Details

analyze184.0ms (1.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
15.6%	15.6%	84.3%	0.1%	0%	0%	0%	6
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	7
46.9%	46.8%	53.1%	0.1%	0%	0%	0%	8
59.2%	57.8%	39.8%	0.1%	2.3%	0%	0%	9
68%	64.6%	30.4%	0.1%	4.9%	0%	0%	10
78%	71.8%	20.3%	0.1%	7.8%	0%	0%	11
82.1%	74.1%	16.2%	0.1%	9.6%	0%	0%	12

Compiler

Compiled 24 to 18 computations (25% saved)

sample1.4s (10.9%)

Results

1.3s	8256×	body	256	valid
98.0ms	686×	body	256	infinite

Bogosity

preprocess61.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

1274×	`distribute-lft-in`
1272×	`associate-/r*`
970×	`associate-+r-`
964×	`*-commutative`
936×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	126
1	64	114
2	190	114
3	785	114
4	2948	106
5	7760	106
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 a a) (*.f64 b b)))) (-.f64 (/.f64 1 b) (/.f64 1 a)))

Outputs
(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(.f64 (/.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 b b) (*.f64 a a))) (+.f64 (/.f64 1 a) (/.f64 -1 b)))
(.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (-.f64 (.f64 b b) (*.f64 a a))))
(*.f64 (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) 2) (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) 2) (-.f64 (.f64 b b) (.f64 a a)))
(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 a a) (.f64 b b)))) (-.f64 (/.f64 1 b) (/.f64 1 a)))
(.f64 (/.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 a a) (*.f64 b b))) (+.f64 (/.f64 1 b) (/.f64 -1 a)))
(.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 (/.f64 1 b) (/.f64 -1 a)) (-.f64 (.f64 a a) (*.f64 b b))))
(.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 (/.f64 -1 a) (/.f64 -1 b)) (-.f64 (.f64 a a) (*.f64 b b))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (-.f64 (.f64 a a) (.f64 b b))) 2)

Compiler

Compiled 25 to 19 computations (24% saved)

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1242×	`associate-/l*`
702×	`associate-/r*`
676×	`distribute-rgt-neg-out`
668×	`distribute-frac-neg`
612×	`distribute-lft-neg-out`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	63
1	41	57
2	107	57
3	419	57
4	1535	55
5	5204	55

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

Outputs
(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(.f64 (/.f64 (PI.f64) 2) (.f64 (/.f64 1 (-.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b))))
(.f64 (/.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 b b) (*.f64 a a))) (+.f64 (/.f64 1 a) (/.f64 -1 b)))
(.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 (.f64 b b) (*.f64 a a))) 1/2)
(/.f64 (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (+.f64 b a)) (-.f64 b a))

eval2.0ms (0%)

Compiler: Compiled 118 to 62 computations (47.5% saved)

prune7.0ms (0.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Kept	Total
New	6	6
Fresh	1	1
Picked	0	0
Done	0	0
Total	7	7

Error

0.56%

Counts

7 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.79%	(/.f64 (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (+.f64 b a)) (-.f64 b a))
	22.25%	(.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 (.f64 b b) (*.f64 a a))) 1/2)
▶	22.24%	(.f64 (/.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 b b) (*.f64 a a))) (+.f64 (/.f64 1 a) (/.f64 -1 b)))
▶	22.26%	(.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (*.f64 a a))))
▶	22.34%	(.f64 (/.f64 (PI.f64) 2) (.f64 (/.f64 1 (-.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b))))
▶	22.29%	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

Compiler

Compiled 256 to 180 computations (29.7% saved)

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.22%	(/.f64 (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (+.f64 b a)) (-.f64 b a))
✓	0.27%	(fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))
✓	0.37%	(/.f64 (PI.f64) a)
✓	0.66%	(/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (+.f64 b a))

Compiler

Compiled 69 to 31 computations (55.1% saved)

series20.0ms (0.2%)

Counts

4 → 72

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (+.f64 b a))
2.0ms	a	@	0	(/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (+.f64 b a))
2.0ms	a	@	inf	(/.f64 (PI.f64) a)
2.0ms	b	@	inf	(/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (+.f64 b a))
2.0ms	a	@	inf	(/.f64 (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (+.f64 b a)) (-.f64 b a))

rewrite125.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1306×	`distribute-rgt-in`
1252×	`distribute-lft-in`
398×	`add-sqr-sqrt`
386×	`pow1`
386×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	132
1	386	132
2	5520	132

Stop Event

1×	node limit

Counts

4 → 174

Calls

Call 1

Inputs
(/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (+.f64 b a))
(/.f64 (PI.f64) a)
(fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))
(/.f64 (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (+.f64 b a)) (-.f64 b a))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a))) (.f64 (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a))) (fma.f64 (neg.f64 a) 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a))) (.f64 (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a))) (fma.f64 (neg.f64 (sqrt.f64 a)) (sqrt.f64 a) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a))) (.f64 (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a))) (fma.f64 (neg.f64 (cbrt.f64 a)) (pow.f64 (cbrt.f64 a) 2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b 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(-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2) (+.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 a (-.f64 a b))) (.f64 (/.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2) (+.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))) (.f64 (neg.f64 a) (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))) (.f64 (.f64 (neg.f64 a) 1) (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 a) (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 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simplify132.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1718×	`associate-r`
1218×	`associate-/l*`
902×	`*-commutative`
710×	`associate-*r/`
518×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	642	15264
1	2023	14582

Stop Event

1×	node limit

Counts

246 → 345

Calls

Call 1

Inputs
(.f64 -1/2 (/.f64 (PI.f64) (.f64 a b)))
(+.f64 (.f64 1/2 (-.f64 (/.f64 (PI.f64) (pow.f64 a 2)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))) (.f64 -1/2 (/.f64 (PI.f64) (.f64 a b))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (pow.f64 a 3))) b)) (+.f64 (.f64 1/2 (-.f64 (/.f64 (PI.f64) (pow.f64 a 2)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))) (.f64 -1/2 (/.f64 (PI.f64) (*.f64 a b)))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (pow.f64 a 3))) b)) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 (PI.f64) (pow.f64 a 4)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 4)))) (pow.f64 b 2))) (+.f64 (.f64 1/2 (-.f64 (/.f64 (PI.f64) (pow.f64 a 2)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))) (.f64 -1/2 (/.f64 (PI.f64) (.f64 a b))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a b))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (PI.f64)) (pow.f64 b 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (-.f64 (.f64 -1 (PI.f64)) (PI.f64))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a b))) (.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (PI.f64)) (PI.f64)) (pow.f64 b 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (-.f64 (.f64 -1 (PI.f64)) (PI.f64))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a b))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (PI.f64)) (pow.f64 b 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (-.f64 (.f64 -1 (PI.f64)) (PI.f64))) (pow.f64 b 4))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a b))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (PI.f64)) (pow.f64 b 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (-.f64 (.f64 -1 (PI.f64)) (PI.f64))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a b))) (.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (PI.f64)) (PI.f64)) (pow.f64 b 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (-.f64 (.f64 -1 (PI.f64)) (PI.f64))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a b))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (PI.f64)) (pow.f64 b 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (-.f64 (.f64 -1 (PI.f64)) (PI.f64))) (pow.f64 b 4))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
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(+.f64 (.f64 b (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a))) (-.f64 (.f64 b b) (.f64 a a)))) (.f64 a (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a))) (-.f64 (.f64 b b) (.f64 a a)))))
(+.f64 (.f64 a (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a))) (-.f64 (.f64 b b) (.f64 a a)))) (.f64 b (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a))) (-.f64 (.f64 b b) (.f64 a a)))))
(+.f64 (.f64 (.f64 b b) (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a))) (-.f64 (pow.f64 b 3) (pow.f64 a 3)))) (.f64 (.f64 a (+.f64 b a)) (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a))) (-.f64 (pow.f64 b 3) (pow.f64 a 3)))))
(+.f64 (.f64 (.f64 a (+.f64 b a)) (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a))) (-.f64 (pow.f64 b 3) (pow.f64 a 3)))) (.f64 (.f64 b b) (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a))) (-.f64 (pow.f64 b 3) (pow.f64 a 3)))))
(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a))) (-.f64 (pow.f64 b 3) (pow.f64 a 3)))) (.f64 (.f64 b a) (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 2 (+.f64 b a))) (-.f64 (pow.f64 b 3) (pow.f64 a 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a))))) 1)
(.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2) (*.f64 (/.f64 1 (+.f64 b a)) (/.f64 1 (-.f64 b a))))
(.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a))))
(.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a))) (/.f64 1 (-.f64 b a)))
(.f64 (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a))) 1)
(.f64 1 (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a)))) (.f64 (sqrt.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a)))) (/.f64 1 (-.f64 b a))))
(.f64 (sqrt.f64 (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))) (sqrt.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a)))) 2) (.f64 (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a)))) (/.f64 1 (-.f64 b a))))
(.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 2) (cbrt.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))))
(.f64 (/.f64 1 (-.f64 b a)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a))))
(.f64 (/.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) -1/2) (+.f64 b a)) (/.f64 1 (+.f64 (neg.f64 b) a)))
(.f64 (/.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2) 1) (/.f64 (/.f64 1 (+.f64 b a)) (-.f64 b a)))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 b a))) (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a))) (sqrt.f64 (-.f64 b a))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 b a)) 2)) (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a))) (cbrt.f64 (-.f64 b a))))
(.f64 (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a))) (-.f64 (.f64 b b) (.f64 a a))) (+.f64 b a))
(.f64 (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a))) (-.f64 (pow.f64 b 3) (pow.f64 a 3))) (fma.f64 b b (*.f64 a (+.f64 b a))))
(*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))
(.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2)) (-.f64 b a)) (/.f64 (sqrt.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2)) (+.f64 b a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2)) 2) (-.f64 b a)) (/.f64 (cbrt.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2)) (+.f64 b a)))
(.f64 (/.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2) (sqrt.f64 (-.f64 b a))) (/.f64 (/.f64 1 (+.f64 b a)) (sqrt.f64 (-.f64 b a))))
(.f64 (/.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2) (pow.f64 (cbrt.f64 (-.f64 b a)) 2)) (/.f64 (/.f64 1 (+.f64 b a)) (cbrt.f64 (-.f64 b a))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a)))) 1) (/.f64 (sqrt.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 2 (+.f64 b a)))) (-.f64 b a)))
(.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a)))) (pow.f64 (cbrt.f64 (-.f64 b a)) 2)) (/.f64 (sqrt.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 2 (+.f64 b a)))) (cbrt.f64 (-.f64 b a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 2 (+.f64 b a)))) (-.f64 b a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a)))) 2) (sqrt.f64 (-.f64 b a))) (/.f64 (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 2 (+.f64 b a)))) (sqrt.f64 (-.f64 b a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 b a)))) 2) (pow.f64 (cbrt.f64 (-.f64 b a)) 2)) (cbrt.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))))
(pow.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a))) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a))) 3) 1/3)
(pow.f64 (.f64 (-.f64 b a) (.f64 (+.f64 b a) (/.f64 2 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))))) -1)
(neg.f64 (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 2 (+.f64 b a))) (+.f64 (neg.f64 b) a)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 2 (+.f64 b a))) 3) (pow.f64 (-.f64 b a) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))))
(exp.f64 (log.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))))

Outputs
(.f64 -1/2 (/.f64 (PI.f64) (.f64 a b)))
(/.f64 (.f64 -1/2 (PI.f64)) (.f64 a b))
(+.f64 (.f64 1/2 (-.f64 (/.f64 (PI.f64) (pow.f64 a 2)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))) (.f64 -1/2 (/.f64 (PI.f64) (.f64 a b))))
(fma.f64 1/2 (/.f64 (-.f64 (PI.f64) (neg.f64 (PI.f64))) (.f64 a a)) (.f64 -1/2 (/.f64 (PI.f64) (*.f64 a b))))
(fma.f64 1/2 (.f64 2 (/.f64 (PI.f64) (.f64 a a))) (/.f64 (.f64 -1/2 (PI.f64)) (.f64 a b)))
(+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (pow.f64 a 3))) b)) (+.f64 (.f64 1/2 (-.f64 (/.f64 (PI.f64) (pow.f64 a 2)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))) (.f64 -1/2 (/.f64 (PI.f64) (*.f64 a b)))))
(fma.f64 1/2 (.f64 b (-.f64 (neg.f64 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (pow.f64 a 3)))) (fma.f64 1/2 (/.f64 (-.f64 (PI.f64) (neg.f64 (PI.f64))) (.f64 a a)) (.f64 -1/2 (/.f64 (PI.f64) (.f64 a b)))))
(fma.f64 1/2 (.f64 b (.f64 (/.f64 (PI.f64) (pow.f64 a 3)) -2)) (fma.f64 1/2 (.f64 2 (/.f64 (PI.f64) (.f64 a a))) (/.f64 (.f64 -1/2 (PI.f64)) (.f64 a b))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (pow.f64 a 3))) b)) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 (PI.f64) (pow.f64 a 4)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 4)))) (pow.f64 b 2))) (+.f64 (.f64 1/2 (-.f64 (/.f64 (PI.f64) (pow.f64 a 2)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))) (.f64 -1/2 (/.f64 (PI.f64) (.f64 a b))))))
(fma.f64 1/2 (.f64 b (-.f64 (neg.f64 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (pow.f64 a 3)))) (fma.f64 1/2 (.f64 (-.f64 (/.f64 (PI.f64) (pow.f64 a 4)) (neg.f64 (/.f64 (PI.f64) (pow.f64 a 4)))) (.f64 b b)) (fma.f64 1/2 (/.f64 (-.f64 (PI.f64) (neg.f64 (PI.f64))) (.f64 a a)) (.f64 -1/2 (/.f64 (PI.f64) (.f64 a b))))))
(fma.f64 1/2 (.f64 b (.f64 (/.f64 (PI.f64) (pow.f64 a 3)) -2)) (fma.f64 1/2 (.f64 (.f64 2 (/.f64 (PI.f64) (pow.f64 a 4))) (.f64 b b)) (fma.f64 1/2 (.f64 2 (/.f64 (PI.f64) (.f64 a a))) (/.f64 (.f64 -1/2 (PI.f64)) (*.f64 a b)))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 a b)) 1/2)
(+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a b))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (PI.f64)) (pow.f64 b 2))))
(.f64 1/2 (+.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) (.f64 b b)) (/.f64 (PI.f64) (*.f64 a b))))
(.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 a b)) (.f64 (/.f64 (PI.f64) (.f64 b b)) -2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (-.f64 (.f64 -1 (PI.f64)) (PI.f64))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a b))) (.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (PI.f64)) (PI.f64)) (pow.f64 b 2)))))
(fma.f64 -1/2 (/.f64 a (/.f64 (pow.f64 b 3) (-.f64 (neg.f64 (PI.f64)) (PI.f64)))) (.f64 1/2 (+.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) (.f64 b b)) (/.f64 (PI.f64) (*.f64 a b)))))
(fma.f64 -1/2 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 (PI.f64) -2)) (.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 a b)) (.f64 (/.f64 (PI.f64) (.f64 b b)) -2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (-.f64 (.f64 -1 (PI.f64)) (PI.f64))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a b))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (PI.f64)) (pow.f64 b 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (-.f64 (.f64 -1 (PI.f64)) (PI.f64))) (pow.f64 b 4))))))
(fma.f64 -1/2 (/.f64 a (/.f64 (pow.f64 b 3) (-.f64 (neg.f64 (PI.f64)) (PI.f64)))) (fma.f64 1/2 (/.f64 (PI.f64) (.f64 a b)) (.f64 1/2 (+.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) (.f64 b b)) (/.f64 (.f64 a a) (/.f64 (pow.f64 b 4) (-.f64 (neg.f64 (PI.f64)) (PI.f64))))))))
(fma.f64 -1/2 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 (PI.f64) -2)) (.f64 1/2 (+.f64 (+.f64 (.f64 (/.f64 (PI.f64) (.f64 b b)) -2) (.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) (.f64 (PI.f64) -2))) (/.f64 (PI.f64) (*.f64 a b)))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 a b)) 1/2)
(+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a b))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (PI.f64)) (pow.f64 b 2))))
(.f64 1/2 (+.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) (.f64 b b)) (/.f64 (PI.f64) (*.f64 a b))))
(.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 a b)) (.f64 (/.f64 (PI.f64) (.f64 b b)) -2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (-.f64 (.f64 -1 (PI.f64)) (PI.f64))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a b))) (.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (PI.f64)) (PI.f64)) (pow.f64 b 2)))))
(fma.f64 -1/2 (/.f64 a (/.f64 (pow.f64 b 3) (-.f64 (neg.f64 (PI.f64)) (PI.f64)))) (.f64 1/2 (+.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) (.f64 b b)) (/.f64 (PI.f64) (*.f64 a b)))))
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(.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 2)
(*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 a b)))
(.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 3)
(*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 a b)))
(.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))
(pow.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a))) 3) 1/3)
(*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 a b)))
(.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))
(pow.f64 (.f64 (-.f64 b a) (.f64 (+.f64 b a) (/.f64 2 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))))) -1)
(*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 a b)))
(.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))
(neg.f64 (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 2 (+.f64 b a))) (+.f64 (neg.f64 b) a)))
(*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 (+.f64 a b) -1/2)) (/.f64 1 (-.f64 a b)))
(/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 (+.f64 a b) -1/2)) (-.f64 a b))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 a b))) 2))
(sqrt.f64 (pow.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a)))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))))
(*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 a b)))
(.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a))))))
(*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 a b)))
(.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a))) 3))
(*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 a b)))
(.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 2 (+.f64 b a))) 3) (pow.f64 (-.f64 b a) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (+.f64 a b))) 3) (pow.f64 (-.f64 b a) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 1/2 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (+.f64 a b))) 3) (pow.f64 (-.f64 b a) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))))
(*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 a b)))
(.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))
(exp.f64 (log.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))))
(*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 a b)))
(.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 1))
(*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 a b)))
(.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))))
(*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 a b)))
(.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 (/.f64 1 a) (/.f64 -1 b))
✓	0.29%	(.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (*.f64 a a))))
✓	9.05%	(-.f64 (.f64 b b) (.f64 a a))
✓	11.99%	(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (.f64 a a)))

Compiler

Compiled 71 to 35 computations (50.7% saved)

series6.0ms (0%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (*.f64 a a))))
0.0ms	a	@	0	(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (.f64 a a)))
0.0ms	a	@	inf	(.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (*.f64 a a))))
0.0ms	b	@	0	(.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (*.f64 a a))))
0.0ms	a	@	inf	(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (.f64 a a)))

rewrite141.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1882×	`associate-/r/`
456×	`associate-+l+`
422×	`add-sqr-sqrt`
408×	`pow1`
408×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	138
1	413	96
2	6023	96

Stop Event

1×	node limit

Counts

4 → 300

Calls

Call 1

Inputs
(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (.f64 a a)))
(-.f64 (.f64 b b) (.f64 a a))
(.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (*.f64 a a))))
(+.f64 (/.f64 1 a) (/.f64 -1 b))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (.f64 (+.f64 a b) (.f64 a b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (.f64 (+.f64 a b) (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (/.f64 (/.f64 1 (+.f64 a b)) (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (+.f64 a b) (.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (.f64 (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (/.f64 (/.f64 1 (+.f64 a b)) (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 a b) (.f64 a b)))) (sqrt.f64 (/.f64 1 (.f64 (+.f64 a b) (.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2) (.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (/.f64 (/.f64 1 (+.f64 a b)) (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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simplify199.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1608×	`associate-/l*`
1354×	`associate-r`
1198×	`associate-l`
988×	`associate-/r*`
822×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	788	19188
1	2486	18924

Stop Event

1×	node limit

Counts

396 → 485

Calls

Call 1

Inputs
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(-.f64 (/.f64 1 (*.f64 a (pow.f64 b 2))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2)))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 5))) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (.f64 a (pow.f64 b 2))))) (/.f64 1 (pow.f64 b 3)))
(/.f64 1 (*.f64 (pow.f64 a 2) b))
(-.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (/.f64 1 (pow.f64 a 3)))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (*.f64 (pow.f64 a 2) b))) (/.f64 1 (pow.f64 a 3)))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (/.f64 1 (.f64 (pow.f64 a 2) b)) (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 3)))
(/.f64 1 (*.f64 (pow.f64 a 2) b))
(-.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (/.f64 1 (pow.f64 a 3)))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (*.f64 (pow.f64 a 2) b))) (/.f64 1 (pow.f64 a 3)))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (/.f64 1 (.f64 (pow.f64 a 2) b)) (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 3)))
(/.f64 1 (*.f64 (pow.f64 a 2) b))
(-.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (/.f64 1 (pow.f64 a 3)))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (*.f64 (pow.f64 a 2) b))) (/.f64 1 (pow.f64 a 3)))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (/.f64 1 (.f64 (pow.f64 a 2) b)) (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 3)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(-.f64 (/.f64 1 (*.f64 a (pow.f64 b 2))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2)))) (/.f64 1 (pow.f64 b 3)))
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(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) 3) (pow.f64 (fma.f64 (neg.f64 a) a (.f64 a a)) 3)) (+.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) 2) (-.f64 (.f64 (fma.f64 (neg.f64 a) a (.f64 a a)) (fma.f64 (neg.f64 a) a (.f64 a a))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (fma.f64 (neg.f64 a) a (.f64 a a))))))
(pow.f64 (-.f64 (.f64 b b) (.f64 a a)) 1)
(pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 a a))) 2)
(pow.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 a b)) (-.f64 b a)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 b b) (.f64 a a)))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) 3))
(expm1.f64 (log1p.f64 (-.f64 (.f64 b b) (.f64 a a))))
(exp.f64 (log.f64 (-.f64 (.f64 b b) (.f64 a a))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 b b) (*.f64 a a))) 1))
(log1p.f64 (expm1.f64 (-.f64 (.f64 b b) (.f64 a a))))
(fma.f64 1 (.f64 b b) (neg.f64 (.f64 a a)))
(fma.f64 1 (-.f64 (.f64 b b) (.f64 a a)) (fma.f64 (neg.f64 a) a (*.f64 a a)))
(fma.f64 b b (neg.f64 (*.f64 a a)))
(fma.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 a a))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a a))) (fma.f64 (neg.f64 a) a (*.f64 a a)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) 2) (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) (fma.f64 (neg.f64 a) a (*.f64 a a)))
(fma.f64 (cbrt.f64 (pow.f64 b 4)) (pow.f64 (cbrt.f64 b) 2) (neg.f64 (*.f64 a a)))
(fma.f64 (+.f64 a b) (-.f64 b a) (fma.f64 (neg.f64 a) a (*.f64 a a)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (*.f64 a b))) 1/2))) 1)
(/.f64 1 (.f64 (+.f64 a b) (.f64 (/.f64 2 (PI.f64)) (*.f64 a b))))
(/.f64 1 (.f64 (/.f64 2 (PI.f64)) (.f64 (+.f64 a b) (*.f64 a b))))
(/.f64 1 (.f64 (/.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) 2) (.f64 (PI.f64) (-.f64 b a))) (.f64 a b)))
(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 (-.f64 (.f64 b b) (*.f64 a a)) (/.f64 2 (PI.f64))))
(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 (/.f64 2 (PI.f64)) (-.f64 (.f64 b b) (*.f64 a a))))
(/.f64 (/.f64 1 (.f64 (+.f64 a b) (.f64 a b))) (/.f64 2 (PI.f64)))
(/.f64 (PI.f64) (.f64 2 (.f64 (+.f64 a b) (*.f64 a b))))
(/.f64 (PI.f64) (.f64 (/.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) 2) (-.f64 b a)) (*.f64 a b)))
(/.f64 (PI.f64) (.f64 (.f64 (+.f64 a b) (*.f64 a b)) 2))
(/.f64 (.f64 (PI.f64) 1/2) (.f64 (+.f64 a b) (*.f64 a b)))
(/.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 (PI.f64) 1/2)) (-.f64 (.f64 b b) (.f64 a a)))
(/.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (.f64 a b))) 2)
(/.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (PI.f64)) (.f64 (-.f64 (.f64 b b) (.f64 a a)) 2))
(/.f64 (neg.f64 (PI.f64)) (.f64 (.f64 (+.f64 a b) (*.f64 a b)) -2))
(/.f64 (/.f64 (neg.f64 (-.f64 b a)) (.f64 a b)) (.f64 (/.f64 2 (PI.f64)) (*.f64 (+.f64 a b) (neg.f64 (-.f64 b a)))))
(/.f64 (.f64 (PI.f64) (/.f64 (neg.f64 (-.f64 b a)) (.f64 a b))) (.f64 2 (.f64 (+.f64 a b) (neg.f64 (-.f64 b a)))))
(/.f64 (.f64 (/.f64 1 (.f64 (+.f64 a b) (*.f64 a b))) (neg.f64 (PI.f64))) -2)
(/.f64 (.f64 (.f64 (PI.f64) 1/2) (/.f64 (neg.f64 (-.f64 b a)) (.f64 a b))) (.f64 (+.f64 a b) (neg.f64 (-.f64 b a))))
(/.f64 (.f64 (neg.f64 (PI.f64)) (+.f64 (/.f64 1 a) (/.f64 -1 b))) (.f64 -2 (-.f64 (.f64 b b) (.f64 a a))))
(/.f64 (.f64 (/.f64 (neg.f64 (-.f64 b a)) (.f64 a b)) (.f64 (PI.f64) 1/2)) (.f64 (+.f64 a b) (neg.f64 (-.f64 b a))))
(/.f64 (.f64 (neg.f64 (PI.f64)) (/.f64 1 (.f64 (+.f64 a b) (*.f64 a b)))) -2)
(/.f64 (/.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 (PI.f64) 1/2)) 1) (-.f64 (.f64 b b) (.f64 a a)))
(/.f64 (/.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 (PI.f64) 1/2)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a a)))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a a))))
(/.f64 (/.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) 2)) (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))))
(/.f64 (/.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 (PI.f64) 1/2)) (+.f64 a b)) (-.f64 b a))
(/.f64 (.f64 (/.f64 (neg.f64 (-.f64 b a)) (.f64 a b)) 1) (.f64 (.f64 (+.f64 a b) (neg.f64 (-.f64 b a))) (/.f64 2 (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) 1) (.f64 -2 (.f64 (+.f64 a b) (.f64 a b))))
(/.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (neg.f64 (PI.f64))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) -2))
(/.f64 (.f64 (/.f64 (neg.f64 (-.f64 b a)) (.f64 a b)) (PI.f64)) (.f64 (.f64 (+.f64 a b) (neg.f64 (-.f64 b a))) 2))
(/.f64 (.f64 (/.f64 (neg.f64 (-.f64 b a)) (.f64 a b)) (neg.f64 (PI.f64))) (.f64 (.f64 (+.f64 a b) (neg.f64 (-.f64 b a))) -2))
(/.f64 (.f64 (neg.f64 (PI.f64)) (/.f64 (neg.f64 (-.f64 b a)) (.f64 a b))) (.f64 -2 (.f64 (+.f64 a b) (neg.f64 (-.f64 b a)))))
(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 (PI.f64) 1/2))) (*.f64 (+.f64 a b) (neg.f64 (-.f64 b a))))
(/.f64 (neg.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (.f64 a b)))) -2)
(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (PI.f64))) (neg.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) 2)))
(pow.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (*.f64 a b))) 1/2) 1)
(pow.f64 (sqrt.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (*.f64 a b))) 1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (*.f64 a b))) 1/2)) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (*.f64 a b))) 1/2) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (*.f64 a b))) 1/2) 2))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (.f64 a b))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (*.f64 a b))) 1/2))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (*.f64 a b))) 1/2) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (+.f64 a b) (.f64 a b))) 3) (pow.f64 (.f64 (PI.f64) 1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (/.f64 1 (.f64 (+.f64 a b) (.f64 a b))) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (*.f64 a b))) 1/2)))
(exp.f64 (log.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (*.f64 a b))) 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (.f64 a b))) 1/2)) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (*.f64 a b))) 1/2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 a))) (-.f64 1 (/.f64 -1 b)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 b))) (-.f64 1 (/.f64 1 a)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)))) 1)
(-.f64 (/.f64 (pow.f64 a -2) (+.f64 (/.f64 1 a) (/.f64 1 b))) (/.f64 (pow.f64 (/.f64 -1 b) 2) (+.f64 (/.f64 1 a) (/.f64 1 b))))
(-.f64 (+.f64 (/.f64 1 a) (exp.f64 (log1p.f64 (/.f64 -1 b)))) 1)
(-.f64 (+.f64 (/.f64 -1 b) (exp.f64 (log1p.f64 (/.f64 1 a)))) 1)
(*.f64 1 (+.f64 (/.f64 1 a) (/.f64 -1 b)))
(*.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) 1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2) (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))))
(.f64 (-.f64 b a) (/.f64 1 (.f64 a b)))
(*.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (/.f64 1 (+.f64 (/.f64 1 a) (/.f64 1 b))))
(*.f64 (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3))) (/.f64 1 (+.f64 (pow.f64 (/.f64 -1 b) 2) (-.f64 (pow.f64 a -2) (/.f64 (/.f64 -1 b) a)))))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 a) (/.f64 1 b))) (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 -1 b) 2) (-.f64 (pow.f64 a -2) (/.f64 (/.f64 -1 b) a)))) (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3))))
(.f64 (/.f64 1 (.f64 a b)) (-.f64 b a))
(*.f64 (/.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2))) (+.f64 (/.f64 1 a) (/.f64 -1 b)))
(*.f64 (/.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (-.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3)))) (+.f64 (pow.f64 a -2) (+.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 (/.f64 -1 b) a))))
(.f64 (/.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (-.f64 b (neg.f64 a))) (.f64 a b))
(.f64 (/.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (-.f64 (neg.f64 b) a)) (.f64 a (neg.f64 b)))
(.f64 (/.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (-.f64 (.f64 -1 (neg.f64 b)) (.f64 (neg.f64 a) 1))) (.f64 (neg.f64 a) (neg.f64 b)))
(.f64 (/.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (-.f64 (neg.f64 b) (.f64 (neg.f64 a) -1))) (*.f64 (neg.f64 a) b))
(.f64 (/.f64 (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3))) (-.f64 (.f64 (pow.f64 a -2) (pow.f64 a -2)) (*.f64 (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 (/.f64 -1 b) a)) (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 (/.f64 -1 b) a))))) (+.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (/.f64 (/.f64 -1 b) a)))
(.f64 (/.f64 (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3))) (+.f64 (pow.f64 (pow.f64 a -2) 3) (pow.f64 (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 (/.f64 -1 b) a)) 3))) (-.f64 (+.f64 (.f64 (pow.f64 a -2) (pow.f64 a -2)) (.f64 (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 (/.f64 -1 b) a)) (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 (/.f64 -1 b) a)))) (.f64 (pow.f64 a -2) (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 (/.f64 -1 b) a)))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 -1 b) 2) (-.f64 (pow.f64 a -2) (/.f64 (/.f64 -1 b) a))) (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3)))))
(/.f64 1 (/.f64 (*.f64 a b) (-.f64 b a)))
(/.f64 (-.f64 b a) (*.f64 a b))
(/.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(/.f64 (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3))) (+.f64 (pow.f64 (/.f64 -1 b) 2) (-.f64 (pow.f64 a -2) (/.f64 (/.f64 -1 b) a))))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (neg.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2))) (neg.f64 (+.f64 (/.f64 1 a) (/.f64 1 b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3)))) (neg.f64 (+.f64 (pow.f64 (/.f64 -1 b) 2) (-.f64 (pow.f64 a -2) (/.f64 (/.f64 -1 b) a)))))
(/.f64 (neg.f64 (-.f64 b a)) (neg.f64 (*.f64 a b)))
(/.f64 (-.f64 (pow.f64 (/.f64 -1 b) 2) (pow.f64 a -2)) (-.f64 (/.f64 -1 b) (/.f64 1 a)))
(/.f64 (+.f64 a (neg.f64 b)) (*.f64 b (neg.f64 a)))
(/.f64 (+.f64 a (neg.f64 b)) (*.f64 a (neg.f64 b)))
(/.f64 (+.f64 (.f64 (neg.f64 a) 1) (.f64 -1 (neg.f64 b))) (*.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 b) (.f64 (neg.f64 a) -1)) (.f64 (neg.f64 a) b))
(/.f64 (+.f64 a (.f64 (neg.f64 b) 1)) (.f64 (neg.f64 b) a))
(/.f64 (+.f64 (neg.f64 a) (.f64 (neg.f64 b) -1)) (.f64 (neg.f64 b) (neg.f64 a)))
(pow.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))))
(fma.f64 1 (/.f64 1 a) (/.f64 -1 b))
(fma.f64 1 (/.f64 -1 b) (/.f64 1 a))
(fma.f64 -1 (/.f64 1 b) (/.f64 1 a))
(fma.f64 (sqrt.f64 (/.f64 -1 b)) (sqrt.f64 (/.f64 -1 b)) (/.f64 1 a))
(fma.f64 (pow.f64 a -1/2) (pow.f64 a -1/2) (/.f64 -1 b))
(fma.f64 (pow.f64 (/.f64 -1 (cbrt.f64 b)) 2) (/.f64 -1 (cbrt.f64 b)) (/.f64 1 a))
(fma.f64 (cbrt.f64 (pow.f64 a -2)) (/.f64 1 (cbrt.f64 a)) (/.f64 -1 b))

Outputs
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (.f64 a (.f64 b b)))
(-.f64 (/.f64 1 (*.f64 a (pow.f64 b 2))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (/.f64 1 (.f64 a (.f64 b b))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2)))) (/.f64 1 (pow.f64 b 3)))
(+.f64 (/.f64 a (pow.f64 b 4)) (-.f64 (/.f64 1 (.f64 a (.f64 b b))) (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 1 (.f64 a (.f64 b b))) (-.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 5))) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (.f64 a (pow.f64 b 2))))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (fma.f64 -1 (/.f64 (.f64 a a) (pow.f64 b 5)) (+.f64 (/.f64 1 (.f64 a (*.f64 b b))) (/.f64 a (pow.f64 b 4)))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 b 5) a)) (+.f64 (/.f64 1 (.f64 a (.f64 b b))) (/.f64 a (pow.f64 b 4)))) (/.f64 1 (pow.f64 b 3)))
(/.f64 1 (*.f64 (pow.f64 a 2) b))
(/.f64 1 (.f64 b (.f64 a a)))
(-.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (/.f64 1 (pow.f64 a 3)))
(-.f64 (/.f64 1 (.f64 b (.f64 a a))) (/.f64 1 (pow.f64 a 3)))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (*.f64 (pow.f64 a 2) b))) (/.f64 1 (pow.f64 a 3)))
(+.f64 (/.f64 b (pow.f64 a 4)) (-.f64 (/.f64 1 (.f64 b (.f64 a a))) (/.f64 1 (pow.f64 a 3))))
(+.f64 (/.f64 1 (.f64 b (.f64 a a))) (-.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (pow.f64 a 3))))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (/.f64 1 (.f64 (pow.f64 a 2) b)) (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 3)))
(+.f64 (/.f64 b (pow.f64 a 4)) (-.f64 (+.f64 (/.f64 1 (.f64 b (.f64 a a))) (neg.f64 (/.f64 (*.f64 b b) (pow.f64 a 5)))) (/.f64 1 (pow.f64 a 3))))
(+.f64 (+.f64 (/.f64 1 (.f64 b (.f64 a a))) (/.f64 b (pow.f64 a 4))) (-.f64 (/.f64 (*.f64 (neg.f64 b) b) (pow.f64 a 5)) (/.f64 1 (pow.f64 a 3))))
(/.f64 1 (*.f64 (pow.f64 a 2) b))
(/.f64 1 (.f64 b (.f64 a a)))
(-.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (/.f64 1 (pow.f64 a 3)))
(-.f64 (/.f64 1 (.f64 b (.f64 a a))) (/.f64 1 (pow.f64 a 3)))
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(*.f64 (/.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (-.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3)))) (+.f64 (pow.f64 a -2) (+.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 (/.f64 -1 b) a))))
(.f64 (+.f64 (pow.f64 a -2) (+.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 -1 (.f64 a b)))) (/.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (-.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3)))))
(.f64 (+.f64 (+.f64 (pow.f64 a -2) (/.f64 -1 (.f64 a b))) (pow.f64 (/.f64 -1 b) 2)) (/.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (-.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3)))))
(.f64 (/.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (-.f64 b (neg.f64 a))) (.f64 a b))
(.f64 (.f64 a b) (/.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (-.f64 b (neg.f64 a))))
(/.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (/.f64 (-.f64 b (neg.f64 a)) (*.f64 a b)))
(.f64 (/.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (-.f64 (neg.f64 b) a)) (.f64 a (neg.f64 b)))
(.f64 (.f64 a (neg.f64 b)) (/.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (-.f64 (neg.f64 b) a)))
(.f64 b (/.f64 (.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (neg.f64 a)) (-.f64 (neg.f64 a) b)))
(.f64 (/.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (-.f64 (.f64 -1 (neg.f64 b)) (.f64 (neg.f64 a) 1))) (.f64 (neg.f64 a) (neg.f64 b)))
(.f64 (.f64 (neg.f64 a) (neg.f64 b)) (/.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (-.f64 (neg.f64 (neg.f64 b)) (neg.f64 a))))
(/.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (/.f64 (-.f64 (.f64 1 b) (neg.f64 a)) (.f64 (*.f64 1 b) a)))
(.f64 (/.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (-.f64 (neg.f64 b) (.f64 (neg.f64 a) -1))) (*.f64 (neg.f64 a) b))
(.f64 (.f64 a (neg.f64 b)) (/.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (-.f64 (neg.f64 b) a)))
(.f64 b (/.f64 (.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (neg.f64 a)) (-.f64 (neg.f64 a) b)))
(.f64 (/.f64 (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3))) (-.f64 (.f64 (pow.f64 a -2) (pow.f64 a -2)) (*.f64 (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 (/.f64 -1 b) a)) (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 (/.f64 -1 b) a))))) (+.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (/.f64 (/.f64 -1 b) a)))
(.f64 (+.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (/.f64 -1 (.f64 a b))) (/.f64 (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3))) (-.f64 (pow.f64 a -4) (.f64 (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 -1 (.f64 a b))) (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 -1 (*.f64 a b)))))))
(/.f64 (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3))) (/.f64 (-.f64 (pow.f64 a -4) (.f64 (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 -1 (.f64 a b))) (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 -1 (.f64 a b))))) (+.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (/.f64 -1 (.f64 a b)))))
(.f64 (/.f64 (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3))) (+.f64 (pow.f64 (pow.f64 a -2) 3) (pow.f64 (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 (/.f64 -1 b) a)) 3))) (-.f64 (+.f64 (.f64 (pow.f64 a -2) (pow.f64 a -2)) (.f64 (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 (/.f64 -1 b) a)) (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 (/.f64 -1 b) a)))) (.f64 (pow.f64 a -2) (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 (/.f64 -1 b) a)))))
(.f64 (+.f64 (pow.f64 a -4) (-.f64 (.f64 (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 -1 (.f64 a b))) (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 -1 (.f64 a b)))) (.f64 (pow.f64 a -2) (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 -1 (.f64 a b)))))) (/.f64 (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3))) (+.f64 (pow.f64 (pow.f64 a -2) 3) (pow.f64 (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 -1 (*.f64 a b))) 3))))
(.f64 (+.f64 (.f64 (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 -1 (.f64 a b))) (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 -1 (.f64 a b)))) (-.f64 (pow.f64 a -4) (.f64 (pow.f64 a -2) (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 -1 (.f64 a b)))))) (/.f64 (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3))) (+.f64 (pow.f64 (pow.f64 a -2) 3) (pow.f64 (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 -1 (*.f64 a b))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(*.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (/.f64 1 (+.f64 (/.f64 1 a) (/.f64 1 b))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 -1 b) 2) (-.f64 (pow.f64 a -2) (/.f64 (/.f64 -1 b) a))) (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3)))))
(.f64 (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3))) (/.f64 1 (+.f64 (pow.f64 (/.f64 -1 b) 2) (-.f64 (pow.f64 a -2) (/.f64 -1 (.f64 a b))))))
(/.f64 (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3))) (/.f64 (+.f64 (pow.f64 a -2) (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 -1 (*.f64 a b)))) 1))
(/.f64 1 (/.f64 (*.f64 a b) (-.f64 b a)))
(.f64 (-.f64 b a) (/.f64 1 (.f64 a b)))
(/.f64 (-.f64 b a) (*.f64 a b))
(/.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2)) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(/.f64 (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3))) (+.f64 (pow.f64 (/.f64 -1 b) 2) (-.f64 (pow.f64 a -2) (/.f64 (/.f64 -1 b) a))))
(/.f64 (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3))) (+.f64 (pow.f64 (/.f64 -1 b) 2) (-.f64 (pow.f64 a -2) (/.f64 -1 (*.f64 a b)))))
(/.f64 (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3))) (+.f64 (pow.f64 a -2) (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 -1 (*.f64 a b)))))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (-.f64 b a) (*.f64 a b))
(/.f64 (neg.f64 (-.f64 (pow.f64 a -2) (pow.f64 (/.f64 -1 b) 2))) (neg.f64 (+.f64 (/.f64 1 a) (/.f64 1 b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3)))) (neg.f64 (+.f64 (pow.f64 (/.f64 -1 b) 2) (-.f64 (pow.f64 a -2) (/.f64 (/.f64 -1 b) a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3)))) (neg.f64 (+.f64 (pow.f64 (/.f64 -1 b) 2) (-.f64 (pow.f64 a -2) (/.f64 -1 (*.f64 a b))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3)))) (neg.f64 (+.f64 (pow.f64 a -2) (-.f64 (pow.f64 (/.f64 -1 b) 2) (/.f64 -1 (*.f64 a b))))))
(/.f64 (neg.f64 (-.f64 b a)) (neg.f64 (*.f64 a b)))
(/.f64 (neg.f64 (-.f64 b a)) (*.f64 a (neg.f64 b)))
(/.f64 (/.f64 (-.f64 a b) a) (neg.f64 b))
(/.f64 (-.f64 (pow.f64 (/.f64 -1 b) 2) (pow.f64 a -2)) (-.f64 (/.f64 -1 b) (/.f64 1 a)))
(/.f64 (+.f64 a (neg.f64 b)) (*.f64 b (neg.f64 a)))
(/.f64 (neg.f64 (-.f64 b a)) (*.f64 a (neg.f64 b)))
(/.f64 (/.f64 (-.f64 a b) a) (neg.f64 b))
(/.f64 (+.f64 a (neg.f64 b)) (*.f64 a (neg.f64 b)))
(/.f64 (neg.f64 (-.f64 b a)) (*.f64 a (neg.f64 b)))
(/.f64 (/.f64 (-.f64 a b) a) (neg.f64 b))
(/.f64 (+.f64 (.f64 (neg.f64 a) 1) (.f64 -1 (neg.f64 b))) (*.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 a) (neg.f64 (neg.f64 b))) (*.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 a) (.f64 1 b)) (.f64 (*.f64 1 b) a))
(/.f64 (+.f64 (neg.f64 b) (.f64 (neg.f64 a) -1)) (.f64 (neg.f64 a) b))
(/.f64 (+.f64 (neg.f64 b) (.f64 -1 (neg.f64 a))) (.f64 a (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 b) (.f64 1 a)) (.f64 a (neg.f64 b)))
(/.f64 (+.f64 a (.f64 (neg.f64 b) 1)) (.f64 (neg.f64 b) a))
(/.f64 (neg.f64 (-.f64 b a)) (*.f64 a (neg.f64 b)))
(/.f64 (/.f64 (-.f64 a b) a) (neg.f64 b))
(/.f64 (+.f64 (neg.f64 a) (.f64 (neg.f64 b) -1)) (.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (+.f64 (neg.f64 a) (neg.f64 (neg.f64 b))) (*.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 a) (.f64 1 b)) (.f64 (*.f64 1 b) a))
(pow.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) 1)
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2)
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 3)
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) 3) 1/3)
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)))))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) 3))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(exp.f64 (log.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 1))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(fma.f64 1 (/.f64 1 a) (/.f64 -1 b))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(fma.f64 1 (/.f64 -1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(fma.f64 -1 (/.f64 1 b) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 -1 b))
(fma.f64 (sqrt.f64 (/.f64 -1 b)) (sqrt.f64 (/.f64 -1 b)) (/.f64 1 a))
(fma.f64 (pow.f64 a -1/2) (pow.f64 a -1/2) (/.f64 -1 b))
(fma.f64 (pow.f64 (/.f64 -1 (cbrt.f64 b)) 2) (/.f64 -1 (cbrt.f64 b)) (/.f64 1 a))
(fma.f64 (cbrt.f64 (pow.f64 a -2)) (/.f64 1 (cbrt.f64 a)) (/.f64 -1 b))

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.02%	(+.f64 (/.f64 1 a) (/.f64 -1 b))
✓	1.04%	(/.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 b b) (.f64 a a)))
	9.05%	(-.f64 (.f64 b b) (.f64 a a))
✓	11.45%	(.f64 (/.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 b b) (*.f64 a a))) (+.f64 (/.f64 1 a) (/.f64 -1 b)))

Compiler

Compiled 67 to 32 computations (52.2% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(/.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 b b) (.f64 a a)))
0.0ms	b	@	inf	(/.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 b b) (.f64 a a)))
0.0ms	a	@	0	(/.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 b b) (.f64 a a)))
0.0ms	a	@	inf	(/.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 b b) (.f64 a a)))
0.0ms	b	@	0	(.f64 (/.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 b b) (*.f64 a a))) (+.f64 (/.f64 1 a) (/.f64 -1 b)))

rewrite119.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1868×	`associate-/r/`
454×	`associate-+l+`
426×	`add-sqr-sqrt`
412×	`pow1`
412×	`*-un-lft-identity`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	90
1	416	90
2	6275	66

Stop Event

1×	node limit

Counts

2 → 157

Calls

Call 1

Inputs
(.f64 (/.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 b b) (*.f64 a a))) (+.f64 (/.f64 1 a) (/.f64 -1 b)))
(/.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 b b) (.f64 a a)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) 2)) a)) (/.f64 (*.f64 (PI.f64) -1/2) (*.f64 b (-.f64 (*.f64 b b) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (PI.f64) -1/2) (*.f64 b (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) 2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 (+.f64 b a) (*.f64 b a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) 1/2) (*.f64 (+.f64 b a) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (+.f64 b a) (*.f64 b a)) (/.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) 1/2) (+.f64 (/.f64 1 a) (/.f64 -1 b))) (-.f64 (*.f64 b b) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 2 (PI.f64))) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a -2) (/.f64 1 (*.f64 b b))) (*.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 2 (PI.f64))) (+.f64 (/.f64 1 a) (/.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3))) (*.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 2 (PI.f64))) (+.f64 (pow.f64 a -2) (-.f64 (/.f64 1 (*.f64 b b)) (/.f64 -1 (*.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) 1/2) (-.f64 (pow.f64 a -2) (/.f64 1 (*.f64 b b)))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (/.f64 1 a) (/.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) 1/2) (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3)))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (pow.f64 a -2) (-.f64 (/.f64 1 (*.f64 b 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simplify139.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1294×	`associate-/l*`
1014×	`associate-r`
978×	`associate-/r*`
926×	`associate-l`
890×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	538	13587
1	1927	13427

Stop Event

1×	node limit

Counts

205 → 301

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
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(.f64 (.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a))) 1)
(.f64 1 (.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a))))
(.f64 (sqrt.f64 (.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))) (sqrt.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))))
(.f64 (cbrt.f64 (.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))) 2) (cbrt.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))))
(.f64 (/.f64 1 (-.f64 (.f64 b b) (.f64 a a))) (.f64 (PI.f64) 1/2))
(.f64 (.f64 (PI.f64) -1/2) (/.f64 1 (*.f64 (+.f64 b a) (neg.f64 (-.f64 b a)))))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 b b) (.f64 a a)))) (/.f64 (.f64 (PI.f64) 1/2) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a a)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) 2)) (/.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a)))))
(.f64 (/.f64 1 (+.f64 b a)) (/.f64 (.f64 (PI.f64) 1/2) (-.f64 b a)))
(.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))) 1/2)
(.f64 (/.f64 (.f64 (PI.f64) 1/2) 1) (/.f64 (fma.f64 b b (*.f64 a a)) (-.f64 (pow.f64 b 4) (pow.f64 a 4))))
(.f64 (/.f64 (.f64 (PI.f64) 1/2) 1) (/.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (pow.f64 (*.f64 b a) 2))) (-.f64 (pow.f64 b 6) (pow.f64 a 6))))
(.f64 (/.f64 1 (-.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 (.f64 (PI.f64) 1/2) (fma.f64 b b (.f64 a a))))
(.f64 (/.f64 1 (-.f64 (pow.f64 b 6) (pow.f64 a 6))) (.f64 (.f64 (PI.f64) 1/2) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (pow.f64 (.f64 b a) 2)))))
(.f64 (/.f64 (.f64 (PI.f64) 1/2) (-.f64 (pow.f64 b 4) (pow.f64 a 4))) (fma.f64 b b (*.f64 a a)))
(.f64 (/.f64 (.f64 (PI.f64) 1/2) (-.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (pow.f64 (*.f64 b a) 2))))
(.f64 (/.f64 1 (.f64 (+.f64 b a) (*.f64 (-.f64 b a) 2))) (PI.f64))
(.f64 (/.f64 1 (.f64 (+.f64 b a) (neg.f64 (-.f64 b a)))) (*.f64 (PI.f64) -1/2))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (-.f64 (.f64 b b) (*.f64 a a))) (/.f64 (sqrt.f64 (PI.f64)) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (-.f64 (.f64 b b) (*.f64 a a))) (/.f64 (cbrt.f64 (PI.f64)) 2))
(.f64 (/.f64 (PI.f64) 1) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (/.f64 (PI.f64) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a a)))) (/.f64 1/2 (sqrt.f64 (-.f64 (.f64 b b) (*.f64 a a)))))
(.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) 2)) (/.f64 1/2 (cbrt.f64 (-.f64 (.f64 b b) (*.f64 a a)))))
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) 1) (/.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (-.f64 (.f64 b b) (.f64 a a))) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) 2)) (/.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (-.f64 (.f64 b b) (*.f64 a a)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (+.f64 b a)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (-.f64 b a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) 1) (/.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a a)))) (/.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (-.f64 (.f64 b b) (*.f64 a a)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (pow.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) 2)) (cbrt.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (+.f64 b a)) (/.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (-.f64 b a)))
(.f64 (/.f64 (PI.f64) (.f64 (-.f64 (pow.f64 b 4) (pow.f64 a 4)) 2)) (fma.f64 b b (*.f64 a a)))
(.f64 (/.f64 (PI.f64) (.f64 (-.f64 (pow.f64 b 6) (pow.f64 a 6)) 2)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (pow.f64 (*.f64 b a) 2))))
(.f64 (/.f64 (.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (pow.f64 b 4) (pow.f64 a 4)))) (neg.f64 (fma.f64 b b (*.f64 a a))))
(.f64 (/.f64 (.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (pow.f64 b 6) (pow.f64 a 6)))) (neg.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (pow.f64 (*.f64 b a) 2)))))
(.f64 (/.f64 (.f64 (PI.f64) 1/2) (-.f64 (pow.f64 b 4) (.f64 (neg.f64 (.f64 a a)) (neg.f64 (.f64 a a))))) (-.f64 (.f64 b b) (neg.f64 (*.f64 a a))))
(.f64 (/.f64 (.f64 (PI.f64) 1/2) (-.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) 2) (.f64 (fma.f64 (neg.f64 a) a (.f64 a a)) (fma.f64 (neg.f64 a) a (.f64 a a))))) (-.f64 (-.f64 (.f64 b b) (.f64 a a)) (fma.f64 (neg.f64 a) a (.f64 a a))))
(.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 (pow.f64 b 6) (pow.f64 (neg.f64 (.f64 a a)) 3))) (+.f64 (pow.f64 b 4) (-.f64 (.f64 (neg.f64 (.f64 a a)) (neg.f64 (.f64 a a))) (.f64 (.f64 b b) (neg.f64 (*.f64 a a))))))
(.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) 3) (pow.f64 (fma.f64 (neg.f64 a) a (.f64 a a)) 3))) (+.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) 2) (-.f64 (.f64 (fma.f64 (neg.f64 a) a (.f64 a a)) (fma.f64 (neg.f64 a) a (.f64 a a))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (fma.f64 (neg.f64 a) a (.f64 a a))))))
(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 b b) (*.f64 a a)) (PI.f64))) 1/2)
(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (sqrt.f64 (.f64 (PI.f64) 1/2)))) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 (+.f64 b a) (*.f64 (-.f64 b a) 2))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (-.f64 (.f64 b b) (.f64 a a))) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (+.f64 b a) (*.f64 (-.f64 b a) 2))) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))) 2) (PI.f64))
(.f64 (/.f64 (/.f64 1 (-.f64 (.f64 b b) (.f64 a a))) 1) (.f64 (PI.f64) 1/2))
(.f64 (/.f64 (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))) -2) (neg.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))) (/.f64 2 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))) (/.f64 2 (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (PI.f64) -1/2) (neg.f64 (-.f64 (pow.f64 b 4) (pow.f64 a 4)))) (fma.f64 b b (*.f64 a a)))
(.f64 (/.f64 (.f64 (PI.f64) -1/2) (neg.f64 (-.f64 (pow.f64 b 6) (pow.f64 a 6)))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (pow.f64 (*.f64 b a) 2))))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) 1) 1) (/.f64 (fma.f64 b b (*.f64 a a)) (-.f64 (pow.f64 b 4) (pow.f64 a 4))))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) 1) 1) (/.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (pow.f64 (*.f64 b a) 2))) (-.f64 (pow.f64 b 6) (pow.f64 a 6))))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) 1) (-.f64 (pow.f64 b 4) (pow.f64 a 4))) (fma.f64 b b (*.f64 a a)))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) 1) (-.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (pow.f64 (*.f64 b a) 2))))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) 1) (neg.f64 (-.f64 (pow.f64 b 4) (pow.f64 a 4)))) (neg.f64 (fma.f64 b b (*.f64 a a))))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) 1) (neg.f64 (-.f64 (pow.f64 b 6) (pow.f64 a 6)))) (neg.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (pow.f64 (*.f64 b a) 2)))))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) 1) (-.f64 (pow.f64 b 4) (.f64 (neg.f64 (.f64 a a)) (neg.f64 (.f64 a a))))) (-.f64 (.f64 b b) (neg.f64 (*.f64 a a))))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) 1) (-.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) 2) (.f64 (fma.f64 (neg.f64 a) a (.f64 a a)) (fma.f64 (neg.f64 a) a (.f64 a a))))) (-.f64 (-.f64 (.f64 b b) (.f64 a a)) (fma.f64 (neg.f64 a) a (.f64 a a))))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) 1) (+.f64 (pow.f64 b 6) (pow.f64 (neg.f64 (.f64 a a)) 3))) (+.f64 (pow.f64 b 4) (-.f64 (.f64 (neg.f64 (.f64 a a)) (neg.f64 (.f64 a a))) (.f64 (.f64 b b) (neg.f64 (*.f64 a a))))))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) 1) (+.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) 3) (pow.f64 (fma.f64 (neg.f64 a) a (.f64 a a)) 3))) (+.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) 2) (-.f64 (.f64 (fma.f64 (neg.f64 a) a (.f64 a a)) (fma.f64 (neg.f64 a) a (.f64 a a))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (fma.f64 (neg.f64 a) a (.f64 a a))))))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a a)))) (sqrt.f64 (-.f64 (pow.f64 b 4) (pow.f64 a 4)))) (sqrt.f64 (fma.f64 b b (*.f64 a a))))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a a)))) (sqrt.f64 (-.f64 (pow.f64 b 6) (pow.f64 a 6)))) (sqrt.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (pow.f64 (*.f64 b a) 2)))))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) 2)) (cbrt.f64 (-.f64 (pow.f64 b 4) (pow.f64 a 4)))) (cbrt.f64 (fma.f64 b b (*.f64 a a))))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) 2)) (cbrt.f64 (-.f64 (pow.f64 b 6) (pow.f64 a 6)))) (cbrt.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (pow.f64 (*.f64 b a) 2)))))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 (.f64 b b) (.f64 a a))) (+.f64 b a))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 (.f64 b b) (.f64 (neg.f64 a) (neg.f64 a)))) (-.f64 b (neg.f64 a)))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (+.f64 (pow.f64 b 3) (pow.f64 (neg.f64 a) 3))) (+.f64 (.f64 b b) (-.f64 (.f64 (neg.f64 a) (neg.f64 a)) (*.f64 b (neg.f64 a)))))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (fma.f64 b b (.f64 a a)) (.f64 b a)))
(pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a))) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a))) 3) 1/3)
(pow.f64 (.f64 (-.f64 (.f64 b b) (*.f64 a a)) (/.f64 2 (PI.f64))) -1)
(neg.f64 (/.f64 (.f64 (PI.f64) 1/2) (.f64 (+.f64 b a) (neg.f64 (-.f64 b a)))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (-.f64 (.f64 b b) (*.f64 a a)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))))
(exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))))

Outputs
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 1/2 (/.f64 (.f64 a (.f64 a b)) (PI.f64)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 1/2 (/.f64 (.f64 a (.f64 a b)) (PI.f64))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (.f64 (/.f64 b (pow.f64 a 4)) (PI.f64)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 b (.f64 a a))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 5) (.f64 b b))) (.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (*.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (PI.f64) (.f64 a (*.f64 b b))))))
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(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (+.f64 (pow.f64 b 3) (pow.f64 (neg.f64 a) 3))) (+.f64 (.f64 b b) (-.f64 (.f64 (neg.f64 a) (neg.f64 a)) (*.f64 b (neg.f64 a)))))
(.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 (-.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 a b))) (fma.f64 b b (.f64 (neg.f64 a) (-.f64 (neg.f64 a) b))))
(.f64 (/.f64 (/.f64 (PI.f64) (/.f64 (+.f64 a b) 1/2)) (-.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 a b) (fma.f64 b b (*.f64 a a))))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (fma.f64 b b (.f64 a a)) (.f64 b a)))
(.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 (-.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 a b))) (fma.f64 b b (.f64 (neg.f64 a) (-.f64 (neg.f64 a) b))))
(.f64 (/.f64 (/.f64 (PI.f64) (/.f64 (+.f64 a b) 1/2)) (-.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 a b) (fma.f64 b b (*.f64 a a))))
(pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a))) 1)
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (-.f64 b a)))
(.f64 1/2 (/.f64 (PI.f64) (fma.f64 b b (.f64 a (neg.f64 a)))))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))) 2)
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (-.f64 b a)))
(.f64 1/2 (/.f64 (PI.f64) (fma.f64 b b (.f64 a (neg.f64 a)))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))) 3)
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (-.f64 b a)))
(.f64 1/2 (/.f64 (PI.f64) (fma.f64 b b (.f64 a (neg.f64 a)))))
(pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a))) 3) 1/3)
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (-.f64 b a)))
(.f64 1/2 (/.f64 (PI.f64) (fma.f64 b b (.f64 a (neg.f64 a)))))
(pow.f64 (.f64 (-.f64 (.f64 b b) (*.f64 a a)) (/.f64 2 (PI.f64))) -1)
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (-.f64 b a)))
(.f64 1/2 (/.f64 (PI.f64) (fma.f64 b b (.f64 a (neg.f64 a)))))
(neg.f64 (/.f64 (.f64 (PI.f64) 1/2) (.f64 (+.f64 b a) (neg.f64 (-.f64 b a)))))
(.f64 (PI.f64) (.f64 -1/2 (/.f64 1 (*.f64 (+.f64 a b) (neg.f64 (-.f64 b a))))))
(.f64 (PI.f64) (/.f64 -1/2 (.f64 (neg.f64 (+.f64 a b)) (-.f64 b a))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (-.f64 b a))) 2))
(sqrt.f64 (pow.f64 (.f64 1/2 (/.f64 (PI.f64) (fma.f64 b b (.f64 a (neg.f64 a))))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (-.f64 b a)))
(.f64 1/2 (/.f64 (PI.f64) (fma.f64 b b (.f64 a (neg.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a))))))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (-.f64 b a)))
(.f64 1/2 (/.f64 (PI.f64) (fma.f64 b b (.f64 a (neg.f64 a)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a))) 3))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (-.f64 b a)))
(.f64 1/2 (/.f64 (PI.f64) (fma.f64 b b (.f64 a (neg.f64 a)))))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (-.f64 (.f64 b b) (*.f64 a a)) 3)))
(cbrt.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (-.f64 (.f64 b b) (*.f64 a a)) 3)))
(cbrt.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (fma.f64 b b (.f64 a (neg.f64 a))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (-.f64 b a)))
(.f64 1/2 (/.f64 (PI.f64) (fma.f64 b b (.f64 a (neg.f64 a)))))
(exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (-.f64 b a)))
(.f64 1/2 (/.f64 (PI.f64) (fma.f64 b b (.f64 a (neg.f64 a)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))) 1))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (-.f64 b a)))
(.f64 1/2 (/.f64 (PI.f64) (fma.f64 b b (.f64 a (neg.f64 a)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (-.f64 b a)))
(.f64 1/2 (/.f64 (PI.f64) (fma.f64 b b (.f64 a (neg.f64 a)))))

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.27%	(.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))))
✓	1.04%	(/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))
	9.05%	(-.f64 (.f64 b b) (.f64 a a))
✓	11.45%	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

Compiler

Compiled 79 to 37 computations (53.2% saved)

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
0.0ms	b	@	0	(/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))
0.0ms	b	@	inf	(/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))
0.0ms	b	@	inf	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
0.0ms	a	@	inf	(/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))

rewrite149.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1828×	`associate-/l*`
440×	`associate-+l+`
430×	`add-sqr-sqrt`
416×	`pow1`
416×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	115
1	416	115
2	6065	115

Stop Event

1×	node limit

Counts

3 → 227

Calls

Call 1

Inputs

(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

(/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))

(*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a))))

Outputs

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(cbrt.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a))) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2)))))))

simplify156.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1470×	`associate-/l*`
1190×	`times-frac`
1130×	`associate-/r*`
930×	`associate-r`
722×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	670	17299
1	1975	16817

Stop Event

1×	node limit

Counts

299 → 381

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(/.f64 -1 (pow.f64 a 2))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4))) (/.f64 1 (pow.f64 a 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4)))) (/.f64 1 (pow.f64 a 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 6) (pow.f64 a 8))) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4))))) (/.f64 1 (pow.f64 a 2)))
(/.f64 1 (pow.f64 b 2))
(+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (/.f64 1 (pow.f64 b 2)))
(+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (+.f64 (/.f64 1 (pow.f64 b 2)) (/.f64 (pow.f64 a 4) (pow.f64 b 6))))
(+.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 8)) (+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (+.f64 (/.f64 1 (pow.f64 b 2)) (/.f64 (pow.f64 a 4) (pow.f64 b 6)))))
(/.f64 1 (pow.f64 b 2))
(+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (/.f64 1 (pow.f64 b 2)))
(+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (+.f64 (/.f64 1 (pow.f64 b 2)) (/.f64 (pow.f64 a 4) (pow.f64 b 6))))
(+.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 8)) (+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (+.f64 (/.f64 1 (pow.f64 b 2)) (/.f64 (pow.f64 a 4) (pow.f64 b 6)))))
(/.f64 1 (pow.f64 b 2))
(+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (/.f64 1 (pow.f64 b 2)))
(+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (+.f64 (/.f64 1 (pow.f64 b 2)) (/.f64 (pow.f64 a 4) (pow.f64 b 6))))
(+.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 8)) (+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (+.f64 (/.f64 1 (pow.f64 b 2)) (/.f64 (pow.f64 a 4) (pow.f64 b 6)))))
(/.f64 -1 (pow.f64 a 2))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4))) (/.f64 1 (pow.f64 a 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4)))) (/.f64 1 (pow.f64 a 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 6) (pow.f64 a 8))) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4))))) (/.f64 1 (pow.f64 a 2)))
(/.f64 -1 (pow.f64 a 2))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4))) (/.f64 1 (pow.f64 a 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4)))) (/.f64 1 (pow.f64 a 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 6) (pow.f64 a 8))) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4))))) (/.f64 1 (pow.f64 a 2)))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 6) (PI.f64)) (pow.f64 a 8))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 6) (PI.f64)) (pow.f64 b 8))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 6) (PI.f64)) (pow.f64 b 8))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 6) (PI.f64)) (pow.f64 b 8))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 6) (PI.f64)) (pow.f64 a 8))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 6) (PI.f64)) (pow.f64 a 8))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))))
(+.f64 (.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2) (/.f64 1 a)) (.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2) (/.f64 -1 b)))
(+.f64 (.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2) (/.f64 -1 b)) (.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2) (/.f64 1 a)))
(+.f64 (.f64 (/.f64 1 a) (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2)) (.f64 (/.f64 -1 b) (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2)))
(+.f64 (.f64 (/.f64 -1 b) (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2)) (.f64 (/.f64 1 a) (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (.f64 a a))))))) 1)
(/.f64 (PI.f64) (/.f64 2 (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (.f64 a a)))))
(/.f64 (PI.f64) (/.f64 (.f64 2 (-.f64 (.f64 b b) (*.f64 a a))) (+.f64 (/.f64 1 a) (/.f64 -1 b))))
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(/.f64 1 (/.f64 (neg.f64 (.f64 2 (-.f64 (.f64 b b) (*.f64 a a)))) (neg.f64 (PI.f64))))
(/.f64 (/.f64 1 (-.f64 (.f64 b b) (.f64 a a))) (/.f64 2 (PI.f64)))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (sqrt.f64 (.f64 (PI.f64) 1/2))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 1)))
(/.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) -1/2) (/.f64 (/.f64 2 (PI.f64)) (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) -1/2)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 2 (-.f64 (.f64 b b) (*.f64 a a))) (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (.f64 (sqrt.f64 (PI.f64)) 1)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (*.f64 (sqrt.f64 (PI.f64)) 1/2)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 1/2)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 2 (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))))))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (-.f64 (.f64 b b) (*.f64 a a)) -2) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (.f64 (+.f64 b a) (neg.f64 (-.f64 b a))) 2) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (neg.f64 (.f64 2 (-.f64 (.f64 b b) (*.f64 a a)))) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2)))
(/.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (sqrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))))
(/.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (cbrt.f64 (.f64 (PI.f64) 1/2))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1)))
(/.f64 (cbrt.f64 (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (/.f64 (/.f64 2 (PI.f64)) (cbrt.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) -2))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) -2)) (/.f64 (/.f64 2 (PI.f64)) (cbrt.f64 (/.f64 1 (-.f64 (.f64 b b) (.f64 a a))))))
(/.f64 (cbrt.f64 (PI.f64)) (/.f64 (.f64 2 (-.f64 (.f64 b b) (*.f64 a a))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (.f64 2 (-.f64 (.f64 b b) (*.f64 a a))) (cbrt.f64 (PI.f64))))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (.f64 (cbrt.f64 (PI.f64)) 1)))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (*.f64 (cbrt.f64 (PI.f64)) 1/2)))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 2 (.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))))))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (.f64 (-.f64 (.f64 b b) (*.f64 a a)) -2) (neg.f64 (cbrt.f64 (PI.f64)))))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (.f64 (.f64 (+.f64 b a) (neg.f64 (-.f64 b a))) 2) (neg.f64 (cbrt.f64 (PI.f64)))))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (neg.f64 (.f64 2 (-.f64 (.f64 b b) (*.f64 a a)))) (neg.f64 (cbrt.f64 (PI.f64)))))
(/.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 2)
(/.f64 1/2 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (PI.f64)))
(/.f64 (neg.f64 (PI.f64)) (.f64 (-.f64 (.f64 b b) (*.f64 a a)) -2))
(/.f64 (neg.f64 (PI.f64)) (.f64 (.f64 (+.f64 b a) (neg.f64 (-.f64 b a))) 2))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (.f64 2 (-.f64 (.f64 b b) (*.f64 a a)))))
(/.f64 (neg.f64 (PI.f64)) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) -1/2))
(/.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 -2 (-.f64 (.f64 b b) (*.f64 a a))) 1))
(/.f64 (neg.f64 (PI.f64)) (/.f64 -2 (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))))
(/.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 -2 (.f64 (+.f64 b a) (neg.f64 (-.f64 b a)))) -1))
(/.f64 -1 (.f64 (/.f64 2 (PI.f64)) (.f64 (+.f64 b a) (neg.f64 (-.f64 b a)))))
(/.f64 -1 (.f64 (.f64 (+.f64 b a) (neg.f64 (-.f64 b a))) (/.f64 2 (PI.f64))))
(/.f64 -1 (/.f64 (/.f64 2 (PI.f64)) (/.f64 1 (*.f64 (+.f64 b a) (neg.f64 (-.f64 b a))))))
(/.f64 -1 (/.f64 (.f64 (-.f64 (.f64 b b) (*.f64 a a)) -2) (PI.f64)))
(/.f64 -1 (/.f64 (.f64 (.f64 (+.f64 b a) (neg.f64 (-.f64 b a))) 2) (PI.f64)))
(/.f64 -1 (/.f64 (neg.f64 (.f64 2 (-.f64 (.f64 b b) (*.f64 a a)))) (PI.f64)))
(/.f64 -1 (/.f64 (.f64 (+.f64 b a) (neg.f64 (-.f64 b a))) (.f64 (PI.f64) 1/2)))
(/.f64 -1 (/.f64 (.f64 (.f64 (+.f64 b a) (neg.f64 (-.f64 b a))) -2) (neg.f64 (PI.f64))))
(/.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/2))) (/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (sqrt.f64 (.f64 (PI.f64) 1/2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))))
(/.f64 (sqrt.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a)))) (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2)) (/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (sqrt.f64 (.f64 (PI.f64) 1/2))) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2)) (/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))))
(/.f64 (sqrt.f64 (neg.f64 (PI.f64))) (/.f64 (.f64 (-.f64 (.f64 b b) (*.f64 a a)) -2) (sqrt.f64 (neg.f64 (PI.f64)))))
(/.f64 (sqrt.f64 (neg.f64 (PI.f64))) (/.f64 (.f64 (.f64 (+.f64 b a) (neg.f64 (-.f64 b a))) 2) (sqrt.f64 (neg.f64 (PI.f64)))))
(/.f64 (sqrt.f64 (neg.f64 (PI.f64))) (/.f64 (neg.f64 (.f64 2 (-.f64 (.f64 b b) (*.f64 a a)))) (sqrt.f64 (neg.f64 (PI.f64)))))
(/.f64 (.f64 (cbrt.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a)))) (cbrt.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))))) (/.f64 2 (cbrt.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2))) (/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (PI.f64))) (cbrt.f64 (neg.f64 (PI.f64)))) (/.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) -2) (cbrt.f64 (neg.f64 (PI.f64)))))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (PI.f64))) (cbrt.f64 (neg.f64 (PI.f64)))) (/.f64 (.f64 (*.f64 (+.f64 b a) (neg.f64 (-.f64 b a))) 2) (cbrt.f64 (neg.f64 (PI.f64)))))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (PI.f64))) (cbrt.f64 (neg.f64 (PI.f64)))) (/.f64 (neg.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) (cbrt.f64 (neg.f64 (PI.f64)))))
(/.f64 (.f64 (PI.f64) (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) -1/2)) (/.f64 2 (pow.f64 (-.f64 (.f64 b b) (*.f64 a a)) -1/2)))
(/.f64 (.f64 (PI.f64) (cbrt.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) -2))) (/.f64 2 (cbrt.f64 (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))))))
(/.f64 (.f64 (.f64 (PI.f64) 1/2) -1) (*.f64 (+.f64 b a) (neg.f64 (-.f64 b a))))
(/.f64 (.f64 (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))) (neg.f64 (PI.f64))) -2)
(/.f64 (.f64 (PI.f64) -1) (.f64 2 (*.f64 (+.f64 b a) (neg.f64 (-.f64 b a)))))
(/.f64 (.f64 (neg.f64 (PI.f64)) 1) (.f64 -2 (-.f64 (.f64 b b) (.f64 a a))))
(/.f64 (.f64 (neg.f64 (PI.f64)) (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a)))) -2)
(/.f64 (.f64 -1 (.f64 (PI.f64) 1/2)) (*.f64 (+.f64 b a) (neg.f64 (-.f64 b a))))
(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a a)))) (sqrt.f64 (-.f64 (.f64 b b) (*.f64 a a))))
(/.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) 2) 1/2)) (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))))
(/.f64 (/.f64 (PI.f64) (/.f64 (+.f64 b a) 1/2)) (-.f64 b a))
(/.f64 (/.f64 1 (-.f64 (pow.f64 b 4) (pow.f64 a 4))) (/.f64 (/.f64 2 (PI.f64)) (fma.f64 b b (*.f64 a a))))
(/.f64 (/.f64 1 (-.f64 (pow.f64 b 6) (pow.f64 a 6))) (/.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 (*.f64 b a) 2) (pow.f64 b 4)))))
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 (.f64 (-.f64 (.f64 b b) (*.f64 a a)) -2) (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 (.f64 (.f64 (+.f64 b a) (neg.f64 (-.f64 b a))) 2) (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (.f64 2 (-.f64 (.f64 b b) (*.f64 a a)))) (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (.f64 (-.f64 (.f64 b b) (*.f64 a a)) -2) (cbrt.f64 (PI.f64))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (.f64 (.f64 (+.f64 b a) (neg.f64 (-.f64 b a))) 2) (cbrt.f64 (PI.f64))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (neg.f64 (.f64 2 (-.f64 (.f64 b b) (*.f64 a a)))) (cbrt.f64 (PI.f64))))
(/.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) -1/2)) (/.f64 2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) -1/2))))
(/.f64 (.f64 (neg.f64 (PI.f64)) -1) (.f64 -2 (*.f64 (+.f64 b a) (neg.f64 (-.f64 b a)))))
(/.f64 (.f64 -1 (neg.f64 (PI.f64))) (.f64 (*.f64 (+.f64 b a) (neg.f64 (-.f64 b a))) -2))
(/.f64 (neg.f64 (.f64 (PI.f64) 1/2)) (.f64 (+.f64 b a) (neg.f64 (-.f64 b a))))
(/.f64 (neg.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a)))) -2)
(/.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 a a))) -1) (/.f64 (/.f64 2 (PI.f64)) (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 a a))) -1)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) 2) -1) (/.f64 (/.f64 2 (PI.f64)) (pow.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) -1)))
(/.f64 (pow.f64 (+.f64 b a) -1) (/.f64 (/.f64 2 (PI.f64)) (pow.f64 (-.f64 b a) -1)))
(pow.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))) 1/2) 1)
(pow.f64 (sqrt.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))) 1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))) 1/2)) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))) 1/2) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))) 1/2) 2))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))) 1/2))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))) 1/2) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (/.f64 1 (-.f64 (.f64 b b) (.f64 a a))) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 b b) (.f64 a a))) 3) (pow.f64 (.f64 (PI.f64) 1/2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (-.f64 (.f64 b b) (*.f64 a a)) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))) 1/2)))
(exp.f64 (log.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))) 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2)) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))) 1/2)))

Outputs
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)))
(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 a a) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (.f64 (/.f64 b (pow.f64 a 4)) (PI.f64)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 (.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 5) (.f64 b b))) (.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (*.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (PI.f64) (.f64 a (*.f64 b b))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 a (.f64 b b))) (.f64 (/.f64 a (pow.f64 b 4)) (PI.f64)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(fma.f64 -1/2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 5) (PI.f64))) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (PI.f64) (.f64 a (.f64 b b)))))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (PI.f64)) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 a (.f64 b b))) (.f64 (/.f64 a (pow.f64 b 4)) (PI.f64))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
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(/.f64 (/.f64 1 (-.f64 (pow.f64 b 4) (pow.f64 a 4))) (/.f64 (/.f64 2 (PI.f64)) (fma.f64 b b (*.f64 a a))))
(/.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (-.f64 (pow.f64 b 4) (pow.f64 a 4))) (/.f64 2 (PI.f64)))
(/.f64 (/.f64 1 (-.f64 (pow.f64 b 6) (pow.f64 a 6))) (/.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 (*.f64 b a) 2) (pow.f64 b 4)))))
(/.f64 (/.f64 1 (-.f64 (pow.f64 b 6) (pow.f64 a 6))) (/.f64 2 (.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (pow.f64 (.f64 a b) 2))) (PI.f64))))
(/.f64 (/.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (pow.f64 (*.f64 a b) 2))) (-.f64 (pow.f64 b 6) (pow.f64 a 6))) (/.f64 2 (PI.f64)))
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 (.f64 (-.f64 (.f64 b b) (*.f64 a a)) -2) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) 2) (/.f64 (sqrt.f64 (PI.f64)) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 1/2 (/.f64 (sqrt.f64 (PI.f64)) (-.f64 (.f64 b b) (.f64 a a)))))
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 (.f64 (.f64 (+.f64 b a) (neg.f64 (-.f64 b a))) 2) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) 2) (/.f64 (sqrt.f64 (PI.f64)) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 1/2 (/.f64 (sqrt.f64 (PI.f64)) (-.f64 (.f64 b b) (.f64 a a)))))
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (.f64 2 (-.f64 (.f64 b b) (*.f64 a a)))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) 2) (/.f64 (sqrt.f64 (PI.f64)) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 1/2 (/.f64 (sqrt.f64 (PI.f64)) (-.f64 (.f64 b b) (.f64 a a)))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (.f64 (-.f64 (.f64 b b) (*.f64 a a)) -2) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (.f64 (.f64 (+.f64 b a) (neg.f64 (-.f64 b a))) 2) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (neg.f64 (.f64 2 (-.f64 (.f64 b b) (*.f64 a a)))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))
(/.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) -1/2)) (/.f64 2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) -1/2))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) 2) (/.f64 (sqrt.f64 (PI.f64)) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 1/2 (/.f64 (sqrt.f64 (PI.f64)) (-.f64 (.f64 b b) (.f64 a a)))))
(/.f64 (.f64 (neg.f64 (PI.f64)) -1) (.f64 -2 (*.f64 (+.f64 b a) (neg.f64 (-.f64 b a)))))
(.f64 1/2 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (PI.f64) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))
(/.f64 (.f64 -1 (neg.f64 (PI.f64))) (.f64 (*.f64 (+.f64 b a) (neg.f64 (-.f64 b a))) -2))
(.f64 1/2 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (PI.f64) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))
(/.f64 (neg.f64 (.f64 (PI.f64) 1/2)) (.f64 (+.f64 b a) (neg.f64 (-.f64 b a))))
(.f64 1/2 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (PI.f64) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))
(/.f64 (neg.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a)))) -2)
(.f64 1/2 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (PI.f64) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))
(/.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 a a))) -1) (/.f64 (/.f64 2 (PI.f64)) (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 a a))) -1)))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 b b) (.f64 a a)))) (/.f64 2 (PI.f64))) (/.f64 1 (sqrt.f64 (-.f64 (.f64 b b) (*.f64 a a)))))
(/.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 a a))) -2) (/.f64 2 (PI.f64)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) 2) -1) (/.f64 (/.f64 2 (PI.f64)) (pow.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) -1)))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) 2)) (/.f64 2 (PI.f64))) (/.f64 1 (cbrt.f64 (-.f64 (.f64 b b) (*.f64 a a)))))
(/.f64 1 (.f64 (.f64 (/.f64 2 (PI.f64)) (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a)))) (pow.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) 2)))
(/.f64 (pow.f64 (+.f64 b a) -1) (/.f64 (/.f64 2 (PI.f64)) (pow.f64 (-.f64 b a) -1)))
(*.f64 (/.f64 (/.f64 1 (+.f64 a b)) (/.f64 2 (PI.f64))) (/.f64 1 (-.f64 b a)))
(*.f64 (/.f64 (/.f64 1 (+.f64 a b)) 2) (/.f64 (PI.f64) (-.f64 b a)))
(pow.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))) 1/2) 1)
(.f64 1/2 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (PI.f64) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))
(pow.f64 (sqrt.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))) 1/2)) 2)
(pow.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))))) 2)
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))) 1/2)) 3)
(.f64 1/2 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (PI.f64) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))
(pow.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))) 1/2) 3) 1/3)
(.f64 1/2 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (PI.f64) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))) 1/2) 2))
(sqrt.f64 (pow.f64 (.f64 1/2 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a)))) 2))
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a)))) 2))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))) 1/2))))
(.f64 1/2 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (PI.f64) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))) 1/2) 3))
(.f64 1/2 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (PI.f64) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (/.f64 1 (-.f64 (.f64 b b) (.f64 a a))) 3)))
(cbrt.f64 (.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) 3)) (pow.f64 (.f64 1/2 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (.f64 1 (pow.f64 (.f64 1/2 (PI.f64)) 3)) (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 b b) (.f64 a a))) 3) (pow.f64 (.f64 (PI.f64) 1/2) 3)))
(cbrt.f64 (.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) 3)) (pow.f64 (.f64 1/2 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (.f64 1 (pow.f64 (.f64 1/2 (PI.f64)) 3)) (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (-.f64 (.f64 b b) (*.f64 a a)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3) (pow.f64 (-.f64 (.f64 b b) (*.f64 a a)) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))) 1/2)))
(.f64 1/2 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (PI.f64) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))
(exp.f64 (log.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))) 1/2)))
(.f64 1/2 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (PI.f64) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2)) 1))
(.f64 1/2 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (PI.f64) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))) 1/2)))
(.f64 1/2 (/.f64 (PI.f64) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (PI.f64) (/.f64 1/2 (-.f64 (.f64 b b) (*.f64 a a))))

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.29%	(.f64 (/.f64 (PI.f64) 2) (.f64 (/.f64 1 (-.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b))))
	1.04%	(/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))
	9.05%	(-.f64 (.f64 b b) (.f64 a a))
✓	11.43%	(.f64 (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

Compiler

Compiled 83 to 40 computations (51.8% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	b	@	inf	(.f64 (/.f64 (PI.f64) 2) (.f64 (/.f64 1 (-.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b))))
0.0ms	b	@	0	(.f64 (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
0.0ms	b	@	-inf	(.f64 (/.f64 (PI.f64) 2) (.f64 (/.f64 1 (-.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b))))
0.0ms	b	@	0	(.f64 (/.f64 (PI.f64) 2) (.f64 (/.f64 1 (-.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b))))
0.0ms	a	@	-inf	(.f64 (/.f64 (PI.f64) 2) (.f64 (/.f64 1 (-.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b))))

rewrite125.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1566×	`associate-/l*`
424×	`add-sqr-sqrt`
420×	`associate-+l+`
410×	`pow1`
410×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	100
1	411	100
2	5875	100

Stop Event

1×	node limit

Counts

2 → 191

Calls

Call 1

Inputs
(.f64 (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(.f64 (/.f64 (PI.f64) 2) (.f64 (/.f64 1 (-.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 b b (neg.f64 (*.f64 a a)))) (/.f64 1 a)) (*.f64 (/.f64 1 (fma.f64 b b (neg.f64 (*.f64 a a)))) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 b b (neg.f64 (*.f64 a a)))) (/.f64 -1 b)) (*.f64 (/.f64 1 (fma.f64 b b (neg.f64 (*.f64 a a)))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 a) (/.f64 1 (fma.f64 b b (neg.f64 (*.f64 a a))))) (*.f64 (/.f64 -1 b) (/.f64 1 (fma.f64 b b (neg.f64 (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 b) (/.f64 1 (fma.f64 b b (neg.f64 (*.f64 a a))))) (*.f64 (/.f64 1 a) (/.f64 1 (fma.f64 b b (neg.f64 (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 b a) (*.f64 (fma.f64 b b (neg.f64 (*.f64 a a))) (*.f64 b a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1 a) (fma.f64 b b (neg.f64 (*.f64 a a)))) (/.f64 (/.f64 1 b) (fma.f64 b b (neg.f64 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b b (neg.f64 (*.f64 a a))) (+.f64 (/.f64 1 a) (/.f64 -1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (fma.f64 b b (neg.f64 (*.f64 a a))) (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)))) (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (fma.f64 b b (neg.f64 (*.f64 a a))) (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (fma.f64 b b (neg.f64 (*.f64 a a))) (*.f64 b a)) (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (fma.f64 b b (neg.f64 (*.f64 a a))) (+.f64 (/.f64 1 a) (/.f64 1 b))) (-.f64 (pow.f64 a -2) (pow.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (fma.f64 b b (neg.f64 (*.f64 a a))) (+.f64 (pow.f64 b -2) (+.f64 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simplify170.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

934×	`associate-/r/`
908×	`associate-/r*`
794×	`associate-/l*`
632×	`associate-r`
610×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	584	15367
1	1653	15055
2	7299	15055

Stop Event

1×	node limit

Counts

239 → 326

Calls

Call 1

Inputs
(/.f64 1 (*.f64 (pow.f64 a 2) b))
(-.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (/.f64 1 (pow.f64 a 3)))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (*.f64 (pow.f64 a 2) b))) (/.f64 1 (pow.f64 a 3)))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (/.f64 1 (.f64 (pow.f64 a 2) b)) (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 3)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(-.f64 (/.f64 1 (*.f64 a (pow.f64 b 2))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2)))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 5))) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (.f64 a (pow.f64 b 2))))) (/.f64 1 (pow.f64 b 3)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(-.f64 (/.f64 1 (*.f64 a (pow.f64 b 2))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2)))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 5))) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (.f64 a (pow.f64 b 2))))) (/.f64 1 (pow.f64 b 3)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(-.f64 (/.f64 1 (*.f64 a (pow.f64 b 2))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2)))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 5))) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (.f64 a (pow.f64 b 2))))) (/.f64 1 (pow.f64 b 3)))
(/.f64 1 (*.f64 (pow.f64 a 2) b))
(-.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (/.f64 1 (pow.f64 a 3)))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (*.f64 (pow.f64 a 2) b))) (/.f64 1 (pow.f64 a 3)))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (/.f64 1 (.f64 (pow.f64 a 2) b)) (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 3)))
(/.f64 1 (*.f64 (pow.f64 a 2) b))
(-.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (/.f64 1 (pow.f64 a 3)))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (*.f64 (pow.f64 a 2) b))) (/.f64 1 (pow.f64 a 3)))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (/.f64 1 (.f64 (pow.f64 a 2) b)) (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 3)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(+.f64 (.f64 (/.f64 1 (fma.f64 b b (neg.f64 (.f64 a a)))) (/.f64 1 a)) (.f64 (/.f64 1 (fma.f64 b b (neg.f64 (.f64 a a)))) (/.f64 -1 b)))
(+.f64 (.f64 (/.f64 1 (fma.f64 b b (neg.f64 (.f64 a a)))) (/.f64 -1 b)) (.f64 (/.f64 1 (fma.f64 b b (neg.f64 (.f64 a a)))) (/.f64 1 a)))
(+.f64 (.f64 (/.f64 1 a) (/.f64 1 (fma.f64 b b (neg.f64 (.f64 a a))))) (.f64 (/.f64 -1 b) (/.f64 1 (fma.f64 b b (neg.f64 (.f64 a a))))))
(+.f64 (.f64 (/.f64 -1 b) (/.f64 1 (fma.f64 b b (neg.f64 (.f64 a a))))) (.f64 (/.f64 1 a) (/.f64 1 (fma.f64 b b (neg.f64 (.f64 a a))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (*.f64 b a))))) 1)
(-.f64 (/.f64 (/.f64 1 a) (fma.f64 b b (neg.f64 (.f64 a a)))) (/.f64 (/.f64 1 b) (fma.f64 b b (neg.f64 (.f64 a a)))))
(/.f64 1 (/.f64 (fma.f64 b b (neg.f64 (*.f64 a a))) (+.f64 (/.f64 1 a) (/.f64 -1 b))))
(/.f64 1 (/.f64 (/.f64 (fma.f64 b b (neg.f64 (*.f64 a a))) (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)))) (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)))))
(/.f64 1 (/.f64 (/.f64 (fma.f64 b b (neg.f64 (*.f64 a a))) (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2)))
(/.f64 1 (/.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (*.f64 b a)) (-.f64 b a)))
(/.f64 1 (/.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (+.f64 (/.f64 1 a) (/.f64 1 b))) (-.f64 (pow.f64 a -2) (pow.f64 b -2))))
(/.f64 1 (/.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (+.f64 (pow.f64 b -2) (+.f64 (/.f64 1 (*.f64 b a)) (pow.f64 a -2)))) (-.f64 (pow.f64 a -3) (pow.f64 b -3))))
(/.f64 (/.f64 1 (fma.f64 b b (neg.f64 (*.f64 a a)))) (/.f64 b (/.f64 (-.f64 b a) a)))
(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (fma.f64 b b (neg.f64 (*.f64 a a))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (/.f64 (fma.f64 b b (neg.f64 (*.f64 a a))) (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)))))
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(/.f64 (cbrt.f64 (PI.f64)) (/.f64 (/.f64 2 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (*.f64 b a)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (/.f64 2 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (*.f64 b a)))) (cbrt.f64 (PI.f64))))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 2 (.f64 (cbrt.f64 (PI.f64)) (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))))))
(/.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (/.f64 (.f64 (/.f64 2 (PI.f64)) (fma.f64 b b (neg.f64 (.f64 a a)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2)))
(/.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (/.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (/.f64 2 (PI.f64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2) (/.f64 (.f64 (/.f64 2 (PI.f64)) (fma.f64 b b (neg.f64 (.f64 a a)))) (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2) (/.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (/.f64 2 (PI.f64))) (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2) (/.f64 (/.f64 2 (PI.f64)) (.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (/.f64 1 (fma.f64 b b (neg.f64 (.f64 a a)))))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (neg.f64 (.f64 a a))) -2)) (/.f64 (/.f64 2 (PI.f64)) (.f64 (/.f64 1 (cbrt.f64 (fma.f64 b b (neg.f64 (*.f64 a a))))) (+.f64 (/.f64 1 a) (/.f64 -1 b)))))
(/.f64 (cbrt.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a)))) (/.f64 (/.f64 2 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a)))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a)))) 2) (/.f64 (/.f64 2 (PI.f64)) (cbrt.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))))))
(/.f64 (/.f64 (PI.f64) (.f64 2 (fma.f64 b b (neg.f64 (.f64 a a))))) (/.f64 b (/.f64 (-.f64 b a) a)))
(/.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (PI.f64)) 2)
(/.f64 (-.f64 b a) (/.f64 (.f64 (/.f64 2 (PI.f64)) (fma.f64 b b (neg.f64 (.f64 a a)))) (/.f64 1 (*.f64 b a))))
(/.f64 (-.f64 b a) (/.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (/.f64 2 (PI.f64))) (/.f64 1 (*.f64 b a))))
(/.f64 (-.f64 (pow.f64 a -2) (pow.f64 b -2)) (/.f64 (.f64 (/.f64 2 (PI.f64)) (fma.f64 b b (neg.f64 (.f64 a a)))) (/.f64 1 (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(/.f64 (-.f64 (pow.f64 a -2) (pow.f64 b -2)) (/.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (/.f64 2 (PI.f64))) (/.f64 1 (+.f64 (/.f64 1 a) (/.f64 1 b)))))
(/.f64 (-.f64 (pow.f64 a -3) (pow.f64 b -3)) (/.f64 (.f64 (/.f64 2 (PI.f64)) (fma.f64 b b (neg.f64 (.f64 a a)))) (/.f64 1 (+.f64 (pow.f64 b -2) (+.f64 (/.f64 1 (*.f64 b a)) (pow.f64 a -2))))))
(/.f64 (-.f64 (pow.f64 a -3) (pow.f64 b -3)) (/.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (/.f64 2 (PI.f64))) (/.f64 1 (+.f64 (pow.f64 b -2) (+.f64 (/.f64 1 (*.f64 b a)) (pow.f64 a -2))))))
(/.f64 (neg.f64 (PI.f64)) (/.f64 -2 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (*.f64 b a)))))
(/.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 -2 (fma.f64 b b (neg.f64 (.f64 a a)))) (+.f64 (/.f64 1 a) (/.f64 -1 b))))
(/.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (PI.f64))) (/.f64 2 (sqrt.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (PI.f64)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (PI.f64))) (cbrt.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (PI.f64)))) (/.f64 2 (cbrt.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (*.f64 b a))) (PI.f64)))))
(/.f64 (.f64 (PI.f64) (/.f64 1 (fma.f64 b b (neg.f64 (.f64 a a))))) (/.f64 2 (+.f64 (/.f64 1 a) (/.f64 -1 b))))
(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 1 a) (/.f64 -1 b))) (.f64 2 (fma.f64 b b (neg.f64 (*.f64 a a)))))
(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 1 a) (/.f64 -1 b))) (/.f64 2 (/.f64 1 (fma.f64 b b (neg.f64 (.f64 a a))))))
(/.f64 (.f64 (PI.f64) (sqrt.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))))) (/.f64 2 (sqrt.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (*.f64 b a))))))
(/.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a)))) 2)) (/.f64 2 (cbrt.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (*.f64 b a))))))
(/.f64 (.f64 (.f64 (PI.f64) 1/2) (+.f64 (/.f64 1 a) (/.f64 -1 b))) (fma.f64 b b (neg.f64 (*.f64 a a))))
(/.f64 (.f64 (/.f64 1 (fma.f64 b b (neg.f64 (.f64 a a)))) (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)))) (/.f64 (/.f64 2 (PI.f64)) (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)))))
(/.f64 (.f64 (/.f64 1 (fma.f64 b b (neg.f64 (.f64 a a)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2)) (/.f64 (/.f64 2 (PI.f64)) (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)))))
(/.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (pow.f64 (fma.f64 b b (neg.f64 (.f64 a a))) -1/2)) (/.f64 (/.f64 2 (PI.f64)) (pow.f64 (fma.f64 b b (neg.f64 (*.f64 a a))) -1/2)))
(/.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (cbrt.f64 (pow.f64 (fma.f64 b b (neg.f64 (.f64 a a))) -2))) (/.f64 (/.f64 2 (PI.f64)) (/.f64 1 (cbrt.f64 (fma.f64 b b (neg.f64 (*.f64 a a)))))))
(/.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 (PI.f64) 1/2)) (fma.f64 b b (neg.f64 (*.f64 a a))))
(/.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (neg.f64 (PI.f64))) -2)
(/.f64 (.f64 (/.f64 (PI.f64) (.f64 2 (fma.f64 b b (neg.f64 (*.f64 a a))))) (-.f64 (pow.f64 a -2) (pow.f64 b -2))) (+.f64 (/.f64 1 a) (/.f64 1 b)))
(/.f64 (.f64 (/.f64 (PI.f64) (.f64 2 (fma.f64 b b (neg.f64 (.f64 a a))))) (-.f64 (pow.f64 a -3) (pow.f64 b -3))) (+.f64 (pow.f64 b -2) (+.f64 (/.f64 1 (.f64 b a)) (pow.f64 a -2))))
(/.f64 (.f64 (/.f64 (PI.f64) (.f64 2 (fma.f64 b b (neg.f64 (.f64 a a))))) (-.f64 b a)) (.f64 b a))
(/.f64 (.f64 (neg.f64 (PI.f64)) (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a)))) -2)
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 b b (neg.f64 (.f64 a a)))) 2)) (/.f64 (/.f64 2 (PI.f64)) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (cbrt.f64 (fma.f64 b b (neg.f64 (.f64 a a)))))))
(/.f64 (/.f64 1 (+.f64 b a)) (/.f64 (/.f64 2 (PI.f64)) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 b a))))
(/.f64 (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (pow.f64 b 4) (pow.f64 a 4))) (/.f64 (/.f64 2 (PI.f64)) (fma.f64 b b (*.f64 a a))))
(/.f64 (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (pow.f64 b 6) (pow.f64 a 6))) (/.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (pow.f64 (*.f64 b a) 2)))))
(/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))))) (/.f64 2 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a)))))))
(/.f64 (+.f64 (pow.f64 b -1/2) (pow.f64 a -1/2)) (/.f64 (.f64 (/.f64 2 (PI.f64)) (fma.f64 b b (neg.f64 (.f64 a a)))) (-.f64 (pow.f64 a -1/2) (pow.f64 b -1/2))))
(/.f64 (+.f64 (pow.f64 b -1/2) (pow.f64 a -1/2)) (/.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (/.f64 2 (PI.f64))) (-.f64 (pow.f64 a -1/2) (pow.f64 b -1/2))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 1) (/.f64 (/.f64 2 (PI.f64)) (/.f64 (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (fma.f64 b b (neg.f64 (*.f64 a a))))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (pow.f64 (cbrt.f64 (fma.f64 b b (neg.f64 (.f64 a a)))) 2)) (/.f64 (/.f64 2 (PI.f64)) (/.f64 (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (cbrt.f64 (fma.f64 b b (neg.f64 (.f64 a a)))))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (+.f64 b a)) (/.f64 (/.f64 2 (PI.f64)) (/.f64 (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (-.f64 b a))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2) 1) (/.f64 (/.f64 2 (PI.f64)) (/.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (fma.f64 b b (neg.f64 (*.f64 a a))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2) (sqrt.f64 (fma.f64 b b (neg.f64 (.f64 a a))))) (/.f64 (/.f64 2 (PI.f64)) (/.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (sqrt.f64 (fma.f64 b b (neg.f64 (.f64 a a)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2) (pow.f64 (cbrt.f64 (fma.f64 b b (neg.f64 (.f64 a a)))) 2)) (/.f64 (/.f64 2 (PI.f64)) (cbrt.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2) (+.f64 b a)) (/.f64 (/.f64 2 (PI.f64)) (/.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (-.f64 b a))))
(/.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (PI.f64)) (.f64 (fma.f64 b b (neg.f64 (*.f64 a a))) 2))
(/.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (neg.f64 (PI.f64))) (.f64 (fma.f64 b b (neg.f64 (*.f64 a a))) -2))
(/.f64 (.f64 (neg.f64 (PI.f64)) (+.f64 (/.f64 1 a) (/.f64 -1 b))) (.f64 -2 (fma.f64 b b (neg.f64 (*.f64 a a)))))
(/.f64 (neg.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (PI.f64))) -2)
(pow.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (*.f64 (PI.f64) 1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (*.f64 (PI.f64) 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (*.f64 (PI.f64) 1/2)) 2))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (PI.f64))) (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (*.f64 b a)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (*.f64 (PI.f64) 1/2)) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (*.f64 b a))) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (*.f64 (PI.f64) 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (*.f64 (PI.f64) 1/2))))

Outputs
(/.f64 1 (*.f64 (pow.f64 a 2) b))
(/.f64 1 (.f64 (.f64 a a) b))
(/.f64 1 (.f64 a (.f64 a b)))
(-.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (/.f64 1 (pow.f64 a 3)))
(-.f64 (/.f64 1 (.f64 (.f64 a a) b)) (/.f64 1 (pow.f64 a 3)))
(+.f64 (/.f64 1 (.f64 a (.f64 a b))) (/.f64 -1 (pow.f64 a 3)))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (*.f64 (pow.f64 a 2) b))) (/.f64 1 (pow.f64 a 3)))
(+.f64 (/.f64 b (pow.f64 a 4)) (-.f64 (/.f64 1 (.f64 (.f64 a a) b)) (/.f64 1 (pow.f64 a 3))))
(+.f64 (/.f64 1 (.f64 a (.f64 a b))) (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 -1 (pow.f64 a 3))))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (/.f64 1 (.f64 (pow.f64 a 2) b)) (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 3)))
(+.f64 (/.f64 b (pow.f64 a 4)) (-.f64 (+.f64 (/.f64 1 (.f64 (.f64 a a) b)) (neg.f64 (/.f64 (*.f64 b b) (pow.f64 a 5)))) (/.f64 1 (pow.f64 a 3))))
(+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (-.f64 (/.f64 1 (.f64 a (.f64 a b))) (/.f64 b (/.f64 (pow.f64 a 5) b))) (/.f64 -1 (pow.f64 a 3))))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1 (*.f64 a b)) b)
(-.f64 (/.f64 1 (*.f64 a (pow.f64 b 2))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (/.f64 1 (.f64 a (.f64 b b))) (/.f64 1 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 1 (*.f64 a b)) b) (/.f64 -1 (pow.f64 b 3)))
(-.f64 (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2)))) (/.f64 1 (pow.f64 b 3)))
(+.f64 (/.f64 a (pow.f64 b 4)) (-.f64 (/.f64 1 (.f64 a (.f64 b b))) (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 (/.f64 1 (*.f64 a b)) b) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 -1 (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 5))) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (.f64 a (pow.f64 b 2))))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (fma.f64 -1 (/.f64 (.f64 a a) (pow.f64 b 5)) (+.f64 (/.f64 1 (.f64 a (*.f64 b b))) (/.f64 a (pow.f64 b 4)))) (/.f64 1 (pow.f64 b 3)))
(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 a b)) b) (/.f64 a (pow.f64 b 4))) (/.f64 a (/.f64 (pow.f64 b 5) a))) (/.f64 -1 (pow.f64 b 3)))
(/.f64 1 (*.f64 a (pow.f64 b 2)))
(/.f64 1 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1 (*.f64 a b)) b)
(-.f64 (/.f64 1 (*.f64 a (pow.f64 b 2))) (/.f64 1 (pow.f64 b 3)))
(-.f64 (/.f64 1 (.f64 a (.f64 b b))) (/.f64 1 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 1 (*.f64 a b)) b) (/.f64 -1 (pow.f64 b 3)))
(-.f64 (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2)))) (/.f64 1 (pow.f64 b 3)))
(+.f64 (/.f64 a (pow.f64 b 4)) (-.f64 (/.f64 1 (.f64 a (.f64 b b))) (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 (/.f64 1 (*.f64 a b)) b) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 -1 (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 5))) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (.f64 a (pow.f64 b 2))))) (/.f64 1 (pow.f64 b 3)))
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(/.f64 (.f64 (/.f64 (PI.f64) (.f64 2 (fma.f64 b b (neg.f64 (.f64 a a))))) (-.f64 b a)) (.f64 b a))
(.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 a b))) (*.f64 1/2 (PI.f64)))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 (.f64 a b) (-.f64 b a))))
(/.f64 (.f64 (neg.f64 (PI.f64)) (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a)))) -2)
(.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 a b))) (*.f64 1/2 (PI.f64)))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 (.f64 a b) (-.f64 b a))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 b b (neg.f64 (.f64 a a)))) 2)) (/.f64 (/.f64 2 (PI.f64)) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (cbrt.f64 (fma.f64 b b (neg.f64 (.f64 a a)))))))
(.f64 (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (fma.f64 b b (neg.f64 (.f64 a a)))) (/.f64 (PI.f64) 2))
(.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 1/2 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a)))))
(/.f64 (/.f64 1 (+.f64 b a)) (/.f64 (/.f64 2 (PI.f64)) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 b a))))
(/.f64 (/.f64 1 (+.f64 a b)) (*.f64 (/.f64 (/.f64 2 (PI.f64)) (+.f64 (/.f64 1 a) (/.f64 -1 b))) (-.f64 b a)))
(/.f64 (/.f64 (/.f64 1 (+.f64 a b)) (/.f64 (/.f64 2 (PI.f64)) (+.f64 (/.f64 1 a) (/.f64 -1 b)))) (-.f64 b a))
(/.f64 (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (pow.f64 b 4) (pow.f64 a 4))) (/.f64 (/.f64 2 (PI.f64)) (fma.f64 b b (*.f64 a a))))
(.f64 (/.f64 (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (pow.f64 b 4) (pow.f64 a 4))) (/.f64 2 (PI.f64))) (fma.f64 b b (.f64 a a)))
(.f64 (fma.f64 b b (.f64 a a)) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (*.f64 (/.f64 2 (PI.f64)) (-.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(/.f64 (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (pow.f64 b 6) (pow.f64 a 6))) (/.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (pow.f64 (*.f64 b a) 2)))))
(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 (/.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (pow.f64 (.f64 a b) 2)))) (-.f64 (pow.f64 b 6) (pow.f64 a 6))))
(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 (-.f64 (pow.f64 b 6) (pow.f64 a 6)) (/.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 (.f64 a b) 2) (pow.f64 b 4))))))
(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 (-.f64 (pow.f64 b 6) (pow.f64 a 6)) (/.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (pow.f64 (.f64 a b) 2))))))
(/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))))) (/.f64 2 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a)))))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) 2) (/.f64 (.f64 (sqrt.f64 (PI.f64)) (-.f64 b a)) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (*.f64 a b))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 (PI.f64)) 2) (/.f64 (-.f64 b a) (.f64 a (.f64 b (-.f64 (.f64 b b) (.f64 a a)))))))
(/.f64 (+.f64 (pow.f64 b -1/2) (pow.f64 a -1/2)) (/.f64 (.f64 (/.f64 2 (PI.f64)) (fma.f64 b b (neg.f64 (.f64 a a)))) (-.f64 (pow.f64 a -1/2) (pow.f64 b -1/2))))
(/.f64 (+.f64 (pow.f64 b -1/2) (pow.f64 a -1/2)) (/.f64 (fma.f64 b b (neg.f64 (*.f64 a a))) (/.f64 (-.f64 (pow.f64 a -1/2) (pow.f64 b -1/2)) (/.f64 2 (PI.f64)))))
(.f64 (/.f64 (+.f64 (pow.f64 b -1/2) (pow.f64 a -1/2)) (/.f64 2 (PI.f64))) (/.f64 (-.f64 (pow.f64 a -1/2) (pow.f64 b -1/2)) (-.f64 (.f64 b b) (*.f64 a a))))
(/.f64 (+.f64 (pow.f64 b -1/2) (pow.f64 a -1/2)) (/.f64 (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (/.f64 2 (PI.f64))) (-.f64 (pow.f64 a -1/2) (pow.f64 b -1/2))))
(/.f64 (+.f64 (pow.f64 b -1/2) (pow.f64 a -1/2)) (/.f64 (fma.f64 b b (neg.f64 (*.f64 a a))) (/.f64 (-.f64 (pow.f64 a -1/2) (pow.f64 b -1/2)) (/.f64 2 (PI.f64)))))
(.f64 (/.f64 (+.f64 (pow.f64 b -1/2) (pow.f64 a -1/2)) (/.f64 2 (PI.f64))) (/.f64 (-.f64 (pow.f64 a -1/2) (pow.f64 b -1/2)) (-.f64 (.f64 b b) (*.f64 a a))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 1) (/.f64 (/.f64 2 (PI.f64)) (/.f64 (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (fma.f64 b b (neg.f64 (*.f64 a a))))))
(.f64 (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (fma.f64 b b (neg.f64 (.f64 a a)))) (/.f64 (PI.f64) 2))
(.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 1/2 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a)))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (pow.f64 (cbrt.f64 (fma.f64 b b (neg.f64 (.f64 a a)))) 2)) (/.f64 (/.f64 2 (PI.f64)) (/.f64 (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (cbrt.f64 (fma.f64 b b (neg.f64 (.f64 a a)))))))
(.f64 (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (fma.f64 b b (neg.f64 (.f64 a a)))) (/.f64 (PI.f64) 2))
(.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 1/2 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a)))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (+.f64 b a)) (/.f64 (/.f64 2 (PI.f64)) (/.f64 (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (-.f64 b a))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (+.f64 a b)) (/.f64 2 (PI.f64))) (/.f64 (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (-.f64 b a)))
(.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (-.f64 b a)) (/.f64 (sqrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (.f64 (/.f64 2 (PI.f64)) (+.f64 a b))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2) 1) (/.f64 (/.f64 2 (PI.f64)) (/.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (fma.f64 b b (neg.f64 (*.f64 a a))))))
(.f64 (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (fma.f64 b b (neg.f64 (.f64 a a)))) (/.f64 (PI.f64) 2))
(.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 1/2 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2) (sqrt.f64 (fma.f64 b b (neg.f64 (.f64 a a))))) (/.f64 (/.f64 2 (PI.f64)) (/.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (sqrt.f64 (fma.f64 b b (neg.f64 (.f64 a a)))))))
(.f64 (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (fma.f64 b b (neg.f64 (.f64 a a)))) (/.f64 (PI.f64) 2))
(.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 1/2 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2) (pow.f64 (cbrt.f64 (fma.f64 b b (neg.f64 (.f64 a a)))) 2)) (/.f64 (/.f64 2 (PI.f64)) (cbrt.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2) (pow.f64 (cbrt.f64 (fma.f64 b b (neg.f64 (.f64 a a)))) 2)) (/.f64 (/.f64 2 (PI.f64)) (cbrt.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 a b))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2) (/.f64 (.f64 2 (pow.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) 2)) (.f64 (PI.f64) (cbrt.f64 (/.f64 (-.f64 b a) (.f64 a (.f64 b (-.f64 (.f64 b b) (.f64 a a)))))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2) (+.f64 b a)) (/.f64 (/.f64 2 (PI.f64)) (/.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (-.f64 b a))))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2) (+.f64 a b)) (/.f64 2 (PI.f64))) (/.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (-.f64 b a)))
(.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (-.f64 b a)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2) (.f64 (/.f64 2 (PI.f64)) (+.f64 a b))))
(/.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (PI.f64)) (.f64 (fma.f64 b b (neg.f64 (*.f64 a a))) 2))
(.f64 (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (fma.f64 b b (neg.f64 (.f64 a a)))) (/.f64 (PI.f64) 2))
(.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 1/2 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a)))))
(/.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (neg.f64 (PI.f64))) (.f64 (fma.f64 b b (neg.f64 (*.f64 a a))) -2))
(.f64 (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (fma.f64 b b (neg.f64 (.f64 a a)))) (/.f64 (PI.f64) 2))
(.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 1/2 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a)))))
(/.f64 (.f64 (neg.f64 (PI.f64)) (+.f64 (/.f64 1 a) (/.f64 -1 b))) (.f64 -2 (fma.f64 b b (neg.f64 (*.f64 a a)))))
(.f64 (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (fma.f64 b b (neg.f64 (.f64 a a)))) (/.f64 (PI.f64) 2))
(.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 1/2 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a)))))
(/.f64 (neg.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (PI.f64))) -2)
(.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 a b))) (*.f64 1/2 (PI.f64)))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 (.f64 a b) (-.f64 b a))))
(pow.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (*.f64 (PI.f64) 1/2)) 1)
(.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 a b))) (*.f64 1/2 (PI.f64)))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 (.f64 a b) (-.f64 b a))))
(pow.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (*.f64 (PI.f64) 1/2))) 2)
(.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 a b))) (*.f64 1/2 (PI.f64)))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 (.f64 a b) (-.f64 b a))))
(pow.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (*.f64 (PI.f64) 1/2))) 3)
(.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 a b))) (*.f64 1/2 (PI.f64)))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 (.f64 a b) (-.f64 b a))))
(pow.f64 (pow.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (*.f64 (PI.f64) 1/2)) 3) 1/3)
(.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 a b))) (*.f64 1/2 (PI.f64)))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 (.f64 a b) (-.f64 b a))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (*.f64 (PI.f64) 1/2)) 2))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 a b))) (*.f64 1/2 (PI.f64))) 2))
(fabs.f64 (.f64 1/2 (/.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 (.f64 a b) (-.f64 b a)))))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (PI.f64))) (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (*.f64 b a)))))
(.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 a b))) (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(.f64 (/.f64 (-.f64 b a) (.f64 a (.f64 b (-.f64 (.f64 b b) (*.f64 a a))))) (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (*.f64 (PI.f64) 1/2)))))
(.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 a b))) (*.f64 1/2 (PI.f64)))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 (.f64 a b) (-.f64 b a))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (*.f64 (PI.f64) 1/2)) 3))
(.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 a b))) (*.f64 1/2 (PI.f64)))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 (.f64 a b) (-.f64 b a))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 a b))) (*.f64 1/2 (PI.f64)))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 (.f64 a b) (-.f64 b a))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (*.f64 b a))) 3)))
(.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 a b))) (*.f64 1/2 (PI.f64)))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 (.f64 a b) (-.f64 b a))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (*.f64 (PI.f64) 1/2))))
(.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 a b))) (*.f64 1/2 (PI.f64)))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 (.f64 a b) (-.f64 b a))))
(exp.f64 (log.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (*.f64 (PI.f64) 1/2))))
(.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 a b))) (*.f64 1/2 (PI.f64)))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 (.f64 a b) (-.f64 b a))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (.f64 (PI.f64) 1/2))) 1))
(.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 a b))) (*.f64 1/2 (PI.f64)))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 (.f64 a b) (-.f64 b a))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 b a))) (*.f64 (PI.f64) 1/2))))
(.f64 (/.f64 (-.f64 b a) (.f64 (fma.f64 b b (neg.f64 (.f64 a a))) (.f64 a b))) (*.f64 1/2 (PI.f64)))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 (.f64 a b) (-.f64 b a))))

eval1.1s (8.2%)

Compiler: Compiled 74055 to 37006 computations (50% saved)

prune1.1s (8.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	2414	14	2428
Fresh	1	0	1
Picked	1	0	1
Done	4	0	4
Total	2420	14	2434

Error

Counts

2434 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.31%	(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
▶	40.52%	(/.f64 (.f64 (PI.f64) 1/2) (.f64 b (*.f64 a a)))
	47.51%	(/.f64 (.f64 (PI.f64) 1/2) (.f64 a (*.f64 b b)))
	34.92%	(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 a b)))
▶	41.15%	(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))
	34.96%	(/.f64 1/2 (/.f64 (.f64 a (.f64 a b)) (PI.f64)))
▶	0.44%	(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
	47.58%	(.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))
	29.09%	(.f64 (/.f64 (PI.f64) 2) (pow.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 a b) (*.f64 a b)))) 2))
	41.19%	(.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 1 (.f64 a b)) b))
	48.35%	(.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 1 a) (-.f64 (.f64 b b) (*.f64 a a))))
	0.91%	(.f64 (/.f64 1/2 (/.f64 (+.f64 a b) (PI.f64))) (/.f64 (/.f64 (-.f64 a b) (.f64 a b)) (-.f64 a b)))
▶	40.53%	(.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
	6.05%	(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a (+.f64 a b)))))

Compiler

Compiled 370 to 262 computations (29.2% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.27%	(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
✓	0.4%	(/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a))

Compiler

Compiled 33 to 15 computations (54.5% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a))
1.0ms	b	@	inf	(/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a))
0.0ms	b	@	0	(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
0.0ms	a	@	0	(/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a))
0.0ms	b	@	-inf	(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))

rewrite98.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1304×	`associate-/l/`
1262×	`associate-/r/`
746×	`distribute-rgt-in`
712×	`distribute-lft-in`
278×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	265	54
2	3939	54

Stop Event

1×	node limit

Counts

2 → 195

Calls

Call 1

Inputs
(/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a))
(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))

Outputs

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a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b a)) 1) (/.f64 (fma.f64 b b (*.f64 a (-.f64 a b))) (+.f64 (pow.f64 b 3) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b a)) (fma.f64 b b (neg.f64 (*.f64 a a)))) (-.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b a)) (+.f64 (pow.f64 b 3) (pow.f64 a 3))) (fma.f64 b b (*.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b a)) (neg.f64 (fma.f64 b b (neg.f64 (*.f64 a a))))) (neg.f64 (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b a)) (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b a)) (-.f64 (*.f64 a a) (*.f64 b b))) (-.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a (PI.f64)) (*.f64 b (*.f64 (+.f64 b a) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b (neg.f64 a)) (*.f64 (+.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) 3) (pow.f64 (*.f64 b a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))))

simplify221.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1056×	`associate-/l*`
928×	`associate-r`
924×	`*-commutative`
908×	`associate-*r/`
904×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	555	11489
1	1768	11221
2	7986	11221

Stop Event

1×	node limit

Counts

243 → 305

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 (PI.f64) a))
(+.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 3) (PI.f64)) (pow.f64 a 4))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))))
(*.f64 1/2 (/.f64 (PI.f64) b))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 2))) (*.f64 1/2 (/.f64 (PI.f64) b)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 3) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3))))))
(*.f64 1/2 (/.f64 (PI.f64) b))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 2))) (*.f64 1/2 (/.f64 (PI.f64) b)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 3) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3))))))
(*.f64 1/2 (/.f64 (PI.f64) b))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 2))) (*.f64 1/2 (/.f64 (PI.f64) b)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 3) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3))))))
(*.f64 1/2 (/.f64 (PI.f64) a))
(+.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 3) (PI.f64)) (pow.f64 a 4))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))))
(*.f64 1/2 (/.f64 (PI.f64) a))
(+.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 3) (PI.f64)) (pow.f64 a 4))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(+.f64 (.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) (.f64 (/.f64 (.f64 (PI.f64) 1/2) (fma.f64 b b (neg.f64 (.f64 a a)))) (fma.f64 (neg.f64 a) 1 a)))
(+.f64 (.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) (.f64 (/.f64 (.f64 (PI.f64) 1/2) (fma.f64 b b (neg.f64 (.f64 a a)))) (fma.f64 (neg.f64 (sqrt.f64 a)) (sqrt.f64 a) a)))
(+.f64 (.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) (.f64 (/.f64 (.f64 (PI.f64) 1/2) (fma.f64 b b (neg.f64 (.f64 a a)))) (fma.f64 (neg.f64 (cbrt.f64 a)) (pow.f64 (cbrt.f64 a) 2) a)))
(+.f64 (.f64 (/.f64 (.f64 (PI.f64) 1/2) (fma.f64 b b (neg.f64 (.f64 a a)))) b) (.f64 (/.f64 (.f64 (PI.f64) 1/2) (fma.f64 b b (neg.f64 (.f64 a a)))) (neg.f64 a)))
(+.f64 (.f64 (/.f64 (.f64 (PI.f64) 1/2) (fma.f64 b b (neg.f64 (.f64 a a)))) b) (.f64 (/.f64 (.f64 (PI.f64) 1/2) (fma.f64 b b (neg.f64 (.f64 a a)))) (*.f64 -1 a)))
(+.f64 (.f64 (/.f64 (.f64 (PI.f64) 1/2) (fma.f64 b b (neg.f64 (.f64 a a)))) b) (.f64 (/.f64 (.f64 (PI.f64) 1/2) (fma.f64 b b (neg.f64 (.f64 a a)))) (*.f64 (neg.f64 (sqrt.f64 a)) (sqrt.f64 a))))
(+.f64 (.f64 (/.f64 (.f64 (PI.f64) 1/2) (fma.f64 b b (neg.f64 (.f64 a a)))) b) (.f64 (/.f64 (.f64 (PI.f64) 1/2) (fma.f64 b b (neg.f64 (.f64 a a)))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))
(+.f64 (.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 b b)) (.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 a (-.f64 a b))))
(+.f64 (.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 a (-.f64 a b))) (.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 b b)))
(+.f64 (.f64 b (/.f64 (.f64 (PI.f64) 1/2) (fma.f64 b b (neg.f64 (.f64 a a))))) (.f64 (neg.f64 a) (/.f64 (.f64 (PI.f64) 1/2) (fma.f64 b b (neg.f64 (.f64 a a))))))
(+.f64 (.f64 b (/.f64 (.f64 (PI.f64) 1/2) (fma.f64 b b (neg.f64 (.f64 a a))))) (.f64 (.f64 -1 a) (/.f64 (.f64 (PI.f64) 1/2) (fma.f64 b b (neg.f64 (*.f64 a a))))))
(+.f64 (.f64 b (/.f64 (.f64 (PI.f64) 1/2) (fma.f64 b b (neg.f64 (.f64 a a))))) (.f64 (.f64 (neg.f64 (sqrt.f64 a)) (sqrt.f64 a)) (/.f64 (.f64 (PI.f64) 1/2) (fma.f64 b b (neg.f64 (*.f64 a a))))))
(+.f64 (.f64 b (/.f64 (.f64 (PI.f64) 1/2) (fma.f64 b b (neg.f64 (.f64 a a))))) (.f64 (.f64 (neg.f64 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)) (/.f64 (.f64 (PI.f64) 1/2) (fma.f64 b b (neg.f64 (*.f64 a a))))))
(+.f64 (.f64 (-.f64 b a) (/.f64 (.f64 (PI.f64) 1/2) (fma.f64 b b (neg.f64 (.f64 a a))))) (.f64 (fma.f64 (neg.f64 a) 1 a) (/.f64 (.f64 (PI.f64) 1/2) (fma.f64 b b (neg.f64 (.f64 a a))))))
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(.f64 (/.f64 (/.f64 1 (.f64 b a)) (/.f64 (+.f64 b a) (sqrt.f64 (.f64 (PI.f64) 1/2)))) (sqrt.f64 (.f64 (PI.f64) 1/2)))
(.f64 (/.f64 (/.f64 1 (.f64 b a)) (/.f64 (+.f64 b a) (cbrt.f64 (.f64 1/4 (pow.f64 (PI.f64) 2))))) (cbrt.f64 (.f64 (PI.f64) 1/2)))
(.f64 (/.f64 (.f64 (PI.f64) (/.f64 1 (*.f64 b a))) (+.f64 b a)) 1/2)
(.f64 (/.f64 (.f64 (PI.f64) (/.f64 1 (*.f64 b a))) 1) (/.f64 1/2 (+.f64 b a)))
(.f64 (/.f64 (.f64 (PI.f64) (/.f64 1 (*.f64 b a))) (sqrt.f64 (+.f64 b a))) (/.f64 1/2 (sqrt.f64 (+.f64 b a))))
(.f64 (/.f64 (.f64 (PI.f64) (/.f64 1 (*.f64 b a))) (pow.f64 (cbrt.f64 (+.f64 b a)) 2)) (/.f64 1/2 (cbrt.f64 (+.f64 b a))))
(.f64 (/.f64 (.f64 (PI.f64) (/.f64 1 (.f64 b a))) (fma.f64 b b (neg.f64 (.f64 a a)))) (*.f64 1/2 (-.f64 b a)))
(.f64 (/.f64 (.f64 (PI.f64) (/.f64 1 (.f64 b a))) (+.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 1/2 (fma.f64 b b (*.f64 a (-.f64 a b)))))
(.f64 (/.f64 (.f64 (PI.f64) (/.f64 1 (*.f64 b a))) (neg.f64 (+.f64 b a))) -1/2)
(.f64 (/.f64 (.f64 (.f64 (PI.f64) 1/2) (/.f64 1 (.f64 b a))) 1) (/.f64 (-.f64 b a) (fma.f64 b b (neg.f64 (*.f64 a a)))))
(.f64 (/.f64 (.f64 (.f64 (PI.f64) 1/2) (/.f64 1 (.f64 b a))) 1) (/.f64 (fma.f64 b b (*.f64 a (-.f64 a b))) (+.f64 (pow.f64 b 3) (pow.f64 a 3))))
(.f64 (/.f64 (.f64 (.f64 (PI.f64) 1/2) (/.f64 1 (.f64 b a))) (fma.f64 b b (neg.f64 (*.f64 a a)))) (-.f64 b a))
(.f64 (/.f64 (.f64 (.f64 (PI.f64) 1/2) (/.f64 1 (.f64 b a))) (+.f64 (pow.f64 b 3) (pow.f64 a 3))) (fma.f64 b b (*.f64 a (-.f64 a b))))
(.f64 (/.f64 (.f64 (.f64 (PI.f64) 1/2) (/.f64 1 (.f64 b a))) (neg.f64 (fma.f64 b b (neg.f64 (*.f64 a a))))) (neg.f64 (-.f64 b a)))
(.f64 (/.f64 (.f64 (.f64 (PI.f64) 1/2) (/.f64 1 (.f64 b a))) (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b)))))
(.f64 (/.f64 (.f64 (.f64 (PI.f64) 1/2) (/.f64 1 (.f64 b a))) (-.f64 (.f64 a a) (.f64 b b))) (-.f64 a b))
(.f64 (/.f64 (.f64 (.f64 (PI.f64) -1/2) (/.f64 1 (.f64 b a))) (neg.f64 (fma.f64 b b (neg.f64 (*.f64 a a))))) (-.f64 b a))
(.f64 (/.f64 (.f64 (.f64 (PI.f64) -1/2) (/.f64 1 (.f64 b a))) (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)))) (fma.f64 b b (*.f64 a (-.f64 a b))))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (.f64 b a)) 1) (/.f64 (-.f64 b a) (fma.f64 b b (neg.f64 (.f64 a a)))))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (.f64 b a)) 1) (/.f64 (fma.f64 b b (.f64 a (-.f64 a b))) (+.f64 (pow.f64 b 3) (pow.f64 a 3))))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (.f64 b a)) (fma.f64 b b (neg.f64 (.f64 a a)))) (-.f64 b a))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (.f64 b a)) (+.f64 (pow.f64 b 3) (pow.f64 a 3))) (fma.f64 b b (.f64 a (-.f64 a b))))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (.f64 b a)) (neg.f64 (fma.f64 b b (neg.f64 (.f64 a a))))) (neg.f64 (-.f64 b a)))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (.f64 b a)) (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)))) (neg.f64 (fma.f64 b b (.f64 a (-.f64 a b)))))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (.f64 b a)) (-.f64 (.f64 a a) (*.f64 b b))) (-.f64 a b))
(pow.f64 (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 (+.f64 b a))) 1)
(pow.f64 (sqrt.f64 (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 (+.f64 b a))) 3) 1/3)
(pow.f64 (.f64 (/.f64 a (PI.f64)) (.f64 b (*.f64 (+.f64 b a) 2))) -1)
(neg.f64 (/.f64 (PI.f64) (.f64 (.f64 b (neg.f64 a)) (*.f64 (+.f64 b a) 2))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 (+.f64 b a))) 2))
(log.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 (+.f64 b a)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 (+.f64 b a))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 (+.f64 b a))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) 3) (pow.f64 (.f64 b a) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 (+.f64 b a)))))
(exp.f64 (log.f64 (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 (+.f64 b a)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 (+.f64 b a)))))

Outputs
(*.f64 1/2 (/.f64 (PI.f64) a))
(+.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))
(fma.f64 1/2 (/.f64 (PI.f64) a) (.f64 -1/2 (/.f64 b (/.f64 (.f64 a a) (PI.f64)))))
(fma.f64 1/2 (/.f64 (PI.f64) a) (/.f64 (.f64 (.f64 (PI.f64) -1/2) b) (*.f64 a a)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2)))))
(fma.f64 1/2 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 3) (PI.f64))) (fma.f64 1/2 (/.f64 (PI.f64) a) (.f64 -1/2 (/.f64 b (/.f64 (*.f64 a a) (PI.f64))))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 b b) (pow.f64 a 3)) (PI.f64)) (fma.f64 1/2 (/.f64 (PI.f64) a) (/.f64 (.f64 (.f64 (PI.f64) -1/2) b) (*.f64 a a))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 3) (PI.f64)) (pow.f64 a 4))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))))
(fma.f64 1/2 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 3) (PI.f64))) (fma.f64 -1/2 (/.f64 (pow.f64 b 3) (/.f64 (pow.f64 a 4) (PI.f64))) (fma.f64 1/2 (/.f64 (PI.f64) a) (.f64 -1/2 (/.f64 b (/.f64 (*.f64 a a) (PI.f64)))))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 b b) (pow.f64 a 3)) (PI.f64)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 4)) (PI.f64)) (fma.f64 1/2 (/.f64 (PI.f64) a) (/.f64 (.f64 (.f64 (PI.f64) -1/2) b) (.f64 a a)))))
(*.f64 1/2 (/.f64 (PI.f64) b))
(/.f64 1/2 (/.f64 b (PI.f64)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 2))) (*.f64 1/2 (/.f64 (PI.f64) b)))
(fma.f64 -1/2 (/.f64 a (/.f64 (.f64 b b) (PI.f64))) (.f64 1/2 (/.f64 (PI.f64) b)))
(fma.f64 -1/2 (.f64 (/.f64 a (.f64 b b)) (PI.f64)) (/.f64 1/2 (/.f64 b (PI.f64))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3)))))
(fma.f64 -1/2 (/.f64 a (/.f64 (.f64 b b) (PI.f64))) (.f64 1/2 (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 3) (PI.f64))))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) (/.f64 (pow.f64 b 3) (.f64 a a)))) (.f64 -1/2 (.f64 (/.f64 a (.f64 b b)) (PI.f64))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 3) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3))))))
(fma.f64 -1/2 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 4) (PI.f64))) (fma.f64 -1/2 (/.f64 a (/.f64 (.f64 b b) (PI.f64))) (.f64 1/2 (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 3) (PI.f64)))))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (PI.f64)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) (/.f64 (pow.f64 b 3) (.f64 a a)))) (.f64 -1/2 (.f64 (/.f64 a (*.f64 b b)) (PI.f64)))))
(*.f64 1/2 (/.f64 (PI.f64) b))
(/.f64 1/2 (/.f64 b (PI.f64)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 2))) (*.f64 1/2 (/.f64 (PI.f64) b)))
(fma.f64 -1/2 (/.f64 a (/.f64 (.f64 b b) (PI.f64))) (.f64 1/2 (/.f64 (PI.f64) b)))
(fma.f64 -1/2 (.f64 (/.f64 a (.f64 b b)) (PI.f64)) (/.f64 1/2 (/.f64 b (PI.f64))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3)))))
(fma.f64 -1/2 (/.f64 a (/.f64 (.f64 b b) (PI.f64))) (.f64 1/2 (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 3) (PI.f64))))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) (/.f64 (pow.f64 b 3) (.f64 a a)))) (.f64 -1/2 (.f64 (/.f64 a (.f64 b b)) (PI.f64))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 3) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3))))))
(fma.f64 -1/2 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 4) (PI.f64))) (fma.f64 -1/2 (/.f64 a (/.f64 (.f64 b b) (PI.f64))) (.f64 1/2 (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 3) (PI.f64)))))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (PI.f64)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) (/.f64 (pow.f64 b 3) (.f64 a a)))) (.f64 -1/2 (.f64 (/.f64 a (*.f64 b b)) (PI.f64)))))
(*.f64 1/2 (/.f64 (PI.f64) b))
(/.f64 1/2 (/.f64 b (PI.f64)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 2))) (*.f64 1/2 (/.f64 (PI.f64) b)))
(fma.f64 -1/2 (/.f64 a (/.f64 (.f64 b b) (PI.f64))) (.f64 1/2 (/.f64 (PI.f64) b)))
(fma.f64 -1/2 (.f64 (/.f64 a (.f64 b b)) (PI.f64)) (/.f64 1/2 (/.f64 b (PI.f64))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3)))))
(fma.f64 -1/2 (/.f64 a (/.f64 (.f64 b b) (PI.f64))) (.f64 1/2 (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 3) (PI.f64))))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) (/.f64 (pow.f64 b 3) (.f64 a a)))) (.f64 -1/2 (.f64 (/.f64 a (.f64 b b)) (PI.f64))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 3) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3))))))
(fma.f64 -1/2 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 4) (PI.f64))) (fma.f64 -1/2 (/.f64 a (/.f64 (.f64 b b) (PI.f64))) (.f64 1/2 (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 3) (PI.f64)))))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (PI.f64)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) (/.f64 (pow.f64 b 3) (.f64 a a)))) (.f64 -1/2 (.f64 (/.f64 a (*.f64 b b)) (PI.f64)))))
(*.f64 1/2 (/.f64 (PI.f64) a))
(+.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))
(fma.f64 1/2 (/.f64 (PI.f64) a) (.f64 -1/2 (/.f64 b (/.f64 (.f64 a a) (PI.f64)))))
(fma.f64 1/2 (/.f64 (PI.f64) a) (/.f64 (.f64 (.f64 (PI.f64) -1/2) b) (*.f64 a a)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2)))))
(fma.f64 1/2 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 3) (PI.f64))) (fma.f64 1/2 (/.f64 (PI.f64) a) (.f64 -1/2 (/.f64 b (/.f64 (*.f64 a a) (PI.f64))))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 b b) (pow.f64 a 3)) (PI.f64)) (fma.f64 1/2 (/.f64 (PI.f64) a) (/.f64 (.f64 (.f64 (PI.f64) -1/2) b) (*.f64 a a))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 3) (PI.f64)) (pow.f64 a 4))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))))
(fma.f64 1/2 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 3) (PI.f64))) (fma.f64 -1/2 (/.f64 (pow.f64 b 3) (/.f64 (pow.f64 a 4) (PI.f64))) (fma.f64 1/2 (/.f64 (PI.f64) a) (.f64 -1/2 (/.f64 b (/.f64 (*.f64 a a) (PI.f64)))))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 b b) (pow.f64 a 3)) (PI.f64)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 4)) (PI.f64)) (fma.f64 1/2 (/.f64 (PI.f64) a) (/.f64 (.f64 (.f64 (PI.f64) -1/2) b) (.f64 a a)))))
(*.f64 1/2 (/.f64 (PI.f64) a))
(+.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))
(fma.f64 1/2 (/.f64 (PI.f64) a) (.f64 -1/2 (/.f64 b (/.f64 (.f64 a a) (PI.f64)))))
(fma.f64 1/2 (/.f64 (PI.f64) a) (/.f64 (.f64 (.f64 (PI.f64) -1/2) b) (*.f64 a a)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2)))))
(fma.f64 1/2 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 3) (PI.f64))) (fma.f64 1/2 (/.f64 (PI.f64) a) (.f64 -1/2 (/.f64 b (/.f64 (*.f64 a a) (PI.f64))))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 b b) (pow.f64 a 3)) (PI.f64)) (fma.f64 1/2 (/.f64 (PI.f64) a) (/.f64 (.f64 (.f64 (PI.f64) -1/2) b) (*.f64 a a))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 3) (PI.f64)) (pow.f64 a 4))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))))
(fma.f64 1/2 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 3) (PI.f64))) (fma.f64 -1/2 (/.f64 (pow.f64 b 3) (/.f64 (pow.f64 a 4) (PI.f64))) (fma.f64 1/2 (/.f64 (PI.f64) a) (.f64 -1/2 (/.f64 b (/.f64 (*.f64 a a) (PI.f64)))))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 b b) (pow.f64 a 3)) (PI.f64)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 4)) (PI.f64)) (fma.f64 1/2 (/.f64 (PI.f64) a) (/.f64 (.f64 (.f64 (PI.f64) -1/2) b) (.f64 a a)))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a)))))
(fma.f64 1/2 (/.f64 (PI.f64) (.f64 b (.f64 a a))) (/.f64 (*.f64 (PI.f64) -1/2) (pow.f64 a 3)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))))
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(.f64 (fma.f64 b b (.f64 a (-.f64 a b))) (.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 1/2 (+.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(.f64 (/.f64 1/2 (/.f64 b (PI.f64))) (/.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (+.f64 (pow.f64 a 4) (*.f64 (pow.f64 b 3) a))))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (.f64 b a)) (neg.f64 (fma.f64 b b (neg.f64 (.f64 a a))))) (neg.f64 (-.f64 b a)))
(.f64 (neg.f64 (-.f64 b a)) (/.f64 (.f64 (PI.f64) (.f64 1/2 (/.f64 (/.f64 1 b) a))) (neg.f64 (fma.f64 b b (.f64 a (neg.f64 a))))))
(.f64 (-.f64 a b) (/.f64 (.f64 -1/2 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a)))) (*.f64 a b)))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (.f64 b a)) (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)))) (neg.f64 (fma.f64 b b (.f64 a (-.f64 a b)))))
(.f64 (neg.f64 (fma.f64 b b (.f64 a (-.f64 a b)))) (/.f64 (*.f64 1/2 (PI.f64)) (/.f64 (neg.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (/.f64 (/.f64 1 b) a))))
(.f64 (neg.f64 (fma.f64 a (-.f64 a b) (.f64 b b))) (/.f64 (.f64 -1/2 (/.f64 (PI.f64) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))) (.f64 a b)))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (.f64 b a)) (-.f64 (.f64 a a) (*.f64 b b))) (-.f64 a b))
(.f64 (-.f64 a b) (/.f64 (.f64 1/2 (PI.f64)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (/.f64 (/.f64 1 b) a))))
(.f64 (.f64 (PI.f64) (/.f64 1/2 (.f64 (+.f64 a b) (.f64 a b)))) (/.f64 (-.f64 a b) (-.f64 a b)))
(pow.f64 (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 (+.f64 b a))) 1)
(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 (+.f64 a b) (*.f64 a b))))
(pow.f64 (sqrt.f64 (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 2)
(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 (+.f64 a b) (*.f64 a b))))
(pow.f64 (cbrt.f64 (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 3)
(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 (+.f64 a b) (*.f64 a b))))
(pow.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 (+.f64 b a))) 3) 1/3)
(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 (+.f64 a b) (*.f64 a b))))
(pow.f64 (.f64 (/.f64 a (PI.f64)) (.f64 b (*.f64 (+.f64 b a) 2))) -1)
(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 (+.f64 a b) (*.f64 a b))))
(neg.f64 (/.f64 (PI.f64) (.f64 (.f64 b (neg.f64 a)) (*.f64 (+.f64 b a) 2))))
(/.f64 (neg.f64 (PI.f64)) (.f64 (.f64 (*.f64 b (neg.f64 a)) (+.f64 a b)) 2))
(/.f64 (neg.f64 (PI.f64)) (.f64 2 (.f64 (-.f64 (neg.f64 a) b) (*.f64 a b))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 (+.f64 b a))) 2))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b))) 2))
(fabs.f64 (.f64 (PI.f64) (/.f64 1/2 (.f64 (+.f64 a b) (*.f64 a b)))))
(log.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 (+.f64 b a)))))
(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 (+.f64 a b) (*.f64 a b))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 (+.f64 b a))))))
(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 (+.f64 a b) (*.f64 a b))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 (+.f64 b a))) 3))
(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 (+.f64 a b) (*.f64 a b))))
(cbrt.f64 (/.f64 (pow.f64 (.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) 3) (pow.f64 (.f64 b a) 3)))
(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 (+.f64 a b) (*.f64 a b))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 (+.f64 b a)))))
(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 (+.f64 a b) (*.f64 a b))))
(exp.f64 (log.f64 (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 (+.f64 b a)))))
(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 (+.f64 a b) (*.f64 a b))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 1))
(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 (+.f64 a b) (*.f64 a b))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 (+.f64 b a)))))
(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 (+.f64 a b) (*.f64 a b))))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.97%	(/.f64 (PI.f64) (*.f64 a a))
✓	12.47%	(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)

Compiler

Compiled 30 to 9 computations (70% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
1.0ms	a	@	0	(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
0.0ms	a	@	inf	(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
0.0ms	b	@	inf	(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
0.0ms	b	@	-inf	(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`*-commutative`
762×	`unswap-sqr`
624×	`swap-sqr`
548×	`associate-/l/`
472×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	192	36
2	2762	36

Stop Event

1×	node limit

Counts

2 → 152

Calls

Call 1

Inputs
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (PI.f64) (*.f64 a a))

Outputs

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b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 a -2) b) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (sqrt.f64 b)) (/.f64 (pow.f64 a -2) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 a -2) (sqrt.f64 b)) (/.f64 (PI.f64) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (pow.f64 a -2) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 a -2) (cbrt.f64 b)) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 a b)) (/.f64 (sqrt.f64 (PI.f64)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 b) 2) a)) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (cbrt.f64 b)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1 b) (/.f64 (PI.f64) (*.f64 a (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a (neg.f64 a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (*.f64 b (/.f64 a (PI.f64)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 a -2) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 a -2) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 a -2) b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 a -2)) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 a -2) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 a -2) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 a -2) b))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 a -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (PI.f64) (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 a -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (pow.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (neg.f64 (neg.f64 (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (pow.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (PI.f64) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (/.f64 (sqrt.f64 (PI.f64)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (/.f64 (*.f64 a a) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 a -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 a -2))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 1 (/.f64 (*.f64 a a) (cbrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) a) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -2) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (PI.f64)) (neg.f64 (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 a (neg.f64 a)))) (neg.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 a (neg.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 a (neg.f64 a)))) (cbrt.f64 (/.f64 (PI.f64) (*.f64 a (neg.f64 a))))) (neg.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 a (neg.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 (PI.f64) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 4)) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 a) 4)) (/.f64 1 (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) 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(#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a (neg.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (pow.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 a -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 a 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (pow.f64 a -2))))))))

simplify96.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1434×	`distribute-rgt-in`
1416×	`distribute-lft-in`
694×	`associate-/r/`
654×	`distribute-lft-neg-out`
604×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	345	5058
1	925	4778
2	3600	4778

Stop Event

1×	node limit

Counts

188 → 196

Calls

Call 1

Inputs
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(/.f64 (PI.f64) (pow.f64 a 2))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 a -2) b)))) -1)
(-.f64 0 (/.f64 (PI.f64) (.f64 (.f64 a a) (neg.f64 b))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 a -2) b)))) 1)
(*.f64 (PI.f64) (/.f64 (pow.f64 a -2) b))
(.f64 (.f64 (PI.f64) (pow.f64 a -2)) (/.f64 1 b))
(.f64 (.f64 (PI.f64) (/.f64 (pow.f64 a -2) b)) 1)
(.f64 1 (.f64 (PI.f64) (/.f64 (pow.f64 a -2) b)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (sqrt.f64 b)) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (sqrt.f64 b)))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (/.f64 (sqrt.f64 (PI.f64)) (.f64 a b)))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (/.f64 (.f64 a (*.f64 a b)) (sqrt.f64 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (/.f64 (pow.f64 a -2) b))) (cbrt.f64 (pow.f64 (.f64 a (.f64 b (/.f64 a (PI.f64)))) -2)))
(.f64 (cbrt.f64 (.f64 (PI.f64) (/.f64 (pow.f64 a -2) b))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)) (pow.f64 (cbrt.f64 b) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 a (.f64 b (/.f64 a (PI.f64)))) -2)) (cbrt.f64 (.f64 (PI.f64) (/.f64 (pow.f64 a -2) b))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)) (/.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))) b))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 1 (/.f64 (.f64 a (*.f64 a b)) (cbrt.f64 (PI.f64)))))
(.f64 (/.f64 (PI.f64) a) (/.f64 1 (.f64 a b)))
(.f64 (/.f64 1 b) (.f64 (PI.f64) (pow.f64 a -2)))
(.f64 (/.f64 (PI.f64) (.f64 a (neg.f64 a))) (/.f64 1 (neg.f64 b)))
(.f64 (neg.f64 (PI.f64)) (/.f64 1 (.f64 (*.f64 a a) (neg.f64 b))))
(*.f64 (/.f64 (PI.f64) b) (pow.f64 a -2))
(.f64 (.f64 (/.f64 (PI.f64) a) (/.f64 1 b)) (/.f64 1 a))
(*.f64 (neg.f64 (/.f64 (PI.f64) b)) (neg.f64 (pow.f64 a -2)))
(.f64 (/.f64 1 (sqrt.f64 b)) (/.f64 (PI.f64) (.f64 (*.f64 a a) (sqrt.f64 b))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (PI.f64) (.f64 (*.f64 a a) (cbrt.f64 b))))
(.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) (sqrt.f64 b))) (/.f64 1 (sqrt.f64 b)))
(.f64 (/.f64 (PI.f64) (.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 a a))) (/.f64 1 (cbrt.f64 b)))
(.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) (cbrt.f64 b))) (/.f64 1 (pow.f64 (cbrt.f64 b) 2)))
(.f64 -1 (/.f64 (PI.f64) (.f64 (*.f64 a a) (neg.f64 b))))
(.f64 (/.f64 1 (neg.f64 b)) (/.f64 (PI.f64) (.f64 a (neg.f64 a))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) b) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 a -2)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 a -2)) (/.f64 (sqrt.f64 (PI.f64)) b))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) b) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 a -2)))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (pow.f64 a -2)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) b))
(*.f64 (/.f64 (pow.f64 a -2) b) (PI.f64))
(*.f64 (/.f64 (PI.f64) (sqrt.f64 b)) (/.f64 (pow.f64 a -2) (sqrt.f64 b)))
(*.f64 (/.f64 (pow.f64 a -2) (sqrt.f64 b)) (/.f64 (PI.f64) (sqrt.f64 b)))
(*.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (pow.f64 a -2) (cbrt.f64 b)))
(*.f64 (/.f64 (pow.f64 a -2) (cbrt.f64 b)) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 b) 2)))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 a b)) (/.f64 (sqrt.f64 (PI.f64)) a))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 (cbrt.f64 b) 2) a)) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (cbrt.f64 b)))
(.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (cbrt.f64 b)) (/.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 (cbrt.f64 b) 2) a)))
(.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))) b) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)) (sqrt.f64 b)) (/.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))) (sqrt.f64 b)))
(.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))) (sqrt.f64 b)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)) (sqrt.f64 b)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (.f64 (PI.f64) (/.f64 (pow.f64 a -2) b))))
(*.f64 (/.f64 1 (/.f64 b (PI.f64))) (pow.f64 a -2))
(.f64 (/.f64 1 (/.f64 b (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)))) (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 a (*.f64 a b))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)) b) (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 a (*.f64 a b))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 1 b) a) (/.f64 (PI.f64) a))
(.f64 (/.f64 (/.f64 1 b) (.f64 a a)) (PI.f64))
(.f64 (/.f64 (/.f64 1 b) 1) (.f64 (PI.f64) (pow.f64 a -2)))
(*.f64 (/.f64 (/.f64 1 b) (pow.f64 (cbrt.f64 a) 4)) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 a) 2)))
(.f64 (/.f64 (/.f64 1 b) (.f64 a (neg.f64 a))) (neg.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 1 b) (/.f64 (.f64 a a) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 1 b) (/.f64 (.f64 a a) (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) (/.f64 (pow.f64 a -2) b)))) (cbrt.f64 (.f64 (PI.f64) (/.f64 (pow.f64 a -2) b)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) (/.f64 (pow.f64 a -2) b)))) (cbrt.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 a -2) b)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (sqrt.f64 b))) (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 a (.f64 b (/.f64 a (PI.f64)))) -2)))) (.f64 (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (sqrt.f64 b))) (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 a (*.f64 b (/.f64 a (PI.f64)))) -2)))))
(.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (/.f64 (pow.f64 a -2) b))) (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) (/.f64 (pow.f64 a -2) b))))) (.f64 (cbrt.f64 (.f64 (PI.f64) (/.f64 (pow.f64 a -2) b))) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 a -2) b))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 a (.f64 b (/.f64 a (PI.f64)))) -2))) (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (sqrt.f64 b)))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 a (*.f64 b (/.f64 a (PI.f64)))) -2))) (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (sqrt.f64 b)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (/.f64 (pow.f64 a -2) b))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 a -2) b))) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (/.f64 (pow.f64 a -2) b)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 a -2) b)) 3) 1/6))
(.f64 (pow.f64 (.f64 a (.f64 b (/.f64 a (PI.f64)))) -1/2) (pow.f64 (.f64 a (*.f64 b (/.f64 a (PI.f64)))) -1/2))
(pow.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 a -2) b)) 1)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (sqrt.f64 b)) 2)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 a -2) b))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 a -2) b)) 3) 1/3)
(pow.f64 (.f64 a (.f64 b (/.f64 a (PI.f64)))) -1)
(neg.f64 (/.f64 (PI.f64) (.f64 (.f64 a a) (neg.f64 b))))
(neg.f64 (.f64 (/.f64 (PI.f64) (.f64 a (neg.f64 a))) (/.f64 1 b)))
(neg.f64 (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) (neg.f64 b))) 1))
(neg.f64 (.f64 1 (/.f64 (PI.f64) (.f64 (*.f64 a a) (neg.f64 b)))))
(neg.f64 (.f64 (/.f64 1 b) (/.f64 (PI.f64) (.f64 a (neg.f64 a)))))
(neg.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a (neg.f64 a))) b))
(sqrt.f64 (pow.f64 (.f64 a (.f64 b (/.f64 a (PI.f64)))) -2))
(log.f64 (exp.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 a -2) b))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 a -2) b)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 a -2) b)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 a -2)) 3) (pow.f64 b 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 a -2) b))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 a -2) b))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 a -2) b))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 a -2)))) -1)
(-.f64 0 (/.f64 (PI.f64) (*.f64 a (neg.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 a -2)))) 1)
(*.f64 (PI.f64) (pow.f64 a -2))
(*.f64 (PI.f64) (neg.f64 (neg.f64 (pow.f64 a -2))))
(.f64 (.f64 (PI.f64) (pow.f64 a -2)) 1)
(.f64 1 (.f64 (PI.f64) (pow.f64 a -2)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (/.f64 (sqrt.f64 (PI.f64)) a))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) a)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 a -2)))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (/.f64 (.f64 a a) (sqrt.f64 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)))
(.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 a) 4)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)) (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)) (neg.f64 (neg.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))))))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 a -2)))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 1 (/.f64 (.f64 a a) (cbrt.f64 (PI.f64)))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1 a))
(*.f64 (pow.f64 a -2) (PI.f64))
(*.f64 (neg.f64 (PI.f64)) (neg.f64 (pow.f64 a -2)))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (.f64 a (neg.f64 a)))) (neg.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 a (neg.f64 a))))))
(.f64 (.f64 (cbrt.f64 (/.f64 (PI.f64) (.f64 a (neg.f64 a)))) (cbrt.f64 (/.f64 (PI.f64) (.f64 a (neg.f64 a))))) (neg.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 a (neg.f64 a))))))
(*.f64 (/.f64 1 a) (/.f64 (PI.f64) a))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 4)) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 a) 2)))
(*.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 a) 4)) (/.f64 1 (pow.f64 (cbrt.f64 a) 2)))
(.f64 (/.f64 (PI.f64) (.f64 a (sqrt.f64 a))) (/.f64 1 (sqrt.f64 a)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) (pow.f64 (cbrt.f64 a) 2)) (/.f64 1 (cbrt.f64 a)))
(*.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 a) 2)) (/.f64 1 (pow.f64 (cbrt.f64 a) 4)))
(.f64 -1 (/.f64 (PI.f64) (.f64 a (neg.f64 a))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) a) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) a))
(.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4))) (neg.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2)))))
(*.f64 (neg.f64 (pow.f64 a -2)) (neg.f64 (PI.f64)))
(*.f64 (/.f64 (PI.f64) (neg.f64 a)) (/.f64 1 (neg.f64 a)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 a -2)) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (pow.f64 a -2)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) a) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) a))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 a) 4)) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 a) 2)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 a) 4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) a) (/.f64 (cbrt.f64 (PI.f64)) a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 a) 4)) (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))))
(.f64 (/.f64 1 (/.f64 (.f64 a a) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 1 (/.f64 (.f64 a a) (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 a a)) (cbrt.f64 (PI.f64)))
(.f64 (neg.f64 (sqrt.f64 (/.f64 (PI.f64) (.f64 a (neg.f64 a))))) (sqrt.f64 (/.f64 (PI.f64) (*.f64 a (neg.f64 a)))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (PI.f64) (.f64 a (neg.f64 a)))) (cbrt.f64 (/.f64 (PI.f64) (.f64 a (neg.f64 a)))))) (cbrt.f64 (/.f64 (PI.f64) (*.f64 a (neg.f64 a)))))
(*.f64 (neg.f64 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) a)) (/.f64 (sqrt.f64 (PI.f64)) a))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)))) (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2)))) (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2)))) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 a -2)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) a)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) a)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)))))
(.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))) (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))))) (.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 a -2))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) a))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) a))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 a -2))) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 a -2)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 a -2)) 3) 1/6))
(.f64 (pow.f64 (/.f64 (.f64 a a) (PI.f64)) -1/2) (pow.f64 (/.f64 (*.f64 a a) (PI.f64)) -1/2))
(pow.f64 (*.f64 (PI.f64) (pow.f64 a -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 2)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 a -2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 a -2)) 3) 1/3)
(pow.f64 (/.f64 (*.f64 a a) (PI.f64)) -1)
(neg.f64 (/.f64 (PI.f64) (*.f64 a (neg.f64 a))))
(neg.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a (neg.f64 a))) 1))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (pow.f64 a -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (pow.f64 a -2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 a -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 a 6)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 a -2))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (pow.f64 a -2))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (pow.f64 a -2))))

Outputs
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(*.f64 (PI.f64) (/.f64 (pow.f64 a -2) b))
(*.f64 (pow.f64 a -2) (/.f64 (PI.f64) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(*.f64 (PI.f64) (/.f64 (pow.f64 a -2) b))
(*.f64 (pow.f64 a -2) (/.f64 (PI.f64) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(*.f64 (PI.f64) (/.f64 (pow.f64 a -2) b))
(*.f64 (pow.f64 a -2) (/.f64 (PI.f64) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(*.f64 (PI.f64) (/.f64 (pow.f64 a -2) b))
(*.f64 (pow.f64 a -2) (/.f64 (PI.f64) b))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
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(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)) (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)) (cbrt.f64 (/.f64 (PI.f64) (.f64 a a))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 a) 4)))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (.f64 a a))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 a) 4)))
(.f64 (/.f64 (cbrt.f64 (/.f64 (PI.f64) (.f64 a a))) (pow.f64 (cbrt.f64 a) 4)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)) (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)) (cbrt.f64 (/.f64 (PI.f64) (.f64 a a))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)) (neg.f64 (neg.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)) (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)) (cbrt.f64 (/.f64 (PI.f64) (.f64 a a))))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 a -2)))
(/.f64 (PI.f64) (*.f64 a a))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 1 (/.f64 (.f64 a a) (cbrt.f64 (PI.f64)))))
(/.f64 (PI.f64) (*.f64 a a))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1 a))
(/.f64 (PI.f64) (*.f64 a a))
(*.f64 (pow.f64 a -2) (PI.f64))
(/.f64 (PI.f64) (*.f64 a a))
(*.f64 (neg.f64 (PI.f64)) (neg.f64 (pow.f64 a -2)))
(/.f64 (PI.f64) (*.f64 a a))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (.f64 a (neg.f64 a)))) (neg.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 a (neg.f64 a))))))
(/.f64 (neg.f64 (PI.f64)) (*.f64 a (neg.f64 a)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 a a)))
(.f64 (.f64 (cbrt.f64 (/.f64 (PI.f64) (.f64 a (neg.f64 a)))) (cbrt.f64 (/.f64 (PI.f64) (.f64 a (neg.f64 a))))) (neg.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 a (neg.f64 a))))))
(/.f64 (neg.f64 (PI.f64)) (*.f64 a (neg.f64 a)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 a a)))
(*.f64 (/.f64 1 a) (/.f64 (PI.f64) a))
(/.f64 (PI.f64) (*.f64 a a))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 4)) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 a) 2)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 4)) (PI.f64)) (pow.f64 (cbrt.f64 a) 2))
(/.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 a) 2)) (pow.f64 (cbrt.f64 a) 4))
(*.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 a) 4)) (/.f64 1 (pow.f64 (cbrt.f64 a) 2)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 4)) (PI.f64)) (pow.f64 (cbrt.f64 a) 2))
(/.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 a) 2)) (pow.f64 (cbrt.f64 a) 4))
(.f64 (/.f64 (PI.f64) (.f64 a (sqrt.f64 a))) (/.f64 1 (sqrt.f64 a)))
(/.f64 (/.f64 (PI.f64) (*.f64 a (sqrt.f64 a))) (sqrt.f64 a))
(/.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 a)) a) (sqrt.f64 a))
(*.f64 (/.f64 (/.f64 (PI.f64) a) (pow.f64 (cbrt.f64 a) 2)) (/.f64 1 (cbrt.f64 a)))
(.f64 (/.f64 (PI.f64) (.f64 (pow.f64 (cbrt.f64 a) 2) a)) (/.f64 1 (cbrt.f64 a)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) (cbrt.f64 a)) (pow.f64 (cbrt.f64 a) 2))
(/.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(*.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 a) 2)) (/.f64 1 (pow.f64 (cbrt.f64 a) 4)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 4)) (PI.f64)) (pow.f64 (cbrt.f64 a) 2))
(/.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 a) 2)) (pow.f64 (cbrt.f64 a) 4))
(.f64 -1 (/.f64 (PI.f64) (.f64 a (neg.f64 a))))
(/.f64 (neg.f64 (PI.f64)) (*.f64 a (neg.f64 a)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 a a)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) a) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) a))
(/.f64 (PI.f64) (*.f64 a a))
(.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4))) (neg.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2)))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)) (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)) (cbrt.f64 (/.f64 (PI.f64) (.f64 a a))))
(*.f64 (neg.f64 (pow.f64 a -2)) (neg.f64 (PI.f64)))
(/.f64 (PI.f64) (*.f64 a a))
(*.f64 (/.f64 (PI.f64) (neg.f64 a)) (/.f64 1 (neg.f64 a)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 a (neg.f64 a)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 a a)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 a -2)) (sqrt.f64 (PI.f64)))
(/.f64 (PI.f64) (*.f64 a a))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (pow.f64 a -2)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(/.f64 (PI.f64) (*.f64 a a))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) a) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) a))
(/.f64 (PI.f64) (*.f64 a a))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 a) 4)) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 a) 2)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 4)) (PI.f64)) (pow.f64 (cbrt.f64 a) 2))
(/.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 a) 2)) (pow.f64 (cbrt.f64 a) 4))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 a) 4)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 4)) (PI.f64)) (pow.f64 (cbrt.f64 a) 2))
(/.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 a) 2)) (pow.f64 (cbrt.f64 a) 4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) a) (/.f64 (cbrt.f64 (PI.f64)) a))
(/.f64 (PI.f64) (*.f64 a a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 a) 4)) (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 a) 4)))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (.f64 a a))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 a) 4)))
(.f64 (/.f64 (cbrt.f64 (/.f64 (PI.f64) (.f64 a a))) (pow.f64 (cbrt.f64 a) 4)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(.f64 (/.f64 1 (/.f64 (.f64 a a) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(/.f64 (PI.f64) (*.f64 a a))
(.f64 (/.f64 1 (/.f64 (.f64 a a) (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (PI.f64) (*.f64 a a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 a a)) (cbrt.f64 (PI.f64)))
(/.f64 (PI.f64) (*.f64 a a))
(.f64 (neg.f64 (sqrt.f64 (/.f64 (PI.f64) (.f64 a (neg.f64 a))))) (sqrt.f64 (/.f64 (PI.f64) (*.f64 a (neg.f64 a)))))
(/.f64 (neg.f64 (PI.f64)) (*.f64 a (neg.f64 a)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 a a)))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (PI.f64) (.f64 a (neg.f64 a)))) (cbrt.f64 (/.f64 (PI.f64) (.f64 a (neg.f64 a)))))) (cbrt.f64 (/.f64 (PI.f64) (*.f64 a (neg.f64 a)))))
(/.f64 (neg.f64 (PI.f64)) (*.f64 a (neg.f64 a)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 a a)))
(*.f64 (neg.f64 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) a)) (/.f64 (sqrt.f64 (PI.f64)) a))
(/.f64 (PI.f64) (*.f64 a a))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)))) (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)) (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)) (cbrt.f64 (/.f64 (PI.f64) (.f64 a a))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2)))) (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2)))) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 a -2)))))
(/.f64 (PI.f64) (*.f64 a a))
(.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) a)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) a)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4))) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) a)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) a)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4))))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) a)) (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) a))))
(.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))) (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))))) (.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 a -2))))))
(/.f64 (PI.f64) (*.f64 a a))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) a))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) a))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4))) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) a)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) a)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4))))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4)) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) a)) (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) a))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 a -2))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 a -2))) 3/2))
(/.f64 (PI.f64) (*.f64 a a))
(.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 a -2)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 a -2)) 3) 1/6))
(/.f64 (PI.f64) (*.f64 a a))
(.f64 (pow.f64 (/.f64 (.f64 a a) (PI.f64)) -1/2) (pow.f64 (/.f64 (*.f64 a a) (PI.f64)) -1/2))
(/.f64 (PI.f64) (*.f64 a a))
(pow.f64 (*.f64 (PI.f64) (pow.f64 a -2)) 1)
(/.f64 (PI.f64) (*.f64 a a))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 2)
(/.f64 (PI.f64) (*.f64 a a))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 a -2))) 3)
(/.f64 (PI.f64) (*.f64 a a))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 a -2)) 3) 1/3)
(/.f64 (PI.f64) (*.f64 a a))
(pow.f64 (/.f64 (*.f64 a a) (PI.f64)) -1)
(/.f64 (PI.f64) (*.f64 a a))
(neg.f64 (/.f64 (PI.f64) (*.f64 a (neg.f64 a))))
(/.f64 (neg.f64 (PI.f64)) (*.f64 a (neg.f64 a)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 a a)))
(neg.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a (neg.f64 a))) 1))
(/.f64 (neg.f64 (PI.f64)) (*.f64 a (neg.f64 a)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 a a)))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) 4))
(fabs.f64 (/.f64 (PI.f64) (*.f64 a a)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (pow.f64 a -2)))
(/.f64 (PI.f64) (*.f64 a a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (pow.f64 a -2)))))
(/.f64 (PI.f64) (*.f64 a a))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 a -2)) 3))
(/.f64 (PI.f64) (*.f64 a a))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 a 6)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 a -2))))
(/.f64 (PI.f64) (*.f64 a a))
(exp.f64 (log.f64 (*.f64 (PI.f64) (pow.f64 a -2))))
(/.f64 (PI.f64) (*.f64 a a))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (pow.f64 a -2))))
(/.f64 (PI.f64) (*.f64 a a))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.22%	(.f64 b (.f64 a b))
✓	0.24%	(/.f64 (.f64 b (.f64 a b)) (PI.f64))
✓	0.7%	(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))

Compiler

Compiled 30 to 9 computations (70% saved)

series9.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	(/.f64 (.f64 b (.f64 a b)) (PI.f64))
1.0ms	a	@	0	(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))
1.0ms	b	@	0	(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))
0.0ms	b	@	inf	(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))
0.0ms	a	@	inf	(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))

rewrite117.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1780×	`associate-/l*`
1672×	`associate-*l/`
616×	`associate-/r/`
388×	`distribute-lft-neg-in`
352×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	234	61
2	3112	61

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

Inputs
(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))
(/.f64 (.f64 b (.f64 a b)) (PI.f64))
(.f64 b (.f64 a b))

Outputs

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sqrt.f64 (pow.f64 (*.f64 (/.f64 b (PI.f64)) (*.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 b (PI.f64)) (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 b (PI.f64)) (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 b (PI.f64)) (*.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 b (*.f64 b a)) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 b (PI.f64)) (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 b (PI.f64)) (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 b (PI.f64)) (*.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 b (PI.f64)) (*.f64 b a))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 b (*.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (*.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 b (*.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (*.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (*.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 a (neg.f64 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 b (*.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 b a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (*.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 b 3) (pow.f64 (*.f64 b a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 b a) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (*.f64 b a))))))))

simplify98.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1450×	`distribute-rgt-in`
1448×	`distribute-lft-in`
668×	`associate-r`
576×	`associate-l`
518×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	346	5368
1	946	5302
2	4538	5302

Stop Event

1×	node limit

Counts

214 → 194

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 b a))))) 1)
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 b a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 b a)))
(.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 b a))) 1)
(.f64 1 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 b a))))
(.f64 (sqrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 b a)))) (sqrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 b a)))))
(.f64 (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 b a)))) (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 b a)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 b a)))) 2) (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 b a)))))
(.f64 (/.f64 (/.f64 1/2 b) (.f64 b a)) (PI.f64))
(.f64 (/.f64 (PI.f64) (.f64 b (*.f64 b a))) 1/2)
(.f64 -1/2 (neg.f64 (/.f64 (PI.f64) (.f64 b (*.f64 b a)))))
(.f64 (.f64 (/.f64 (/.f64 1/2 b) (*.f64 b a)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (/.f64 (/.f64 1/2 b) (*.f64 b a)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 b a)))
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(.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (.f64 b (.f64 b a))) 2)) (/.f64 (PI.f64) (cbrt.f64 (.f64 b (*.f64 b a)))))
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(.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 b (.f64 b a)))) (.f64 1/2 (sqrt.f64 (/.f64 (PI.f64) (.f64 b (.f64 b a))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))) 2)) (/.f64 1/2 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (*.f64 b a)))))
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(.f64 (/.f64 1 (.f64 a (neg.f64 (.f64 b b)))) (.f64 1/2 (neg.f64 (PI.f64))))
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(.f64 (/.f64 1/2 (/.f64 (.f64 b a) (/.f64 (sqrt.f64 (PI.f64)) b))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 1/2 (sqrt.f64 b)) (/.f64 (PI.f64) (.f64 (sqrt.f64 b) (*.f64 b a))))
(.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (PI.f64) (.f64 (cbrt.f64 b) (*.f64 b a))))
(.f64 (/.f64 1/2 (/.f64 b (/.f64 1 (.f64 b a)))) (PI.f64))
(.f64 (/.f64 1/2 (/.f64 (.f64 b (*.f64 b a)) (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 1/2 (neg.f64 b)) (neg.f64 (/.f64 (PI.f64) (.f64 b a))))
(.f64 (/.f64 (/.f64 (/.f64 1/2 b) (.f64 b a)) 1) (PI.f64))
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(.f64 (/.f64 (/.f64 (/.f64 1/2 b) (.f64 b a)) (/.f64 1 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
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(.f64 (/.f64 -1/2 (.f64 b (*.f64 b a))) (neg.f64 (PI.f64)))
(.f64 (/.f64 (.f64 1/2 (sqrt.f64 (/.f64 (PI.f64) (.f64 b (.f64 b a))))) 1) (sqrt.f64 (/.f64 (PI.f64) (.f64 b (.f64 b a)))))
(.f64 (/.f64 (.f64 1/2 (sqrt.f64 (/.f64 (PI.f64) (.f64 b (.f64 b a))))) (sqrt.f64 b)) (sqrt.f64 (/.f64 (PI.f64) (*.f64 b a))))
(.f64 (/.f64 (.f64 1/2 (sqrt.f64 (/.f64 (PI.f64) (.f64 b (.f64 b a))))) (sqrt.f64 (.f64 a (neg.f64 (.f64 b b))))) (sqrt.f64 (neg.f64 (PI.f64))))
(.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))) 2)) 1) (cbrt.f64 (/.f64 (PI.f64) (.f64 b (*.f64 b a)))))
(.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))) 2)) (cbrt.f64 (.f64 b (*.f64 b a)))) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))) 2)) (cbrt.f64 b)) (cbrt.f64 (/.f64 (PI.f64) (.f64 b a))))
(.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))) 2)) (cbrt.f64 (.f64 a (neg.f64 (*.f64 b b))))) (cbrt.f64 (neg.f64 (PI.f64))))
(pow.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 b a))) 1)
(pow.f64 (sqrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 b a)))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 b a)))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 b a))) 3) 1/3)
(pow.f64 (.f64 (.f64 (/.f64 b (PI.f64)) (*.f64 b a)) 2) -1)
(sqrt.f64 (/.f64 1/4 (pow.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a)) 2)))
(log.f64 (exp.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 b a)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 b a))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 b a))) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 b a)))))
(exp.f64 (log.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 b a)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 b a)))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 b a)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a)))) 1)
(.f64 b (.f64 (*.f64 b a) (/.f64 1 (PI.f64))))
(.f64 b (.f64 (/.f64 b (PI.f64)) a))
(.f64 (.f64 b a) (*.f64 b (/.f64 1 (PI.f64))))
(.f64 (.f64 b (*.f64 b a)) (/.f64 1 (PI.f64)))
(.f64 (.f64 b (*.f64 b a)) (neg.f64 (neg.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 (/.f64 b (PI.f64)) (*.f64 b a)) 1)
(.f64 1 (.f64 (/.f64 b (PI.f64)) (*.f64 b a)))
(.f64 (sqrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))) (sqrt.f64 (.f64 (/.f64 b (PI.f64)) (*.f64 b a))))
(.f64 (sqrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))) (neg.f64 (neg.f64 (sqrt.f64 (.f64 (/.f64 b (PI.f64)) (*.f64 b a))))))
(.f64 (sqrt.f64 (.f64 b (.f64 b a))) (.f64 (sqrt.f64 (.f64 b (.f64 b a))) (/.f64 1 (PI.f64))))
(.f64 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))) (pow.f64 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (*.f64 b a))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))) 2) (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (*.f64 b a))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))) 2) (neg.f64 (neg.f64 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (*.f64 b a))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 b (.f64 b a))) 2) (.f64 (cbrt.f64 (.f64 b (.f64 b a))) (/.f64 1 (PI.f64))))
(.f64 (/.f64 1 (PI.f64)) (.f64 b (*.f64 b a)))
(.f64 (.f64 a (neg.f64 (*.f64 b b))) (neg.f64 (/.f64 1 (PI.f64))))
(.f64 (.f64 a (neg.f64 (*.f64 b b))) (/.f64 1 (neg.f64 (PI.f64))))
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(.f64 (.f64 (/.f64 b (PI.f64)) a) b)
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(.f64 -1 (.f64 (/.f64 b (PI.f64)) (*.f64 b (neg.f64 a))))
(.f64 (neg.f64 (sqrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a)))) (neg.f64 (sqrt.f64 (.f64 (/.f64 b (PI.f64)) (*.f64 b a)))))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))) 2)) (neg.f64 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (*.f64 b a)))))
(.f64 (/.f64 1 (neg.f64 (PI.f64))) (.f64 a (neg.f64 (*.f64 b b))))
(.f64 (/.f64 b 1) (.f64 (/.f64 b (PI.f64)) a))
(*.f64 (/.f64 b (sqrt.f64 (PI.f64))) (/.f64 a (/.f64 (sqrt.f64 (PI.f64)) b)))
(*.f64 (/.f64 b (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 b (/.f64 (cbrt.f64 (PI.f64)) a)))
(*.f64 (/.f64 b (/.f64 1 a)) (/.f64 b (PI.f64)))
(*.f64 (/.f64 b (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) a)) (/.f64 b (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (.f64 b (.f64 b a))) 1) (/.f64 (sqrt.f64 (.f64 b (*.f64 b a))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (.f64 b (.f64 b a))) (PI.f64)) (sqrt.f64 (.f64 b (*.f64 b a))))
(.f64 (/.f64 (sqrt.f64 (.f64 b (.f64 b a))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (.f64 b (*.f64 b a))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 b (.f64 b a))) 2) 1) (/.f64 (cbrt.f64 (.f64 b (*.f64 b a))) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 b (.f64 b a))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (.f64 b (*.f64 b a))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 b (.f64 b a))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (*.f64 b a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 b (.f64 b a))) 2) (PI.f64)) (cbrt.f64 (.f64 b (*.f64 b a))))
(.f64 (/.f64 (sqrt.f64 b) (/.f64 (PI.f64) (.f64 b a))) (sqrt.f64 b))
(*.f64 (/.f64 b (/.f64 (PI.f64) b)) a)
(.f64 (/.f64 b (/.f64 (PI.f64) (sqrt.f64 (.f64 b a)))) (sqrt.f64 (*.f64 b a)))
(.f64 (/.f64 b (neg.f64 (PI.f64))) (.f64 b (neg.f64 a)))
(.f64 (/.f64 b (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (.f64 b a)) 2))) (cbrt.f64 (*.f64 b a)))
(.f64 (/.f64 1 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (.f64 b (.f64 b a))) 2))) (cbrt.f64 (.f64 b (*.f64 b a))))
(.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))) 2))) (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (*.f64 b a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (PI.f64) (.f64 b a))) (cbrt.f64 b))
(.f64 (neg.f64 (sqrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b (neg.f64 a))))) (sqrt.f64 (.f64 (/.f64 b (PI.f64)) (*.f64 b (neg.f64 a)))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b (neg.f64 a)))) (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b (neg.f64 a)))))) (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b (neg.f64 a)))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))))) (sqrt.f64 (.f64 (/.f64 b (PI.f64)) (*.f64 b a))))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))) 2))) (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (*.f64 b a))))
(pow.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a)) 1)
(pow.f64 (sqrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a)) 3) 1/3)
(pow.f64 (/.f64 (PI.f64) (.f64 b (.f64 b a))) -1)
(neg.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b (neg.f64 a))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a)) 2))
(log.f64 (exp.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a)))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a)) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 b (.f64 b a)) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))))
(exp.f64 (log.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 b (PI.f64)) (*.f64 b a))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))))
(-.f64 (exp.f64 (log1p.f64 (.f64 b (.f64 b a)))) 1)
(pow.f64 (.f64 b (.f64 b a)) 1)
(pow.f64 (sqrt.f64 (.f64 b (.f64 b a))) 2)
(pow.f64 (cbrt.f64 (.f64 b (.f64 b a))) 3)
(pow.f64 (pow.f64 (.f64 b (.f64 b a)) 3) 1/3)
(neg.f64 (.f64 a (neg.f64 (.f64 b b))))
(sqrt.f64 (pow.f64 (.f64 b (.f64 b a)) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 b a)) b))
(log.f64 (+.f64 1 (expm1.f64 (.f64 b (.f64 b a)))))
(cbrt.f64 (pow.f64 (.f64 b (.f64 b a)) 3))
(cbrt.f64 (.f64 (pow.f64 b 3) (pow.f64 (.f64 b a) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 b a) 3) (pow.f64 b 3)))
(expm1.f64 (log1p.f64 (.f64 b (.f64 b a))))
(exp.f64 (log.f64 (.f64 b (.f64 b a))))
(exp.f64 (.f64 (log.f64 (.f64 b (*.f64 b a))) 1))
(log1p.f64 (expm1.f64 (.f64 b (.f64 b a))))

Outputs
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 b a))))) 1)
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 b a))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 b a)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 b a))) 1)
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 b a))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (sqrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 b a)))) (sqrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 b a)))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 b a)))) (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 b a)))) 2))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 b a)))) 2) (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 b a)))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 (/.f64 1/2 b) (.f64 b a)) (PI.f64))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 (PI.f64) (.f64 b (*.f64 b a))) 1/2)
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 -1/2 (neg.f64 (/.f64 (PI.f64) (.f64 b (*.f64 b a)))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (.f64 (/.f64 (/.f64 1/2 b) (*.f64 b a)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (.f64 (/.f64 (/.f64 1/2 b) (*.f64 b a)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 b a)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 1/2 (.f64 b a)) (/.f64 (PI.f64) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 b (.f64 b a)))) (/.f64 (PI.f64) (sqrt.f64 (.f64 b (*.f64 b a)))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (.f64 b (.f64 b a))) 2)) (/.f64 (PI.f64) (cbrt.f64 (.f64 b (*.f64 b a)))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 1 (.f64 b (.f64 b a))) (.f64 1/2 (PI.f64)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 b (.f64 b a)))) (.f64 1/2 (sqrt.f64 (/.f64 (PI.f64) (.f64 b (.f64 b a))))))
(.f64 (.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 a (.f64 b b)))) 1/2) (sqrt.f64 (/.f64 (PI.f64) (.f64 a (.f64 b b)))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 a (.f64 b b)))) (.f64 1/2 (sqrt.f64 (/.f64 (PI.f64) (.f64 a (.f64 b b))))))
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 (PI.f64) (.f64 a (.f64 b b)))) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 a (.f64 b b))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))) 2)) (/.f64 1/2 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (*.f64 b a)))))
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(.f64 (/.f64 b (cbrt.f64 (PI.f64))) (.f64 a (/.f64 b (pow.f64 (cbrt.f64 (PI.f64)) 2))))
(.f64 (/.f64 b (pow.f64 (cbrt.f64 (PI.f64)) 2)) (.f64 a (/.f64 b (cbrt.f64 (PI.f64)))))
(.f64 (/.f64 (sqrt.f64 (.f64 b (.f64 b a))) 1) (/.f64 (sqrt.f64 (.f64 b (*.f64 b a))) (PI.f64)))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(.f64 (/.f64 (sqrt.f64 (.f64 b (.f64 b a))) (PI.f64)) (sqrt.f64 (.f64 b (*.f64 b a))))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(.f64 (/.f64 (sqrt.f64 (.f64 b (.f64 b a))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (.f64 b (*.f64 b a))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (.f64 (/.f64 (*.f64 a b) (cbrt.f64 (PI.f64))) b))
(.f64 (/.f64 b (cbrt.f64 (PI.f64))) (.f64 a (/.f64 b (pow.f64 (cbrt.f64 (PI.f64)) 2))))
(.f64 (/.f64 b (pow.f64 (cbrt.f64 (PI.f64)) 2)) (.f64 a (/.f64 b (cbrt.f64 (PI.f64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 b (.f64 b a))) 2) 1) (/.f64 (cbrt.f64 (.f64 b (*.f64 b a))) (PI.f64)))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 b (.f64 b a))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (.f64 b (*.f64 b a))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (/.f64 (*.f64 a b) (sqrt.f64 (PI.f64))) b) (/.f64 1 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 b (sqrt.f64 (PI.f64))) (.f64 a (/.f64 b (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (.f64 a (.f64 b b)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 b (.f64 b a))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (*.f64 b a))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 b b))) 2) (cbrt.f64 (.f64 (*.f64 a b) (/.f64 b (PI.f64))))) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(.f64 (cbrt.f64 (.f64 (/.f64 a (PI.f64)) (.f64 b b))) (/.f64 (pow.f64 (cbrt.f64 (.f64 a (*.f64 b b))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 b b))) 2) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (.f64 (.f64 a b) (/.f64 b (PI.f64))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 b (.f64 b a))) 2) (PI.f64)) (cbrt.f64 (.f64 b (*.f64 b a))))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(.f64 (/.f64 (sqrt.f64 b) (/.f64 (PI.f64) (.f64 b a))) (sqrt.f64 b))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(*.f64 (/.f64 b (/.f64 (PI.f64) b)) a)
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(.f64 (/.f64 b (/.f64 (PI.f64) (sqrt.f64 (.f64 b a)))) (sqrt.f64 (*.f64 b a)))
(.f64 (sqrt.f64 (.f64 a b)) (.f64 (/.f64 b (PI.f64)) (sqrt.f64 (.f64 a b))))
(.f64 (/.f64 b (PI.f64)) (.f64 (sqrt.f64 (.f64 a b)) (sqrt.f64 (.f64 a b))))
(.f64 (/.f64 b (neg.f64 (PI.f64))) (.f64 b (neg.f64 a)))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(.f64 (/.f64 b (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (.f64 b a)) 2))) (cbrt.f64 (*.f64 b a)))
(.f64 (cbrt.f64 (.f64 a b)) (.f64 (/.f64 b (PI.f64)) (pow.f64 (cbrt.f64 (.f64 a b)) 2)))
(.f64 (/.f64 b (PI.f64)) (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (cbrt.f64 (.f64 a b))))
(.f64 (/.f64 1 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (.f64 b (.f64 b a))) 2))) (cbrt.f64 (.f64 b (*.f64 b a))))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))) 2))) (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (*.f64 b a))))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (PI.f64) (.f64 b a))) (cbrt.f64 b))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(.f64 (neg.f64 (sqrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b (neg.f64 a))))) (sqrt.f64 (.f64 (/.f64 b (PI.f64)) (*.f64 b (neg.f64 a)))))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b (neg.f64 a)))) (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b (neg.f64 a)))))) (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b (neg.f64 a)))))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))))) (sqrt.f64 (.f64 (/.f64 b (PI.f64)) (*.f64 b a))))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))) 2))) (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (*.f64 b a))))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(pow.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a)) 1)
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(pow.f64 (sqrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))) 2)
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(pow.f64 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))) 3)
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(pow.f64 (pow.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a)) 3) 1/3)
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(pow.f64 (/.f64 (PI.f64) (.f64 b (.f64 b a))) -1)
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(neg.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b (neg.f64 a))))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(sqrt.f64 (pow.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a)) 2))
(sqrt.f64 (pow.f64 (.f64 (.f64 a b) (/.f64 b (PI.f64))) 2))
(fabs.f64 (.f64 (/.f64 a (PI.f64)) (.f64 b b)))
(fabs.f64 (.f64 (.f64 a b) (/.f64 b (PI.f64))))
(log.f64 (exp.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a)))))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(cbrt.f64 (pow.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a)) 3))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(cbrt.f64 (/.f64 (pow.f64 (.f64 b (.f64 b a)) 3) (pow.f64 (PI.f64) 3)))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(expm1.f64 (log1p.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(exp.f64 (log.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 b (PI.f64)) (*.f64 b a))) 1))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(log1p.f64 (expm1.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))))
(.f64 (.f64 a b) (/.f64 b (PI.f64)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(-.f64 (exp.f64 (log1p.f64 (.f64 b (.f64 b a)))) 1)
(.f64 a (.f64 b b))
(pow.f64 (.f64 b (.f64 b a)) 1)
(.f64 a (.f64 b b))
(pow.f64 (sqrt.f64 (.f64 b (.f64 b a))) 2)
(.f64 a (.f64 b b))
(pow.f64 (cbrt.f64 (.f64 b (.f64 b a))) 3)
(.f64 a (.f64 b b))
(pow.f64 (pow.f64 (.f64 b (.f64 b a)) 3) 1/3)
(.f64 a (.f64 b b))
(neg.f64 (.f64 a (neg.f64 (.f64 b b))))
(.f64 a (.f64 b b))
(sqrt.f64 (pow.f64 (.f64 b (.f64 b a)) 2))
(sqrt.f64 (pow.f64 (.f64 a (.f64 b b)) 2))
(fabs.f64 (.f64 a (.f64 b b)))
(log.f64 (pow.f64 (exp.f64 (*.f64 b a)) b))
(.f64 a (.f64 b b))
(log.f64 (+.f64 1 (expm1.f64 (.f64 b (.f64 b a)))))
(.f64 a (.f64 b b))
(cbrt.f64 (pow.f64 (.f64 b (.f64 b a)) 3))
(.f64 a (.f64 b b))
(cbrt.f64 (.f64 (pow.f64 b 3) (pow.f64 (.f64 b a) 3)))
(.f64 a (.f64 b b))
(cbrt.f64 (.f64 (pow.f64 (.f64 b a) 3) (pow.f64 b 3)))
(.f64 a (.f64 b b))
(expm1.f64 (log1p.f64 (.f64 b (.f64 b a))))
(.f64 a (.f64 b b))
(exp.f64 (log.f64 (.f64 b (.f64 b a))))
(.f64 a (.f64 b b))
(exp.f64 (.f64 (log.f64 (.f64 b (*.f64 b a))) 1))
(.f64 a (.f64 b b))
(log1p.f64 (expm1.f64 (.f64 b (.f64 b a))))
(.f64 a (.f64 b b))

localize50.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.26%	(/.f64 (.f64 (PI.f64) 1/2) (.f64 b (*.f64 a a)))
✓	12.88%	(.f64 b (.f64 a a))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(/.f64 (.f64 (PI.f64) 1/2) (.f64 b (*.f64 a a)))
0.0ms	a	@	inf	(.f64 b (.f64 a a))
0.0ms	b	@	inf	(.f64 b (.f64 a a))
0.0ms	b	@	-inf	(.f64 b (.f64 a a))
0.0ms	a	@	0	(/.f64 (.f64 (PI.f64) 1/2) (.f64 b (*.f64 a a)))

rewrite120.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1830×	`associate-*l/`
954×	`unswap-sqr`
900×	`swap-sqr`
366×	`distribute-lft-neg-in`
336×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	232	40
2	3196	40

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

Inputs
(.f64 b (.f64 a a))
(/.f64 (.f64 (PI.f64) 1/2) (.f64 b (*.f64 a a)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (sqrt.f64 b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 a (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 a 4) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 b 3) (pow.f64 (*.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a a) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 b a))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (*.f64 1/2 (/.f64 1 (*.f64 a (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (*.f64 1 (/.f64 1/2 (*.f64 a (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (PI.f64) (/.f64 1 (*.f64 a (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) 1/2) (/.f64 1 (*.f64 a (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) b))) a) (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (/.f64 1 (*.f64 a (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a))))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a))))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (/.f64 1 (*.f64 a (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (PI.f64) b)) (/.f64 1 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 a (*.f64 b a))) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 a a)) (/.f64 (PI.f64) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) -1/2) (/.f64 1 (neg.f64 (*.f64 a (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 a (sqrt.f64 b))) (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 a (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 b a))) 2)) (/.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (*.f64 a (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 b a)) (/.f64 (*.f64 (PI.f64) 1/2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) 1) (/.f64 1/2 (*.f64 a (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 a (*.f64 b a))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 a (sqrt.f64 b))) (/.f64 (PI.f64) (*.f64 a (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b a))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1 (/.f64 1/2 (*.f64 a (*.f64 b a)))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (*.f64 a (*.f64 b a)))) (*.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (*.f64 a (sqrt.f64 b))) (/.f64 1/2 (*.f64 a (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 b a))) 2)) (/.f64 1/2 (cbrt.f64 (*.f64 a (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 b a))) 2)) (/.f64 (PI.f64) (cbrt.f64 (*.f64 a (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 b a)) (/.f64 (PI.f64) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) b) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 a a)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 1) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 a (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 a (*.f64 b a))) (sqrt.f64 (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 b a))) 2)) (/.f64 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(*.f64 a (*.f64 b a)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 a (*.f64 b a))) (cbrt.f64 (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a)))))) (cbrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a)))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a)))))) (cbrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) b))) a)) (cbrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a)))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) b))) a)) (cbrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a)))))) (sqrt.f64 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(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a))))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) b))) a))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a))))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) b))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (*.f64 b a)))) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (*.f64 b a)))) (sqrt.f64 (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 b)) (sqrt.f64 (/.f64 1/2 (*.f64 a a)))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 b)) (sqrt.f64 (/.f64 1/2 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 1/2 (*.f64 a a))) (sqrt.f64 (/.f64 (PI.f64) b))) (*.f64 (sqrt.f64 (/.f64 1/2 (*.f64 a a))) (sqrt.f64 (/.f64 (PI.f64) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 1/2 (*.f64 a a))) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 b))) (*.f64 (sqrt.f64 (/.f64 1/2 (*.f64 a a))) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) b))) a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 (*.f64 a (*.f64 b a)) (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 a (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 a (*.f64 b a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (PI.f64) 1/2) (/.f64 1 (neg.f64 (*.f64 a (*.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 a (*.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a (*.f64 b a)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 1/2 (/.f64 (PI.f64) b)) (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (PI.f64) -1/2) (*.f64 a (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) b)) (/.f64 1/2 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 a (*.f64 b a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b a))))))))))

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1844×	`unswap-sqr`
1198×	`associate-/r/`
572×	`distribute-rgt-in`
568×	`distribute-lft-in`
492×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	262	4004
1	751	3922
2	3352	3922

Stop Event

1×	node limit

Counts

150 → 124

Calls

Call 1

Inputs
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(-.f64 (exp.f64 (log1p.f64 (.f64 a (.f64 b a)))) 1)
(pow.f64 (.f64 a (.f64 b a)) 1)
(pow.f64 (*.f64 a (sqrt.f64 b)) 2)
(pow.f64 (cbrt.f64 (.f64 a (.f64 b a))) 3)
(pow.f64 (pow.f64 (.f64 a (.f64 b a)) 3) 1/3)
(neg.f64 (neg.f64 (.f64 a (.f64 b a))))
(sqrt.f64 (.f64 (pow.f64 a 4) (.f64 b b)))
(log.f64 (pow.f64 (exp.f64 b) (*.f64 a a)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 b a)))))
(cbrt.f64 (pow.f64 (.f64 a (.f64 b a)) 3))
(cbrt.f64 (.f64 (pow.f64 b 3) (pow.f64 (.f64 a a) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 a a) 3) (pow.f64 b 3)))
(expm1.f64 (log1p.f64 (.f64 a (.f64 b a))))
(exp.f64 (log.f64 (.f64 a (.f64 b a))))
(exp.f64 (.f64 (log.f64 (.f64 a (*.f64 b a))) 1))
(log1p.f64 (expm1.f64 (.f64 a (.f64 b a))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a)))))) 1)
(.f64 (PI.f64) (.f64 1/2 (/.f64 1 (.f64 a (.f64 b a)))))
(.f64 (PI.f64) (.f64 1 (/.f64 1/2 (.f64 a (.f64 b a)))))
(.f64 1/2 (.f64 (PI.f64) (/.f64 1 (.f64 a (.f64 b a)))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a))))
(.f64 (.f64 (PI.f64) 1/2) (/.f64 1 (.f64 a (.f64 b a))))
(.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a)))) 1)
(.f64 1 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a)))))
(.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a) (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) b))) a))
(.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (/.f64 1 (.f64 a (.f64 b a)))))
(.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a))))) (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a))))) 2) (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (/.f64 1 (.f64 a (.f64 b a)))))
(.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (/.f64 1 (*.f64 a a)))
(.f64 (/.f64 1 (.f64 a (.f64 b a))) (.f64 (PI.f64) 1/2))
(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 a a)))
(.f64 (/.f64 1/2 (.f64 a a)) (/.f64 (PI.f64) b))
(.f64 (.f64 (PI.f64) -1/2) (/.f64 1 (neg.f64 (.f64 a (.f64 b a)))))
(.f64 (/.f64 1 b) (/.f64 (.f64 (PI.f64) 1/2) (*.f64 a a)))
(.f64 (/.f64 1 (.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) b)))
(.f64 (/.f64 1 (.f64 a (sqrt.f64 b))) (/.f64 (.f64 (PI.f64) 1/2) (.f64 a (sqrt.f64 b))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 a (.f64 b a))) 2)) (/.f64 (.f64 (PI.f64) 1/2) (cbrt.f64 (.f64 a (.f64 b a)))))
(.f64 (/.f64 1 (.f64 b a)) (/.f64 (*.f64 (PI.f64) 1/2) a))
(.f64 (/.f64 (PI.f64) 1) (/.f64 1/2 (.f64 a (*.f64 b a))))
(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a a)))
(.f64 (/.f64 1/2 (.f64 a (*.f64 b a))) (PI.f64))
(.f64 (/.f64 1/2 (.f64 a (sqrt.f64 b))) (/.f64 (PI.f64) (*.f64 a (sqrt.f64 b))))
(.f64 (/.f64 (PI.f64) (.f64 a (*.f64 b a))) 1/2)
(.f64 (.f64 1 (/.f64 1/2 (.f64 a (.f64 b a)))) (PI.f64))
(.f64 (/.f64 1 (neg.f64 (.f64 a (.f64 b a)))) (.f64 (PI.f64) -1/2))
(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
(.f64 (/.f64 (PI.f64) (.f64 a (sqrt.f64 b))) (/.f64 1/2 (*.f64 a (sqrt.f64 b))))
(.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (.f64 a (.f64 b a))) 2)) (/.f64 1/2 (cbrt.f64 (.f64 a (*.f64 b a)))))
(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 a))
(.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (.f64 a (.f64 b a))) 2)) (/.f64 (PI.f64) (cbrt.f64 (.f64 a (*.f64 b a)))))
(.f64 (/.f64 1/2 (.f64 b a)) (/.f64 (PI.f64) a))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) b) (/.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 a a)))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 a a)) (/.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) b))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) 1) (/.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 a (*.f64 b a))))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 a (.f64 b a))) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (.f64 a (.f64 b a))) 2)) (/.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 a (*.f64 b a)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 b a)) (/.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) b) (/.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (.f64 a a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (.f64 a a)) (/.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) b))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) 1) (/.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (.f64 a (*.f64 b a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (.f64 a (sqrt.f64 b))) (/.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (*.f64 a (sqrt.f64 b))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (pow.f64 (cbrt.f64 (.f64 a (.f64 b a))) 2)) (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (.f64 b a)) (/.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) a))
(.f64 (/.f64 (PI.f64) (neg.f64 (.f64 a (*.f64 b a)))) -1/2)
(.f64 (/.f64 1 (/.f64 (.f64 a (*.f64 b a)) (PI.f64))) 1/2)
(.f64 (/.f64 1 (/.f64 (.f64 a (.f64 b a)) (sqrt.f64 (.f64 (PI.f64) 1/2)))) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(.f64 (/.f64 1 (/.f64 (.f64 a (.f64 b a)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 a (.f64 b a)) 2)) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (.f64 a (.f64 b a)) 2)) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (.f64 a (.f64 b a))) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a)))))) (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a)))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a)))))) (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a)))))))
(.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a)) (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a)))))) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a)) (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a))))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a))))) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a)) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a))))) 2))) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a)) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a))))) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a))))) (sqrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a))))))) (.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a))))) (sqrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a))))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a))))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a))))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) b))) a))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (.f64 b a)))) (sqrt.f64 (.f64 (PI.f64) 1/2))) (.f64 (sqrt.f64 (/.f64 1 (.f64 a (.f64 b a)))) (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(.f64 (.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 b)) (sqrt.f64 (/.f64 1/2 (.f64 a a)))) (.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 b)) (sqrt.f64 (/.f64 1/2 (*.f64 a a)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1/2 (.f64 a a))) (sqrt.f64 (/.f64 (PI.f64) b))) (.f64 (sqrt.f64 (/.f64 1/2 (*.f64 a a))) (sqrt.f64 (/.f64 (PI.f64) b))))
(.f64 (.f64 (sqrt.f64 (/.f64 1/2 (.f64 a a))) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 b))) (.f64 (sqrt.f64 (/.f64 1/2 (*.f64 a a))) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 b))))
(pow.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a)))) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) b))) a) 2)
(pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a))))) 3)
(pow.f64 (pow.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a)))) 3) 1/3)
(pow.f64 (.f64 2 (/.f64 (.f64 a (*.f64 b a)) (PI.f64))) -1)
(neg.f64 (/.f64 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 a (*.f64 b a)))))
(neg.f64 (.f64 (/.f64 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 a (.f64 b a)))) 1))
(neg.f64 (.f64 (.f64 (PI.f64) 1/2) (/.f64 1 (neg.f64 (.f64 a (.f64 b a))))))
(neg.f64 (.f64 1 (/.f64 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 a (.f64 b a))))))
(neg.f64 (/.f64 (PI.f64) (.f64 (.f64 a (*.f64 b a)) -2)))
(neg.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 a (neg.f64 a))))
(neg.f64 (/.f64 (.f64 (PI.f64) -1/2) (.f64 a (*.f64 b a))))
(sqrt.f64 (pow.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a)))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) b)) (/.f64 1/2 (*.f64 a a))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a)))))))
(cbrt.f64 (pow.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (.f64 a (*.f64 b a)) 3)))
(expm1.f64 (log1p.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a))))))
(exp.f64 (log.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a))))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a))))) 1))
(log1p.f64 (expm1.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a))))))

Outputs
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(-.f64 (exp.f64 (log1p.f64 (.f64 a (.f64 b a)))) 1)
(.f64 b (.f64 a a))
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(.f64 (/.f64 1 (/.f64 (.f64 a (.f64 b a)) (sqrt.f64 (.f64 (PI.f64) 1/2)))) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 (/.f64 1 (/.f64 (.f64 a (.f64 b a)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 a (.f64 b a)) 2)) (sqrt.f64 (PI.f64)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (.f64 a (.f64 b a)) 2)) (cbrt.f64 (PI.f64)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (.f64 a (.f64 b a))) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a)))))) (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a)))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a)))))) (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a)))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a)) (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a)))))) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a)) (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a)))))))
(.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a)) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a))) (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 a b))))) 2))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a)) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)) 2)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a)) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a)) (pow.f64 (cbrt.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))) 2)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a))))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a))))) 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a)) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a))))) 2))) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a)) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a))))) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a)) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a))) (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 a b))))) 2))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a)) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)) 2)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a)) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a)) (pow.f64 (cbrt.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))) 2)))
(.f64 (.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a))))) (sqrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a))))))) (.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a))))) (sqrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a))))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a))))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a))))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) b))) a))))
(.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a)) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a))) (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 a b))))) 2))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a)) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)) 2)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a)) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a)) (pow.f64 (cbrt.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))) 2)))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (.f64 b a)))) (sqrt.f64 (.f64 (PI.f64) 1/2))) (.f64 (sqrt.f64 (/.f64 1 (.f64 a (.f64 b a)))) (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 (.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 b)) (sqrt.f64 (/.f64 1/2 (.f64 a a)))) (.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 b)) (sqrt.f64 (/.f64 1/2 (*.f64 a a)))))
(.f64 (/.f64 1/2 (.f64 a a)) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 b)) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 b))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 b)) (.f64 (/.f64 1/2 (*.f64 a a)) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 b))))
(.f64 (.f64 (sqrt.f64 (/.f64 1/2 (.f64 a a))) (sqrt.f64 (/.f64 (PI.f64) b))) (.f64 (sqrt.f64 (/.f64 1/2 (*.f64 a a))) (sqrt.f64 (/.f64 (PI.f64) b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(.f64 (.f64 (sqrt.f64 (/.f64 1/2 (.f64 a a))) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 b))) (.f64 (sqrt.f64 (/.f64 1/2 (*.f64 a a))) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 b))))
(.f64 (.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 b)) (sqrt.f64 (/.f64 1/2 (.f64 a a)))) (.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 b)) (sqrt.f64 (/.f64 1/2 (*.f64 a a)))))
(.f64 (/.f64 1/2 (.f64 a a)) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 b)) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 b))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 b)) (.f64 (/.f64 1/2 (*.f64 a a)) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 b))))
(pow.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a)))) 1)
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) b))) a) 2)
(pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a))))) 3)
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(pow.f64 (pow.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a)))) 3) 1/3)
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(pow.f64 (.f64 2 (/.f64 (.f64 a (*.f64 b a)) (PI.f64))) -1)
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(neg.f64 (/.f64 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 a (*.f64 b a)))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(neg.f64 (.f64 (/.f64 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 a (.f64 b a)))) 1))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(neg.f64 (.f64 (.f64 (PI.f64) 1/2) (/.f64 1 (neg.f64 (.f64 a (.f64 b a))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(neg.f64 (.f64 1 (/.f64 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 a (.f64 b a))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(neg.f64 (/.f64 (PI.f64) (.f64 (.f64 a (*.f64 b a)) -2)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(neg.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 a (neg.f64 a))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(neg.f64 (/.f64 (.f64 (PI.f64) -1/2) (.f64 a (*.f64 b a))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(sqrt.f64 (pow.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a)))) 2))
(sqrt.f64 (pow.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 a b)))) 2))
(fabs.f64 (/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b))
(fabs.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) b)) (/.f64 1/2 (*.f64 a a))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a)))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(cbrt.f64 (pow.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a)))) 3))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (.f64 a (*.f64 b a)) 3)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(expm1.f64 (log1p.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(exp.f64 (log.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b a))))) 1))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))
(log1p.f64 (expm1.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b a))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (PI.f64) b)))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.31%	(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
✓	0.39%	(/.f64 (PI.f64) (+.f64 a b))
✓	0.69%	(/.f64 1/2 (*.f64 a b))

Compiler

Compiled 33 to 12 computations (63.6% saved)

series5.0ms (0%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(/.f64 1/2 (*.f64 a b))
0.0ms	a	@	inf	(/.f64 1/2 (*.f64 a b))
0.0ms	b	@	0	(/.f64 1/2 (*.f64 a b))
0.0ms	b	@	inf	(/.f64 1/2 (*.f64 a b))
0.0ms	b	@	-inf	(/.f64 1/2 (*.f64 a b))

rewrite109.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1692×	`associate-/l*`
746×	`associate-/r/`
668×	`distribute-rgt-in`
634×	`distribute-lft-in`
584×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	269	61
2	3857	61

Stop Event

1×	node limit

Counts

3 → 279

Calls

Call 1

Inputs
(/.f64 1/2 (*.f64 a b))
(/.f64 (PI.f64) (+.f64 a b))
(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) (+.f64 a b))) (/.f64 1/2 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 (PI.f64) (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 (PI.f64) (+.f64 a b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 (*.f64 a b)) 3) (pow.f64 (/.f64 (PI.f64) (+.f64 a b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) (+.f64 a b)) 3) (pow.f64 (/.f64 1/2 (*.f64 a b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 (PI.f64) (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 (PI.f64) (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 (PI.f64) (+.f64 a b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 (PI.f64) (+.f64 a b)))))))))

simplify194.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1586×	`associate-/r*`
1456×	`associate-r`
1256×	`associate-l`
1034×	`*-commutative`
826×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	754	14191
1	2248	14123

Stop Event

1×	node limit

Counts

327 → 472

Calls

Call 1

Inputs
(/.f64 (PI.f64) b)
(+.f64 (.f64 -1 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 2))) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 2))) (/.f64 (PI.f64) b)))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (.f64 -1 (/.f64 (*.f64 (pow.f64 a 3) (PI.f64)) (pow.f64 b 4))) (/.f64 (PI.f64) b))))
(/.f64 (PI.f64) a)
(+.f64 (/.f64 (PI.f64) a) (.f64 -1 (/.f64 (.f64 b (PI.f64)) (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3)) (+.f64 (/.f64 (PI.f64) a) (.f64 -1 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 b 3) (PI.f64)) (pow.f64 a 4))) (+.f64 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3)) (+.f64 (/.f64 (PI.f64) a) (.f64 -1 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))))
(/.f64 (PI.f64) a)
(+.f64 (/.f64 (PI.f64) a) (.f64 -1 (/.f64 (.f64 b (PI.f64)) (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3)) (+.f64 (/.f64 (PI.f64) a) (.f64 -1 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 b 3) (PI.f64)) (pow.f64 a 4))) (+.f64 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3)) (+.f64 (/.f64 (PI.f64) a) (.f64 -1 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))))
(/.f64 (PI.f64) a)
(+.f64 (/.f64 (PI.f64) a) (.f64 -1 (/.f64 (.f64 b (PI.f64)) (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3)) (+.f64 (/.f64 (PI.f64) a) (.f64 -1 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 b 3) (PI.f64)) (pow.f64 a 4))) (+.f64 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3)) (+.f64 (/.f64 (PI.f64) a) (.f64 -1 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))))
(/.f64 (PI.f64) b)
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(/.f64 (/.f64 (PI.f64) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (/.f64 (.f64 (.f64 a b) 2) (fma.f64 a a (*.f64 b (-.f64 b a)))))
(/.f64 -1 (/.f64 (.f64 (.f64 (*.f64 a b) 2) (neg.f64 (+.f64 a b))) (PI.f64)))
(/.f64 -1 (.f64 (/.f64 (+.f64 a b) (PI.f64)) (neg.f64 (.f64 (*.f64 a b) 2))))
(/.f64 -1 (.f64 (.f64 (*.f64 a b) 2) (neg.f64 (/.f64 (+.f64 a b) (PI.f64)))))
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 (.f64 (.f64 (*.f64 a b) 2) (neg.f64 (+.f64 a b))) (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (.f64 (.f64 (*.f64 a b) 2) (neg.f64 (+.f64 a b))) (cbrt.f64 (PI.f64))))
(/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (/.f64 1/2 (.f64 a b)))) (/.f64 (+.f64 a b) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (/.f64 1/2 (.f64 a b))))))
(/.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (.f64 (.f64 a b) 2) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 a b))))
(/.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (+.f64 a b)) 2)) (/.f64 (.f64 (.f64 a b) 2) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (+.f64 a b)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (.f64 (.f64 a b) 2) (/.f64 (cbrt.f64 (PI.f64)) (+.f64 a b))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (+.f64 a b))) (/.f64 (.f64 (.f64 a b) 2) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (+.f64 a b)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (+.f64 a b)) 2)) (/.f64 (.f64 (.f64 a b) 2) (cbrt.f64 (/.f64 (PI.f64) (+.f64 a b)))))
(/.f64 (.f64 (/.f64 1/2 a) 1) (.f64 b (/.f64 (+.f64 a b) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) 1) (.f64 (neg.f64 (+.f64 a b)) (.f64 (.f64 a b) 2)))
(/.f64 (.f64 1/2 (neg.f64 (PI.f64))) (.f64 (*.f64 a b) (neg.f64 (+.f64 a b))))
(/.f64 (.f64 (/.f64 1/2 a) (PI.f64)) (.f64 b (+.f64 a b)))
(/.f64 (.f64 (/.f64 1/2 a) (neg.f64 (PI.f64))) (.f64 b (neg.f64 (+.f64 a b))))
(/.f64 (.f64 -1/2 (PI.f64)) (.f64 (*.f64 a (neg.f64 b)) (+.f64 a b)))
(/.f64 (.f64 -1/2 (neg.f64 (PI.f64))) (.f64 (*.f64 a (neg.f64 b)) (neg.f64 (+.f64 a b))))
(/.f64 (.f64 (neg.f64 (PI.f64)) (/.f64 1/2 a)) (.f64 (neg.f64 (+.f64 a b)) b))
(/.f64 (.f64 (neg.f64 (PI.f64)) -1/2) (.f64 (neg.f64 (+.f64 a b)) (*.f64 a (neg.f64 b))))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (.f64 (.f64 (*.f64 a b) 2) (neg.f64 (neg.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (/.f64 (.f64 1/2 (PI.f64)) (+.f64 a b))) (.f64 a (neg.f64 b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b))) (neg.f64 (+.f64 a b)))
(/.f64 (neg.f64 (.f64 1/2 (PI.f64))) (neg.f64 (.f64 (*.f64 a b) (+.f64 a b))))
(/.f64 (neg.f64 (/.f64 1/2 a)) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) (neg.f64 b)))
(pow.f64 (.f64 (/.f64 1/2 (.f64 a b)) (/.f64 (PI.f64) (+.f64 a b))) 1)
(pow.f64 (sqrt.f64 (.f64 (/.f64 1/2 (.f64 a b)) (/.f64 (PI.f64) (+.f64 a b)))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 (.f64 a b)) (/.f64 (PI.f64) (+.f64 a b)))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 1/2 (.f64 a b)) (/.f64 (PI.f64) (+.f64 a b))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (/.f64 1/2 (.f64 a b)) (/.f64 (PI.f64) (+.f64 a b))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) (+.f64 a b))) (/.f64 1/2 (*.f64 a b))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 1/2 (.f64 a b)) (/.f64 (PI.f64) (+.f64 a b))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 1/2 (.f64 a b)) (/.f64 (PI.f64) (+.f64 a b))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1/2 (.f64 a b)) 3) (pow.f64 (/.f64 (PI.f64) (+.f64 a b)) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (+.f64 a b)) 3) (pow.f64 (/.f64 1/2 (.f64 a b)) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 1/2 (.f64 a b)) (/.f64 (PI.f64) (+.f64 a b)))))
(exp.f64 (log.f64 (.f64 (/.f64 1/2 (.f64 a b)) (/.f64 (PI.f64) (+.f64 a b)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 (PI.f64) (+.f64 a b)))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 1/2 (.f64 a b)) (/.f64 (PI.f64) (+.f64 a b)))))

Outputs
(/.f64 (PI.f64) b)
(+.f64 (.f64 -1 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 2))) (/.f64 (PI.f64) b))
(fma.f64 -1 (/.f64 a (/.f64 (*.f64 b b) (PI.f64))) (/.f64 (PI.f64) b))
(fma.f64 -1 (.f64 (/.f64 a (.f64 b b)) (PI.f64)) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 2))) (/.f64 (PI.f64) b)))
(+.f64 (fma.f64 -1 (/.f64 a (/.f64 (.f64 b b) (PI.f64))) (/.f64 (PI.f64) b)) (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (PI.f64))))
(+.f64 (fma.f64 -1 (.f64 (/.f64 a (.f64 b b)) (PI.f64)) (/.f64 (PI.f64) b)) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 3) (PI.f64))))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (.f64 -1 (/.f64 (*.f64 (pow.f64 a 3) (PI.f64)) (pow.f64 b 4))) (/.f64 (PI.f64) b))))
(+.f64 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (PI.f64))) (fma.f64 -1 (/.f64 a (/.f64 (.f64 b b) (PI.f64))) (fma.f64 -1 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (PI.f64) b))))
(+.f64 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (PI.f64))) (fma.f64 -1 (.f64 (/.f64 a (.f64 b b)) (PI.f64)) (fma.f64 -1 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (PI.f64)) (/.f64 (PI.f64) b))))
(/.f64 (PI.f64) a)
(+.f64 (/.f64 (PI.f64) a) (.f64 -1 (/.f64 (.f64 b (PI.f64)) (pow.f64 a 2))))
(+.f64 (/.f64 (PI.f64) a) (neg.f64 (/.f64 b (/.f64 (*.f64 a a) (PI.f64)))))
(+.f64 (/.f64 (PI.f64) a) (/.f64 (neg.f64 b) (/.f64 (*.f64 a a) (PI.f64))))
(+.f64 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3)) (+.f64 (/.f64 (PI.f64) a) (.f64 -1 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2)))))
(+.f64 (+.f64 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 3) (PI.f64))) (/.f64 (PI.f64) a)) (neg.f64 (/.f64 b (/.f64 (.f64 a a) (PI.f64)))))
(+.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (neg.f64 b) (/.f64 (.f64 a a) (PI.f64))) (/.f64 (.f64 b b) (/.f64 (pow.f64 a 3) (PI.f64)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 b 3) (PI.f64)) (pow.f64 a 4))) (+.f64 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3)) (+.f64 (/.f64 (PI.f64) a) (.f64 -1 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))))
(fma.f64 -1 (/.f64 (pow.f64 b 3) (/.f64 (pow.f64 a 4) (PI.f64))) (+.f64 (+.f64 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 3) (PI.f64))) (/.f64 (PI.f64) a)) (neg.f64 (/.f64 b (/.f64 (.f64 a a) (PI.f64))))))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 4)) (PI.f64)) (+.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (neg.f64 b) (/.f64 (.f64 a a) (PI.f64))) (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 3) (PI.f64))))))
(/.f64 (PI.f64) a)
(+.f64 (/.f64 (PI.f64) a) (.f64 -1 (/.f64 (.f64 b (PI.f64)) (pow.f64 a 2))))
(+.f64 (/.f64 (PI.f64) a) (neg.f64 (/.f64 b (/.f64 (*.f64 a a) (PI.f64)))))
(+.f64 (/.f64 (PI.f64) a) (/.f64 (neg.f64 b) (/.f64 (*.f64 a a) (PI.f64))))
(+.f64 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3)) (+.f64 (/.f64 (PI.f64) a) (.f64 -1 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2)))))
(+.f64 (+.f64 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 3) (PI.f64))) (/.f64 (PI.f64) a)) (neg.f64 (/.f64 b (/.f64 (.f64 a a) (PI.f64)))))
(+.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (neg.f64 b) (/.f64 (.f64 a a) (PI.f64))) (/.f64 (.f64 b b) (/.f64 (pow.f64 a 3) (PI.f64)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 b 3) (PI.f64)) (pow.f64 a 4))) (+.f64 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3)) (+.f64 (/.f64 (PI.f64) a) (.f64 -1 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))))
(fma.f64 -1 (/.f64 (pow.f64 b 3) (/.f64 (pow.f64 a 4) (PI.f64))) (+.f64 (+.f64 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 3) (PI.f64))) (/.f64 (PI.f64) a)) (neg.f64 (/.f64 b (/.f64 (.f64 a a) (PI.f64))))))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 4)) (PI.f64)) (+.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (neg.f64 b) (/.f64 (.f64 a a) (PI.f64))) (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 3) (PI.f64))))))
(/.f64 (PI.f64) a)
(+.f64 (/.f64 (PI.f64) a) (.f64 -1 (/.f64 (.f64 b (PI.f64)) (pow.f64 a 2))))
(+.f64 (/.f64 (PI.f64) a) (neg.f64 (/.f64 b (/.f64 (*.f64 a a) (PI.f64)))))
(+.f64 (/.f64 (PI.f64) a) (/.f64 (neg.f64 b) (/.f64 (*.f64 a a) (PI.f64))))
(+.f64 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3)) (+.f64 (/.f64 (PI.f64) a) (.f64 -1 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2)))))
(+.f64 (+.f64 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 3) (PI.f64))) (/.f64 (PI.f64) a)) (neg.f64 (/.f64 b (/.f64 (.f64 a a) (PI.f64)))))
(+.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (neg.f64 b) (/.f64 (.f64 a a) (PI.f64))) (/.f64 (.f64 b b) (/.f64 (pow.f64 a 3) (PI.f64)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 b 3) (PI.f64)) (pow.f64 a 4))) (+.f64 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3)) (+.f64 (/.f64 (PI.f64) a) (.f64 -1 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))))
(fma.f64 -1 (/.f64 (pow.f64 b 3) (/.f64 (pow.f64 a 4) (PI.f64))) (+.f64 (+.f64 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 3) (PI.f64))) (/.f64 (PI.f64) a)) (neg.f64 (/.f64 b (/.f64 (.f64 a a) (PI.f64))))))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 4)) (PI.f64)) (+.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (neg.f64 b) (/.f64 (.f64 a a) (PI.f64))) (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 3) (PI.f64))))))
(/.f64 (PI.f64) b)
(+.f64 (.f64 -1 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 2))) (/.f64 (PI.f64) b))
(fma.f64 -1 (/.f64 a (/.f64 (*.f64 b b) (PI.f64))) (/.f64 (PI.f64) b))
(fma.f64 -1 (.f64 (/.f64 a (.f64 b b)) (PI.f64)) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 2))) (/.f64 (PI.f64) b)))
(+.f64 (fma.f64 -1 (/.f64 a (/.f64 (.f64 b b) (PI.f64))) (/.f64 (PI.f64) b)) (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (PI.f64))))
(+.f64 (fma.f64 -1 (.f64 (/.f64 a (.f64 b b)) (PI.f64)) (/.f64 (PI.f64) b)) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 3) (PI.f64))))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (.f64 -1 (/.f64 (*.f64 (pow.f64 a 3) (PI.f64)) (pow.f64 b 4))) (/.f64 (PI.f64) b))))
(+.f64 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (PI.f64))) (fma.f64 -1 (/.f64 a (/.f64 (.f64 b b) (PI.f64))) (fma.f64 -1 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (PI.f64) b))))
(+.f64 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (PI.f64))) (fma.f64 -1 (.f64 (/.f64 a (.f64 b b)) (PI.f64)) (fma.f64 -1 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (PI.f64)) (/.f64 (PI.f64) b))))
(/.f64 (PI.f64) b)
(+.f64 (.f64 -1 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 2))) (/.f64 (PI.f64) b))
(fma.f64 -1 (/.f64 a (/.f64 (*.f64 b b) (PI.f64))) (/.f64 (PI.f64) b))
(fma.f64 -1 (.f64 (/.f64 a (.f64 b b)) (PI.f64)) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 2))) (/.f64 (PI.f64) b)))
(+.f64 (fma.f64 -1 (/.f64 a (/.f64 (.f64 b b) (PI.f64))) (/.f64 (PI.f64) b)) (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (PI.f64))))
(+.f64 (fma.f64 -1 (.f64 (/.f64 a (.f64 b b)) (PI.f64)) (/.f64 (PI.f64) b)) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 3) (PI.f64))))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (.f64 -1 (/.f64 (*.f64 (pow.f64 a 3) (PI.f64)) (pow.f64 b 4))) (/.f64 (PI.f64) b))))
(+.f64 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (PI.f64))) (fma.f64 -1 (/.f64 a (/.f64 (.f64 b b) (PI.f64))) (fma.f64 -1 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (PI.f64) b))))
(+.f64 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (PI.f64))) (fma.f64 -1 (.f64 (/.f64 a (.f64 b b)) (PI.f64)) (fma.f64 -1 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (PI.f64)) (/.f64 (PI.f64) b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 b a))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 b a)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (PI.f64) (.f64 a (*.f64 b b))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 b (.f64 b a))) (.f64 (/.f64 a (pow.f64 b 4)) (PI.f64)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(fma.f64 -1/2 (/.f64 (.f64 (PI.f64) (.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (PI.f64) (.f64 a (*.f64 b b)))))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (PI.f64)) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 b (.f64 b a))) (.f64 (/.f64 a (pow.f64 b 4)) (PI.f64))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))))
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(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) b) (+.f64 b a)))
(/.f64 (.f64 (/.f64 1/2 a) (PI.f64)) (.f64 b (+.f64 a b)))
(.f64 (/.f64 1/2 (.f64 a (*.f64 b (+.f64 b a)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) b) (+.f64 b a)))
(/.f64 (.f64 (/.f64 1/2 a) (neg.f64 (PI.f64))) (.f64 b (neg.f64 (+.f64 a b))))
(.f64 (/.f64 1/2 (.f64 a (*.f64 b (+.f64 b a)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) b) (+.f64 b a)))
(/.f64 (.f64 -1/2 (PI.f64)) (.f64 (*.f64 a (neg.f64 b)) (+.f64 a b)))
(.f64 (/.f64 1/2 (.f64 a (*.f64 b (+.f64 b a)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) b) (+.f64 b a)))
(/.f64 (.f64 -1/2 (neg.f64 (PI.f64))) (.f64 (*.f64 a (neg.f64 b)) (neg.f64 (+.f64 a b))))
(.f64 (/.f64 1/2 (.f64 a (*.f64 b (+.f64 b a)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) b) (+.f64 b a)))
(/.f64 (.f64 (neg.f64 (PI.f64)) (/.f64 1/2 a)) (.f64 (neg.f64 (+.f64 a b)) b))
(.f64 (/.f64 1/2 (.f64 a (*.f64 b (+.f64 b a)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) b) (+.f64 b a)))
(/.f64 (.f64 (neg.f64 (PI.f64)) -1/2) (.f64 (neg.f64 (+.f64 a b)) (*.f64 a (neg.f64 b))))
(.f64 (/.f64 1/2 (.f64 a (*.f64 b (+.f64 b a)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) b) (+.f64 b a)))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (.f64 (.f64 (*.f64 a b) 2) (neg.f64 (neg.f64 (+.f64 a b)))))
(.f64 (/.f64 1/2 (.f64 a (*.f64 b (+.f64 b a)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) b) (+.f64 b a)))
(/.f64 (neg.f64 (/.f64 (.f64 1/2 (PI.f64)) (+.f64 a b))) (.f64 a (neg.f64 b)))
(.f64 (/.f64 1/2 (.f64 a (*.f64 b (+.f64 b a)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) b) (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b))) (neg.f64 (+.f64 a b)))
(.f64 (/.f64 1/2 (.f64 a (*.f64 b (+.f64 b a)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) b) (+.f64 b a)))
(/.f64 (neg.f64 (.f64 1/2 (PI.f64))) (neg.f64 (.f64 (*.f64 a b) (+.f64 a b))))
(.f64 (/.f64 1/2 (.f64 a (*.f64 b (+.f64 b a)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) b) (+.f64 b a)))
(/.f64 (neg.f64 (/.f64 1/2 a)) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) (neg.f64 b)))
(.f64 (/.f64 1/2 (.f64 a (*.f64 b (+.f64 b a)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) b) (+.f64 b a)))
(pow.f64 (.f64 (/.f64 1/2 (.f64 a b)) (/.f64 (PI.f64) (+.f64 a b))) 1)
(.f64 (/.f64 1/2 (.f64 a (*.f64 b (+.f64 b a)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) b) (+.f64 b a)))
(pow.f64 (sqrt.f64 (.f64 (/.f64 1/2 (.f64 a b)) (/.f64 (PI.f64) (+.f64 a b)))) 2)
(pow.f64 (sqrt.f64 (.f64 (/.f64 1/2 (.f64 a (*.f64 b (+.f64 b a)))) (PI.f64))) 2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) b) (+.f64 b a)))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 (.f64 a b)) (/.f64 (PI.f64) (+.f64 a b)))) 3)
(.f64 (/.f64 1/2 (.f64 a (*.f64 b (+.f64 b a)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) b) (+.f64 b a)))
(pow.f64 (pow.f64 (.f64 (/.f64 1/2 (.f64 a b)) (/.f64 (PI.f64) (+.f64 a b))) 3) 1/3)
(.f64 (/.f64 1/2 (.f64 a (*.f64 b (+.f64 b a)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) b) (+.f64 b a)))
(sqrt.f64 (pow.f64 (.f64 (/.f64 1/2 (.f64 a b)) (/.f64 (PI.f64) (+.f64 a b))) 2))
(sqrt.f64 (pow.f64 (.f64 (/.f64 1/2 (.f64 a (*.f64 b (+.f64 b a)))) (PI.f64)) 2))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) b) (+.f64 b a))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) (+.f64 a b))) (/.f64 1/2 (*.f64 a b))))
(.f64 (/.f64 1/2 (.f64 a (*.f64 b (+.f64 b a)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) b) (+.f64 b a)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 1/2 (.f64 a b)) (/.f64 (PI.f64) (+.f64 a b))))))
(.f64 (/.f64 1/2 (.f64 a (*.f64 b (+.f64 b a)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) b) (+.f64 b a)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 1/2 (.f64 a b)) (/.f64 (PI.f64) (+.f64 a b))) 3))
(.f64 (/.f64 1/2 (.f64 a (*.f64 b (+.f64 b a)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) b) (+.f64 b a)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1/2 (.f64 a b)) 3) (pow.f64 (/.f64 (PI.f64) (+.f64 a b)) 3)))
(.f64 (/.f64 1/2 (.f64 a (*.f64 b (+.f64 b a)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) b) (+.f64 b a)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (+.f64 a b)) 3) (pow.f64 (/.f64 1/2 (.f64 a b)) 3)))
(.f64 (/.f64 1/2 (.f64 a (*.f64 b (+.f64 b a)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) b) (+.f64 b a)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 1/2 (.f64 a b)) (/.f64 (PI.f64) (+.f64 a b)))))
(.f64 (/.f64 1/2 (.f64 a (*.f64 b (+.f64 b a)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) b) (+.f64 b a)))
(exp.f64 (log.f64 (.f64 (/.f64 1/2 (.f64 a b)) (/.f64 (PI.f64) (+.f64 a b)))))
(.f64 (/.f64 1/2 (.f64 a (*.f64 b (+.f64 b a)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) b) (+.f64 b a)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 (PI.f64) (+.f64 a b)))) 1))
(.f64 (/.f64 1/2 (.f64 a (*.f64 b (+.f64 b a)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) b) (+.f64 b a)))
(log1p.f64 (expm1.f64 (.f64 (/.f64 1/2 (.f64 a b)) (/.f64 (PI.f64) (+.f64 a b)))))
(.f64 (/.f64 1/2 (.f64 a (*.f64 b (+.f64 b a)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) b) (+.f64 b a)))

eval640.0ms (5%)

Compiler: Compiled 23896 to 9894 computations (58.6% saved)

prune390.0ms (3%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	1279	12	1291
Fresh	9	0	9
Picked	1	0	1
Done	1	3	4
Total	1290	15	1305

Error

Counts

1305 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.31%	(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
	40.56%	(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
▶	5.91%	(/.f64 (/.f64 1/2 b) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a))
	6.62%	(/.f64 (/.f64 1/2 a) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) b))
✓	40.52%	(/.f64 (.f64 (PI.f64) 1/2) (.f64 b (*.f64 a a)))
	34.92%	(/.f64 (.f64 (PI.f64) 1/2) (.f64 a (*.f64 a b)))
▶	41.14%	(/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 b a))
	34.89%	(/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 b a))
	68.36%	(/.f64 1/2 (pow.f64 (sqrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))) 2))
✓	41.15%	(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))
▶	47.48%	(/.f64 1/2 (*.f64 (/.f64 b (/.f64 (PI.f64) b)) a))
	41.15%	(/.f64 1/2 (.f64 (.f64 (/.f64 b (PI.f64)) a) b))
▶	41.22%	(.f64 (/.f64 (/.f64 1/2 b) (.f64 b a)) (PI.f64))
	35%	(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 a))
▶	34.94%	(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))

Compiler

Compiled 313 to 227 computations (27.5% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.26%	(*.f64 (/.f64 (+.f64 a b) (PI.f64)) a)
✓	0.34%	(/.f64 (+.f64 a b) (PI.f64))
✓	5.81%	(/.f64 (/.f64 1/2 b) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a))

Compiler

Compiled 35 to 12 computations (65.7% saved)

series4.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(*.f64 (/.f64 (+.f64 a b) (PI.f64)) a)
0.0ms	a	@	0	(*.f64 (/.f64 (+.f64 a b) (PI.f64)) a)
0.0ms	b	@	-inf	(*.f64 (/.f64 (+.f64 a b) (PI.f64)) a)
0.0ms	a	@	-inf	(*.f64 (/.f64 (+.f64 a b) (PI.f64)) a)
0.0ms	b	@	inf	(*.f64 (/.f64 (+.f64 a b) (PI.f64)) a)

rewrite114.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1608×	`associate-/r/`
1508×	`associate-/l/`
544×	`distribute-rgt-in`
514×	`distribute-lft-in`
288×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	273	69
2	4069	69

Stop Event

1×	node limit

Counts

3 → 165

Calls

Call 1

Inputs
(/.f64 (/.f64 1/2 b) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a))
(/.f64 (+.f64 a b) (PI.f64))
(*.f64 (/.f64 (+.f64 a b) (PI.f64)) a)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 1 b) (/.f64 (PI.f64) (*.f64 a (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 (/.f64 1 b) a) (/.f64 (PI.f64) (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/2 b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a) (/.f64 (PI.f64) (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a))) (sqrt.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 b)) 2) (*.f64 (cbrt.f64 (/.f64 1/2 b)) (/.f64 (PI.f64) (*.f64 a (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a))) 2) (cbrt.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 b a))) (/.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 b) (/.f64 1 (neg.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (+.f64 b a) b)) (/.f64 (PI.f64) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 b) a) (/.f64 (PI.f64) (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))))) (/.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64)))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64)))) 2)) (/.f64 1/2 (*.f64 (cbrt.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64)))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 b) (*.f64 a (+.f64 b a))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 a (+.f64 b a))) (*.f64 (/.f64 1/2 b) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 1 b) a) (/.f64 (PI.f64) (+.f64 b a))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))))) (/.f64 -1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 1/2 b)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 (sqrt.f64 (/.f64 1/2 b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 b)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (/.f64 1/2 b)) a) (/.f64 (PI.f64) (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (*.f64 (/.f64 (/.f64 1 b) (+.f64 b a)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) (/.f64 (/.f64 1 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 (PI.f64) (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 b a) (/.f64 (PI.f64) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 b a) (*.f64 1 (/.f64 (PI.f64) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (PI.f64) (*.f64 a (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (PI.f64) a) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (PI.f64) a) (/.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (+.f64 b a)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 (/.f64 (PI.f64) a) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 (/.f64 (PI.f64) a) (fma.f64 a a (*.f64 b (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (-.f64 (neg.f64 b) a)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) a) (*.f64 (PI.f64) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) a) (*.f64 (PI.f64) (fma.f64 a a (*.f64 b (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (neg.f64 b) a) a) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a (+.f64 b a)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a (+.f64 b a)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a (+.f64 b a))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (*.f64 (/.f64 (PI.f64) a) (neg.f64 (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 (/.f64 (PI.f64) a) (neg.f64 (fma.f64 a a (*.f64 b (-.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (/.f64 (PI.f64) a) (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 (+.f64 b a) (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 b a) (PI.f64)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64)))))))))

simplify126.0ms (1%)

Algorithm

1×	egg-herbie

Rules

818×	`distribute-lft-neg-in`
710×	`*-commutative`
686×	`associate-*l/`
658×	`associate-r`
652×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	473	8605
1	1415	8069
2	6724	7969

Stop Event

1×	node limit

Counts

237 → 258

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(/.f64 b (PI.f64))
(+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64)))
(+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64)))
(+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64)))
(/.f64 a (PI.f64))
(+.f64 (/.f64 b (PI.f64)) (/.f64 a (PI.f64)))
(+.f64 (/.f64 b (PI.f64)) (/.f64 a (PI.f64)))
(+.f64 (/.f64 b (PI.f64)) (/.f64 a (PI.f64)))
(/.f64 a (PI.f64))
(+.f64 (/.f64 b (PI.f64)) (/.f64 a (PI.f64)))
(+.f64 (/.f64 b (PI.f64)) (/.f64 a (PI.f64)))
(+.f64 (/.f64 b (PI.f64)) (/.f64 a (PI.f64)))
(/.f64 a (PI.f64))
(+.f64 (/.f64 b (PI.f64)) (/.f64 a (PI.f64)))
(+.f64 (/.f64 b (PI.f64)) (/.f64 a (PI.f64)))
(+.f64 (/.f64 b (PI.f64)) (/.f64 a (PI.f64)))
(/.f64 b (PI.f64))
(+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64)))
(+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64)))
(+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64)))
(/.f64 b (PI.f64))
(+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64)))
(+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64)))
(+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(+.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64)))
(+.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64)))
(+.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64)))
(/.f64 (pow.f64 a 2) (PI.f64))
(+.f64 (/.f64 (*.f64 a b) (PI.f64)) (/.f64 (pow.f64 a 2) (PI.f64)))
(+.f64 (/.f64 (*.f64 a b) (PI.f64)) (/.f64 (pow.f64 a 2) (PI.f64)))
(+.f64 (/.f64 (*.f64 a b) (PI.f64)) (/.f64 (pow.f64 a 2) (PI.f64)))
(/.f64 (pow.f64 a 2) (PI.f64))
(+.f64 (/.f64 (*.f64 a b) (PI.f64)) (/.f64 (pow.f64 a 2) (PI.f64)))
(+.f64 (/.f64 (*.f64 a b) (PI.f64)) (/.f64 (pow.f64 a 2) (PI.f64)))
(+.f64 (/.f64 (*.f64 a b) (PI.f64)) (/.f64 (pow.f64 a 2) (PI.f64)))
(/.f64 (pow.f64 a 2) (PI.f64))
(+.f64 (/.f64 (*.f64 a b) (PI.f64)) (/.f64 (pow.f64 a 2) (PI.f64)))
(+.f64 (/.f64 (*.f64 a b) (PI.f64)) (/.f64 (pow.f64 a 2) (PI.f64)))
(+.f64 (/.f64 (*.f64 a b) (PI.f64)) (/.f64 (pow.f64 a 2) (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(+.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64)))
(+.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64)))
(+.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(+.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64)))
(+.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64)))
(+.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a)))) 1)
(.f64 1/2 (.f64 (/.f64 1 b) (/.f64 (PI.f64) (*.f64 a (+.f64 b a)))))
(.f64 1/2 (.f64 (/.f64 (/.f64 1 b) a) (/.f64 (PI.f64) (+.f64 b a))))
(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a (+.f64 b a))))
(.f64 (.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a)) 1)
(.f64 1 (.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a)))
(.f64 (sqrt.f64 (/.f64 1/2 b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a) (/.f64 (PI.f64) (+.f64 b a))))
(.f64 (sqrt.f64 (.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a))) (sqrt.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 b)) 2) (.f64 (cbrt.f64 (/.f64 1/2 b)) (/.f64 (PI.f64) (*.f64 a (+.f64 b a)))))
(.f64 (cbrt.f64 (.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a))) 2) (cbrt.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a))))
(.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 1 a))
(.f64 (/.f64 (PI.f64) (.f64 a (+.f64 b a))) (/.f64 1/2 b))
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a))
(.f64 (/.f64 -1/2 b) (/.f64 1 (neg.f64 (.f64 (+.f64 b a) (/.f64 a (PI.f64))))))
(.f64 (/.f64 1/2 (.f64 (+.f64 b a) b)) (/.f64 (PI.f64) a))
(.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 1 b))
(*.f64 (/.f64 (/.f64 1/2 b) a) (/.f64 (PI.f64) (+.f64 b a)))
(.f64 (/.f64 1 a) (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (+.f64 b a))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 b a) (/.f64 a (PI.f64))))) (/.f64 1/2 (.f64 (sqrt.f64 (.f64 (+.f64 b a) (/.f64 a (PI.f64)))) b)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (+.f64 b a) (/.f64 a (PI.f64)))) 2)) (/.f64 1/2 (.f64 (cbrt.f64 (.f64 (+.f64 b a) (/.f64 a (PI.f64)))) b)))
(.f64 (/.f64 (/.f64 1/2 b) (.f64 a (+.f64 b a))) (PI.f64))
(.f64 (/.f64 1 (.f64 a (+.f64 b a))) (*.f64 (/.f64 1/2 b) (PI.f64)))
(.f64 (.f64 (/.f64 (/.f64 1 b) a) (/.f64 (PI.f64) (+.f64 b a))) 1/2)
(.f64 (/.f64 1 (neg.f64 (.f64 (+.f64 b a) (/.f64 a (PI.f64))))) (/.f64 -1/2 b))
(.f64 (.f64 (sqrt.f64 (/.f64 1/2 b)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 (sqrt.f64 (/.f64 1/2 b)) a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 b)) 2) 1) (.f64 (/.f64 (cbrt.f64 (/.f64 1/2 b)) a) (/.f64 (PI.f64) (+.f64 b a))))
(.f64 (/.f64 1/2 a) (.f64 (/.f64 (/.f64 1 b) (+.f64 b a)) (PI.f64)))
(.f64 (.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) (/.f64 (/.f64 1 b) a))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 (+.f64 b a) (/.f64 a (PI.f64))))) (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 b a) (/.f64 a (PI.f64)))) b)))
(.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (.f64 (+.f64 b a) (/.f64 a (PI.f64)))) 2)) (/.f64 1 (.f64 (cbrt.f64 (.f64 (+.f64 b a) (/.f64 a (PI.f64)))) b)))
(.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a) (.f64 (sqrt.f64 (/.f64 1/2 b)) (/.f64 (PI.f64) (+.f64 b a))))
(.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a) (/.f64 (PI.f64) (+.f64 b a))) (sqrt.f64 (/.f64 1/2 b)))
(.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) (pow.f64 (cbrt.f64 (.f64 (+.f64 b a) (/.f64 a (PI.f64)))) 2)) (/.f64 (sqrt.f64 (/.f64 1/2 b)) (cbrt.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 b)) 2) a) (.f64 (/.f64 (cbrt.f64 (/.f64 1/2 b)) (+.f64 b a)) (PI.f64)))
(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 b)) 2) (+.f64 b a)) (PI.f64)) (/.f64 (cbrt.f64 (/.f64 1/2 b)) a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 b)) 2) (sqrt.f64 (.f64 (+.f64 b a) (/.f64 a (PI.f64))))) (/.f64 (cbrt.f64 (/.f64 1/2 b)) (sqrt.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 b)) 2) (pow.f64 (cbrt.f64 (.f64 (+.f64 b a) (/.f64 a (PI.f64)))) 2)) (cbrt.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a))))
(.f64 (/.f64 (/.f64 1/2 b) (neg.f64 (.f64 a (+.f64 b a)))) (neg.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 1/2 b) (.f64 a (-.f64 (neg.f64 b) a))) (neg.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 1/2 b) (.f64 (-.f64 (neg.f64 b) a) a)) (neg.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 1/2 b) (/.f64 (.f64 a (+.f64 b a)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 1/2 b) (/.f64 (.f64 a (+.f64 b a)) (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 1 (/.f64 a (.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))))) (/.f64 1 b))
(.f64 (/.f64 1 (/.f64 (+.f64 b a) (.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 b)) 2) (/.f64 (PI.f64) a)))) (cbrt.f64 (/.f64 1/2 b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 b)) 2) (.f64 (+.f64 b a) (/.f64 a (PI.f64)))) (cbrt.f64 (/.f64 1/2 b)))
(.f64 (/.f64 (/.f64 (PI.f64) (.f64 a (+.f64 b a))) b) 1/2)
(.f64 (/.f64 (/.f64 (PI.f64) (.f64 a (+.f64 b a))) 1) (/.f64 1/2 b))
(.f64 (/.f64 (/.f64 (PI.f64) (.f64 a (+.f64 b a))) (sqrt.f64 b)) (/.f64 1/2 (sqrt.f64 b)))
(.f64 (/.f64 (/.f64 (PI.f64) (.f64 a (+.f64 b a))) (pow.f64 (cbrt.f64 b) 2)) (/.f64 1/2 (cbrt.f64 b)))
(.f64 (/.f64 (/.f64 (PI.f64) (.f64 a (+.f64 b a))) (neg.f64 b)) -1/2)
(.f64 (/.f64 (/.f64 -1/2 b) (neg.f64 (.f64 a (+.f64 b a)))) (PI.f64))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 b) a) (+.f64 b a)) (PI.f64))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 b) a) 1) (/.f64 (PI.f64) (+.f64 b a)))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 b) a) (sqrt.f64 (+.f64 b a))) (/.f64 (PI.f64) (sqrt.f64 (+.f64 b a))))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 b) a) (pow.f64 (cbrt.f64 (+.f64 b a)) 2)) (/.f64 (PI.f64) (cbrt.f64 (+.f64 b a))))
(.f64 (/.f64 (/.f64 (/.f64 1/2 b) a) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (PI.f64) (-.f64 a b)))
(.f64 (/.f64 (/.f64 (/.f64 1/2 b) a) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (.f64 (PI.f64) (fma.f64 a a (*.f64 b (-.f64 b a)))))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 b) a) (-.f64 (neg.f64 b) a)) (neg.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 (/.f64 1/2 b) a) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (/.f64 1 (PI.f64)))) (-.f64 a b))
(.f64 (/.f64 (/.f64 (/.f64 1/2 b) a) (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 1 (PI.f64)))) (fma.f64 a a (*.f64 b (-.f64 b a))))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 b) a) (/.f64 (+.f64 b a) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 b) a) (/.f64 (+.f64 b a) (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 b) a) -1) (neg.f64 (/.f64 (PI.f64) (+.f64 b a))))
(.f64 (/.f64 (/.f64 (/.f64 1/2 b) a) (.f64 (-.f64 (.f64 a a) (.f64 b b)) 1)) (*.f64 (-.f64 a b) (PI.f64)))
(.f64 (/.f64 (/.f64 (/.f64 1/2 b) a) (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) 1)) (.f64 (fma.f64 a a (.f64 b (-.f64 b a))) (PI.f64)))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 b) a) (neg.f64 (-.f64 (neg.f64 b) a))) (neg.f64 (neg.f64 (PI.f64))))
(.f64 (/.f64 (/.f64 1/2 (.f64 (sqrt.f64 (.f64 (+.f64 b a) (/.f64 a (PI.f64)))) b)) (sqrt.f64 (.f64 a (+.f64 b a)))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 (/.f64 1/2 b) (pow.f64 (cbrt.f64 (.f64 (+.f64 b a) (/.f64 a (PI.f64)))) 2)) (cbrt.f64 (*.f64 a (+.f64 b a)))) (cbrt.f64 (PI.f64)))
(pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) a))) -1)
(neg.f64 (.f64 (/.f64 (/.f64 1/2 b) (neg.f64 (.f64 a (+.f64 b a)))) (PI.f64)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 1/2 b)) (/.f64 (PI.f64) (*.f64 a (+.f64 b a)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1/2 b) 3) (pow.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a))))
(exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 b) a))))
(+.f64 (.f64 (/.f64 1 (PI.f64)) a) (.f64 (/.f64 1 (PI.f64)) b))
(+.f64 (.f64 (/.f64 1 (PI.f64)) b) (.f64 (/.f64 1 (PI.f64)) a))
(+.f64 (.f64 a (/.f64 1 (PI.f64))) (.f64 b (/.f64 1 (PI.f64))))
(+.f64 (.f64 b (/.f64 1 (PI.f64))) (.f64 a (/.f64 1 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 b a) (PI.f64)))) 1)
(*.f64 (+.f64 b a) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (+.f64 b a) (PI.f64)) 1)
(*.f64 1 (/.f64 (+.f64 b a) (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 b a) (PI.f64))) (sqrt.f64 (/.f64 (+.f64 b a) (PI.f64))))
(.f64 (sqrt.f64 (+.f64 b a)) (.f64 (sqrt.f64 (+.f64 b a)) (/.f64 1 (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 b a) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 b a) (PI.f64))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b a) (PI.f64))) 2) (cbrt.f64 (/.f64 (+.f64 b a) (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 b a)) 2) (.f64 (cbrt.f64 (+.f64 b a)) (/.f64 1 (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) (+.f64 b a))
(*.f64 (-.f64 (neg.f64 b) a) (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (+.f64 b a) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (+.f64 b a) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (neg.f64 (PI.f64))) (-.f64 (neg.f64 b) a))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b a)) 1) (/.f64 (sqrt.f64 (+.f64 b a)) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b a)) (PI.f64)) (sqrt.f64 (+.f64 b a)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b a)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (+.f64 b a)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b a)) 2) 1) (/.f64 (cbrt.f64 (+.f64 b a)) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b a)) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (+.f64 b a)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b a)) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (+.f64 b a) (PI.f64))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) (sqrt.f64 (+.f64 b a)))) (sqrt.f64 (+.f64 b a)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (+.f64 b a)) 2))) (cbrt.f64 (+.f64 b a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b a)) 2) (PI.f64)) (cbrt.f64 (+.f64 b a)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 a a) (.f64 b b)) (/.f64 1 (PI.f64))) (-.f64 (.f64 a a) (.f64 b b))) (+.f64 b a))
(.f64 (/.f64 (.f64 (-.f64 (.f64 a a) (.f64 b b)) (/.f64 1 (PI.f64))) (-.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (.f64 a a) (.f64 b (+.f64 b a))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 1 (PI.f64))) (-.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 b (-.f64 b a)) (.f64 b (-.f64 b a))))) (-.f64 (.f64 a a) (.f64 b (-.f64 b a))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 1 (PI.f64))) (+.f64 (pow.f64 (.f64 a a) 3) (pow.f64 (.f64 b (-.f64 b a)) 3))) (+.f64 (.f64 (.f64 a a) (.f64 a a)) (-.f64 (.f64 (.f64 b (-.f64 b a)) (.f64 b (-.f64 b a))) (.f64 (.f64 a a) (*.f64 b (-.f64 b a))))))
(pow.f64 (/.f64 (+.f64 b a) (PI.f64)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 b a) (PI.f64))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 b a) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 b a) (PI.f64)) 3) 1/3)
(pow.f64 (/.f64 (PI.f64) (+.f64 b a)) -1)
(neg.f64 (/.f64 (+.f64 b a) (neg.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 b a) (PI.f64)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 b a) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 b a) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 b a) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 b a) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 b a) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (+.f64 b a) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b a) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 b a) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))))) 1)
(/.f64 a (/.f64 (PI.f64) (+.f64 b a)))
(/.f64 (+.f64 b a) (/.f64 (PI.f64) a))
(/.f64 (+.f64 b a) (*.f64 1 (/.f64 (PI.f64) a)))
(/.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))) 1)
(/.f64 1 (/.f64 (PI.f64) (*.f64 a (+.f64 b a))))
(/.f64 1 (.f64 (/.f64 (PI.f64) a) (/.f64 (-.f64 a b) (-.f64 (.f64 a a) (*.f64 b b)))))
(/.f64 1 (.f64 (/.f64 (PI.f64) a) (/.f64 (fma.f64 a a (.f64 b (-.f64 b a))) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(/.f64 (*.f64 a (+.f64 b a)) (PI.f64))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 (/.f64 (PI.f64) a) (-.f64 a b)))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (.f64 (/.f64 (PI.f64) a) (fma.f64 a a (.f64 b (-.f64 b a)))))
(/.f64 (*.f64 a (-.f64 (neg.f64 b) a)) (neg.f64 (PI.f64)))
(/.f64 (.f64 (-.f64 (.f64 a a) (.f64 b b)) a) (.f64 (PI.f64) (-.f64 a b)))
(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) a) (.f64 (PI.f64) (fma.f64 a a (*.f64 b (-.f64 b a)))))
(/.f64 (*.f64 (-.f64 (neg.f64 b) a) a) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 a (+.f64 b a)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 a (+.f64 b a)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 a (+.f64 b a))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (-.f64 (.f64 a a) (.f64 b b))) (*.f64 (/.f64 (PI.f64) a) (neg.f64 (-.f64 a b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (.f64 (/.f64 (PI.f64) a) (neg.f64 (fma.f64 a a (.f64 b (-.f64 b a))))))
(/.f64 (-.f64 (.f64 b b) (.f64 a a)) (*.f64 (/.f64 (PI.f64) a) (-.f64 b a)))
(pow.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))) 2))
(log.f64 (exp.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 (+.f64 b a) (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 b a) (PI.f64)) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 b a) (/.f64 a (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64)))))

Outputs
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a))))
(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a a)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a a)))))
(fma.f64 1/2 (/.f64 (PI.f64) (.f64 b (.f64 a a))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))))
(.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 b (.f64 a a))) (/.f64 (.f64 (PI.f64) b) (pow.f64 a 4)))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 b (.f64 a a))) (.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))))
(+.f64 (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) (.f64 1/2 (.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (.f64 (PI.f64) (.f64 b b)) (pow.f64 a 5)) (.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 b (.f64 a a))) (/.f64 (.f64 (PI.f64) b) (pow.f64 a 4))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 b (.f64 a a))) (.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (.f64 -1/2 (.f64 (/.f64 (.f64 b b) (pow.f64 a 5)) (PI.f64)))))
(+.f64 (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) (+.f64 (.f64 1/2 (.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (.f64 -1/2 (.f64 (/.f64 (*.f64 b b) (pow.f64 a 5)) (PI.f64)))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (.f64 b b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b)))))
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(+.f64 (/.f64 b (PI.f64)) (/.f64 a (PI.f64)))
(/.f64 (+.f64 a b) (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 b a) (PI.f64))) 2)
(+.f64 (/.f64 b (PI.f64)) (/.f64 a (PI.f64)))
(/.f64 (+.f64 a b) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 b a) (PI.f64))) 3)
(+.f64 (/.f64 b (PI.f64)) (/.f64 a (PI.f64)))
(/.f64 (+.f64 a b) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (+.f64 b a) (PI.f64)) 3) 1/3)
(+.f64 (/.f64 b (PI.f64)) (/.f64 a (PI.f64)))
(/.f64 (+.f64 a b) (PI.f64))
(pow.f64 (/.f64 (PI.f64) (+.f64 b a)) -1)
(+.f64 (/.f64 b (PI.f64)) (/.f64 a (PI.f64)))
(/.f64 (+.f64 a b) (PI.f64))
(neg.f64 (/.f64 (+.f64 b a) (neg.f64 (PI.f64))))
(+.f64 (/.f64 b (PI.f64)) (/.f64 a (PI.f64)))
(/.f64 (+.f64 a b) (PI.f64))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 b a) (PI.f64)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 a b) (PI.f64)) 2))
(fabs.f64 (/.f64 (+.f64 a b) (PI.f64)))
(log.f64 (exp.f64 (/.f64 (+.f64 b a) (PI.f64))))
(+.f64 (/.f64 b (PI.f64)) (/.f64 a (PI.f64)))
(/.f64 (+.f64 a b) (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 b a) (PI.f64)))))
(+.f64 (/.f64 b (PI.f64)) (/.f64 a (PI.f64)))
(/.f64 (+.f64 a b) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 b a) (PI.f64)) 3))
(+.f64 (/.f64 b (PI.f64)) (/.f64 a (PI.f64)))
(/.f64 (+.f64 a b) (PI.f64))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 b a) 3) (pow.f64 (PI.f64) 3)))
(+.f64 (/.f64 b (PI.f64)) (/.f64 a (PI.f64)))
(/.f64 (+.f64 a b) (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 b a) (PI.f64))))
(+.f64 (/.f64 b (PI.f64)) (/.f64 a (PI.f64)))
(/.f64 (+.f64 a b) (PI.f64))
(exp.f64 (log.f64 (/.f64 (+.f64 b a) (PI.f64))))
(+.f64 (/.f64 b (PI.f64)) (/.f64 a (PI.f64)))
(/.f64 (+.f64 a b) (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b a) (PI.f64))) 1))
(+.f64 (/.f64 b (PI.f64)) (/.f64 a (PI.f64)))
(/.f64 (+.f64 a b) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 b a) (PI.f64))))
(+.f64 (/.f64 b (PI.f64)) (/.f64 a (PI.f64)))
(/.f64 (+.f64 a b) (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))))) 1)
(/.f64 a (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 a (/.f64 (+.f64 a b) (PI.f64)))
(/.f64 a (/.f64 (PI.f64) (+.f64 b a)))
(/.f64 a (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 a (/.f64 (+.f64 a b) (PI.f64)))
(/.f64 (+.f64 b a) (/.f64 (PI.f64) a))
(/.f64 a (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 a (/.f64 (+.f64 a b) (PI.f64)))
(/.f64 (+.f64 b a) (*.f64 1 (/.f64 (PI.f64) a)))
(/.f64 a (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 a (/.f64 (+.f64 a b) (PI.f64)))
(/.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))) 1)
(/.f64 a (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 a (/.f64 (+.f64 a b) (PI.f64)))
(/.f64 1 (/.f64 (PI.f64) (*.f64 a (+.f64 b a))))
(/.f64 a (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 a (/.f64 (+.f64 a b) (PI.f64)))
(/.f64 1 (.f64 (/.f64 (PI.f64) a) (/.f64 (-.f64 a b) (-.f64 (.f64 a a) (*.f64 b b)))))
(.f64 (.f64 a (/.f64 (+.f64 a b) (PI.f64))) (/.f64 (-.f64 a b) (-.f64 a b)))
(/.f64 1 (.f64 (/.f64 (PI.f64) a) (/.f64 (fma.f64 a a (.f64 b (-.f64 b a))) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(.f64 (/.f64 a (PI.f64)) (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (fma.f64 a a (.f64 b (-.f64 b a)))))
(/.f64 (*.f64 a (+.f64 b a)) (PI.f64))
(/.f64 a (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 a (/.f64 (+.f64 a b) (PI.f64)))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 (/.f64 (PI.f64) a) (-.f64 a b)))
(/.f64 1 (.f64 (/.f64 (PI.f64) a) (/.f64 (-.f64 a b) (-.f64 (.f64 a a) (*.f64 b b)))))
(.f64 (.f64 a (/.f64 (+.f64 a b) (PI.f64))) (/.f64 (-.f64 a b) (-.f64 a b)))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (.f64 (/.f64 (PI.f64) a) (fma.f64 a a (.f64 b (-.f64 b a)))))
(/.f64 1 (.f64 (/.f64 (PI.f64) a) (/.f64 (fma.f64 a a (.f64 b (-.f64 b a))) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(.f64 (/.f64 a (PI.f64)) (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (fma.f64 a a (.f64 b (-.f64 b a)))))
(/.f64 (*.f64 a (-.f64 (neg.f64 b) a)) (neg.f64 (PI.f64)))
(/.f64 a (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 a (/.f64 (+.f64 a b) (PI.f64)))
(/.f64 (.f64 (-.f64 (.f64 a a) (.f64 b b)) a) (.f64 (PI.f64) (-.f64 a b)))
(/.f64 1 (.f64 (/.f64 (PI.f64) a) (/.f64 (-.f64 a b) (-.f64 (.f64 a a) (*.f64 b b)))))
(.f64 (.f64 a (/.f64 (+.f64 a b) (PI.f64))) (/.f64 (-.f64 a b) (-.f64 a b)))
(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) a) (.f64 (PI.f64) (fma.f64 a a (*.f64 b (-.f64 b a)))))
(/.f64 1 (.f64 (/.f64 (PI.f64) a) (/.f64 (fma.f64 a a (.f64 b (-.f64 b a))) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(.f64 (/.f64 a (PI.f64)) (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (fma.f64 a a (.f64 b (-.f64 b a)))))
(/.f64 (*.f64 (-.f64 (neg.f64 b) a) a) (neg.f64 (PI.f64)))
(/.f64 a (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 a (/.f64 (+.f64 a b) (PI.f64)))
(/.f64 (/.f64 (*.f64 a (+.f64 b a)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 a (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 a (/.f64 (+.f64 a b) (PI.f64)))
(/.f64 (/.f64 (*.f64 a (+.f64 b a)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(/.f64 a (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 a (/.f64 (+.f64 a b) (PI.f64)))
(/.f64 (neg.f64 (*.f64 a (+.f64 b a))) (neg.f64 (PI.f64)))
(/.f64 a (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 a (/.f64 (+.f64 a b) (PI.f64)))
(/.f64 (neg.f64 (-.f64 (.f64 a a) (.f64 b b))) (*.f64 (/.f64 (PI.f64) a) (neg.f64 (-.f64 a b))))
(/.f64 (neg.f64 (-.f64 (.f64 a a) (.f64 b b))) (/.f64 (*.f64 (PI.f64) (neg.f64 (-.f64 a b))) a))
(.f64 (.f64 a (/.f64 (+.f64 a b) (PI.f64))) (/.f64 (-.f64 b a) (-.f64 b a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (.f64 (/.f64 (PI.f64) a) (neg.f64 (fma.f64 a a (.f64 b (-.f64 b a))))))
(.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 a 3)) (pow.f64 b 3)) (.f64 (neg.f64 (PI.f64)) (fma.f64 a a (*.f64 b (-.f64 b a))))) a)
(/.f64 (.f64 (neg.f64 a) (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (PI.f64))) (-.f64 (.f64 b (-.f64 a b)) (*.f64 a a)))
(/.f64 (-.f64 (.f64 b b) (.f64 a a)) (*.f64 (/.f64 (PI.f64) a) (-.f64 b a)))
(/.f64 (neg.f64 (-.f64 (.f64 a a) (.f64 b b))) (/.f64 (*.f64 (PI.f64) (neg.f64 (-.f64 a b))) a))
(.f64 (.f64 a (/.f64 (+.f64 a b) (PI.f64))) (/.f64 (-.f64 b a) (-.f64 b a)))
(pow.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))) 1)
(/.f64 a (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 a (/.f64 (+.f64 a b) (PI.f64)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64)))) 2)
(/.f64 a (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 a (/.f64 (+.f64 a b) (PI.f64)))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64)))) 3)
(/.f64 a (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 a (/.f64 (+.f64 a b) (PI.f64)))
(pow.f64 (pow.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))) 3) 1/3)
(/.f64 a (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 a (/.f64 (+.f64 a b) (PI.f64)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))) 2))
(sqrt.f64 (pow.f64 (/.f64 a (/.f64 (PI.f64) (+.f64 a b))) 2))
(fabs.f64 (*.f64 a (/.f64 (+.f64 a b) (PI.f64))))
(log.f64 (exp.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64)))))
(/.f64 a (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 a (/.f64 (+.f64 a b) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))))))
(/.f64 a (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 a (/.f64 (+.f64 a b) (PI.f64)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64))) 3))
(/.f64 a (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 a (/.f64 (+.f64 a b) (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 (+.f64 b a) (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 (+.f64 a b) (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 b a) (PI.f64)) 3) (pow.f64 a 3)))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 (+.f64 a b) (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64)))))
(/.f64 a (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 a (/.f64 (+.f64 a b) (PI.f64)))
(exp.f64 (log.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64)))))
(/.f64 a (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 a (/.f64 (+.f64 a b) (PI.f64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 b a) (/.f64 a (PI.f64)))) 1))
(/.f64 a (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 a (/.f64 (+.f64 a b) (PI.f64)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 b a) (/.f64 a (PI.f64)))))
(/.f64 a (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 a (/.f64 (+.f64 a b) (PI.f64)))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.37%	(/.f64 (PI.f64) a)
✓	0.38%	(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
	0.69%	(/.f64 1/2 (*.f64 a b))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
0.0ms	a	@	inf	(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
0.0ms	b	@	-inf	(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
0.0ms	a	@	-inf	(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
0.0ms	b	@	inf	(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1438×	`associate-/l*`
1084×	`unswap-sqr`
852×	`swap-sqr`
400×	`associate-/l/`
328×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	239	27
2	3261	27

Stop Event

1×	node limit

Counts

1 → 145

Calls

Call 1

Inputs
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 1/2 b) (*.f64 a a)) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (*.f64 (/.f64 a 1/2) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (*.f64 a (*.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (/.f64 (*.f64 (/.f64 a 1/2) (*.f64 a b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (/.f64 (*.f64 a (*.f64 (*.f64 a b) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (/.f64 (*.f64 (*.f64 a b) 2) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (/.f64 (*.f64 a (*.f64 a (neg.f64 b))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) a) (*.f64 (*.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 (/.f64 a (PI.f64)) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 (*.f64 a b) (/.f64 a (PI.f64))))))) 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simplify109.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

960×	`associate-/r*`
874×	`associate-/l*`
730×	`associate-/r/`
542×	`times-frac`
506×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	408	5955
1	1156	5925
2	5142	5925

Stop Event

1×	node limit

Counts

169 → 231

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (/.f64 1/2 b) (.f64 a a)) (PI.f64)))) 1)
(/.f64 (PI.f64) (.f64 (/.f64 a 1/2) (.f64 a b)))
(/.f64 (PI.f64) (.f64 a (.f64 (*.f64 a b) 2)))
(/.f64 (PI.f64) (/.f64 (.f64 (/.f64 a 1/2) (.f64 a b)) 1))
(/.f64 (PI.f64) (/.f64 (.f64 a (.f64 (*.f64 a b) 2)) 1))
(/.f64 (PI.f64) (/.f64 (.f64 (.f64 a b) 2) (/.f64 1 a)))
(/.f64 (PI.f64) (/.f64 (.f64 a (.f64 a (neg.f64 b))) -1/2))
(/.f64 (/.f64 (PI.f64) a) (.f64 (.f64 a b) 2))
(/.f64 1/2 (.f64 (/.f64 a (PI.f64)) (.f64 a b)))
(/.f64 1/2 (.f64 (.f64 a b) (/.f64 a (PI.f64))))
(/.f64 1/2 (/.f64 (/.f64 a (PI.f64)) (/.f64 (/.f64 1 a) b)))
(/.f64 1/2 (/.f64 (*.f64 a b) (/.f64 (PI.f64) a)))
(/.f64 1/2 (/.f64 (*.f64 (/.f64 a (PI.f64)) b) (/.f64 1 a)))
(/.f64 1/2 (/.f64 (.f64 a (.f64 a b)) (PI.f64)))
(/.f64 1/2 (/.f64 (.f64 a (.f64 a (neg.f64 b))) (neg.f64 (PI.f64))))
(/.f64 1/2 (.f64 (.f64 (/.f64 a (PI.f64)) b) a))
(/.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 a (PI.f64)))
(/.f64 1 (.f64 (/.f64 a (.f64 (PI.f64) 1/2)) (*.f64 a b)))
(/.f64 1 (/.f64 (.f64 (/.f64 a 1/2) (.f64 a b)) (PI.f64)))
(/.f64 1 (/.f64 (.f64 a (.f64 (*.f64 a b) 2)) (PI.f64)))
(/.f64 1 (/.f64 (.f64 (.f64 a b) 2) (/.f64 (PI.f64) a)))
(/.f64 1 (/.f64 (/.f64 a (PI.f64)) (/.f64 1/2 (*.f64 a b))))
(/.f64 1 (/.f64 (*.f64 (/.f64 a (PI.f64)) b) (/.f64 1/2 a)))
(/.f64 1 (/.f64 (.f64 (.f64 (*.f64 a b) 2) (neg.f64 a)) (neg.f64 (PI.f64))))
(/.f64 1 (.f64 (.f64 (/.f64 a (PI.f64)) b) (/.f64 a 1/2)))
(/.f64 (sqrt.f64 (/.f64 (PI.f64) a)) (/.f64 (.f64 (.f64 a b) 2) (sqrt.f64 (/.f64 (PI.f64) a))))
(/.f64 (sqrt.f64 (/.f64 (PI.f64) a)) (/.f64 (.f64 a b) (.f64 (sqrt.f64 (/.f64 (PI.f64) a)) 1/2)))
(/.f64 (sqrt.f64 (/.f64 1/2 (.f64 a b))) (/.f64 (/.f64 a (PI.f64)) (sqrt.f64 (/.f64 1/2 (.f64 a b)))))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (/.f64 a 1/2) (.f64 a b)) (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 a (.f64 (*.f64 a b) 2)) (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (.f64 a b) 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 a))))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 a (.f64 (sqrt.f64 (PI.f64)) (/.f64 1/2 (.f64 a b)))))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 a (.f64 a b)) (*.f64 (sqrt.f64 (PI.f64)) 1/2)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (.f64 (*.f64 a b) 2) (neg.f64 a)) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (*.f64 a b) 2) (/.f64 a (sqrt.f64 (PI.f64)))))
(/.f64 (cbrt.f64 (/.f64 (PI.f64) a)) (/.f64 (.f64 (.f64 a b) 2) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) a)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) a)) 2) (/.f64 (.f64 (.f64 a b) 2) (cbrt.f64 (/.f64 (PI.f64) a))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) a)) 2) (/.f64 (.f64 a b) (.f64 (cbrt.f64 (/.f64 (PI.f64) a)) 1/2)))
(/.f64 (cbrt.f64 (/.f64 1/2 (.f64 a b))) (/.f64 (/.f64 a (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a b))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a b))) 2) (/.f64 (/.f64 a (PI.f64)) (cbrt.f64 (/.f64 1/2 (.f64 a b)))))
(/.f64 (cbrt.f64 (PI.f64)) (/.f64 (.f64 (/.f64 a 1/2) (.f64 a b)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(/.f64 (cbrt.f64 (PI.f64)) (/.f64 (.f64 a (.f64 (*.f64 a b) 2)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (.f64 (/.f64 a 1/2) (.f64 a b)) (cbrt.f64 (PI.f64))))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (.f64 a (.f64 (*.f64 a b) 2)) (cbrt.f64 (PI.f64))))
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(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 a (.f64 (cbrt.f64 (PI.f64)) (/.f64 1/2 (.f64 a b)))))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (.f64 a (.f64 a b)) (*.f64 (cbrt.f64 (PI.f64)) 1/2)))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (.f64 (.f64 (*.f64 a b) 2) (neg.f64 a)) (neg.f64 (cbrt.f64 (PI.f64)))))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (.f64 (*.f64 a b) 2) (/.f64 a (cbrt.f64 (PI.f64)))))
(/.f64 (.f64 (PI.f64) (/.f64 1/2 a)) (.f64 a b))
(/.f64 (.f64 (PI.f64) (/.f64 1/2 (.f64 a b))) a)
(/.f64 (/.f64 1/2 a) (*.f64 (/.f64 a (PI.f64)) b))
(/.f64 (/.f64 1/2 a) (/.f64 b (/.f64 (PI.f64) a)))
(/.f64 (/.f64 1/2 a) (/.f64 (/.f64 a (PI.f64)) (/.f64 1 b)))
(/.f64 (/.f64 1/2 a) (/.f64 (*.f64 a b) (PI.f64)))
(/.f64 (/.f64 1/2 a) (/.f64 (*.f64 b (/.f64 a (PI.f64))) 1))
(/.f64 (/.f64 1/2 a) (/.f64 (*.f64 a (neg.f64 b)) (neg.f64 (PI.f64))))
(/.f64 (/.f64 1 a) (/.f64 (.f64 (.f64 a b) 2) (PI.f64)))
(/.f64 (/.f64 (/.f64 1 a) b) (/.f64 (/.f64 a (PI.f64)) 1/2))
(/.f64 (.f64 (PI.f64) 1/2) (.f64 a (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) 1/2) (/.f64 a (/.f64 (/.f64 1 a) b)))
(/.f64 (neg.f64 (PI.f64)) (.f64 (neg.f64 a) (.f64 (*.f64 a b) 2)))
(/.f64 (neg.f64 (PI.f64)) (.f64 (.f64 (*.f64 a b) 2) (neg.f64 a)))
(/.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 (.f64 a b) 2) (/.f64 1 (neg.f64 a))))
(/.f64 (neg.f64 (PI.f64)) (/.f64 (neg.f64 a) (/.f64 1/2 (*.f64 a b))))
(/.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 a (.f64 a (neg.f64 b))) 1/2))
(/.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 (neg.f64 a) (.f64 (*.f64 a b) 2)) 1))
(/.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 a (neg.f64 b)) (/.f64 1/2 a)))
(/.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 (neg.f64 a) (.f64 a (neg.f64 b))) -1/2))
(/.f64 -1/2 (.f64 (/.f64 a (PI.f64)) (.f64 a (neg.f64 b))))
(/.f64 -1/2 (.f64 (.f64 a (neg.f64 b)) (/.f64 a (PI.f64))))
(/.f64 -1/2 (/.f64 (/.f64 a (PI.f64)) (/.f64 1 (*.f64 a (neg.f64 b)))))
(/.f64 -1/2 (/.f64 (*.f64 a (neg.f64 b)) (/.f64 (PI.f64) a)))
(/.f64 -1/2 (/.f64 (.f64 a (.f64 a (neg.f64 b))) (PI.f64)))
(/.f64 -1/2 (/.f64 (.f64 (neg.f64 a) (.f64 a (neg.f64 b))) (neg.f64 (PI.f64))))
(/.f64 -1/2 (.f64 (.f64 (/.f64 a (PI.f64)) b) (neg.f64 a)))
(/.f64 (sqrt.f64 (/.f64 1/2 a)) (/.f64 (*.f64 (/.f64 a (PI.f64)) b) (sqrt.f64 (/.f64 1/2 a))))
(/.f64 (sqrt.f64 (neg.f64 (PI.f64))) (/.f64 (.f64 (.f64 (*.f64 a b) 2) (neg.f64 a)) (sqrt.f64 (neg.f64 (PI.f64)))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (/.f64 1/2 a))) (/.f64 (.f64 a b) (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a)))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (/.f64 (.f64 a (.f64 a b)) (sqrt.f64 (.f64 (PI.f64) 1/2))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (/.f64 1/2 (.f64 a b)))) (/.f64 a (sqrt.f64 (.f64 (PI.f64) (/.f64 1/2 (.f64 a b))))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (/.f64 1/2 a))) (/.f64 (.f64 (/.f64 a (PI.f64)) b) (cbrt.f64 (/.f64 1/2 a))))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (PI.f64))) (cbrt.f64 (neg.f64 (PI.f64)))) (/.f64 (.f64 (.f64 (.f64 a b) 2) (neg.f64 a)) (cbrt.f64 (neg.f64 (PI.f64)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (/.f64 1/2 a))) (cbrt.f64 (.f64 (PI.f64) (/.f64 1/2 a)))) (/.f64 (.f64 a b) (cbrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (/.f64 (.f64 a (.f64 a b)) (cbrt.f64 (.f64 (PI.f64) 1/2))))
(/.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (/.f64 1/2 (.f64 a b)))) (cbrt.f64 (.f64 (PI.f64) (/.f64 1/2 (.f64 a b))))) (/.f64 a (cbrt.f64 (.f64 (PI.f64) (/.f64 1/2 (*.f64 a b))))))
(/.f64 (.f64 (PI.f64) (sqrt.f64 (/.f64 1/2 (.f64 a b)))) (/.f64 a (sqrt.f64 (/.f64 1/2 (*.f64 a b)))))
(/.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a b))) 2)) (/.f64 a (cbrt.f64 (/.f64 1/2 (*.f64 a b)))))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 a)) b)
(/.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) a)) b)
(/.f64 (.f64 (PI.f64) -1/2) (.f64 a (*.f64 a (neg.f64 b))))
(/.f64 (/.f64 (/.f64 (PI.f64) a) (/.f64 a 1/2)) b)
(/.f64 (/.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 a b)) (/.f64 1/2 a))) (sqrt.f64 (.f64 a b)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) (/.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) 1/2)) (cbrt.f64 (.f64 a b)))
(/.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 (sqrt.f64 a) (PI.f64))) (sqrt.f64 a))
(/.f64 (/.f64 (.f64 (PI.f64) (/.f64 1/2 (.f64 a b))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(/.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (.f64 (.f64 a b) 2) (/.f64 (PI.f64) (sqrt.f64 a))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (.f64 (.f64 a b) 2) (/.f64 (PI.f64) (cbrt.f64 a))))
(/.f64 (/.f64 (PI.f64) 1) (.f64 (/.f64 a 1/2) (.f64 a b)))
(/.f64 (/.f64 (PI.f64) (sqrt.f64 a)) (.f64 (.f64 (*.f64 a b) 2) (sqrt.f64 a)))
(/.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 a) 2)) (.f64 (.f64 (*.f64 a b) 2) (cbrt.f64 a)))
(/.f64 (/.f64 1/2 (sqrt.f64 a)) (.f64 (.f64 (/.f64 a (PI.f64)) b) (sqrt.f64 a)))
(/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 a) 2)) (.f64 (.f64 (/.f64 a (PI.f64)) b) (cbrt.f64 a)))
(/.f64 (/.f64 1/2 b) (*.f64 (/.f64 a (PI.f64)) a))
(/.f64 (/.f64 1/2 (sqrt.f64 (.f64 a b))) (.f64 (/.f64 a (PI.f64)) (sqrt.f64 (*.f64 a b))))
(/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (.f64 (/.f64 a (PI.f64)) (cbrt.f64 (*.f64 a b))))
(/.f64 (/.f64 1/2 (.f64 (sqrt.f64 b) a)) (.f64 (/.f64 a (PI.f64)) (sqrt.f64 b)))
(/.f64 (/.f64 (/.f64 1/2 a) (pow.f64 (cbrt.f64 b) 2)) (*.f64 (/.f64 a (PI.f64)) (cbrt.f64 b)))
(/.f64 -1 (/.f64 (.f64 (.f64 (*.f64 a b) 2) (neg.f64 a)) (PI.f64)))
(/.f64 -1 (.f64 (.f64 (*.f64 a b) 2) (/.f64 a (neg.f64 (PI.f64)))))
(/.f64 -1 (.f64 (/.f64 a (PI.f64)) (.f64 (*.f64 a b) -2)))
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 (.f64 (.f64 (*.f64 a b) 2) (neg.f64 a)) (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (.f64 (.f64 (*.f64 a b) 2) (neg.f64 a)) (cbrt.f64 (PI.f64))))
(/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (/.f64 1/2 (.f64 a b)))) (/.f64 a (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (/.f64 1/2 (.f64 a b))))))
(/.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (.f64 (.f64 a b) 2) (/.f64 (sqrt.f64 (PI.f64)) a)))
(/.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (.f64 (.f64 a b) 2) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 a))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (.f64 (.f64 a b) 2) (/.f64 (cbrt.f64 (PI.f64)) a)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 a)) (/.f64 (.f64 (.f64 a b) 2) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 a))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (.f64 (.f64 a b) 2) (cbrt.f64 (/.f64 (PI.f64) a))))
(/.f64 (.f64 (/.f64 1/2 a) 1) (.f64 b (/.f64 a (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) -1/2) (.f64 (neg.f64 a) (*.f64 a (neg.f64 b))))
(/.f64 (.f64 (PI.f64) (/.f64 -1/2 a)) (.f64 a (neg.f64 b)))
(/.f64 (/.f64 (.f64 (PI.f64) -1/2) (.f64 a b)) (neg.f64 a))
(/.f64 (/.f64 -1/2 a) (*.f64 (/.f64 a (PI.f64)) (neg.f64 b)))
(pow.f64 (.f64 (/.f64 (/.f64 1/2 b) (.f64 a a)) (PI.f64)) 1)
(pow.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 1/2 b) (.f64 a a)) (PI.f64))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 1/2 b) (.f64 a a)) (PI.f64))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 (/.f64 1/2 b) (.f64 a a)) (PI.f64)) 3) 1/3)
(neg.f64 (.f64 (/.f64 (PI.f64) (neg.f64 a)) (/.f64 1/2 (.f64 a b))))
(neg.f64 (.f64 (/.f64 1/2 (.f64 a b)) (/.f64 (PI.f64) (neg.f64 a))))
(neg.f64 (/.f64 (/.f64 (PI.f64) (neg.f64 a)) (.f64 (.f64 a b) 2)))
(neg.f64 (/.f64 (PI.f64) (.f64 (.f64 (*.f64 a b) 2) (neg.f64 a))))
(neg.f64 (/.f64 (.f64 (PI.f64) (/.f64 1/2 a)) (.f64 a (neg.f64 b))))
(neg.f64 (/.f64 (.f64 (PI.f64) (/.f64 1/2 (.f64 a b))) (neg.f64 a)))
(neg.f64 (/.f64 (.f64 (PI.f64) 1/2) (.f64 a (*.f64 a (neg.f64 b)))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (/.f64 1/2 b) (.f64 a a)) (PI.f64)) 2))
(log.f64 (exp.f64 (.f64 (/.f64 (/.f64 1/2 b) (.f64 a a)) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (/.f64 1/2 b) (.f64 a a)) (PI.f64)))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (/.f64 1/2 b) (.f64 a a)) (PI.f64)) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) a) 3) (pow.f64 (/.f64 1/2 (.f64 a b)) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1/2 (.f64 a b)) 3) (pow.f64 (/.f64 (PI.f64) a) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (/.f64 1/2 b) (.f64 a a)) (PI.f64))))
(exp.f64 (log.f64 (.f64 (/.f64 (/.f64 1/2 b) (.f64 a a)) (PI.f64))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (/.f64 1/2 b) (*.f64 a a)) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (/.f64 1/2 b) (.f64 a a)) (PI.f64))))

Outputs
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
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(/.f64 (/.f64 (PI.f64) a) (/.f64 (.f64 (cbrt.f64 (.f64 a b)) (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) 1/2))
(/.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 (sqrt.f64 a) (PI.f64))) (sqrt.f64 a))
(/.f64 (/.f64 1/2 (.f64 a b)) (.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 a) (PI.f64))))
(/.f64 (/.f64 (.f64 (PI.f64) (/.f64 1/2 (.f64 a b))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(/.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (.f64 (.f64 a b) 2) (/.f64 (PI.f64) (sqrt.f64 a))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 a)) (.f64 a (*.f64 b 2))) (/.f64 (PI.f64) (sqrt.f64 a)))
(.f64 (/.f64 (PI.f64) (sqrt.f64 a)) (/.f64 1 (.f64 2 (.f64 (.f64 a b) (sqrt.f64 a)))))
(.f64 (/.f64 (PI.f64) (sqrt.f64 a)) (/.f64 1 (.f64 a (.f64 (.f64 2 b) (sqrt.f64 a)))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (.f64 (.f64 a b) 2) (/.f64 (PI.f64) (cbrt.f64 a))))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(/.f64 (/.f64 (PI.f64) 1) (.f64 (/.f64 a 1/2) (.f64 a b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(/.f64 (/.f64 (PI.f64) (sqrt.f64 a)) (.f64 (.f64 (*.f64 a b) 2) (sqrt.f64 a)))
(/.f64 (PI.f64) (.f64 (.f64 (.f64 a b) (.f64 2 (sqrt.f64 a))) (sqrt.f64 a)))
(/.f64 (PI.f64) (.f64 (.f64 b (/.f64 a 1/2)) (*.f64 (sqrt.f64 a) (sqrt.f64 a))))
(/.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 a) 2)) (.f64 (.f64 (*.f64 a b) 2) (cbrt.f64 a)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(/.f64 (/.f64 1/2 (sqrt.f64 a)) (.f64 (.f64 (/.f64 a (PI.f64)) b) (sqrt.f64 a)))
(/.f64 (/.f64 1/2 (.f64 a b)) (.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 a) (PI.f64))))
(/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 a) 2)) (.f64 (.f64 (/.f64 a (PI.f64)) b) (cbrt.f64 a)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(/.f64 (/.f64 1/2 b) (*.f64 (/.f64 a (PI.f64)) a))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(/.f64 (/.f64 1/2 (sqrt.f64 (.f64 a b))) (.f64 (/.f64 a (PI.f64)) (sqrt.f64 (*.f64 a b))))
(/.f64 (/.f64 1/2 (/.f64 (.f64 a (sqrt.f64 (.f64 a b))) (PI.f64))) (sqrt.f64 (*.f64 a b)))
(.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (.f64 a b))) (.f64 a (sqrt.f64 (.f64 a b)))) (PI.f64))
(/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (.f64 (/.f64 a (PI.f64)) (cbrt.f64 (*.f64 a b))))
(/.f64 1/2 (.f64 (.f64 (/.f64 a (PI.f64)) (cbrt.f64 (.f64 a b))) (pow.f64 (cbrt.f64 (.f64 a b)) 2)))
(/.f64 1/2 (.f64 (/.f64 a (PI.f64)) (.f64 (cbrt.f64 (.f64 a b)) (pow.f64 (cbrt.f64 (.f64 a b)) 2))))
(/.f64 (/.f64 1/2 (.f64 (sqrt.f64 b) a)) (.f64 (/.f64 a (PI.f64)) (sqrt.f64 b)))
(/.f64 1/2 (.f64 (.f64 (/.f64 a (PI.f64)) (sqrt.f64 b)) (*.f64 a (sqrt.f64 b))))
(.f64 (/.f64 (/.f64 1/2 (.f64 a (sqrt.f64 b))) (*.f64 a (sqrt.f64 b))) (PI.f64))
(.f64 (/.f64 (/.f64 (/.f64 1/2 (sqrt.f64 b)) a) (.f64 a (sqrt.f64 b))) (PI.f64))
(/.f64 (/.f64 (/.f64 1/2 a) (pow.f64 (cbrt.f64 b) 2)) (*.f64 (/.f64 a (PI.f64)) (cbrt.f64 b)))
(/.f64 (/.f64 1/2 (.f64 (pow.f64 (cbrt.f64 b) 2) a)) (.f64 (/.f64 a (PI.f64)) (cbrt.f64 b)))
(/.f64 1/2 (.f64 (.f64 (/.f64 a (PI.f64)) (*.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2))) a))
(/.f64 -1 (/.f64 (.f64 (.f64 (*.f64 a b) 2) (neg.f64 a)) (PI.f64)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(/.f64 -1 (.f64 (.f64 (*.f64 a b) 2) (/.f64 a (neg.f64 (PI.f64)))))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(/.f64 -1 (.f64 (/.f64 a (PI.f64)) (.f64 (*.f64 a b) -2)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 (.f64 (.f64 (*.f64 a b) 2) (neg.f64 a)) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 a b) (.f64 2 (neg.f64 a)))) (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 -1/2 (*.f64 a b)) (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 a))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (.f64 a (.f64 a (.f64 b -2)))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (.f64 (.f64 (*.f64 a b) 2) (neg.f64 a)) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (.f64 a b) (.f64 2 (neg.f64 a)))) (neg.f64 (cbrt.f64 (PI.f64))))
(.f64 (neg.f64 (cbrt.f64 (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 a (.f64 b (.f64 -2 a)))))
(/.f64 (neg.f64 (cbrt.f64 (PI.f64))) (/.f64 (.f64 a (.f64 a (*.f64 b -2))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (/.f64 1/2 (.f64 a b)))) (/.f64 a (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (/.f64 1/2 (.f64 a b))))))
(.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 1/2 (.f64 a b))) (sqrt.f64 (PI.f64))) a) (.f64 (sqrt.f64 (/.f64 1/2 (*.f64 a b))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 (/.f64 1/2 (.f64 a b))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (/.f64 1/2 (.f64 a b))) (/.f64 a (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1/2 (.f64 a b))) (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (/.f64 1/2 (*.f64 a b))) (sqrt.f64 (PI.f64)))) a)
(/.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (.f64 (.f64 a b) 2) (/.f64 (sqrt.f64 (PI.f64)) a)))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 a 1/2) (*.f64 a b))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (.f64 a (*.f64 b (/.f64 a 1/2)))))
(.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (.f64 a (.f64 a b))))
(/.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (.f64 (.f64 a b) 2) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 a))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 a 1/2) (*.f64 a b))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (.f64 a (*.f64 b (/.f64 a 1/2)))))
(.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (.f64 a (.f64 a b))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (.f64 (.f64 a b) 2) (/.f64 (cbrt.f64 (PI.f64)) a)))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) (.f64 (/.f64 a 1/2) (*.f64 a b))) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (.f64 a (.f64 b (/.f64 a 1/2))) (cbrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 b (*.f64 a (/.f64 a 1/2)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 a)) (/.f64 (.f64 (.f64 a b) 2) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 a))))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (.f64 (/.f64 (.f64 a (.f64 b 2)) (cbrt.f64 (PI.f64))) (sqrt.f64 a)) (sqrt.f64 a)))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 a)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 2 (.f64 (.f64 a b) (sqrt.f64 a)))))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 a)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 a (.f64 (.f64 2 b) (sqrt.f64 a)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (.f64 (.f64 a b) 2) (cbrt.f64 (/.f64 (PI.f64) a))))
(.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 a) 2)) (.f64 a (*.f64 b 2))) (cbrt.f64 (/.f64 (PI.f64) a)))
(.f64 (cbrt.f64 (/.f64 (PI.f64) a)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (*.f64 b (/.f64 a 1/2)) (pow.f64 (cbrt.f64 a) 2))))
(/.f64 (.f64 (/.f64 1/2 a) 1) (.f64 b (/.f64 a (PI.f64))))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(/.f64 (.f64 (neg.f64 (PI.f64)) -1/2) (.f64 (neg.f64 a) (*.f64 a (neg.f64 b))))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(/.f64 (.f64 (PI.f64) (/.f64 -1/2 a)) (.f64 a (neg.f64 b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(/.f64 (/.f64 (.f64 (PI.f64) -1/2) (.f64 a b)) (neg.f64 a))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(/.f64 (/.f64 -1/2 a) (*.f64 (/.f64 a (PI.f64)) (neg.f64 b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(pow.f64 (.f64 (/.f64 (/.f64 1/2 b) (.f64 a a)) (PI.f64)) 1)
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(pow.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 1/2 b) (.f64 a a)) (PI.f64))) 2)
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(pow.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 1/2 b) (.f64 a a)) (PI.f64))) 3)
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(pow.f64 (pow.f64 (.f64 (/.f64 (/.f64 1/2 b) (.f64 a a)) (PI.f64)) 3) 1/3)
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(neg.f64 (.f64 (/.f64 (PI.f64) (neg.f64 a)) (/.f64 1/2 (.f64 a b))))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(neg.f64 (.f64 (/.f64 1/2 (.f64 a b)) (/.f64 (PI.f64) (neg.f64 a))))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(neg.f64 (/.f64 (/.f64 (PI.f64) (neg.f64 a)) (.f64 (.f64 a b) 2)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(neg.f64 (/.f64 (PI.f64) (.f64 (.f64 (*.f64 a b) 2) (neg.f64 a))))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(neg.f64 (/.f64 (.f64 (PI.f64) (/.f64 1/2 a)) (.f64 a (neg.f64 b))))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(neg.f64 (/.f64 (.f64 (PI.f64) (/.f64 1/2 (.f64 a b))) (neg.f64 a)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(neg.f64 (/.f64 (.f64 (PI.f64) 1/2) (.f64 a (*.f64 a (neg.f64 b)))))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (/.f64 1/2 b) (.f64 a a)) (PI.f64)) 2))
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a)))) 2))
(fabs.f64 (.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a))))
(log.f64 (exp.f64 (.f64 (/.f64 (/.f64 1/2 b) (.f64 a a)) (PI.f64))))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (/.f64 1/2 b) (.f64 a a)) (PI.f64)))))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (/.f64 1/2 b) (.f64 a a)) (PI.f64)) 3))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) a) 3) (pow.f64 (/.f64 1/2 (.f64 a b)) 3)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1/2 (.f64 a b)) 3) (pow.f64 (/.f64 (PI.f64) a) 3)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (/.f64 1/2 b) (.f64 a a)) (PI.f64))))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(exp.f64 (log.f64 (.f64 (/.f64 (/.f64 1/2 b) (.f64 a a)) (PI.f64))))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (/.f64 1/2 b) (*.f64 a a)) (PI.f64))) 1))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (/.f64 1/2 b) (.f64 a a)) (PI.f64))))
(.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 a a))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.28%	(/.f64 (/.f64 1/2 b) (*.f64 b a))
✓	0.31%	(.f64 (/.f64 (/.f64 1/2 b) (.f64 b a)) (PI.f64))

Compiler

Compiled 28 to 14 computations (50% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	(/.f64 (/.f64 1/2 b) (*.f64 b a))
2.0ms	b	@	inf	(/.f64 (/.f64 1/2 b) (*.f64 b a))
1.0ms	a	@	inf	(/.f64 (/.f64 1/2 b) (*.f64 b a))
0.0ms	a	@	0	(/.f64 (/.f64 1/2 b) (*.f64 b a))
0.0ms	b	@	0	(/.f64 (/.f64 1/2 b) (*.f64 b a))

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1048×	`unswap-sqr`
890×	`swap-sqr`
752×	`associate-/l/`
526×	`associate-/r/`
420×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	236	46
2	3237	46

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

Inputs
(.f64 (/.f64 (/.f64 1/2 b) (.f64 b a)) (PI.f64))
(/.f64 (/.f64 1/2 b) (*.f64 b a))

Outputs

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b) 3) (pow.f64 (*.f64 b a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/2 (*.f64 a (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/2 (*.f64 a (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/2 (*.f64 a (*.f64 b b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/2 (*.f64 a (*.f64 b b)))))))))

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1698×	`unswap-sqr`
1126×	`associate-/l/`
818×	`associate-/r/`
584×	`distribute-rgt-in`
584×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	280	4194
1	776	4080
2	2844	4080

Stop Event

1×	node limit

Counts

158 → 149

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(/.f64 1/2 (*.f64 a (pow.f64 b 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a)))) 1)
(/.f64 1/2 (.f64 (/.f64 (.f64 b a) (PI.f64)) b))
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(/.f64 (PI.f64) (.f64 2 (.f64 a (*.f64 b b))))
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(/.f64 (.f64 (/.f64 1/2 b) (PI.f64)) (.f64 b a))
(/.f64 -1/2 (.f64 (/.f64 (.f64 b a) (PI.f64)) (neg.f64 b)))
(/.f64 (.f64 (PI.f64) 1/2) (.f64 a (*.f64 b b)))
(/.f64 (.f64 (PI.f64) (/.f64 1/2 (.f64 b b))) a)
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
(/.f64 (.f64 (/.f64 1/2 (.f64 b b)) (PI.f64)) a)
(/.f64 (.f64 -1/2 (PI.f64)) (.f64 b (*.f64 b (neg.f64 a))))
(/.f64 (/.f64 (PI.f64) (.f64 b (.f64 b 2))) a)
(/.f64 (/.f64 (*.f64 (/.f64 1/2 b) (PI.f64)) a) b)
(/.f64 (/.f64 (.f64 (/.f64 1/2 b) (PI.f64)) (sqrt.f64 (.f64 b a))) (sqrt.f64 (*.f64 b a)))
(/.f64 (/.f64 (.f64 (/.f64 1/2 b) (PI.f64)) (pow.f64 (cbrt.f64 (.f64 b a)) 2)) (cbrt.f64 (*.f64 b a)))
(/.f64 (/.f64 1/2 (sqrt.f64 b)) (.f64 (/.f64 (.f64 b a) (PI.f64)) (sqrt.f64 b)))
(/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 b) 2)) (.f64 (/.f64 (.f64 b a) (PI.f64)) (cbrt.f64 b)))
(/.f64 -1 (.f64 (/.f64 (.f64 b a) (PI.f64)) (*.f64 b -2)))
(/.f64 (.f64 (PI.f64) (/.f64 -1/2 b)) (.f64 b (neg.f64 a)))
(pow.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a)) 1)
(pow.f64 (sqrt.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a)) 3) 1/3)
(neg.f64 (.f64 (/.f64 1/2 (.f64 b (*.f64 b (neg.f64 a)))) (PI.f64)))
(neg.f64 (.f64 (PI.f64) (/.f64 1/2 (.f64 b (*.f64 b (neg.f64 a))))))
(neg.f64 (/.f64 (.f64 (/.f64 1/2 b) (PI.f64)) (.f64 b (neg.f64 a))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a)) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 1/2 (.f64 a (.f64 b b)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a)))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a)) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1/2 (.f64 a (*.f64 b b))) 3) (pow.f64 (PI.f64) 3)))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 1/2 (.f64 a (*.f64 b b))) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a))))
(exp.f64 (log.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 1/2 (*.f64 b b)) (/.f64 (PI.f64) a))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) 1)
(.f64 1/2 (.f64 (/.f64 1 b) (/.f64 (/.f64 1 a) b)))
(.f64 1/2 (/.f64 1 (.f64 a (*.f64 b b))))
(*.f64 (/.f64 1/2 b) (/.f64 (/.f64 1 a) b))
(.f64 (/.f64 1/2 (.f64 a (*.f64 b b))) 1)
(.f64 1 (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) (sqrt.f64 (/.f64 1/2 (.f64 a (*.f64 b b)))))
(.f64 (sqrt.f64 (/.f64 1/2 b)) (.f64 (sqrt.f64 (/.f64 1/2 b)) (/.f64 (/.f64 1 a) b)))
(.f64 (sqrt.f64 (/.f64 1/2 b)) (/.f64 (sqrt.f64 (/.f64 1/2 b)) (.f64 b a)))
(.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (*.f64 b b)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) 2) (cbrt.f64 (/.f64 1/2 (.f64 a (*.f64 b b)))))
(.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) (*.f64 (cbrt.f64 (/.f64 1/2 b)) (/.f64 (/.f64 1 a) b)))
(.f64 (/.f64 1/2 (.f64 b b)) (/.f64 1 a))
(.f64 (/.f64 1 b) (/.f64 1/2 (.f64 b a)))
(*.f64 (/.f64 (/.f64 1 a) b) (/.f64 1/2 b))
(.f64 (/.f64 -1/2 b) (/.f64 1 (.f64 b (neg.f64 a))))
(.f64 (/.f64 1 a) (/.f64 1/2 (.f64 b b)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 b a))) (/.f64 1/2 (.f64 (sqrt.f64 (.f64 b a)) b)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 b a)) 2)) (/.f64 (/.f64 1/2 b) (cbrt.f64 (*.f64 b a))))
(.f64 (/.f64 1/2 (.f64 b a)) (/.f64 1 b))
(.f64 (/.f64 1 (.f64 a (*.f64 b b))) 1/2)
(.f64 (/.f64 1 (.f64 b (neg.f64 a))) (/.f64 -1/2 b))
(.f64 (/.f64 1/2 a) (/.f64 1 (.f64 b b)))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 b a))) (/.f64 (/.f64 1 b) (sqrt.f64 (*.f64 b a))))
(.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (.f64 b a)) 2)) (/.f64 (/.f64 1 b) (cbrt.f64 (*.f64 b a))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) b) (/.f64 (sqrt.f64 (/.f64 1/2 b)) a))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a) (/.f64 (sqrt.f64 (/.f64 1/2 b)) b))
(.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) (.f64 b a)) (sqrt.f64 (/.f64 1/2 b)))
(.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) (pow.f64 (cbrt.f64 (.f64 b a)) 2)) (/.f64 (sqrt.f64 (/.f64 1/2 b)) (cbrt.f64 (*.f64 b a))))
(.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) b) (/.f64 (cbrt.f64 (/.f64 1/2 b)) a))
(.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) a) (/.f64 (cbrt.f64 (/.f64 1/2 b)) b))
(.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) 1) (/.f64 (cbrt.f64 (/.f64 1/2 b)) (*.f64 b a)))
(.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) (sqrt.f64 (.f64 b a))) (/.f64 (cbrt.f64 (/.f64 1/2 b)) (sqrt.f64 (.f64 b a))))
(.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) (pow.f64 (cbrt.f64 (.f64 b a)) 2)) (cbrt.f64 (/.f64 1/2 (.f64 a (*.f64 b b)))))
(.f64 (/.f64 1 (/.f64 (.f64 b a) 1/2)) (/.f64 1 b))
(.f64 (/.f64 1 (/.f64 (.f64 b a) (sqrt.f64 (/.f64 1/2 b)))) (sqrt.f64 (/.f64 1/2 b)))
(.f64 (/.f64 1 (/.f64 (.f64 b a) (cbrt.f64 (/.f64 1/4 (*.f64 b b))))) (cbrt.f64 (/.f64 1/2 b)))
(.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) (*.f64 b a)) (cbrt.f64 (/.f64 1/2 b)))
(*.f64 (/.f64 (/.f64 (/.f64 1 a) b) b) 1/2)
(*.f64 (/.f64 (/.f64 (/.f64 1 a) b) 1) (/.f64 1/2 b))
(*.f64 (/.f64 (/.f64 (/.f64 1 a) b) (sqrt.f64 b)) (/.f64 1/2 (sqrt.f64 b)))
(*.f64 (/.f64 (/.f64 (/.f64 1 a) b) (pow.f64 (cbrt.f64 b) 2)) (/.f64 1/2 (cbrt.f64 b)))
(*.f64 (/.f64 (/.f64 (/.f64 1 a) b) (neg.f64 b)) -1/2)
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (cbrt.f64 (/.f64 1/2 (.f64 a (*.f64 b b))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (cbrt.f64 (/.f64 1/2 (.f64 a (*.f64 b b))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (*.f64 b b)))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (*.f64 b b)))) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) (sqrt.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))))) (.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) (sqrt.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (*.f64 b b)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (*.f64 b b)))))))
(.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) b)) (sqrt.f64 (/.f64 1/2 b))) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) b)) (sqrt.f64 (/.f64 1/2 b))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) 3/2) (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (*.f64 b b)))) 3/2))
(.f64 (pow.f64 (pow.f64 (/.f64 1/2 (.f64 a (.f64 b b))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 1/2 (.f64 a (*.f64 b b))) 3) 1/6))
(.f64 (pow.f64 (.f64 2 (.f64 a (.f64 b b))) -1/2) (pow.f64 (.f64 2 (.f64 a (*.f64 b b))) -1/2))
(pow.f64 (/.f64 1/2 (.f64 a (.f64 b b))) 1)
(pow.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) 3)
(pow.f64 (pow.f64 (/.f64 1/2 (.f64 a (.f64 b b))) 3) 1/3)
(pow.f64 (.f64 2 (.f64 a (*.f64 b b))) -1)
(neg.f64 (/.f64 1/2 (.f64 b (.f64 b (neg.f64 a)))))
(neg.f64 (.f64 (/.f64 1/2 (.f64 b (*.f64 b (neg.f64 a)))) 1))
(neg.f64 (.f64 (/.f64 1/2 b) (/.f64 1 (.f64 b (neg.f64 a)))))
(neg.f64 (.f64 1 (/.f64 1/2 (.f64 b (*.f64 b (neg.f64 a))))))
(neg.f64 (/.f64 (/.f64 1/2 (*.f64 b b)) (neg.f64 a)))
(neg.f64 (/.f64 (/.f64 -1/2 b) (*.f64 b a)))
(sqrt.f64 (pow.f64 (/.f64 1/2 (.f64 a (.f64 b b))) 2))
(log.f64 (exp.f64 (/.f64 1/2 (.f64 a (.f64 b b)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (.f64 a (.f64 b b))))))
(cbrt.f64 (pow.f64 (/.f64 1/2 (.f64 a (.f64 b b))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1/2 b) 3) (pow.f64 (*.f64 b a) 3)))
(expm1.f64 (log1p.f64 (/.f64 1/2 (.f64 a (.f64 b b)))))
(exp.f64 (log.f64 (/.f64 1/2 (.f64 a (.f64 b b)))))
(exp.f64 (.f64 (log.f64 (/.f64 1/2 (.f64 a (*.f64 b b)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/2 (.f64 a (.f64 b b)))))

Outputs
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(/.f64 (/.f64 1/2 b) (/.f64 (*.f64 a b) (PI.f64)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(/.f64 (/.f64 1/2 b) (/.f64 (*.f64 a b) (PI.f64)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(/.f64 (/.f64 1/2 b) (/.f64 (*.f64 a b) (PI.f64)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(/.f64 (/.f64 1/2 b) (/.f64 (*.f64 a b) (PI.f64)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(/.f64 (/.f64 1/2 b) (/.f64 (*.f64 a b) (PI.f64)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(/.f64 (/.f64 1/2 b) (/.f64 (*.f64 a b) (PI.f64)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(/.f64 (/.f64 1/2 b) (/.f64 (*.f64 a b) (PI.f64)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(/.f64 (/.f64 1/2 b) (/.f64 (*.f64 a b) (PI.f64)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(/.f64 (/.f64 1/2 b) (/.f64 (*.f64 a b) (PI.f64)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(/.f64 (/.f64 1/2 b) (/.f64 (*.f64 a b) (PI.f64)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(/.f64 (/.f64 1/2 b) (/.f64 (*.f64 a b) (PI.f64)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(/.f64 (/.f64 1/2 b) (/.f64 (*.f64 a b) (PI.f64)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(/.f64 (/.f64 1/2 b) (/.f64 (*.f64 a b) (PI.f64)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(/.f64 (/.f64 1/2 b) (/.f64 (*.f64 a b) (PI.f64)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(/.f64 (/.f64 1/2 b) (/.f64 (*.f64 a b) (PI.f64)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(/.f64 (/.f64 1/2 b) (/.f64 (*.f64 a b) (PI.f64)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(/.f64 (/.f64 1/2 b) (/.f64 (*.f64 a b) (PI.f64)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(/.f64 (/.f64 1/2 b) (/.f64 (*.f64 a b) (PI.f64)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(/.f64 (/.f64 1/2 b) (/.f64 (*.f64 a b) (PI.f64)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(/.f64 (/.f64 1/2 b) (/.f64 (*.f64 a b) (PI.f64)))
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(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(/.f64 (/.f64 1/2 b) (/.f64 (*.f64 a b) (PI.f64)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(/.f64 (/.f64 1/2 b) (/.f64 (*.f64 a b) (PI.f64)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(/.f64 (/.f64 1/2 b) (/.f64 (*.f64 a b) (PI.f64)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
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(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 b a)) 2)) (/.f64 (/.f64 1/2 b) (cbrt.f64 (*.f64 b a))))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(.f64 (/.f64 1/2 (.f64 b a)) (/.f64 1 b))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(.f64 (/.f64 1 (.f64 a (*.f64 b b))) 1/2)
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(.f64 (/.f64 1 (.f64 b (neg.f64 a))) (/.f64 -1/2 b))
(.f64 (/.f64 -1/2 b) (/.f64 1 (.f64 b (neg.f64 a))))
(/.f64 (/.f64 -1/2 b) (*.f64 a (neg.f64 b)))
(/.f64 (/.f64 -1/2 b) (*.f64 b (neg.f64 a)))
(.f64 (/.f64 1/2 a) (/.f64 1 (.f64 b b)))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 b a))) (/.f64 (/.f64 1 b) (sqrt.f64 (*.f64 b a))))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (.f64 b a)) 2)) (/.f64 (/.f64 1 b) (cbrt.f64 (*.f64 b a))))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) b) (/.f64 (sqrt.f64 (/.f64 1/2 b)) a))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a) (/.f64 (sqrt.f64 (/.f64 1/2 b)) b))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) (.f64 b a)) (sqrt.f64 (/.f64 1/2 b)))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) (pow.f64 (cbrt.f64 (.f64 b a)) 2)) (/.f64 (sqrt.f64 (/.f64 1/2 b)) (cbrt.f64 (*.f64 b a))))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) b) (/.f64 (cbrt.f64 (/.f64 1/2 b)) a))
(.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) (*.f64 (/.f64 (/.f64 1 a) b) (cbrt.f64 (/.f64 1/2 b))))
(.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) (/.f64 (cbrt.f64 (/.f64 1/2 b)) (*.f64 a b)))
(.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) a) (/.f64 (cbrt.f64 (/.f64 1/2 b)) b))
(.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) (*.f64 (/.f64 (/.f64 1 a) b) (cbrt.f64 (/.f64 1/2 b))))
(.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) (/.f64 (cbrt.f64 (/.f64 1/2 b)) (*.f64 a b)))
(.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) 1) (/.f64 (cbrt.f64 (/.f64 1/2 b)) (*.f64 b a)))
(.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) (*.f64 (/.f64 (/.f64 1 a) b) (cbrt.f64 (/.f64 1/2 b))))
(.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) (/.f64 (cbrt.f64 (/.f64 1/2 b)) (*.f64 a b)))
(.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) (sqrt.f64 (.f64 b a))) (/.f64 (cbrt.f64 (/.f64 1/2 b)) (sqrt.f64 (.f64 b a))))
(.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) (*.f64 (/.f64 (/.f64 1 a) b) (cbrt.f64 (/.f64 1/2 b))))
(.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) (/.f64 (cbrt.f64 (/.f64 1/2 b)) (*.f64 a b)))
(.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) (pow.f64 (cbrt.f64 (.f64 b a)) 2)) (cbrt.f64 (/.f64 1/2 (.f64 a (*.f64 b b)))))
(.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) (/.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(.f64 (cbrt.f64 (/.f64 (/.f64 1/2 b) (.f64 a b))) (/.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) (pow.f64 (cbrt.f64 (.f64 a b)) 2)))
(/.f64 (.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) (cbrt.f64 (/.f64 1/4 (.f64 b b)))) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))
(.f64 (/.f64 1 (/.f64 (.f64 b a) 1/2)) (/.f64 1 b))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(.f64 (/.f64 1 (/.f64 (.f64 b a) (sqrt.f64 (/.f64 1/2 b)))) (sqrt.f64 (/.f64 1/2 b)))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(.f64 (/.f64 1 (/.f64 (.f64 b a) (cbrt.f64 (/.f64 1/4 (*.f64 b b))))) (cbrt.f64 (/.f64 1/2 b)))
(.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) (*.f64 (/.f64 (/.f64 1 a) b) (cbrt.f64 (/.f64 1/2 b))))
(.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) (/.f64 (cbrt.f64 (/.f64 1/2 b)) (*.f64 a b)))
(.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) (*.f64 b a)) (cbrt.f64 (/.f64 1/2 b)))
(.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) (*.f64 (/.f64 (/.f64 1 a) b) (cbrt.f64 (/.f64 1/2 b))))
(.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) (/.f64 (cbrt.f64 (/.f64 1/2 b)) (*.f64 a b)))
(*.f64 (/.f64 (/.f64 (/.f64 1 a) b) b) 1/2)
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(*.f64 (/.f64 (/.f64 (/.f64 1 a) b) 1) (/.f64 1/2 b))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(*.f64 (/.f64 (/.f64 (/.f64 1 a) b) (sqrt.f64 b)) (/.f64 1/2 (sqrt.f64 b)))
(.f64 (/.f64 1/2 (sqrt.f64 b)) (/.f64 (/.f64 1 a) (.f64 (sqrt.f64 b) b)))
(/.f64 (/.f64 (/.f64 1/2 a) (*.f64 b (sqrt.f64 b))) (sqrt.f64 b))
(/.f64 (/.f64 1/2 a) (.f64 (sqrt.f64 b) (.f64 b (sqrt.f64 b))))
(*.f64 (/.f64 (/.f64 (/.f64 1 a) b) (pow.f64 (cbrt.f64 b) 2)) (/.f64 1/2 (cbrt.f64 b)))
(/.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2))
(/.f64 (/.f64 1/2 (.f64 a (.f64 b (cbrt.f64 b)))) (pow.f64 (cbrt.f64 b) 2))
(*.f64 (/.f64 (/.f64 (/.f64 1 a) b) (neg.f64 b)) -1/2)
(.f64 (/.f64 -1/2 b) (/.f64 1 (.f64 b (neg.f64 a))))
(/.f64 (/.f64 -1/2 b) (*.f64 a (neg.f64 b)))
(/.f64 (/.f64 -1/2 b) (*.f64 b (neg.f64 a)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (cbrt.f64 (/.f64 1/2 (.f64 a (*.f64 b b))))))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (cbrt.f64 (/.f64 1/2 (.f64 a (*.f64 b b))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (cbrt.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))))) (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) 2))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 1/2 b) (.f64 a b)))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 1/2 b) (.f64 a b)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1/2 b) (*.f64 a b))) 2)))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) 2)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (*.f64 b b)))) 2))))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (*.f64 b b)))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (cbrt.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))))) (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) 2))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 1/2 b) (.f64 a b)))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 1/2 b) (.f64 a b)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1/2 b) (*.f64 a b))) 2)))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) 2)))
(.f64 (.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) (sqrt.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))))) (.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) (sqrt.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (*.f64 b b)))))))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (*.f64 b b)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (cbrt.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))))) (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) 2))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 1/2 b) (.f64 a b)))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 1/2 b) (.f64 a b)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1/2 b) (*.f64 a b))) 2)))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (.f64 b b))))) (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) 2)))
(.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) b)) (sqrt.f64 (/.f64 1/2 b))) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) b)) (sqrt.f64 (/.f64 1/2 b))))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) 3/2) (pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (*.f64 b b)))) 3/2))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(.f64 (pow.f64 (pow.f64 (/.f64 1/2 (.f64 a (.f64 b b))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 1/2 (.f64 a (*.f64 b b))) 3) 1/6))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(.f64 (pow.f64 (.f64 2 (.f64 a (.f64 b b))) -1/2) (pow.f64 (.f64 2 (.f64 a (*.f64 b b))) -1/2))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(pow.f64 (/.f64 1/2 (.f64 a (.f64 b b))) 1)
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(pow.f64 (sqrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) 2)
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(pow.f64 (cbrt.f64 (/.f64 1/2 (.f64 a (.f64 b b)))) 3)
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(pow.f64 (pow.f64 (/.f64 1/2 (.f64 a (.f64 b b))) 3) 1/3)
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(pow.f64 (.f64 2 (.f64 a (*.f64 b b))) -1)
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(neg.f64 (/.f64 1/2 (.f64 b (.f64 b (neg.f64 a)))))
(.f64 (/.f64 -1/2 b) (/.f64 1 (.f64 b (neg.f64 a))))
(/.f64 (/.f64 -1/2 b) (*.f64 a (neg.f64 b)))
(/.f64 (/.f64 -1/2 b) (*.f64 b (neg.f64 a)))
(neg.f64 (.f64 (/.f64 1/2 (.f64 b (*.f64 b (neg.f64 a)))) 1))
(.f64 (/.f64 -1/2 b) (/.f64 1 (.f64 b (neg.f64 a))))
(/.f64 (/.f64 -1/2 b) (*.f64 a (neg.f64 b)))
(/.f64 (/.f64 -1/2 b) (*.f64 b (neg.f64 a)))
(neg.f64 (.f64 (/.f64 1/2 b) (/.f64 1 (.f64 b (neg.f64 a)))))
(.f64 (/.f64 -1/2 b) (/.f64 1 (.f64 b (neg.f64 a))))
(/.f64 (/.f64 -1/2 b) (*.f64 a (neg.f64 b)))
(/.f64 (/.f64 -1/2 b) (*.f64 b (neg.f64 a)))
(neg.f64 (.f64 1 (/.f64 1/2 (.f64 b (*.f64 b (neg.f64 a))))))
(.f64 (/.f64 -1/2 b) (/.f64 1 (.f64 b (neg.f64 a))))
(/.f64 (/.f64 -1/2 b) (*.f64 a (neg.f64 b)))
(/.f64 (/.f64 -1/2 b) (*.f64 b (neg.f64 a)))
(neg.f64 (/.f64 (/.f64 1/2 (*.f64 b b)) (neg.f64 a)))
(.f64 (/.f64 -1/2 b) (/.f64 1 (.f64 b (neg.f64 a))))
(/.f64 (/.f64 -1/2 b) (*.f64 a (neg.f64 b)))
(/.f64 (/.f64 -1/2 b) (*.f64 b (neg.f64 a)))
(neg.f64 (/.f64 (/.f64 -1/2 b) (*.f64 b a)))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(sqrt.f64 (pow.f64 (/.f64 1/2 (.f64 a (.f64 b b))) 2))
(fabs.f64 (/.f64 (/.f64 1/2 b) (*.f64 a b)))
(fabs.f64 (/.f64 1/2 (.f64 a (.f64 b b))))
(log.f64 (exp.f64 (/.f64 1/2 (.f64 a (.f64 b b)))))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (.f64 a (.f64 b b))))))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(cbrt.f64 (pow.f64 (/.f64 1/2 (.f64 a (.f64 b b))) 3))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1/2 b) 3) (pow.f64 (*.f64 b a) 3)))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(expm1.f64 (log1p.f64 (/.f64 1/2 (.f64 a (.f64 b b)))))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(exp.f64 (log.f64 (/.f64 1/2 (.f64 a (.f64 b b)))))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(exp.f64 (.f64 (log.f64 (/.f64 1/2 (.f64 a (*.f64 b b)))) 1))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))
(log1p.f64 (expm1.f64 (/.f64 1/2 (.f64 a (.f64 b b)))))
(/.f64 1/2 (.f64 a (.f64 b b)))
(/.f64 (/.f64 1/2 b) (*.f64 a b))

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.17%	(/.f64 b (/.f64 (PI.f64) b))
✓	0.42%	(/.f64 (PI.f64) b)
✓	0.7%	(/.f64 1/2 (*.f64 (/.f64 b (/.f64 (PI.f64) b)) a))
✓	13.08%	(*.f64 (/.f64 b (/.f64 (PI.f64) b)) a)

Compiler

Compiled 30 to 9 computations (70% saved)

series2.0ms (0%)

Counts

4 → 60

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	b	@	inf	(/.f64 b (/.f64 (PI.f64) b))
0.0ms	b	@	0	(/.f64 b (/.f64 (PI.f64) b))
0.0ms	b	@	0	(/.f64 (PI.f64) b)
0.0ms	b	@	-inf	(/.f64 (PI.f64) b)
0.0ms	b	@	0	(*.f64 (/.f64 b (/.f64 (PI.f64) b)) a)

rewrite106.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1296×	`associate-/r/`
936×	`unswap-sqr`
870×	`swap-sqr`
576×	`associate-/l/`
474×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	72
1	240	72
2	3281	72

Stop Event

1×	node limit

Counts

4 → 225

Calls

Call 1

Inputs
(*.f64 (/.f64 b (/.f64 (PI.f64) b)) a)
(/.f64 1/2 (*.f64 (/.f64 b (/.f64 (PI.f64) b)) a))
(/.f64 (PI.f64) b)
(/.f64 b (/.f64 (PI.f64) b))

Outputs
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#<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 b (/.f64 b (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 b (/.f64 b (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 b (/.f64 b (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 b (/.f64 b (PI.f64)))))))))

simplify114.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

856×	`associate-r`
810×	`distribute-lft-neg-in`
772×	`*-commutative`
754×	`distribute-frac-neg`
726×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	511	6445
1	1439	6391
2	6177	6391

Stop Event

1×	node limit

Counts

285 → 269

Calls

Call 1

Inputs
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) b))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) b) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 b 3)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) b)))
(exp.f64 (log.f64 (/.f64 (PI.f64) b)))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) b)) 1))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) b)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 b (/.f64 b (PI.f64))))) 1)
(*.f64 b (/.f64 b (PI.f64)))
(.f64 (.f64 b (/.f64 b (PI.f64))) 1)
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(*.f64 (/.f64 b (PI.f64)) b)
(*.f64 (/.f64 b (PI.f64)) (/.f64 b 1))
(*.f64 (neg.f64 b) (/.f64 (neg.f64 b) (PI.f64)))
(.f64 (.f64 (/.f64 b (PI.f64)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(.f64 (/.f64 1 (PI.f64)) (.f64 b b))
(.f64 (/.f64 1 (PI.f64)) (.f64 (/.f64 b 1) b))
(.f64 (.f64 1 (sqrt.f64 (/.f64 b (PI.f64)))) (/.f64 b (sqrt.f64 (/.f64 (PI.f64) b))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2)) (/.f64 b (cbrt.f64 (/.f64 (PI.f64) b))))
(*.f64 (/.f64 b 1) (/.f64 b (PI.f64)))
(*.f64 (/.f64 b (sqrt.f64 (PI.f64))) (/.f64 b (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 b (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 b (cbrt.f64 (PI.f64))))
(.f64 (/.f64 1 (neg.f64 (PI.f64))) (.f64 b (neg.f64 b)))
(.f64 (/.f64 (sqrt.f64 b) 1) (.f64 (/.f64 b (PI.f64)) (sqrt.f64 b)))
(*.f64 (/.f64 (sqrt.f64 b) (PI.f64)) (/.f64 (sqrt.f64 b) (/.f64 1 b)))
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(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (/.f64 (PI.f64) b))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (/.f64 (PI.f64) b))) (/.f64 (cbrt.f64 b) (sqrt.f64 (/.f64 (PI.f64) b))))
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(*.f64 (/.f64 (neg.f64 b) (PI.f64)) (neg.f64 b))
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(*.f64 (/.f64 b (/.f64 (PI.f64) (pow.f64 (cbrt.f64 b) 2))) (cbrt.f64 b))
(*.f64 (/.f64 b -1) (/.f64 (neg.f64 b) (PI.f64)))
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(.f64 (/.f64 1 (/.f64 (PI.f64) (.f64 (pow.f64 (cbrt.f64 b) 2) b))) (cbrt.f64 b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (PI.f64) b)) (cbrt.f64 b))
(*.f64 (/.f64 (/.f64 b (PI.f64)) (/.f64 1 (sqrt.f64 b))) (sqrt.f64 b))
(*.f64 (/.f64 (/.f64 b (PI.f64)) (/.f64 1 (pow.f64 (cbrt.f64 b) 2))) (cbrt.f64 b))
(*.f64 (/.f64 (/.f64 b (PI.f64)) -1) (neg.f64 b))
(*.f64 (/.f64 (neg.f64 b) -1) (/.f64 b (PI.f64)))
(*.f64 (/.f64 (/.f64 b 1) 1) (/.f64 b (PI.f64)))
(*.f64 (/.f64 (/.f64 b 1) (sqrt.f64 (PI.f64))) (/.f64 b (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 b 1) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 b (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 b 1) (neg.f64 (PI.f64))) (neg.f64 b))
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(*.f64 (/.f64 (/.f64 b 1) (/.f64 (PI.f64) (sqrt.f64 b))) (sqrt.f64 b))
(*.f64 (/.f64 (/.f64 b 1) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 b) 2))) (cbrt.f64 b))
(*.f64 (/.f64 (/.f64 b 1) -1) (/.f64 (neg.f64 b) (PI.f64)))
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(*.f64 (/.f64 (/.f64 b (sqrt.f64 (/.f64 (PI.f64) b))) (sqrt.f64 (PI.f64))) (sqrt.f64 b))
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(.f64 (.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) (sqrt.f64 (PI.f64)))))
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(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 b (/.f64 b (PI.f64))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 b (/.f64 b (PI.f64)))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 b (/.f64 b (PI.f64))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 b (/.f64 b (PI.f64)))) 2))))
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(pow.f64 (*.f64 b (/.f64 b (PI.f64))) 1)
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(pow.f64 (pow.f64 (*.f64 b (/.f64 b (PI.f64))) 3) 1/3)
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(cbrt.f64 (pow.f64 (*.f64 b (/.f64 b (PI.f64))) 3))
(cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (/.f64 (PI.f64) b) 3)))
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(exp.f64 (.f64 (log.f64 (.f64 b (/.f64 b (PI.f64)))) 1))
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Outputs
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
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(*.f64 a (/.f64 b (/.f64 (PI.f64) b)))
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(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
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(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(*.f64 a (/.f64 b (/.f64 (PI.f64) b)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(*.f64 a (/.f64 b (/.f64 (PI.f64) b)))
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(*.f64 a (/.f64 b (/.f64 (PI.f64) b)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
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(*.f64 a (/.f64 b (/.f64 (PI.f64) b)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
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(*.f64 (/.f64 b (sqrt.f64 (/.f64 (PI.f64) b))) (sqrt.f64 (/.f64 b (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2)) (/.f64 b (cbrt.f64 (/.f64 (PI.f64) b))))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(*.f64 (/.f64 b 1) (/.f64 b (PI.f64)))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(*.f64 (/.f64 b (sqrt.f64 (PI.f64))) (/.f64 b (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(*.f64 (/.f64 b (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 b (cbrt.f64 (PI.f64))))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(.f64 (/.f64 1 (neg.f64 (PI.f64))) (.f64 b (neg.f64 b)))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(.f64 (/.f64 (sqrt.f64 b) 1) (.f64 (/.f64 b (PI.f64)) (sqrt.f64 b)))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(*.f64 (/.f64 (sqrt.f64 b) (PI.f64)) (/.f64 (sqrt.f64 b) (/.f64 1 b)))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (.f64 (/.f64 (cbrt.f64 b) (PI.f64)) b))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(.f64 (.f64 (/.f64 b (PI.f64)) (sqrt.f64 b)) (sqrt.f64 b))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (/.f64 (PI.f64) b))))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (PI.f64)) (.f64 (/.f64 (cbrt.f64 b) 1) b))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (/.f64 (PI.f64) b))) (/.f64 (cbrt.f64 b) (sqrt.f64 (/.f64 (PI.f64) b))))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2)) (cbrt.f64 (.f64 b (/.f64 b (PI.f64)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (/.f64 (.f64 b b) (PI.f64)))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (/.f64 b (/.f64 (PI.f64) b)))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2))
(*.f64 (/.f64 (neg.f64 b) (PI.f64)) (neg.f64 b))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(*.f64 (/.f64 b (/.f64 (PI.f64) 1)) b)
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(*.f64 (/.f64 b (/.f64 (PI.f64) (sqrt.f64 b))) (sqrt.f64 b))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(*.f64 (/.f64 b (/.f64 (PI.f64) (pow.f64 (cbrt.f64 b) 2))) (cbrt.f64 b))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(*.f64 (/.f64 b -1) (/.f64 (neg.f64 b) (PI.f64)))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(.f64 (/.f64 1 (/.f64 (PI.f64) (.f64 (sqrt.f64 b) b))) (sqrt.f64 b))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(.f64 (/.f64 1 (/.f64 (PI.f64) (.f64 (pow.f64 (cbrt.f64 b) 2) b))) (cbrt.f64 b))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (PI.f64) b)) (cbrt.f64 b))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(*.f64 (/.f64 (/.f64 b (PI.f64)) (/.f64 1 (sqrt.f64 b))) (sqrt.f64 b))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(*.f64 (/.f64 (/.f64 b (PI.f64)) (/.f64 1 (pow.f64 (cbrt.f64 b) 2))) (cbrt.f64 b))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(*.f64 (/.f64 (/.f64 b (PI.f64)) -1) (neg.f64 b))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(*.f64 (/.f64 (neg.f64 b) -1) (/.f64 b (PI.f64)))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(*.f64 (/.f64 (/.f64 b 1) 1) (/.f64 b (PI.f64)))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(*.f64 (/.f64 (/.f64 b 1) (sqrt.f64 (PI.f64))) (/.f64 b (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(*.f64 (/.f64 (/.f64 b 1) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 b (cbrt.f64 (PI.f64))))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(*.f64 (/.f64 (/.f64 b 1) (neg.f64 (PI.f64))) (neg.f64 b))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(*.f64 (/.f64 (/.f64 b 1) (/.f64 (PI.f64) 1)) b)
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(*.f64 (/.f64 (/.f64 b 1) (/.f64 (PI.f64) (sqrt.f64 b))) (sqrt.f64 b))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(*.f64 (/.f64 (/.f64 b 1) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 b) 2))) (cbrt.f64 b))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(*.f64 (/.f64 (/.f64 b 1) -1) (/.f64 (neg.f64 b) (PI.f64)))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(*.f64 (/.f64 (/.f64 b (sqrt.f64 (/.f64 (PI.f64) b))) 1) (sqrt.f64 (/.f64 b (PI.f64))))
(*.f64 (/.f64 b (sqrt.f64 (/.f64 (PI.f64) b))) (sqrt.f64 (/.f64 b (PI.f64))))
(*.f64 (/.f64 (/.f64 b (sqrt.f64 (/.f64 (PI.f64) b))) (sqrt.f64 (PI.f64))) (sqrt.f64 b))
(/.f64 (*.f64 (/.f64 b (sqrt.f64 (/.f64 (PI.f64) b))) (sqrt.f64 b)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 b) (/.f64 (/.f64 b (sqrt.f64 (/.f64 (PI.f64) b))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 b (sqrt.f64 (/.f64 (PI.f64) b))) (sqrt.f64 (neg.f64 (PI.f64)))) (sqrt.f64 (neg.f64 b)))
(*.f64 (/.f64 (/.f64 b (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2)) 1) (cbrt.f64 (/.f64 b (PI.f64))))
(*.f64 (/.f64 b (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2)) (cbrt.f64 (/.f64 b (PI.f64))))
(*.f64 (/.f64 (/.f64 b (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2)) (cbrt.f64 (PI.f64))) (cbrt.f64 b))
(.f64 (cbrt.f64 b) (/.f64 b (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2))))
(*.f64 (cbrt.f64 b) (/.f64 (/.f64 b (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 b (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2)) (cbrt.f64 (neg.f64 (PI.f64)))) (cbrt.f64 (neg.f64 b)))
(.f64 (/.f64 b (.f64 (cbrt.f64 (neg.f64 (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2))) (cbrt.f64 (neg.f64 b)))
(.f64 (.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 b (/.f64 b (PI.f64))))) (cbrt.f64 (.f64 b (/.f64 b (PI.f64))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 b (/.f64 b (PI.f64))))) (cbrt.f64 (*.f64 b (/.f64 b (PI.f64))))))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 b (/.f64 b (PI.f64))))) (cbrt.f64 (.f64 b (/.f64 b (PI.f64))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 b (/.f64 b (PI.f64))))) (cbrt.f64 (*.f64 b (/.f64 b (PI.f64))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (.f64 b b) (PI.f64)))) (cbrt.f64 (sqrt.f64 (/.f64 (.f64 b b) (PI.f64))))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 b b) (PI.f64))) 2))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 b (/.f64 (PI.f64) b)))) (cbrt.f64 (sqrt.f64 (/.f64 b (/.f64 (PI.f64) b))))) (pow.f64 (cbrt.f64 (/.f64 b (/.f64 (PI.f64) b))) 2))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 b (/.f64 b (PI.f64))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 b (/.f64 b (PI.f64)))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 b (/.f64 b (PI.f64))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 b (/.f64 b (PI.f64)))) 2))))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 b (/.f64 b (PI.f64))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 b (/.f64 b (PI.f64)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 b (/.f64 b (PI.f64))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 b (/.f64 b (PI.f64)))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (.f64 b b) (PI.f64)))) (cbrt.f64 (sqrt.f64 (/.f64 (.f64 b b) (PI.f64))))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 b b) (PI.f64))) 2))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 b (/.f64 (PI.f64) b)))) (cbrt.f64 (sqrt.f64 (/.f64 b (/.f64 (PI.f64) b))))) (pow.f64 (cbrt.f64 (/.f64 b (/.f64 (PI.f64) b))) 2))
(.f64 (.f64 (cbrt.f64 (.f64 b (/.f64 b (PI.f64)))) (sqrt.f64 (cbrt.f64 (.f64 b (/.f64 b (PI.f64)))))) (.f64 (cbrt.f64 (.f64 b (/.f64 b (PI.f64)))) (sqrt.f64 (cbrt.f64 (*.f64 b (/.f64 b (PI.f64)))))))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 b (/.f64 b (PI.f64)))) 2)) (cbrt.f64 (sqrt.f64 (.f64 b (/.f64 b (PI.f64)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 b (/.f64 b (PI.f64)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 b (/.f64 b (PI.f64)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (.f64 b b) (PI.f64)))) (cbrt.f64 (sqrt.f64 (/.f64 (.f64 b b) (PI.f64))))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 b b) (PI.f64))) 2))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 b (/.f64 (PI.f64) b)))) (cbrt.f64 (sqrt.f64 (/.f64 b (/.f64 (PI.f64) b))))) (pow.f64 (cbrt.f64 (/.f64 b (/.f64 (PI.f64) b))) 2))
(pow.f64 (*.f64 b (/.f64 b (PI.f64))) 1)
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(pow.f64 (sqrt.f64 (*.f64 b (/.f64 b (PI.f64)))) 2)
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(pow.f64 (cbrt.f64 (*.f64 b (/.f64 b (PI.f64)))) 3)
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(pow.f64 (pow.f64 (*.f64 b (/.f64 b (PI.f64))) 3) 1/3)
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(pow.f64 (/.f64 (PI.f64) (*.f64 b b)) -1)
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(neg.f64 (*.f64 b (/.f64 (neg.f64 b) (PI.f64))))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(sqrt.f64 (pow.f64 (*.f64 b (/.f64 b (PI.f64))) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 b b) (PI.f64)) 2))
(fabs.f64 (/.f64 b (/.f64 (PI.f64) b)))
(log.f64 (pow.f64 (exp.f64 b) (/.f64 b (PI.f64))))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (/.f64 b (PI.f64))))))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(cbrt.f64 (pow.f64 (*.f64 b (/.f64 b (PI.f64))) 3))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (/.f64 (PI.f64) b) 3)))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(expm1.f64 (log1p.f64 (*.f64 b (/.f64 b (PI.f64)))))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(exp.f64 (log.f64 (*.f64 b (/.f64 b (PI.f64)))))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(exp.f64 (.f64 (log.f64 (.f64 b (/.f64 b (PI.f64)))) 1))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))
(log1p.f64 (expm1.f64 (*.f64 b (/.f64 b (PI.f64)))))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 b (/.f64 (PI.f64) b))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.28%	(/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 b a))
	0.42%	(/.f64 (PI.f64) b)

Compiler

Compiled 26 to 11 computations (57.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 b a))
0.0ms	b	@	-inf	(/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 b a))
0.0ms	b	@	inf	(/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 b a))
0.0ms	a	@	-inf	(/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 b a))
0.0ms	a	@	inf	(/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 b a))

rewrite78.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1006×	`swap-sqr`
978×	`unswap-sqr`
932×	`associate-/l/`
866×	`associate-/r/`
518×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	238	27
2	3431	27

Stop Event

1×	node limit

Counts

1 → 83

Calls

Call 1

Inputs
(/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 b a))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)))))))))

simplify96.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1596×	`associate-+l+`
1552×	`associate-/r*`
1020×	`*-commutative`
852×	`associate-/r/`
836×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	233	3827
1	685	3709
2	2358	3709
3	7245	3709

Stop Event

1×	node limit

Counts

107 → 104

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b))))) 1)
(.f64 1/2 (.f64 (/.f64 (PI.f64) b) (/.f64 1 (*.f64 b a))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)))
(.f64 (/.f64 (PI.f64) b) (.f64 1/2 (/.f64 1 (*.f64 b a))))
(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 b a)))
(.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (/.f64 1 (*.f64 b a)))
(.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b))) 1)
(.f64 1 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b))))
(.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b)))) (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)))))
(.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) (.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) (/.f64 1 (*.f64 b a))))
(.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) (.f64 b a)))
(.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b)))) (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b)))) 2) (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (/.f64 (PI.f64) b) 2))) (.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) (/.f64 1 (*.f64 b a))))
(.f64 (.f64 (/.f64 (PI.f64) b) (/.f64 1/2 b)) (/.f64 1 a))
(.f64 (/.f64 1 (.f64 b a)) (*.f64 1/2 (/.f64 (PI.f64) b)))
(.f64 (/.f64 1 b) (/.f64 1/2 (.f64 a (/.f64 b (PI.f64)))))
(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 b a)))
(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 b))
(.f64 (.f64 (/.f64 (PI.f64) b) -1/2) (/.f64 1 (*.f64 b (neg.f64 a))))
(.f64 (/.f64 1 a) (.f64 (/.f64 (PI.f64) b) (/.f64 1/2 b)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 b a))) (/.f64 1/2 (.f64 (sqrt.f64 (.f64 b a)) (/.f64 b (PI.f64)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 b a)) 2)) (/.f64 1/2 (.f64 (cbrt.f64 (.f64 b a)) (/.f64 b (PI.f64)))))
(.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))
(.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)) 1/2)
(.f64 (/.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 b a)) b)) (/.f64 1/2 (sqrt.f64 (.f64 b a))))
(.f64 (/.f64 1/2 (.f64 b a)) (/.f64 (PI.f64) b))
(.f64 (/.f64 1 (.f64 b (neg.f64 a))) (*.f64 (/.f64 (PI.f64) b) -1/2))
(.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (.f64 b b)))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 b a))) (/.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 b a)) b)))
(.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (.f64 b a)) 2)) (/.f64 (PI.f64) (.f64 (cbrt.f64 (.f64 b a)) b)))
(.f64 (/.f64 (PI.f64) (.f64 (pow.f64 (cbrt.f64 (.f64 b a)) 2) b)) (/.f64 1/2 (cbrt.f64 (.f64 b a))))
(.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) b) (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) b))) a))
(.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) a) (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) b))) b))
(.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) (.f64 b a)) (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))))
(.f64 (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) (pow.f64 (cbrt.f64 (.f64 b a)) 2)) (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) (cbrt.f64 (*.f64 b a))))
(.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (/.f64 (PI.f64) b) 2))) b) (/.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (PI.f64) b))) a))
(.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (/.f64 (PI.f64) b) 2))) a) (/.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (PI.f64) b))) b))
(.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (/.f64 (PI.f64) b) 2))) 1) (/.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) (.f64 b a)))
(.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (/.f64 (PI.f64) b) 2))) (sqrt.f64 (.f64 b a))) (/.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) (sqrt.f64 (*.f64 b a))))
(.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (/.f64 (PI.f64) b) 2))) (pow.f64 (cbrt.f64 (.f64 b a)) 2)) (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b)))))
(.f64 (/.f64 1/2 (.f64 b (neg.f64 a))) (/.f64 (PI.f64) (neg.f64 b)))
(.f64 (/.f64 1/2 (/.f64 (.f64 b a) 1)) (/.f64 (PI.f64) b))
(.f64 (/.f64 1/2 (/.f64 (.f64 b a) (PI.f64))) (/.f64 1 b))
(.f64 (/.f64 1/2 (/.f64 (.f64 b a) (sqrt.f64 (/.f64 (PI.f64) b)))) (sqrt.f64 (/.f64 (PI.f64) b)))
(.f64 (/.f64 1/2 (/.f64 (.f64 b a) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2))) (cbrt.f64 (/.f64 (PI.f64) b)))
(.f64 (/.f64 1 (/.f64 (.f64 b a) 1/2)) (/.f64 (PI.f64) b))
(.f64 (/.f64 1 (/.f64 (.f64 b a) (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))))) (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))))
(.f64 (/.f64 1 (/.f64 (.f64 b a) (cbrt.f64 (.f64 1/4 (pow.f64 (/.f64 (PI.f64) b) 2))))) (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))))
(.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (/.f64 (PI.f64) b) 2))) (.f64 b a)) (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b))))) (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b))))) (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b))))) (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b))))) (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b)))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)))) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b)))) (sqrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b)))))) (.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b)))) (sqrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b)))) 2)) (cbrt.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b)))) 2)) (cbrt.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)))))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 b a))) (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 b a))) (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) b)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1/2 b)) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 b a)))) (.f64 (sqrt.f64 (/.f64 1/2 b)) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 b a)))))
(.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) (.f64 b a))) (sqrt.f64 (/.f64 1/2 b))) (.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b a))) (sqrt.f64 (/.f64 1/2 b))))
(.f64 (.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 b a))) (sqrt.f64 (/.f64 1/2 b))) (.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 b a))) (sqrt.f64 (/.f64 1/2 b))))
(pow.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b))) 1)
(pow.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)))) 2)
(pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)))) 3)
(pow.f64 (pow.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b))) 3) 1/3)
(pow.f64 (.f64 (.f64 (/.f64 b (PI.f64)) b) (/.f64 a 1/2)) -1)
(neg.f64 (/.f64 1/2 (.f64 (.f64 b (neg.f64 a)) (/.f64 b (PI.f64)))))
(neg.f64 (.f64 (/.f64 (PI.f64) (neg.f64 b)) (.f64 1/2 (/.f64 1 (*.f64 b a)))))
(neg.f64 (.f64 (/.f64 1/2 (.f64 (*.f64 b (neg.f64 a)) (/.f64 b (PI.f64)))) 1))
(neg.f64 (.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (/.f64 1 (*.f64 b (neg.f64 a)))))
(neg.f64 (.f64 1 (/.f64 1/2 (.f64 (*.f64 b (neg.f64 a)) (/.f64 b (PI.f64))))))
(neg.f64 (.f64 (/.f64 1/2 (.f64 b a)) (/.f64 (PI.f64) (neg.f64 b))))
(neg.f64 (/.f64 (/.f64 (PI.f64) (neg.f64 b)) (/.f64 (*.f64 b a) 1/2)))
(neg.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 b)) (neg.f64 a)))
(neg.f64 (/.f64 (.f64 (/.f64 (PI.f64) b) -1/2) (.f64 b a)))
(sqrt.f64 (pow.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 1/2 b)) (/.f64 (PI.f64) (*.f64 b a))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b))))))
(cbrt.f64 (pow.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 1/2 (/.f64 (PI.f64) b)) 3) (pow.f64 (.f64 b a) 3)))
(expm1.f64 (log1p.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)))))
(exp.f64 (log.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b)))) 1))
(log1p.f64 (expm1.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)))))

Outputs
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b))))) 1)
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (.f64 (/.f64 (PI.f64) b) (/.f64 1 (*.f64 b a))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 (PI.f64) b) (.f64 1/2 (/.f64 1 (*.f64 b a))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 b a)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (/.f64 1 (*.f64 b a)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b))) 1)
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b)))) (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) (.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) (/.f64 1 (*.f64 b a))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) (/.f64 (sqrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) (.f64 b a)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b)))) (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)))) 2))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b)))) 2) (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (/.f64 (PI.f64) b) 2))) (.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) (/.f64 1 (*.f64 b a))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (/.f64 (PI.f64) b) 2))) (.f64 (/.f64 1 (.f64 a b)) (cbrt.f64 (/.f64 (*.f64 1/2 (PI.f64)) b))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (/.f64 (PI.f64) b) 2))) (/.f64 (cbrt.f64 (.f64 (PI.f64) (/.f64 1/2 b))) (.f64 a b)))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (/.f64 (PI.f64) b) 2))) (/.f64 (cbrt.f64 (.f64 1/2 (/.f64 (PI.f64) b))) (.f64 a b)))
(.f64 (.f64 (/.f64 (PI.f64) b) (/.f64 1/2 b)) (/.f64 1 a))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 1 (.f64 b a)) (*.f64 1/2 (/.f64 (PI.f64) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 1 b) (/.f64 1/2 (.f64 a (/.f64 b (PI.f64)))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 b a)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (.f64 (/.f64 (PI.f64) b) -1/2) (/.f64 1 (*.f64 b (neg.f64 a))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 1 a) (.f64 (/.f64 (PI.f64) b) (/.f64 1/2 b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 b a))) (/.f64 1/2 (.f64 (sqrt.f64 (.f64 b a)) (/.f64 b (PI.f64)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 a b))) (/.f64 1/2 (.f64 (/.f64 b (PI.f64)) (sqrt.f64 (.f64 a b)))))
(/.f64 (/.f64 1/2 (sqrt.f64 (.f64 a b))) (.f64 (/.f64 b (PI.f64)) (sqrt.f64 (*.f64 a b))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 (.f64 (sqrt.f64 (.f64 a b)) (sqrt.f64 (.f64 a b)))) b))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 b a)) 2)) (/.f64 1/2 (.f64 (cbrt.f64 (.f64 b a)) (/.f64 b (PI.f64)))))
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(neg.f64 (.f64 (/.f64 1/2 (.f64 b a)) (/.f64 (PI.f64) (neg.f64 b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(neg.f64 (/.f64 (/.f64 (PI.f64) (neg.f64 b)) (/.f64 (*.f64 b a) 1/2)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(neg.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 b)) (neg.f64 a)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(neg.f64 (/.f64 (.f64 (/.f64 (PI.f64) b) -1/2) (.f64 b a)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(sqrt.f64 (pow.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b))) 2))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(log.f64 (pow.f64 (exp.f64 (/.f64 1/2 b)) (/.f64 (PI.f64) (*.f64 b a))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(cbrt.f64 (pow.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b))) 3))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(cbrt.f64 (/.f64 (pow.f64 (.f64 1/2 (/.f64 (PI.f64) b)) 3) (pow.f64 (.f64 b a) 3)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(expm1.f64 (log1p.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(exp.f64 (log.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) b)))) 1))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(log1p.f64 (expm1.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))

eval378.0ms (2.9%)

Compiler: Compiled 18605 to 8222 computations (55.8% saved)

prune336.0ms (2.6%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	1151	7	1158
Fresh	6	1	7
Picked	0	1	1
Done	3	4	7
Total	1160	13	1173

Error

Counts

1173 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	40.32%	(/.f64 (/.f64 (/.f64 (PI.f64) a) (/.f64 a 1/2)) b)
▶	40.58%	(/.f64 (/.f64 1/2 b) (*.f64 (/.f64 a (PI.f64)) a))
	34.89%	(/.f64 (/.f64 1/2 a) (/.f64 b (/.f64 (PI.f64) a)))
▶	47.55%	(/.f64 (.f64 (/.f64 1/2 (.f64 b b)) (PI.f64)) a)
✓	40.52%	(/.f64 (.f64 (PI.f64) 1/2) (.f64 b (*.f64 a a)))
✓	41.14%	(/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 b a))
✓	41.15%	(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))
✓	47.48%	(/.f64 1/2 (*.f64 (/.f64 b (/.f64 (PI.f64) b)) a))
	34.9%	(/.f64 1/2 (.f64 (/.f64 a (PI.f64)) (.f64 a b)))
▶	41.15%	(/.f64 1/2 (.f64 (.f64 (/.f64 b (PI.f64)) a) b))
▶	5.8%	(.f64 (/.f64 (/.f64 (PI.f64) (.f64 a (+.f64 b a))) b) 1/2)
✓	34.94%	(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
▶	41.23%	(.f64 (/.f64 1 b) (/.f64 1/2 (.f64 a (/.f64 b (PI.f64)))))

Compiler

Compiled 239 to 174 computations (27.2% saved)

localize26.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1%	(/.f64 (PI.f64) (*.f64 a (+.f64 b a)))
✓	5.53%	(/.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 b a))) b)

Compiler

Compiled 41 to 10 computations (75.6% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(/.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 b a))) b)
0.0ms	a	@	-inf	(/.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 b a))) b)
0.0ms	a	@	inf	(/.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 b a))) b)
0.0ms	a	@	inf	(/.f64 (PI.f64) (*.f64 a (+.f64 b a)))
0.0ms	a	@	0	(/.f64 (PI.f64) (*.f64 a (+.f64 b a)))

rewrite90.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1050×	`associate-/r/`
870×	`associate-/l/`
738×	`distribute-rgt-in`
712×	`distribute-lft-in`
556×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	226	48
2	3453	48

Stop Event

1×	node limit

Counts

2 → 167

Calls

Call 1

Inputs
(/.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 b a))) b)
(/.f64 (PI.f64) (*.f64 a (+.f64 b a)))

Outputs

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expm1.f64 (log1p.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))))))))

simplify121.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

730×	`*-commutative`
686×	`associate-*l/`
668×	`associate-/l*`
642×	`associate-*r/`
584×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	489	9363
1	1507	8901
2	6450	8695

Stop Event

1×	node limit

Counts

215 → 287

Calls

Call 1

Inputs
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(+.f64 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))) (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))))
(+.f64 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))) (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))))
(+.f64 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))) (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4)))))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
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(+.f64 (.f64 (.f64 b b) (/.f64 (PI.f64) (.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) a))) (.f64 (.f64 a (-.f64 a b)) (/.f64 (PI.f64) (.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) a))))
(+.f64 (.f64 (.f64 a (-.f64 a b)) (/.f64 (PI.f64) (.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) a))) (.f64 (.f64 b b) (/.f64 (PI.f64) (.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) a))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b))))) 1)
(.f64 (PI.f64) (/.f64 1 (.f64 a (+.f64 a b))))
(.f64 (PI.f64) (neg.f64 (neg.f64 (/.f64 1 (.f64 a (+.f64 a b))))))
(.f64 (/.f64 (PI.f64) (.f64 a (+.f64 a b))) 1)
(.f64 1 (/.f64 (PI.f64) (.f64 a (+.f64 a b))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (.f64 a (+.f64 a b)))) (sqrt.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (.f64 a (+.f64 a b)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (*.f64 a (+.f64 a b)))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (.f64 a (+.f64 a b)))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (.f64 a (+.f64 a b)))) 2) (cbrt.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (.f64 a (+.f64 a b)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))))))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (*.f64 a (+.f64 a b)))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 1 (+.f64 a b)))
(.f64 (/.f64 (PI.f64) a) (/.f64 (-.f64 b a) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (/.f64 (PI.f64) a) (/.f64 (fma.f64 b b (.f64 a (-.f64 a b))) (+.f64 (pow.f64 b 3) (pow.f64 a 3))))
(.f64 (/.f64 1 (.f64 a (+.f64 a b))) (PI.f64))
(.f64 (neg.f64 (PI.f64)) (neg.f64 (/.f64 1 (.f64 a (+.f64 a b)))))
(.f64 (neg.f64 (PI.f64)) (/.f64 1 (.f64 a (neg.f64 (+.f64 a b)))))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 (/.f64 (PI.f64) a)) (+.f64 a b))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 (/.f64 (PI.f64) a)) (+.f64 a b)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (neg.f64 (/.f64 (PI.f64) a)) (+.f64 a b))) (cbrt.f64 (/.f64 (neg.f64 (/.f64 (PI.f64) a)) (+.f64 a b)))) (neg.f64 (cbrt.f64 (/.f64 (neg.f64 (/.f64 (PI.f64) a)) (+.f64 a b)))))
(*.f64 (/.f64 1 a) (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 (/.f64 1 (+.f64 a b)) (/.f64 (PI.f64) a))
(.f64 (/.f64 1 (sqrt.f64 (.f64 a (+.f64 a b)))) (/.f64 (PI.f64) (sqrt.f64 (*.f64 a (+.f64 a b)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 a (+.f64 a b))) 2)) (/.f64 (PI.f64) (cbrt.f64 (*.f64 a (+.f64 a b)))))
(.f64 (/.f64 (/.f64 (PI.f64) a) (-.f64 (.f64 b b) (*.f64 a a))) (-.f64 b a))
(.f64 (/.f64 (PI.f64) (.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) a)) (fma.f64 b b (*.f64 a (-.f64 a b))))
(*.f64 -1 (/.f64 (neg.f64 (/.f64 (PI.f64) a)) (+.f64 a b)))
(.f64 (neg.f64 (sqrt.f64 (/.f64 (PI.f64) (.f64 a (+.f64 a b))))) (neg.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b))))))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (.f64 a (+.f64 a b)))) 2)) (neg.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b))))))
(.f64 (/.f64 1 (.f64 a (neg.f64 (+.f64 a b)))) (neg.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 a b)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 a b)) (/.f64 (sqrt.f64 (PI.f64)) a))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (.f64 a (+.f64 a b))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 a (+.f64 a b))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (.f64 a (+.f64 a b))) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (*.f64 a (+.f64 a b)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) a) (/.f64 (cbrt.f64 (PI.f64)) (+.f64 a b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (+.f64 a b)) (/.f64 (cbrt.f64 (PI.f64)) a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (.f64 a (+.f64 a b))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (.f64 a (+.f64 a b)))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (*.f64 a (+.f64 a b)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (.f64 a (+.f64 a b))) 2)) (cbrt.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))))
(.f64 (/.f64 (PI.f64) (.f64 a (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 b a))
(.f64 (/.f64 (PI.f64) (.f64 a (+.f64 (pow.f64 b 3) (pow.f64 a 3)))) (fma.f64 b b (*.f64 a (-.f64 a b))))
(.f64 (/.f64 (PI.f64) (-.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (.f64 a a) (.f64 a a)))) (.f64 a (-.f64 b a)))
(.f64 (/.f64 (PI.f64) (+.f64 (pow.f64 (.f64 a b) 3) (pow.f64 (.f64 a a) 3))) (+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (.f64 a a) (*.f64 a (-.f64 a b)))))
(.f64 (/.f64 1 (/.f64 (.f64 a (+.f64 a b)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 1 (/.f64 (.f64 a (+.f64 a b)) (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 a (+.f64 a b))) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 (PI.f64) a) (-.f64 (.f64 a a) (*.f64 b b))) (-.f64 a b))
(.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 (neg.f64 (+.f64 a b)) (-.f64 b a))) (neg.f64 (-.f64 b a)))
(.f64 (/.f64 (/.f64 (PI.f64) a) (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)))) (neg.f64 (fma.f64 b b (.f64 a (-.f64 a b)))))
(.f64 (/.f64 (/.f64 (PI.f64) 1) (.f64 a (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 b a))
(.f64 (/.f64 (/.f64 (PI.f64) 1) (.f64 a (+.f64 (pow.f64 b 3) (pow.f64 a 3)))) (fma.f64 b b (*.f64 a (-.f64 a b))))
(.f64 (/.f64 (/.f64 (PI.f64) 1) (-.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (.f64 a a) (.f64 a a)))) (.f64 a (-.f64 b a)))
(.f64 (/.f64 (/.f64 (PI.f64) 1) (+.f64 (pow.f64 (.f64 a b) 3) (pow.f64 (.f64 a a) 3))) (+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (.f64 a a) (*.f64 a (-.f64 a b)))))
(.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) (sqrt.f64 (+.f64 a b))) (sqrt.f64 (-.f64 (.f64 b b) (*.f64 a a)))) (sqrt.f64 (-.f64 b a)))
(.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) (sqrt.f64 (+.f64 a b))) (sqrt.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)))) (sqrt.f64 (fma.f64 b b (.f64 a (-.f64 a b)))))
(.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) (pow.f64 (cbrt.f64 (+.f64 a b)) 2)) (cbrt.f64 (-.f64 (.f64 b b) (*.f64 a a)))) (cbrt.f64 (-.f64 b a)))
(.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) (pow.f64 (cbrt.f64 (+.f64 a b)) 2)) (cbrt.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)))) (cbrt.f64 (fma.f64 b b (.f64 a (-.f64 a b)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 (/.f64 (PI.f64) a)) (+.f64 a b)))) (sqrt.f64 (/.f64 (neg.f64 (/.f64 (PI.f64) a)) (+.f64 a b))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (neg.f64 (/.f64 (PI.f64) a)) (+.f64 a b))) (cbrt.f64 (/.f64 (neg.f64 (/.f64 (PI.f64) a)) (+.f64 a b))))) (cbrt.f64 (/.f64 (neg.f64 (/.f64 (PI.f64) a)) (+.f64 a b))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (PI.f64) (.f64 a (+.f64 a b)))))) (sqrt.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (.f64 a (+.f64 a b)))) 2))) (cbrt.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))))
(pow.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b))) 1)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))) 3)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) -1)
(neg.f64 (/.f64 (neg.f64 (/.f64 (PI.f64) a)) (+.f64 a b)))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b))) 2))
(log.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b))) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 a (+.f64 a b)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))))
(exp.f64 (.f64 (log.f64 (/.f64 (PI.f64) (.f64 a (+.f64 a b)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))))

Outputs
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))
(/.f64 (PI.f64) (.f64 a (.f64 b b)))
(+.f64 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))) (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))))
(+.f64 (/.f64 (PI.f64) (.f64 a (.f64 b b))) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b 3)))
(-.f64 (/.f64 (PI.f64) (.f64 a (.f64 b b))) (/.f64 (PI.f64) (pow.f64 b 3)))
(+.f64 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))) (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))))
(+.f64 (/.f64 (PI.f64) (.f64 a (.f64 b b))) (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3)) (/.f64 (*.f64 (PI.f64) a) (pow.f64 b 4))))
(+.f64 (/.f64 (PI.f64) (.f64 a (.f64 b b))) (-.f64 (*.f64 (/.f64 a (pow.f64 b 4)) (PI.f64)) (/.f64 (PI.f64) (pow.f64 b 3))))
(+.f64 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))) (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4)))))
(+.f64 (/.f64 (PI.f64) (.f64 a (.f64 b b))) (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3)) (fma.f64 -1 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 5) (PI.f64))) (/.f64 (.f64 (PI.f64) a) (pow.f64 b 4)))))
(+.f64 (/.f64 (PI.f64) (.f64 a (.f64 b b))) (-.f64 (-.f64 (.f64 (/.f64 a (pow.f64 b 4)) (PI.f64)) (.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (PI.f64))) (/.f64 (PI.f64) (pow.f64 b 3))))
(-.f64 (.f64 (PI.f64) (-.f64 (/.f64 a (pow.f64 b 4)) (/.f64 (.f64 a a) (pow.f64 b 5)))) (-.f64 (/.f64 (PI.f64) (pow.f64 b 3)) (/.f64 (PI.f64) (.f64 a (.f64 b b)))))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (.f64 b (.f64 a a)))
(+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (.f64 b (.f64 a a))))
(-.f64 (/.f64 (PI.f64) (.f64 b (.f64 a a))) (/.f64 (PI.f64) (pow.f64 a 3)))
(+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))
(+.f64 (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (.f64 b (.f64 a a)))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))
(+.f64 (-.f64 (/.f64 (PI.f64) (.f64 b (.f64 a a))) (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 (/.f64 b (pow.f64 a 4)) (PI.f64)))
(+.f64 (/.f64 (PI.f64) (.f64 b (.f64 a a))) (*.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (+.f64 (/.f64 b a) -1)))
(+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (.f64 b (.f64 a a)))) (fma.f64 -1 (/.f64 (.f64 (PI.f64) (.f64 b b)) (pow.f64 a 5)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))))
(+.f64 (-.f64 (/.f64 (PI.f64) (.f64 b (.f64 a a))) (/.f64 (PI.f64) (pow.f64 a 3))) (-.f64 (.f64 (/.f64 b (pow.f64 a 4)) (PI.f64)) (/.f64 (PI.f64) (/.f64 (pow.f64 a 5) (.f64 b b)))))
(+.f64 (-.f64 (/.f64 (PI.f64) (.f64 b (.f64 a a))) (/.f64 (PI.f64) (/.f64 (pow.f64 a 5) (.f64 b b)))) (.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (+.f64 (/.f64 b a) -1)))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (.f64 b (.f64 a a)))
(+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (.f64 b (.f64 a a))))
(-.f64 (/.f64 (PI.f64) (.f64 b (.f64 a a))) (/.f64 (PI.f64) (pow.f64 a 3)))
(+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))
(+.f64 (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (.f64 b (.f64 a a)))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))
(+.f64 (-.f64 (/.f64 (PI.f64) (.f64 b (.f64 a a))) (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 (/.f64 b (pow.f64 a 4)) (PI.f64)))
(+.f64 (/.f64 (PI.f64) (.f64 b (.f64 a a))) (*.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (+.f64 (/.f64 b a) -1)))
(+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (.f64 b (.f64 a a)))) (fma.f64 -1 (/.f64 (.f64 (PI.f64) (.f64 b b)) (pow.f64 a 5)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))))
(+.f64 (-.f64 (/.f64 (PI.f64) (.f64 b (.f64 a a))) (/.f64 (PI.f64) (pow.f64 a 3))) (-.f64 (.f64 (/.f64 b (pow.f64 a 4)) (PI.f64)) (/.f64 (PI.f64) (/.f64 (pow.f64 a 5) (.f64 b b)))))
(+.f64 (-.f64 (/.f64 (PI.f64) (.f64 b (.f64 a a))) (/.f64 (PI.f64) (/.f64 (pow.f64 a 5) (.f64 b b)))) (.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (+.f64 (/.f64 b a) -1)))
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
(/.f64 (PI.f64) (.f64 b (.f64 a a)))
(+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (.f64 b (.f64 a a))))
(-.f64 (/.f64 (PI.f64) (.f64 b (.f64 a a))) (/.f64 (PI.f64) (pow.f64 a 3)))
(+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))
(+.f64 (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (.f64 b (.f64 a a)))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))
(+.f64 (-.f64 (/.f64 (PI.f64) (.f64 b (.f64 a a))) (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 (/.f64 b (pow.f64 a 4)) (PI.f64)))
(+.f64 (/.f64 (PI.f64) (.f64 b (.f64 a a))) (*.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (+.f64 (/.f64 b a) -1)))
(+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
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(/.f64 (/.f64 (PI.f64) (cbrt.f64 (.f64 a (+.f64 a b)))) (pow.f64 (cbrt.f64 (.f64 a (+.f64 a b))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) a) (/.f64 (cbrt.f64 (PI.f64)) (+.f64 a b)))
(/.f64 (PI.f64) (*.f64 a (+.f64 a b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (+.f64 a b)) (/.f64 (cbrt.f64 (PI.f64)) a))
(/.f64 (PI.f64) (*.f64 a (+.f64 a b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (.f64 a (+.f64 a b))))
(/.f64 (PI.f64) (*.f64 a (+.f64 a b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (.f64 a (+.f64 a b)))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (*.f64 a (+.f64 a b)))))
(.f64 (/.f64 (PI.f64) (sqrt.f64 (.f64 a (+.f64 a b)))) (/.f64 1 (sqrt.f64 (*.f64 a (+.f64 a b)))))
(/.f64 (/.f64 (PI.f64) (sqrt.f64 (.f64 a (+.f64 a b)))) (sqrt.f64 (.f64 a (+.f64 a b))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (.f64 a (+.f64 a b))) 2)) (cbrt.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (.f64 a (+.f64 a b)))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 a b))) 2)))
(.f64 (/.f64 (PI.f64) (.f64 a (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 b a))
(.f64 (/.f64 (PI.f64) a) (/.f64 (-.f64 b a) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (/.f64 (PI.f64) (.f64 a (+.f64 a b))) (/.f64 (-.f64 b a) (-.f64 b a)))
(.f64 (/.f64 (PI.f64) (.f64 a (+.f64 (pow.f64 b 3) (pow.f64 a 3)))) (fma.f64 b b (*.f64 a (-.f64 a b))))
(.f64 (fma.f64 b b (.f64 a (-.f64 a b))) (/.f64 (PI.f64) (+.f64 (*.f64 a (pow.f64 b 3)) (pow.f64 a 4))))
(.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (/.f64 (PI.f64) (fma.f64 a (pow.f64 b 3) (pow.f64 a 4))))
(.f64 (/.f64 (PI.f64) (-.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (.f64 a a) (.f64 a a)))) (.f64 a (-.f64 b a)))
(.f64 (.f64 a (-.f64 b a)) (/.f64 (PI.f64) (-.f64 (.f64 (.f64 a a) (*.f64 b b)) (pow.f64 a 4))))
(.f64 a (.f64 (-.f64 b a) (/.f64 (PI.f64) (-.f64 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 a 4)))))
(.f64 (/.f64 (PI.f64) (+.f64 (pow.f64 (.f64 a b) 3) (pow.f64 (.f64 a a) 3))) (+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (.f64 a a) (*.f64 a (-.f64 a b)))))
(.f64 (fma.f64 (.f64 a b) (.f64 a b) (.f64 (pow.f64 a 3) (-.f64 a b))) (/.f64 (PI.f64) (+.f64 (pow.f64 (.f64 a b) 3) (pow.f64 (.f64 a a) 3))))
(.f64 (.f64 (.f64 a a) (fma.f64 a (-.f64 a b) (.f64 b b))) (/.f64 (PI.f64) (+.f64 (pow.f64 (*.f64 a b) 3) (pow.f64 a 6))))
(.f64 (/.f64 1 (/.f64 (.f64 a (+.f64 a b)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(/.f64 (PI.f64) (*.f64 a (+.f64 a b)))
(.f64 (/.f64 1 (/.f64 (.f64 a (+.f64 a b)) (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (PI.f64) (*.f64 a (+.f64 a b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 a (+.f64 a b))) (cbrt.f64 (PI.f64)))
(/.f64 (PI.f64) (*.f64 a (+.f64 a b)))
(.f64 (/.f64 (/.f64 (PI.f64) a) (-.f64 (.f64 a a) (*.f64 b b))) (-.f64 a b))
(.f64 (-.f64 a b) (/.f64 (/.f64 (PI.f64) a) (-.f64 (.f64 a a) (*.f64 b b))))
(.f64 (/.f64 (PI.f64) (.f64 a (+.f64 a b))) (/.f64 (-.f64 a b) (-.f64 a b)))
(.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 (neg.f64 (+.f64 a b)) (-.f64 b a))) (neg.f64 (-.f64 b a)))
(.f64 (-.f64 a b) (/.f64 (/.f64 (PI.f64) a) (-.f64 (.f64 a a) (*.f64 b b))))
(.f64 (/.f64 (PI.f64) (.f64 a (+.f64 a b))) (/.f64 (-.f64 a b) (-.f64 a b)))
(.f64 (/.f64 (/.f64 (PI.f64) a) (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)))) (neg.f64 (fma.f64 b b (.f64 a (-.f64 a b)))))
(.f64 (neg.f64 (fma.f64 b b (.f64 a (-.f64 a b)))) (/.f64 (PI.f64) (*.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3))) a)))
(.f64 (neg.f64 (fma.f64 a (-.f64 a b) (.f64 b b))) (/.f64 (PI.f64) (neg.f64 (fma.f64 a (pow.f64 b 3) (pow.f64 a 4)))))
(.f64 (/.f64 (/.f64 (PI.f64) 1) (.f64 a (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 b a))
(.f64 (/.f64 (PI.f64) a) (/.f64 (-.f64 b a) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (/.f64 (PI.f64) (.f64 a (+.f64 a b))) (/.f64 (-.f64 b a) (-.f64 b a)))
(.f64 (/.f64 (/.f64 (PI.f64) 1) (.f64 a (+.f64 (pow.f64 b 3) (pow.f64 a 3)))) (fma.f64 b b (*.f64 a (-.f64 a b))))
(.f64 (fma.f64 b b (.f64 a (-.f64 a b))) (/.f64 (PI.f64) (+.f64 (*.f64 a (pow.f64 b 3)) (pow.f64 a 4))))
(.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (/.f64 (PI.f64) (fma.f64 a (pow.f64 b 3) (pow.f64 a 4))))
(.f64 (/.f64 (/.f64 (PI.f64) 1) (-.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (.f64 a a) (.f64 a a)))) (.f64 a (-.f64 b a)))
(.f64 (.f64 a (-.f64 b a)) (/.f64 (PI.f64) (-.f64 (.f64 (.f64 a a) (*.f64 b b)) (pow.f64 a 4))))
(.f64 a (.f64 (-.f64 b a) (/.f64 (PI.f64) (-.f64 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 a 4)))))
(.f64 (/.f64 (/.f64 (PI.f64) 1) (+.f64 (pow.f64 (.f64 a b) 3) (pow.f64 (.f64 a a) 3))) (+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (.f64 a a) (*.f64 a (-.f64 a b)))))
(.f64 (fma.f64 (.f64 a b) (.f64 a b) (.f64 (pow.f64 a 3) (-.f64 a b))) (/.f64 (PI.f64) (+.f64 (pow.f64 (.f64 a b) 3) (pow.f64 (.f64 a a) 3))))
(.f64 (.f64 (.f64 a a) (fma.f64 a (-.f64 a b) (.f64 b b))) (/.f64 (PI.f64) (+.f64 (pow.f64 (*.f64 a b) 3) (pow.f64 a 6))))
(.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) (sqrt.f64 (+.f64 a b))) (sqrt.f64 (-.f64 (.f64 b b) (*.f64 a a)))) (sqrt.f64 (-.f64 b a)))
(.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 a a))) (sqrt.f64 (+.f64 a b)))) (sqrt.f64 (-.f64 b a)))
(.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a a))))) (sqrt.f64 (-.f64 b a)))
(.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) (sqrt.f64 (+.f64 a b))) (sqrt.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)))) (sqrt.f64 (fma.f64 b b (.f64 a (-.f64 a b)))))
(.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 (sqrt.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3))) (sqrt.f64 (+.f64 a b)))) (sqrt.f64 (fma.f64 b b (*.f64 a (-.f64 a b)))))
(/.f64 (/.f64 (/.f64 (PI.f64) a) (sqrt.f64 (+.f64 a b))) (/.f64 (hypot.f64 (pow.f64 a 3/2) (pow.f64 b 3/2)) (sqrt.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) (pow.f64 (cbrt.f64 (+.f64 a b)) 2)) (cbrt.f64 (-.f64 (.f64 b b) (*.f64 a a)))) (cbrt.f64 (-.f64 b a)))
(.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) (pow.f64 (cbrt.f64 (+.f64 a b)) 2))) (cbrt.f64 (-.f64 b a)))
(.f64 (/.f64 (PI.f64) (.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) (*.f64 a (pow.f64 (cbrt.f64 (+.f64 a b)) 2)))) (cbrt.f64 (-.f64 b a)))
(.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) (pow.f64 (cbrt.f64 (+.f64 a b)) 2)) (cbrt.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)))) (cbrt.f64 (fma.f64 b b (.f64 a (-.f64 a b)))))
(.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 (cbrt.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3))) (pow.f64 (cbrt.f64 (+.f64 a b)) 2))) (cbrt.f64 (fma.f64 b b (*.f64 a (-.f64 a b)))))
(.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) (cbrt.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)))) (pow.f64 (cbrt.f64 (+.f64 a b)) 2)) (cbrt.f64 (fma.f64 a (-.f64 a b) (.f64 b b))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 (/.f64 (PI.f64) a)) (+.f64 a b)))) (sqrt.f64 (/.f64 (neg.f64 (/.f64 (PI.f64) a)) (+.f64 a b))))
(/.f64 (PI.f64) (*.f64 a (+.f64 a b)))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (neg.f64 (/.f64 (PI.f64) a)) (+.f64 a b))) (cbrt.f64 (/.f64 (neg.f64 (/.f64 (PI.f64) a)) (+.f64 a b))))) (cbrt.f64 (/.f64 (neg.f64 (/.f64 (PI.f64) a)) (+.f64 a b))))
(/.f64 (PI.f64) (*.f64 a (+.f64 a b)))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (PI.f64) (.f64 a (+.f64 a b)))))) (sqrt.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))))
(/.f64 (PI.f64) (*.f64 a (+.f64 a b)))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (.f64 a (+.f64 a b)))) 2))) (cbrt.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))))
(/.f64 (PI.f64) (*.f64 a (+.f64 a b)))
(pow.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b))) 1)
(/.f64 (PI.f64) (*.f64 a (+.f64 a b)))
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))) 2)
(/.f64 (PI.f64) (*.f64 a (+.f64 a b)))
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))) 3)
(/.f64 (PI.f64) (*.f64 a (+.f64 a b)))
(pow.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b))) 3) 1/3)
(/.f64 (PI.f64) (*.f64 a (+.f64 a b)))
(pow.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) -1)
(/.f64 (PI.f64) (*.f64 a (+.f64 a b)))
(neg.f64 (/.f64 (neg.f64 (/.f64 (PI.f64) a)) (+.f64 a b)))
(/.f64 (PI.f64) (*.f64 a (+.f64 a b)))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b))) 2))
(fabs.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b))))
(log.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))))
(/.f64 (PI.f64) (*.f64 a (+.f64 a b)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b))))))
(/.f64 (PI.f64) (*.f64 a (+.f64 a b)))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b))) 3))
(/.f64 (PI.f64) (*.f64 a (+.f64 a b)))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 a (+.f64 a b)) 3)))
(/.f64 (PI.f64) (*.f64 a (+.f64 a b)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))))
(/.f64 (PI.f64) (*.f64 a (+.f64 a b)))
(exp.f64 (log.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))))
(/.f64 (PI.f64) (*.f64 a (+.f64 a b)))
(exp.f64 (.f64 (log.f64 (/.f64 (PI.f64) (.f64 a (+.f64 a b)))) 1))
(/.f64 (PI.f64) (*.f64 a (+.f64 a b)))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 a b)))))
(/.f64 (PI.f64) (*.f64 a (+.f64 a b)))

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2%	(.f64 (.f64 (/.f64 b (PI.f64)) a) b)
✓	0.32%	(*.f64 (/.f64 b (PI.f64)) a)
✓	0.35%	(/.f64 b (PI.f64))
✓	0.7%	(/.f64 1/2 (.f64 (.f64 (/.f64 b (PI.f64)) a) b))

Compiler

Compiled 30 to 9 computations (70% saved)

series3.0ms (0%)

Counts

4 → 72

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	b	@	-inf	(/.f64 b (PI.f64))
0.0ms	a	@	0	(*.f64 (/.f64 b (PI.f64)) a)
0.0ms	b	@	-inf	(*.f64 (/.f64 b (PI.f64)) a)
0.0ms	a	@	-inf	(*.f64 (/.f64 b (PI.f64)) a)
0.0ms	b	@	0	(*.f64 (/.f64 b (PI.f64)) a)

rewrite87.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1132×	`associate-/l*`
1024×	`unswap-sqr`
826×	`swap-sqr`
420×	`sqr-pow`
380×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	72
1	236	72
2	3115	72

Stop Event

1×	node limit

Counts

4 → 200

Calls

Call 1

Inputs
(/.f64 1/2 (.f64 (.f64 (/.f64 b (PI.f64)) a) b))
(/.f64 b (PI.f64))
(*.f64 (/.f64 b (PI.f64)) a)
(.f64 (.f64 (/.f64 b (PI.f64)) a) b)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) b)) (sqrt.f64 (/.f64 (.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) b)) (pow.f64 (cbrt.f64 (/.f64 (.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) b)) 2) (cbrt.f64 (/.f64 (.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (PI.f64) b) (.f64 b a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (/.f64 1 (.f64 b (.f64 (/.f64 b (PI.f64)) (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 b) (.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a)))) (/.f64 1/2 (sqrt.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a))) 2)) (/.f64 1/2 (cbrt.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (.f64 b a)) (/.f64 (PI.f64) b))))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (/.f64 (PI.f64) (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (/.f64 (/.f64 (PI.f64) b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (PI.f64)) (/.f64 1 (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 1 (.f64 (/.f64 b (PI.f64)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 (/.f64 (PI.f64) b) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 b (PI.f64)) a) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (PI.f64) b) (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 a) (/.f64 (/.f64 (PI.f64) b) (.f64 (sqrt.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 (/.f64 b (PI.f64)) 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pow.f64 (cbrt.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 b (.f64 (/.f64 b (PI.f64)) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 b 3) (pow.f64 (.f64 (/.f64 b (PI.f64)) a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 b (PI.f64)) a) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a))))))))

simplify102.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1646×	`distribute-lft-in`
1644×	`distribute-rgt-in`
758×	`associate-r`
734×	`associate-l`
542×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	457	6266
1	1171	6212
2	5207	6212

Stop Event

1×	node limit

Counts

272 → 249

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) b))) 1)
(.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 b a)))
(.f64 (/.f64 (.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) b) 1)
(.f64 1 (/.f64 (.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) b))
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(/.f64 (*.f64 a (sqrt.f64 b)) (/.f64 (/.f64 (PI.f64) b) (sqrt.f64 b)))
(/.f64 (*.f64 a (pow.f64 (cbrt.f64 b) 2)) (/.f64 (/.f64 (PI.f64) b) (cbrt.f64 b)))
(/.f64 (*.f64 b (/.f64 b (PI.f64))) (/.f64 1 a))
(/.f64 (.f64 b (sqrt.f64 (.f64 (/.f64 b (PI.f64)) a))) (/.f64 1 (sqrt.f64 (*.f64 (/.f64 b (PI.f64)) a))))
(/.f64 (.f64 b (pow.f64 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) a)) 2)) (/.f64 1 (cbrt.f64 (*.f64 (/.f64 b (PI.f64)) a))))
(/.f64 (.f64 (.f64 (/.f64 b (PI.f64)) a) (sqrt.f64 b)) (/.f64 1 (sqrt.f64 b)))
(/.f64 (.f64 (.f64 (/.f64 b (PI.f64)) a) (pow.f64 (cbrt.f64 b) 2)) (/.f64 1 (cbrt.f64 b)))
(/.f64 (.f64 b (.f64 b a)) (PI.f64))
(/.f64 (.f64 (neg.f64 b) (.f64 b a)) (neg.f64 (PI.f64)))
(/.f64 (.f64 (.f64 b a) b) (PI.f64))
(/.f64 (.f64 (sqrt.f64 b) (sqrt.f64 a)) (/.f64 (/.f64 (PI.f64) b) (.f64 (sqrt.f64 b) (sqrt.f64 a))))
(/.f64 (.f64 (sqrt.f64 a) (sqrt.f64 b)) (/.f64 (/.f64 (PI.f64) b) (.f64 (sqrt.f64 a) (sqrt.f64 b))))
(pow.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a)) 1)
(pow.f64 (sqrt.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a))) 2)
(pow.f64 (cbrt.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a))) 3)
(pow.f64 (pow.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a)) 3) 1/3)
(neg.f64 (.f64 b (.f64 (/.f64 b (PI.f64)) (neg.f64 a))))
(sqrt.f64 (pow.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a)) 2))
(log.f64 (exp.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a)))))
(cbrt.f64 (pow.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a)) 3))
(cbrt.f64 (.f64 (pow.f64 b 3) (pow.f64 (.f64 (/.f64 b (PI.f64)) a) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 b (PI.f64)) a) 3) (pow.f64 b 3)))
(expm1.f64 (log1p.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a))))
(exp.f64 (log.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a))))
(exp.f64 (*.f64 (log.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a))) 1))
(log1p.f64 (expm1.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a))))

Outputs
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) b))) 1)
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 b a)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 (.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) b) 1)
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 1 (/.f64 (.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (sqrt.f64 (/.f64 (.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) b)) (sqrt.f64 (/.f64 (*.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (cbrt.f64 (/.f64 (.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) b)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) b)) 2))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) b)) 2) (cbrt.f64 (/.f64 (*.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) (/.f64 1 b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 (/.f64 (PI.f64) b) (.f64 b a)) 1/2)
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 b a)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 -1/2 (/.f64 1 (.f64 b (*.f64 (/.f64 b (PI.f64)) (neg.f64 a)))))
(/.f64 -1/2 (.f64 (/.f64 (.f64 b b) (PI.f64)) (neg.f64 a)))
(/.f64 -1/2 (.f64 (neg.f64 a) (/.f64 (.f64 b b) (PI.f64))))
(.f64 (/.f64 1 b) (.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a)))) (/.f64 1/2 (sqrt.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 a b)))) (/.f64 1/2 (sqrt.f64 (.f64 (/.f64 b (PI.f64)) (*.f64 a b)))))
(/.f64 (/.f64 1/2 (sqrt.f64 (.f64 a (/.f64 (.f64 b b) (PI.f64))))) (sqrt.f64 (.f64 a (/.f64 (.f64 b b) (PI.f64)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a))) 2)) (/.f64 1/2 (cbrt.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 a b))) 2)) (/.f64 1/2 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) (*.f64 a b)))))
(/.f64 (/.f64 1/2 (cbrt.f64 (.f64 a (/.f64 (.f64 b b) (PI.f64))))) (pow.f64 (cbrt.f64 (.f64 a (/.f64 (.f64 b b) (PI.f64)))) 2))
(.f64 (/.f64 1/2 (.f64 b a)) (/.f64 (PI.f64) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 1 (.f64 b (*.f64 (/.f64 b (PI.f64)) (neg.f64 a)))) -1/2)
(/.f64 -1/2 (.f64 (/.f64 (.f64 b b) (PI.f64)) (neg.f64 a)))
(/.f64 -1/2 (.f64 (neg.f64 a) (/.f64 (.f64 b b) (PI.f64))))
(*.f64 (/.f64 (/.f64 1/2 b) a) (/.f64 (PI.f64) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 (/.f64 1/2 b) 1) (/.f64 (PI.f64) (.f64 b a)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 1/2 (.f64 b (*.f64 b a))) (PI.f64))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 1/2 (.f64 (neg.f64 b) (*.f64 b a))) (neg.f64 (PI.f64)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 1/2 (.f64 (*.f64 b a) b)) (PI.f64))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 1/2 b) b) (/.f64 (PI.f64) a))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 (/.f64 1/2 b) (.f64 b a)) (PI.f64))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 1/2 b) (/.f64 b (/.f64 1 a))) (PI.f64))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(*.f64 (/.f64 (/.f64 1/2 b) (/.f64 b (/.f64 (sqrt.f64 (PI.f64)) a))) (sqrt.f64 (PI.f64)))
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(/.f64 (.f64 (/.f64 1/2 b) (sqrt.f64 (PI.f64))) (/.f64 (.f64 a b) (sqrt.f64 (PI.f64))))
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(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (/.f64 (/.f64 1/2 b) (.f64 b (neg.f64 a))) (neg.f64 (PI.f64)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) b))) (cbrt.f64 (/.f64 (.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) b))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) b))) (cbrt.f64 (/.f64 (*.f64 (/.f64 (/.f64 1/2 a) b) (PI.f64)) b))))
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(/.f64 (*.f64 b a) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (neg.f64 b) (/.f64 (neg.f64 (PI.f64)) a))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (sqrt.f64 (.f64 b a)) (/.f64 (PI.f64) (sqrt.f64 (.f64 b a))))
(.f64 (/.f64 (sqrt.f64 (.f64 a b)) (PI.f64)) (sqrt.f64 (*.f64 a b)))
(/.f64 (.f64 (sqrt.f64 (.f64 a b)) (sqrt.f64 (*.f64 a b))) (PI.f64))
(/.f64 (.f64 (cbrt.f64 (.f64 b a)) (cbrt.f64 (.f64 b a))) (/.f64 (PI.f64) (cbrt.f64 (.f64 b a))))
(/.f64 (cbrt.f64 (.f64 a b)) (/.f64 (/.f64 (PI.f64) (cbrt.f64 (.f64 a b))) (cbrt.f64 (*.f64 a b))))
(.f64 (cbrt.f64 (.f64 a b)) (/.f64 (cbrt.f64 (.f64 a b)) (/.f64 (PI.f64) (cbrt.f64 (.f64 a b)))))
(/.f64 (*.f64 b (sqrt.f64 a)) (/.f64 (PI.f64) (sqrt.f64 a)))
(.f64 (/.f64 (sqrt.f64 a) (PI.f64)) (.f64 b (sqrt.f64 a)))
(.f64 (sqrt.f64 a) (.f64 (/.f64 (sqrt.f64 a) (PI.f64)) b))
(/.f64 (*.f64 b (pow.f64 (cbrt.f64 a) 2)) (/.f64 (PI.f64) (cbrt.f64 a)))
(/.f64 (cbrt.f64 a) (/.f64 (PI.f64) (*.f64 b (pow.f64 (cbrt.f64 a) 2))))
(.f64 (cbrt.f64 a) (.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (PI.f64)) b))
(/.f64 (*.f64 a (sqrt.f64 b)) (/.f64 (PI.f64) (sqrt.f64 b)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (*.f64 a (pow.f64 (cbrt.f64 b) 2)) (/.f64 (PI.f64) (cbrt.f64 b)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (/.f64 b (/.f64 1 a)) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (/.f64 b (/.f64 (sqrt.f64 (PI.f64)) a)) (sqrt.f64 (PI.f64)))
(/.f64 b (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) a)))
(/.f64 (/.f64 (*.f64 b a) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (*.f64 b (neg.f64 a)) (neg.f64 (PI.f64)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(/.f64 (.f64 (sqrt.f64 b) (sqrt.f64 a)) (/.f64 (PI.f64) (.f64 (sqrt.f64 b) (sqrt.f64 a))))
(.f64 (/.f64 (sqrt.f64 a) (PI.f64)) (.f64 b (sqrt.f64 a)))
(.f64 (sqrt.f64 a) (.f64 (/.f64 (sqrt.f64 a) (PI.f64)) b))
(/.f64 (.f64 (sqrt.f64 a) (sqrt.f64 b)) (/.f64 (PI.f64) (.f64 (sqrt.f64 a) (sqrt.f64 b))))
(.f64 (/.f64 (sqrt.f64 a) (PI.f64)) (.f64 b (sqrt.f64 a)))
(.f64 (sqrt.f64 a) (.f64 (/.f64 (sqrt.f64 a) (PI.f64)) b))
(pow.f64 (*.f64 (/.f64 b (PI.f64)) a) 1)
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 b (PI.f64)) a)) 2)
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 b (PI.f64)) a)) 3)
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(pow.f64 (pow.f64 (*.f64 (/.f64 b (PI.f64)) a) 3) 1/3)
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(neg.f64 (*.f64 (/.f64 b (PI.f64)) (neg.f64 a)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(neg.f64 (/.f64 (*.f64 b a) (neg.f64 (PI.f64))))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 b (PI.f64)) a) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 a b) (PI.f64)) 2))
(fabs.f64 (*.f64 a (/.f64 b (PI.f64))))
(log.f64 (pow.f64 (exp.f64 a) (/.f64 b (PI.f64))))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 b (PI.f64)) a))))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 b (PI.f64)) a) 3))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 b (PI.f64)) 3) (pow.f64 a 3)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 b (PI.f64)) 3)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 b (PI.f64)) a)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(exp.f64 (log.f64 (*.f64 (/.f64 b (PI.f64)) a)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 b (PI.f64)) a)) 1))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 b (PI.f64)) a)))
(/.f64 (*.f64 a b) (PI.f64))
(*.f64 a (/.f64 b (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a)))) 1)
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 b (/.f64 (PI.f64) (*.f64 b a)))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 b (/.f64 (/.f64 (PI.f64) b) a))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (/.f64 b (PI.f64)) (/.f64 1 (*.f64 b a)))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 a (/.f64 1 (*.f64 (/.f64 b (PI.f64)) b)))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 a (/.f64 (/.f64 (PI.f64) b) b))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 (/.f64 b (PI.f64)) a) (/.f64 1 b))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a)) 1)
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 1 (/.f64 (/.f64 (PI.f64) b) (*.f64 b a)))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (sqrt.f64 a) (/.f64 (/.f64 (PI.f64) b) (*.f64 (sqrt.f64 a) b)))
(.f64 (/.f64 (sqrt.f64 a) (/.f64 (PI.f64) b)) (.f64 b (sqrt.f64 a)))
(.f64 (.f64 b (sqrt.f64 a)) (*.f64 (/.f64 (sqrt.f64 a) (PI.f64)) b))
(/.f64 (sqrt.f64 (.f64 (/.f64 b (PI.f64)) a)) (/.f64 1 (.f64 (sqrt.f64 (*.f64 (/.f64 b (PI.f64)) a)) b)))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (sqrt.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a))) (/.f64 1 (sqrt.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a)))))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (sqrt.f64 (/.f64 b (PI.f64))) (/.f64 1 (.f64 (sqrt.f64 (/.f64 b (PI.f64))) (.f64 b a))))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (sqrt.f64 b) (/.f64 1 (.f64 (sqrt.f64 b) (.f64 (/.f64 b (PI.f64)) a))))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (sqrt.f64 b) (/.f64 (/.f64 (PI.f64) b) (*.f64 (sqrt.f64 b) a)))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 (/.f64 (PI.f64) b) (*.f64 (cbrt.f64 a) b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 (PI.f64) b)) (.f64 b (cbrt.f64 a)))
(.f64 (cbrt.f64 a) (.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (PI.f64)) b) b))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) a)) 2) (/.f64 1 (.f64 (cbrt.f64 (*.f64 (/.f64 b (PI.f64)) a)) b)))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (cbrt.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a))) 2)))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a))) 2) (/.f64 1 (cbrt.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a)))))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 b (PI.f64))) 2) (/.f64 1 (.f64 (cbrt.f64 (/.f64 b (PI.f64))) (.f64 b a))))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 1 (.f64 (cbrt.f64 b) (.f64 (/.f64 b (PI.f64)) a))))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (/.f64 (PI.f64) b) (*.f64 (cbrt.f64 b) a)))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 b a) (/.f64 (PI.f64) b))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (neg.f64 b) (/.f64 (neg.f64 (PI.f64)) (*.f64 b a)))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (sqrt.f64 (.f64 b a)) (/.f64 (/.f64 (PI.f64) b) (sqrt.f64 (.f64 b a))))
(.f64 (/.f64 (sqrt.f64 (.f64 a b)) (/.f64 (PI.f64) b)) (sqrt.f64 (*.f64 a b)))
(/.f64 (.f64 (sqrt.f64 (.f64 a b)) (sqrt.f64 (*.f64 a b))) (/.f64 (PI.f64) b))
(/.f64 (.f64 (cbrt.f64 (.f64 b a)) (cbrt.f64 (.f64 b a))) (/.f64 (/.f64 (PI.f64) b) (cbrt.f64 (.f64 b a))))
(.f64 (/.f64 (.f64 (cbrt.f64 (.f64 a b)) (cbrt.f64 (.f64 a b))) (/.f64 (PI.f64) b)) (cbrt.f64 (*.f64 a b)))
(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 a b)) (cbrt.f64 (.f64 a b))) (cbrt.f64 (*.f64 a b))) (/.f64 (PI.f64) b))
(/.f64 (*.f64 b (sqrt.f64 a)) (/.f64 (/.f64 (PI.f64) b) (sqrt.f64 a)))
(.f64 (/.f64 (sqrt.f64 a) (/.f64 (PI.f64) b)) (.f64 b (sqrt.f64 a)))
(.f64 (.f64 b (sqrt.f64 a)) (*.f64 (/.f64 (sqrt.f64 a) (PI.f64)) b))
(/.f64 (*.f64 b (pow.f64 (cbrt.f64 a) 2)) (/.f64 (/.f64 (PI.f64) b) (cbrt.f64 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 (PI.f64) b)) (.f64 b (cbrt.f64 a)))
(.f64 (cbrt.f64 a) (.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (PI.f64)) b) b))
(/.f64 (*.f64 a (sqrt.f64 b)) (/.f64 (/.f64 (PI.f64) b) (sqrt.f64 b)))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 a (pow.f64 (cbrt.f64 b) 2)) (/.f64 (/.f64 (PI.f64) b) (cbrt.f64 b)))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (*.f64 b (/.f64 b (PI.f64))) (/.f64 1 a))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (.f64 b (sqrt.f64 (.f64 (/.f64 b (PI.f64)) a))) (/.f64 1 (sqrt.f64 (*.f64 (/.f64 b (PI.f64)) a))))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (.f64 b (pow.f64 (cbrt.f64 (.f64 (/.f64 b (PI.f64)) a)) 2)) (/.f64 1 (cbrt.f64 (*.f64 (/.f64 b (PI.f64)) a))))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (.f64 (.f64 (/.f64 b (PI.f64)) a) (sqrt.f64 b)) (/.f64 1 (sqrt.f64 b)))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (.f64 (.f64 (/.f64 b (PI.f64)) a) (pow.f64 (cbrt.f64 b) 2)) (/.f64 1 (cbrt.f64 b)))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (.f64 b (.f64 b a)) (PI.f64))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (.f64 (neg.f64 b) (.f64 b a)) (neg.f64 (PI.f64)))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (.f64 (.f64 b a) b) (PI.f64))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(/.f64 (.f64 (sqrt.f64 b) (sqrt.f64 a)) (/.f64 (/.f64 (PI.f64) b) (.f64 (sqrt.f64 b) (sqrt.f64 a))))
(.f64 (/.f64 (sqrt.f64 a) (/.f64 (PI.f64) b)) (.f64 b (sqrt.f64 a)))
(.f64 (.f64 b (sqrt.f64 a)) (*.f64 (/.f64 (sqrt.f64 a) (PI.f64)) b))
(/.f64 (.f64 (sqrt.f64 a) (sqrt.f64 b)) (/.f64 (/.f64 (PI.f64) b) (.f64 (sqrt.f64 a) (sqrt.f64 b))))
(.f64 (/.f64 (sqrt.f64 a) (/.f64 (PI.f64) b)) (.f64 b (sqrt.f64 a)))
(.f64 (.f64 b (sqrt.f64 a)) (*.f64 (/.f64 (sqrt.f64 a) (PI.f64)) b))
(pow.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a)) 1)
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(pow.f64 (sqrt.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a))) 2)
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(pow.f64 (cbrt.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a))) 3)
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(pow.f64 (pow.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a)) 3) 1/3)
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(neg.f64 (.f64 b (.f64 (/.f64 b (PI.f64)) (neg.f64 a))))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a)) 2))
(sqrt.f64 (pow.f64 (.f64 (/.f64 b (PI.f64)) (.f64 a b)) 2))
(fabs.f64 (.f64 a (/.f64 (.f64 b b) (PI.f64))))
(log.f64 (exp.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a))))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a)))))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a)) 3))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(cbrt.f64 (.f64 (pow.f64 b 3) (pow.f64 (.f64 (/.f64 b (PI.f64)) a) 3)))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 b (PI.f64)) a) 3) (pow.f64 b 3)))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(expm1.f64 (log1p.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a))))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(exp.f64 (log.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a))))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a))) 1))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))
(log1p.f64 (expm1.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) b) a))))
(.f64 (/.f64 b (PI.f64)) (.f64 a b))
(.f64 a (/.f64 (.f64 b b) (PI.f64)))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.26%	(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
✓	0.52%	(/.f64 1/2 (*.f64 b b))
✓	12.23%	(/.f64 (.f64 (/.f64 1/2 (.f64 b b)) (PI.f64)) a)

Compiler

Compiled 30 to 14 computations (53.3% saved)

series37.0ms (0.3%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
0.0ms	b	@	0	(/.f64 1/2 (*.f64 b b))
0.0ms	b	@	inf	(/.f64 1/2 (*.f64 b b))
0.0ms	b	@	inf	(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
0.0ms	b	@	0	(/.f64 (.f64 (/.f64 1/2 (.f64 b b)) (PI.f64)) a)

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1780×	`associate-/l*`
890×	`unswap-sqr`
784×	`swap-sqr`
670×	`associate-/l/`
544×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	236	61
2	3176	61

Stop Event

1×	node limit

Counts

3 → 153

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 1/2 (.f64 b b)) (PI.f64)) a)
(/.f64 1/2 (*.f64 b b))
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (/.f64 b (PI.f64))) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) 2) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (/.f64 (cbrt.f64 (pow.f64 b 4)) (PI.f64))) (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 b 4))) (/.f64 1 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) -1/2) (*.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (PI.f64) -1/2)) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1/2 b) 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b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))))))))

simplify114.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1758×	`distribute-rgt-in`
1756×	`distribute-lft-in`
630×	`associate-l`
624×	`associate-r`
606×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	380	5837
1	1051	5559
2	5055	5559

Stop Event

1×	node limit

Counts

201 → 225

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(/.f64 1/2 (pow.f64 b 2))
(/.f64 1/2 (pow.f64 b 2))
(/.f64 1/2 (pow.f64 b 2))
(/.f64 1/2 (pow.f64 b 2))
(/.f64 1/2 (pow.f64 b 2))
(/.f64 1/2 (pow.f64 b 2))
(/.f64 1/2 (pow.f64 b 2))
(/.f64 1/2 (pow.f64 b 2))
(/.f64 1/2 (pow.f64 b 2))
(/.f64 1/2 (pow.f64 b 2))
(/.f64 1/2 (pow.f64 b 2))
(/.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a)))) 1)
(.f64 (/.f64 1/2 (.f64 b b)) (*.f64 (PI.f64) (/.f64 1 a)))
(.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a))
(.f64 (PI.f64) (.f64 (/.f64 1/2 (*.f64 b b)) (/.f64 1 a)))
(.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b)) (/.f64 1 a))
(.f64 (.f64 (/.f64 1/2 (*.f64 b b)) (/.f64 (PI.f64) a)) 1)
(.f64 1 (.f64 (/.f64 1/2 (*.f64 b b)) (/.f64 (PI.f64) a)))
(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) b) (sqrt.f64 a)) (/.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) b) (sqrt.f64 a)))
(.f64 (/.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) b) (.f64 (/.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) b) (/.f64 1 a)))
(.f64 (/.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) b) (/.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) (.f64 a b)))
(.f64 (cbrt.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a))) (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 (*.f64 b b)) (/.f64 (PI.f64) a))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a))) 2) (cbrt.f64 (.f64 (/.f64 1/2 (*.f64 b b)) (/.f64 (PI.f64) a))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))) 2) (.f64 (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))) (/.f64 1 a)))
(.f64 (/.f64 1 a) (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b)))
(.f64 (.f64 (/.f64 -1/2 b) (/.f64 (PI.f64) b)) (/.f64 1 (neg.f64 a)))
(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 1/2 (.f64 (sqrt.f64 a) (/.f64 b (/.f64 (PI.f64) b)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (PI.f64) (.f64 (/.f64 (cbrt.f64 a) 1/2) (*.f64 b b))))
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 b b)))
(.f64 (/.f64 (PI.f64) (sqrt.f64 a)) (/.f64 1/2 (.f64 (sqrt.f64 a) (*.f64 b b))))
(.f64 (/.f64 1/2 (.f64 a (*.f64 b b))) (PI.f64))
(.f64 (/.f64 1 (neg.f64 a)) (.f64 (/.f64 -1/2 b) (/.f64 (PI.f64) b)))
(.f64 (/.f64 1/2 (.f64 (sqrt.f64 a) (*.f64 b b))) (/.f64 (PI.f64) (sqrt.f64 a)))
(*.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 b -2))) (/.f64 (PI.f64) (cbrt.f64 a)))
(.f64 (/.f64 (PI.f64) 1) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 a) 2)) (/.f64 1/2 (.f64 (cbrt.f64 a) (*.f64 b b))))
(.f64 (/.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) (.f64 a b)) (/.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) b))
(.f64 (/.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) (.f64 (pow.f64 (cbrt.f64 a) 2) b)) (/.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) (*.f64 (cbrt.f64 a) b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))) a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))) (sqrt.f64 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) b) (/.f64 a (PI.f64))) (/.f64 (sqrt.f64 1/2) b))
(.f64 (/.f64 (/.f64 1/2 (.f64 b b)) (/.f64 a (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))) 2) a) (cbrt.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))))
(*.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (pow.f64 b -2))
(.f64 (/.f64 (/.f64 1/2 (.f64 b b)) (neg.f64 a)) (neg.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 1/2 (.f64 b b)) (/.f64 a (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 1 (/.f64 a (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))) 2))) (cbrt.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))))
(.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 b 4))) (/.f64 a (PI.f64))) (cbrt.f64 (/.f64 1/2 (.f64 b b))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a)))) (cbrt.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a)))) (cbrt.f64 (.f64 (/.f64 1/2 (*.f64 b b)) (/.f64 (PI.f64) a)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) b) (sqrt.f64 a))) (cbrt.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a)))) (.f64 (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) b) (sqrt.f64 a))) (cbrt.f64 (.f64 (/.f64 1/2 (*.f64 b b)) (/.f64 (PI.f64) a)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 (*.f64 b b)) (/.f64 (PI.f64) a))) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) b) (sqrt.f64 a))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a))) 2))) (.f64 (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) b) (sqrt.f64 a))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 (*.f64 b b)) (/.f64 (PI.f64) a))) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a))) (sqrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a))))) (.f64 (cbrt.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a))) (sqrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 (*.f64 b b)) (/.f64 (PI.f64) a))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a))) 2)) (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) b) (sqrt.f64 a)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a))) 2)) (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) b) (sqrt.f64 a)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 a)) (/.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) b)) (.f64 (sqrt.f64 (/.f64 1 a)) (/.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) b)))
(pow.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a)) 1)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) b) (sqrt.f64 a)) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a)) 3) 1/3)
(pow.f64 (.f64 a (.f64 2 (/.f64 b (/.f64 (PI.f64) b)))) -1)
(neg.f64 (/.f64 (.f64 (/.f64 1/2 b) (PI.f64)) (.f64 (neg.f64 a) b)))
(neg.f64 (/.f64 (*.f64 (/.f64 -1/2 b) (/.f64 (PI.f64) b)) a))
(neg.f64 (.f64 (/.f64 (.f64 (/.f64 1/2 b) (PI.f64)) (*.f64 (neg.f64 a) b)) 1))
(neg.f64 (.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b)) (/.f64 1 (neg.f64 a))))
(neg.f64 (.f64 1 (/.f64 (.f64 (/.f64 1/2 b) (PI.f64)) (*.f64 (neg.f64 a) b))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a)) 2))
(log.f64 (exp.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a)))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b)) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a))))
(exp.f64 (log.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 1/2 (*.f64 b b)) (/.f64 (PI.f64) a))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 1/2 (.f64 b b)) (/.f64 (PI.f64) a))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (*.f64 b b)))) 1)
(*.f64 1/2 (pow.f64 b -2))
(.f64 (/.f64 1/2 (.f64 b b)) 1)
(.f64 1 (/.f64 1/2 (.f64 b b)))
(*.f64 (/.f64 (sqrt.f64 1/2) b) (/.f64 (sqrt.f64 1/2) b))
(.f64 (cbrt.f64 (/.f64 1/2 (.f64 b b))) (cbrt.f64 (/.f64 1/4 (pow.f64 b 4))))
(.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 b 4))) (cbrt.f64 (/.f64 1/2 (.f64 b b))))
(*.f64 (/.f64 1/2 b) (/.f64 1 b))
(*.f64 (pow.f64 b -2) 1/2)
(.f64 -1/2 (/.f64 1 (.f64 b (neg.f64 b))))
(*.f64 (/.f64 1 b) (/.f64 1/2 b))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 b 4))) (/.f64 1/2 (pow.f64 (cbrt.f64 b) 2)))
(.f64 (/.f64 1 (.f64 b (neg.f64 b))) -1/2)
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 (.f64 b b)))) (cbrt.f64 (/.f64 1/2 (.f64 b b)))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 (.f64 b b)))) (cbrt.f64 (/.f64 1/2 (*.f64 b b)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) b)) (cbrt.f64 (/.f64 1/2 (.f64 b b)))) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) b)) (cbrt.f64 (/.f64 1/2 (*.f64 b b)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 (.f64 b b)))) (sqrt.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 b 4))))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 (*.f64 b b)))) (sqrt.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 b 4))))))
(.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) b)) (sqrt.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 b 4))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) b)) (sqrt.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 b 4))))))
(.f64 (.f64 (cbrt.f64 (/.f64 1/2 (.f64 b b))) (sqrt.f64 (cbrt.f64 (/.f64 1/2 (.f64 b b))))) (.f64 (cbrt.f64 (/.f64 1/2 (.f64 b b))) (sqrt.f64 (cbrt.f64 (/.f64 1/2 (*.f64 b b))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 b 4)))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) b))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 b 4)))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) b))))
(pow.f64 (/.f64 1/2 (*.f64 b b)) 1)
(pow.f64 (/.f64 (sqrt.f64 1/2) b) 2)
(pow.f64 (cbrt.f64 (/.f64 1/2 (*.f64 b b))) 3)
(pow.f64 (pow.f64 (/.f64 1/2 (*.f64 b b)) 3) 1/3)
(pow.f64 (.f64 (.f64 b b) 2) -1)
(neg.f64 (/.f64 (/.f64 1/2 b) (neg.f64 b)))
(sqrt.f64 (/.f64 1/4 (pow.f64 b 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 b -2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (*.f64 b b)))))
(cbrt.f64 (pow.f64 (/.f64 1/2 (*.f64 b b)) 3))
(expm1.f64 (log1p.f64 (/.f64 1/2 (*.f64 b b))))
(exp.f64 (log.f64 (/.f64 1/2 (*.f64 b b))))
(exp.f64 (.f64 (log.f64 (/.f64 1/2 (.f64 b b))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/2 (*.f64 b b))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b)))) 1)
(/.f64 1/2 (/.f64 b (/.f64 (PI.f64) b)))
(/.f64 1/2 (/.f64 1 (*.f64 (pow.f64 b -2) (PI.f64))))
(/.f64 1/2 (*.f64 1 (/.f64 b (/.f64 (PI.f64) b))))
(/.f64 (/.f64 1/2 (*.f64 b b)) (/.f64 1 (PI.f64)))
(/.f64 (PI.f64) (.f64 (.f64 b b) 2))
(/.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b)) 1)
(/.f64 1 (*.f64 2 (/.f64 b (/.f64 (PI.f64) b))))
(/.f64 1 (/.f64 (.f64 (.f64 b b) 2) (PI.f64)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (.f64 (sqrt.f64 (PI.f64)) (/.f64 1/2 (.f64 b b)))))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (.f64 b b) 2) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) b) (.f64 (/.f64 1 (sqrt.f64 (*.f64 1/2 (PI.f64)))) b))
(/.f64 (/.f64 (sqrt.f64 1/2) b) (/.f64 1 (*.f64 (/.f64 (sqrt.f64 1/2) b) (PI.f64))))
(/.f64 (cbrt.f64 (PI.f64)) (/.f64 (.f64 (.f64 b b) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 1 (.f64 (cbrt.f64 (PI.f64)) (/.f64 1/2 (.f64 b b)))))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (.f64 (.f64 b b) 2) (cbrt.f64 (PI.f64))))
(/.f64 (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))) 2) (/.f64 1 (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b)))))
(/.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 b 4))) (/.f64 1 (.f64 (cbrt.f64 (/.f64 1/2 (.f64 b b))) (PI.f64))))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 b b))
(/.f64 (.f64 1/2 (PI.f64)) (/.f64 (.f64 b b) 1))
(/.f64 (/.f64 1/2 b) (/.f64 1 (/.f64 (PI.f64) b)))
(/.f64 (/.f64 1/2 b) (/.f64 b (PI.f64)))
(/.f64 -1/2 (/.f64 (*.f64 b (neg.f64 b)) (PI.f64)))
(/.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) (/.f64 (.f64 b b) (sqrt.f64 (*.f64 1/2 (PI.f64)))))
(/.f64 (.f64 (cbrt.f64 (.f64 1/2 (PI.f64))) (cbrt.f64 (.f64 1/2 (PI.f64)))) (/.f64 (.f64 b b) (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(/.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (/.f64 (.f64 b b) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (.f64 b b) (cbrt.f64 (PI.f64))))
(/.f64 (.f64 (/.f64 1/2 (.f64 b b)) (sqrt.f64 (PI.f64))) (/.f64 1 (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (/.f64 1/2 (.f64 b b)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 1 (cbrt.f64 (PI.f64))))
(/.f64 (*.f64 (PI.f64) (/.f64 (sqrt.f64 1/2) b)) (/.f64 1 (/.f64 (sqrt.f64 1/2) b)))
(/.f64 (.f64 (PI.f64) (cbrt.f64 (/.f64 1/4 (pow.f64 b 4)))) (/.f64 1 (cbrt.f64 (/.f64 1/2 (.f64 b b)))))
(/.f64 (*.f64 (PI.f64) (/.f64 1/2 b)) b)
(/.f64 (*.f64 (/.f64 1/2 b) (PI.f64)) b)
(/.f64 (/.f64 1/2 (/.f64 b (PI.f64))) b)
(/.f64 (/.f64 (PI.f64) 2) (*.f64 b b))
(/.f64 (/.f64 1/2 (/.f64 (cbrt.f64 (pow.f64 b 4)) (PI.f64))) (pow.f64 (cbrt.f64 b) 2))
(/.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 b 4))) (/.f64 1 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 b) 2))))
(/.f64 (.f64 (PI.f64) -1/2) (.f64 b (neg.f64 b)))
(/.f64 (neg.f64 (.f64 (PI.f64) -1/2)) (.f64 b b))
(pow.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b)) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) b) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b)) 3) 1/3)
(neg.f64 (*.f64 (/.f64 -1/2 b) (/.f64 (PI.f64) b)))
(neg.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 b (neg.f64 b))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (pow.f64 b -2)) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b)) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1/2 (.f64 b b)) 3) (pow.f64 (PI.f64) 3)))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 1/2 (.f64 b b)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))))
(exp.f64 (log.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))))

Outputs
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
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(/.f64 (/.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) b) (.f64 (/.f64 1 (sqrt.f64 (*.f64 1/2 (PI.f64)))) b))
(/.f64 (/.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) b) (/.f64 (.f64 1 b) (sqrt.f64 (*.f64 1/2 (PI.f64)))))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) b) 2)
(/.f64 (/.f64 (sqrt.f64 1/2) b) (/.f64 1 (*.f64 (/.f64 (sqrt.f64 1/2) b) (PI.f64))))
(.f64 (/.f64 (/.f64 (sqrt.f64 1/2) b) 1) (.f64 (PI.f64) (/.f64 (sqrt.f64 1/2) b)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) b) 2) (PI.f64))
(/.f64 (cbrt.f64 (PI.f64)) (/.f64 (.f64 (.f64 b b) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) (.f64 b (*.f64 b 2))) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 b (*.f64 b 2))))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 1 (.f64 (cbrt.f64 (PI.f64)) (/.f64 1/2 (.f64 b b)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (.f64 (/.f64 1/2 (*.f64 b b)) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (/.f64 1/2 b) b) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 1/2 (.f64 b b)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (.f64 (.f64 b b) 2) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) (.f64 b (*.f64 b 2))) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 b (*.f64 b 2))))
(/.f64 (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))) 2)))
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))) 2) (/.f64 1 (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b)))))
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))
(/.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 b 4))) (/.f64 1 (.f64 (cbrt.f64 (/.f64 1/2 (.f64 b b))) (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 b 4))) 1) (.f64 (PI.f64) (cbrt.f64 (/.f64 1/2 (*.f64 b b)))))
(.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 b 4))) (.f64 (PI.f64) (cbrt.f64 (/.f64 (/.f64 1/2 b) b))))
(.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 b 4))) (.f64 (PI.f64) (cbrt.f64 (/.f64 1/2 (*.f64 b b)))))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 b b))
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))
(/.f64 (.f64 1/2 (PI.f64)) (/.f64 (.f64 b b) 1))
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))
(/.f64 (/.f64 1/2 b) (/.f64 1 (/.f64 (PI.f64) b)))
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))
(/.f64 (/.f64 1/2 b) (/.f64 b (PI.f64)))
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))
(/.f64 -1/2 (/.f64 (*.f64 b (neg.f64 b)) (PI.f64)))
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))
(/.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) (/.f64 (.f64 b b) (sqrt.f64 (*.f64 1/2 (PI.f64)))))
(/.f64 (/.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) b) (/.f64 (.f64 1 b) (sqrt.f64 (*.f64 1/2 (PI.f64)))))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) b) 2)
(/.f64 (.f64 (cbrt.f64 (.f64 1/2 (PI.f64))) (cbrt.f64 (.f64 1/2 (PI.f64)))) (/.f64 (.f64 b b) (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(/.f64 (cbrt.f64 (.f64 1/2 (PI.f64))) (/.f64 (/.f64 (.f64 b b) (cbrt.f64 (.f64 1/2 (PI.f64)))) (cbrt.f64 (.f64 1/2 (PI.f64)))))
(/.f64 (cbrt.f64 (.f64 1/2 (PI.f64))) (/.f64 (.f64 (/.f64 b (cbrt.f64 (.f64 1/2 (PI.f64)))) b) (cbrt.f64 (.f64 1/2 (PI.f64)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (.f64 1/2 (PI.f64))) (cbrt.f64 (.f64 1/2 (PI.f64)))) b) (/.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) b))
(/.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (/.f64 (.f64 b b) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (.f64 (/.f64 1/2 (*.f64 b b)) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (/.f64 1/2 b) b) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1/2 (.f64 b b)) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (.f64 b b) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (.f64 (/.f64 1/2 (*.f64 b b)) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (/.f64 1/2 b) b) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 1/2 (.f64 b b)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))))
(/.f64 (.f64 (/.f64 1/2 (.f64 b b)) (sqrt.f64 (PI.f64))) (/.f64 1 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (.f64 (/.f64 1/2 (*.f64 b b)) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (/.f64 1/2 b) b) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1/2 (.f64 b b)) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (/.f64 1/2 (.f64 b b)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 1 (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (.f64 (/.f64 1/2 (*.f64 b b)) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (/.f64 1/2 b) b) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 1/2 (.f64 b b)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))))
(/.f64 (*.f64 (PI.f64) (/.f64 (sqrt.f64 1/2) b)) (/.f64 1 (/.f64 (sqrt.f64 1/2) b)))
(.f64 (/.f64 (/.f64 (sqrt.f64 1/2) b) 1) (.f64 (PI.f64) (/.f64 (sqrt.f64 1/2) b)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) b) 2) (PI.f64))
(/.f64 (.f64 (PI.f64) (cbrt.f64 (/.f64 1/4 (pow.f64 b 4)))) (/.f64 1 (cbrt.f64 (/.f64 1/2 (.f64 b b)))))
(.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 b 4))) 1) (.f64 (PI.f64) (cbrt.f64 (/.f64 1/2 (*.f64 b b)))))
(.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 b 4))) (.f64 (PI.f64) (cbrt.f64 (/.f64 (/.f64 1/2 b) b))))
(.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 b 4))) (.f64 (PI.f64) (cbrt.f64 (/.f64 1/2 (*.f64 b b)))))
(/.f64 (*.f64 (PI.f64) (/.f64 1/2 b)) b)
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))
(/.f64 (*.f64 (/.f64 1/2 b) (PI.f64)) b)
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))
(/.f64 (/.f64 1/2 (/.f64 b (PI.f64))) b)
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))
(/.f64 (/.f64 (PI.f64) 2) (*.f64 b b))
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))
(/.f64 (/.f64 1/2 (/.f64 (cbrt.f64 (pow.f64 b 4)) (PI.f64))) (pow.f64 (cbrt.f64 b) 2))
(/.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (cbrt.f64 (pow.f64 b 4)) (PI.f64))))
(/.f64 (*.f64 (PI.f64) (/.f64 1/2 (cbrt.f64 (pow.f64 b 4)))) (pow.f64 (cbrt.f64 b) 2))
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 b 4))) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 b) 2)))
(/.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 b 4))) (/.f64 1 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 b) 2))))
(/.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (cbrt.f64 (pow.f64 b 4)) (PI.f64))))
(/.f64 (*.f64 (PI.f64) (/.f64 1/2 (cbrt.f64 (pow.f64 b 4)))) (pow.f64 (cbrt.f64 b) 2))
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 b 4))) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 b) 2)))
(/.f64 (.f64 (PI.f64) -1/2) (.f64 b (neg.f64 b)))
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))
(/.f64 (neg.f64 (.f64 (PI.f64) -1/2)) (.f64 b b))
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))
(pow.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b)) 1)
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) b) 2)
(/.f64 (/.f64 (sqrt.f64 (.f64 1/2 (PI.f64))) b) (/.f64 (.f64 1 b) (sqrt.f64 (*.f64 1/2 (PI.f64)))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))) 3)
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))
(pow.f64 (pow.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b)) 3) 1/3)
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))
(neg.f64 (*.f64 (/.f64 -1/2 b) (/.f64 (PI.f64) b)))
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))
(neg.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 b (neg.f64 b))))
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b)) 2))
(sqrt.f64 (pow.f64 (.f64 (/.f64 1/2 (.f64 b b)) (PI.f64)) 2))
(fabs.f64 (.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (pow.f64 b -2)) (PI.f64)))
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b)))))
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b)) 3))
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1/2 (.f64 b b)) 3) (pow.f64 (PI.f64) 3)))
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 1/2 (.f64 b b)) 3)))
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))))
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))
(exp.f64 (log.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))))
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))) 1))
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))))
(.f64 (/.f64 1/2 (.f64 b b)) (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (pow.f64 b -2)))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.23%	(*.f64 (/.f64 a (PI.f64)) a)
✓	0.38%	(/.f64 a (PI.f64))
✓	12.78%	(/.f64 (/.f64 1/2 b) (*.f64 (/.f64 a (PI.f64)) a))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	a	@	-inf	(/.f64 a (PI.f64))
0.0ms	a	@	inf	(/.f64 a (PI.f64))
0.0ms	a	@	0	(/.f64 a (PI.f64))
0.0ms	a	@	inf	(*.f64 (/.f64 a (PI.f64)) a)
0.0ms	a	@	0	(*.f64 (/.f64 a (PI.f64)) a)

rewrite115.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1178×	`associate-/l/`
1164×	`associate-/r/`
914×	`swap-sqr`
532×	`distribute-lft-neg-in`
480×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
1	241	51
2	3412	51

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

Inputs
(/.f64 (/.f64 1/2 b) (*.f64 (/.f64 a (PI.f64)) a))
(/.f64 a (PI.f64))
(*.f64 (/.f64 a (PI.f64)) a)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 1 b) (/.f64 (PI.f64) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 1 (*.f64 a b)) (/.f64 (PI.f64) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/2 b)) (*.f64 (sqrt.f64 (/.f64 1/2 b)) (/.f64 (PI.f64) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))) 2) (cbrt.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (*.f64 b b))) (*.f64 (cbrt.f64 (/.f64 1/2 b)) (/.f64 (PI.f64) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) a)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 b) (*.f64 (/.f64 1 (*.f64 a (neg.f64 a))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 1/2 (*.f64 a b)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a (/.f64 (PI.f64) a))) 2)) (/.f64 1/2 (*.f64 (cbrt.f64 (/.f64 a (/.f64 (PI.f64) a))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a a))) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 (PI.f64) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 a a)) (*.f64 (/.f64 1/2 b) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (*.f64 a a) b)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 a b)) (/.f64 (PI.f64) a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 a (neg.f64 a))) (PI.f64)) (/.f64 -1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (*.f64 (/.f64 1 (*.f64 a b)) (PI.f64)))))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 a (/.f64 (PI.f64) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 (PI.f64) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a (/.f64 (PI.f64) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (PI.f64) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a a) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a a) 1) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a a) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a a) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (neg.f64 a)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (/.f64 (PI.f64) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (sqrt.f64 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a (/.f64 (PI.f64) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a (/.f64 (PI.f64) a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 a (/.f64 (neg.f64 a) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 a (/.f64 (PI.f64) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 a (/.f64 (PI.f64) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 a (/.f64 (PI.f64) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a (/.f64 (PI.f64) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 a (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 a (PI.f64)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 a (/.f64 (PI.f64) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 a (/.f64 (PI.f64) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 (PI.f64) a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a (/.f64 (PI.f64) a))))))))

simplify127.0ms (1%)

Algorithm

1×	egg-herbie

Rules

908×	`distribute-rgt-in`
906×	`distribute-lft-in`
568×	`associate-*r/`
554×	`associate-*l/`
544×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	343	4220
1	958	4178
2	4142	4178

Stop Event

1×	node limit

Counts

180 → 178

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (pow.f64 a 2) (PI.f64))
(/.f64 (pow.f64 a 2) (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a a))))) 1)
(.f64 1/2 (.f64 (/.f64 1 b) (/.f64 (PI.f64) (*.f64 a a))))
(.f64 1/2 (.f64 (/.f64 1 (*.f64 a b)) (/.f64 (PI.f64) a)))
(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a a)))
(.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))) 1)
(.f64 1 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))))
(.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1/2 b)) (.f64 (sqrt.f64 (/.f64 1/2 b)) (/.f64 (PI.f64) (*.f64 a a))))
(.f64 (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a a)))) (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a a)))) 2) (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))))
(.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) (.f64 (cbrt.f64 (/.f64 1/2 b)) (/.f64 (PI.f64) (.f64 a a))))
(.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) a)) (/.f64 1 a))
(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
(.f64 (/.f64 -1/2 b) (.f64 (/.f64 1 (*.f64 a (neg.f64 a))) (PI.f64)))
(.f64 (/.f64 1 a) (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) a)))
(.f64 (.f64 (/.f64 1 a) (sqrt.f64 (PI.f64))) (.f64 (/.f64 1/2 (.f64 a b)) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a (/.f64 (PI.f64) a))) 2)) (/.f64 1/2 (.f64 (cbrt.f64 (/.f64 a (/.f64 (PI.f64) a))) b)))
(.f64 (.f64 1/2 (/.f64 (PI.f64) (*.f64 a a))) (/.f64 1 b))
(.f64 (/.f64 1/2 (.f64 a b)) (/.f64 (PI.f64) a))
(.f64 (/.f64 1 (.f64 a a)) (*.f64 (/.f64 1/2 b) (PI.f64)))
(.f64 (/.f64 1/2 (.f64 (*.f64 a a) b)) (PI.f64))
(.f64 (.f64 (/.f64 1 (*.f64 a b)) (/.f64 (PI.f64) a)) 1/2)
(.f64 (.f64 (/.f64 1 (*.f64 a (neg.f64 a))) (PI.f64)) (/.f64 -1/2 b))
(.f64 (/.f64 1/2 a) (.f64 (/.f64 1 (*.f64 a b)) (PI.f64)))
(.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (/.f64 1 (*.f64 a b)))
(.f64 (.f64 (/.f64 1/2 a) (sqrt.f64 (PI.f64))) (.f64 (/.f64 1 (.f64 a b)) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (/.f64 a (/.f64 (PI.f64) a))) 2)) (/.f64 1 (.f64 (cbrt.f64 (/.f64 a (/.f64 (PI.f64) a))) b)))
(.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a) (.f64 (sqrt.f64 (/.f64 1/2 b)) (/.f64 (PI.f64) a)))
(.f64 (.f64 (sqrt.f64 (/.f64 1/2 b)) (/.f64 (PI.f64) a)) (/.f64 (sqrt.f64 (/.f64 1/2 b)) a))
(.f64 (.f64 (sqrt.f64 (/.f64 1/2 b)) (/.f64 (PI.f64) (*.f64 a a))) (sqrt.f64 (/.f64 1/2 b)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) (pow.f64 (cbrt.f64 (/.f64 a (/.f64 (PI.f64) a))) 2)) (/.f64 (sqrt.f64 (/.f64 1/2 b)) (cbrt.f64 (/.f64 a (/.f64 (PI.f64) a)))))
(.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) a) (*.f64 (/.f64 (cbrt.f64 (/.f64 1/2 b)) a) (PI.f64)))
(.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) (/.f64 a (PI.f64))) (/.f64 (cbrt.f64 (/.f64 1/2 b)) a))
(.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) 1) (*.f64 (/.f64 (cbrt.f64 (/.f64 1/2 b)) a) (/.f64 (PI.f64) a)))
(.f64 (.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) a) (sqrt.f64 (PI.f64))) (.f64 (/.f64 (cbrt.f64 (/.f64 1/2 b)) a) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) (pow.f64 (cbrt.f64 (/.f64 a (/.f64 (PI.f64) a))) 2)) (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a a)))))
(.f64 (/.f64 (/.f64 1/2 b) (.f64 a (neg.f64 a))) (neg.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 1/2 (.f64 a b)) 1) (/.f64 (PI.f64) a))
(.f64 (/.f64 (/.f64 1/2 (.f64 a b)) -1) (/.f64 (PI.f64) (neg.f64 a)))
(.f64 (/.f64 (/.f64 1/2 b) (/.f64 (.f64 a a) 1)) (PI.f64))
(.f64 (/.f64 (/.f64 1/2 b) (/.f64 (.f64 a a) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 1/2 b) (/.f64 (.f64 a a) (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 1 (/.f64 (/.f64 a (/.f64 (PI.f64) a)) 1/2)) (/.f64 1 b))
(.f64 (/.f64 1 (/.f64 (/.f64 a (/.f64 (PI.f64) a)) (cbrt.f64 (/.f64 1/4 (.f64 b b))))) (cbrt.f64 (/.f64 1/2 b)))
(.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (.f64 b b))) (/.f64 a (/.f64 (PI.f64) a))) (cbrt.f64 (/.f64 1/2 b)))
(.f64 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b) 1/2)
(.f64 (/.f64 (/.f64 (PI.f64) (.f64 a a)) 1) (/.f64 1/2 b))
(.f64 (/.f64 (/.f64 (PI.f64) (.f64 a a)) (sqrt.f64 b)) (/.f64 1/2 (sqrt.f64 b)))
(.f64 (/.f64 (/.f64 (PI.f64) (.f64 a a)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 1/2 (cbrt.f64 b)))
(.f64 (/.f64 (/.f64 (PI.f64) (.f64 a a)) (neg.f64 b)) -1/2)
(.f64 (/.f64 (/.f64 -1/2 b) (.f64 a (neg.f64 a))) (PI.f64))
(.f64 (/.f64 (/.f64 1/2 (.f64 a b)) a) (PI.f64))
(.f64 (/.f64 (/.f64 1/2 (.f64 a b)) (sqrt.f64 a)) (/.f64 (PI.f64) (sqrt.f64 a)))
(.f64 (/.f64 (/.f64 1/2 (.f64 a b)) (/.f64 a (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 1/2 (.f64 a b)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (PI.f64) (cbrt.f64 a)))
(.f64 (/.f64 (/.f64 1/2 (.f64 a b)) (neg.f64 a)) (neg.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 1/2 (.f64 a b)) (/.f64 a 1)) (PI.f64))
(.f64 (/.f64 (/.f64 1/2 (.f64 a b)) (/.f64 a (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (/.f64 1/2 (*.f64 a b)) (sqrt.f64 (PI.f64))) a) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 b) (pow.f64 (cbrt.f64 (/.f64 a (/.f64 (PI.f64) a))) 2)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (PI.f64)))
(pow.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a a))) 1)
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a) (sqrt.f64 (PI.f64))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a a)))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a a))) 3) 1/3)
(pow.f64 (.f64 (/.f64 a (/.f64 (PI.f64) a)) (.f64 b 2)) -1)
(neg.f64 (/.f64 1/2 (.f64 b (.f64 a (/.f64 (neg.f64 a) (PI.f64))))))
(neg.f64 (.f64 (/.f64 1/2 (.f64 b (*.f64 a (/.f64 (neg.f64 a) (PI.f64))))) 1))
(neg.f64 (.f64 (/.f64 1/2 b) (.f64 (/.f64 1 (*.f64 a (neg.f64 a))) (PI.f64))))
(neg.f64 (.f64 1 (/.f64 1/2 (.f64 b (*.f64 a (/.f64 (neg.f64 a) (PI.f64)))))))
(neg.f64 (/.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) a)) (neg.f64 a)))
(neg.f64 (/.f64 (/.f64 -1/2 b) (/.f64 a (/.f64 (PI.f64) a))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a a))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 1/2 b)) (/.f64 (PI.f64) (*.f64 a a))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a a))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a a))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1/2 b) 3) (pow.f64 (/.f64 a (/.f64 (PI.f64) a)) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a a)))))
(exp.f64 (log.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a a)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a)))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a a)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a (PI.f64)))) 1)
(*.f64 a (/.f64 1 (PI.f64)))
(*.f64 (/.f64 a (PI.f64)) 1)
(*.f64 1 (/.f64 a (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 a (PI.f64))) (sqrt.f64 (/.f64 a (PI.f64))))
(.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (/.f64 1 (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 a (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 a (PI.f64))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 a (PI.f64))) 2) (cbrt.f64 (/.f64 a (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (/.f64 1 (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) a)
(*.f64 (neg.f64 a) (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 a (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 a (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (neg.f64 (PI.f64))) (neg.f64 a))
(*.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 a) (PI.f64)) (sqrt.f64 a))
(*.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 a) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 a (PI.f64))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) (sqrt.f64 a))) (sqrt.f64 a))
(*.f64 (/.f64 1 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (PI.f64)) (cbrt.f64 a))
(pow.f64 (/.f64 a (PI.f64)) 1)
(pow.f64 (sqrt.f64 (/.f64 a (PI.f64))) 2)
(pow.f64 (cbrt.f64 (/.f64 a (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 a (PI.f64)) 3) 1/3)
(pow.f64 (/.f64 (PI.f64) a) -1)
(neg.f64 (/.f64 (neg.f64 a) (PI.f64)))
(neg.f64 (/.f64 (/.f64 (neg.f64 a) (PI.f64)) 1))
(sqrt.f64 (pow.f64 (/.f64 a (PI.f64)) 2))
(log.f64 (exp.f64 (/.f64 a (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 a (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 a (PI.f64))))
(exp.f64 (log.f64 (/.f64 a (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 a (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 a (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a (/.f64 (PI.f64) a)))) 1)
(/.f64 a (/.f64 (PI.f64) a))
(/.f64 (/.f64 a (/.f64 (PI.f64) a)) 1)
(/.f64 1 (/.f64 (PI.f64) (*.f64 a a)))
(/.f64 (*.f64 a a) (PI.f64))
(/.f64 (/.f64 (*.f64 a a) 1) (PI.f64))
(/.f64 (/.f64 (*.f64 a a) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 a a) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(/.f64 (*.f64 a (neg.f64 a)) (neg.f64 (PI.f64)))
(pow.f64 (/.f64 a (/.f64 (PI.f64) a)) 1)
(pow.f64 (/.f64 a (sqrt.f64 (PI.f64))) 2)
(pow.f64 (cbrt.f64 (/.f64 a (/.f64 (PI.f64) a))) 3)
(pow.f64 (pow.f64 (/.f64 a (/.f64 (PI.f64) a)) 3) 1/3)
(neg.f64 (*.f64 a (/.f64 (neg.f64 a) (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 a (/.f64 (PI.f64) a)) 2))
(log.f64 (exp.f64 (/.f64 a (/.f64 (PI.f64) a))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a (/.f64 (PI.f64) a)))))
(cbrt.f64 (pow.f64 (/.f64 a (/.f64 (PI.f64) a)) 3))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 a (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 a (PI.f64)) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (/.f64 a (/.f64 (PI.f64) a))))
(exp.f64 (log.f64 (/.f64 a (/.f64 (PI.f64) a))))
(exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 (PI.f64) a))) 1))
(log1p.f64 (expm1.f64 (/.f64 a (/.f64 (PI.f64) a))))

Outputs
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 a b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 a b))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 a b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 a b))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 a b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 a b))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 a b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 a b))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 a b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 a b))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 a b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 a b))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 a b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 a b))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 a b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 a b))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 a b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 a b))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 a b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 a b))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 a b))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 a b))))
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
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(cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (PI.f64) 3)))
(/.f64 a (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 a (PI.f64))))
(/.f64 a (PI.f64))
(exp.f64 (log.f64 (/.f64 a (PI.f64))))
(/.f64 a (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 a (PI.f64))) 1))
(/.f64 a (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 a (PI.f64))))
(/.f64 a (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a (/.f64 (PI.f64) a)))) 1)
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(/.f64 a (/.f64 (PI.f64) a))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(/.f64 (/.f64 a (/.f64 (PI.f64) a)) 1)
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(/.f64 1 (/.f64 (PI.f64) (*.f64 a a)))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(/.f64 (*.f64 a a) (PI.f64))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(/.f64 (/.f64 (*.f64 a a) 1) (PI.f64))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(/.f64 (/.f64 (*.f64 a a) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(/.f64 (/.f64 (*.f64 a a) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(/.f64 (*.f64 a (neg.f64 a)) (neg.f64 (PI.f64)))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(pow.f64 (/.f64 a (/.f64 (PI.f64) a)) 1)
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(pow.f64 (/.f64 a (sqrt.f64 (PI.f64))) 2)
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(pow.f64 (cbrt.f64 (/.f64 a (/.f64 (PI.f64) a))) 3)
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(pow.f64 (pow.f64 (/.f64 a (/.f64 (PI.f64) a)) 3) 1/3)
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(neg.f64 (*.f64 a (/.f64 (neg.f64 a) (PI.f64))))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 a (/.f64 (PI.f64) a)) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 a (PI.f64)) a) 2))
(fabs.f64 (*.f64 a (/.f64 a (PI.f64))))
(log.f64 (exp.f64 (/.f64 a (/.f64 (PI.f64) a))))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a (/.f64 (PI.f64) a)))))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 a (/.f64 (PI.f64) a)) 3))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 a (PI.f64)) 3)))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 a (PI.f64)) 3) (pow.f64 a 3)))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(expm1.f64 (log1p.f64 (/.f64 a (/.f64 (PI.f64) a))))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(exp.f64 (log.f64 (/.f64 a (/.f64 (PI.f64) a))))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 (PI.f64) a))) 1))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))
(log1p.f64 (expm1.f64 (/.f64 a (/.f64 (PI.f64) a))))
(*.f64 (/.f64 a (PI.f64)) a)
(*.f64 a (/.f64 a (PI.f64)))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.28%	(.f64 (/.f64 1 b) (/.f64 1/2 (.f64 a (/.f64 b (PI.f64)))))
✓	0.32%	(*.f64 a (/.f64 b (PI.f64)))
	0.35%	(/.f64 b (PI.f64))
✓	0.77%	(/.f64 1/2 (*.f64 a (/.f64 b (PI.f64))))

Compiler

Compiled 36 to 16 computations (55.6% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(/.f64 1/2 (*.f64 a (/.f64 b (PI.f64))))
0.0ms	b	@	0	(/.f64 1/2 (*.f64 a (/.f64 b (PI.f64))))
0.0ms	b	@	inf	(/.f64 1/2 (*.f64 a (/.f64 b (PI.f64))))
0.0ms	a	@	inf	(/.f64 1/2 (*.f64 a (/.f64 b (PI.f64))))
0.0ms	b	@	-inf	(/.f64 1/2 (*.f64 a (/.f64 b (PI.f64))))

rewrite111.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1708×	`associate-/l*`
932×	`associate-/r/`
698×	`associate-/l/`
380×	`distribute-lft-neg-in`
350×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	63
1	277	63
2	3660	63

Stop Event

1×	node limit

Counts

3 → 196

Calls

Call 1

Inputs
(/.f64 1/2 (*.f64 a (/.f64 b (PI.f64))))
(*.f64 a (/.f64 b (PI.f64)))
(.f64 (/.f64 1 b) (/.f64 1/2 (.f64 a (/.f64 b (PI.f64)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))) (sqrt.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 2)) (cbrt.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (*.f64 a b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) b) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (*.f64 (/.f64 b (PI.f64)) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 1/2 (/.f64 (PI.f64) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 a (PI.f64)) b))) (/.f64 1/2 (sqrt.f64 (*.f64 (/.f64 a (PI.f64)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a (PI.f64)) b)) 2)) (/.f64 1/2 (cbrt.f64 (*.f64 (/.f64 a (PI.f64)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 a b)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 a b)) (*.f64 1/2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 a) (neg.f64 b)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 b (PI.f64)) (neg.f64 a))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 a) (/.f64 b (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 a (/.f64 (sqrt.f64 (PI.f64)) b))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 (*.f64 a b) (cbrt.f64 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 a) (sqrt.f64 b)) (/.f64 (PI.f64) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 a) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (PI.f64) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 a) -1) (neg.f64 (/.f64 (PI.f64) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 a) (/.f64 b (cbrt.f64 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (*.f64 (/.f64 a (PI.f64)) b))) (sqrt.f64 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(sqrt.f64 (/.f64 (PI.f64) b))) (sqrt.f64 b)) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1/2 a) (sqrt.f64 (/.f64 (PI.f64) b))) (sqrt.f64 (neg.f64 b))) (sqrt.f64 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (/.f64 b (PI.f64))) 2) a)) 1) (cbrt.f64 (/.f64 (PI.f64) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (/.f64 b (PI.f64))) 2) a)) (cbrt.f64 b)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (/.f64 b (PI.f64))) 2) a)) (cbrt.f64 (neg.f64 b))) (cbrt.f64 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (/.f64 a (PI.f64)) b) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (/.f64 (PI.f64) (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 a (PI.f64)) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 (PI.f64) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (/.f64 (PI.f64) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (/.f64 1 (*.f64 (/.f64 1 (PI.f64)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (PI.f64)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a (PI.f64)) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (PI.f64) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 b (PI.f64))) (/.f64 1 (*.f64 (sqrt.f64 (/.f64 b (PI.f64))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (/.f64 a (PI.f64)) b)) (/.f64 1 (sqrt.f64 (*.f64 (/.f64 a (PI.f64)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 a) (/.f64 (/.f64 (PI.f64) b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 a) (/.f64 (PI.f64) (*.f64 (sqrt.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 a) (/.f64 1 (*.f64 (sqrt.f64 a) (/.f64 b (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 b (PI.f64))) 2) (/.f64 1 (*.f64 (cbrt.f64 (/.f64 b (PI.f64))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (/.f64 a (PI.f64)) b)) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a (PI.f64)) b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a (PI.f64)) b)) 2) (/.f64 1 (cbrt.f64 (*.f64 (/.f64 a (PI.f64)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 a) (/.f64 (/.f64 (PI.f64) b) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 (/.f64 (PI.f64) b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 (PI.f64) (*.f64 (cbrt.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x 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(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 3) (/.f64 (pow.f64 b -2) b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 b -2) b) (pow.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a b)))))))))

simplify148.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1034×	`distribute-lft-in`
1032×	`distribute-rgt-in`
824×	`associate-/l*`
744×	`associate-/r*`
618×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	497	8088
1	1349	8040
2	6057	8040

Stop Event

1×	node limit

Counts

268 → 308

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (PI.f64))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)))) 1)
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 1)
(.f64 1 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)))
(.f64 (sqrt.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))) (sqrt.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))))
(.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 2)) (cbrt.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))))
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))
(.f64 (/.f64 (PI.f64) (.f64 a b)) 1/2)
(*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 a))
(.f64 -1/2 (/.f64 1 (.f64 (/.f64 b (PI.f64)) (neg.f64 a))))
(.f64 (/.f64 1 a) (.f64 1/2 (/.f64 (PI.f64) b)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (/.f64 a (PI.f64)) b))) (/.f64 1/2 (sqrt.f64 (*.f64 (/.f64 a (PI.f64)) b))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (/.f64 a (PI.f64)) b)) 2)) (/.f64 1/2 (cbrt.f64 (*.f64 (/.f64 a (PI.f64)) b))))
(.f64 (/.f64 1/2 (.f64 a b)) (PI.f64))
(.f64 (/.f64 1 (.f64 a b)) (*.f64 1/2 (PI.f64)))
(*.f64 (/.f64 (/.f64 1/2 a) (neg.f64 b)) (neg.f64 (PI.f64)))
(.f64 (/.f64 1 (.f64 (/.f64 b (PI.f64)) (neg.f64 a))) -1/2)
(*.f64 (/.f64 (/.f64 1/2 a) (/.f64 b (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 1/2 (/.f64 a (/.f64 (sqrt.f64 (PI.f64)) b))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 1/2 (/.f64 (.f64 a b) (cbrt.f64 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 1/2 a) (sqrt.f64 b)) (/.f64 (PI.f64) (sqrt.f64 b)))
(*.f64 (/.f64 (/.f64 1/2 a) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (PI.f64) (cbrt.f64 b)))
(*.f64 (/.f64 (/.f64 1/2 a) -1) (neg.f64 (/.f64 (PI.f64) b)))
(*.f64 (/.f64 (/.f64 1/2 a) (/.f64 b (cbrt.f64 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (.f64 (/.f64 a (PI.f64)) b))) (sqrt.f64 (*.f64 a b))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (.f64 (/.f64 a (PI.f64)) b)) 2)) (cbrt.f64 (*.f64 a b))) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 1/2 (.f64 a b)) 1) (PI.f64))
(.f64 (/.f64 (/.f64 1/2 (.f64 a b)) 1) (/.f64 (PI.f64) 1))
(.f64 (/.f64 (/.f64 1/2 (.f64 a b)) -1) (neg.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 1/2 (.f64 a b)) (/.f64 1 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 1/2 (.f64 a b)) (/.f64 1 (cbrt.f64 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (/.f64 1/2 a) (sqrt.f64 (/.f64 (PI.f64) b))) 1) (sqrt.f64 (/.f64 (PI.f64) b)))
(.f64 (/.f64 (.f64 (/.f64 1/2 a) (sqrt.f64 (/.f64 (PI.f64) b))) (sqrt.f64 b)) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (/.f64 1/2 a) (sqrt.f64 (/.f64 (PI.f64) b))) (sqrt.f64 (neg.f64 b))) (sqrt.f64 (neg.f64 (PI.f64))))
(.f64 (/.f64 (/.f64 1/2 (.f64 (pow.f64 (cbrt.f64 (/.f64 b (PI.f64))) 2) a)) 1) (cbrt.f64 (/.f64 (PI.f64) b)))
(.f64 (/.f64 (/.f64 1/2 (.f64 (pow.f64 (cbrt.f64 (/.f64 b (PI.f64))) 2) a)) (cbrt.f64 b)) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 1/2 (.f64 (pow.f64 (cbrt.f64 (/.f64 b (PI.f64))) 2) a)) (cbrt.f64 (neg.f64 b))) (cbrt.f64 (neg.f64 (PI.f64))))
(pow.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 3) 1/3)
(pow.f64 (.f64 (.f64 (/.f64 a (PI.f64)) b) 2) -1)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 2))
(log.f64 (pow.f64 (exp.f64 1/2) (/.f64 (PI.f64) (*.f64 a b))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))))
(exp.f64 (log.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 a (PI.f64)) b))) 1)
(/.f64 a (/.f64 (PI.f64) b))
(/.f64 b (/.f64 (PI.f64) a))
(/.f64 b (/.f64 1 (*.f64 (/.f64 1 (PI.f64)) a)))
(/.f64 (/.f64 b (PI.f64)) (/.f64 1 a))
(/.f64 (*.f64 (/.f64 a (PI.f64)) b) 1)
(/.f64 1 (/.f64 (PI.f64) (*.f64 a b)))
(/.f64 (sqrt.f64 (/.f64 b (PI.f64))) (/.f64 1 (*.f64 (sqrt.f64 (/.f64 b (PI.f64))) a)))
(/.f64 (sqrt.f64 (.f64 (/.f64 a (PI.f64)) b)) (/.f64 1 (sqrt.f64 (.f64 (/.f64 a (PI.f64)) b))))
(/.f64 (sqrt.f64 a) (/.f64 (/.f64 (PI.f64) b) (sqrt.f64 a)))
(/.f64 (sqrt.f64 a) (/.f64 (PI.f64) (*.f64 (sqrt.f64 a) b)))
(/.f64 (sqrt.f64 a) (/.f64 1 (*.f64 (sqrt.f64 a) (/.f64 b (PI.f64)))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 b (PI.f64))) 2) (/.f64 1 (*.f64 (cbrt.f64 (/.f64 b (PI.f64))) a)))
(/.f64 (cbrt.f64 (.f64 (/.f64 a (PI.f64)) b)) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (/.f64 a (PI.f64)) b)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 a (PI.f64)) b)) 2) (/.f64 1 (cbrt.f64 (.f64 (/.f64 a (PI.f64)) b))))
(/.f64 (cbrt.f64 a) (/.f64 (/.f64 (PI.f64) b) (pow.f64 (cbrt.f64 a) 2)))
(/.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 (/.f64 (PI.f64) b) (cbrt.f64 a)))
(/.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 (PI.f64) (*.f64 (cbrt.f64 a) b)))
(/.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 1 (*.f64 (cbrt.f64 a) (/.f64 b (PI.f64)))))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (*.f64 a b) (/.f64 (PI.f64) 1))
(/.f64 (neg.f64 b) (/.f64 (neg.f64 (PI.f64)) a))
(/.f64 (sqrt.f64 (.f64 a b)) (/.f64 (PI.f64) (sqrt.f64 (.f64 a b))))
(/.f64 (.f64 (cbrt.f64 (.f64 a b)) (cbrt.f64 (.f64 a b))) (/.f64 (PI.f64) (cbrt.f64 (.f64 a b))))
(/.f64 (*.f64 a (sqrt.f64 b)) (/.f64 (PI.f64) (sqrt.f64 b)))
(/.f64 (*.f64 a (pow.f64 (cbrt.f64 b) 2)) (/.f64 (PI.f64) (cbrt.f64 b)))
(/.f64 (*.f64 a (sqrt.f64 (/.f64 b (PI.f64)))) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 b)))
(/.f64 (*.f64 a (pow.f64 (cbrt.f64 (/.f64 b (PI.f64))) 2)) (/.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 b)))
(/.f64 (*.f64 (/.f64 b (PI.f64)) (sqrt.f64 a)) (/.f64 1 (sqrt.f64 a)))
(/.f64 (*.f64 (/.f64 b (PI.f64)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 1 (cbrt.f64 a)))
(/.f64 (/.f64 a (/.f64 1 b)) (PI.f64))
(/.f64 (/.f64 a (/.f64 (sqrt.f64 (PI.f64)) b)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 a b) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (*.f64 a (neg.f64 b)) (neg.f64 (PI.f64)))
(/.f64 (.f64 (sqrt.f64 a) (sqrt.f64 b)) (/.f64 (PI.f64) (.f64 (sqrt.f64 a) (sqrt.f64 b))))
(/.f64 (/.f64 a 1) (/.f64 (PI.f64) b))
(/.f64 (/.f64 a (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) b))
(/.f64 (/.f64 a (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (cbrt.f64 (PI.f64)) b))
(pow.f64 (*.f64 (/.f64 a (PI.f64)) b) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 a (PI.f64)) b)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 a (PI.f64)) b)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 a (PI.f64)) b) 3) 1/3)
(neg.f64 (*.f64 (/.f64 b (PI.f64)) (neg.f64 a)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 a (PI.f64)) b) 2))
(log.f64 (pow.f64 (exp.f64 a) (/.f64 b (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a (PI.f64)) b))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 a (PI.f64)) b) 3))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 b (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 b (PI.f64)) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 a (PI.f64)) b)))
(exp.f64 (log.f64 (*.f64 (/.f64 a (PI.f64)) b)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 a (PI.f64)) b)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 a (PI.f64)) b)))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b))))) 1)
(/.f64 1/2 (.f64 b (.f64 (/.f64 a (PI.f64)) b)))
(/.f64 1/2 (.f64 (.f64 (/.f64 b (PI.f64)) (neg.f64 a)) (neg.f64 b)))
(/.f64 1/2 (.f64 (neg.f64 b) (.f64 (/.f64 b (PI.f64)) (neg.f64 a))))
(/.f64 1/2 (/.f64 (*.f64 (/.f64 a (PI.f64)) b) (/.f64 1 b)))
(/.f64 1/2 (/.f64 (*.f64 b (/.f64 b (PI.f64))) (/.f64 1 a)))
(/.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) b)
(/.f64 1 (*.f64 (/.f64 b (/.f64 1/2 a)) (/.f64 b (PI.f64))))
(/.f64 1 (/.f64 (.f64 (.f64 (/.f64 a (PI.f64)) b) 2) (/.f64 1 b)))
(/.f64 1 (/.f64 (/.f64 b (sqrt.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)))) (sqrt.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)))))
(/.f64 1 (/.f64 (.f64 b (cbrt.f64 (.f64 (.f64 (/.f64 a (PI.f64)) b) 2))) (cbrt.f64 (pow.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 2))))
(/.f64 1 (.f64 (/.f64 b (sqrt.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)))) (sqrt.f64 (.f64 (.f64 (/.f64 a (PI.f64)) b) 2))))
(/.f64 1 (.f64 (.f64 b (/.f64 b (PI.f64))) (/.f64 a 1/2)))
(/.f64 (/.f64 1 b) (.f64 (.f64 (/.f64 a (PI.f64)) b) 2))
(/.f64 (pow.f64 b -1/2) (/.f64 (.f64 (.f64 (/.f64 a (PI.f64)) b) 2) (pow.f64 b -1/2)))
(/.f64 (pow.f64 b -1/2) (/.f64 (.f64 (/.f64 a (PI.f64)) b) (.f64 (pow.f64 b -1/2) 1/2)))
(/.f64 (pow.f64 b -1/2) (.f64 (.f64 (*.f64 (/.f64 a (PI.f64)) b) 2) (sqrt.f64 b)))
(/.f64 (sqrt.f64 1/2) (/.f64 (/.f64 b (sqrt.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)))) (sqrt.f64 (/.f64 (PI.f64) (.f64 a b)))))
(/.f64 (sqrt.f64 1/2) (.f64 (/.f64 b (sqrt.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)))) (sqrt.f64 (*.f64 (/.f64 a (PI.f64)) b))))
(/.f64 (sqrt.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))) (/.f64 b (sqrt.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)))))
(/.f64 (/.f64 1 (cbrt.f64 b)) (/.f64 (.f64 (.f64 (/.f64 a (PI.f64)) b) 2) (cbrt.f64 (pow.f64 b -2))))
(/.f64 (cbrt.f64 (pow.f64 b -2)) (/.f64 (.f64 (.f64 (/.f64 a (PI.f64)) b) 2) (/.f64 1 (cbrt.f64 b))))
(/.f64 (cbrt.f64 (pow.f64 b -2)) (/.f64 (.f64 (/.f64 a (PI.f64)) b) (.f64 (/.f64 1 (cbrt.f64 b)) 1/2)))
(/.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))) (/.f64 b (cbrt.f64 (pow.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 2))))
(/.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))) (/.f64 (/.f64 b (sqrt.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)))) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))))))
(/.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))) (/.f64 (.f64 b (cbrt.f64 (.f64 (.f64 (/.f64 a (PI.f64)) b) 2))) (cbrt.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)))))
(/.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 2)) (.f64 b (cbrt.f64 (.f64 (.f64 (/.f64 a (PI.f64)) b) 2))))
(/.f64 (/.f64 1/2 b) (*.f64 (/.f64 a (PI.f64)) b))
(/.f64 (/.f64 1/2 a) (*.f64 b (/.f64 b (PI.f64))))
(/.f64 (/.f64 1/2 a) (/.f64 (/.f64 b (PI.f64)) (/.f64 1 b)))
(/.f64 (/.f64 1/2 a) (/.f64 b (/.f64 (PI.f64) b)))
(/.f64 (/.f64 1/2 a) (/.f64 (*.f64 (/.f64 b (PI.f64)) b) 1))
(/.f64 (/.f64 1/2 a) (/.f64 (*.f64 (/.f64 b (PI.f64)) (neg.f64 b)) -1))
(/.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 b 1/2))
(/.f64 -1 (.f64 (.f64 (*.f64 (/.f64 a (PI.f64)) b) 2) (neg.f64 b)))
(/.f64 -1 (.f64 (neg.f64 b) (.f64 (*.f64 (/.f64 a (PI.f64)) b) 2)))
(/.f64 -1 (/.f64 (.f64 (.f64 (/.f64 a (PI.f64)) b) 2) (/.f64 1 (neg.f64 b))))
(/.f64 -1 (/.f64 (neg.f64 b) (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))))
(/.f64 -1 (/.f64 (*.f64 (neg.f64 b) (/.f64 b (PI.f64))) (/.f64 1/2 a)))
(/.f64 -1 (.f64 b (.f64 (*.f64 (/.f64 a (PI.f64)) b) -2)))
(/.f64 -1/2 (.f64 b (.f64 (/.f64 b (PI.f64)) (neg.f64 a))))
(/.f64 -1/2 (/.f64 b (/.f64 1 (*.f64 (/.f64 b (PI.f64)) (neg.f64 a)))))
(/.f64 -1/2 (/.f64 (*.f64 (/.f64 b (PI.f64)) (neg.f64 a)) (/.f64 1 b)))
(/.f64 (sqrt.f64 (/.f64 1/2 a)) (/.f64 (*.f64 b (/.f64 b (PI.f64))) (sqrt.f64 (/.f64 1/2 a))))
(/.f64 (sqrt.f64 (/.f64 1/2 a)) (.f64 (/.f64 b (sqrt.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)))) (sqrt.f64 (/.f64 b (PI.f64)))))
(/.f64 (sqrt.f64 (sqrt.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)))) (/.f64 (/.f64 b (sqrt.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)))) (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))))))
(/.f64 (sqrt.f64 (/.f64 1/2 b)) (/.f64 (*.f64 (/.f64 a (PI.f64)) b) (sqrt.f64 (/.f64 1/2 b))))
(/.f64 (sqrt.f64 -1/2) (.f64 (/.f64 b (sqrt.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)))) (sqrt.f64 (*.f64 (/.f64 b (PI.f64)) (neg.f64 a)))))
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 2))) (/.f64 (/.f64 b (sqrt.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b))))))
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 2))) (/.f64 (.f64 b (cbrt.f64 (.f64 (.f64 (/.f64 a (PI.f64)) b) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 2)))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (/.f64 1/2 a))) (/.f64 (.f64 b (/.f64 b (PI.f64))) (cbrt.f64 (/.f64 1/2 a))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1/2 b)) (cbrt.f64 (/.f64 1/2 b))) (/.f64 (.f64 (/.f64 a (PI.f64)) b) (cbrt.f64 (/.f64 1/2 b))))
(/.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 2)))) (/.f64 (.f64 b (cbrt.f64 (.f64 (.f64 (/.f64 a (PI.f64)) b) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 2)))))
(/.f64 (*.f64 (/.f64 1 b) (/.f64 1/2 a)) (/.f64 b (PI.f64)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (.f64 (.f64 (*.f64 (/.f64 a (PI.f64)) b) 2) (cbrt.f64 b)))
(/.f64 (/.f64 1/2 (sqrt.f64 a)) (.f64 (.f64 b (/.f64 b (PI.f64))) (sqrt.f64 a)))
(/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 a) 2)) (.f64 (.f64 b (/.f64 b (PI.f64))) (cbrt.f64 a)))
(/.f64 (/.f64 1/2 (.f64 (sqrt.f64 b) (.f64 (/.f64 a (PI.f64)) b))) (sqrt.f64 b))
(/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (PI.f64) (*.f64 a b)))) (cbrt.f64 b))
(/.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b)) a)
(/.f64 (/.f64 1/2 (.f64 (sqrt.f64 (.f64 (/.f64 a (PI.f64)) b)) b)) (sqrt.f64 (*.f64 (/.f64 a (PI.f64)) b)))
(/.f64 (/.f64 (/.f64 1/2 b) (pow.f64 (cbrt.f64 (.f64 (/.f64 a (PI.f64)) b)) 2)) (cbrt.f64 (.f64 (/.f64 a (PI.f64)) b)))
(/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 a b))
(/.f64 (/.f64 1/2 (sqrt.f64 (.f64 (/.f64 a (PI.f64)) b))) (.f64 b (sqrt.f64 (*.f64 (/.f64 a (PI.f64)) b))))
(/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (.f64 (/.f64 a (PI.f64)) b)) 2)) (.f64 b (cbrt.f64 (*.f64 (/.f64 a (PI.f64)) b))))
(/.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 b (PI.f64)))
(/.f64 (.f64 (/.f64 1/2 a) (sqrt.f64 (/.f64 (PI.f64) b))) (.f64 b (sqrt.f64 (/.f64 b (PI.f64)))))
(/.f64 (/.f64 1/2 (.f64 (pow.f64 (cbrt.f64 (/.f64 b (PI.f64))) 2) a)) (.f64 b (cbrt.f64 (/.f64 b (PI.f64)))))
(/.f64 (/.f64 (/.f64 1/2 a) (neg.f64 b)) (/.f64 b (neg.f64 (PI.f64))))
(/.f64 (.f64 (/.f64 1/2 a) 1) (.f64 (/.f64 b (PI.f64)) b))
(/.f64 (.f64 (/.f64 1/2 a) -1) (.f64 (/.f64 b (PI.f64)) (neg.f64 b)))
(/.f64 (.f64 (/.f64 (PI.f64) (.f64 a b)) -1/2) (neg.f64 b))
(/.f64 (neg.f64 (/.f64 1/2 b)) (*.f64 (/.f64 b (PI.f64)) (neg.f64 a)))
(/.f64 (neg.f64 (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 b (PI.f64))))
(/.f64 (neg.f64 (/.f64 1/2 a)) (*.f64 b (neg.f64 (/.f64 b (PI.f64)))))
(/.f64 (pow.f64 (sqrt.f64 b) -1) (/.f64 (.f64 (.f64 (/.f64 a (PI.f64)) b) 2) (pow.f64 (sqrt.f64 b) -1)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 b) 2) -1) (/.f64 (.f64 (.f64 (/.f64 a (PI.f64)) b) 2) (pow.f64 (cbrt.f64 b) -1)))
(pow.f64 (.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b))) 1)
(pow.f64 (sqrt.f64 (.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))) 2)
(pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))) 3)
(pow.f64 (pow.f64 (.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b))) 2))
(log.f64 (exp.f64 (.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b))))))
(cbrt.f64 (pow.f64 (.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 3) (/.f64 (pow.f64 b -2) b)))
(cbrt.f64 (.f64 (/.f64 (pow.f64 b -2) b) (pow.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 3) (pow.f64 b 3)))
(expm1.f64 (log1p.f64 (.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))))
(exp.f64 (log.f64 (.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a b)))) 1))
(log1p.f64 (expm1.f64 (.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))))

Outputs
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a b)))
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 a (/.f64 (PI.f64) b))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 a (/.f64 (PI.f64) b))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 a (/.f64 (PI.f64) b))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 a (/.f64 (PI.f64) b))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 a (/.f64 (PI.f64) b))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 a (/.f64 (PI.f64) b))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 a (/.f64 (PI.f64) b))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 a (/.f64 (PI.f64) b))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 a (/.f64 (PI.f64) b))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 a (/.f64 (PI.f64) b))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 a (/.f64 (PI.f64) b))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 a (/.f64 (PI.f64) b))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 a (/.f64 (PI.f64) b))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 a (/.f64 (PI.f64) b))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 a (/.f64 (PI.f64) b))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 a (/.f64 (PI.f64) b))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 a (/.f64 (PI.f64) b))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 a (/.f64 (PI.f64) b))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 a (/.f64 (PI.f64) b))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 a (/.f64 (PI.f64) b))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 a (/.f64 (PI.f64) b))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 a (/.f64 (PI.f64) b))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 a (/.f64 (PI.f64) b))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 a (/.f64 (PI.f64) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1/2 a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
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(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1/2 a) b))
(pow.f64 (pow.f64 (.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b))) 3) 1/3)
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1/2 a) b))
(sqrt.f64 (pow.f64 (.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) 2))
(fabs.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1/2 a) b)))
(log.f64 (exp.f64 (.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1/2 a) b))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b))))))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1/2 a) b))
(cbrt.f64 (pow.f64 (.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b))) 3))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1/2 a) b))
(cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 3) (/.f64 (pow.f64 b -2) b)))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1/2 a) b))
(cbrt.f64 (.f64 (/.f64 (pow.f64 b -2) b) (pow.f64 (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 3)))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1/2 a) b))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) b)) 3) (pow.f64 b 3)))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1/2 a) b))
(expm1.f64 (log1p.f64 (.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1/2 a) b))
(exp.f64 (log.f64 (.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1/2 a) b))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a b)))) 1))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1/2 a) b))
(log1p.f64 (expm1.f64 (.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1/2 a) b))

eval404.0ms (3.1%)

Compiler: Compiled 22091 to 10242 computations (53.6% saved)

prune464.0ms (3.6%)

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	1303	0	1303
Fresh	0	3	3
Picked	0	1	1
Done	0	9	9
Total	1303	13	1316

Error

Counts

1316 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	40.32%	(/.f64 (/.f64 (/.f64 (PI.f64) a) (/.f64 a 1/2)) b)
✓	40.58%	(/.f64 (/.f64 1/2 b) (*.f64 (/.f64 a (PI.f64)) a))
	34.89%	(/.f64 (/.f64 1/2 a) (/.f64 b (/.f64 (PI.f64) a)))
✓	47.55%	(/.f64 (.f64 (/.f64 1/2 (.f64 b b)) (PI.f64)) a)
✓	40.52%	(/.f64 (.f64 (PI.f64) 1/2) (.f64 b (*.f64 a a)))
✓	41.14%	(/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 b a))
✓	41.15%	(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))
✓	47.48%	(/.f64 1/2 (*.f64 (/.f64 b (/.f64 (PI.f64) b)) a))
	34.9%	(/.f64 1/2 (.f64 (/.f64 a (PI.f64)) (.f64 a b)))
✓	41.15%	(/.f64 1/2 (.f64 (.f64 (/.f64 b (PI.f64)) a) b))
✓	5.8%	(.f64 (/.f64 (/.f64 (PI.f64) (.f64 a (+.f64 b a))) b) 1/2)
✓	34.94%	(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
✓	41.23%	(.f64 (/.f64 1 b) (/.f64 1/2 (.f64 a (/.f64 b (PI.f64)))))

Compiler

Compiled 147 to 107 computations (27.2% saved)

regimes64.0ms (0.5%)

Counts

39 → 1

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 a))
(.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))
(.f64 (/.f64 (/.f64 1/2 b) (.f64 b a)) (PI.f64))
(/.f64 1/2 (.f64 (.f64 (/.f64 b (PI.f64)) a) b))
(/.f64 1/2 (.f64 (/.f64 a (PI.f64)) (.f64 a b)))
(/.f64 1/2 (*.f64 (/.f64 b (/.f64 (PI.f64) b)) a))
(/.f64 1/2 (/.f64 (.f64 a (.f64 a b)) (PI.f64)))
(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 a b)))
(/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 b a))
(/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 b a))
(/.f64 (.f64 (PI.f64) 1/2) (.f64 a (*.f64 a b)))
(/.f64 (.f64 (PI.f64) 1/2) (.f64 a (*.f64 b b)))
(/.f64 (.f64 (PI.f64) 1/2) (.f64 b (*.f64 a a)))
(/.f64 (.f64 (/.f64 1/2 (.f64 b b)) (PI.f64)) a)
(/.f64 (/.f64 1/2 a) (/.f64 b (/.f64 (PI.f64) a)))
(/.f64 (/.f64 1/2 b) (*.f64 (/.f64 a (PI.f64)) a))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) (/.f64 a 1/2)) b)
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a (+.f64 a b)))))
(.f64 (/.f64 1 b) (/.f64 1/2 (.f64 a (/.f64 b (PI.f64)))))
(.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 1 (.f64 a b)) b))
(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
(.f64 (/.f64 (/.f64 (PI.f64) (.f64 a (+.f64 b a))) b) 1/2)
(/.f64 (/.f64 1/2 a) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) b))
(/.f64 (/.f64 1/2 b) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a))
(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
(.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 1 a) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (/.f64 1/2 (/.f64 (+.f64 a b) (PI.f64))) (/.f64 (/.f64 (-.f64 a b) (.f64 a b)) (-.f64 a b)))
(.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (/.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 b b) (*.f64 a a))) (+.f64 (/.f64 1 a) (/.f64 -1 b)))
(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(.f64 (/.f64 (PI.f64) 2) (.f64 (/.f64 1 (-.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b))))
(/.f64 1/2 (pow.f64 (sqrt.f64 (.f64 (/.f64 b (PI.f64)) (.f64 b a))) 2))
(.f64 (/.f64 (PI.f64) 2) (pow.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 a b) (*.f64 a b)))) 2))
(.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 (.f64 b b) (*.f64 a a))) 1/2)
(/.f64 (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (+.f64 b a)) (-.f64 b a))

Outputs
(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))

Calls

3 calls:

23.0ms	b
18.0ms	a
13.0ms	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

Results

Error	Segments	Branch
0.31%	1	`a`
0.31%	1	`b`
0.31%	1	`(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))`

Compiler

Compiled 486 to 233 computations (52.1% saved)

regimes36.0ms (0.3%)

Counts

28 → 1

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 a))
(.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))
(.f64 (/.f64 (/.f64 1/2 b) (.f64 b a)) (PI.f64))
(/.f64 1/2 (.f64 (.f64 (/.f64 b (PI.f64)) a) b))
(/.f64 1/2 (.f64 (/.f64 a (PI.f64)) (.f64 a b)))
(/.f64 1/2 (*.f64 (/.f64 b (/.f64 (PI.f64) b)) a))
(/.f64 1/2 (/.f64 (.f64 a (.f64 a b)) (PI.f64)))
(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 a b)))
(/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 b a))
(/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 b a))
(/.f64 (.f64 (PI.f64) 1/2) (.f64 a (*.f64 a b)))
(/.f64 (.f64 (PI.f64) 1/2) (.f64 a (*.f64 b b)))
(/.f64 (.f64 (PI.f64) 1/2) (.f64 b (*.f64 a a)))
(/.f64 (.f64 (/.f64 1/2 (.f64 b b)) (PI.f64)) a)
(/.f64 (/.f64 1/2 a) (/.f64 b (/.f64 (PI.f64) a)))
(/.f64 (/.f64 1/2 b) (*.f64 (/.f64 a (PI.f64)) a))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) (/.f64 a 1/2)) b)
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a (+.f64 a b)))))
(.f64 (/.f64 1 b) (/.f64 1/2 (.f64 a (/.f64 b (PI.f64)))))
(.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 1 (.f64 a b)) b))
(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
(.f64 (/.f64 (/.f64 (PI.f64) (.f64 a (+.f64 b a))) b) 1/2)
(/.f64 (/.f64 1/2 a) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) b))
(/.f64 (/.f64 1/2 b) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a))

Outputs
(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))

Calls

2 calls:

16.0ms	b
14.0ms	a

Results

Error	Segments	Branch
0.44%	1	`a`
0.44%	1	`b`

Compiler

Compiled 274 to 130 computations (52.6% saved)

regimes66.0ms (0.5%)

Counts

24 → 3

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 a))
(.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))
(.f64 (/.f64 (/.f64 1/2 b) (.f64 b a)) (PI.f64))
(/.f64 1/2 (.f64 (.f64 (/.f64 b (PI.f64)) a) b))
(/.f64 1/2 (.f64 (/.f64 a (PI.f64)) (.f64 a b)))
(/.f64 1/2 (*.f64 (/.f64 b (/.f64 (PI.f64) b)) a))
(/.f64 1/2 (/.f64 (.f64 a (.f64 a b)) (PI.f64)))
(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 a b)))
(/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 b a))
(/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 b a))
(/.f64 (.f64 (PI.f64) 1/2) (.f64 a (*.f64 a b)))
(/.f64 (.f64 (PI.f64) 1/2) (.f64 a (*.f64 b b)))
(/.f64 (.f64 (PI.f64) 1/2) (.f64 b (*.f64 a a)))
(/.f64 (.f64 (/.f64 1/2 (.f64 b b)) (PI.f64)) a)
(/.f64 (/.f64 1/2 a) (/.f64 b (/.f64 (PI.f64) a)))
(/.f64 (/.f64 1/2 b) (*.f64 (/.f64 a (PI.f64)) a))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) (/.f64 a 1/2)) b)
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a (+.f64 a b)))))
(.f64 (/.f64 1 b) (/.f64 1/2 (.f64 a (/.f64 b (PI.f64)))))
(.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 1 (.f64 a b)) b))

Outputs
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a (+.f64 a b)))))
(/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 b a))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 a (+.f64 a b)))))

Calls

2 calls:

37.0ms	b
24.0ms	a

Results

Error	Segments	Branch
2.02%	2	`a`
0.55%	3	`b`

Compiler

Compiled 230 to 111 computations (51.7% saved)

bsearch53.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.3878894637486054e-132	3.6535443868437694e-132
40.0ms	-4.955860642921271e-94	-2.5602461820094324e-117

Results

40.0ms	240×	body	256	valid
9.0ms	69×	body	256	infinite

Compiler

Compiled 418 to 306 computations (26.8% saved)

regimes80.0ms (0.6%)

Counts

21 → 3

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 a))
(.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))
(.f64 (/.f64 (/.f64 1/2 b) (.f64 b a)) (PI.f64))
(/.f64 1/2 (.f64 (.f64 (/.f64 b (PI.f64)) a) b))
(/.f64 1/2 (.f64 (/.f64 a (PI.f64)) (.f64 a b)))
(/.f64 1/2 (*.f64 (/.f64 b (/.f64 (PI.f64) b)) a))
(/.f64 1/2 (/.f64 (.f64 a (.f64 a b)) (PI.f64)))
(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 a b)))
(/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 b a))
(/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 b a))
(/.f64 (.f64 (PI.f64) 1/2) (.f64 a (*.f64 a b)))
(/.f64 (.f64 (PI.f64) 1/2) (.f64 a (*.f64 b b)))
(/.f64 (.f64 (PI.f64) 1/2) (.f64 b (*.f64 a a)))
(/.f64 (.f64 (/.f64 1/2 (.f64 b b)) (PI.f64)) a)
(/.f64 (/.f64 1/2 a) (/.f64 b (/.f64 (PI.f64) a)))
(/.f64 (/.f64 1/2 b) (*.f64 (/.f64 a (PI.f64)) a))
(/.f64 (/.f64 1/2 (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 (/.f64 (/.f64 (PI.f64) a) (/.f64 a 1/2)) b)

Outputs
(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))
(/.f64 (/.f64 1/2 a) (/.f64 b (/.f64 (PI.f64) a)))
(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))

Calls

2 calls:

41.0ms	a
32.0ms	b

Results

Error	Segments	Branch
8.93%	3	`a`
7.38%	3	`b`

Compiler

Compiled 197 to 93 computations (52.8% saved)

bsearch41.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	8.696230483304953e-36	3.5618310029061207e-34
23.0ms	-2.4675840154648783e-23	-6.372834680553461e-30

Results

36.0ms	256×	body	256	valid
1.0ms	8×	body	256	infinite

Compiler

Compiled 412 to 309 computations (25% saved)

regimes68.0ms (0.5%)

Counts

17 → 3

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 a))
(.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))
(.f64 (/.f64 (/.f64 1/2 b) (.f64 b a)) (PI.f64))
(/.f64 1/2 (.f64 (.f64 (/.f64 b (PI.f64)) a) b))
(/.f64 1/2 (.f64 (/.f64 a (PI.f64)) (.f64 a b)))
(/.f64 1/2 (*.f64 (/.f64 b (/.f64 (PI.f64) b)) a))
(/.f64 1/2 (/.f64 (.f64 a (.f64 a b)) (PI.f64)))
(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 a b)))
(/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 b a))
(/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 b a))
(/.f64 (.f64 (PI.f64) 1/2) (.f64 a (*.f64 a b)))
(/.f64 (.f64 (PI.f64) 1/2) (.f64 a (*.f64 b b)))
(/.f64 (.f64 (PI.f64) 1/2) (.f64 b (*.f64 a a)))
(/.f64 (.f64 (/.f64 1/2 (.f64 b b)) (PI.f64)) a)

Outputs
(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))
(/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 b a))
(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))

Calls

2 calls:

37.0ms	a
28.0ms	b

Results

Error	Segments	Branch
8.93%	3	`a`
7.39%	3	`b`

Compiler

Compiled 161 to 77 computations (52.2% saved)

bsearch45.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	8.696230483304953e-36	3.5618310029061207e-34
26.0ms	-2.4675840154648783e-23	-6.372834680553461e-30

Results

40.0ms	256×	body	256	valid
1.0ms	9×	body	256	infinite

Compiler

Compiled 412 to 309 computations (25% saved)

regimes48.0ms (0.4%)

Counts

11 → 3

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 a))
(.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))
(.f64 (/.f64 (/.f64 1/2 b) (.f64 b a)) (PI.f64))
(/.f64 1/2 (.f64 (.f64 (/.f64 b (PI.f64)) a) b))
(/.f64 1/2 (.f64 (/.f64 a (PI.f64)) (.f64 a b)))
(/.f64 1/2 (*.f64 (/.f64 b (/.f64 (PI.f64) b)) a))
(/.f64 1/2 (/.f64 (.f64 a (.f64 a b)) (PI.f64)))
(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 a b)))

Outputs
(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))
(/.f64 1/2 (.f64 (/.f64 a (PI.f64)) (.f64 a b)))
(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))

Calls

2 calls:

26.0ms	a
19.0ms	b

Results

Error	Segments	Branch
8.96%	3	`a`
7.4%	3	`b`

Compiler

Compiled 107 to 56 computations (47.7% saved)

bsearch41.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	8.696230483304953e-36	3.5618310029061207e-34
23.0ms	-2.4675840154648783e-23	-6.372834680553461e-30

Results

35.0ms	256×	body	256	valid
1.0ms	10×	body	256	infinite

Compiler

Compiled 412 to 309 computations (25% saved)

regimes43.0ms (0.3%)

Counts

9 → 3

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 a))
(.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))
(.f64 (/.f64 (/.f64 1/2 b) (.f64 b a)) (PI.f64))
(/.f64 1/2 (.f64 (.f64 (/.f64 b (PI.f64)) a) b))
(/.f64 1/2 (.f64 (/.f64 a (PI.f64)) (.f64 a b)))
(/.f64 1/2 (*.f64 (/.f64 b (/.f64 (PI.f64) b)) a))
(/.f64 1/2 (/.f64 (.f64 a (.f64 a b)) (PI.f64)))

Outputs
(/.f64 1/2 (.f64 (.f64 (/.f64 b (PI.f64)) a) b))
(/.f64 1/2 (.f64 (/.f64 a (PI.f64)) (.f64 a b)))
(/.f64 1/2 (.f64 (.f64 (/.f64 b (PI.f64)) a) b))

Calls

2 calls:

23.0ms	a
18.0ms	b

Results

Error	Segments	Branch
8.97%	3	`a`
7.42%	3	`b`

Compiler

Compiled 89 to 49 computations (44.9% saved)

bsearch42.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	8.696230483304953e-36	3.5618310029061207e-34
24.0ms	-2.4675840154648783e-23	-6.372834680553461e-30

Results

37.0ms	256×	body	256	valid
2.0ms	14×	body	256	infinite

Compiler

Compiled 412 to 309 computations (25% saved)

regimes52.0ms (0.4%)

Counts

6 → 3

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 a))
(.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))
(.f64 (/.f64 (/.f64 1/2 b) (.f64 b a)) (PI.f64))
(/.f64 1/2 (.f64 (.f64 (/.f64 b (PI.f64)) a) b))

Outputs
(/.f64 1/2 (.f64 (.f64 (/.f64 b (PI.f64)) a) b))
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
(/.f64 1/2 (.f64 (.f64 (/.f64 b (PI.f64)) a) b))

Calls

2 calls:

36.0ms	a
14.0ms	b

Results

Error	Segments	Branch
9%	3	`a`
7.44%	3	`b`

Compiler

Compiled 62 to 36 computations (41.9% saved)

bsearch41.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	8.696230483304953e-36	3.5618310029061207e-34
22.0ms	-2.4675840154648783e-23	-6.372834680553461e-30

Results

34.0ms	256×	body	256	valid
1.0ms	11×	body	256	infinite

Compiler

Compiled 412 to 309 computations (25% saved)

regimes34.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 a))
(.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))
(.f64 (/.f64 (/.f64 1/2 b) (.f64 b a)) (PI.f64))

Outputs
(.f64 (/.f64 (/.f64 1/2 b) (.f64 b a)) (PI.f64))
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
(.f64 (/.f64 (/.f64 1/2 b) (.f64 b a)) (PI.f64))

Calls

2 calls:

18.0ms	a
14.0ms	b

Results

Error	Segments	Branch
9.04%	3	`a`
7.5%	3	`b`

Compiler

Compiled 53 to 31 computations (41.5% saved)

bsearch44.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	8.696230483304953e-36	3.5618310029061207e-34
23.0ms	-2.4675840154648783e-23	-6.372834680553461e-30

Results

39.0ms	256×	body	256	valid
1.0ms	7×	body	256	infinite

Compiler

Compiled 412 to 309 computations (25% saved)

regimes32.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 a))
(.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))

Outputs
(.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))

Calls

2 calls:

15.0ms	a
15.0ms	b

Results

Error	Segments	Branch
15.26%	3	`a`
13.72%	3	`b`

Compiler

Compiled 44 to 27 computations (38.6% saved)

bsearch44.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	8.696230483304953e-36	3.5618310029061207e-34
23.0ms	-2.4675840154648783e-23	-6.372834680553461e-30

Results

39.0ms	256×	body	256	valid
1.0ms	9×	body	256	infinite

Compiler

Compiled 412 to 309 computations (25% saved)

regimes8.0ms (0.1%)

Accuracy

Total -3.7b remaining (-16.6%)

Threshold costs -3.7b (-16.6%)

Counts

3 → 1

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 a))

Outputs
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))

Calls

2 calls:

4.0ms	a
3.0ms	b

Results

Error	Segments	Branch
34.94%	1	`a`
34.94%	1	`b`

Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative`
16×	`if-if-or-not`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	758
1	119	758

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
(if (<=.f64 b -6618305728300635/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (.f64 1/2 (/.f64 (PI.f64) (.f64 b (.f64 a (+.f64 a b))))) (if (<=.f64 b 5754006927942437/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 b a)) (.f64 1/2 (/.f64 (PI.f64) (.f64 b (.f64 a (+.f64 a b)))))))
(if (<=.f64 b -521057374347687/21267647932558653966460912964485513216) (/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64))) (if (<=.f64 b 63940696633227/182687704666362864775460604089535377456991567872) (/.f64 (/.f64 1/2 a) (/.f64 b (/.f64 (PI.f64) a))) (/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))))
(if (<=.f64 b -521057374347687/21267647932558653966460912964485513216) (/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64))) (if (<=.f64 b 63940696633227/182687704666362864775460604089535377456991567872) (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 b a)) (/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))))
(if (<=.f64 b -8166776806102523/340282366920938463463374607431768211456) (/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64))) (if (<=.f64 b 63940696633227/182687704666362864775460604089535377456991567872) (/.f64 1/2 (.f64 (/.f64 a (PI.f64)) (.f64 a b))) (/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))))
(if (<=.f64 b -1565298887836317/170141183460469231731687303715884105728) (/.f64 1/2 (.f64 (.f64 (/.f64 b (PI.f64)) a) b)) (if (<=.f64 b 63940696633227/182687704666362864775460604089535377456991567872) (/.f64 1/2 (.f64 (/.f64 a (PI.f64)) (.f64 a b))) (/.f64 1/2 (.f64 (.f64 (/.f64 b (PI.f64)) a) b))))
(if (<=.f64 b -521057374347687/21267647932558653966460912964485513216) (/.f64 1/2 (.f64 (.f64 (/.f64 b (PI.f64)) a) b)) (if (<=.f64 b 63940696633227/182687704666362864775460604089535377456991567872) (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b))) (/.f64 1/2 (.f64 (.f64 (/.f64 b (PI.f64)) a) b))))
(if (<=.f64 b -521057374347687/21267647932558653966460912964485513216) (.f64 (/.f64 (/.f64 1/2 b) (.f64 b a)) (PI.f64)) (if (<=.f64 b 63940696633227/182687704666362864775460604089535377456991567872) (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b))) (.f64 (/.f64 (/.f64 1/2 b) (.f64 b a)) (PI.f64))))
(if (<=.f64 b -7826494439181585/340282366920938463463374607431768211456) (.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a)) (if (<=.f64 b 3390683798607695/11692013098647223345629478661730264157247460343808) (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b))) (.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))))
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))

Outputs
(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
(.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (.f64 b a)))
(if (<=.f64 b -6618305728300635/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (.f64 1/2 (/.f64 (PI.f64) (.f64 b (.f64 a (+.f64 a b))))) (if (<=.f64 b 5754006927942437/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 b a)) (.f64 1/2 (/.f64 (PI.f64) (.f64 b (.f64 a (+.f64 a b)))))))
(if (or (<=.f64 b -6618305728300635/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (not (<=.f64 b 5754006927942437/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112))) (.f64 1/2 (/.f64 (PI.f64) (.f64 b (.f64 a (+.f64 b a))))) (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (*.f64 b a)))
(if (<=.f64 b -521057374347687/21267647932558653966460912964485513216) (/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64))) (if (<=.f64 b 63940696633227/182687704666362864775460604089535377456991567872) (/.f64 (/.f64 1/2 a) (/.f64 b (/.f64 (PI.f64) a))) (/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))))
(if (or (<=.f64 b -521057374347687/21267647932558653966460912964485513216) (not (<=.f64 b 63940696633227/182687704666362864775460604089535377456991567872))) (/.f64 1/2 (/.f64 (.f64 b (.f64 b a)) (PI.f64))) (/.f64 (/.f64 1/2 a) (/.f64 b (/.f64 (PI.f64) a))))
(if (<=.f64 b -521057374347687/21267647932558653966460912964485513216) (/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64))) (if (<=.f64 b 63940696633227/182687704666362864775460604089535377456991567872) (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 b a)) (/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))))
(if (or (<=.f64 b -521057374347687/21267647932558653966460912964485513216) (not (<=.f64 b 63940696633227/182687704666362864775460604089535377456991567872))) (/.f64 1/2 (/.f64 (.f64 b (.f64 b a)) (PI.f64))) (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 b a)))
(if (<=.f64 b -8166776806102523/340282366920938463463374607431768211456) (/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64))) (if (<=.f64 b 63940696633227/182687704666362864775460604089535377456991567872) (/.f64 1/2 (.f64 (/.f64 a (PI.f64)) (.f64 a b))) (/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))))
(if (or (<=.f64 b -8166776806102523/340282366920938463463374607431768211456) (not (<=.f64 b 63940696633227/182687704666362864775460604089535377456991567872))) (/.f64 1/2 (/.f64 (.f64 b (.f64 b a)) (PI.f64))) (/.f64 1/2 (.f64 (.f64 b a) (/.f64 a (PI.f64)))))
(if (<=.f64 b -1565298887836317/170141183460469231731687303715884105728) (/.f64 1/2 (.f64 (.f64 (/.f64 b (PI.f64)) a) b)) (if (<=.f64 b 63940696633227/182687704666362864775460604089535377456991567872) (/.f64 1/2 (.f64 (/.f64 a (PI.f64)) (.f64 a b))) (/.f64 1/2 (.f64 (.f64 (/.f64 b (PI.f64)) a) b))))
(if (or (<=.f64 b -1565298887836317/170141183460469231731687303715884105728) (not (<=.f64 b 63940696633227/182687704666362864775460604089535377456991567872))) (/.f64 1/2 (.f64 b (.f64 a (/.f64 b (PI.f64))))) (/.f64 1/2 (.f64 (.f64 b a) (/.f64 a (PI.f64)))))
(if (<=.f64 b -521057374347687/21267647932558653966460912964485513216) (/.f64 1/2 (.f64 (.f64 (/.f64 b (PI.f64)) a) b)) (if (<=.f64 b 63940696633227/182687704666362864775460604089535377456991567872) (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b))) (/.f64 1/2 (.f64 (.f64 (/.f64 b (PI.f64)) a) b))))
(if (or (<=.f64 b -521057374347687/21267647932558653966460912964485513216) (not (<=.f64 b 63940696633227/182687704666362864775460604089535377456991567872))) (/.f64 1/2 (.f64 b (.f64 a (/.f64 b (PI.f64))))) (.f64 (/.f64 1/2 (.f64 b a)) (/.f64 (PI.f64) a)))
(if (<=.f64 b -521057374347687/21267647932558653966460912964485513216) (.f64 (/.f64 (/.f64 1/2 b) (.f64 b a)) (PI.f64)) (if (<=.f64 b 63940696633227/182687704666362864775460604089535377456991567872) (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b))) (.f64 (/.f64 (/.f64 1/2 b) (.f64 b a)) (PI.f64))))
(if (or (<=.f64 b -521057374347687/21267647932558653966460912964485513216) (not (<=.f64 b 63940696633227/182687704666362864775460604089535377456991567872))) (.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 b a))) (.f64 (/.f64 1/2 (.f64 b a)) (/.f64 (PI.f64) a)))
(if (<=.f64 b -7826494439181585/340282366920938463463374607431768211456) (.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a)) (if (<=.f64 b 3390683798607695/11692013098647223345629478661730264157247460343808) (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b))) (.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))))
(if (or (<=.f64 b -7826494439181585/340282366920938463463374607431768211456) (not (<=.f64 b 3390683798607695/11692013098647223345629478661730264157247460343808))) (.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (.f64 b b))) (.f64 (/.f64 1/2 (.f64 b a)) (/.f64 (PI.f64) a)))
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
(.f64 (/.f64 1/2 (.f64 b a)) (/.f64 (PI.f64) a))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))

Compiler

Compiled 282 to 192 computations (31.9% saved)

soundness107.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1242×	`associate-/l*`
702×	`associate-/r*`
676×	`distribute-rgt-neg-out`
668×	`distribute-frac-neg`
612×	`distribute-lft-neg-out`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	63
1	41	57
2	107	57
3	419	57
4	1535	55
5	5204	55

Stop Event

1×	node limit

Compiler

Compiled 122 to 66 computations (45.9% saved)

end93.0ms (0.7%)

Compiler: Compiled 260 to 132 computations (49.2% saved)