alt (+ 1 (+ (* -1/3 (/ (* r (log (E))) s)) (+ (* -1/162 (/ (* (pow r 3) (pow (log (E)) 3)) (pow s 3))) (* 1/18 (/ (* (pow r 2) (pow (log (E)) 2)) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (/ (* r (log (E))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/18 (/ (* (pow r 2) (pow (log (E)) 2)) s)) (* 1/3 (* r (log (E))))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (* (pow r 3) (pow (log (E)) 3)) s)) (* 1/18 (* (pow r 2) (pow (log (E)) 2)))) s)) (* 1/3 (* r (log (E))))) s)))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r s))>
#<alt (/ 1/8 (* r s))>
#<alt (/ 1/8 (* r s))>
#<alt (/ 1/8 (* r s))>
#<alt (/ 1/8 (* r s))>
#<alt (/ 1/8 (* r s))>
#<alt (/ 1/8 (* r s))>
#<alt (/ 1/8 (* r s))>
#<alt (/ 1/8 (* r s))>
#<alt (/ 1/8 (* r s))>
#<alt (/ 1/8 (* r s))>
#<alt (/ 1/8 (* r s))>
#<alt (/ 1/8 (* r s))>
#<alt (/ 1/8 (* r s))>
#<alt (/ 1/8 (* r s))>
#<alt (/ 1/8 (* r s))>
#<alt (/ 1/8 (* r s))>
#<alt (/ 1/8 (* r s))>
#<alt (/ 1/8 (* r s))>
#<alt (/ 1/8 (* r s))>
#<alt (/ 1/8 (* r s))>
#<alt (/ 1/8 (* r s))>
#<alt (/ 1/8 (* r s))>
#<alt (/ 1/8 (* 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 (* r s)>
#<alt (/ -1/6 (* (pow s 2) (PI)))>
#<alt (/ (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))) (pow s 2))>
#<alt (/ (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))) (pow s 2))>
#<alt (/ (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))) (pow s 2))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (/ 1/4 (* r (* 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))>
#<alt (/ (- (* 1/4 (/ s r)) 1/6) (pow s 2))>
#<alt (/ (- (* 1/4 (/ s r)) 1/6) (pow s 2))>
#<alt (/ (- (* 1/4 (/ s r)) 1/6) (pow s 2))>
#<alt (/ 1/4 (* r s))>
#<alt (/ (- (* 1/4 (/ 1 r)) (* 1/6 (/ 1 s))) s)>
#<alt (/ (- (* 1/4 (/ 1 r)) (* 1/6 (/ 1 s))) s)>
#<alt (/ (- (* 1/4 (/ 1 r)) (* 1/6 (/ 1 s))) s)>
#<alt (/ 1/4 (* r s))>
#<alt (* -1 (/ (- (* 1/6 (/ 1 s)) (* 1/4 (/ 1 r))) s))>
#<alt (* -1 (/ (- (* 1/6 (/ 1 s)) (* 1/4 (/ 1 r))) s))>
#<alt (* -1 (/ (- (* 1/6 (/ 1 s)) (* 1/4 (/ 1 r))) s))>
#<alt (/ 1/4 (* r s))>
#<alt (/ (+ (* -1/6 (/ r (pow s 2))) (* 1/4 (/ 1 s))) r)>
#<alt (/ (+ (* -1/6 (/ r (pow s 2))) (* 1/4 (/ 1 s))) r)>
#<alt (/ (+ (* -1/6 (/ r (pow s 2))) (* 1/4 (/ 1 s))) r)>
#<alt (/ -1/6 (pow s 2))>
#<alt (- (* 1/4 (/ 1 (* r s))) (* 1/6 (/ 1 (pow s 2))))>
#<alt (- (* 1/4 (/ 1 (* r s))) (* 1/6 (/ 1 (pow s 2))))>
#<alt (- (* 1/4 (/ 1 (* r s))) (* 1/6 (/ 1 (pow s 2))))>
#<alt (/ -1/6 (pow s 2))>
#<alt (- (* 1/4 (/ 1 (* r s))) (* 1/6 (/ 1 (pow s 2))))>
#<alt (- (* 1/4 (/ 1 (* r s))) (* 1/6 (/ 1 (pow s 2))))>
#<alt (- (* 1/4 (/ 1 (* r s))) (* 1/6 (/ 1 (pow s 2))))>
#<alt (* -1/6 (/ r (pow s 2)))>
#<alt (/ (+ (* -1/6 r) (* 1/4 s)) (pow s 2))>
#<alt (/ (+ (* -1/6 r) (* 1/4 s)) (pow s 2))>
#<alt (/ (+ (* -1/6 r) (* 1/4 s)) (pow s 2))>
#<alt (/ 1/4 s)>
#<alt (/ (+ 1/4 (* -1/6 (/ r s))) s)>
#<alt (/ (+ 1/4 (* -1/6 (/ r s))) s)>
#<alt (/ (+ 1/4 (* -1/6 (/ r s))) s)>
#<alt (/ 1/4 s)>
#<alt (* -1 (/ (- (* 1/6 (/ r s)) 1/4) s))>
#<alt (* -1 (/ (- (* 1/6 (/ r s)) 1/4) s))>
#<alt (* -1 (/ (- (* 1/6 (/ r s)) 1/4) s))>
#<alt (/ 1/4 s)>
#<alt (+ (* -1/6 (/ r (pow s 2))) (* 1/4 (/ 1 s)))>
#<alt (+ (* -1/6 (/ r (pow s 2))) (* 1/4 (/ 1 s)))>
#<alt (+ (* -1/6 (/ r (pow s 2))) (* 1/4 (/ 1 s)))>
#<alt (* -1/6 (/ r (pow s 2)))>
#<alt (* r (- (* 1/4 (/ 1 (* r s))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* r (- (* 1/4 (/ 1 (* r s))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* r (- (* 1/4 (/ 1 (* r s))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ r (pow s 2)))>
#<alt (* -1 (* r (- (* 1/6 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* r s))))))>
#<alt (* -1 (* r (- (* 1/6 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* r s))))))>
#<alt (* -1 (* r (- (* 1/6 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* r s))))))>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 s)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* r (+ (* -1/48 (/ 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 (* -1/48 (/ (pow r 2) (* (pow s 4) (PI))))>
#<alt (* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/48 (/ 1 (* (pow s 4) (PI))))))>
#<alt (* (pow r 2) (- (/ 5/72 (* r (* (pow s 3) (PI)))) (+ (/ 1/6 (* (pow r 2) (* (pow s 2) (PI)))) (* 1/48 (/ 1 (* (pow s 4) (PI)))))))>
#<alt (* (pow r 2) (- (+ (/ 5/72 (* r (* (pow s 3) (PI)))) (* 1/4 (/ 1 (* (pow r 3) (* s (PI)))))) (+ (* 1/6 (/ 1 (* (pow r 2) (* (pow s 2) (PI))))) (* 1/48 (/ 1 (* (pow s 4) (PI)))))))>
#<alt (* -1/48 (/ (pow r 2) (* (pow s 4) (PI))))>
#<alt (* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/48 (/ 1 (* (pow s 4) (PI))))))>
#<alt (* (pow r 2) (- (* -1 (/ (- (* 1/6 (/ 1 (* r (* (pow s 2) (PI))))) (* 5/72 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/48 (/ 1 (* (pow s 4) (PI))))))>
#<alt (* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI))))) r)) (* 5/72 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/48 (/ 1 (* (pow s 4) (PI))))))>
#<alt (* -1/48 (/ (pow r 2) (* (pow s 4) (PI))))>
#<alt (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* 5/72 (/ (* r s) (PI)))) (pow s 4))>
#<alt (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* s (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))))) (pow s 4))>
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#<alt (* -5/72 r)>
#<alt (/ (pow r 2) s)>
#<alt (/ (pow r 2) s)>
#<alt (/ (pow r 2) s)>
#<alt (/ (pow r 2) s)>
#<alt (/ (pow r 2) s)>
#<alt (/ (pow r 2) s)>
#<alt (/ (pow r 2) s)>
#<alt (/ (pow r 2) s)>
#<alt (/ (pow r 2) s)>
#<alt (/ (pow r 2) s)>
#<alt (/ (pow r 2) s)>
#<alt (/ (pow r 2) s)>
#<alt (/ (pow r 2) s)>
#<alt (/ (pow r 2) s)>
#<alt (/ (pow r 2) s)>
#<alt (/ (pow r 2) s)>
#<alt (/ (pow r 2) s)>
#<alt (/ (pow r 2) s)>
#<alt (/ (pow r 2) s)>
#<alt (/ (pow r 2) s)>
#<alt (/ (pow r 2) s)>
#<alt (/ (pow r 2) s)>
#<alt (/ (pow r 2) s)>
#<alt (/ (pow r 2) s)>
#<alt (* 1/4 (/ s r))>
#<alt (/ (+ (* -1/8 r) (* 1/4 s)) r)>
#<alt (/ (+ (* 1/4 s) (* r (- (* 1/16 (/ r s)) 1/8))) r)>
#<alt (/ (+ (* 1/4 s) (* r (- (* r (+ (* -1/48 (/ r (pow s 2))) (* 1/16 (/ 1 s)))) 1/8))) r)>
#<alt (* 1/8 (/ (* s (+ 1 (exp (neg (/ r s))))) r))>
#<alt (* 1/8 (/ (* s (+ 1 (exp (neg (/ r s))))) r))>
#<alt (* 1/8 (/ (* s (+ 1 (exp (neg (/ r s))))) r))>
#<alt (* 1/8 (/ (* s (+ 1 (exp (neg (/ r s))))) r))>
#<alt (* -1/8 (/ (* s (- (* -1 (exp (* -1 (/ r s)))) 1)) r))>
#<alt (* -1/8 (/ (* s (- (* -1 (exp (* -1 (/ r s)))) 1)) r))>
#<alt (* -1/8 (/ (* s (- (* -1 (exp (* -1 (/ r s)))) 1)) r))>
#<alt (* -1/8 (/ (* s (- (* -1 (exp (* -1 (/ r s)))) 1)) r))>
#<alt (* 1/8 (* s (+ (/ 1 r) (/ (exp (neg (/ r s))) r))))>
#<alt (* 1/8 (* s (+ (/ 1 r) (/ (exp (neg (/ r s))) r))))>
#<alt (* 1/8 (* s (+ (/ 1 r) (/ (exp (neg (/ r s))) r))))>
#<alt (* 1/8 (* s (+ (/ 1 r) (/ (exp (neg (/ r s))) r))))>
#<alt (* 1/4 (/ s r))>
#<alt (* s (- (* 1/4 (/ 1 r)) (* 1/8 (/ 1 s))))>
#<alt (* s (- (+ (* 1/16 (/ r (pow s 2))) (* 1/4 (/ 1 r))) (* 1/8 (/ 1 s))))>
#<alt (* s (- (+ (* -1/48 (/ (pow r 2) (pow s 3))) (+ (* 1/16 (/ r (pow s 2))) (* 1/4 (/ 1 r)))) (* 1/8 (/ 1 s))))>
#<alt (* 1/4 (/ s r))>
#<alt (* -1 (* s (- (* 1/8 (/ 1 s)) (* 1/4 (/ 1 r)))))>
#<alt (* -1 (* s (- (* -1 (/ (- (* 1/16 (/ r s)) 1/8) s)) (* 1/4 (/ 1 r)))))>
#<alt (* -1 (* s (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 r) (* 1/48 (/ (pow r 2) s))) s)) 1/8) s)) (* 1/4 (/ 1 r)))))>

Calls

132 calls:

Time	Variable		Point	Expression
7.0ms	s	@	0	(/ (/ 1/8 (* s r)) (PI))
4.0ms	s	@	0	(/ (/ (+ (* r 1/144) (* s (+ -1/24 (* (+ (/ 1 r) (/ (exp (- 0 (/ r s))) r)) (* s 1/8))))) (* s (* s s))) (PI))
1.0ms	s	@	0	(/ (/ (+ (/ 1/4 s) (* r (/ -1/6 (* s s)))) r) (PI))
1.0ms	r	@	inf	(/ (/ (+ (* r 1/144) (* s (+ -1/24 (* (+ (/ 1 r) (/ (exp (- 0 (/ r s))) r)) (* s 1/8))))) (* s (* s s))) (PI))
1.0ms	r	@	inf	(/ (/ (+ (/ 1/4 s) (* r (/ -1/6 (* s s)))) r) (PI))

rewrite458.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3108×	`fma-lowering-fma.f32`
3108×	`fma-lowering-fma.f64`
2872×	`-lowering-.f32`
2872×	`-lowering-.f64`
2214×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	284
1	387	276
2	3845	274
0	8446	274

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 620

Calls

Call 1

Inputs
(neg s)
(pow (E) (/ r (* s -3)))
(E)
(/ r (* s -3))
(/ (/ 1/8 (* s r)) (PI))
(/ 1/8 (* s r))
(* s r)
(PI)
(/ (/ (+ (/ 1/4 s) (* r (/ -1/6 (* s s)))) r) (PI))
(/ (+ (/ 1/4 s) (* r (/ -1/6 (* s s)))) r)
(+ (/ 1/4 s) (* r (/ -1/6 (* s s))))
(/ 1/4 s)
(/ (neg (/ (- (/ -1/4 r) (/ (- -1/6 (/ (+ (* r -5/72) (* (/ (* r r) s) 1/48)) s)) s)) s)) (PI))
(neg (/ (- (/ -1/4 r) (/ (- -1/6 (/ (+ (* r -5/72) (* (/ (* r r) s) 1/48)) s)) s)) s))
(/ (- (/ -1/4 r) (/ (- -1/6 (/ (+ (* r -5/72) (* (/ (* r r) s) 1/48)) s)) s)) s)
(- (/ -1/4 r) (/ (- -1/6 (/ (+ (* r -5/72) (* (/ (* r r) s) 1/48)) s)) s))
(/ (/ (+ (* r 1/144) (* s (+ -1/24 (* (+ (/ 1 r) (/ (exp (- 0 (/ r s))) r)) (* s 1/8))))) (* s (* s s))) (PI))
(/ (+ (* r 1/144) (* s (+ -1/24 (* (+ (/ 1 r) (/ (exp (- 0 (/ r s))) r)) (* s 1/8))))) (* s (* s s)))
(+ (* r 1/144) (* s (+ -1/24 (* (+ (/ 1 r) (/ (exp (- 0 (/ r s))) r)) (* s 1/8)))))
(* s (+ -1/24 (* (+ (/ 1 r) (/ (exp (- 0 (/ r s))) r)) (* s 1/8))))
(/ -1/6 (* s s))
(* r (/ -1/6 (* s s)))
(* (/ (* r r) s) 1/48)
(* r -5/72)
(/ (* r r) s)
(* (+ (/ 1 r) (/ (exp (- 0 (/ r s))) r)) (* s 1/8))

Outputs
(neg.f32 s)
(+.f32 #s(literal 0 binary32) (neg.f32 s))
(-.f32 #s(literal 0 binary32) s)
(/.f32 (neg.f32 (.f32 s (.f32 s s))) (+.f32 #s(literal 0 binary32) (+.f32 (.f32 s s) (.f32 #s(literal 0 binary32) s))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s))
(*.f32 s #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) s)
(exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))
(exp.f32 (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 r s) #s(literal -6 binary32)) (/.f32 (/.f32 r s) #s(literal -6 binary32)))))
(exp.f32 (.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (/.f32 (/.f32 r s) #s(literal -6 binary32)))))
(exp.f32 (.f32 (log.f32 (.f32 (E.f32) (E.f32))) (/.f32 (/.f32 r s) #s(literal -6 binary32))))
(exp.f32 (.f32 (log.f32 (exp.f32 (.f32 #s(literal 1 binary32) (/.f32 (/.f32 r s) #s(literal -6 binary32))))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 r)) (/.f32 #s(literal -1/3 binary32) s)))
(pow.f32 (E.f32) (/.f32 (/.f32 r s) #s(literal -3 binary32)))
(pow.f32 (E.f32) (+.f32 (/.f32 (/.f32 r s) #s(literal -6 binary32)) (/.f32 (/.f32 r s) #s(literal -6 binary32))))
(pow.f32 (E.f32) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 r s) #s(literal -6 binary32))))
(pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 (/.f32 r s) #s(literal -6 binary32)))
(pow.f32 (exp.f32 (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 r s) #s(literal -6 binary32)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s))
(.f32 (exp.f32 (.f32 #s(literal 1 binary32) (/.f32 (/.f32 r s) #s(literal -6 binary32)))) (exp.f32 (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 r s) #s(literal -6 binary32)))))
(*.f32 (pow.f32 #s(literal 1 binary32) (/.f32 (/.f32 r s) #s(literal -3 binary32))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))))
(.f32 (exp.f32 (.f32 #s(literal 2/3 binary32) (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 (/.f32 r s) #s(literal -3 binary32)))))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 r s) #s(literal -3 binary32)))))
(E.f32)
(log1p.f32 (expm1.f32 (E.f32)))
(exp.f32 #s(literal 1 binary32))
(exp.f32 (.f32 (log.f32 (.f32 (E.f32) (*.f32 (E.f32) (E.f32)))) #s(literal 1/3 binary32)))
(pow.f32 (E.f32) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 3 binary32))
(pow.f32 (.f32 (E.f32) (.f32 (E.f32) (E.f32))) #s(literal 1/3 binary32))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))
(-.f32 (exp.f32 (log1p.f32 (E.f32))) #s(literal 1 binary32))
(sqrt.f32 (*.f32 (E.f32) (E.f32)))
(cbrt.f32 (.f32 (E.f32) (.f32 (E.f32) (E.f32))))
(*.f32 (E.f32) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (E.f32))
(*.f32 (exp.f32 #s(literal 1/3 binary32)) (exp.f32 #s(literal 2/3 binary32)))
(*.f32 (exp.f32 #s(literal 1/3 binary32)) (log.f32 (exp.f32 (exp.f32 #s(literal 2/3 binary32)))))
(*.f32 (exp.f32 #s(literal 2/3 binary32)) (exp.f32 #s(literal 1/3 binary32)))
(*.f32 (exp.f32 #s(literal 1/2 binary32)) (exp.f32 #s(literal 1/2 binary32)))
(*.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (exp.f32 (exp.f32 #s(literal 1/2 binary32)))))
(.f32 (.f32 #s(literal 1 binary32) (exp.f32 #s(literal 2/3 binary32))) (exp.f32 #s(literal 1/3 binary32)))
(log.f32 (exp.f32 (E.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (E.f32))))
(expm1.f32 (log1p.f32 (E.f32)))
(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 #s(literal -3 binary32) (/.f32 s r))) #s(literal -1 binary32)))
(pow.f32 (*.f32 #s(literal -3 binary32) (/.f32 s r)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 #s(literal -3 binary32) (/.f32 s r)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal -3 binary32) (/.f32 r s)) #s(literal -1 binary32))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal -3 binary32) (/.f32 s r)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -3 binary32) (/.f32 s r)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -3 binary32) (/.f32 r s)))
(/.f32 (/.f32 r s) #s(literal -3 binary32))
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 3 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(literal -3 binary32) (/.f32 s r))))
(/.f32 (neg.f32 r) (*.f32 s #s(literal 3 binary32)))
(/.f32 (.f32 #s(literal 1 binary32) (neg.f32 r)) (.f32 s #s(literal 3 binary32)))
(/.f32 (neg.f32 (neg.f32 r)) (neg.f32 (*.f32 s #s(literal 3 binary32))))
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(*.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 r s) #s(literal -3 binary32)))
(*.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 (/.f32 #s(literal -1/3 binary32) s) r)
(neg.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) (neg.f32 (PI.f32))))
(neg.f32 (/.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s r)) (PI.f32)))
(exp.f32 (.f32 (log.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) (.f32 s r)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) (*.f32 s r))) #s(literal -1 binary32))
(pow.f32 (.f32 (/.f32 (.f32 s r) #s(literal 1/8 binary32)) (PI.f32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 (.f32 s r) (PI.f32)) #s(literal 1/8 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) (*.f32 s r))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1/8 binary32) (.f32 (.f32 s r) (PI.f32)))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) (PI.f32))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) (*.f32 s r))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 s r) #s(literal 1/8 binary32)) (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 s r) (PI.f32)) #s(literal 1/8 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) (*.f32 s r))) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) (*.f32 s r)))))
(/.f32 #s(literal -1/8 binary32) (.f32 (-.f32 #s(literal 0 binary32) (.f32 s r)) (PI.f32)))
(/.f32 #s(literal -1/8 binary32) (neg.f32 (.f32 (.f32 s r) (PI.f32))))
(/.f32 #s(literal -1/8 binary32) (.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (.f32 s r))))
(/.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s r)) (neg.f32 (PI.f32)))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 s r) #s(literal 1/8 binary32)))
(/.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) s) #s(literal 1 binary32)) (.f32 r (PI.f32)))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s r)) #s(literal 1 binary32)) (PI.f32))
(/.f32 (.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 s r))
(/.f32 (.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 0 binary32) (.f32 s r)))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32))) r)
(/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 s r))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) #s(literal 1 binary32)) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s r)) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 s r)) (PI.f32)))
(.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 s r) (PI.f32))))
(.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (*.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (*.f32 s r) (PI.f32))))
(.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s r)) (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (.f32 s r)))
(.f32 (/.f32 #s(literal 1/8 binary32) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s r)) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 s r)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(neg.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s r)))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 s r) #s(literal 1/8 binary32))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 s r) #s(literal 1/8 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 s r) #s(literal 1/8 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 r (/.f32 #s(literal 1/8 binary32) s)) #s(literal -1 binary32))
(/.f32 #s(literal 1/8 binary32) (*.f32 s r))
(/.f32 #s(literal 1/8 binary32) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 s r))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s r) #s(literal 1/8 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 s r) #s(literal 1/8 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/8 binary32) s)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s r) #s(literal 1/8 binary32))))
(/.f32 #s(literal -1/8 binary32) (-.f32 #s(literal 0 binary32) (*.f32 s r)))
(/.f32 (/.f32 #s(literal 1/8 binary32) s) r)
(/.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) s)) (neg.f32 r))
(/.f32 (/.f32 #s(literal 1/8 binary32) r) s)
(.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (.f32 s r)))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 s r)))
(.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (.f32 s r))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 s r)) #s(literal 1/8 binary32))
(*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 #s(literal 1 binary32) r))
(*.f32 s r)
(*.f32 r s)
(PI.f32)
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))) #s(literal 3 binary32)))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) #s(literal 2 binary32)))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))
(pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(-.f32 (exp.f32 (log1p.f32 (PI.f32))) #s(literal 1 binary32))
(sqrt.f32 (*.f32 (PI.f32) (PI.f32)))
(cbrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (PI.f32))
(.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (log.f32 (exp.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))))))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))
(.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(log.f32 (exp.f32 (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (PI.f32))))
(expm1.f32 (log1p.f32 (PI.f32)))
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(+.f32 (.f32 (/.f32 #s(literal 1 binary32) r) (.f32 s #s(literal 1/8 binary32))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) r) (exp.f32 (/.f32 r s))) (.f32 s #s(literal 1/8 binary32))))
(+.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) r) (exp.f32 (/.f32 r s))) (.f32 s #s(literal 1/8 binary32))) (.f32 (/.f32 #s(literal 1 binary32) r) (.f32 s #s(literal 1/8 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) r) (.f32 s #s(literal 1/8 binary32)) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) r) (exp.f32 (/.f32 r s))) (*.f32 s #s(literal 1/8 binary32))))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) r) (exp.f32 (/.f32 r s))) (.f32 s #s(literal 1/8 binary32)) (.f32 (/.f32 #s(literal 1 binary32) r) (*.f32 s #s(literal 1/8 binary32))))
(fma.f32 (.f32 s #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) r) (.f32 (*.f32 s #s(literal 1/8 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) r) (exp.f32 (/.f32 r s)))))
(fma.f32 (.f32 s #s(literal 1/8 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) r) (exp.f32 (/.f32 r s))) (.f32 (*.f32 s #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) r)))
(/.f32 (.f32 (.f32 s #s(literal 1/8 binary32)) (+.f32 r (/.f32 r (exp.f32 (/.f32 r s))))) (*.f32 r r))
(/.f32 (.f32 (.f32 s #s(literal 1/8 binary32)) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1 binary32) (.f32 r r))) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) r) (exp.f32 (/.f32 r s))) #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 r r)) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) r) (exp.f32 (/.f32 r s))) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) r) (exp.f32 (/.f32 r s))) (/.f32 #s(literal 1 binary32) r)))))
(/.f32 (.f32 (.f32 s #s(literal 1/8 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 r r)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) r) (exp.f32 (/.f32 r s))) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))) r))
(/.f32 (.f32 (+.f32 r (/.f32 r (exp.f32 (/.f32 r s)))) (.f32 s #s(literal 1/8 binary32))) (*.f32 r r))
(/.f32 (.f32 (+.f32 (.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1 binary32) (.f32 r r))) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) r) (exp.f32 (/.f32 r s))) #s(literal 3 binary32))) (.f32 s #s(literal 1/8 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 r r)) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) r) (exp.f32 (/.f32 r s))) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) r) (exp.f32 (/.f32 r s))) (/.f32 #s(literal 1 binary32) r)))))
(/.f32 (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 r r)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) r) (exp.f32 (/.f32 r s))) #s(literal 2 binary32))) (*.f32 s #s(literal 1/8 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))) r))
(.f32 s (.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))))
(.f32 #s(literal 1/8 binary32) (.f32 s (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 s #s(literal 1/8 binary32)))
(.f32 (.f32 s #s(literal 1/8 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))))
(.f32 (.f32 s (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) #s(literal 1/8 binary32))
(.f32 (.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) #s(literal 1/8 binary32)) s)

simplify423.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

4550×	`-lowering-.f32`
4550×	`-lowering-.f64`
2440×	`+-lowering-+.f64`
2440×	`+-lowering-+.f32`
2006×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	777	5743
1	2680	5312
2	7933	5306
0	8185	5306

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

Inputs
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
1
(+ 1 (* -1/3 (/ (* r (log (E))) s)))
(+ 1 (* r (+ (* -1/3 (/ (log (E)) s)) (* 1/18 (/ (* r (pow (log (E)) 2)) (pow s 2))))))
(+ 1 (* r (+ (* -1/3 (/ (log (E)) s)) (* r (+ (* -1/162 (/ (* r (pow (log (E)) 3)) (pow s 3))) (* 1/18 (/ (pow (log (E)) 2) (pow s 2))))))))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
1
(+ 1 (* -1/3 (/ (* r (log (E))) s)))
(+ 1 (+ (* -1/3 (/ (* r (log (E))) s)) (* 1/18 (/ (* (pow r 2) (pow (log (E)) 2)) (pow s 2)))))
(+ 1 (+ (* -1/3 (/ (* r (log (E))) s)) (+ (* -1/162 (/ (* (pow r 3) (pow (log (E)) 3)) (pow s 3))) (* 1/18 (/ (* (pow r 2) (pow (log (E)) 2)) (pow s 2))))))
1
(+ 1 (* -1/3 (/ (* r (log (E))) s)))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (* (pow r 2) (pow (log (E)) 2)) s)) (* 1/3 (* r (log (E))))) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (* (pow r 3) (pow (log (E)) 3)) s)) (* 1/18 (* (pow r 2) (pow (log (E)) 2)))) s)) (* 1/3 (* r (log (E))))) s)))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* r s))
(/ 1/8 (* 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)
(/ -1/6 (* (pow s 2) (PI)))
(/ (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))) (pow s 2))
(/ (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))) (pow s 2))
(/ (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))) (pow s 2))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ -1/6 (* (pow s 2) (PI)))
(- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))
(- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))
(- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))
(/ -1/6 (* (pow s 2) (PI)))
(- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))
(- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))
(- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))
(/ -1/6 (pow s 2))
(/ (- (* 1/4 (/ s r)) 1/6) (pow s 2))
(/ (- (* 1/4 (/ s r)) 1/6) (pow s 2))
(/ (- (* 1/4 (/ s r)) 1/6) (pow s 2))
(/ 1/4 (* r s))
(/ (- (* 1/4 (/ 1 r)) (* 1/6 (/ 1 s))) s)
(/ (- (* 1/4 (/ 1 r)) (* 1/6 (/ 1 s))) s)
(/ (- (* 1/4 (/ 1 r)) (* 1/6 (/ 1 s))) s)
(/ 1/4 (* r s))
(* -1 (/ (- (* 1/6 (/ 1 s)) (* 1/4 (/ 1 r))) s))
(* -1 (/ (- (* 1/6 (/ 1 s)) (* 1/4 (/ 1 r))) s))
(* -1 (/ (- (* 1/6 (/ 1 s)) (* 1/4 (/ 1 r))) s))
(/ 1/4 (* r s))
(/ (+ (* -1/6 (/ r (pow s 2))) (* 1/4 (/ 1 s))) r)
(/ (+ (* -1/6 (/ r (pow s 2))) (* 1/4 (/ 1 s))) r)
(/ (+ (* -1/6 (/ r (pow s 2))) (* 1/4 (/ 1 s))) r)
(/ -1/6 (pow s 2))
(- (* 1/4 (/ 1 (* r s))) (* 1/6 (/ 1 (pow s 2))))
(- (* 1/4 (/ 1 (* r s))) (* 1/6 (/ 1 (pow s 2))))
(- (* 1/4 (/ 1 (* r s))) (* 1/6 (/ 1 (pow s 2))))
(/ -1/6 (pow s 2))
(- (* 1/4 (/ 1 (* r s))) (* 1/6 (/ 1 (pow s 2))))
(- (* 1/4 (/ 1 (* r s))) (* 1/6 (/ 1 (pow s 2))))
(- (* 1/4 (/ 1 (* r s))) (* 1/6 (/ 1 (pow s 2))))
(* -1/6 (/ r (pow s 2)))
(/ (+ (* -1/6 r) (* 1/4 s)) (pow s 2))
(/ (+ (* -1/6 r) (* 1/4 s)) (pow s 2))
(/ (+ (* -1/6 r) (* 1/4 s)) (pow s 2))
(/ 1/4 s)
(/ (+ 1/4 (* -1/6 (/ r s))) s)
(/ (+ 1/4 (* -1/6 (/ r s))) s)
(/ (+ 1/4 (* -1/6 (/ r s))) s)
(/ 1/4 s)
(* -1 (/ (- (* 1/6 (/ r s)) 1/4) s))
(* -1 (/ (- (* 1/6 (/ r s)) 1/4) s))
(* -1 (/ (- (* 1/6 (/ r s)) 1/4) s))
(/ 1/4 s)
(+ (* -1/6 (/ r (pow s 2))) (* 1/4 (/ 1 s)))
(+ (* -1/6 (/ r (pow s 2))) (* 1/4 (/ 1 s)))
(+ (* -1/6 (/ r (pow s 2))) (* 1/4 (/ 1 s)))
(* -1/6 (/ r (pow s 2)))
(* r (- (* 1/4 (/ 1 (* r s))) (* 1/6 (/ 1 (pow s 2)))))
(* r (- (* 1/4 (/ 1 (* r s))) (* 1/6 (/ 1 (pow s 2)))))
(* r (- (* 1/4 (/ 1 (* r s))) (* 1/6 (/ 1 (pow s 2)))))
(* -1/6 (/ r (pow s 2)))
(* -1 (* r (- (* 1/6 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* r s))))))
(* -1 (* r (- (* 1/6 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* r s))))))
(* -1 (* r (- (* 1/6 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* r s))))))
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 s)
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -1/48 (/ 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)
(* -1/48 (/ (pow r 2) (* (pow s 4) (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/48 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (/ 5/72 (* r (* (pow s 3) (PI)))) (+ (/ 1/6 (* (pow r 2) (* (pow s 2) (PI)))) (* 1/48 (/ 1 (* (pow s 4) (PI)))))))
(* (pow r 2) (- (+ (/ 5/72 (* r (* (pow s 3) (PI)))) (* 1/4 (/ 1 (* (pow r 3) (* s (PI)))))) (+ (* 1/6 (/ 1 (* (pow r 2) (* (pow s 2) (PI))))) (* 1/48 (/ 1 (* (pow s 4) (PI)))))))
(* -1/48 (/ (pow r 2) (* (pow s 4) (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/48 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* 1/6 (/ 1 (* r (* (pow s 2) (PI))))) (* 5/72 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/48 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI))))) r)) (* 5/72 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/48 (/ 1 (* (pow s 4) (PI))))))
(* -1/48 (/ (pow r 2) (* (pow s 4) (PI))))
(/ (+ (* -1/48 (/ (pow r 2) (PI))) (* 5/72 (/ (* r s) (PI)))) (pow s 4))
(/ (+ (* -1/48 (/ (pow r 2) (PI))) (* s (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))))) (pow s 4))
(/ (+ (* -1/48 (/ (pow r 2) (PI))) (* s (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))))) (pow s 4))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -5/72 (/ r (PI))) (* 1/48 (/ (pow r 2) (* s (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r s))
(/ (+ (* -1/6 (/ r (pow s 2))) (* 1/4 (/ 1 s))) r)
(/ (+ (* r (- (* 5/72 (/ r (pow s 3))) (* 1/6 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s))) r)
(/ (+ (* r (- (* r (+ (* -1/48 (/ r (pow s 4))) (* 5/72 (/ 1 (pow s 3))))) (* 1/6 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s))) r)
(* -1/48 (/ (pow r 2) (pow s 4)))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (pow s 3)))) (* 1/48 (/ 1 (pow s 4)))))
(* (pow r 2) (- (/ 5/72 (* r (pow s 3))) (+ (* 1/48 (/ 1 (pow s 4))) (/ 1/6 (* (pow r 2) (pow s 2))))))
(* (pow r 2) (- (+ (/ 5/72 (* r (pow s 3))) (* 1/4 (/ 1 (* (pow r 3) s)))) (+ (* 1/48 (/ 1 (pow s 4))) (* 1/6 (/ 1 (* (pow r 2) (pow s 2)))))))
(* -1/48 (/ (pow r 2) (pow s 4)))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (pow s 3)))) (* 1/48 (/ 1 (pow s 4)))))
(* (pow r 2) (- (* -1 (/ (- (* 1/6 (/ 1 (* r (pow s 2)))) (* 5/72 (/ 1 (pow s 3)))) r)) (* 1/48 (/ 1 (pow s 4)))))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* r s))) (* 1/6 (/ 1 (pow s 2)))) r)) (* 5/72 (/ 1 (pow s 3)))) r)) (* 1/48 (/ 1 (pow s 4)))))
(* -1/48 (/ (pow r 2) (pow s 4)))
(/ (- (* 5/72 (* r s)) (* 1/48 (pow r 2))) (pow s 4))
(/ (- (* s (- (* -1/6 s) (* -5/72 r))) (* 1/48 (pow r 2))) (pow s 4))
(/ (- (* s (- (* s (- (* 1/4 (/ s r)) 1/6)) (* -5/72 r))) (* 1/48 (pow r 2))) (pow s 4))
(/ 1/4 (* r s))
(/ (- (* 1/4 (/ 1 r)) (* 1/6 (/ 1 s))) s)
(/ (- (+ (* 5/72 (/ r (pow s 2))) (* 1/4 (/ 1 r))) (* 1/6 (/ 1 s))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (pow s 3))) (* 1/4 (/ 1 r))) (+ (* -5/72 (/ r (pow s 2))) (* 1/6 (/ 1 s)))) s)
(/ 1/4 (* r s))
(* -1 (/ (- (* 1/6 (/ 1 s)) (* 1/4 (/ 1 r))) s))
(* -1 (/ (- (* -1 (/ (- (* 5/72 (/ r s)) 1/6) s)) (* 1/4 (/ 1 r))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/48 (/ (pow r 2) s)) (* 5/72 r)) s)) 1/6) s)) (* 1/4 (/ 1 r))) s))
(/ -1/4 (* r s))
(/ (- (* 1/6 (/ r (pow s 2))) (* 1/4 (/ 1 s))) r)
(/ (- (* r (+ (* -5/72 (/ r (pow s 3))) (* 1/6 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s))) r)
(/ (- (* r (+ (* r (- (* 1/48 (/ r (pow s 4))) (* 5/72 (/ 1 (pow s 3))))) (* 1/6 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s))) r)
(* 1/48 (/ (pow r 2) (pow s 4)))
(* (pow r 2) (- (* 1/48 (/ 1 (pow s 4))) (* 5/72 (/ 1 (* r (pow s 3))))))
(* (pow r 2) (- (+ (/ 1/6 (* (pow r 2) (pow s 2))) (* 1/48 (/ 1 (pow s 4)))) (/ 5/72 (* r (pow s 3)))))
(* (pow r 2) (- (+ (* 1/6 (/ 1 (* (pow r 2) (pow s 2)))) (* 1/48 (/ 1 (pow s 4)))) (+ (/ 5/72 (* r (pow s 3))) (* 1/4 (/ 1 (* (pow r 3) s))))))
(* 1/48 (/ (pow r 2) (pow s 4)))
(* (pow r 2) (- (* 1/48 (/ 1 (pow s 4))) (* 5/72 (/ 1 (* r (pow s 3))))))
(* (pow r 2) (+ (* -1 (/ (- (* 5/72 (/ 1 (pow s 3))) (* 1/6 (/ 1 (* r (pow s 2))))) r)) (* 1/48 (/ 1 (pow s 4)))))
(* (pow r 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/6 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* r s)))) r)) (* 5/72 (/ 1 (pow s 3)))) r)) (* 1/48 (/ 1 (pow s 4)))))
(* 1/48 (/ (pow r 2) (pow s 4)))
(/ (+ (* -5/72 (* r s)) (* 1/48 (pow r 2))) (pow s 4))
(/ (+ (* 1/48 (pow r 2)) (* s (+ (* -5/72 r) (* 1/6 s)))) (pow s 4))
(/ (+ (* 1/48 (pow r 2)) (* s (+ (* -5/72 r) (* s (+ 1/6 (* -1/4 (/ s r))))))) (pow s 4))
(/ -1/4 (* r s))
(/ (- (* 1/6 (/ 1 s)) (* 1/4 (/ 1 r))) s)
(/ (- (+ (* -5/72 (/ r (pow s 2))) (* 1/6 (/ 1 s))) (* 1/4 (/ 1 r))) s)
(/ (- (+ (* -5/72 (/ r (pow s 2))) (+ (* 1/48 (/ (pow r 2) (pow s 3))) (* 1/6 (/ 1 s)))) (* 1/4 (/ 1 r))) s)
(/ -1/4 (* r s))
(* -1 (/ (- (* 1/4 (/ 1 r)) (* 1/6 (/ 1 s))) s))
(* -1 (/ (+ (* -1 (/ (+ 1/6 (* -5/72 (/ r s))) s)) (* 1/4 (/ 1 r))) s))
(* -1 (/ (+ (* -1 (/ (+ 1/6 (* -1 (/ (+ (* -1/48 (/ (pow r 2) s)) (* 5/72 r)) s))) s)) (* 1/4 (/ 1 r))) s))
(/ -1/4 r)
(/ (- (* 1/6 (/ r s)) 1/4) r)
(/ (- (* r (+ (* -5/72 (/ r (pow s 2))) (* 1/6 (/ 1 s)))) 1/4) r)
(/ (- (* r (+ (* r (- (* 1/48 (/ r (pow s 3))) (* 5/72 (/ 1 (pow s 2))))) (* 1/6 (/ 1 s)))) 1/4) r)
(* 1/48 (/ (pow r 2) (pow s 3)))
(* (pow r 2) (- (* 1/48 (/ 1 (pow s 3))) (* 5/72 (/ 1 (* r (pow s 2))))))
(* (pow r 2) (- (+ (/ 1/6 (* (pow r 2) s)) (* 1/48 (/ 1 (pow s 3)))) (/ 5/72 (* r (pow s 2)))))
(* (pow r 2) (- (+ (* 1/6 (/ 1 (* (pow r 2) s))) (* 1/48 (/ 1 (pow s 3)))) (+ (/ 5/72 (* r (pow s 2))) (* 1/4 (/ 1 (pow r 3))))))
(* 1/48 (/ (pow r 2) (pow s 3)))
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(* (pow r 2) (+ (* -1 (/ (- (* 5/72 (/ 1 (pow s 2))) (* 1/6 (/ 1 (* r s)))) r)) (* 1/48 (/ 1 (pow s 3)))))
(* (pow r 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/6 (/ 1 s)) (* 1/4 (/ 1 r))) r)) (* 5/72 (/ 1 (pow s 2)))) r)) (* 1/48 (/ 1 (pow s 3)))))
(* 1/48 (/ (pow r 2) (pow s 3)))
(/ (- (* -5/72 (* r s)) (* -1/48 (pow r 2))) (pow s 3))
(/ (- (* s (- (* 1/6 s) (* 5/72 r))) (* -1/48 (pow r 2))) (pow s 3))
(/ (- (* s (- (* s (+ 1/6 (* -1/4 (/ s r)))) (* 5/72 r))) (* -1/48 (pow r 2))) (pow s 3))
(/ -1/4 r)
(- (* 1/6 (/ 1 s)) (* 1/4 (/ 1 r)))
(- (+ (* -5/72 (/ r (pow s 2))) (* 1/6 (/ 1 s))) (* 1/4 (/ 1 r)))
(- (+ (* 1/48 (/ (pow r 2) (pow s 3))) (* 1/6 (/ 1 s))) (+ (* 5/72 (/ r (pow s 2))) (* 1/4 (/ 1 r))))
(/ -1/4 r)
(- (* 1/6 (/ 1 s)) (* 1/4 (/ 1 r)))
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(- (* -1 (/ (- (* -1 (/ (- (* 1/48 (/ (pow r 2) s)) (* 5/72 r)) s)) 1/6) s)) (* 1/4 (/ 1 r)))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -1/48 (/ 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)
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(* 1/144 (/ r (* (pow s 3) (PI))))
(* -1 (* r (- (* 1/24 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/144 (/ 1 (* (pow s 3) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* -1/8 (/ (- (* -1 (exp (* -1 (/ r s)))) 1) (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/144 (/ 1 (* (pow s 3) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* -1/8 (/ (- (* -1 (exp (* -1 (/ r s)))) 1) (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/144 (/ 1 (* (pow s 3) (PI)))))))
(* 1/144 (/ r (* (pow s 3) (PI))))
(/ (+ (* -1/24 (/ s (PI))) (* 1/144 (/ r (PI)))) (pow s 3))
(/ (+ (* 1/144 (/ r (PI))) (* s (- (* 1/8 (/ (* s (+ (/ 1 r) (/ (exp (neg (/ r s))) r))) (PI))) (* 1/24 (/ 1 (PI)))))) (pow s 3))
(/ (+ (* 1/144 (/ r (PI))) (* s (- (* 1/8 (/ (* s (+ (/ 1 r) (/ (exp (neg (/ r s))) r))) (PI))) (* 1/24 (/ 1 (PI)))))) (pow s 3))
(/ 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)))) (+ (* 1/144 (/ 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))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (+ (* 1/144 (/ r (PI))) (* 1/16 (/ r (PI))))) (* 1/48 (/ (pow r 2) (* s (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r s))
(/ (+ (* -1/6 (/ r (pow s 2))) (* 1/4 (/ 1 s))) r)
(/ (+ (* r (- (* 5/72 (/ r (pow s 3))) (* 1/6 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s))) r)
(/ (+ (* r (- (* r (+ (* -1/48 (/ r (pow s 4))) (* 5/72 (/ 1 (pow s 3))))) (* 1/6 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s))) r)
(* 1/144 (/ r (pow s 3)))
(* r (- (* 1/144 (/ 1 (pow s 3))) (* 1/24 (/ 1 (* r (pow s 2))))))
(* r (- (+ (* 1/8 (/ (+ 1 (exp (neg (/ r s)))) (* (pow r 2) s))) (* 1/144 (/ 1 (pow s 3)))) (/ 1/24 (* r (pow s 2)))))
(* r (- (+ (* 1/8 (/ (+ 1 (exp (neg (/ r s)))) (* (pow r 2) s))) (* 1/144 (/ 1 (pow s 3)))) (/ 1/24 (* r (pow s 2)))))
(* 1/144 (/ r (pow s 3)))
(* -1 (* r (- (* 1/24 (/ 1 (* r (pow s 2)))) (* 1/144 (/ 1 (pow s 3))))))
(* -1 (* r (- (* -1 (/ (- (* -1/8 (/ (- (* -1 (exp (* -1 (/ r s)))) 1) (* r s))) (* 1/24 (/ 1 (pow s 2)))) r)) (* 1/144 (/ 1 (pow s 3))))))
(* -1 (* r (- (* -1 (/ (- (* -1/8 (/ (- (* -1 (exp (* -1 (/ r s)))) 1) (* r s))) (* 1/24 (/ 1 (pow s 2)))) r)) (* 1/144 (/ 1 (pow s 3))))))
(* 1/144 (/ r (pow s 3)))
(/ (+ (* -1/24 s) (* 1/144 r)) (pow s 3))
(/ (+ (* 1/144 r) (* s (- (* 1/8 (* s (+ (/ 1 r) (/ (exp (neg (/ r s))) r)))) 1/24))) (pow s 3))
(/ (+ (* 1/144 r) (* s (- (* 1/8 (* s (+ (/ 1 r) (/ (exp (neg (/ r s))) r)))) 1/24))) (pow s 3))
(/ 1/4 (* r s))
(/ (- (* 1/4 (/ 1 r)) (* 1/6 (/ 1 s))) s)
(/ (- (+ (* 1/144 (/ r (pow s 2))) (+ (* 1/16 (/ r (pow s 2))) (* 1/4 (/ 1 r)))) (* 1/6 (/ 1 s))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (pow s 3))) (+ (* 1/144 (/ r (pow s 2))) (+ (* 1/16 (/ r (pow s 2))) (* 1/4 (/ 1 r))))) (* 1/6 (/ 1 s))) s)
(/ 1/4 (* r s))
(* -1 (/ (- (* 1/6 (/ 1 s)) (* 1/4 (/ 1 r))) s))
(* -1 (/ (- (* -1 (/ (- (+ (* 1/144 (/ r s)) (* 1/16 (/ r s))) 1/6) s)) (* 1/4 (/ 1 r))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (+ (* 1/144 r) (* 1/16 r))) (* 1/48 (/ (pow r 2) s))) s)) 1/6) s)) (* 1/4 (/ 1 r))) s))
(* 1/4 (/ (pow s 2) r))
(/ (+ (* -1/6 (* r s)) (* 1/4 (pow s 2))) r)
(/ (+ (* 1/4 (pow s 2)) (* r (+ (* -1/6 s) (* 5/72 r)))) r)
(/ (+ (* 1/4 (pow s 2)) (* r (+ (* -1/6 s) (* r (+ 5/72 (* -1/48 (/ r s))))))) r)
(* 1/144 r)
(* r (+ 1/144 (* -1/24 (/ s r))))
(* r (+ 1/144 (+ (* -1/24 (/ s r)) (* 1/8 (/ (* (pow s 2) (+ 1 (exp (neg (/ r s))))) (pow r 2))))))
(* r (+ 1/144 (+ (* -1/24 (/ s r)) (* 1/8 (/ (* (pow s 2) (+ 1 (exp (neg (/ r s))))) (pow r 2))))))
(* 1/144 r)
(* -1 (* r (- (* 1/24 (/ s r)) 1/144)))
(* -1 (* r (- (* -1 (/ (+ (* -1/8 (/ (* (pow s 2) (- (* -1 (exp (* -1 (/ r s)))) 1)) r)) (* -1/24 s)) r)) 1/144)))
(* -1 (* r (- (* -1 (/ (+ (* -1/8 (/ (* (pow s 2) (- (* -1 (exp (* -1 (/ r s)))) 1)) r)) (* -1/24 s)) r)) 1/144)))
(* 1/144 r)
(+ (* -1/24 s) (* 1/144 r))
(+ (* 1/144 r) (* s (- (* 1/8 (* s (+ (/ 1 r) (/ (exp (neg (/ r s))) r)))) 1/24)))
(+ (* 1/144 r) (* s (- (* 1/8 (* s (+ (/ 1 r) (/ (exp (neg (/ r s))) r)))) 1/24)))
(* 1/4 (/ (pow s 2) r))
(* (pow s 2) (- (* 1/4 (/ 1 r)) (* 1/6 (/ 1 s))))
(* (pow s 2) (- (+ (* 1/144 (/ r (pow s 2))) (+ (* 1/16 (/ r (pow s 2))) (* 1/4 (/ 1 r)))) (* 1/6 (/ 1 s))))
(* (pow s 2) (- (+ (* -1/48 (/ (pow r 2) (pow s 3))) (+ (* 1/144 (/ r (pow s 2))) (+ (* 1/16 (/ r (pow s 2))) (* 1/4 (/ 1 r))))) (* 1/6 (/ 1 s))))
(* 1/4 (/ (pow s 2) r))
(* (pow s 2) (- (* 1/4 (/ 1 r)) (* 1/6 (/ 1 s))))
(* (pow s 2) (+ (* -1 (/ (+ 1/6 (* -1 (/ (+ (* 1/144 r) (* 1/16 r)) s))) s)) (* 1/4 (/ 1 r))))
(* (pow s 2) (+ (* -1 (/ (+ 1/6 (* -1 (/ (+ (* -1/48 (/ (pow r 2) s)) (+ (* 1/144 r) (* 1/16 r))) s))) s)) (* 1/4 (/ 1 r))))
(* -1/24 s)
(* s (- (* 1/8 (* s (+ (/ 1 r) (/ (exp (neg (/ r s))) r)))) 1/24))
(* s (- (* 1/8 (* s (+ (/ 1 r) (/ (exp (neg (/ r s))) r)))) 1/24))
(* s (- (* 1/8 (* s (+ (/ 1 r) (/ (exp (neg (/ r s))) r)))) 1/24))
(* 1/4 (/ (pow s 2) r))
(* (pow s 2) (- (* 1/4 (/ 1 r)) (* 1/6 (/ 1 s))))
(* (pow s 2) (- (+ (* 1/16 (/ r (pow s 2))) (* 1/4 (/ 1 r))) (* 1/6 (/ 1 s))))
(* (pow s 2) (- (+ (* -1/48 (/ (pow r 2) (pow s 3))) (+ (* 1/16 (/ r (pow s 2))) (* 1/4 (/ 1 r)))) (* 1/6 (/ 1 s))))
(* 1/4 (/ (pow s 2) r))
(* (pow s 2) (- (* 1/4 (/ 1 r)) (* 1/6 (/ 1 s))))
(* (pow s 2) (+ (* -1 (/ (+ 1/6 (* -1/16 (/ r s))) s)) (* 1/4 (/ 1 r))))
(* (pow s 2) (+ (* -1 (/ (+ 1/6 (* -1 (/ (+ (* -1/48 (/ (pow r 2) s)) (* 1/16 r)) s))) s)) (* 1/4 (/ 1 r))))
(* 1/4 (/ (pow s 2) r))
(/ (+ (* -1/6 (* r s)) (* 1/4 (pow s 2))) r)
(/ (+ (* 1/4 (pow s 2)) (* r (+ (* -1/6 s) (* 1/16 r)))) r)
(/ (+ (* 1/4 (pow s 2)) (* r (+ (* -1/6 s) (* r (+ 1/16 (* -1/48 (/ r s))))))) r)
(* -1/24 s)
(+ (* -1/24 s) (* 1/8 (/ (* (pow s 2) (+ 1 (exp (neg (/ r s))))) r)))
(+ (* -1/24 s) (* 1/8 (/ (* (pow s 2) (+ 1 (exp (neg (/ r s))))) r)))
(+ (* -1/24 s) (* 1/8 (/ (* (pow s 2) (+ 1 (exp (neg (/ r s))))) r)))
(* -1/24 s)
(+ (* -1/8 (/ (* (pow s 2) (- (* -1 (exp (* -1 (/ r s)))) 1)) r)) (* -1/24 s))
(+ (* -1/8 (/ (* (pow s 2) (- (* -1 (exp (* -1 (/ r s)))) 1)) r)) (* -1/24 s))
(+ (* -1/8 (/ (* (pow s 2) (- (* -1 (exp (* -1 (/ r s)))) 1)) r)) (* -1/24 s))
(/ -1/6 (pow s 2))
(/ -1/6 (pow s 2))
(/ -1/6 (pow s 2))
(/ -1/6 (pow s 2))
(/ -1/6 (pow s 2))
(/ -1/6 (pow s 2))
(/ -1/6 (pow s 2))
(/ -1/6 (pow s 2))
(/ -1/6 (pow s 2))
(/ -1/6 (pow s 2))
(/ -1/6 (pow s 2))
(/ -1/6 (pow s 2))
(* -1/6 (/ r (pow s 2)))
(* -1/6 (/ r (pow s 2)))
(* -1/6 (/ r (pow s 2)))
(* -1/6 (/ r (pow s 2)))
(* -1/6 (/ r (pow s 2)))
(* -1/6 (/ r (pow s 2)))
(* -1/6 (/ r (pow s 2)))
(* -1/6 (/ r (pow s 2)))
(* -1/6 (/ r (pow s 2)))
(* -1/6 (/ r (pow s 2)))
(* -1/6 (/ r (pow s 2)))
(* -1/6 (/ r (pow s 2)))
(* -1/6 (/ r (pow s 2)))
(* -1/6 (/ r (pow s 2)))
(* -1/6 (/ r (pow s 2)))
(* -1/6 (/ r (pow s 2)))
(* -1/6 (/ r (pow s 2)))
(* -1/6 (/ r (pow s 2)))
(* -1/6 (/ r (pow s 2)))
(* -1/6 (/ r (pow s 2)))
(* -1/6 (/ r (pow s 2)))
(* -1/6 (/ r (pow s 2)))
(* -1/6 (/ r (pow s 2)))
(* -1/6 (/ r (pow s 2)))
(* 1/48 (/ (pow r 2) s))
(* 1/48 (/ (pow r 2) s))
(* 1/48 (/ (pow r 2) s))
(* 1/48 (/ (pow r 2) s))
(* 1/48 (/ (pow r 2) s))
(* 1/48 (/ (pow r 2) s))
(* 1/48 (/ (pow r 2) s))
(* 1/48 (/ (pow r 2) s))
(* 1/48 (/ (pow r 2) s))
(* 1/48 (/ (pow r 2) s))
(* 1/48 (/ (pow r 2) s))
(* 1/48 (/ (pow r 2) s))
(* 1/48 (/ (pow r 2) s))
(* 1/48 (/ (pow r 2) s))
(* 1/48 (/ (pow r 2) s))
(* 1/48 (/ (pow r 2) s))
(* 1/48 (/ (pow r 2) s))
(* 1/48 (/ (pow r 2) s))
(* 1/48 (/ (pow r 2) s))
(* 1/48 (/ (pow r 2) s))
(* 1/48 (/ (pow r 2) s))
(* 1/48 (/ (pow r 2) s))
(* 1/48 (/ (pow r 2) s))
(* 1/48 (/ (pow r 2) s))
(* -5/72 r)
(* -5/72 r)
(* -5/72 r)
(* -5/72 r)
(* -5/72 r)
(* -5/72 r)
(* -5/72 r)
(* -5/72 r)
(* -5/72 r)
(* -5/72 r)
(* -5/72 r)
(* -5/72 r)
(/ (pow r 2) s)
(/ (pow r 2) s)
(/ (pow r 2) s)
(/ (pow r 2) s)
(/ (pow r 2) s)
(/ (pow r 2) s)
(/ (pow r 2) s)
(/ (pow r 2) s)
(/ (pow r 2) s)
(/ (pow r 2) s)
(/ (pow r 2) s)
(/ (pow r 2) s)
(/ (pow r 2) s)
(/ (pow r 2) s)
(/ (pow r 2) s)
(/ (pow r 2) s)
(/ (pow r 2) s)
(/ (pow r 2) s)
(/ (pow r 2) s)
(/ (pow r 2) s)
(/ (pow r 2) s)
(/ (pow r 2) s)
(/ (pow r 2) s)
(/ (pow r 2) s)
(* 1/4 (/ s r))
(/ (+ (* -1/8 r) (* 1/4 s)) r)
(/ (+ (* 1/4 s) (* r (- (* 1/16 (/ r s)) 1/8))) r)
(/ (+ (* 1/4 s) (* r (- (* r (+ (* -1/48 (/ r (pow s 2))) (* 1/16 (/ 1 s)))) 1/8))) r)
(* 1/8 (/ (* s (+ 1 (exp (neg (/ r s))))) r))
(* 1/8 (/ (* s (+ 1 (exp (neg (/ r s))))) r))
(* 1/8 (/ (* s (+ 1 (exp (neg (/ r s))))) r))
(* 1/8 (/ (* s (+ 1 (exp (neg (/ r s))))) r))
(* -1/8 (/ (* s (- (* -1 (exp (* -1 (/ r s)))) 1)) r))
(* -1/8 (/ (* s (- (* -1 (exp (* -1 (/ r s)))) 1)) r))
(* -1/8 (/ (* s (- (* -1 (exp (* -1 (/ r s)))) 1)) r))
(* -1/8 (/ (* s (- (* -1 (exp (* -1 (/ r s)))) 1)) r))
(* 1/8 (* s (+ (/ 1 r) (/ (exp (neg (/ r s))) r))))
(* 1/8 (* s (+ (/ 1 r) (/ (exp (neg (/ r s))) r))))
(* 1/8 (* s (+ (/ 1 r) (/ (exp (neg (/ r s))) r))))
(* 1/8 (* s (+ (/ 1 r) (/ (exp (neg (/ r s))) r))))
(* 1/4 (/ s r))
(* s (- (* 1/4 (/ 1 r)) (* 1/8 (/ 1 s))))
(* s (- (+ (* 1/16 (/ r (pow s 2))) (* 1/4 (/ 1 r))) (* 1/8 (/ 1 s))))
(* s (- (+ (* -1/48 (/ (pow r 2) (pow s 3))) (+ (* 1/16 (/ r (pow s 2))) (* 1/4 (/ 1 r)))) (* 1/8 (/ 1 s))))
(* 1/4 (/ s r))
(* -1 (* s (- (* 1/8 (/ 1 s)) (* 1/4 (/ 1 r)))))
(* -1 (* s (- (* -1 (/ (- (* 1/16 (/ r s)) 1/8) s)) (* 1/4 (/ 1 r)))))
(* -1 (* s (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 r) (* 1/48 (/ (pow r 2) s))) s)) 1/8) s)) (* 1/4 (/ 1 r)))))

Outputs
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
(* -1 s)
(neg.f32 s)
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ (* r (log (E))) s)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(+ 1 (* r (+ (* -1/3 (/ (log (E)) s)) (* 1/18 (/ (* r (pow (log (E)) 2)) (pow s 2))))))
(+.f32 #s(literal 1 binary32) (.f32 r (+.f32 (/.f32 #s(literal -1/3 binary32) s) (.f32 #s(literal 1/18 binary32) (/.f32 r (*.f32 s s))))))
(+ 1 (* r (+ (* -1/3 (/ (log (E)) s)) (* r (+ (* -1/162 (/ (* r (pow (log (E)) 3)) (pow s 3))) (* 1/18 (/ (pow (log (E)) 2) (pow s 2))))))))
(+.f32 #s(literal 1 binary32) (.f32 r (+.f32 (/.f32 #s(literal -1/3 binary32) s) (.f32 r (+.f32 (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (.f32 s s))) (/.f32 #s(literal 1/18 binary32) (.f32 s s)))))))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(exp (* -1/3 (/ (* r (log (E))) s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ (* r (log (E))) s)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(+ 1 (+ (* -1/3 (/ (* r (log (E))) s)) (* 1/18 (/ (* (pow r 2) (pow (log (E)) 2)) (pow s 2)))))
(+.f32 #s(literal 1 binary32) (.f32 r (+.f32 (/.f32 #s(literal -1/3 binary32) s) (.f32 #s(literal 1/18 binary32) (/.f32 r (*.f32 s s))))))
(+ 1 (+ (* -1/3 (/ (* r (log (E))) s)) (+ (* -1/162 (/ (* (pow r 3) (pow (log (E)) 3)) (pow s 3))) (* 1/18 (/ (* (pow r 2) (pow (log (E)) 2)) (pow s 2))))))
(+.f32 (+.f32 #s(literal 1 binary32) (.f32 r (+.f32 (/.f32 #s(literal -1/3 binary32) s) (.f32 #s(literal 1/18 binary32) (/.f32 r (.f32 s s)))))) (/.f32 (.f32 #s(literal -1/162 binary32) (.f32 r (.f32 r r))) (.f32 s (.f32 s s))))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ (* r (log (E))) s)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (* (pow r 2) (pow (log (E)) 2)) s)) (* 1/3 (* r (log (E))))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/18 binary32) (/.f32 (.f32 r r) s)) (*.f32 r #s(literal 1/3 binary32))) s))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (* (pow r 3) (pow (log (E)) 3)) s)) (* 1/18 (* (pow r 2) (pow (log (E)) 2)))) s)) (* 1/3 (* r (log (E))))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 r #s(literal 1/3 binary32)) (/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/162 binary32) (.f32 r (.f32 r r))) s) (.f32 #s(literal 1/18 binary32) (.f32 r r))) s)) s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
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(* 1/48 (/ (pow r 2) s))
(/.f32 (.f32 r (.f32 r #s(literal 1/48 binary32))) s)
(* 1/48 (/ (pow r 2) s))
(/.f32 (.f32 r (.f32 r #s(literal 1/48 binary32))) s)
(* -5/72 r)
(*.f32 r #s(literal -5/72 binary32))
(* -5/72 r)
(*.f32 r #s(literal -5/72 binary32))
(* -5/72 r)
(*.f32 r #s(literal -5/72 binary32))
(* -5/72 r)
(*.f32 r #s(literal -5/72 binary32))
(* -5/72 r)
(*.f32 r #s(literal -5/72 binary32))
(* -5/72 r)
(*.f32 r #s(literal -5/72 binary32))
(* -5/72 r)
(*.f32 r #s(literal -5/72 binary32))
(* -5/72 r)
(*.f32 r #s(literal -5/72 binary32))
(* -5/72 r)
(*.f32 r #s(literal -5/72 binary32))
(* -5/72 r)
(*.f32 r #s(literal -5/72 binary32))
(* -5/72 r)
(*.f32 r #s(literal -5/72 binary32))
(* -5/72 r)
(*.f32 r #s(literal -5/72 binary32))
(/ (pow r 2) s)
(/.f32 (*.f32 r r) s)
(/ (pow r 2) s)
(/.f32 (*.f32 r r) s)
(/ (pow r 2) s)
(/.f32 (*.f32 r r) s)
(/ (pow r 2) s)
(/.f32 (*.f32 r r) s)
(/ (pow r 2) s)
(/.f32 (*.f32 r r) s)
(/ (pow r 2) s)
(/.f32 (*.f32 r r) s)
(/ (pow r 2) s)
(/.f32 (*.f32 r r) s)
(/ (pow r 2) s)
(/.f32 (*.f32 r r) s)
(/ (pow r 2) s)
(/.f32 (*.f32 r r) s)
(/ (pow r 2) s)
(/.f32 (*.f32 r r) s)
(/ (pow r 2) s)
(/.f32 (*.f32 r r) s)
(/ (pow r 2) s)
(/.f32 (*.f32 r r) s)
(/ (pow r 2) s)
(/.f32 (*.f32 r r) s)
(/ (pow r 2) s)
(/.f32 (*.f32 r r) s)
(/ (pow r 2) s)
(/.f32 (*.f32 r r) s)
(/ (pow r 2) s)
(/.f32 (*.f32 r r) s)
(/ (pow r 2) s)
(/.f32 (*.f32 r r) s)
(/ (pow r 2) s)
(/.f32 (*.f32 r r) s)
(/ (pow r 2) s)
(/.f32 (*.f32 r r) s)
(/ (pow r 2) s)
(/.f32 (*.f32 r r) s)
(/ (pow r 2) s)
(/.f32 (*.f32 r r) s)
(/ (pow r 2) s)
(/.f32 (*.f32 r r) s)
(/ (pow r 2) s)
(/.f32 (*.f32 r r) s)
(/ (pow r 2) s)
(/.f32 (*.f32 r r) s)
(* 1/4 (/ s r))
(*.f32 s (/.f32 #s(literal 1/4 binary32) r))
(/ (+ (* -1/8 r) (* 1/4 s)) r)
(/.f32 (+.f32 (.f32 s #s(literal 1/4 binary32)) (.f32 r #s(literal -1/8 binary32))) r)
(/ (+ (* 1/4 s) (* r (- (* 1/16 (/ r s)) 1/8))) r)
(/.f32 (+.f32 (.f32 s #s(literal 1/4 binary32)) (.f32 r (+.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 r #s(literal 1/16 binary32)) s)))) r)
(/ (+ (* 1/4 s) (* r (- (* r (+ (* -1/48 (/ r (pow s 2))) (* 1/16 (/ 1 s)))) 1/8))) r)
(/.f32 (+.f32 (.f32 s #s(literal 1/4 binary32)) (.f32 r (+.f32 #s(literal -1/8 binary32) (.f32 r (+.f32 (.f32 (/.f32 r (*.f32 s s)) #s(literal -1/48 binary32)) (/.f32 #s(literal 1/16 binary32) s)))))) r)
(* 1/8 (/ (* s (+ 1 (exp (neg (/ r s))))) r))
(/.f32 (.f32 (.f32 s #s(literal 1/8 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) r)
(* 1/8 (/ (* s (+ 1 (exp (neg (/ r s))))) r))
(/.f32 (.f32 (.f32 s #s(literal 1/8 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) r)
(* 1/8 (/ (* s (+ 1 (exp (neg (/ r s))))) r))
(/.f32 (.f32 (.f32 s #s(literal 1/8 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) r)
(* 1/8 (/ (* s (+ 1 (exp (neg (/ r s))))) r))
(/.f32 (.f32 (.f32 s #s(literal 1/8 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) r)
(* -1/8 (/ (* s (- (* -1 (exp (* -1 (/ r s)))) 1)) r))
(/.f32 (.f32 (.f32 #s(literal -1/8 binary32) s) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 r s))))) r)
(* -1/8 (/ (* s (- (* -1 (exp (* -1 (/ r s)))) 1)) r))
(/.f32 (.f32 (.f32 #s(literal -1/8 binary32) s) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 r s))))) r)
(* -1/8 (/ (* s (- (* -1 (exp (* -1 (/ r s)))) 1)) r))
(/.f32 (.f32 (.f32 #s(literal -1/8 binary32) s) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 r s))))) r)
(* -1/8 (/ (* s (- (* -1 (exp (* -1 (/ r s)))) 1)) r))
(/.f32 (.f32 (.f32 #s(literal -1/8 binary32) s) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 r s))))) r)
(* 1/8 (* s (+ (/ 1 r) (/ (exp (neg (/ r s))) r))))
(.f32 (+.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) r)) (.f32 s #s(literal 1/8 binary32)))
(* 1/8 (* s (+ (/ 1 r) (/ (exp (neg (/ r s))) r))))
(.f32 (+.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) r)) (.f32 s #s(literal 1/8 binary32)))
(* 1/8 (* s (+ (/ 1 r) (/ (exp (neg (/ r s))) r))))
(.f32 (+.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) r)) (.f32 s #s(literal 1/8 binary32)))
(* 1/8 (* s (+ (/ 1 r) (/ (exp (neg (/ r s))) r))))
(.f32 (+.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) r)) (.f32 s #s(literal 1/8 binary32)))
(* 1/4 (/ s r))
(*.f32 s (/.f32 #s(literal 1/4 binary32) r))
(* s (- (* 1/4 (/ 1 r)) (* 1/8 (/ 1 s))))
(*.f32 s (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal -1/8 binary32) s)))
(* s (- (+ (* 1/16 (/ r (pow s 2))) (* 1/4 (/ 1 r))) (* 1/8 (/ 1 s))))
(.f32 s (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 (.f32 r #s(literal 1/16 binary32)) s)) s)))
(* s (- (+ (* -1/48 (/ (pow r 2) (pow s 3))) (+ (* 1/16 (/ r (pow s 2))) (* 1/4 (/ 1 r)))) (* 1/8 (/ 1 s))))
(.f32 s (+.f32 (/.f32 (.f32 (.f32 r r) #s(literal -1/48 binary32)) (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 (.f32 r #s(literal 1/16 binary32)) s)) s))))
(* 1/4 (/ s r))
(*.f32 s (/.f32 #s(literal 1/4 binary32) r))
(* -1 (* s (- (* 1/8 (/ 1 s)) (* 1/4 (/ 1 r)))))
(*.f32 (neg.f32 s) (+.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 #s(literal -1/4 binary32) r)))
(* -1 (* s (- (* -1 (/ (- (* 1/16 (/ r s)) 1/8) s)) (* 1/4 (/ 1 r)))))
(.f32 (neg.f32 s) (neg.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 (.f32 r #s(literal 1/16 binary32)) s)) s) (/.f32 #s(literal 1/4 binary32) r))))
(* -1 (* s (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 r) (* 1/48 (/ (pow r 2) s))) s)) 1/8) s)) (* 1/4 (/ 1 r)))))
(.f32 (neg.f32 s) (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 (+.f32 (/.f32 (.f32 r (.f32 r #s(literal 1/48 binary32))) s) (.f32 r #s(literal -1/16 binary32))) (neg.f32 s))) (neg.f32 s)) (/.f32 #s(literal -1/4 binary32) r)))

eval161.0ms (1.1%)

Compiler: Compiled 32714 to 3639 computations (88.9% saved)

prune269.0ms (1.8%)

Pruning

66 alts after pruning (61 fresh and 5 done)

	Pruned	Kept	Total
New	1225	31	1256
Fresh	10	30	40
Picked	4	1	5
Done	0	4	4
Total	1239	66	1305

Accuracy

99.9%

Counts

1305 → 66

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.1%	(/.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 r #s(literal -1/6 binary32)) s)) s) r) (PI.f32))
	98.2%	(/.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s)))) r) s) (PI.f32))
	99.6%	(/.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (pow.f32 (E.f32) (/.f32 r (.f32 s #s(literal -3 binary32)))))) r) s) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)))
	99.6%	(/.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (pow.f32 (E.f32) (/.f32 r (.f32 s #s(literal -3 binary32)))))) r) s) (expm1.f32 (log1p.f32 (PI.f32))))
	99.7%	(/.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (pow.f32 (E.f32) (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) s) (PI.f32))
	99.4%	(/.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))))) r) s) (.f32 (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 3 binary32))))
✓	99.7%	(/.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) r) s) (PI.f32))
	9.6%	(/.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 r s) (+.f32 #s(literal -1/3 binary32) (/.f32 (*.f32 r #s(literal 1/18 binary32)) s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) s) r) (PI.f32))
✓	8.4%	(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32))
	6.6%	(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
	6.6%	(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) r) (PI.f32))
	6.6%	(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) s) (PI.f32))
	9.0%	(/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 r #s(literal -5/72 binary32)) s)) s)) s) (PI.f32))
	8.1%	(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 r (/.f32 (*.f32 s s) #s(literal -1/6 binary32)))) (PI.f32)) r)
	8.9%	(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 r #s(literal 5/72 binary32)) s)) s) s))) r) (PI.f32))
	8.2%	(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal -1/6 binary32) s)) s) (PI.f32))
	8.9%	(/.f32 (/.f32 (+.f32 (.f32 s (+.f32 (.f32 s (+.f32 #s(literal -1/6 binary32) (.f32 s (/.f32 #s(literal 1/4 binary32) r)))) (.f32 r #s(literal 5/72 binary32)))) (.f32 (.f32 r r) #s(literal -1/48 binary32))) (pow.f32 s #s(literal 4 binary32))) (PI.f32))
	3.9%	(/.f32 (/.f32 (+.f32 (.f32 s #s(literal -1/24 binary32)) (.f32 r #s(literal 1/144 binary32))) (.f32 s (.f32 s s))) (PI.f32))
	8.9%	(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (/.f32 (.f32 s (+.f32 (.f32 s #s(literal 1/4 binary32)) (.f32 r #s(literal -1/6 binary32)))) r)) (.f32 s (.f32 s s))) (PI.f32))
	8.9%	(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 r #s(literal 1/4 binary32)))))) (PI.f32)) (.f32 s (.f32 s s)))
	8.9%	(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 r #s(literal 1/4 binary32)))))) s) (.f32 (PI.f32) (.f32 s s)))
	8.9%	(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (/.f32 r (.f32 s #s(literal 1/4 binary32))))))) (.f32 s (*.f32 s s))) (PI.f32))
	8.9%	(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (/.f32 (+.f32 (.f32 s #s(literal 1/4 binary32)) (.f32 r (+.f32 #s(literal -1/8 binary32) (.f32 r (+.f32 (.f32 (/.f32 r (.f32 s s)) #s(literal -1/48 binary32)) (/.f32 #s(literal 1/16 binary32) s)))))) r)))) (.f32 s (*.f32 s s))) (PI.f32))
	9.5%	(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (/.f32 (.f32 (+.f32 r (/.f32 r (exp.f32 (/.f32 r s)))) (.f32 s #s(literal 1/8 binary32))) (.f32 r r))))) (.f32 s (*.f32 s s))) (PI.f32))
	9.5%	(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (/.f32 (.f32 (.f32 s #s(literal 1/8 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) r)))) (.f32 s (.f32 s s))) (PI.f32))
	5.6%	(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 (.f32 #s(literal 1/18 binary32) (.f32 r r)) (.f32 s s))) (/.f32 (.f32 s r) #s(literal 1/8 binary32))) (PI.f32))
	9.5%	(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 r #s(literal 1/3 binary32)) (/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/162 binary32) (.f32 r (.f32 r r))) s) (.f32 r (.f32 r #s(literal 1/18 binary32)))) s)) s))) (/.f32 (*.f32 r s) #s(literal 1/8 binary32))) (PI.f32))
✓	99.7%	(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (/.f32 (*.f32 r s) #s(literal 1/8 binary32))) (PI.f32))
	3.9%	(/.f32 (/.f32 (.f32 r (+.f32 #s(literal 1/144 binary32) (.f32 (/.f32 s r) #s(literal -1/24 binary32)))) (.f32 s (.f32 s s))) (PI.f32))
	4.8%	(/.f32 (/.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (*.f32 s s))) (PI.f32))
	8.4%	(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
	8.4%	(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
	8.4%	(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
	6.6%	(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r)
	6.6%	(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) (expm1.f32 (log1p.f32 (PI.f32))))
✓	6.6%	(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) (PI.f32))
	6.6%	(/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 s r))
	6.6%	(/.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 r (PI.f32)))
	8.9%	(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (/.f32 #s(literal 1/48 binary32) (/.f32 s (.f32 r r)))) s)) s)) (*.f32 (PI.f32) (neg.f32 s)))
	8.1%	(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s)
	5.6%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 (/.f32 (.f32 #s(literal 1/18 binary32) (.f32 r r)) s) s))) (PI.f32))
	8.1%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 r s) #s(literal -4/3 binary32)))) (PI.f32))
	99.6%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) s) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) s))) r)
	6.6%	(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32))) r)
	6.6%	(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 #s(literal 1 binary32) r)) (PI.f32))
	99.6%	(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (PI.f32))) s)
	8.9%	(/.f32 (.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (/.f32 #s(literal 1/48 binary32) (/.f32 s (*.f32 r r)))) s)) s)) (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 s))
	2.5%	(/.f32 (.f32 r (-.f32 (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s s))) (/.f32 (/.f32 #s(literal 1/24 binary32) (.f32 s s)) r))) (PI.f32))
	7.5%	(/.f32 (.f32 r (+.f32 (/.f32 (/.f32 #s(literal 5/72 binary32) (.f32 s s)) s) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal -1/6 binary32) s)) s) r))) (PI.f32))
	99.7%	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))))) (.f32 (*.f32 r s) (PI.f32)))
	8.9%	(/.f32 (neg.f32 (/.f32 (/.f32 (/.f32 (-.f32 (.f32 s #s(literal -1/4 binary32)) (.f32 r (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (/.f32 #s(literal 1/48 binary32) (/.f32 s (.f32 r r)))) s)))) r) s) s)) (PI.f32))
	8.9%	(/.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (-.f32 #s(literal 1/6 binary32) (/.f32 (.f32 r (+.f32 #s(literal 5/72 binary32) (/.f32 (.f32 r #s(literal -1/48 binary32)) s))) s)) s)) (neg.f32 s))) (PI.f32))
	7.5%	(/.f32 (neg.f32 (/.f32 (.f32 (.f32 r r) (-.f32 (/.f32 #s(literal 1/48 binary32) (.f32 s (.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s s)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/4 binary32) r)) r)) r))) s)) (PI.f32))
	8.8%	(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (.f32 s r)) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (/.f32 #s(literal 1/48 binary32) (/.f32 s (.f32 r r)))) s)) (.f32 s s)))) (PI.f32))
	6.6%	(/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (.f32 s r) #s(literal 1/8 binary32))) #s(literal -1 binary32))) (PI.f32))
	6.6%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) (*.f32 s r))))
✓	8.4%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
	6.6%	(/.f32 #s(literal 1/8 binary32) (.f32 (.f32 s r) (PI.f32)))
	6.6%	(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
	9.5%	(+.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 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (+.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32)) (.f32 (/.f32 (/.f32 (*.f32 r r) s) (PI.f32)) #s(literal 1/1296 binary32))) s)) s) (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r)) s))
	8.1%	(+.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 (.f32 (.f32 r r) #s(literal -1/1296 binary32)) (.f32 s (.f32 (PI.f32) (.f32 s s)))) (+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) (/.f32 (+.f32 (.f32 #s(literal 1/144 binary32) (/.f32 (/.f32 r s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) s))) s))
	6.6%	(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (.f32 s r)))
	6.6%	(.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 s r)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
	2.5%	(.f32 r (+.f32 (/.f32 (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s s))) (PI.f32)) (/.f32 #s(literal -1/24 binary32) (.f32 r (.f32 (.f32 s s) (PI.f32))))))
	99.6%	(.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (*.f32 s (PI.f32))))
	6.6%	(exp.f32 (.f32 (log.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) (.f32 s r)))) #s(literal -1 binary32)))

Compiler

Compiled 3949 to 1708 computations (56.7% saved)

regimes159.0ms (1.1%)

Counts

130 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(/.f32 #s(literal 1/8 binary32) (.f32 (.f32 s r) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))
(/.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 s r))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) (PI.f32))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r)
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) s) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) r) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s)
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r)
(*.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 #s(literal 1 binary32) r) (PI.f32)))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (.f32 s r)))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (.f32 s r)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) (*.f32 s r))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 r (PI.f32)) (/.f32 #s(literal 1/4 binary32) s)))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 #s(literal 1 binary32) r)) (PI.f32))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32))) r)
(/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32))) r)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 r (/.f32 #s(literal 1/4 binary32) s)))
(.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (.f32 (/.f32 (/.f32 r (.f32 s s)) s) #s(literal 1/144 binary32)) (PI.f32))
(/.f32 (/.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (*.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal -1/6 binary32) s)) s) (PI.f32))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s)
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 r #s(literal -1/6 binary32)) s)) s) r) (PI.f32))
(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/4 binary32) (.f32 r (PI.f32)))) (neg.f32 s))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 r s) #s(literal -4/3 binary32)))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 s #s(literal -1/24 binary32)) (.f32 r #s(literal 1/144 binary32))) (.f32 s (.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s s)))) r) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s s)))) r) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 r (/.f32 (*.f32 s s) #s(literal -1/6 binary32)))) (PI.f32)) r)
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s s))) (PI.f32)) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32))) r)
(/.f32 (+.f32 (/.f32 (.f32 s #s(literal -1/24 binary32)) (PI.f32)) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s (.f32 s s)))
(/.f32 (/.f32 (.f32 r (+.f32 #s(literal 1/144 binary32) (.f32 (/.f32 s r) #s(literal -1/24 binary32)))) (.f32 s (.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 r #s(literal 5/72 binary32)) s)) s)) s) (PI.f32))
(/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 r #s(literal -5/72 binary32)) s)) s)) s) (PI.f32))
(/.f32 (.f32 r (-.f32 (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s s))) (/.f32 (/.f32 #s(literal 1/24 binary32) (.f32 s s)) r))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 r #s(literal 5/9 binary32))) s)) s)) s) (PI.f32))
(.f32 r (+.f32 (/.f32 (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s s))) (PI.f32)) (/.f32 #s(literal -1/24 binary32) (.f32 r (.f32 (.f32 s s) (PI.f32))))))
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (/.f32 (+.f32 (*.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s)
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (.f32 s (/.f32 #s(literal 1/4 binary32) r))))) (.f32 s (*.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 r #s(literal 1/4 binary32)))))) s) (.f32 (PI.f32) (.f32 s s)))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 r #s(literal 1/4 binary32)))))) (PI.f32)) (.f32 s (.f32 s s)))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 r #s(literal 5/72 binary32)) s)) (*.f32 s s)))) r) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 r #s(literal 5/72 binary32)) s)) s) s))) r) (PI.f32))
(/.f32 (.f32 r (+.f32 (/.f32 (/.f32 #s(literal 5/72 binary32) s) (.f32 s s)) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal -1/6 binary32) s)) s) r))) (PI.f32))
(/.f32 (.f32 r (+.f32 (/.f32 (/.f32 #s(literal 5/72 binary32) (.f32 s s)) s) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal -1/6 binary32) s)) s) r))) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (.f32 r #s(literal 4/3 binary32)) (.f32 (/.f32 (*.f32 r r) s) #s(literal -5/9 binary32))) s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (/.f32 r (.f32 s #s(literal 1/4 binary32))))))) (.f32 s (*.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (/.f32 (.f32 s (+.f32 (.f32 s #s(literal 1/4 binary32)) (.f32 r #s(literal -1/6 binary32)))) r)) (.f32 s (.f32 s s))) (PI.f32))
(/.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (-.f32 #s(literal 1/6 binary32) (/.f32 (.f32 r (+.f32 #s(literal 5/72 binary32) (/.f32 (.f32 r #s(literal -1/48 binary32)) s))) s)) s)) (neg.f32 s))) (PI.f32))
(/.f32 (+.f32 (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32)) (.f32 s (+.f32 (/.f32 (.f32 s (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))))) (.f32 s (*.f32 s s)))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (+.f32 (.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (.f32 s s)) s)) (/.f32 #s(literal -1/6 binary32) (.f32 s s))))) r) (PI.f32))
(/.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (.f32 (/.f32 (*.f32 r r) s) #s(literal 1/48 binary32))) s)) s)) s)) (PI.f32))
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (/.f32 #s(literal 1/48 binary32) (/.f32 s (.f32 r r)))) s)) s)) (*.f32 (PI.f32) (neg.f32 s)))
(/.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (.f32 #s(literal 1/8 binary32) (/.f32 (.f32 (.f32 r r) #s(literal 14/81 binary32)) s))) s)) s) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))
(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (.f32 s r)) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (/.f32 #s(literal 1/48 binary32) (/.f32 s (.f32 r r)))) s)) (.f32 s s)))) (PI.f32))
(/.f32 (.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (/.f32 #s(literal 1/48 binary32) (/.f32 s (*.f32 r r)))) s)) s)) (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 s))
(/.f32 (neg.f32 (/.f32 (/.f32 (/.f32 (-.f32 (.f32 s #s(literal -1/4 binary32)) (.f32 r (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (/.f32 #s(literal 1/48 binary32) (/.f32 s (.f32 r r)))) s)))) r) s) s)) (PI.f32))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (+.f32 (/.f32 (.f32 r #s(literal -5/72 binary32)) (PI.f32)) (.f32 #s(literal 7/324 binary32) (/.f32 (/.f32 (*.f32 r r) s) (PI.f32)))) s)) s) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32))) s)
(/.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/8 binary32) (/.f32 (.f32 r #s(literal 5/9 binary32)) s))) s)) (.f32 (/.f32 (.f32 r (/.f32 r (*.f32 s s))) s) #s(literal -1/48 binary32))) s) (PI.f32))
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (+.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32)) (.f32 #s(literal 1/48 binary32) (.f32 r (/.f32 (/.f32 r s) (PI.f32))))) s)) s)) (neg.f32 s))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 r #s(literal 4/3 binary32)) (/.f32 (+.f32 (.f32 r (.f32 r #s(literal 5/9 binary32))) (/.f32 (.f32 (.f32 r (.f32 r r)) #s(literal -1/6 binary32)) s)) s)) s))) (PI.f32))
(/.f32 (neg.f32 (/.f32 (.f32 (.f32 r r) (-.f32 (/.f32 #s(literal 1/48 binary32) (.f32 s (.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s s)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/4 binary32) r)) r)) r))) s)) (PI.f32))
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (PI.f32))) (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 (+.f32 (/.f32 (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s))) s)
(/.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (.f32 (/.f32 (/.f32 (/.f32 r s) (PI.f32)) s) #s(literal 5/72 binary32))) (+.f32 (.f32 (/.f32 (.f32 r r) (.f32 s (.f32 (PI.f32) (.f32 s s)))) #s(literal -7/324 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (/.f32 (+.f32 (.f32 s #s(literal 1/4 binary32)) (.f32 r (+.f32 #s(literal -1/8 binary32) (.f32 r (+.f32 (.f32 (/.f32 r (.f32 s s)) #s(literal -1/48 binary32)) (/.f32 #s(literal 1/16 binary32) s)))))) r)))) (.f32 s (*.f32 s s))) (PI.f32))
(*.f32 (pow.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) s)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) r))
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32)) (/.f32 (*.f32 r s) #s(literal 1/8 binary32))) (PI.f32))
(/.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) r) s) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal 1 binary32))) (PI.f32))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r))
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 (.f32 #s(literal 1/18 binary32) (.f32 r r)) (.f32 s s))) (/.f32 (.f32 s r) #s(literal 1/8 binary32))) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (*.f32 s s)))) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 (/.f32 (.f32 #s(literal 1/18 binary32) (.f32 r r)) s) s))) (PI.f32))
(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (/.f32 (+.f32 (.f32 s (+.f32 (.f32 s (+.f32 #s(literal -1/6 binary32) (.f32 s (/.f32 #s(literal 1/4 binary32) r)))) (.f32 r #s(literal 5/72 binary32)))) (.f32 (.f32 r r) #s(literal -1/48 binary32))) (pow.f32 s #s(literal 4 binary32))) (PI.f32))
(/.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 r s) (+.f32 #s(literal -1/3 binary32) (/.f32 (*.f32 r #s(literal 1/18 binary32)) s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) s) r) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (.f32 (.f32 r r) #s(literal -1/18 binary32)) s) (*.f32 r #s(literal 1/3 binary32))) s)))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (/.f32 (.f32 (.f32 s #s(literal 1/8 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) r)))) (.f32 s (.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (+.f32 (/.f32 (.f32 r (.f32 r #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32))) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 r #s(literal 5/72 binary32)) s)) (*.f32 s s))))) r) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)) (/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (.f32 s s)))))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) r)) (.f32 s #s(literal 1/8 binary32)))))) (.f32 s (.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (/.f32 (.f32 (+.f32 r (/.f32 r (exp.f32 (/.f32 r s)))) (.f32 s #s(literal 1/8 binary32))) (.f32 r r))))) (.f32 s (*.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (+.f32 (.f32 r (+.f32 (.f32 #s(literal -7/324 binary32) (/.f32 r (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s s))))) (/.f32 #s(literal -1/6 binary32) (.f32 s s))))) r) (PI.f32))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) (/.f32 (+.f32 (*.f32 #s(literal 1/144 binary32) (/.f32 (/.f32 r s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) s)) s))
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 r #s(literal 1/3 binary32)) (/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/162 binary32) (.f32 r (.f32 r r))) s) (.f32 r (.f32 r #s(literal 1/18 binary32)))) s)) s))) (/.f32 (*.f32 r s) #s(literal 1/8 binary32))) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 r #s(literal 1/3 binary32)) (/.f32 (+.f32 (.f32 (.f32 r (/.f32 (.f32 r r) s)) #s(literal -1/162 binary32)) (.f32 r (.f32 r #s(literal 1/18 binary32)))) s)) s)))) (PI.f32))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (+.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32)) (.f32 (/.f32 (/.f32 (*.f32 r r) s) (PI.f32)) #s(literal 1/1296 binary32))) s)) s) (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r)) s))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (.f32 (.f32 r r) #s(literal -1/1296 binary32)) (.f32 s (.f32 (PI.f32) (.f32 s s)))) (+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) (/.f32 (+.f32 (.f32 #s(literal 1/144 binary32) (/.f32 (/.f32 r s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) s))) s))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) (expm1.f32 (log1p.f32 (PI.f32))))
(exp.f32 (.f32 (log.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) (.f32 s r)))) #s(literal -1 binary32)))
(/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (.f32 s r) #s(literal 1/8 binary32))) #s(literal -1 binary32))) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 s r)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (*.f32 s (PI.f32))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))))) (.f32 (*.f32 r s) (PI.f32)))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (PI.f32))) s)
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (/.f32 (*.f32 r s) #s(literal 1/8 binary32))) (PI.f32))
(/.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) r) s) (PI.f32))
(/.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))))) r) s) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))))) (PI.f32))
(/.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (pow.f32 (E.f32) (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r) s) (PI.f32))
(/.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (pow.f32 (E.f32) (/.f32 r (.f32 s #s(literal -3 binary32)))))) r) s) (PI.f32))
(/.f32 (/.f32 (/.f32 (+.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 1/8 binary32)) (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s)))) r) (PI.f32)) s)
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (pow.f32 (E.f32) (/.f32 (/.f32 r s) #s(literal -3 binary32))))) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) s) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) s))) r)
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 s (/.f32 (+.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 1/8 binary32)) (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s)))) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (+.f32 (.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r s))) r) (.f32 (.f32 s (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) r)) (.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (.f32 s (PI.f32)))))) (.f32 (.f32 s (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r)) r))
(/.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s)))) r) s) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (pow.f32 (exp.f32 (/.f32 #s(literal 1/3 binary32) s)) (neg.f32 r)))) (PI.f32))
(/.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (pow.f32 (exp.f32 r) (.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/3 binary32))))) r) s) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))))) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (pow.f32 (/.f32 #s(literal 1 binary32) (exp.f32 r)) (/.f32 #s(literal 1/3 binary32) s)))) (PI.f32))
(/.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (pow.f32 (E.f32) (/.f32 r (.f32 s #s(literal -3 binary32)))))) r) s) (expm1.f32 (log1p.f32 (PI.f32))))
(/.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (pow.f32 (E.f32) (/.f32 r (.f32 s #s(literal -3 binary32)))))) r) s) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)))
(/.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))))) r) s) (.f32 (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 3 binary32))))

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

Calls

3 calls:

57.0ms

56.0ms

28.0ms

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

Results

Accuracy	Segments	Branch
99.7%	1	`s`
99.7%	1	`r`
99.7%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes353.0ms (2.4%)

Counts

109 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(/.f32 #s(literal 1/8 binary32) (.f32 (.f32 s r) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))
(/.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 s r))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) (PI.f32))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r)
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) s) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) r) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s)
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r)
(*.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 #s(literal 1 binary32) r) (PI.f32)))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (.f32 s r)))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (.f32 s r)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) (*.f32 s r))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 r (PI.f32)) (/.f32 #s(literal 1/4 binary32) s)))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 #s(literal 1 binary32) r)) (PI.f32))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32))) r)
(/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32))) r)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 r (/.f32 #s(literal 1/4 binary32) s)))
(.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (.f32 (/.f32 (/.f32 r (.f32 s s)) s) #s(literal 1/144 binary32)) (PI.f32))
(/.f32 (/.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (*.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal -1/6 binary32) s)) s) (PI.f32))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s)
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 r #s(literal -1/6 binary32)) s)) s) r) (PI.f32))
(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/4 binary32) (.f32 r (PI.f32)))) (neg.f32 s))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 r s) #s(literal -4/3 binary32)))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 s #s(literal -1/24 binary32)) (.f32 r #s(literal 1/144 binary32))) (.f32 s (.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s s)))) r) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s s)))) r) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 r (/.f32 (*.f32 s s) #s(literal -1/6 binary32)))) (PI.f32)) r)
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s s))) (PI.f32)) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32))) r)
(/.f32 (+.f32 (/.f32 (.f32 s #s(literal -1/24 binary32)) (PI.f32)) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s (.f32 s s)))
(/.f32 (/.f32 (.f32 r (+.f32 #s(literal 1/144 binary32) (.f32 (/.f32 s r) #s(literal -1/24 binary32)))) (.f32 s (.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 r #s(literal 5/72 binary32)) s)) s)) s) (PI.f32))
(/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 r #s(literal -5/72 binary32)) s)) s)) s) (PI.f32))
(/.f32 (.f32 r (-.f32 (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s s))) (/.f32 (/.f32 #s(literal 1/24 binary32) (.f32 s s)) r))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 r #s(literal 5/9 binary32))) s)) s)) s) (PI.f32))
(.f32 r (+.f32 (/.f32 (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s s))) (PI.f32)) (/.f32 #s(literal -1/24 binary32) (.f32 r (.f32 (.f32 s s) (PI.f32))))))
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (/.f32 (+.f32 (*.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s)
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (.f32 s (/.f32 #s(literal 1/4 binary32) r))))) (.f32 s (*.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 r #s(literal 1/4 binary32)))))) s) (.f32 (PI.f32) (.f32 s s)))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 r #s(literal 1/4 binary32)))))) (PI.f32)) (.f32 s (.f32 s s)))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 r #s(literal 5/72 binary32)) s)) (*.f32 s s)))) r) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 r #s(literal 5/72 binary32)) s)) s) s))) r) (PI.f32))
(/.f32 (.f32 r (+.f32 (/.f32 (/.f32 #s(literal 5/72 binary32) s) (.f32 s s)) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal -1/6 binary32) s)) s) r))) (PI.f32))
(/.f32 (.f32 r (+.f32 (/.f32 (/.f32 #s(literal 5/72 binary32) (.f32 s s)) s) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal -1/6 binary32) s)) s) r))) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (.f32 r #s(literal 4/3 binary32)) (.f32 (/.f32 (*.f32 r r) s) #s(literal -5/9 binary32))) s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (/.f32 r (.f32 s #s(literal 1/4 binary32))))))) (.f32 s (*.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (/.f32 (.f32 s (+.f32 (.f32 s #s(literal 1/4 binary32)) (.f32 r #s(literal -1/6 binary32)))) r)) (.f32 s (.f32 s s))) (PI.f32))
(/.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (-.f32 #s(literal 1/6 binary32) (/.f32 (.f32 r (+.f32 #s(literal 5/72 binary32) (/.f32 (.f32 r #s(literal -1/48 binary32)) s))) s)) s)) (neg.f32 s))) (PI.f32))
(/.f32 (+.f32 (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32)) (.f32 s (+.f32 (/.f32 (.f32 s (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))))) (.f32 s (*.f32 s s)))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (+.f32 (.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (.f32 s s)) s)) (/.f32 #s(literal -1/6 binary32) (.f32 s s))))) r) (PI.f32))
(/.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (.f32 (/.f32 (*.f32 r r) s) #s(literal 1/48 binary32))) s)) s)) s)) (PI.f32))
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (/.f32 #s(literal 1/48 binary32) (/.f32 s (.f32 r r)))) s)) s)) (*.f32 (PI.f32) (neg.f32 s)))
(/.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (.f32 #s(literal 1/8 binary32) (/.f32 (.f32 (.f32 r r) #s(literal 14/81 binary32)) s))) s)) s) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))
(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (.f32 s r)) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (/.f32 #s(literal 1/48 binary32) (/.f32 s (.f32 r r)))) s)) (.f32 s s)))) (PI.f32))
(/.f32 (.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (/.f32 #s(literal 1/48 binary32) (/.f32 s (*.f32 r r)))) s)) s)) (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 s))
(/.f32 (neg.f32 (/.f32 (/.f32 (/.f32 (-.f32 (.f32 s #s(literal -1/4 binary32)) (.f32 r (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (/.f32 #s(literal 1/48 binary32) (/.f32 s (.f32 r r)))) s)))) r) s) s)) (PI.f32))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (+.f32 (/.f32 (.f32 r #s(literal -5/72 binary32)) (PI.f32)) (.f32 #s(literal 7/324 binary32) (/.f32 (/.f32 (*.f32 r r) s) (PI.f32)))) s)) s) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32))) s)
(/.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/8 binary32) (/.f32 (.f32 r #s(literal 5/9 binary32)) s))) s)) (.f32 (/.f32 (.f32 r (/.f32 r (*.f32 s s))) s) #s(literal -1/48 binary32))) s) (PI.f32))
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (+.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32)) (.f32 #s(literal 1/48 binary32) (.f32 r (/.f32 (/.f32 r s) (PI.f32))))) s)) s)) (neg.f32 s))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 r #s(literal 4/3 binary32)) (/.f32 (+.f32 (.f32 r (.f32 r #s(literal 5/9 binary32))) (/.f32 (.f32 (.f32 r (.f32 r r)) #s(literal -1/6 binary32)) s)) s)) s))) (PI.f32))
(/.f32 (neg.f32 (/.f32 (.f32 (.f32 r r) (-.f32 (/.f32 #s(literal 1/48 binary32) (.f32 s (.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s s)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/4 binary32) r)) r)) r))) s)) (PI.f32))
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (PI.f32))) (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 (+.f32 (/.f32 (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s))) s)
(/.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (.f32 (/.f32 (/.f32 (/.f32 r s) (PI.f32)) s) #s(literal 5/72 binary32))) (+.f32 (.f32 (/.f32 (.f32 r r) (.f32 s (.f32 (PI.f32) (.f32 s s)))) #s(literal -7/324 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (/.f32 (+.f32 (.f32 s #s(literal 1/4 binary32)) (.f32 r (+.f32 #s(literal -1/8 binary32) (.f32 r (+.f32 (.f32 (/.f32 r (.f32 s s)) #s(literal -1/48 binary32)) (/.f32 #s(literal 1/16 binary32) s)))))) r)))) (.f32 s (*.f32 s s))) (PI.f32))
(*.f32 (pow.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) s)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) r))
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32)) (/.f32 (*.f32 r s) #s(literal 1/8 binary32))) (PI.f32))
(/.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) r) s) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal 1 binary32))) (PI.f32))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r))
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 (.f32 #s(literal 1/18 binary32) (.f32 r r)) (.f32 s s))) (/.f32 (.f32 s r) #s(literal 1/8 binary32))) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (*.f32 s s)))) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 (/.f32 (.f32 #s(literal 1/18 binary32) (.f32 r r)) s) s))) (PI.f32))
(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (/.f32 (+.f32 (.f32 s (+.f32 (.f32 s (+.f32 #s(literal -1/6 binary32) (.f32 s (/.f32 #s(literal 1/4 binary32) r)))) (.f32 r #s(literal 5/72 binary32)))) (.f32 (.f32 r r) #s(literal -1/48 binary32))) (pow.f32 s #s(literal 4 binary32))) (PI.f32))
(/.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 r s) (+.f32 #s(literal -1/3 binary32) (/.f32 (*.f32 r #s(literal 1/18 binary32)) s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) s) r) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (.f32 (.f32 r r) #s(literal -1/18 binary32)) s) (*.f32 r #s(literal 1/3 binary32))) s)))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (/.f32 (.f32 (.f32 s #s(literal 1/8 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) r)))) (.f32 s (.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (+.f32 (/.f32 (.f32 r (.f32 r #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32))) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 r #s(literal 5/72 binary32)) s)) (*.f32 s s))))) r) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)) (/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (.f32 s s)))))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) r)) (.f32 s #s(literal 1/8 binary32)))))) (.f32 s (.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (/.f32 (.f32 (+.f32 r (/.f32 r (exp.f32 (/.f32 r s)))) (.f32 s #s(literal 1/8 binary32))) (.f32 r r))))) (.f32 s (*.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (+.f32 (.f32 r (+.f32 (.f32 #s(literal -7/324 binary32) (/.f32 r (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s s))))) (/.f32 #s(literal -1/6 binary32) (.f32 s s))))) r) (PI.f32))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) (/.f32 (+.f32 (*.f32 #s(literal 1/144 binary32) (/.f32 (/.f32 r s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) s)) s))
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 r #s(literal 1/3 binary32)) (/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/162 binary32) (.f32 r (.f32 r r))) s) (.f32 r (.f32 r #s(literal 1/18 binary32)))) s)) s))) (/.f32 (*.f32 r s) #s(literal 1/8 binary32))) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 r #s(literal 1/3 binary32)) (/.f32 (+.f32 (.f32 (.f32 r (/.f32 (.f32 r r) s)) #s(literal -1/162 binary32)) (.f32 r (.f32 r #s(literal 1/18 binary32)))) s)) s)))) (PI.f32))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (+.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32)) (.f32 (/.f32 (/.f32 (*.f32 r r) s) (PI.f32)) #s(literal 1/1296 binary32))) s)) s) (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r)) s))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (.f32 (.f32 r r) #s(literal -1/1296 binary32)) (.f32 s (.f32 (PI.f32) (.f32 s s)))) (+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) (/.f32 (+.f32 (.f32 #s(literal 1/144 binary32) (/.f32 (/.f32 r s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) s))) s))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) (expm1.f32 (log1p.f32 (PI.f32))))
(exp.f32 (.f32 (log.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) (.f32 s r)))) #s(literal -1 binary32)))
(/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (.f32 s r) #s(literal 1/8 binary32))) #s(literal -1 binary32))) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 s r)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (*.f32 s (PI.f32))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))))) (.f32 (*.f32 r s) (PI.f32)))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (PI.f32))) s)

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

Calls

2 calls:

34.0ms	s
31.0ms	r

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes107.0ms (0.7%)

Counts

107 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(/.f32 #s(literal 1/8 binary32) (.f32 (.f32 s r) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))
(/.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 s r))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) (PI.f32))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r)
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) s) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) r) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s)
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r)
(*.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 #s(literal 1 binary32) r) (PI.f32)))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (.f32 s r)))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (.f32 s r)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) (*.f32 s r))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 r (PI.f32)) (/.f32 #s(literal 1/4 binary32) s)))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 #s(literal 1 binary32) r)) (PI.f32))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32))) r)
(/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32))) r)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 r (/.f32 #s(literal 1/4 binary32) s)))
(.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (.f32 (/.f32 (/.f32 r (.f32 s s)) s) #s(literal 1/144 binary32)) (PI.f32))
(/.f32 (/.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (*.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal -1/6 binary32) s)) s) (PI.f32))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s)
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 r #s(literal -1/6 binary32)) s)) s) r) (PI.f32))
(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/4 binary32) (.f32 r (PI.f32)))) (neg.f32 s))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 r s) #s(literal -4/3 binary32)))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 s #s(literal -1/24 binary32)) (.f32 r #s(literal 1/144 binary32))) (.f32 s (.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s s)))) r) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s s)))) r) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 r (/.f32 (*.f32 s s) #s(literal -1/6 binary32)))) (PI.f32)) r)
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s s))) (PI.f32)) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32))) r)
(/.f32 (+.f32 (/.f32 (.f32 s #s(literal -1/24 binary32)) (PI.f32)) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s (.f32 s s)))
(/.f32 (/.f32 (.f32 r (+.f32 #s(literal 1/144 binary32) (.f32 (/.f32 s r) #s(literal -1/24 binary32)))) (.f32 s (.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 r #s(literal 5/72 binary32)) s)) s)) s) (PI.f32))
(/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 r #s(literal -5/72 binary32)) s)) s)) s) (PI.f32))
(/.f32 (.f32 r (-.f32 (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s s))) (/.f32 (/.f32 #s(literal 1/24 binary32) (.f32 s s)) r))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 r #s(literal 5/9 binary32))) s)) s)) s) (PI.f32))
(.f32 r (+.f32 (/.f32 (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s s))) (PI.f32)) (/.f32 #s(literal -1/24 binary32) (.f32 r (.f32 (.f32 s s) (PI.f32))))))
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (/.f32 (+.f32 (*.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s)
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (.f32 s (/.f32 #s(literal 1/4 binary32) r))))) (.f32 s (*.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 r #s(literal 1/4 binary32)))))) s) (.f32 (PI.f32) (.f32 s s)))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 r #s(literal 1/4 binary32)))))) (PI.f32)) (.f32 s (.f32 s s)))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 r #s(literal 5/72 binary32)) s)) (*.f32 s s)))) r) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 r #s(literal 5/72 binary32)) s)) s) s))) r) (PI.f32))
(/.f32 (.f32 r (+.f32 (/.f32 (/.f32 #s(literal 5/72 binary32) s) (.f32 s s)) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal -1/6 binary32) s)) s) r))) (PI.f32))
(/.f32 (.f32 r (+.f32 (/.f32 (/.f32 #s(literal 5/72 binary32) (.f32 s s)) s) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal -1/6 binary32) s)) s) r))) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (.f32 r #s(literal 4/3 binary32)) (.f32 (/.f32 (*.f32 r r) s) #s(literal -5/9 binary32))) s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (/.f32 r (.f32 s #s(literal 1/4 binary32))))))) (.f32 s (*.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (/.f32 (.f32 s (+.f32 (.f32 s #s(literal 1/4 binary32)) (.f32 r #s(literal -1/6 binary32)))) r)) (.f32 s (.f32 s s))) (PI.f32))
(/.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (-.f32 #s(literal 1/6 binary32) (/.f32 (.f32 r (+.f32 #s(literal 5/72 binary32) (/.f32 (.f32 r #s(literal -1/48 binary32)) s))) s)) s)) (neg.f32 s))) (PI.f32))
(/.f32 (+.f32 (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32)) (.f32 s (+.f32 (/.f32 (.f32 s (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))))) (.f32 s (*.f32 s s)))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (+.f32 (.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (.f32 s s)) s)) (/.f32 #s(literal -1/6 binary32) (.f32 s s))))) r) (PI.f32))
(/.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (.f32 (/.f32 (*.f32 r r) s) #s(literal 1/48 binary32))) s)) s)) s)) (PI.f32))
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (/.f32 #s(literal 1/48 binary32) (/.f32 s (.f32 r r)))) s)) s)) (*.f32 (PI.f32) (neg.f32 s)))
(/.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (.f32 #s(literal 1/8 binary32) (/.f32 (.f32 (.f32 r r) #s(literal 14/81 binary32)) s))) s)) s) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))
(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (.f32 s r)) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (/.f32 #s(literal 1/48 binary32) (/.f32 s (.f32 r r)))) s)) (.f32 s s)))) (PI.f32))
(/.f32 (.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (/.f32 #s(literal 1/48 binary32) (/.f32 s (*.f32 r r)))) s)) s)) (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 s))
(/.f32 (neg.f32 (/.f32 (/.f32 (/.f32 (-.f32 (.f32 s #s(literal -1/4 binary32)) (.f32 r (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (/.f32 #s(literal 1/48 binary32) (/.f32 s (.f32 r r)))) s)))) r) s) s)) (PI.f32))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (+.f32 (/.f32 (.f32 r #s(literal -5/72 binary32)) (PI.f32)) (.f32 #s(literal 7/324 binary32) (/.f32 (/.f32 (*.f32 r r) s) (PI.f32)))) s)) s) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32))) s)
(/.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/8 binary32) (/.f32 (.f32 r #s(literal 5/9 binary32)) s))) s)) (.f32 (/.f32 (.f32 r (/.f32 r (*.f32 s s))) s) #s(literal -1/48 binary32))) s) (PI.f32))
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (+.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32)) (.f32 #s(literal 1/48 binary32) (.f32 r (/.f32 (/.f32 r s) (PI.f32))))) s)) s)) (neg.f32 s))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 r #s(literal 4/3 binary32)) (/.f32 (+.f32 (.f32 r (.f32 r #s(literal 5/9 binary32))) (/.f32 (.f32 (.f32 r (.f32 r r)) #s(literal -1/6 binary32)) s)) s)) s))) (PI.f32))
(/.f32 (neg.f32 (/.f32 (.f32 (.f32 r r) (-.f32 (/.f32 #s(literal 1/48 binary32) (.f32 s (.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s s)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/4 binary32) r)) r)) r))) s)) (PI.f32))
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (PI.f32))) (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 (+.f32 (/.f32 (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s))) s)
(/.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (.f32 (/.f32 (/.f32 (/.f32 r s) (PI.f32)) s) #s(literal 5/72 binary32))) (+.f32 (.f32 (/.f32 (.f32 r r) (.f32 s (.f32 (PI.f32) (.f32 s s)))) #s(literal -7/324 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (/.f32 (+.f32 (.f32 s #s(literal 1/4 binary32)) (.f32 r (+.f32 #s(literal -1/8 binary32) (.f32 r (+.f32 (.f32 (/.f32 r (.f32 s s)) #s(literal -1/48 binary32)) (/.f32 #s(literal 1/16 binary32) s)))))) r)))) (.f32 s (*.f32 s s))) (PI.f32))
(*.f32 (pow.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) s)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) r))
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32)) (/.f32 (*.f32 r s) #s(literal 1/8 binary32))) (PI.f32))
(/.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) r) s) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal 1 binary32))) (PI.f32))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r))
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 (.f32 #s(literal 1/18 binary32) (.f32 r r)) (.f32 s s))) (/.f32 (.f32 s r) #s(literal 1/8 binary32))) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (*.f32 s s)))) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 (/.f32 (.f32 #s(literal 1/18 binary32) (.f32 r r)) s) s))) (PI.f32))
(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (/.f32 (+.f32 (.f32 s (+.f32 (.f32 s (+.f32 #s(literal -1/6 binary32) (.f32 s (/.f32 #s(literal 1/4 binary32) r)))) (.f32 r #s(literal 5/72 binary32)))) (.f32 (.f32 r r) #s(literal -1/48 binary32))) (pow.f32 s #s(literal 4 binary32))) (PI.f32))
(/.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 r s) (+.f32 #s(literal -1/3 binary32) (/.f32 (*.f32 r #s(literal 1/18 binary32)) s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) s) r) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (.f32 (.f32 r r) #s(literal -1/18 binary32)) s) (*.f32 r #s(literal 1/3 binary32))) s)))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (/.f32 (.f32 (.f32 s #s(literal 1/8 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) r)))) (.f32 s (.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (+.f32 (/.f32 (.f32 r (.f32 r #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32))) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 r #s(literal 5/72 binary32)) s)) (*.f32 s s))))) r) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)) (/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (.f32 s s)))))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) r)) (.f32 s #s(literal 1/8 binary32)))))) (.f32 s (.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (/.f32 (.f32 (+.f32 r (/.f32 r (exp.f32 (/.f32 r s)))) (.f32 s #s(literal 1/8 binary32))) (.f32 r r))))) (.f32 s (*.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (+.f32 (.f32 r (+.f32 (.f32 #s(literal -7/324 binary32) (/.f32 r (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s s))))) (/.f32 #s(literal -1/6 binary32) (.f32 s s))))) r) (PI.f32))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) (/.f32 (+.f32 (*.f32 #s(literal 1/144 binary32) (/.f32 (/.f32 r s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) s)) s))
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 r #s(literal 1/3 binary32)) (/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/162 binary32) (.f32 r (.f32 r r))) s) (.f32 r (.f32 r #s(literal 1/18 binary32)))) s)) s))) (/.f32 (*.f32 r s) #s(literal 1/8 binary32))) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 r #s(literal 1/3 binary32)) (/.f32 (+.f32 (.f32 (.f32 r (/.f32 (.f32 r r) s)) #s(literal -1/162 binary32)) (.f32 r (.f32 r #s(literal 1/18 binary32)))) s)) s)))) (PI.f32))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (+.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32)) (.f32 (/.f32 (/.f32 (*.f32 r r) s) (PI.f32)) #s(literal 1/1296 binary32))) s)) s) (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r)) s))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (.f32 (.f32 r r) #s(literal -1/1296 binary32)) (.f32 s (.f32 (PI.f32) (.f32 s s)))) (+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) (/.f32 (+.f32 (.f32 #s(literal 1/144 binary32) (/.f32 (/.f32 r s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) s))) s))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) (expm1.f32 (log1p.f32 (PI.f32))))
(exp.f32 (.f32 (log.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) (.f32 s r)))) #s(literal -1 binary32)))
(/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (.f32 s r) #s(literal 1/8 binary32))) #s(literal -1 binary32))) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 s r)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (*.f32 s (PI.f32))))

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

Calls

2 calls:

46.0ms	r
36.0ms	s

Results

Accuracy	Segments	Branch
99.6%	1	`r`
99.6%	1	`s`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes72.0ms (0.5%)

Counts

106 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(/.f32 #s(literal 1/8 binary32) (.f32 (.f32 s r) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))
(/.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 s r))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) (PI.f32))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r)
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) s) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) r) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s)
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r)
(*.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 #s(literal 1 binary32) r) (PI.f32)))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (.f32 s r)))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (.f32 s r)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) (*.f32 s r))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 r (PI.f32)) (/.f32 #s(literal 1/4 binary32) s)))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 #s(literal 1 binary32) r)) (PI.f32))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32))) r)
(/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32))) r)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 r (/.f32 #s(literal 1/4 binary32) s)))
(.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (.f32 (/.f32 (/.f32 r (.f32 s s)) s) #s(literal 1/144 binary32)) (PI.f32))
(/.f32 (/.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (*.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal -1/6 binary32) s)) s) (PI.f32))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s)
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 r #s(literal -1/6 binary32)) s)) s) r) (PI.f32))
(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/4 binary32) (.f32 r (PI.f32)))) (neg.f32 s))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 r s) #s(literal -4/3 binary32)))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 s #s(literal -1/24 binary32)) (.f32 r #s(literal 1/144 binary32))) (.f32 s (.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s s)))) r) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s s)))) r) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 r (/.f32 (*.f32 s s) #s(literal -1/6 binary32)))) (PI.f32)) r)
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s s))) (PI.f32)) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32))) r)
(/.f32 (+.f32 (/.f32 (.f32 s #s(literal -1/24 binary32)) (PI.f32)) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s (.f32 s s)))
(/.f32 (/.f32 (.f32 r (+.f32 #s(literal 1/144 binary32) (.f32 (/.f32 s r) #s(literal -1/24 binary32)))) (.f32 s (.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 r #s(literal 5/72 binary32)) s)) s)) s) (PI.f32))
(/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 r #s(literal -5/72 binary32)) s)) s)) s) (PI.f32))
(/.f32 (.f32 r (-.f32 (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s s))) (/.f32 (/.f32 #s(literal 1/24 binary32) (.f32 s s)) r))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 r #s(literal 5/9 binary32))) s)) s)) s) (PI.f32))
(.f32 r (+.f32 (/.f32 (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s s))) (PI.f32)) (/.f32 #s(literal -1/24 binary32) (.f32 r (.f32 (.f32 s s) (PI.f32))))))
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (/.f32 (+.f32 (*.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s)
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (.f32 s (/.f32 #s(literal 1/4 binary32) r))))) (.f32 s (*.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 r #s(literal 1/4 binary32)))))) s) (.f32 (PI.f32) (.f32 s s)))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 r #s(literal 1/4 binary32)))))) (PI.f32)) (.f32 s (.f32 s s)))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 r #s(literal 5/72 binary32)) s)) (*.f32 s s)))) r) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 r #s(literal 5/72 binary32)) s)) s) s))) r) (PI.f32))
(/.f32 (.f32 r (+.f32 (/.f32 (/.f32 #s(literal 5/72 binary32) s) (.f32 s s)) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal -1/6 binary32) s)) s) r))) (PI.f32))
(/.f32 (.f32 r (+.f32 (/.f32 (/.f32 #s(literal 5/72 binary32) (.f32 s s)) s) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal -1/6 binary32) s)) s) r))) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (.f32 r #s(literal 4/3 binary32)) (.f32 (/.f32 (*.f32 r r) s) #s(literal -5/9 binary32))) s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (/.f32 r (.f32 s #s(literal 1/4 binary32))))))) (.f32 s (*.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (/.f32 (.f32 s (+.f32 (.f32 s #s(literal 1/4 binary32)) (.f32 r #s(literal -1/6 binary32)))) r)) (.f32 s (.f32 s s))) (PI.f32))
(/.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (-.f32 #s(literal 1/6 binary32) (/.f32 (.f32 r (+.f32 #s(literal 5/72 binary32) (/.f32 (.f32 r #s(literal -1/48 binary32)) s))) s)) s)) (neg.f32 s))) (PI.f32))
(/.f32 (+.f32 (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32)) (.f32 s (+.f32 (/.f32 (.f32 s (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))))) (.f32 s (*.f32 s s)))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (+.f32 (.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (.f32 s s)) s)) (/.f32 #s(literal -1/6 binary32) (.f32 s s))))) r) (PI.f32))
(/.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (.f32 (/.f32 (*.f32 r r) s) #s(literal 1/48 binary32))) s)) s)) s)) (PI.f32))
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (/.f32 #s(literal 1/48 binary32) (/.f32 s (.f32 r r)))) s)) s)) (*.f32 (PI.f32) (neg.f32 s)))
(/.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (.f32 #s(literal 1/8 binary32) (/.f32 (.f32 (.f32 r r) #s(literal 14/81 binary32)) s))) s)) s) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))
(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (.f32 s r)) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (/.f32 #s(literal 1/48 binary32) (/.f32 s (.f32 r r)))) s)) (.f32 s s)))) (PI.f32))
(/.f32 (.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (/.f32 #s(literal 1/48 binary32) (/.f32 s (*.f32 r r)))) s)) s)) (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 s))
(/.f32 (neg.f32 (/.f32 (/.f32 (/.f32 (-.f32 (.f32 s #s(literal -1/4 binary32)) (.f32 r (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (/.f32 #s(literal 1/48 binary32) (/.f32 s (.f32 r r)))) s)))) r) s) s)) (PI.f32))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (+.f32 (/.f32 (.f32 r #s(literal -5/72 binary32)) (PI.f32)) (.f32 #s(literal 7/324 binary32) (/.f32 (/.f32 (*.f32 r r) s) (PI.f32)))) s)) s) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32))) s)
(/.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/8 binary32) (/.f32 (.f32 r #s(literal 5/9 binary32)) s))) s)) (.f32 (/.f32 (.f32 r (/.f32 r (*.f32 s s))) s) #s(literal -1/48 binary32))) s) (PI.f32))
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (+.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32)) (.f32 #s(literal 1/48 binary32) (.f32 r (/.f32 (/.f32 r s) (PI.f32))))) s)) s)) (neg.f32 s))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 r #s(literal 4/3 binary32)) (/.f32 (+.f32 (.f32 r (.f32 r #s(literal 5/9 binary32))) (/.f32 (.f32 (.f32 r (.f32 r r)) #s(literal -1/6 binary32)) s)) s)) s))) (PI.f32))
(/.f32 (neg.f32 (/.f32 (.f32 (.f32 r r) (-.f32 (/.f32 #s(literal 1/48 binary32) (.f32 s (.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s s)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/4 binary32) r)) r)) r))) s)) (PI.f32))
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (PI.f32))) (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 (+.f32 (/.f32 (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s))) s)
(/.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (.f32 (/.f32 (/.f32 (/.f32 r s) (PI.f32)) s) #s(literal 5/72 binary32))) (+.f32 (.f32 (/.f32 (.f32 r r) (.f32 s (.f32 (PI.f32) (.f32 s s)))) #s(literal -7/324 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (/.f32 (+.f32 (.f32 s #s(literal 1/4 binary32)) (.f32 r (+.f32 #s(literal -1/8 binary32) (.f32 r (+.f32 (.f32 (/.f32 r (.f32 s s)) #s(literal -1/48 binary32)) (/.f32 #s(literal 1/16 binary32) s)))))) r)))) (.f32 s (*.f32 s s))) (PI.f32))
(*.f32 (pow.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) s)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) r))
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32)) (/.f32 (*.f32 r s) #s(literal 1/8 binary32))) (PI.f32))
(/.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) r) s) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal 1 binary32))) (PI.f32))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r))
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 (.f32 #s(literal 1/18 binary32) (.f32 r r)) (.f32 s s))) (/.f32 (.f32 s r) #s(literal 1/8 binary32))) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (*.f32 s s)))) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 (/.f32 (.f32 #s(literal 1/18 binary32) (.f32 r r)) s) s))) (PI.f32))
(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (/.f32 (+.f32 (.f32 s (+.f32 (.f32 s (+.f32 #s(literal -1/6 binary32) (.f32 s (/.f32 #s(literal 1/4 binary32) r)))) (.f32 r #s(literal 5/72 binary32)))) (.f32 (.f32 r r) #s(literal -1/48 binary32))) (pow.f32 s #s(literal 4 binary32))) (PI.f32))
(/.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 r s) (+.f32 #s(literal -1/3 binary32) (/.f32 (*.f32 r #s(literal 1/18 binary32)) s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) s) r) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (.f32 (.f32 r r) #s(literal -1/18 binary32)) s) (*.f32 r #s(literal 1/3 binary32))) s)))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (/.f32 (.f32 (.f32 s #s(literal 1/8 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) r)))) (.f32 s (.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (+.f32 (/.f32 (.f32 r (.f32 r #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32))) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 r #s(literal 5/72 binary32)) s)) (*.f32 s s))))) r) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)) (/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (.f32 s s)))))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) r)) (.f32 s #s(literal 1/8 binary32)))))) (.f32 s (.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (/.f32 (.f32 (+.f32 r (/.f32 r (exp.f32 (/.f32 r s)))) (.f32 s #s(literal 1/8 binary32))) (.f32 r r))))) (.f32 s (*.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (+.f32 (.f32 r (+.f32 (.f32 #s(literal -7/324 binary32) (/.f32 r (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s s))))) (/.f32 #s(literal -1/6 binary32) (.f32 s s))))) r) (PI.f32))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) (/.f32 (+.f32 (*.f32 #s(literal 1/144 binary32) (/.f32 (/.f32 r s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) s)) s))
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 r #s(literal 1/3 binary32)) (/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/162 binary32) (.f32 r (.f32 r r))) s) (.f32 r (.f32 r #s(literal 1/18 binary32)))) s)) s))) (/.f32 (*.f32 r s) #s(literal 1/8 binary32))) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 r #s(literal 1/3 binary32)) (/.f32 (+.f32 (.f32 (.f32 r (/.f32 (.f32 r r) s)) #s(literal -1/162 binary32)) (.f32 r (.f32 r #s(literal 1/18 binary32)))) s)) s)))) (PI.f32))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (+.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32)) (.f32 (/.f32 (/.f32 (*.f32 r r) s) (PI.f32)) #s(literal 1/1296 binary32))) s)) s) (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r)) s))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (.f32 (.f32 r r) #s(literal -1/1296 binary32)) (.f32 s (.f32 (PI.f32) (.f32 s s)))) (+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) (/.f32 (+.f32 (.f32 #s(literal 1/144 binary32) (/.f32 (/.f32 r s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) s))) s))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) (expm1.f32 (log1p.f32 (PI.f32))))
(exp.f32 (.f32 (log.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) (.f32 s r)))) #s(literal -1 binary32)))
(/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (.f32 s r) #s(literal 1/8 binary32))) #s(literal -1 binary32))) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 s r)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))

Outputs

(/.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 r s) (+.f32 #s(literal -1/3 binary32) (/.f32 (*.f32 r #s(literal 1/18 binary32)) s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) s) r) (PI.f32))

Calls

2 calls:

29.0ms	r
29.0ms	s

Results

Accuracy	Segments	Branch
9.6%	1	`s`
9.6%	1	`r`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes83.0ms (0.6%)

Counts

88 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(/.f32 #s(literal 1/8 binary32) (.f32 (.f32 s r) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))
(/.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 s r))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) (PI.f32))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r)
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) s) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) r) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s)
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r)
(*.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 #s(literal 1 binary32) r) (PI.f32)))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (.f32 s r)))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (.f32 s r)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) (*.f32 s r))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 r (PI.f32)) (/.f32 #s(literal 1/4 binary32) s)))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 #s(literal 1 binary32) r)) (PI.f32))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32))) r)
(/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32))) r)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 r (/.f32 #s(literal 1/4 binary32) s)))
(.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (.f32 (/.f32 (/.f32 r (.f32 s s)) s) #s(literal 1/144 binary32)) (PI.f32))
(/.f32 (/.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (*.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal -1/6 binary32) s)) s) (PI.f32))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s)
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 r #s(literal -1/6 binary32)) s)) s) r) (PI.f32))
(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/4 binary32) (.f32 r (PI.f32)))) (neg.f32 s))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 r s) #s(literal -4/3 binary32)))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 s #s(literal -1/24 binary32)) (.f32 r #s(literal 1/144 binary32))) (.f32 s (.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s s)))) r) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s s)))) r) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 r (/.f32 (*.f32 s s) #s(literal -1/6 binary32)))) (PI.f32)) r)
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s s))) (PI.f32)) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32))) r)
(/.f32 (+.f32 (/.f32 (.f32 s #s(literal -1/24 binary32)) (PI.f32)) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s (.f32 s s)))
(/.f32 (/.f32 (.f32 r (+.f32 #s(literal 1/144 binary32) (.f32 (/.f32 s r) #s(literal -1/24 binary32)))) (.f32 s (.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 r #s(literal 5/72 binary32)) s)) s)) s) (PI.f32))
(/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 r #s(literal -5/72 binary32)) s)) s)) s) (PI.f32))
(/.f32 (.f32 r (-.f32 (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s s))) (/.f32 (/.f32 #s(literal 1/24 binary32) (.f32 s s)) r))) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 r #s(literal 5/9 binary32))) s)) s)) s) (PI.f32))
(.f32 r (+.f32 (/.f32 (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s s))) (PI.f32)) (/.f32 #s(literal -1/24 binary32) (.f32 r (.f32 (.f32 s s) (PI.f32))))))
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (/.f32 (+.f32 (*.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s)
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (.f32 s (/.f32 #s(literal 1/4 binary32) r))))) (.f32 s (*.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 r #s(literal 1/4 binary32)))))) s) (.f32 (PI.f32) (.f32 s s)))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (/.f32 s (/.f32 r #s(literal 1/4 binary32)))))) (PI.f32)) (.f32 s (.f32 s s)))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 r #s(literal 5/72 binary32)) s)) (*.f32 s s)))) r) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (/.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (.f32 r #s(literal 5/72 binary32)) s)) s) s))) r) (PI.f32))
(/.f32 (.f32 r (+.f32 (/.f32 (/.f32 #s(literal 5/72 binary32) s) (.f32 s s)) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal -1/6 binary32) s)) s) r))) (PI.f32))
(/.f32 (.f32 r (+.f32 (/.f32 (/.f32 #s(literal 5/72 binary32) (.f32 s s)) s) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal -1/6 binary32) s)) s) r))) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (.f32 r #s(literal 4/3 binary32)) (.f32 (/.f32 (*.f32 r r) s) #s(literal -5/9 binary32))) s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (/.f32 r (.f32 s #s(literal 1/4 binary32))))))) (.f32 s (*.f32 s s))) (PI.f32))
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 5/72 binary32)) (/.f32 (.f32 s (+.f32 (.f32 s #s(literal 1/4 binary32)) (.f32 r #s(literal -1/6 binary32)))) r)) (.f32 s (.f32 s s))) (PI.f32))
(/.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (-.f32 #s(literal 1/6 binary32) (/.f32 (.f32 r (+.f32 #s(literal 5/72 binary32) (/.f32 (.f32 r #s(literal -1/48 binary32)) s))) s)) s)) (neg.f32 s))) (PI.f32))
(/.f32 (+.f32 (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32)) (.f32 s (+.f32 (/.f32 (.f32 s (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))))) (.f32 s (*.f32 s s)))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) s) (.f32 r (+.f32 (.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (.f32 s s)) s)) (/.f32 #s(literal -1/6 binary32) (.f32 s s))))) r) (PI.f32))
(/.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (.f32 (/.f32 (*.f32 r r) s) #s(literal 1/48 binary32))) s)) s)) s)) (PI.f32))
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (/.f32 #s(literal 1/48 binary32) (/.f32 s (.f32 r r)))) s)) s)) (*.f32 (PI.f32) (neg.f32 s)))
(/.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (.f32 #s(literal 1/8 binary32) (/.f32 (.f32 (.f32 r r) #s(literal 14/81 binary32)) s))) s)) s) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))
(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (.f32 s r)) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (/.f32 #s(literal 1/48 binary32) (/.f32 s (.f32 r r)))) s)) (.f32 s s)))) (PI.f32))
(/.f32 (.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) r) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (/.f32 #s(literal 1/48 binary32) (/.f32 s (*.f32 r r)))) s)) s)) (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 s))
(/.f32 (neg.f32 (/.f32 (/.f32 (/.f32 (-.f32 (.f32 s #s(literal -1/4 binary32)) (.f32 r (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (.f32 r #s(literal -5/72 binary32)) (/.f32 #s(literal 1/48 binary32) (/.f32 s (.f32 r r)))) s)))) r) s) s)) (PI.f32))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (+.f32 (/.f32 (.f32 r #s(literal -5/72 binary32)) (PI.f32)) (.f32 #s(literal 7/324 binary32) (/.f32 (/.f32 (*.f32 r r) s) (PI.f32)))) s)) s) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32))) s)
(/.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/8 binary32) (/.f32 (.f32 r #s(literal 5/9 binary32)) s))) s)) (.f32 (/.f32 (.f32 r (/.f32 r (*.f32 s s))) s) #s(literal -1/48 binary32))) s) (PI.f32))
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (+.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32)) (.f32 #s(literal 1/48 binary32) (.f32 r (/.f32 (/.f32 r s) (PI.f32))))) s)) s)) (neg.f32 s))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 r #s(literal 4/3 binary32)) (/.f32 (+.f32 (.f32 r (.f32 r #s(literal 5/9 binary32))) (/.f32 (.f32 (.f32 r (.f32 r r)) #s(literal -1/6 binary32)) s)) s)) s))) (PI.f32))
(/.f32 (neg.f32 (/.f32 (.f32 (.f32 r r) (-.f32 (/.f32 #s(literal 1/48 binary32) (.f32 s (.f32 s s))) (/.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s s)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal -1/4 binary32) r)) r)) r))) s)) (PI.f32))
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (PI.f32))) (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 (+.f32 (/.f32 (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s))) s)
(/.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (.f32 (/.f32 (/.f32 (/.f32 r s) (PI.f32)) s) #s(literal 5/72 binary32))) (+.f32 (.f32 (/.f32 (.f32 r r) (.f32 s (.f32 (PI.f32) (.f32 s s)))) #s(literal -7/324 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (/.f32 (+.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (+.f32 #s(literal -1/24 binary32) (/.f32 (+.f32 (.f32 s #s(literal 1/4 binary32)) (.f32 r (+.f32 #s(literal -1/8 binary32) (.f32 r (+.f32 (.f32 (/.f32 r (.f32 s s)) #s(literal -1/48 binary32)) (/.f32 #s(literal 1/16 binary32) s)))))) r)))) (.f32 s (*.f32 s s))) (PI.f32))
(*.f32 (pow.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) s)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) r))
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32)) (/.f32 (*.f32 r s) #s(literal 1/8 binary32))) (PI.f32))
(/.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) r) s) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal 1 binary32))) (PI.f32))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r))
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 (.f32 #s(literal 1/18 binary32) (.f32 r r)) (.f32 s s))) (/.f32 (.f32 s r) #s(literal 1/8 binary32))) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 (.f32 r (.f32 r #s(literal 1/18 binary32))) (*.f32 s s)))) (PI.f32))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r s)) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 (/.f32 (.f32 #s(literal 1/18 binary32) (.f32 r r)) s) s))) (PI.f32))
(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (/.f32 (+.f32 (.f32 s (+.f32 (.f32 s (+.f32 #s(literal -1/6 binary32) (.f32 s (/.f32 #s(literal 1/4 binary32) r)))) (.f32 r #s(literal 5/72 binary32)))) (.f32 (.f32 r r) #s(literal -1/48 binary32))) (pow.f32 s #s(literal 4 binary32))) (PI.f32))

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

Calls

2 calls:

43.0ms	r
34.0ms	s

Results

Accuracy	Segments	Branch
9.0%	1	`s`
9.0%	1	`r`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes27.0ms (0.2%)

Counts

45 → 1

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	s
12.0ms	r

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	r
3.0ms	s

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(/.f32 #s(literal 1/8 binary32) (.f32 (.f32 s r) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))

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

Calls

2 calls:

2.0ms	s
2.0ms	r

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(/.f32 #s(literal 1/8 binary32) (.f32 (.f32 s r) (PI.f32)))

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

Calls

2 calls:

3.0ms	s
1.0ms	r

Results

Accuracy	Segments	Branch
6.6%	1	`s`
6.6%	1	`r`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))

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

Calls

2 calls:

1.0ms	r
1.0ms	s

Results

Accuracy	Segments	Branch
6.6%	1	`s`
6.6%	1	`r`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	139
1	96	139
2	102	139
3	106	139
4	108	139
5	109	139

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (/.f32 (*.f32 r s) #s(literal 1/8 binary32))) (PI.f32))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))))) (.f32 (*.f32 r s) (PI.f32)))
(.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (*.f32 s (PI.f32))))
(/.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 r s) (+.f32 #s(literal -1/3 binary32) (/.f32 (*.f32 r #s(literal 1/18 binary32)) s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) s) r) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 r #s(literal 5/72 binary32)) s)) s)) s) (PI.f32))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
(/.f32 #s(literal 1/8 binary32) (.f32 (.f32 s r) (PI.f32)))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))

Outputs
(/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (/.f32 (*.f32 r s) #s(literal 1/8 binary32))) (PI.f32))
(/.f32 (/.f32 (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (/.f32 (*.f32 r s) #s(literal 1/8 binary32))) (PI.f32))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))))) (.f32 (*.f32 r s) (PI.f32)))
(/.f32 (.f32 (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) #s(literal 1/8 binary32)) (.f32 (*.f32 r s) (PI.f32)))
(.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))) r) (*.f32 s (PI.f32))))
(.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) r) (*.f32 s (PI.f32))))
(/.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 r s) (+.f32 #s(literal -1/3 binary32) (/.f32 (*.f32 r #s(literal 1/18 binary32)) s))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) s) r) (PI.f32))
(/.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 (/.f32 r s) (+.f32 #s(literal -1/3 binary32) (/.f32 (*.f32 r #s(literal 1/18 binary32)) s)))))) s) r) (PI.f32))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 r #s(literal 5/72 binary32)) s)) s)) s) (PI.f32))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
(/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 r (PI.f32))))
(/.f32 #s(literal 1/8 binary32) (.f32 (.f32 s r) (PI.f32)))
(/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r s) (PI.f32)))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))

soundness3.5s (23.4%)

Rules

5370×	`-lowering-.f32`
5370×	`-lowering-.f64`
4550×	`-lowering-.f32`
4550×	`-lowering-.f64`
4448×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	307
1	368	284
2	4192	278
0	8163	278
0	51	194
1	333	186
2	3105	184
0	9157	184
0	25	33
1	65	27
2	239	22
3	898	20
4	2514	20
5	3344	20
6	4052	20
7	5402	20
8	5849	20
9	6026	20
10	6938	20
11	7175	20
12	7204	20
13	7415	20
14	7494	20
15	7654	20
16	7654	20
0	8094	20
0	57	284
1	387	276
2	3845	274
0	8446	274
0	450	3487
1	1492	3351
2	4262	3287
0	8168	3287
0	588	6361
1	1903	5914
2	5484	5838
0	8062	5838
0	38	155
1	216	141
2	2276	141
0	8442	141
0	454	4219
1	1509	3983
2	4204	3924
0	8726	3924
0	777	5743
1	2680	5312
2	7933	5306
0	8185	5306

Stop Event

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

Compiler

Compiled 445 to 279 computations (37.3% saved)

preprocess63.0ms (0.4%)

Compiler: Compiled 360 to 170 computations (52.8% saved)

analyze106.0ms (0.7%)

sample2.6s (17.6%)

preprocess350.0ms (2.3%)

explain254.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify244.0ms (1.6%)

localize197.0ms (1.3%)

series48.0ms (0.3%)

rewrite386.0ms (2.6%)

simplify345.0ms (2.3%)

eval158.0ms (1.1%)

prune159.0ms (1.1%)

simplify211.0ms (1.4%)

localize443.0ms (3%)

series54.0ms (0.4%)

rewrite437.0ms (2.9%)

simplify339.0ms (2.3%)

eval218.0ms (1.5%)

prune337.0ms (2.3%)

simplify169.0ms (1.1%)

localize302.0ms (2%)

series39.0ms (0.3%)

rewrite389.0ms (2.6%)

simplify333.0ms (2.2%)

eval170.0ms (1.1%)

prune216.0ms (1.4%)

simplify253.0ms (1.7%)

localize415.0ms (2.8%)

series53.0ms (0.4%)

rewrite458.0ms (3.1%)

simplify423.0ms (2.8%)

eval161.0ms (1.1%)

prune269.0ms (1.8%)

regimes159.0ms (1.1%)

regimes353.0ms (2.4%)

regimes107.0ms (0.7%)

regimes72.0ms (0.5%)

regimes83.0ms (0.6%)

regimes27.0ms (0.2%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes5.0ms (0%)

regimes3.0ms (0%)

simplify11.0ms (0.1%)

soundness3.5s (23.4%)

preprocess63.0ms (0.4%)

end0.0ms (0%)

Profiling