Details

analyze143.0ms (1.1%)

Algorithm

1×

Search

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

Compiler

Compiled 24 to 18 computations (25% saved)

sample1.4s (11.2%)

Results

1.3s	8256×	body	256	valid
103.0ms	731×	body	256	infinite

Bogosity

preprocess59.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

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

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

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

Compiler

Compiled 25 to 19 computations (24% saved)

simplify49.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

eval2.0ms (0%)

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

prune7.0ms (0.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

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

Error

0.1b

Counts

7 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(/.f64 (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (+.f64 b a)) (-.f64 b a))
	12.4b	(.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 (.f64 b b) (*.f64 a a))) 1/2)
▶	12.4b	(.f64 (/.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 b b) (*.f64 a a))) (+.f64 (/.f64 1 a) (/.f64 -1 b)))
▶	12.5b	(.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (*.f64 a a))))
▶	12.5b	(.f64 (/.f64 (PI.f64) 2) (.f64 (/.f64 1 (-.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b))))
▶	12.4b	(.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)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))
✓	0.2b	(/.f64 (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (+.f64 b a)) (-.f64 b a))
✓	0.2b	(/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (+.f64 b a))
✓	0.2b	(/.f64 (PI.f64) a)

Compiler

Compiled 69 to 31 computations (55.1% saved)

series13.0ms (0.1%)

Counts

4 → 72

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	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))

rewrite153.0ms (1.2%)

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 (PI.f64) a)
(/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (+.f64 b 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 (exp.f64 (log1p.f64 (/.f64 (PI.f64) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (PI.f64) (pow.f64 a -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (PI.f64) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (PI.f64) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (PI.f64) a)) (sqrt.f64 (/.f64 (PI.f64) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 a -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (PI.f64) a)) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) a)) 2) (cbrt.f64 (/.f64 (PI.f64) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 a -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 a -1) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (PI.f64) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (PI.f64) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (PI.f64) a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (PI.f64) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (PI.f64) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (PI.f64) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (PI.f64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (PI.f64) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (PI.f64) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (PI.f64) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (PI.f64) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (PI.f64) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (PI.f64) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (PI.f64) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (PI.f64) a)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 a b))) (.f64 (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 a b))) (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 a b))) (.f64 (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 a b))) (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 a b))) (.f64 (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 a b))) (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 a b))) b) (.f64 (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 a b))) (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 a b))) b) (.f64 (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 a b))) (.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 a b))) (neg.f64 a)) (.f64 (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 a b))) 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 a b)))) (.f64 (neg.f64 a) (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (/.f64 1/2 (+.f64 a 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 a b)))) (.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 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 a) (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 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simplify126.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1672×	`associate-r`
1134×	`associate-/l*`
896×	`*-commutative`
700×	`associate-*r/`
516×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	641	15264
1	2015	14582

Stop Event

1×	node limit

Counts

246 → 338

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

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 a) (/.f64 -1 b))
✓	0.2b	(.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (*.f64 a a))))
✓	4.7b	(-.f64 (.f64 b b) (.f64 a a))
✓	7.4b	(/.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	a	@	inf	(.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (*.f64 a a))))
0.0ms	a	@	0	(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (.f64 a a)))
0.0ms	a	@	0	(.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (*.f64 a a))))
0.0ms	a	@	inf	(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (.f64 a a)))
0.0ms	b	@	0	(.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (*.f64 a a))))

rewrite158.0ms (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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simplify185.0ms (1.5%)

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
	0.0b	(+.f64 (/.f64 1 a) (/.f64 -1 b))
✓	0.9b	(/.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 b b) (.f64 a a)))
	4.7b	(-.f64 (.f64 b b) (.f64 a a))
✓	6.7b	(.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	@	-inf	(/.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 b b) (.f64 a a)))

rewrite114.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 157

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) 2)) a)) (/.f64 (*.f64 (PI.f64) -1/2) (*.f64 b (-.f64 (*.f64 b b) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (PI.f64) -1/2) (*.f64 b (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) 2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 (+.f64 b a) (*.f64 b a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) 1/2) (*.f64 (+.f64 b a) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (+.f64 b a) (*.f64 b a)) (/.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) 1/2) (+.f64 (/.f64 1 a) (/.f64 -1 b))) (-.f64 (*.f64 b b) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 2 (PI.f64))) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a -2) (/.f64 1 (*.f64 b b))) (*.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 2 (PI.f64))) (+.f64 (/.f64 1 a) (/.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3))) (*.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 2 (PI.f64))) (+.f64 (pow.f64 a -2) (-.f64 (/.f64 1 (*.f64 b b)) (/.f64 -1 (*.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) 1/2) (-.f64 (pow.f64 a -2) (/.f64 1 (*.f64 b b)))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (/.f64 1 a) (/.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) 1/2) (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3)))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (pow.f64 a -2) (-.f64 (/.f64 1 (*.f64 b 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simplify115.0ms (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)))))

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))))
✓	0.8b	(/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))
	4.7b	(-.f64 (.f64 b b) (.f64 a a))
✓	6.7b	(.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	b	@	0	(.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)))

rewrite115.0ms (0.9%)

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)))))))

simplify133.0ms (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))))

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (PI.f64) 2) (.f64 (/.f64 1 (-.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b))))
	0.8b	(/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))
	4.7b	(-.f64 (.f64 b b) (.f64 a a))
✓	6.7b	(.f64 (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

Compiler

Compiled 83 to 40 computations (51.8% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite118.0ms (0.9%)

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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simplify190.0ms (1.5%)

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 (9.5%)

Compiler: Compiled 73919 to 36962 computations (50% saved)

prune1.1s (8.7%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	2402	19	2421
Fresh	1	0	1
Picked	1	0	1
Done	4	0	4
Total	2408	19	2427

Error

Counts

2427 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
▶	0.3b	(/.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (.f64 a b))) 2)
	6.8b	(/.f64 (.f64 (-.f64 b a) (.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))) (*.f64 b a))
▶	27.6b	(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 a b)))
	18.7b	(/.f64 (.f64 -1/2 (/.f64 (PI.f64) (.f64 a b))) (-.f64 b a))
	23.5b	(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))
	27.4b	(/.f64 1/2 (/.f64 (.f64 a (.f64 b b)) (PI.f64)))
	27.7b	(/.f64 1/2 (/.f64 (.f64 a (.f64 a b)) (PI.f64)))
	0.3b	(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
▶	27.5b	(.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))
	31.1b	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
	19.0b	(.f64 (/.f64 (PI.f64) 2) (pow.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 a b) (*.f64 a b)))) 2))
	27.6b	(.f64 (/.f64 (PI.f64) 2) (/.f64 1 (.f64 a (*.f64 a b))))
	29.4b	(.f64 (/.f64 (PI.f64) 2) (.f64 (/.f64 (/.f64 1 b) b) (-.f64 (/.f64 1 a) (/.f64 1 b))))
	0.3b	(.f64 (/.f64 1/2 (/.f64 (+.f64 a b) (PI.f64))) (/.f64 (/.f64 (-.f64 a b) (.f64 a b)) (-.f64 a b)))
	32.6b	(.f64 (.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	31.1b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
	31.0b	(.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)))
▶	27.4b	(.f64 1/2 (/.f64 (PI.f64) (.f64 a (*.f64 b b))))

Compiler

Compiled 520 to 368 computations (29.2% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
✓	0.2b	(/.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
2.0ms	b	@	0	(/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a))
2.0ms	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))
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))

rewrite95.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 195

Calls

Call 1

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

Outputs

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

simplify155.0ms (1.2%)

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))))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (PI.f64) (.f64 a (.f64 b b)))
✓	6.8b	(.f64 a (.f64 b b))

Compiler

Compiled 30 to 9 computations (70% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 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	a	@	-inf	(/.f64 (PI.f64) (.f64 a (.f64 b b)))
0.0ms	a	@	inf	(.f64 a (.f64 b b))

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1704×	`associate-/r*`
1328×	`associate-/l*`
948×	`*-commutative`
944×	`associate-*r/`
670×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	186	34
2	2526	34

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs

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

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

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1618×	`associate-/r*`
886×	`unswap-sqr`
638×	`associate-/l/`
618×	`*-commutative`
466×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	2410
1	466	2410
2	1971	2404
3	7842	2404

Stop Event

1×	node limit

Counts

124 → 84

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.9b	(/.f64 (PI.f64) (*.f64 b b))
✓	6.6b	(.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite90.0ms (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 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))))))))

simplify153.0ms (1.2%)

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a (.f64 a b))
✓	0.4b	(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 a b)))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series5.0ms (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	b	@	inf	(/.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 a (.f64 a b))

rewrite80.0ms (0.6%)

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 (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))))))))

simplify74.0ms (0.6%)

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))

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (+.f64 a b) (.f64 a b))
✓	0.3b	(/.f64 (PI.f64) (.f64 (+.f64 a b) (.f64 a b)))

Compiler

Compiled 39 to 10 computations (74.4% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite87.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1790×	`associate-*r/`
1694×	`associate-/l*`
1548×	`associate-*l/`
282×	`associate-+l+`
230×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	46
1	216	46
2	3132	46

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs

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

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

simplify98.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1866×	`distribute-lft-in`
1842×	`distribute-rgt-in`
572×	`associate-/r*`
540×	`associate-/l*`
464×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	339	5822
1	941	5672
2	4260	5672

Stop Event

1×	node limit

Counts

162 → 203

Calls

Call 1

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

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

eval246.0ms (2%)

Compiler: Compiled 17417 to 7720 computations (55.7% saved)

prune251.0ms (2%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	985	12	997
Fresh	11	3	14
Picked	1	0	1
Done	3	1	4
Total	1000	16	1016

Error

Counts

1016 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	27.7b	(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a) 2)
	3.6b	(/.f64 (/.f64 (PI.f64) (/.f64 (*.f64 a (+.f64 a b)) (/.f64 1 b))) 2)
▶	23.6b	(/.f64 (/.f64 (PI.f64) (/.f64 b (/.f64 1/2 a))) b)
	23.5b	(/.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 b a) 1/2))
	23.6b	(/.f64 (/.f64 1/2 (/.f64 b (PI.f64))) (*.f64 b a))
	0.3b	(/.f64 (.f64 (/.f64 1 (/.f64 (+.f64 b a) (PI.f64))) 1/2) (.f64 b a))
▶	0.2b	(/.f64 (.f64 (/.f64 1/2 (+.f64 b a)) (PI.f64)) (.f64 b a))
▶	23.3b	(/.f64 (PI.f64) (.f64 (.f64 (*.f64 a 2) b) b))
	23.5b	(/.f64 1/2 (/.f64 (*.f64 a b) (/.f64 (PI.f64) b)))
✓	27.5b	(.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))
	27.7b	(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
	19.0b	(.f64 (/.f64 (PI.f64) 2) (pow.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 a b) (*.f64 a b)))) 2))
▶	27.6b	(.f64 (/.f64 1/2 (.f64 a (*.f64 a b))) (PI.f64))
	23.6b	(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b))
	31.1b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
▶	31.0b	(.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)))

Compiler

Compiled 375 to 274 computations (26.9% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 (/.f64 1/2 (+.f64 b a)) (PI.f64)) (.f64 b a))
✓	0.3b	(*.f64 (/.f64 1/2 (+.f64 b a)) (PI.f64))

Compiler

Compiled 35 to 15 computations (57.1% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1128×	`associate-/r/`
1060×	`associate-/l/`
662×	`distribute-rgt-in`
628×	`distribute-lft-in`
282×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	269	54
2	4001	54

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

Outputs

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

simplify117.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1328×	`distribute-lft-in`
1294×	`distribute-rgt-in`
646×	`associate-/l*`
594×	`associate-*r/`
562×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	394	7834
1	1250	7682
2	5491	7682

Stop Event

1×	node limit

Counts

170 → 211

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (PI.f64) (.f64 (.f64 a a) b))
✓	7.6b	(.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	@	0	(/.f64 (PI.f64) (.f64 (.f64 a a) b))
0.0ms	a	@	0	(.f64 (.f64 a a) b)
0.0ms	b	@	inf	(/.f64 (PI.f64) (.f64 (.f64 a a) b))
0.0ms	a	@	-inf	(/.f64 (PI.f64) (.f64 (.f64 a a) b))

rewrite66.0ms (0.5%)

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))))))))

simplify136.0ms (1.1%)

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(.f64 a (.f64 a b))
✓	0.3b	(.f64 (/.f64 1/2 (.f64 a (*.f64 a b))) (PI.f64))
✓	0.3b	(/.f64 1/2 (.f64 a (.f64 a b)))

Compiler

Compiled 30 to 11 computations (63.3% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite101.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1436×	`associate-/r*`
1290×	`associate-*r/`
1102×	`*-commutative`
982×	`associate-*l/`
494×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	229	46
2	2876	46

Stop Event

1×	node limit

Counts

2 → 216

Calls

Call 1

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

Outputs

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

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

simplify121.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1266×	`associate-/l/`
1006×	`associate-/r*`
836×	`distribute-lft-neg-out`
580×	`distribute-rgt-in`
576×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	533	7884
1	1550	7838
2	5605	7838

Stop Event

1×	node limit

Counts

264 → 276

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (*.f64 a 2) b) b)
✓	0.5b	(/.f64 (PI.f64) (.f64 (.f64 (*.f64 a 2) b) b))

Compiler

Compiled 30 to 18 computations (40% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1742×	`associate-/l*`
1126×	`associate-*r/`
934×	`associate-*l/`
886×	`swap-sqr`
342×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	228	46
2	2986	46

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1102×	`associate-/l/`
852×	`*-commutative`
780×	`unswap-sqr`
460×	`log-prod`
434×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	2896
1	509	2896
2	2389	2896

Stop Event

1×	node limit

Counts

116 → 80

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (PI.f64) (/.f64 b (/.f64 1/2 a))) b)
✓	0.2b	(/.f64 b (/.f64 1/2 a))
✓	0.6b	(/.f64 (PI.f64) (/.f64 b (/.f64 1/2 a)))

Compiler

Compiled 30 to 18 computations (40% saved)

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite132.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1264×	`associate-/l/`
1000×	`unswap-sqr`
1000×	`swap-sqr`
660×	`distribute-lft-neg-in`
592×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	247	61
2	3617	61

Stop Event

1×	node limit

Counts

3 → 194

Calls

Call 1

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

Outputs

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

simplify133.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1620×	`distribute-lft-in`
974×	`associate-r`
920×	`associate-l`
854×	`*-commutative`
618×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	463	7024
1	1339	6780
2	6329	6780

Stop Event

1×	node limit

Counts

266 → 242

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

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

eval298.0ms (2.4%)

Compiler: Compiled 15367 to 7377 computations (52% saved)

prune280.0ms (2.2%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	914	6	920
Fresh	6	4	10
Picked	0	1	1
Done	1	4	5
Total	921	15	936

Error

Counts

936 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.6b	(/.f64 (/.f64 (PI.f64) (/.f64 b (/.f64 1/2 a))) b)
▶	23.5b	(/.f64 (/.f64 (PI.f64) (.f64 (.f64 b 2) a)) b)
▶	0.3b	(/.f64 (/.f64 1/2 (/.f64 (+.f64 b a) (PI.f64))) (*.f64 b a))
	27.7b	(/.f64 (.f64 (/.f64 1/2 (.f64 a b)) (PI.f64)) a)
▶	23.5b	(/.f64 (.f64 (/.f64 1/2 b) (PI.f64)) (.f64 b a))
✓	23.3b	(/.f64 (PI.f64) (.f64 (.f64 (*.f64 a 2) b) b))
	23.5b	(/.f64 1/2 (/.f64 (*.f64 a b) (/.f64 (PI.f64) b)))
	27.8b	(.f64 (/.f64 (sqrt.f64 1/2) a) (/.f64 (.f64 (PI.f64) (/.f64 (sqrt.f64 1/2) a)) b))
✓	27.5b	(.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))
	3.5b	(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 a (+.f64 b a))))
▶	27.7b	(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
✓	27.6b	(.f64 (/.f64 1/2 (.f64 a (*.f64 a b))) (PI.f64))
	23.6b	(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b))
▶	31.1b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
✓	31.0b	(.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)))

Compiler

Compiled 291 to 212 computations (27.1% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1/2 (/.f64 (+.f64 b a) (PI.f64))) (*.f64 b a))
✓	0.2b	(/.f64 (+.f64 b a) (PI.f64))
✓	0.3b	(/.f64 1/2 (/.f64 (+.f64 b a) (PI.f64)))

Compiler

Compiled 35 to 12 computations (65.7% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite141.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1552×	`associate-/r/`
1298×	`associate-/l/`
638×	`distribute-rgt-in`
608×	`distribute-lft-in`
286×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	272	69
2	4078	69

Stop Event

1×	node limit

Counts

3 → 216

Calls

Call 1

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

Outputs

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

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

simplify162.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1082×	`associate-r`
982×	`associate-/l*`
978×	`*-commutative`
946×	`associate-l`
920×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	598	11814
1	1876	11266

Stop Event

1×	node limit

Counts

288 → 341

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (PI.f64) (*.f64 a a))
✓	7.6b	(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)

Compiler

Compiled 30 to 9 computations (70% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 152

Calls

Call 1

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

Outputs

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

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

simplify108.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

188 → 196

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
	0.2b	(/.f64 (PI.f64) a)
✓	0.6b	(/.f64 1/2 (*.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	b	@	inf	(/.f64 1/2 (*.f64 a b))
0.0ms	a	@	inf	(/.f64 1/2 (*.f64 a b))
0.0ms	b	@	0	(/.f64 1/2 (*.f64 a b))
0.0ms	a	@	0	(/.f64 1/2 (*.f64 a b))
0.0ms	b	@	-inf	(/.f64 1/2 (*.f64 a b))

rewrite101.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1446×	`associate-/l*`
1084×	`unswap-sqr`
850×	`swap-sqr`
404×	`associate-/l/`
328×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	239	40
2	3261	40

Stop Event

1×	node limit

Counts

2 → 180

Calls

Call 1

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

Outputs

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

simplify138.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1336×	`distribute-lft-in`
1096×	`associate-/r*`
1078×	`associate-/l*`
726×	`associate-/r/`
662×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	465	6608
1	1296	6560
2	6648	6560

Stop Event

1×	node limit

Counts

204 → 252

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 (/.f64 1/2 b) (PI.f64)) (.f64 b a))
✓	0.3b	(*.f64 (/.f64 1/2 b) (PI.f64))

Compiler

Compiled 26 to 14 computations (46.2% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite78.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1052×	`unswap-sqr`
982×	`swap-sqr`
956×	`associate-/l/`
686×	`associate-/r/`
436×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	239	42
2	3398	42

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

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

Outputs

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

simplify129.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1512×	`unswap-sqr`
752×	`distribute-rgt-in`
748×	`distribute-lft-in`
514×	`associate-*r/`
472×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	304	4686
1	901	4476
2	3887	4476

Stop Event

1×	node limit

Counts

154 → 153

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (PI.f64) (.f64 (.f64 b 2) a)) b)
✓	0.6b	(/.f64 (PI.f64) (.f64 (.f64 b 2) a))

Compiler

Compiled 30 to 18 computations (40% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite83.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1010×	`unswap-sqr`
946×	`swap-sqr`
716×	`associate-/l/`
628×	`associate-/r/`
518×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	235	48
2	3276	48

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

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

Outputs

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simplify416.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

876×	`distribute-rgt-in`
868×	`distribute-lft-in`
654×	`distribute-lft-neg-in`
616×	`distribute-lft-neg-out`
596×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	340	5529
1	981	5445
2	4350	5445

Stop Event

1×	node limit

Counts

189 → 183

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))))
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(exp.f64 (log.f64 (/.f64 (PI.f64) (.f64 b (.f64 b (*.f64 2 a))))))
(exp.f64 (.f64 (log.f64 (/.f64 (PI.f64) (.f64 b (.f64 b (.f64 2 a))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (.f64 b (.f64 b (*.f64 2 a))))))

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

eval312.0ms (2.5%)

Compiler: Compiled 19652 to 9487 computations (51.7% saved)

prune279.0ms (2.2%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	1162	5	1167
Fresh	3	2	5
Picked	1	0	1
Done	3	6	9
Total	1169	13	1182

Error

Counts

1182 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.6b	(/.f64 (/.f64 (PI.f64) (/.f64 b (/.f64 1/2 a))) b)
✓	0.3b	(/.f64 (/.f64 1/2 (/.f64 (+.f64 b a) (PI.f64))) (*.f64 b a))
	27.7b	(/.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 a (PI.f64)))
	27.7b	(/.f64 (/.f64 1/2 a) (/.f64 b (/.f64 (PI.f64) a)))
	27.7b	(/.f64 (.f64 (/.f64 1/2 (.f64 a b)) (PI.f64)) a)
✓	23.3b	(/.f64 (PI.f64) (.f64 (.f64 (*.f64 a 2) b) b))
	23.5b	(/.f64 1/2 (/.f64 (*.f64 a b) (/.f64 (PI.f64) b)))
	23.5b	(*.f64 (/.f64 (/.f64 1/2 b) a) (/.f64 (PI.f64) b))
✓	27.5b	(.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 1/2 a))
	39.4b	(.f64 (/.f64 (PI.f64) a) (pow.f64 (sqrt.f64 (/.f64 1/2 (.f64 a b))) 2))
✓	27.6b	(.f64 (/.f64 1/2 (.f64 a (*.f64 a b))) (PI.f64))
	3.5b	(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a (+.f64 b a))))
✓	31.1b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))

Compiler

Compiled 150 to 109 computations (27.3% saved)

regimes78.0ms (0.6%)

Counts

48 → 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 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b))
(.f64 (/.f64 1/2 (.f64 a (*.f64 a b))) (PI.f64))
(.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 b b)) (/.f64 1/2 a))
(*.f64 (/.f64 (/.f64 1/2 b) a) (/.f64 (PI.f64) b))
(/.f64 1/2 (/.f64 (*.f64 a b) (/.f64 (PI.f64) b)))
(/.f64 1/2 (/.f64 (.f64 a (.f64 a b)) (PI.f64)))
(/.f64 1/2 (/.f64 (.f64 a (.f64 b b)) (PI.f64)))
(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))
(/.f64 (PI.f64) (.f64 (.f64 (*.f64 a 2) b) b))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 a b)))
(/.f64 (.f64 (/.f64 1/2 b) (PI.f64)) (.f64 b a))
(/.f64 (.f64 (/.f64 1/2 (.f64 a b)) (PI.f64)) a)
(/.f64 (/.f64 1/2 a) (/.f64 b (/.f64 (PI.f64) a)))
(/.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 a (PI.f64)))
(/.f64 (/.f64 1/2 (/.f64 b (PI.f64))) (*.f64 b a))
(/.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 b a) 1/2))
(/.f64 (/.f64 (PI.f64) (.f64 (.f64 b 2) a)) b)
(/.f64 (/.f64 (PI.f64) (/.f64 b (/.f64 1/2 a))) b)
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a) 2)
(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a (+.f64 b a))))
(.f64 (/.f64 (PI.f64) 2) (/.f64 1 (.f64 a (*.f64 a b))))
(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 a (+.f64 b a))))
(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
(/.f64 (.f64 -1/2 (/.f64 (PI.f64) (.f64 a b))) (-.f64 b a))
(/.f64 (.f64 (/.f64 1/2 (+.f64 b a)) (PI.f64)) (.f64 b a))
(/.f64 (/.f64 1/2 (/.f64 (+.f64 b a) (PI.f64))) (*.f64 b a))
(/.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (.f64 a b))) 2)
(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
(/.f64 (.f64 (/.f64 1 (/.f64 (+.f64 b a) (PI.f64))) 1/2) (.f64 b a))
(/.f64 (/.f64 (PI.f64) (/.f64 (*.f64 a (+.f64 a b)) (/.f64 1 b))) 2)
(.f64 (.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(.f64 (/.f64 (PI.f64) 2) (.f64 (/.f64 (/.f64 1 b) b) (-.f64 (/.f64 1 a) (/.f64 1 b))))
(.f64 (/.f64 1/2 (/.f64 (+.f64 a b) (PI.f64))) (/.f64 (/.f64 (-.f64 a b) (.f64 a b)) (-.f64 a b)))
(.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (/.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 b b) (*.f64 a a))) (+.f64 (/.f64 1 a) (/.f64 -1 b)))
(/.f64 (.f64 (-.f64 b a) (.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))) (*.f64 b 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 (PI.f64) a) (pow.f64 (sqrt.f64 (/.f64 1/2 (.f64 a b))) 2))
(.f64 (/.f64 (sqrt.f64 1/2) a) (/.f64 (.f64 (PI.f64) (/.f64 (sqrt.f64 1/2) a)) b))
(.f64 (/.f64 (PI.f64) 2) (pow.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 a b) (*.f64 a b)))) 2))
(.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 (.f64 b b) (*.f64 a a))) 1/2)
(/.f64 (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (+.f64 b a)) (-.f64 b a))

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

Calls

3 calls:

22.0ms	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
22.0ms	b
22.0ms	a

Results

Error	Segments	Branch
0.2b	1	`a`
0.2b	1	`b`
0.2b	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 599 to 283 computations (52.8% saved)

regimes68.0ms (0.5%)

Counts

47 → 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 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b))
(.f64 (/.f64 1/2 (.f64 a (*.f64 a b))) (PI.f64))
(.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 b b)) (/.f64 1/2 a))
(*.f64 (/.f64 (/.f64 1/2 b) a) (/.f64 (PI.f64) b))
(/.f64 1/2 (/.f64 (*.f64 a b) (/.f64 (PI.f64) b)))
(/.f64 1/2 (/.f64 (.f64 a (.f64 a b)) (PI.f64)))
(/.f64 1/2 (/.f64 (.f64 a (.f64 b b)) (PI.f64)))
(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))
(/.f64 (PI.f64) (.f64 (.f64 (*.f64 a 2) b) b))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 a b)))
(/.f64 (.f64 (/.f64 1/2 b) (PI.f64)) (.f64 b a))
(/.f64 (.f64 (/.f64 1/2 (.f64 a b)) (PI.f64)) a)
(/.f64 (/.f64 1/2 a) (/.f64 b (/.f64 (PI.f64) a)))
(/.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 a (PI.f64)))
(/.f64 (/.f64 1/2 (/.f64 b (PI.f64))) (*.f64 b a))
(/.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 b a) 1/2))
(/.f64 (/.f64 (PI.f64) (.f64 (.f64 b 2) a)) b)
(/.f64 (/.f64 (PI.f64) (/.f64 b (/.f64 1/2 a))) b)
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a) 2)
(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a (+.f64 b a))))
(.f64 (/.f64 (PI.f64) 2) (/.f64 1 (.f64 a (*.f64 a b))))
(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 a (+.f64 b a))))
(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
(/.f64 (.f64 -1/2 (/.f64 (PI.f64) (.f64 a b))) (-.f64 b a))
(/.f64 (.f64 (/.f64 1/2 (+.f64 b a)) (PI.f64)) (.f64 b a))
(/.f64 (/.f64 1/2 (/.f64 (+.f64 b a) (PI.f64))) (*.f64 b a))
(/.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (.f64 a b))) 2)
(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
(/.f64 (.f64 (/.f64 1 (/.f64 (+.f64 b a) (PI.f64))) 1/2) (.f64 b a))
(/.f64 (/.f64 (PI.f64) (/.f64 (*.f64 a (+.f64 a b)) (/.f64 1 b))) 2)
(.f64 (.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(.f64 (/.f64 (PI.f64) 2) (.f64 (/.f64 (/.f64 1 b) b) (-.f64 (/.f64 1 a) (/.f64 1 b))))
(.f64 (/.f64 1/2 (/.f64 (+.f64 a b) (PI.f64))) (/.f64 (/.f64 (-.f64 a b) (.f64 a b)) (-.f64 a b)))
(.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 (/.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 b b) (*.f64 a a))) (+.f64 (/.f64 1 a) (/.f64 -1 b)))
(/.f64 (.f64 (-.f64 b a) (.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))) (*.f64 b 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 (PI.f64) a) (pow.f64 (sqrt.f64 (/.f64 1/2 (.f64 a b))) 2))
(.f64 (/.f64 (sqrt.f64 1/2) a) (/.f64 (.f64 (PI.f64) (/.f64 (sqrt.f64 1/2) a)) b))
(.f64 (/.f64 (PI.f64) 2) (pow.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 a b) (*.f64 a b)))) 2))
(.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 (.f64 b b) (*.f64 a a))) 1/2)

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

Calls

3 calls:

22.0ms	b
21.0ms	a
14.0ms	(.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
0.2b	1	`a`
0.2b	1	`b`
0.2b	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 581 to 276 computations (52.5% saved)

regimes36.0ms (0.3%)

Counts

29 → 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 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b))
(.f64 (/.f64 1/2 (.f64 a (*.f64 a b))) (PI.f64))
(.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 b b)) (/.f64 1/2 a))
(*.f64 (/.f64 (/.f64 1/2 b) a) (/.f64 (PI.f64) b))
(/.f64 1/2 (/.f64 (*.f64 a b) (/.f64 (PI.f64) b)))
(/.f64 1/2 (/.f64 (.f64 a (.f64 a b)) (PI.f64)))
(/.f64 1/2 (/.f64 (.f64 a (.f64 b b)) (PI.f64)))
(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))
(/.f64 (PI.f64) (.f64 (.f64 (*.f64 a 2) b) b))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 a b)))
(/.f64 (.f64 (/.f64 1/2 b) (PI.f64)) (.f64 b a))
(/.f64 (.f64 (/.f64 1/2 (.f64 a b)) (PI.f64)) a)
(/.f64 (/.f64 1/2 a) (/.f64 b (/.f64 (PI.f64) a)))
(/.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 a (PI.f64)))
(/.f64 (/.f64 1/2 (/.f64 b (PI.f64))) (*.f64 b a))
(/.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 b a) 1/2))
(/.f64 (/.f64 (PI.f64) (.f64 (.f64 b 2) a)) b)
(/.f64 (/.f64 (PI.f64) (/.f64 b (/.f64 1/2 a))) b)
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a) 2)
(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a (+.f64 b a))))
(.f64 (/.f64 (PI.f64) 2) (/.f64 1 (.f64 a (*.f64 a b))))
(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 a (+.f64 b a))))
(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
(/.f64 (.f64 -1/2 (/.f64 (PI.f64) (.f64 a b))) (-.f64 b a))

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

Calls

2 calls:

14.0ms	b
14.0ms	a

Results

Error	Segments	Branch
0.3b	1	`a`
0.3b	1	`b`

Compiler

Compiled 279 to 128 computations (54.1% saved)

regimes122.0ms (1%)

Counts

27 → 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 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b))
(.f64 (/.f64 1/2 (.f64 a (*.f64 a b))) (PI.f64))
(.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 b b)) (/.f64 1/2 a))
(*.f64 (/.f64 (/.f64 1/2 b) a) (/.f64 (PI.f64) b))
(/.f64 1/2 (/.f64 (*.f64 a b) (/.f64 (PI.f64) b)))
(/.f64 1/2 (/.f64 (.f64 a (.f64 a b)) (PI.f64)))
(/.f64 1/2 (/.f64 (.f64 a (.f64 b b)) (PI.f64)))
(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))
(/.f64 (PI.f64) (.f64 (.f64 (*.f64 a 2) b) b))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 a b)))
(/.f64 (.f64 (/.f64 1/2 b) (PI.f64)) (.f64 b a))
(/.f64 (.f64 (/.f64 1/2 (.f64 a b)) (PI.f64)) a)
(/.f64 (/.f64 1/2 a) (/.f64 b (/.f64 (PI.f64) a)))
(/.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 a (PI.f64)))
(/.f64 (/.f64 1/2 (/.f64 b (PI.f64))) (*.f64 b a))
(/.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 b a) 1/2))
(/.f64 (/.f64 (PI.f64) (.f64 (.f64 b 2) a)) b)
(/.f64 (/.f64 (PI.f64) (/.f64 b (/.f64 1/2 a))) b)
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a) 2)
(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a (+.f64 b a))))
(.f64 (/.f64 (PI.f64) 2) (/.f64 1 (.f64 a (*.f64 a b))))
(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 a (+.f64 b a))))

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

Calls

2 calls:

65.0ms	a
38.0ms	b

Results

Error	Segments	Branch
0.2b	3	`a`
0.2b	3	`b`

Compiler

Compiled 257 to 119 computations (53.7% saved)

bsearch45.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	1.52283214385022e+85	3.868231419787953e+86
16.0ms	-1.4144317953850584e+128	-4.9591582339847613e+126

Results

41.0ms

224×

body

256

valid

Compiler

Compiled 392 to 287 computations (26.8% saved)

regimes134.0ms (1.1%)

Counts

24 → 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 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b))
(.f64 (/.f64 1/2 (.f64 a (*.f64 a b))) (PI.f64))
(.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 b b)) (/.f64 1/2 a))
(*.f64 (/.f64 (/.f64 1/2 b) a) (/.f64 (PI.f64) b))
(/.f64 1/2 (/.f64 (*.f64 a b) (/.f64 (PI.f64) b)))
(/.f64 1/2 (/.f64 (.f64 a (.f64 a b)) (PI.f64)))
(/.f64 1/2 (/.f64 (.f64 a (.f64 b b)) (PI.f64)))
(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))
(/.f64 (PI.f64) (.f64 (.f64 (*.f64 a 2) b) b))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 a b)))
(/.f64 (.f64 (/.f64 1/2 b) (PI.f64)) (.f64 b a))
(/.f64 (.f64 (/.f64 1/2 (.f64 a b)) (PI.f64)) a)
(/.f64 (/.f64 1/2 a) (/.f64 b (/.f64 (PI.f64) a)))
(/.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 a (PI.f64)))
(/.f64 (/.f64 1/2 (/.f64 b (PI.f64))) (*.f64 b a))
(/.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 b a) 1/2))
(/.f64 (/.f64 (PI.f64) (.f64 (.f64 b 2) a)) b)
(/.f64 (/.f64 (PI.f64) (/.f64 b (/.f64 1/2 a))) b)
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a) 2)

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

Calls

2 calls:

95.0ms	a
34.0ms	b

Results

Error	Segments	Branch
5.5b	3	`a`
4.5b	3	`b`

Compiler

Compiled 224 to 105 computations (53.1% saved)

bsearch75.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
50.0ms	6.571016868950046e+33	2.926743249315518e+41
24.0ms	-3.27088453424994e-26	-5.470094062341207e-33

Results

69.0ms	288×	body	256	valid
1.0ms	10×	body	256	infinite

Compiler

Compiled 460 to 345 computations (25% saved)

regimes111.0ms (0.9%)

Counts

15 → 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 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b))
(.f64 (/.f64 1/2 (.f64 a (*.f64 a b))) (PI.f64))
(.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 b b)) (/.f64 1/2 a))
(*.f64 (/.f64 (/.f64 1/2 b) a) (/.f64 (PI.f64) b))
(/.f64 1/2 (/.f64 (*.f64 a b) (/.f64 (PI.f64) b)))
(/.f64 1/2 (/.f64 (.f64 a (.f64 a b)) (PI.f64)))
(/.f64 1/2 (/.f64 (.f64 a (.f64 b b)) (PI.f64)))
(/.f64 1/2 (/.f64 (.f64 b (.f64 a b)) (PI.f64)))
(/.f64 (PI.f64) (.f64 (.f64 (*.f64 a 2) b) b))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 a b)))

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

Calls

2 calls:

72.0ms	b
35.0ms	a

Results

Error	Segments	Branch
5.5b	3	`a`
4.5b	3	`b`

Compiler

Compiled 143 to 67 computations (53.1% saved)

bsearch53.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	6.571016868950046e+33	2.926743249315518e+41
23.0ms	-3.27088453424994e-26	-5.470094062341207e-33

Results

48.0ms	288×	body	256	valid
1.0ms	6×	body	256	infinite

Compiler

Compiled 460 to 345 computations (25% saved)

regimes46.0ms (0.4%)

Counts

8 → 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 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b))
(.f64 (/.f64 1/2 (.f64 a (*.f64 a b))) (PI.f64))
(.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 b b)) (/.f64 1/2 a))

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

Calls

2 calls:

25.0ms	b
19.0ms	a

Results

Error	Segments	Branch
5.5b	3	`a`
4.5b	3	`b`

Compiler

Compiled 80 to 41 computations (48.8% saved)

bsearch62.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	6.571016868950046e+33	2.926743249315518e+41
36.0ms	-3.27088453424994e-26	-5.470094062341207e-33

Results

42.0ms	288×	body	256	valid
1.0ms	6×	body	256	infinite

Compiler

Compiled 460 to 345 computations (25% saved)

regimes27.0ms (0.2%)

Counts

4 → 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 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b))

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

Calls

2 calls:

14.0ms	a
11.0ms	b

Results

Error	Segments	Branch
8.8b	3	`a`
7.8b	3	`b`

Compiler

Compiled 44 to 26 computations (40.9% saved)

bsearch95.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	6.571016868950046e+33	2.926743249315518e+41
72.0ms	-3.27088453424994e-26	-5.470094062341207e-33

Results

90.0ms	288×	body	256	valid
1.0ms	5×	body	256	infinite

Compiler

Compiled 460 to 345 computations (25% saved)

regimes24.0ms (0.2%)

Counts

3 → 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 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))

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

Calls

2 calls:

13.0ms	a
10.0ms	b

Results

Error	Segments	Branch
12.8b	3	`a`
11.7b	3	`b`

Compiler

Compiled 35 to 21 computations (40% saved)

bsearch46.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	6.571016868950046e+33	2.926743249315518e+41
24.0ms	-3.27088453424994e-26	-5.470094062341207e-33

Results

40.0ms	288×	body	256	valid
2.0ms	14×	body	256	infinite

Compiler

Compiled 460 to 345 computations (25% saved)

regimes50.0ms (0.4%)

Accuracy

Total -38.8b remaining (-331.6%)

Threshold costs -38.8b (-331.6%)

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:

41.0ms	a
8.0ms	b

Results

Error	Segments	Branch
12.8b	3	`a`
11.7b	3	`b`

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch44.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	6.571016868950046e+33	2.926743249315518e+41
22.0ms	-3.27088453424994e-26	-5.470094062341207e-33

Results

39.0ms	288×	body	256	valid
1.0ms	7×	body	256	infinite

Compiler

Compiled 460 to 345 computations (25% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative`
8×	`if-if-or-not`
6×	`+-commutative`
4×	`sub-neg`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	767
1	132	767
2	136	767
3	138	767
4	139	767

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (+.f64 b a)) (-.f64 b a))
(/.f64 (.f64 (/.f64 1/2 (+.f64 b a)) (PI.f64)) (.f64 b a))
(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
(if (<=.f64 a -31000000000000002330409094412064467451614300994924654617970182173090743682514871344600774134030499098276244606204428316127002624) (/.f64 (/.f64 (/.f64 (PI.f64) (.f64 a b)) a) 2) (if (<=.f64 a 379999999999999977952678800494196602029592886280467112721436210442976397765339426848768) (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a (+.f64 b a)))) (/.f64 (.f64 (/.f64 1/2 (*.f64 a b)) (PI.f64)) a)))
(if (<=.f64 b -7247742189522453/11150372599265311570767859136324180752990208) (.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)) (if (<=.f64 b 6599999999999999525504374053797888) (.f64 (/.f64 1/2 (.f64 a (.f64 a b))) (PI.f64)) (/.f64 (.f64 (/.f64 1/2 b) (PI.f64)) (.f64 b a))))
(if (<=.f64 b -1067125502664063/43556142965880123323311949751266331066368) (.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)) (if (<=.f64 b 60000000000000003652042886863650816) (.f64 (/.f64 1/2 (.f64 a (.f64 a b))) (PI.f64)) (*.f64 (/.f64 (/.f64 1/2 b) a) (/.f64 (PI.f64) b))))
(if (<=.f64 b -348449143727041/10889035741470030830827987437816582766592) (.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)) (if (<=.f64 b 7200000000000000530478866792185856) (.f64 (/.f64 1/2 (.f64 a (.f64 a b))) (PI.f64)) (*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b))))
(if (<=.f64 b -8920298079412249/713623846352979940529142984724747568191373312) (.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)) (if (<=.f64 b 199999999999999995497619646912068059136) (.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b)) (.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b))))
(if (<=.f64 b -1067125502664063/43556142965880123323311949751266331066368) (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b b)))) (if (<=.f64 b 39000000000000001912659274618634240) (.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b)) (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b b))))))
(if (<=.f64 b -348449143727041/10889035741470030830827987437816582766592) (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b b)))) (if (<=.f64 b 6599999999999999525504374053797888) (.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 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (+.f64 b a)) (-.f64 b a))
(/.f64 (.f64 (/.f64 1/2 (+.f64 b a)) (PI.f64)) (.f64 b a))
(/.f64 (.f64 (PI.f64) (/.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 a -31000000000000002330409094412064467451614300994924654617970182173090743682514871344600774134030499098276244606204428316127002624) (/.f64 (/.f64 (/.f64 (PI.f64) (.f64 a b)) a) 2) (if (<=.f64 a 379999999999999977952678800494196602029592886280467112721436210442976397765339426848768) (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a (+.f64 b a)))) (/.f64 (.f64 (/.f64 1/2 (*.f64 a b)) (PI.f64)) a)))
(if (<=.f64 a -31000000000000002330409094412064467451614300994924654617970182173090743682514871344600774134030499098276244606204428316127002624) (/.f64 (/.f64 (/.f64 (PI.f64) (.f64 b a)) a) 2) (if (<=.f64 a 379999999999999977952678800494196602029592886280467112721436210442976397765339426848768) (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a (+.f64 b a)))) (/.f64 (.f64 (PI.f64) (/.f64 1/2 (*.f64 b a))) a)))
(if (<=.f64 b -7247742189522453/11150372599265311570767859136324180752990208) (.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)) (if (<=.f64 b 6599999999999999525504374053797888) (.f64 (/.f64 1/2 (.f64 a (.f64 a b))) (PI.f64)) (/.f64 (.f64 (/.f64 1/2 b) (PI.f64)) (.f64 b a))))
(if (<=.f64 b -7247742189522453/11150372599265311570767859136324180752990208) (.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)) (if (<=.f64 b 6599999999999999525504374053797888) (.f64 (PI.f64) (/.f64 1/2 (.f64 a (.f64 b a)))) (/.f64 (.f64 (PI.f64) (/.f64 1/2 b)) (.f64 b a))))
(if (<=.f64 b -1067125502664063/43556142965880123323311949751266331066368) (.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)) (if (<=.f64 b 60000000000000003652042886863650816) (.f64 (/.f64 1/2 (.f64 a (.f64 a b))) (PI.f64)) (*.f64 (/.f64 (/.f64 1/2 b) a) (/.f64 (PI.f64) b))))
(if (<=.f64 b -1067125502664063/43556142965880123323311949751266331066368) (.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)) (if (<=.f64 b 60000000000000003652042886863650816) (.f64 (PI.f64) (/.f64 1/2 (.f64 a (.f64 b a)))) (*.f64 (/.f64 (/.f64 1/2 b) a) (/.f64 (PI.f64) b))))
(if (<=.f64 b -348449143727041/10889035741470030830827987437816582766592) (.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)) (if (<=.f64 b 7200000000000000530478866792185856) (.f64 (/.f64 1/2 (.f64 a (.f64 a b))) (PI.f64)) (*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b))))
(if (or (<=.f64 b -348449143727041/10889035741470030830827987437816582766592) (not (<=.f64 b 7200000000000000530478866792185856))) (.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)) (.f64 (PI.f64) (/.f64 1/2 (.f64 a (.f64 b a)))))
(if (<=.f64 b -8920298079412249/713623846352979940529142984724747568191373312) (.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)) (if (<=.f64 b 199999999999999995497619646912068059136) (.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b)) (.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b))))
(if (or (<=.f64 b -8920298079412249/713623846352979940529142984724747568191373312) (not (<=.f64 b 199999999999999995497619646912068059136))) (.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b)) (.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)))
(if (<=.f64 b -1067125502664063/43556142965880123323311949751266331066368) (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b b)))) (if (<=.f64 b 39000000000000001912659274618634240) (.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b)) (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b b))))))
(if (or (<=.f64 b -1067125502664063/43556142965880123323311949751266331066368) (not (<=.f64 b 39000000000000001912659274618634240))) (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b b)))) (.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)))
(if (<=.f64 b -348449143727041/10889035741470030830827987437816582766592) (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b b)))) (if (<=.f64 b 6599999999999999525504374053797888) (.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 -348449143727041/10889035741470030830827987437816582766592) (not (<=.f64 b 6599999999999999525504374053797888))) (.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 286 to 190 computations (33.6% saved)

soundness421.0ms (3.4%)

Algorithm

5×	egg-herbie

Rules

1866×	`distribute-lft-in`
1842×	`distribute-rgt-in`
1242×	`associate-/l*`
1242×	`associate-/l*`
1242×	`associate-/l*`

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
0	339	5822
1	941	5672
2	4260	5672
0	18	63
1	41	57
2	107	57
3	419	57
4	1535	55
5	5204	55
0	18	63
1	41	57
2	107	57
3	419	57
4	1535	55
5	5204	55
0	584	15367
1	1653	15055
2	7299	15055

Stop Event

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

Compiler

Compiled 394 to 223 computations (43.4% saved)

end94.0ms (0.8%)

Compiler: Compiled 266 to 130 computations (51.1% saved)