Details

analyze148.0ms (1.3%)

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)

sample1.2s (10.6%)

Results

1.1s	8256×	body	256	valid
99.0ms	711×	body	256	infinite

Bogosity

preprocess69.0ms (0.6%)

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)

simplify52.0ms (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)

prune6.0ms (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

0.51%

Counts

7 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.73%	(/.f64 (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (+.f64 b a)) (-.f64 b a))
	21.84%	(.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 (.f64 b b) (*.f64 a a))) 1/2)
▶	21.94%	(.f64 (/.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 b b) (*.f64 a a))) (+.f64 (/.f64 1 a) (/.f64 -1 b)))
▶	21.97%	(.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (*.f64 a a))))
▶	22.03%	(.f64 (/.f64 (PI.f64) 2) (.f64 (/.f64 1 (-.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b))))
▶	22.02%	(.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)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.19%	(fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))
✓	0.25%	(/.f64 (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (+.f64 b a)) (-.f64 b a))
✓	0.39%	(/.f64 (PI.f64) a)
✓	0.73%	(/.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)

series14.0ms (0.1%)

Counts

4 → 72

Calls

21 calls:

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

rewrite116.0ms (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)
(/.f64 (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (+.f64 b a)) (-.f64 b a))
(fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) 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 a))) b) (.f64 (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b a))) (neg.f64 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 a))) b) (.f64 (.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) 1)))))) (#(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 a))) (neg.f64 a)) (.f64 (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 b 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 b 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 a (-.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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simplify122.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1724×	`associate-r`
1218×	`associate-/l*`
900×	`*-commutative`
716×	`associate-*r/`
508×	`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 → 341

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

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 (/.f64 1 a) (/.f64 -1 b))
✓	0.27%	(.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (*.f64 a a))))
✓	7.18%	(-.f64 (.f64 b b) (.f64 a a))
✓	14.01%	(/.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 (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(-.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	@	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 (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))))

rewrite146.0ms (1.3%)

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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simplify146.0ms (1.3%)

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))

localize22.0ms (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)))
	7.18%	(-.f64 (.f64 b b) (.f64 a a))
✓	13.45%	(.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)))

rewrite113.0ms (1%)

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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simplify108.0ms (0.9%)

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)))))

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.26%	(.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))))
✓	1%	(/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))
	7.18%	(-.f64 (.f64 b b) (.f64 a a))
✓	13.45%	(.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)

series4.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite120.0ms (1%)

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)))))))

simplify129.0ms (1.1%)

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))))

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.27%	(.f64 (/.f64 (PI.f64) 2) (.f64 (/.f64 1 (-.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b))))
	1%	(/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))
	7.18%	(-.f64 (.f64 b b) (.f64 a a))
✓	13.42%	(.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	@	-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	@	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	@	0	(.f64 (/.f64 (PI.f64) 2) (.f64 (/.f64 1 (-.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b))))

rewrite116.0ms (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 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simplify162.0ms (1.4%)

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))))

eval1.2s (10.5%)

Compiler: Compiled 73959 to 36981 computations (50% saved)

prune1.0s (8.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	2411	13	2424
Fresh	1	0	1
Picked	1	0	1
Done	4	0	4
Total	2417	13	2430

Error

0.01%

Counts

2430 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	28.8%	(/.f64 (/.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) b) 2) (+.f64 b a)) (-.f64 b a))
▶	26.26%	(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) 2) (+.f64 b a)) (-.f64 b a))
▶	0.28%	(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
	21.99%	(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (/.f64 2 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a)))))
▶	42.17%	(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 a b)))
	35.9%	(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))
	42.2%	(/.f64 1/2 (/.f64 (.f64 a (.f64 a b)) (PI.f64)))
	0.34%	(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
▶	43.01%	(.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))
	47.93%	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
	35.46%	(.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 1 (.f64 a b)) b))
	47.77%	(.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)))
▶	42.77%	(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))

Compiler

Compiled 336 to 240 computations (28.6% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.29%	(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
✓	0.38%	(/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a))

Compiler

Compiled 33 to 15 computations (54.5% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a))
0.0ms	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 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
0.0ms	a	@	0	(/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a))

rewrite97.0ms (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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(fma.f64 b b (neg.f64 (*.f64 a a)))) (*.f64 -1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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 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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)))))))))

simplify154.0ms (1.3%)

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 3 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))
✓	1.22%	(/.f64 (PI.f64) (.f64 a (.f64 b b)))
✓	10.6%	(.f64 a (.f64 b b))

Compiler

Compiled 30 to 9 computations (70% saved)

series5.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite98.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1674×	`associate-*r/`
1504×	`associate-/l*`
1376×	`associate-*l/`
234×	`add-sqr-sqrt`
228×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	229	61
2	3023	61

Stop Event

1×	node limit

Counts

3 → 169

Calls

Call 1

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

Outputs

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

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

simplify106.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1218×	`associate-/l*`
1028×	`distribute-lft-in`
1026×	`distribute-rgt-in`
930×	`times-frac`
716×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	421	6493
1	1146	6395
2	5818	6395

Stop Event

1×	node limit

Counts

241 → 216

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.68%	(/.f64 (PI.f64) (*.f64 b b))
✓	11.32%	(.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite111.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1544×	`associate-/l*`
1038×	`unswap-sqr`
798×	`swap-sqr`
350×	`associate-/l/`
312×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	239	42
2	3306	42

Stop Event

1×	node limit

Counts

2 → 217

Calls

Call 1

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

Outputs

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

simplify152.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1280×	`associate-/r*`
1262×	`associate-/l*`
900×	`times-frac`
798×	`associate-/r/`
716×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	543	7365
1	1550	7273
2	7047	7273

Stop Event

1×	node limit

Counts

253 → 280

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

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.31%	(.f64 a (.f64 a b))
✓	1.21%	(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 a b)))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite80.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1928×	`associate-*l/`
990×	`unswap-sqr`
984×	`swap-sqr`
408×	`distribute-lft-neg-in`
378×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	231	40
2	3223	40

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

Outputs

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

simplify117.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1724×	`unswap-sqr`
1402×	`associate-/r/`
456×	`associate-/r*`
446×	`times-frac`
438×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	265	4114
1	759	4014
2	3245	4014

Stop Event

1×	node limit

Counts

150 → 125

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

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

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.15%	(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) 2) (+.f64 b a)) (-.f64 b a))
	0.39%	(/.f64 (PI.f64) a)
✓	0.62%	(/.f64 (/.f64 (/.f64 (PI.f64) a) 2) (+.f64 b a))

Compiler

Compiled 42 to 16 computations (61.9% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite96.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1112×	`distribute-rgt-in`
1074×	`distribute-lft-in`
770×	`distribute-lft-neg-in`
320×	`add-sqr-sqrt`
310×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	304	66
2	4657	66

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

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

Outputs

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simplify147.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

956×	`associate-r`
918×	`associate-l`
704×	`*-commutative`
682×	`associate-/l*`
682×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	478	9844
1	1530	8904

Stop Event

1×	node limit

Counts

166 → 237

Calls

Call 1

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

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

eval355.0ms (3.1%)

Compiler: Compiled 22817 to 10524 computations (53.9% saved)

prune379.0ms (3.3%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	1196	9	1205
Fresh	4	4	8
Picked	1	0	1
Done	2	2	4
Total	1203	15	1218

Error

Counts

1218 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	28.8%	(/.f64 (/.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) b) 2) (+.f64 b a)) (-.f64 b a))
	35.42%	(/.f64 (/.f64 (PI.f64) (/.f64 (*.f64 a b) 1/2)) b)
	35.47%	(/.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 a 2) (/.f64 1 b)))
	35.87%	(/.f64 (/.f64 (PI.f64) 2) (.f64 b (.f64 a b)))
▶	35.46%	(/.f64 (/.f64 1/2 (/.f64 b (PI.f64))) (*.f64 b a))
	35.85%	(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 a)) b)
	41.47%	(/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 b a))
✓	42.17%	(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 a b)))
▶	36.29%	(/.f64 1 (/.f64 b (/.f64 (PI.f64) (/.f64 b (/.f64 1/2 a)))))
▶	0.34%	(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
✓	43.01%	(.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))
▶	41.5%	(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 1/2 a))
	47.93%	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
	41.51%	(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
▶	47.77%	(.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)))

Compiler

Compiled 330 to 240 computations (27.3% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.29%	(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
✓	0.38%	(/.f64 (PI.f64) (+.f64 a b))
✓	0.94%	(/.f64 1/2 (*.f64 a b))

Compiler

Compiled 33 to 12 computations (63.6% saved)

series11.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	a	@	-inf	(/.f64 1/2 (*.f64 a b))
1.0ms	a	@	0	(/.f64 1/2 (*.f64 a b))
1.0ms	b	@	0	(/.f64 1/2 (*.f64 a b))
0.0ms	a	@	inf	(/.f64 1/2 (*.f64 a b))
0.0ms	b	@	inf	(/.f64 1/2 (*.f64 a b))

rewrite112.0ms (1%)

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 (PI.f64) (fma.f64 a a (neg.f64 (*.f64 b b)))) (fma.f64 (neg.f64 b) 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 (PI.f64) (fma.f64 a a (neg.f64 (*.f64 b b)))) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 (PI.f64) (fma.f64 a a (neg.f64 (*.f64 b b)))) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (PI.f64) (fma.f64 a a (neg.f64 (*.f64 b b)))) a) (*.f64 (/.f64 (PI.f64) (fma.f64 a a (neg.f64 (*.f64 b b)))) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (PI.f64) (fma.f64 a a (neg.f64 (*.f64 b b)))) a) (*.f64 (/.f64 (PI.f64) (fma.f64 a a (neg.f64 (*.f64 b b)))) (*.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (PI.f64) (fma.f64 a a (neg.f64 (*.f64 b b)))) a) (*.f64 (/.f64 (PI.f64) (fma.f64 a a (neg.f64 (*.f64 b b)))) (*.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (PI.f64) (fma.f64 a a (neg.f64 (*.f64 b b)))) a) (*.f64 (/.f64 (PI.f64) (fma.f64 a a (neg.f64 (*.f64 b b)))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (PI.f64) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 a a)) (*.f64 (/.f64 (PI.f64) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 b (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (PI.f64) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 b (-.f64 b a))) (*.f64 (/.f64 (PI.f64) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (/.f64 (PI.f64) (fma.f64 a a (neg.f64 (*.f64 b b))))) (*.f64 (neg.f64 b) (/.f64 (PI.f64) (fma.f64 a a (neg.f64 (*.f64 b b))))))))) (#(struct:change #<rule 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(/.f64 (PI.f64) (fma.f64 a a (neg.f64 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 a b) (/.f64 (PI.f64) (fma.f64 a a (neg.f64 (*.f64 b b))))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b) (/.f64 (PI.f64) (fma.f64 a a (neg.f64 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a a) (/.f64 (PI.f64) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))) (*.f64 (*.f64 b (-.f64 b a)) (/.f64 (PI.f64) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b (-.f64 b a)) (/.f64 (PI.f64) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))) (*.f64 (*.f64 a a) (/.f64 (PI.f64) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (+.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (/.f64 1 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (+.f64 a 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 (PI.f64) (+.f64 a b))) (sqrt.f64 (/.f64 (PI.f64) (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (PI.f64) (+.f64 a b))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (+.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (+.f64 a b))) 2) (cbrt.f64 (/.f64 (PI.f64) (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 a b)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) 1) (/.f64 1 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a b))) (/.f64 (PI.f64) (sqrt.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a b)) 2)) (/.f64 (PI.f64) (cbrt.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (fma.f64 a a (neg.f64 (*.f64 b b)))) (-.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (fma.f64 a a (*.f64 b (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 a a (neg.f64 (*.f64 b b)))) (*.f64 (PI.f64) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 (PI.f64) (fma.f64 a a (*.f64 b (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (+.f64 a b))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 a b)) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (+.f64 a b)) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (+.f64 a b))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (+.f64 a b)) 2)) (cbrt.f64 (/.f64 (PI.f64) (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (+.f64 a b)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (neg.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) (neg.f64 (-.f64 a 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simplify148.0ms (1.3%)

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.25%	(/.f64 (PI.f64) (.f64 (.f64 a a) b))
✓	13.03%	(.f64 (.f64 a a) b)

Compiler

Compiled 30 to 9 computations (70% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1676×	`associate-/r*`
1302×	`associate-/l*`
950×	`*-commutative`
944×	`associate-*r/`
668×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	186	34
2	2528	34

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

Outputs

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

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

simplify88.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1774×	`associate-+r-`
840×	`unswap-sqr`
712×	`associate-/l/`
556×	`*-commutative`
452×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	2455
1	474	2455
2	2016	2449
3	7072	2449

Stop Event

1×	node limit

Counts

125 → 90

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.42%	(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 1/2 a))
✓	1.02%	(/.f64 (PI.f64) (*.f64 a b))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

12 calls:

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

rewrite80.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1110×	`unswap-sqr`
884×	`swap-sqr`
448×	`associate-/l/`
424×	`sqr-pow`
420×	`pow-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	239	42
2	3310	42

Stop Event

1×	node limit

Counts

2 → 138

Calls

Call 1

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

Outputs

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

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

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

972×	`distribute-lft-neg-in`
888×	`distribute-rgt-neg-in`
864×	`distribute-lft-in`
862×	`distribute-rgt-in`
650×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	349	4156
1	970	4120
2	4666	4120

Stop Event

1×	node limit

Counts

162 → 171

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.29%	(/.f64 (/.f64 1/2 (/.f64 b (PI.f64))) (*.f64 b a))
✓	0.34%	(/.f64 b (PI.f64))
✓	0.45%	(/.f64 1/2 (/.f64 b (PI.f64)))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

12 calls:

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

rewrite94.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1204×	`associate-/r/`
1058×	`associate-/l/`
966×	`swap-sqr`
556×	`distribute-lft-neg-in`
496×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
1	242	51
2	3485	51

Stop Event

1×	node limit

Counts

3 → 210

Calls

Call 1

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

Outputs

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

simplify106.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1122×	`associate-l`
1116×	`associate-r`
754×	`associate-/l*`
734×	`*-commutative`
698×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	481	5584
1	1321	5470
2	7032	5470

Stop Event

1×	node limit

Counts

246 → 244

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.26%	(/.f64 b (/.f64 (PI.f64) (/.f64 b (/.f64 1/2 a))))
✓	0.7%	(/.f64 b (/.f64 1/2 a))
✓	0.99%	(/.f64 (PI.f64) (/.f64 b (/.f64 1/2 a)))
✓	1.08%	(/.f64 1 (/.f64 b (/.f64 (PI.f64) (/.f64 b (/.f64 1/2 a)))))

Compiler

Compiled 42 to 26 computations (38.1% saved)

series10.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite101.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1194×	`associate-/l/`
1120×	`swap-sqr`
820×	`distribute-lft-neg-in`
736×	`distribute-rgt-neg-in`
326×	`distribute-neg-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	94
1	288	88
2	4094	88

Stop Event

1×	node limit

Counts

4 → 219

Calls

Call 1

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

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

simplify128.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1092×	`associate-r`
1046×	`associate-l`
806×	`*-commutative`
764×	`associate-/r*`
646×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	498	7833
1	1387	7773
2	7038	7773

Stop Event

1×	node limit

Counts

315 → 268

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

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

eval344.0ms (3%)

Compiler: Compiled 21095 to 9451 computations (55.2% saved)

prune395.0ms (3.4%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	1244	1	1245
Fresh	3	5	8
Picked	0	1	1
Done	1	5	6
Total	1248	12	1260

Error

Counts

1260 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.42%	(/.f64 (/.f64 (PI.f64) (/.f64 (*.f64 a b) 1/2)) b)
	35.47%	(/.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 a 2) (/.f64 1 b)))
▶	35.87%	(/.f64 (/.f64 (PI.f64) 2) (.f64 b (.f64 a b)))
✓	35.46%	(/.f64 (/.f64 1/2 (/.f64 b (PI.f64))) (*.f64 b a))
▶	41.49%	(/.f64 (/.f64 1/2 a) (*.f64 (/.f64 b (PI.f64)) a))
▶	35.85%	(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 a)) b)
✓	36.29%	(/.f64 1 (/.f64 b (/.f64 (PI.f64) (/.f64 b (/.f64 1/2 a)))))
✓	0.34%	(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
✓	43.01%	(.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))
✓	41.5%	(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 1/2 a))
▶	47.93%	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
✓	47.77%	(.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)))

Compiler

Compiled 206 to 151 computations (26.7% saved)

localize39.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2%	(/.f64 (/.f64 (PI.f64) (/.f64 (*.f64 a b) 1/2)) b)
✓	0.99%	(/.f64 (PI.f64) (/.f64 (*.f64 a b) 1/2))

Compiler

Compiled 30 to 14 computations (53.3% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite99.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1376×	`associate-/r/`
930×	`swap-sqr`
900×	`associate-/l/`
544×	`distribute-lft-neg-in`
480×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	243	48
2	3439	48

Stop Event

1×	node limit

Counts

2 → 188

Calls

Call 1

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

Outputs

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

simplify112.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1474×	`distribute-lft-in`
894×	`associate-*l/`
802×	`*-commutative`
802×	`associate-*r/`
748×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	459	6938
1	1392	6778
2	6486	6778

Stop Event

1×	node limit

Counts

236 → 245

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.93%	(/.f64 (PI.f64) (*.f64 a a))
✓	13.3%	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1544×	`associate-/l*`
1038×	`unswap-sqr`
798×	`swap-sqr`
350×	`associate-/l/`
312×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	239	42
2	3306	42

Stop Event

1×	node limit

Counts

2 → 217

Calls

Call 1

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

Outputs

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

simplify157.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1280×	`associate-/r*`
1258×	`associate-/l*`
898×	`times-frac`
798×	`associate-/r/`
716×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	543	7365
1	1550	7273
2	7034	7273

Stop Event

1×	node limit

Counts

253 → 281

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2%	(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 a)) b)
✓	0.39%	(/.f64 (PI.f64) b)
✓	0.84%	(*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 a))

Compiler

Compiled 28 to 14 computations (50% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

15 calls:

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

rewrite84.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`associate-/l/`
1184×	`associate-/r/`
932×	`swap-sqr`
508×	`distribute-lft-neg-in`
468×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	243	57
2	3460	57

Stop Event

1×	node limit

Counts

3 → 161

Calls

Call 1

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

Outputs

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

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

simplify96.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

924×	`associate-/l*`
858×	`distribute-lft-neg-in`
844×	`associate-l`
772×	`distribute-rgt-neg-in`
720×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	377	4923
1	1053	4845
2	6116	4845

Stop Event

1×	node limit

Counts

209 → 196

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.26%	(/.f64 (/.f64 1/2 a) (*.f64 (/.f64 b (PI.f64)) a))
✓	0.27%	(*.f64 (/.f64 b (PI.f64)) a)
	0.34%	(/.f64 b (PI.f64))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite99.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1166×	`associate-/r/`
1162×	`associate-/l/`
926×	`swap-sqr`
540×	`distribute-lft-neg-in`
490×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	242	42
2	3448	42

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

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

Outputs

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

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1014×	`unswap-sqr`
662×	`distribute-rgt-in`
656×	`distribute-lft-in`
514×	`associate-*l/`
466×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	299	4173
1	869	4155
2	3620	4155

Stop Event

1×	node limit

Counts

165 → 159

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.24%	(.f64 b (.f64 a b))
✓	1.18%	(/.f64 (/.f64 (PI.f64) 2) (.f64 b (.f64 a b)))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite84.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`unswap-sqr`
864×	`swap-sqr`
702×	`associate-/l/`
438×	`associate-/r/`
410×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	235	40
2	3167	40

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

Outputs

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

((#(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 (*.f64 b a) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 a a) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (*.f64 b a)))))) (#(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))))))))

simplify91.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1688×	`unswap-sqr`
622×	`associate-/r/`
552×	`associate-/r*`
534×	`distribute-rgt-in`
534×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	256	3741
1	720	3711
2	3474	3711

Stop Event

1×	node limit

Counts

145 → 115

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

eval281.0ms (2.4%)

Compiler: Compiled 15213 to 7701 computations (49.4% saved)

prune257.0ms (2.2%)

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	1058	1	1059
Fresh	1	0	1
Picked	0	1	1
Done	0	10	10
Total	1059	12	1071

Error

Counts

1071 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	35.42%	(/.f64 (/.f64 (PI.f64) (/.f64 (*.f64 a b) 1/2)) b)
✓	35.87%	(/.f64 (/.f64 (PI.f64) 2) (.f64 b (.f64 a b)))
✓	35.46%	(/.f64 (/.f64 1/2 (/.f64 b (PI.f64))) (*.f64 b a))
✓	41.49%	(/.f64 (/.f64 1/2 a) (*.f64 (/.f64 b (PI.f64)) a))
✓	35.85%	(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 a)) b)
✓	36.29%	(/.f64 1 (/.f64 b (/.f64 (PI.f64) (/.f64 b (/.f64 1/2 a)))))
	35.46%	(*.f64 (/.f64 (/.f64 (PI.f64) b) (neg.f64 a)) (/.f64 -1/2 b))
✓	0.34%	(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
✓	43.01%	(.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))
✓	41.5%	(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 1/2 a))
✓	47.93%	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
✓	47.77%	(.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)))

Compiler

Compiled 137 to 100 computations (27% saved)

regimes47.0ms (0.4%)

Counts

30 → 1

Calls

Call 1

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

15.0ms	a
15.0ms	b
8.0ms	(.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
0.28%	1	`a`
0.28%	1	`b`
0.28%	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 393 to 194 computations (50.6% saved)

regimes25.0ms (0.2%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	b
10.0ms	a

Results

Error	Segments	Branch
0.34%	1	`a`
0.34%	1	`b`

Compiler

Compiled 197 to 98 computations (50.3% saved)

regimes54.0ms (0.5%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	a
25.0ms	b

Results

Error	Segments	Branch
10.48%	3	`a`
9.31%	3	`b`

Compiler

Compiled 164 to 80 computations (51.2% saved)

bsearch46.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	0.9464173816873294	1025047.5760600481
25.0ms	-6.742860706972348e-39	-3.102340736790361e-45

Results

39.0ms	288×	body	256	valid
2.0ms	17×	body	256	infinite

Compiler

Compiled 460 to 345 computations (25% saved)

regimes82.0ms (0.7%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

2 calls:

56.0ms	a
22.0ms	b

Results

Error	Segments	Branch
10.52%	3	`a`
9.34%	3	`b`

Compiler

Compiled 134 to 65 computations (51.5% saved)

bsearch49.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	0.9464173816873294	1025047.5760600481
24.0ms	-6.742860706972348e-39	-3.102340736790361e-45

Results

41.0ms	288×	body	256	valid
2.0ms	14×	body	256	infinite

Compiler

Compiled 460 to 345 computations (25% saved)

regimes76.0ms (0.7%)

Counts

12 → 3

Calls

Call 1

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

Calls

2 calls:

52.0ms	a
21.0ms	b

Results

Error	Segments	Branch
10.92%	3	`a`
9.44%	3	`b`

Compiler

Compiled 116 to 59 computations (49.1% saved)

bsearch48.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.9464173816873294	1025047.5760600481
24.0ms	-6.742860706972348e-39	-3.102340736790361e-45

Results

42.0ms	288×	body	256	valid
2.0ms	13×	body	256	infinite

Compiler

Compiled 460 to 345 computations (25% saved)

regimes62.0ms (0.5%)

Counts

10 → 3

Calls

Call 1

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

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:

40.0ms	a
17.0ms	b

Results

Error	Segments	Branch
11.2%	3	`a`
9.76%	3	`b`

Compiler

Compiled 98 to 49 computations (50% saved)

bsearch48.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.9464173816873294	1025047.5760600481
24.0ms	-6.742860706972348e-39	-3.102340736790361e-45

Results

42.0ms	288×	body	256	valid
1.0ms	11×	body	256	infinite

Compiler

Compiled 460 to 345 computations (25% saved)

regimes36.0ms (0.3%)

Counts

9 → 3

Calls

Call 1

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

Calls

2 calls:

17.0ms	a
16.0ms	b

Results

Error	Segments	Branch
11.22%	3	`a`
9.79%	3	`b`

Compiler

Compiled 89 to 45 computations (49.4% saved)

bsearch46.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.9464173816873294	1025047.5760600481
23.0ms	-6.742860706972348e-39	-3.102340736790361e-45

Results

37.0ms	288×	body	256	valid
2.0ms	15×	body	256	infinite

Compiler

Compiled 460 to 345 computations (25% saved)

regimes84.0ms (0.7%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

68.0ms	a
13.0ms	b

Results

Error	Segments	Branch
18.03%	3	`a`
16.62%	3	`b`

Compiler

Compiled 71 to 38 computations (46.5% saved)

bsearch48.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.9464173816873294	1025047.5760600481
26.0ms	-6.742860706972348e-39	-3.102340736790361e-45

Results

42.0ms	288×	body	256	valid
2.0ms	15×	body	256	infinite

Compiler

Compiled 460 to 345 computations (25% saved)

regimes19.0ms (0.2%)

Accuracy

Total -33.6b remaining (-229.6%)

Threshold costs -33.6b (-229.6%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	b
8.0ms	a

Results

Error	Segments	Branch
24.29%	3	`a`
22.87%	3	`b`

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch45.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.9464173816873294	1025047.5760600481
23.0ms	-6.742860706972348e-39	-3.102340736790361e-45

Results

39.0ms	288×	body	256	valid
2.0ms	15×	body	256	infinite

Compiler

Compiled 460 to 345 computations (25% saved)

simplify36.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative`
8×	`if-if-or-not`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	706
1	103	706

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 -5057235284857433/766247770432944429179173513575154591809369561091801088) (/.f64 (/.f64 (PI.f64) (/.f64 (.f64 a b) 1/2)) b) (if (<=.f64 b 760000) (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 b a)) (/.f64 (.f64 (/.f64 (PI.f64) b) (/.f64 1/2 a)) b)))
(if (<=.f64 b -8336775742310435/49039857307708443467467104868809893875799651909875269632) (/.f64 (/.f64 1/2 (/.f64 b (PI.f64))) (.f64 b a)) (if (<=.f64 b 25500) (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 b a)) (/.f64 (.f64 (/.f64 (PI.f64) b) (/.f64 1/2 a)) b)))
(if (<=.f64 b -5057235284857433/766247770432944429179173513575154591809369561091801088) (/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64))) (if (<=.f64 b 185000) (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 b a)) (/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 a)) b)))
(if (<=.f64 b -5057235284857433/766247770432944429179173513575154591809369561091801088) (/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64))) (if (<=.f64 b 4000) (/.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 -5057235284857433/766247770432944429179173513575154591809369561091801088) (/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64))) (if (<=.f64 b 185000) (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b))) (/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))))
(if (<=.f64 b -5057235284857433/766247770432944429179173513575154591809369561091801088) (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b b)))) (if (<=.f64 b 250000) (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b))) (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b b))))))
(if (<=.f64 b -5057235284857433/766247770432944429179173513575154591809369561091801088) (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b b)))) (if (<=.f64 b 48) (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 a a) b))) (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b 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 -5057235284857433/766247770432944429179173513575154591809369561091801088) (/.f64 (/.f64 (PI.f64) (/.f64 (.f64 a b) 1/2)) b) (if (<=.f64 b 760000) (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 b a)) (/.f64 (.f64 (/.f64 (PI.f64) b) (/.f64 1/2 a)) b)))
(if (<=.f64 b -5057235284857433/766247770432944429179173513575154591809369561091801088) (/.f64 (/.f64 (PI.f64) (/.f64 (.f64 b a) 1/2)) b) (if (<=.f64 b 760000) (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 b a)) (/.f64 (.f64 (/.f64 (PI.f64) b) (/.f64 1/2 a)) b)))
(if (<=.f64 b -8336775742310435/49039857307708443467467104868809893875799651909875269632) (/.f64 (/.f64 1/2 (/.f64 b (PI.f64))) (.f64 b a)) (if (<=.f64 b 25500) (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 b a)) (/.f64 (.f64 (/.f64 (PI.f64) b) (/.f64 1/2 a)) b)))
(if (<=.f64 b -5057235284857433/766247770432944429179173513575154591809369561091801088) (/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64))) (if (<=.f64 b 185000) (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 b a)) (/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 a)) b)))
(if (<=.f64 b -5057235284857433/766247770432944429179173513575154591809369561091801088) (/.f64 1/2 (/.f64 (.f64 b (.f64 b a)) (PI.f64))) (if (<=.f64 b 185000) (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 b a)) (/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 a)) b)))
(if (<=.f64 b -5057235284857433/766247770432944429179173513575154591809369561091801088) (/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64))) (if (<=.f64 b 4000) (/.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 -5057235284857433/766247770432944429179173513575154591809369561091801088) (not (<=.f64 b 4000))) (/.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 -5057235284857433/766247770432944429179173513575154591809369561091801088) (/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64))) (if (<=.f64 b 185000) (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b))) (/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))))
(if (or (<=.f64 b -5057235284857433/766247770432944429179173513575154591809369561091801088) (not (<=.f64 b 185000))) (/.f64 1/2 (/.f64 (.f64 b (.f64 b a)) (PI.f64))) (.f64 (/.f64 1/2 (.f64 b a)) (/.f64 (PI.f64) a)))
(if (<=.f64 b -5057235284857433/766247770432944429179173513575154591809369561091801088) (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b b)))) (if (<=.f64 b 250000) (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b))) (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b b))))))
(if (or (<=.f64 b -5057235284857433/766247770432944429179173513575154591809369561091801088) (not (<=.f64 b 250000))) (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b b)))) (.f64 (/.f64 1/2 (*.f64 b a)) (/.f64 (PI.f64) a)))
(if (<=.f64 b -5057235284857433/766247770432944429179173513575154591809369561091801088) (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b b)))) (if (<=.f64 b 48) (.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 a a) b))) (.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))))
(if (or (<=.f64 b -5057235284857433/766247770432944429179173513575154591809369561091801088) (not (<=.f64 b 48))) (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b b)))) (.f64 1/2 (/.f64 (PI.f64) (.f64 b (.f64 a a)))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))

Compiler

Compiled 264 to 173 computations (34.5% saved)

soundness106.0ms (0.9%)

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)

end91.0ms (0.8%)

Compiler: Compiled 246 to 121 computations (50.8% saved)