Details

analyze323.0ms (7.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
15.6%	84.3%	0.1%	6
37.5%	62.4%	0.1%	7
46.8%	53.1%	0.1%	8
57.8%	39.8%	2.4%	9
64.6%	30.4%	5%	10
71.8%	20.3%	7.9%	11
74.1%	16.2%	9.7%	12
77.4%	10.7%	12%	13
78.6%	8.4%	13%	14

Compiler

Compiled 24 to 18 computations (25% saved)

sample1.2s (29.6%)

Results

1.1s	8256×	body	128	valid
56.0ms	359×	body	128	invalid

preprocess30.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

462×	`fma-def_binary64`
403×	`associate-*l/_binary64`
376×	`div-sub_binary64`
322×	`associate-*r/_binary64`
211×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	64
1	60	58
2	184	58
3	759	58
4	3477	54
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 (/.f64 (PI.f64) (.f64 (+.f64 b a) 2)) (-.f64 b a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(*.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (+.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 (PI.f64) 2) (.f64 (/.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 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) 2) (-.f64 (.f64 a a) (.f64 b b)))

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify18.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

597×	`times-frac_binary64`
509×	`associate-/l*_binary64`
356×	`associate-/l/_binary64`
274×	`distribute-rgt-in_binary64`
238×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	32
1	37	29
2	100	29
3	400	29
4	1790	28

Stop Event

1×	node limit

Counts

1 → 2

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

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

15.9b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	15.9b	(/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (-.f64 (.f64 b b) (.f64 a a)))
	16.0b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

Status

Error

Program

▶

15.9b

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

16.0b

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

Compiler

Compiled 127 to 84 computations (33.9% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))
✓	0.3b	(/.f64 (PI.f64) a)
✓	3.6b	(-.f64 (.f64 b b) (.f64 a a))
✓	11.7b	(/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (-.f64 (.f64 b b) (.f64 a a)))

series12.0ms (0.3%)

Counts

4 → 72

Calls

21 calls:

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

rewrite95.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

891×	`prod-diff_binary64`
164×	`add-sqr-sqrt_binary64`
158×	`*-un-lft-identity_binary64`
158×	`pow1_binary64`
152×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	321	56
2	4561	56

Stop Event

1×	node limit

Counts

4 → 219

Calls

Call 1

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

simplify48.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

948×	`fma-def_binary64`
457×	`associate-*l/_binary64`
405×	`associate-l_binary64`
304×	`associate-*r/_binary64`
276×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	1308
1	164	1254
2	482	1173
3	1726	1152

Stop Event

1×	node limit

Counts

291 → 246

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

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 1/2 (PI.f64)) (.f64 a (*.f64 a b)))
(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 a a)))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 a 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) (.f64 a (.f64 a b))) (/.f64 -1/2 (/.f64 (pow.f64 a 3) (PI.f64))))
(.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
(.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 -1/2 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 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) b))) (/.f64 -1/2 (/.f64 (pow.f64 a 3) (PI.f64))))
(fma.f64 1/2 (.f64 (/.f64 (PI.f64) (pow.f64 a 4)) b) (.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))
(.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (.f64 1/2 (/.f64 b (.f64 a a))) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))
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(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (.f64 a a) (.f64 b b))
(fma.f64 b b (neg.f64 (*.f64 a a)))
(-.f64 (.f64 b b) (.f64 a a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (.f64 a a) (.f64 b b))
(fma.f64 b b (neg.f64 (*.f64 a a)))
(-.f64 (.f64 b b) (.f64 a a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (.f64 a a) (.f64 b b))
(fma.f64 b b (neg.f64 (*.f64 a a)))
(-.f64 (.f64 b b) (.f64 a a))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (.f64 a a) (.f64 b b))
(fma.f64 b b (neg.f64 (*.f64 a a)))
(-.f64 (.f64 b b) (.f64 a a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (.f64 a a) (.f64 b b))
(fma.f64 b b (neg.f64 (*.f64 a a)))
(-.f64 (.f64 b b) (.f64 a a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (.f64 a a) (.f64 b b))
(fma.f64 b b (neg.f64 (*.f64 a a)))
(-.f64 (.f64 b b) (.f64 a a))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (.f64 a a) (.f64 b b))
(fma.f64 b b (neg.f64 (*.f64 a a)))
(-.f64 (.f64 b b) (.f64 a a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (.f64 a a) (.f64 b b))
(fma.f64 b b (neg.f64 (*.f64 a a)))
(-.f64 (.f64 b b) (.f64 a a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (.f64 a a) (.f64 b b))
(fma.f64 b b (neg.f64 (*.f64 a a)))
(-.f64 (.f64 b b) (.f64 a a))
(*.f64 -1 (pow.f64 a 2))
(neg.f64 (*.f64 a a))
(*.f64 a (neg.f64 a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (.f64 a a) (.f64 b b))
(fma.f64 b b (neg.f64 (*.f64 a a)))
(-.f64 (.f64 b b) (.f64 a a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (.f64 a a) (.f64 b b))
(fma.f64 b b (neg.f64 (*.f64 a a)))
(-.f64 (.f64 b b) (.f64 a a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (.f64 a a) (.f64 b b))
(fma.f64 b b (neg.f64 (*.f64 a a)))
(-.f64 (.f64 b b) (.f64 a a))
(*.f64 -1 (pow.f64 a 2))
(neg.f64 (*.f64 a a))
(*.f64 a (neg.f64 a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (.f64 a a) (.f64 b b))
(fma.f64 b b (neg.f64 (*.f64 a a)))
(-.f64 (.f64 b b) (.f64 a a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (.f64 a a) (.f64 b b))
(fma.f64 b b (neg.f64 (*.f64 a a)))
(-.f64 (.f64 b b) (.f64 a a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(fma.f64 -1 (.f64 a a) (.f64 b b))
(fma.f64 b b (neg.f64 (*.f64 a a)))
(-.f64 (.f64 b b) (.f64 a a))
(*.f64 -1 (/.f64 (PI.f64) b))
(neg.f64 (/.f64 (PI.f64) b))
(/.f64 (neg.f64 (PI.f64)) b)
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(/.f64 (PI.f64) a)
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(/.f64 (PI.f64) a)
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(/.f64 (PI.f64) a)
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(*.f64 -1 (/.f64 (PI.f64) b))
(neg.f64 (/.f64 (PI.f64) b))
(/.f64 (neg.f64 (PI.f64)) b)
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(*.f64 -1 (/.f64 (PI.f64) b))
(neg.f64 (/.f64 (PI.f64) b))
(/.f64 (neg.f64 (PI.f64)) b)
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b)))
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))

prune412.0ms (10%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	236	10	246
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	236	12	248

Error

0.0b

Counts

248 → 12

Alt Table

Status	Error	Program
✓	15.9b	(/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (-.f64 (.f64 b b) (.f64 a a)))
▶	0.3b	(.f64 (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (+.f64 b a)) (/.f64 1/2 (-.f64 b a))) 1)
	27.3b	(/.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) b) 2) (-.f64 (.f64 b b) (.f64 a a)))
	16.3b	(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 3) 2) (-.f64 (.f64 b b) (.f64 a a)))
	16.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2)) 2) (.f64 (cbrt.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2)) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))))
	0.9b	(.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))) 2))
	31.5b	(.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2)) (+.f64 b a)) (/.f64 (sqrt.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2)) (-.f64 b a)))
	0.8b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2)) 2) (+.f64 b a)) (/.f64 (cbrt.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2)) (-.f64 b a)))
	16.0b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	26.1b	(/.f64 1/2 (.f64 (/.f64 b (PI.f64)) (.f64 a b)))
	44.4b	(/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (+.f64 (fma.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) b) (.f64 a (neg.f64 a))) (fma.f64 (neg.f64 a) a (*.f64 a a))))
	23.2b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 a b)))

Compiler

Compiled 7622 to 3253 computations (57.3% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series16.0ms (0.4%)

Counts

2 → 48

Calls

12 calls:

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

rewrite76.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

795×	`prod-diff_binary64`
166×	`add-sqr-sqrt_binary64`
161×	`*-un-lft-identity_binary64`
161×	`pow1_binary64`
154×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	47
1	321	47
2	4711	47

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

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

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

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simplify68.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

258×	`fma-def_binary64`
252×	`cancel-sign-sub-inv_binary64`
207×	`fma-neg_binary64`
191×	`distribute-rgt-neg-out_binary64`
163×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	2911
1	798	2438
2	3514	1541

Stop Event

1×	node limit

Counts

137 → 146

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (PI.f64) (.f64 a b)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (pow.f64 a 3))) b) (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 2)))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))
(-.f64 (+.f64 (.f64 (-.f64 (/.f64 (PI.f64) (pow.f64 a 4)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 4)))) (pow.f64 b 2)) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (pow.f64 a 3))) b) (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 2))))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))
(/.f64 (PI.f64) (*.f64 a b))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (/.f64 (PI.f64) (.f64 a b))) (/.f64 (PI.f64) (pow.f64 b 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (+.f64 (/.f64 (PI.f64) (.f64 a b)) (.f64 -1 (/.f64 (.f64 a (-.f64 (*.f64 -1 (PI.f64)) (PI.f64))) (pow.f64 b 3))))) (/.f64 (PI.f64) (pow.f64 b 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (+.f64 (/.f64 (PI.f64) (.f64 a b)) (+.f64 (/.f64 (.f64 (pow.f64 a 2) (-.f64 (.f64 -1 (PI.f64)) (PI.f64))) (pow.f64 b 4)) (.f64 -1 (/.f64 (.f64 a (-.f64 (*.f64 -1 (PI.f64)) (PI.f64))) (pow.f64 b 3)))))) (/.f64 (PI.f64) (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a b))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (/.f64 (PI.f64) (.f64 a b))) (/.f64 (PI.f64) (pow.f64 b 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (+.f64 (/.f64 (PI.f64) (.f64 a b)) (.f64 -1 (/.f64 (.f64 a (-.f64 (*.f64 -1 (PI.f64)) (PI.f64))) (pow.f64 b 3))))) (/.f64 (PI.f64) (pow.f64 b 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (+.f64 (/.f64 (PI.f64) (.f64 a b)) (+.f64 (/.f64 (.f64 (pow.f64 a 2) (-.f64 (.f64 -1 (PI.f64)) (PI.f64))) (pow.f64 b 4)) (.f64 -1 (/.f64 (.f64 a (-.f64 (*.f64 -1 (PI.f64)) (PI.f64))) (pow.f64 b 3)))))) (/.f64 (PI.f64) (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a b))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (/.f64 (PI.f64) (.f64 a b))) (/.f64 (PI.f64) (pow.f64 b 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (+.f64 (.f64 (-.f64 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3)))) a) (/.f64 (PI.f64) (.f64 a b)))) (/.f64 (PI.f64) (pow.f64 b 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (+.f64 (.f64 (-.f64 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3)))) a) (+.f64 (/.f64 (PI.f64) (.f64 a b)) (.f64 (pow.f64 a 2) (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4))) (/.f64 (PI.f64) (pow.f64 b 4))))))) (/.f64 (PI.f64) (pow.f64 b 2)))
(.f64 -1 (/.f64 (PI.f64) (.f64 a b)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 a b))) (+.f64 (/.f64 (PI.f64) (pow.f64 a 2)) (.f64 -1 (/.f64 (.f64 b (-.f64 (PI.f64) (.f64 -1 (PI.f64)))) (pow.f64 a 3))))) (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 a b))) (+.f64 (/.f64 (PI.f64) (pow.f64 a 2)) (+.f64 (.f64 -1 (/.f64 (.f64 b (-.f64 (PI.f64) (.f64 -1 (PI.f64)))) (pow.f64 a 3))) (/.f64 (.f64 (pow.f64 b 2) (-.f64 (PI.f64) (.f64 -1 (PI.f64)))) (pow.f64 a 4))))) (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))
(.f64 -1 (/.f64 (PI.f64) (.f64 a b)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 a b))) (+.f64 (/.f64 (PI.f64) (pow.f64 a 2)) (.f64 -1 (/.f64 (.f64 b (-.f64 (PI.f64) (.f64 -1 (PI.f64)))) (pow.f64 a 3))))) (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 a b))) (+.f64 (/.f64 (PI.f64) (pow.f64 a 2)) (+.f64 (.f64 -1 (/.f64 (.f64 b (-.f64 (PI.f64) (.f64 -1 (PI.f64)))) (pow.f64 a 3))) (/.f64 (.f64 (-.f64 (PI.f64) (.f64 -1 (PI.f64))) (pow.f64 b 2)) (pow.f64 a 4))))) (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 -1 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 a 4))))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 -1/2 (.f64 b (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 -1 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 a 4)))) (+.f64 a (.f64 -1 a))) (pow.f64 a 2))) (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 4)))))) (+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 -1 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 a 4))))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 b 2) (+.f64 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 -1 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 a 4)))) (+.f64 a (.f64 -1 a))) (pow.f64 a 2))) (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 4))))) (pow.f64 a 2)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 -1 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 a 4)))) (pow.f64 a 2)))))) (+.f64 (.f64 -1/2 (.f64 b (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 -1 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 a 4)))) (+.f64 a (.f64 -1 a))) (pow.f64 a 2))) (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 4)))))) (+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 -1 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 a 4))))) (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2)))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) a)) (pow.f64 b 3))))
(+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 (+.f64 a (.f64 -1 a)) (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) a))) (.f64 -1 (.f64 a (PI.f64)))) (pow.f64 b 4))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) a)) (pow.f64 b 3)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 a (.f64 -1 a)) (+.f64 (.f64 (+.f64 a (.f64 -1 a)) (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) a))) (.f64 -1 (.f64 a (PI.f64)))))) (.f64 -1 (.f64 (pow.f64 a 2) (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) a))))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 (+.f64 a (.f64 -1 a)) (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) a))) (.f64 -1 (.f64 a (PI.f64)))) (pow.f64 b 4))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) a)) (pow.f64 b 3))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2)))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) a)) (pow.f64 b 3))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 a (PI.f64)) (.f64 -1 (.f64 (+.f64 a (.f64 -1 a)) (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) a))))) (pow.f64 b 4))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2)))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) a)) (pow.f64 b 3)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 (+.f64 (.f64 a (PI.f64)) (.f64 -1 (.f64 (+.f64 a (.f64 -1 a)) (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) a))))) (+.f64 a (.f64 -1 a))) (.f64 -1 (.f64 (pow.f64 a 2) (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) a))))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 a (PI.f64)) (.f64 -1 (.f64 (+.f64 a (.f64 -1 a)) (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) a))))) (pow.f64 b 4))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2)))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a)) (pow.f64 b 3))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2)))) (.f64 1/2 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) (pow.f64 b 4)))))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4))) (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) (pow.f64 b 4))) (+.f64 b (.f64 -1 b))) (pow.f64 b 2))) a)) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2)))) (.f64 1/2 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) (pow.f64 b 4))))))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4))) (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) (pow.f64 b 4))) (+.f64 b (.f64 -1 b))) (pow.f64 b 2))) a)) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) (pow.f64 b 4))) (pow.f64 b 2))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4))) (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) (pow.f64 b 4))) (+.f64 b (.f64 -1 b))) (pow.f64 b 2))) (+.f64 b (.f64 -1 b))) (pow.f64 b 2)))))) (.f64 1/2 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 b 4)))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))))) (.f64 -1 (.f64 b (PI.f64)))) (pow.f64 a 4))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))))) (.f64 -1 (.f64 b (PI.f64)))) (pow.f64 a 4))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 (+.f64 b (.f64 -1 b)) (+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))))) (.f64 -1 (.f64 b (PI.f64))))) (.f64 -1 (.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))) (pow.f64 b 2)))) (pow.f64 a 5))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))))) (.f64 -1 (.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 (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))))) (.f64 -1 (.f64 b (PI.f64)))) (+.f64 b (.f64 -1 b))) (.f64 -1 (.f64 (pow.f64 b 2) (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b)))))) (pow.f64 a 5))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))))) (.f64 -1 (.f64 b (PI.f64)))) (pow.f64 a 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))))

Outputs
(.f64 -1 (/.f64 (PI.f64) (.f64 a b)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 a b))
(/.f64 (neg.f64 (/.f64 (PI.f64) b)) a)
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))
(-.f64 (fma.f64 -1 (/.f64 (PI.f64) (.f64 a b)) (/.f64 (PI.f64) (.f64 a a))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a a)))
(+.f64 (/.f64 (PI.f64) (.f64 a a)) (-.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 (PI.f64) (*.f64 a b))))
(-.f64 (/.f64 (.f64 2 (PI.f64)) (.f64 a a)) (/.f64 (PI.f64) (*.f64 a b)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (pow.f64 a 3))) b) (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 2)))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))
(-.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 a 3)) (/.f64 (PI.f64) (pow.f64 a 3))) b (fma.f64 -1 (/.f64 (PI.f64) (.f64 a b)) (/.f64 (PI.f64) (.f64 a a)))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a a)))
(fma.f64 b (.f64 (/.f64 (PI.f64) (pow.f64 a 3)) -2) (+.f64 (/.f64 (PI.f64) (.f64 a a)) (-.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 (PI.f64) (.f64 a b)))))
(fma.f64 b (.f64 (/.f64 (PI.f64) (pow.f64 a 3)) -2) (-.f64 (/.f64 (.f64 2 (PI.f64)) (.f64 a a)) (/.f64 (PI.f64) (.f64 a b))))
(-.f64 (+.f64 (.f64 (-.f64 (/.f64 (PI.f64) (pow.f64 a 4)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 4)))) (pow.f64 b 2)) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (pow.f64 a 3))) b) (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 2))))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))
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(fma.f64 -1/2 (.f64 a (neg.f64 (/.f64 (PI.f64) (pow.f64 b 4)))) (fma.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 b b))) (fma.f64 -1/2 (.f64 a (.f64 a (/.f64 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 b b)))) (/.f64 (*.f64 (PI.f64) -1/2) (pow.f64 b 3)))))
(.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 (PI.f64) (.f64 a (*.f64 a b))))
(+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3))))
(.f64 1/2 (+.f64 (.f64 -1 (-.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (.f64 0 a) (/.f64 (pow.f64 a 4) (PI.f64))))) (/.f64 (PI.f64) (.f64 b (*.f64 a a)))))
(.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 (/.f64 0 (pow.f64 a 4)) (PI.f64)))))
(.f64 1/2 (-.f64 (/.f64 (PI.f64) (.f64 a (*.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 3))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))))) (.f64 -1 (.f64 b (PI.f64)))) (pow.f64 a 4))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3)))))
(fma.f64 -1/2 (.f64 b (fma.f64 -1 (/.f64 (.f64 -1 (-.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (.f64 0 a) (/.f64 (pow.f64 a 4) (PI.f64))))) (/.f64 (.f64 a a) (.f64 0 a))) (/.f64 (neg.f64 (PI.f64)) (pow.f64 a 4)))) (.f64 1/2 (+.f64 (.f64 -1 (-.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (.f64 0 a) (/.f64 (pow.f64 a 4) (PI.f64))))) (/.f64 (PI.f64) (.f64 b (.f64 a a))))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 (/.f64 0 (pow.f64 a 4)) (PI.f64)))) (.f64 b (.f64 (-.f64 (/.f64 (.f64 0 (+.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 (/.f64 0 (pow.f64 a 4)) (PI.f64)))) (.f64 a a)) (/.f64 (PI.f64) (pow.f64 a 4))) -1/2)))
(fma.f64 1/2 (-.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 b (.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 a 4)) -1/2)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))))) (.f64 -1 (.f64 b (PI.f64)))) (pow.f64 a 4))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 (+.f64 b (.f64 -1 b)) (+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))))) (.f64 -1 (.f64 b (PI.f64))))) (.f64 -1 (.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))) (pow.f64 b 2)))) (pow.f64 a 5))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3))))))
(fma.f64 -1/2 (/.f64 (fma.f64 -1 (.f64 (.f64 0 b) (.f64 -1 (-.f64 (PI.f64) (/.f64 (.f64 0 b) (/.f64 b (PI.f64)))))) (.f64 (neg.f64 b) (PI.f64))) (pow.f64 a 4)) (fma.f64 1/2 (/.f64 (PI.f64) (.f64 b (.f64 a a))) (fma.f64 -1/2 (/.f64 (fma.f64 (.f64 0 b) (fma.f64 -1 (.f64 (.f64 0 b) (.f64 -1 (-.f64 (PI.f64) (/.f64 (.f64 0 b) (/.f64 b (PI.f64)))))) (.f64 (neg.f64 b) (PI.f64))) (neg.f64 (.f64 (.f64 b b) (.f64 -1 (-.f64 (PI.f64) (/.f64 (.f64 0 b) (/.f64 b (PI.f64)))))))) (pow.f64 a 5)) (.f64 1/2 (/.f64 (.f64 -1 (-.f64 (PI.f64) (/.f64 (.f64 0 b) (/.f64 b (PI.f64))))) (pow.f64 a 3))))))
(+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 (+.f64 (PI.f64) (/.f64 (.f64 (PI.f64) 0) b)) (.f64 b b) (+.f64 (.f64 (PI.f64) 0) (.f64 (+.f64 (PI.f64) (/.f64 (.f64 (PI.f64) 0) b)) 0))) (pow.f64 a 5)) (.f64 -1/2 (/.f64 (+.f64 (PI.f64) (/.f64 (.f64 (PI.f64) 0) b)) (pow.f64 a 3)))) (fma.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (/.f64 (.f64 1/2 (fma.f64 (+.f64 (PI.f64) (/.f64 (.f64 (PI.f64) 0) b)) 0 (.f64 (PI.f64) b))) (pow.f64 a 4))))
(fma.f64 -1/2 (.f64 (/.f64 (PI.f64) (pow.f64 a 4)) (neg.f64 b)) (fma.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (fma.f64 -1/2 (/.f64 (.f64 (PI.f64) (.f64 b b)) (pow.f64 a 5)) (/.f64 (.f64 (PI.f64) -1/2) (pow.f64 a 3)))))
(.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 (PI.f64) (.f64 a (*.f64 a b))))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))))
(.f64 1/2 (+.f64 (.f64 -1 (-.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (.f64 0 a) (/.f64 (pow.f64 a 4) (PI.f64))))) (/.f64 (PI.f64) (.f64 b (*.f64 a a)))))
(.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 (/.f64 0 (pow.f64 a 4)) (PI.f64)))))
(.f64 1/2 (-.f64 (/.f64 (PI.f64) (.f64 a (*.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 3))))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))))) (.f64 -1 (.f64 b (PI.f64)))) (pow.f64 a 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))))
(fma.f64 -1/2 (.f64 b (fma.f64 -1 (/.f64 (.f64 -1 (-.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (.f64 0 a) (/.f64 (pow.f64 a 4) (PI.f64))))) (/.f64 (.f64 a a) (.f64 0 a))) (/.f64 (neg.f64 (PI.f64)) (pow.f64 a 4)))) (.f64 1/2 (+.f64 (.f64 -1 (-.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (.f64 0 a) (/.f64 (pow.f64 a 4) (PI.f64))))) (/.f64 (PI.f64) (.f64 b (.f64 a a))))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 (/.f64 0 (pow.f64 a 4)) (PI.f64)))) (.f64 b (.f64 (-.f64 (/.f64 (.f64 0 (+.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 (/.f64 0 (pow.f64 a 4)) (PI.f64)))) (.f64 a a)) (/.f64 (PI.f64) (pow.f64 a 4))) -1/2)))
(fma.f64 1/2 (-.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 b (.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 a 4)) -1/2)))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))))) (.f64 -1 (.f64 b (PI.f64)))) (+.f64 b (.f64 -1 b))) (.f64 -1 (.f64 (pow.f64 b 2) (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b)))))) (pow.f64 a 5))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))))) (.f64 -1 (.f64 b (PI.f64)))) (pow.f64 a 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))))
(fma.f64 -1/2 (/.f64 (-.f64 (PI.f64) (neg.f64 (/.f64 (.f64 0 b) (/.f64 b (PI.f64))))) (pow.f64 a 3)) (fma.f64 1/2 (/.f64 (fma.f64 (.f64 -1 (+.f64 (.f64 (.f64 0 b) (-.f64 (PI.f64) (neg.f64 (/.f64 (.f64 0 b) (/.f64 b (PI.f64)))))) (.f64 (PI.f64) b))) (.f64 0 b) (neg.f64 (.f64 (.f64 b b) (-.f64 (PI.f64) (neg.f64 (/.f64 (.f64 0 b) (/.f64 b (PI.f64)))))))) (pow.f64 a 5)) (fma.f64 -1/2 (/.f64 (.f64 -1 (+.f64 (.f64 (.f64 0 b) (-.f64 (PI.f64) (neg.f64 (/.f64 (.f64 0 b) (/.f64 b (PI.f64)))))) (.f64 (PI.f64) b))) (pow.f64 a 4)) (.f64 1/2 (/.f64 (PI.f64) (.f64 b (.f64 a a)))))))
(fma.f64 -1/2 (/.f64 (+.f64 (PI.f64) (/.f64 (.f64 (PI.f64) 0) b)) (pow.f64 a 3)) (fma.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (PI.f64) 0) (.f64 (+.f64 (PI.f64) (/.f64 (.f64 (PI.f64) 0) b)) 0)) (.f64 (.f64 b b) (+.f64 (PI.f64) (/.f64 (.f64 (PI.f64) 0) b)))) (pow.f64 a 5)) (fma.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (/.f64 (.f64 1/2 (fma.f64 (+.f64 (PI.f64) (/.f64 (.f64 (PI.f64) 0) b)) 0 (.f64 (PI.f64) b))) (pow.f64 a 4)))))
(fma.f64 (/.f64 (PI.f64) (pow.f64 a 3)) -1/2 (fma.f64 1/2 (/.f64 (.f64 (PI.f64) (neg.f64 (.f64 b b))) (pow.f64 a 5)) (fma.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (.f64 b (.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 a 4)) -1/2)))))

prune489.0ms (11.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	202	6	208
Fresh	4	6	10
Picked	1	0	1
Done	0	1	1
Total	207	13	220

Error

0.0b

Counts

220 → 13

Alt Table

Status	Error	Program
	16.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2)) 2) (.f64 (cbrt.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2)) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))))
	17.9b	(.f64 (.f64 (/.f64 (neg.f64 (/.f64 (PI.f64) b)) a) (/.f64 1/2 (-.f64 b a))) 1)
	23.2b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 a b)))
▶	0.3b	(.f64 (/.f64 1/2 (.f64 (/.f64 (+.f64 b a) (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (-.f64 b a))) 1)
✓	15.9b	(/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (-.f64 (.f64 b b) (.f64 a a)))
	27.3b	(/.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) b) 2) (-.f64 (.f64 b b) (.f64 a a)))
	31.5b	(.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2)) (+.f64 b a)) (/.f64 (sqrt.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2)) (-.f64 b a)))
	0.8b	(.f64 (.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (+.f64 b a))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (+.f64 b a))) 2)) (/.f64 1/2 (-.f64 b a))) 1)
	16.0b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	26.1b	(/.f64 1/2 (.f64 (/.f64 b (PI.f64)) (.f64 a b)))
	0.3b	(.f64 (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (pow.f64 (/.f64 a (PI.f64)) -1)) (+.f64 b a)) (/.f64 1/2 (-.f64 b a))) 1)
	23.1b	(.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 a b)))) 1)
	0.3b	(.f64 (/.f64 1 (/.f64 (+.f64 b a) (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (-.f64 b a))))) 1)

Compiler

Compiled 6954 to 3932 computations (43.5% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series10.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite63.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

786×	`prod-diff_binary64`
140×	`add-sqr-sqrt_binary64`
138×	`*-un-lft-identity_binary64`
138×	`pow1_binary64`
129×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	268	44
2	3954	44

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 b a) (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b a) (/.f64 1 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 b a) (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 b a) (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 b a) (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 b a) (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b a) (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)))) 2) (cbrt.f64 (/.f64 (+.f64 b a) (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)))))))) (#(struct:change #<rule egg-rr> 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simplify52.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

723×	`fma-def_binary64`
388×	`associate-/l*_binary64`
336×	`times-frac_binary64`
253×	`cancel-sign-sub-inv_binary64`
175×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	2302
1	556	1820
2	1922	1340

Stop Event

1×	node limit

Counts

124 → 124

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 a b) (PI.f64)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 b 2) (PI.f64))) (.f64 -1 (/.f64 (*.f64 a b) (PI.f64))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 b 2) (PI.f64))) (+.f64 (.f64 -1 (/.f64 (.f64 a b) (PI.f64))) (.f64 -2 (/.f64 (pow.f64 b 3) (*.f64 a (PI.f64))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 b 2) (PI.f64))) (+.f64 (.f64 -2 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 a 2) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (.f64 a b) (PI.f64))) (.f64 -2 (/.f64 (pow.f64 b 3) (*.f64 a (PI.f64)))))))
(/.f64 (*.f64 a b) (PI.f64))
(-.f64 (+.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (/.f64 (.f64 a b) (PI.f64))) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64))))
(-.f64 (+.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (+.f64 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64)))) a) b) (/.f64 (.f64 a b) (PI.f64)))) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64))))
(-.f64 (+.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (+.f64 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64)))) a) b) (+.f64 (/.f64 (.f64 a b) (PI.f64)) (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64)))) (pow.f64 a 2)) (pow.f64 b 2))))) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64))))
(/.f64 (*.f64 a b) (PI.f64))
(-.f64 (+.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (/.f64 (.f64 a b) (PI.f64))) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64))))
(-.f64 (+.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (+.f64 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64)))) a) b) (/.f64 (.f64 a b) (PI.f64)))) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64))))
(-.f64 (+.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (+.f64 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64)))) a) b) (+.f64 (/.f64 (.f64 a b) (PI.f64)) (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64)))) (pow.f64 a 2)) (pow.f64 b 2))))) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64))))
(/.f64 (*.f64 a b) (PI.f64))
(+.f64 (/.f64 (.f64 a b) (PI.f64)) (.f64 2 (/.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (.f64 2 (/.f64 (pow.f64 a 3) (.f64 b (PI.f64)))) (+.f64 (/.f64 (.f64 a b) (PI.f64)) (.f64 2 (/.f64 (pow.f64 a 2) (PI.f64)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 a 3) (.f64 b (PI.f64)))) (+.f64 (/.f64 (.f64 a b) (PI.f64)) (+.f64 (.f64 2 (/.f64 (pow.f64 a 2) (PI.f64))) (.f64 2 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 b 2) (PI.f64)))))))
(.f64 -1 (/.f64 (.f64 a b) (PI.f64)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 a b) (PI.f64))) (*.f64 -1 (/.f64 (pow.f64 b 2) (PI.f64)))) (/.f64 (pow.f64 b 2) (PI.f64)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 a b) (PI.f64))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 b 2) (PI.f64))) (/.f64 (pow.f64 b 2) (PI.f64))) b) a) (*.f64 -1 (/.f64 (pow.f64 b 2) (PI.f64))))) (/.f64 (pow.f64 b 2) (PI.f64)))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 b 2) (PI.f64))) (/.f64 (pow.f64 b 2) (PI.f64))) (pow.f64 b 2)) (pow.f64 a 2)) (+.f64 (.f64 -1 (/.f64 (.f64 a b) (PI.f64))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 b 2) (PI.f64))) (/.f64 (pow.f64 b 2) (PI.f64))) b) a) (*.f64 -1 (/.f64 (pow.f64 b 2) (PI.f64)))))) (/.f64 (pow.f64 b 2) (PI.f64)))
(.f64 -1 (/.f64 (.f64 a b) (PI.f64)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 a b) (PI.f64))) (*.f64 -1 (/.f64 (pow.f64 b 2) (PI.f64)))) (/.f64 (pow.f64 b 2) (PI.f64)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 a b) (PI.f64))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 b 2) (PI.f64))) (/.f64 (pow.f64 b 2) (PI.f64))) b) a) (*.f64 -1 (/.f64 (pow.f64 b 2) (PI.f64))))) (/.f64 (pow.f64 b 2) (PI.f64)))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 b 2) (PI.f64))) (/.f64 (pow.f64 b 2) (PI.f64))) (pow.f64 b 2)) (pow.f64 a 2)) (+.f64 (.f64 -1 (/.f64 (.f64 a b) (PI.f64))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 b 2) (PI.f64))) (/.f64 (pow.f64 b 2) (PI.f64))) b) a) (*.f64 -1 (/.f64 (pow.f64 b 2) (PI.f64)))))) (/.f64 (pow.f64 b 2) (PI.f64)))
(/.f64 (*.f64 (pow.f64 a 2) b) (PI.f64))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) b) (PI.f64)) (.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 a (.f64 -1 a)) (PI.f64))) (*.f64 -1 (/.f64 a (PI.f64)))) (pow.f64 b 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) b) (PI.f64)) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 a (.f64 -1 a)) (PI.f64))) (.f64 -1 (/.f64 a (PI.f64)))) (pow.f64 b 2)) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 a (.f64 -1 a)) (PI.f64))) (*.f64 -1 (/.f64 a (PI.f64)))) a)) (/.f64 1 (PI.f64))) (pow.f64 b 3)))))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) b) (PI.f64)) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 a (.f64 -1 a)) (PI.f64))) (.f64 -1 (/.f64 a (PI.f64)))) (pow.f64 b 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 a (.f64 -1 a)) (PI.f64))) (.f64 -1 (/.f64 a (PI.f64)))) (pow.f64 a 2))) (/.f64 1 (.f64 a (PI.f64)))) (pow.f64 b 4))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 a (.f64 -1 a)) (PI.f64))) (.f64 -1 (/.f64 a (PI.f64)))) a)) (/.f64 1 (PI.f64))) (pow.f64 b 3))))))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(+.f64 (.f64 (-.f64 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) a) (PI.f64)) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64)))) b) (/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 a 3) (PI.f64))) (+.f64 (.f64 (-.f64 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) a) (PI.f64)) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64)))) b) (/.f64 (.f64 a (pow.f64 b 2)) (PI.f64)))) (.f64 -1 (.f64 a (-.f64 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) a) (PI.f64)) (*.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64)))))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 a 3) (PI.f64))) (+.f64 (.f64 (-.f64 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) a) (PI.f64)) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64)))) b) (+.f64 (/.f64 (.f64 a (-.f64 (.f64 -1 (/.f64 (pow.f64 a 3) (PI.f64))) (.f64 -1 (.f64 a (-.f64 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) a) (PI.f64)) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64)))))))) b) (/.f64 (.f64 a (pow.f64 b 2)) (PI.f64))))) (.f64 -1 (.f64 a (-.f64 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) a) (PI.f64)) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64)))))))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(+.f64 (.f64 (-.f64 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) a) (PI.f64)) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64)))) b) (/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64)))
(+.f64 (.f64 (-.f64 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) a) (PI.f64)) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64)))) b) (+.f64 (.f64 -1 (-.f64 (/.f64 (pow.f64 a 3) (PI.f64)) (.f64 a (-.f64 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) a) (PI.f64)) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64))))))) (/.f64 (.f64 a (pow.f64 b 2)) (PI.f64))))
(+.f64 (.f64 (-.f64 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) a) (PI.f64)) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64)))) b) (+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 (/.f64 (pow.f64 a 3) (PI.f64)) (.f64 a (-.f64 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) a) (PI.f64)) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64))))))) b)) (+.f64 (.f64 -1 (-.f64 (/.f64 (pow.f64 a 3) (PI.f64)) (.f64 a (-.f64 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) a) (PI.f64)) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64))))))) (/.f64 (.f64 a (pow.f64 b 2)) (PI.f64)))))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) b) (PI.f64)) (/.f64 (.f64 a (pow.f64 b 2)) (PI.f64)))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) b) (PI.f64)) (/.f64 (.f64 a (pow.f64 b 2)) (PI.f64)))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) b) (PI.f64)) (/.f64 (.f64 a (pow.f64 b 2)) (PI.f64)))
(/.f64 (*.f64 (pow.f64 a 2) b) (PI.f64))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) b) (PI.f64)) (.f64 a (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) b) (PI.f64))) (.f64 -1 (/.f64 (pow.f64 b 2) (PI.f64))))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (PI.f64))) (+.f64 (/.f64 (.f64 (pow.f64 a 2) b) (PI.f64)) (.f64 a (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) b) (PI.f64))) (.f64 -1 (/.f64 (pow.f64 b 2) (PI.f64))))))) (.f64 -1 (.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) b) (PI.f64))) (*.f64 -1 (/.f64 (pow.f64 b 2) (PI.f64)))) b)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (PI.f64))) (+.f64 (/.f64 (.f64 (pow.f64 a 2) b) (PI.f64)) (+.f64 (.f64 a (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) b) (PI.f64))) (.f64 -1 (/.f64 (pow.f64 b 2) (PI.f64))))) (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (PI.f64))) (.f64 -1 (.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) b) (PI.f64))) (.f64 -1 (/.f64 (pow.f64 b 2) (PI.f64)))) b))) b) a)))) (.f64 -1 (.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) b) (PI.f64))) (*.f64 -1 (/.f64 (pow.f64 b 2) (PI.f64)))) b)))
(/.f64 (*.f64 (pow.f64 a 2) b) (PI.f64))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) b) (PI.f64)) (.f64 -1 (.f64 a (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) b) (PI.f64))) (/.f64 (pow.f64 b 2) (PI.f64))))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (PI.f64))) (+.f64 (/.f64 (.f64 (pow.f64 a 2) b) (PI.f64)) (.f64 -1 (.f64 a (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) b) (PI.f64))) (/.f64 (pow.f64 b 2) (PI.f64))))))) (.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (*.f64 -1 b)) b) (PI.f64))) (/.f64 (pow.f64 b 2) (PI.f64))) b))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (PI.f64))) (.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) b) (PI.f64))) (/.f64 (pow.f64 b 2) (PI.f64))) b)) b) a) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (PI.f64))) (+.f64 (/.f64 (.f64 (pow.f64 a 2) b) (PI.f64)) (.f64 -1 (.f64 a (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) b) (PI.f64))) (/.f64 (pow.f64 b 2) (PI.f64)))))))) (.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (*.f64 -1 b)) b) (PI.f64))) (/.f64 (pow.f64 b 2) (PI.f64))) b))

Outputs
(.f64 -1 (/.f64 (.f64 a b) (PI.f64)))
(neg.f64 (/.f64 a (/.f64 (PI.f64) b)))
(/.f64 (neg.f64 a) (/.f64 (PI.f64) b))
(+.f64 (.f64 -2 (/.f64 (pow.f64 b 2) (PI.f64))) (.f64 -1 (/.f64 (*.f64 a b) (PI.f64))))
(fma.f64 -2 (/.f64 (*.f64 b b) (PI.f64)) (neg.f64 (/.f64 a (/.f64 (PI.f64) b))))
(-.f64 (.f64 -2 (/.f64 b (/.f64 (PI.f64) b))) (.f64 (/.f64 a (PI.f64)) b))
(fma.f64 -2 (*.f64 (/.f64 b (PI.f64)) b) (/.f64 (neg.f64 a) (/.f64 (PI.f64) b)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 b 2) (PI.f64))) (+.f64 (.f64 -1 (/.f64 (.f64 a b) (PI.f64))) (.f64 -2 (/.f64 (pow.f64 b 3) (*.f64 a (PI.f64))))))
(fma.f64 -2 (/.f64 (.f64 b b) (PI.f64)) (fma.f64 -1 (/.f64 a (/.f64 (PI.f64) b)) (.f64 -2 (/.f64 (pow.f64 b 3) (*.f64 a (PI.f64))))))
(fma.f64 -2 (/.f64 b (/.f64 (PI.f64) b)) (fma.f64 -2 (/.f64 (pow.f64 b 3) (*.f64 a (PI.f64))) (/.f64 (neg.f64 a) (/.f64 (PI.f64) b))))
(-.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (PI.f64))) (.f64 (/.f64 b (PI.f64)) b))) (.f64 (/.f64 a (PI.f64)) b))
(+.f64 (.f64 -2 (/.f64 (pow.f64 b 2) (PI.f64))) (+.f64 (.f64 -2 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 a 2) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (.f64 a b) (PI.f64))) (.f64 -2 (/.f64 (pow.f64 b 3) (*.f64 a (PI.f64)))))))
(fma.f64 -2 (/.f64 (.f64 b b) (PI.f64)) (fma.f64 -2 (/.f64 (pow.f64 b 4) (.f64 (PI.f64) (.f64 a a))) (fma.f64 -1 (/.f64 a (/.f64 (PI.f64) b)) (.f64 -2 (/.f64 (pow.f64 b 3) (*.f64 a (PI.f64)))))))
(fma.f64 -2 (/.f64 b (/.f64 (PI.f64) b)) (fma.f64 -2 (/.f64 (pow.f64 b 4) (.f64 a (.f64 a (PI.f64)))) (fma.f64 -2 (/.f64 (pow.f64 b 3) (*.f64 a (PI.f64))) (/.f64 (neg.f64 a) (/.f64 (PI.f64) b)))))
(fma.f64 -2 (.f64 (/.f64 b (PI.f64)) b) (-.f64 (.f64 (/.f64 -2 (PI.f64)) (+.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) (/.f64 (pow.f64 b 3) a))) (.f64 (/.f64 a (PI.f64)) b)))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 a (/.f64 (PI.f64) b))
(*.f64 (/.f64 a (PI.f64)) b)
(-.f64 (+.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (/.f64 (.f64 a b) (PI.f64))) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (/.f64 (.f64 a a) (PI.f64)) (-.f64 (/.f64 a (/.f64 (PI.f64) b)) (neg.f64 (/.f64 (.f64 a a) (PI.f64)))))
(fma.f64 2 (/.f64 a (/.f64 (PI.f64) a)) (*.f64 (/.f64 a (PI.f64)) b))
(fma.f64 (/.f64 a (PI.f64)) b (.f64 2 (.f64 (/.f64 a (PI.f64)) a)))
(-.f64 (+.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (+.f64 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64)))) a) b) (/.f64 (.f64 a b) (PI.f64)))) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (/.f64 (.f64 a a) (PI.f64)) (-.f64 (+.f64 (/.f64 a (/.f64 (PI.f64) b)) (/.f64 (-.f64 (/.f64 (.f64 a a) (PI.f64)) (neg.f64 (/.f64 (.f64 a a) (PI.f64)))) (/.f64 b a))) (neg.f64 (/.f64 (.f64 a a) (PI.f64)))))
(+.f64 (+.f64 (.f64 (/.f64 a (PI.f64)) b) (/.f64 a (/.f64 b (/.f64 2 (/.f64 (PI.f64) (.f64 a a)))))) (/.f64 2 (/.f64 (PI.f64) (*.f64 a a))))
(fma.f64 (/.f64 a (PI.f64)) b (.f64 2 (+.f64 (.f64 (/.f64 a (PI.f64)) a) (/.f64 (pow.f64 a 3) (*.f64 b (PI.f64))))))
(-.f64 (+.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (+.f64 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64)))) a) b) (+.f64 (/.f64 (.f64 a b) (PI.f64)) (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64)))) (pow.f64 a 2)) (pow.f64 b 2))))) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (/.f64 (.f64 a a) (PI.f64)) (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 (.f64 a a) (PI.f64)) (neg.f64 (/.f64 (.f64 a a) (PI.f64)))) (/.f64 b a)) (+.f64 (/.f64 a (/.f64 (PI.f64) b)) (/.f64 (-.f64 (/.f64 (.f64 a a) (PI.f64)) (neg.f64 (/.f64 (.f64 a a) (PI.f64)))) (/.f64 (.f64 b b) (.f64 a a))))) (neg.f64 (/.f64 (.f64 a a) (PI.f64)))))
(+.f64 (+.f64 (.f64 (/.f64 a (PI.f64)) b) (+.f64 (/.f64 a (/.f64 b (/.f64 2 (/.f64 (PI.f64) (.f64 a a))))) (.f64 (/.f64 (.f64 a a) b) (/.f64 (/.f64 2 (/.f64 (PI.f64) (.f64 a a))) b)))) (/.f64 2 (/.f64 (PI.f64) (.f64 a a))))
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(/.f64 (*.f64 a b) (PI.f64))
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(*.f64 (/.f64 a (PI.f64)) b)
(-.f64 (+.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (/.f64 (.f64 a b) (PI.f64))) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (/.f64 (.f64 a a) (PI.f64)) (-.f64 (/.f64 a (/.f64 (PI.f64) b)) (neg.f64 (/.f64 (.f64 a a) (PI.f64)))))
(fma.f64 2 (/.f64 a (/.f64 (PI.f64) a)) (*.f64 (/.f64 a (PI.f64)) b))
(fma.f64 (/.f64 a (PI.f64)) b (.f64 2 (.f64 (/.f64 a (PI.f64)) a)))
(-.f64 (+.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (+.f64 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64)))) a) b) (/.f64 (.f64 a b) (PI.f64)))) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64))))
(+.f64 (/.f64 (.f64 a a) (PI.f64)) (-.f64 (+.f64 (/.f64 a (/.f64 (PI.f64) b)) (/.f64 (-.f64 (/.f64 (.f64 a a) (PI.f64)) (neg.f64 (/.f64 (.f64 a a) (PI.f64)))) (/.f64 b a))) (neg.f64 (/.f64 (.f64 a a) (PI.f64)))))
(+.f64 (+.f64 (.f64 (/.f64 a (PI.f64)) b) (/.f64 a (/.f64 b (/.f64 2 (/.f64 (PI.f64) (.f64 a a)))))) (/.f64 2 (/.f64 (PI.f64) (*.f64 a a))))
(fma.f64 (/.f64 a (PI.f64)) b (.f64 2 (+.f64 (.f64 (/.f64 a (PI.f64)) a) (/.f64 (pow.f64 a 3) (*.f64 b (PI.f64))))))
(-.f64 (+.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (+.f64 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64)))) a) b) (+.f64 (/.f64 (.f64 a b) (PI.f64)) (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 a 2) (PI.f64)) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64)))) (pow.f64 a 2)) (pow.f64 b 2))))) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64))))
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(+.f64 (-.f64 (fma.f64 b (+.f64 (/.f64 a (/.f64 (PI.f64) a)) (/.f64 0 (PI.f64))) (.f64 (/.f64 a (PI.f64)) (.f64 b b))) (/.f64 (pow.f64 a 3) (PI.f64))) (+.f64 (/.f64 0 (PI.f64)) (*.f64 (/.f64 a (/.f64 (PI.f64) a)) a)))
(-.f64 (fma.f64 (/.f64 a (PI.f64)) (.f64 b b) (.f64 (*.f64 (/.f64 a (PI.f64)) a) (-.f64 b (neg.f64 a)))) (/.f64 (pow.f64 a 3) (PI.f64)))
(+.f64 (.f64 (-.f64 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) a) (PI.f64)) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64)))) b) (+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 (/.f64 (pow.f64 a 3) (PI.f64)) (.f64 a (-.f64 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) a) (PI.f64)) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64))))))) b)) (+.f64 (.f64 -1 (-.f64 (/.f64 (pow.f64 a 3) (PI.f64)) (.f64 a (-.f64 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) a) (PI.f64)) (.f64 -1 (/.f64 (pow.f64 a 2) (PI.f64))))))) (/.f64 (.f64 a (pow.f64 b 2)) (PI.f64)))))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 a 3) (PI.f64)) (fma.f64 (-.f64 (/.f64 (.f64 a (.f64 0 a)) (PI.f64)) (neg.f64 (/.f64 (.f64 a a) (PI.f64)))) b (+.f64 (/.f64 a (/.f64 (PI.f64) (.f64 b b))) (/.f64 a (/.f64 b (neg.f64 (-.f64 (/.f64 (pow.f64 a 3) (PI.f64)) (.f64 a (-.f64 (/.f64 (.f64 a (.f64 0 a)) (PI.f64)) (neg.f64 (/.f64 (.f64 a a) (PI.f64)))))))))))) (.f64 (neg.f64 a) (-.f64 (/.f64 (.f64 a (.f64 0 a)) (PI.f64)) (neg.f64 (/.f64 (.f64 a a) (PI.f64))))))
(fma.f64 b (+.f64 (/.f64 a (/.f64 (PI.f64) a)) (/.f64 0 (PI.f64))) (-.f64 (-.f64 (.f64 (/.f64 a (PI.f64)) (.f64 b b)) (-.f64 (/.f64 (pow.f64 a 3) (PI.f64)) (+.f64 (/.f64 0 (PI.f64)) (.f64 (/.f64 a (/.f64 (PI.f64) a)) a)))) (.f64 (/.f64 a b) (-.f64 (/.f64 (pow.f64 a 3) (PI.f64)) (+.f64 (/.f64 0 (PI.f64)) (*.f64 (/.f64 a (/.f64 (PI.f64) a)) a))))))
(+.f64 (.f64 (+.f64 (/.f64 a b) 1) (-.f64 (/.f64 (pow.f64 a 3) (PI.f64)) (/.f64 (pow.f64 a 3) (PI.f64)))) (.f64 b (fma.f64 (/.f64 a (PI.f64)) b (*.f64 (/.f64 a (PI.f64)) a))))
(/.f64 (*.f64 a (pow.f64 b 2)) (PI.f64))
(/.f64 a (/.f64 (PI.f64) (*.f64 b b)))
(.f64 (/.f64 a (PI.f64)) (.f64 b b))
(.f64 a (.f64 (/.f64 b (PI.f64)) b))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) b) (PI.f64)) (/.f64 (.f64 a (pow.f64 b 2)) (PI.f64)))
(+.f64 (/.f64 (.f64 a a) (/.f64 (PI.f64) b)) (.f64 (.f64 b b) (.f64 -1 (-.f64 (/.f64 (*.f64 0 a) (PI.f64)) (/.f64 a (PI.f64))))))
(fma.f64 (.f64 b b) (+.f64 (/.f64 0 (PI.f64)) (/.f64 a (PI.f64))) (/.f64 b (/.f64 (PI.f64) (.f64 a a))))
(.f64 b (fma.f64 (/.f64 a (PI.f64)) b (.f64 (/.f64 a (PI.f64)) a)))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) b) (PI.f64)) (/.f64 (.f64 a (pow.f64 b 2)) (PI.f64)))
(+.f64 (/.f64 (.f64 a a) (/.f64 (PI.f64) b)) (.f64 (.f64 b b) (.f64 -1 (-.f64 (/.f64 (*.f64 0 a) (PI.f64)) (/.f64 a (PI.f64))))))
(fma.f64 (.f64 b b) (+.f64 (/.f64 0 (PI.f64)) (/.f64 a (PI.f64))) (/.f64 b (/.f64 (PI.f64) (.f64 a a))))
(.f64 b (fma.f64 (/.f64 a (PI.f64)) b (.f64 (/.f64 a (PI.f64)) a)))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) b) (PI.f64)) (/.f64 (.f64 a (pow.f64 b 2)) (PI.f64)))
(+.f64 (/.f64 (.f64 a a) (/.f64 (PI.f64) b)) (.f64 (.f64 b b) (.f64 -1 (-.f64 (/.f64 (*.f64 0 a) (PI.f64)) (/.f64 a (PI.f64))))))
(fma.f64 (.f64 b b) (+.f64 (/.f64 0 (PI.f64)) (/.f64 a (PI.f64))) (/.f64 b (/.f64 (PI.f64) (.f64 a a))))
(.f64 b (fma.f64 (/.f64 a (PI.f64)) b (.f64 (/.f64 a (PI.f64)) a)))
(/.f64 (*.f64 (pow.f64 a 2) b) (PI.f64))
(/.f64 (*.f64 a a) (/.f64 (PI.f64) b))
(/.f64 b (/.f64 (PI.f64) (*.f64 a a)))
(.f64 b (.f64 (/.f64 a (PI.f64)) a))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) b) (PI.f64)) (.f64 a (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) b) (PI.f64))) (.f64 -1 (/.f64 (pow.f64 b 2) (PI.f64))))))
(+.f64 (/.f64 (.f64 a a) (/.f64 (PI.f64) b)) (.f64 (.f64 b b) (.f64 -1 (-.f64 (/.f64 (*.f64 0 a) (PI.f64)) (/.f64 a (PI.f64))))))
(fma.f64 (.f64 b b) (+.f64 (/.f64 0 (PI.f64)) (/.f64 a (PI.f64))) (/.f64 b (/.f64 (PI.f64) (.f64 a a))))
(.f64 b (fma.f64 (/.f64 a (PI.f64)) b (.f64 (/.f64 a (PI.f64)) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (PI.f64))) (+.f64 (/.f64 (.f64 (pow.f64 a 2) b) (PI.f64)) (.f64 a (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) b) (PI.f64))) (.f64 -1 (/.f64 (pow.f64 b 2) (PI.f64))))))) (.f64 -1 (.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) b) (PI.f64))) (*.f64 -1 (/.f64 (pow.f64 b 2) (PI.f64)))) b)))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 b 3) (PI.f64)) (+.f64 (/.f64 (.f64 a a) (/.f64 (PI.f64) b)) (.f64 a (.f64 -1 (-.f64 (/.f64 (.f64 0 b) (/.f64 (PI.f64) b)) (/.f64 (.f64 b b) (PI.f64))))))) (neg.f64 (.f64 b (.f64 -1 (-.f64 (/.f64 (.f64 0 b) (/.f64 (PI.f64) b)) (/.f64 (*.f64 b b) (PI.f64)))))))
(+.f64 (+.f64 (/.f64 0 (PI.f64)) (.f64 (/.f64 b (/.f64 (PI.f64) b)) b)) (-.f64 (fma.f64 a (+.f64 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 0 (PI.f64))) (/.f64 b (/.f64 (PI.f64) (.f64 a a)))) (/.f64 (pow.f64 b 3) (PI.f64))))
(-.f64 (fma.f64 (.f64 (/.f64 a (PI.f64)) a) b (.f64 (*.f64 (/.f64 b (PI.f64)) b) (+.f64 a b))) (/.f64 (pow.f64 b 3) (PI.f64)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (PI.f64))) (+.f64 (/.f64 (.f64 (pow.f64 a 2) b) (PI.f64)) (+.f64 (.f64 a (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) b) (PI.f64))) (.f64 -1 (/.f64 (pow.f64 b 2) (PI.f64))))) (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (PI.f64))) (.f64 -1 (.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) b) (PI.f64))) (.f64 -1 (/.f64 (pow.f64 b 2) (PI.f64)))) b))) b) a)))) (.f64 -1 (.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) b) (PI.f64))) (*.f64 -1 (/.f64 (pow.f64 b 2) (PI.f64)))) b)))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 b 3) (PI.f64)) (+.f64 (/.f64 (.f64 a a) (/.f64 (PI.f64) b)) (fma.f64 a (.f64 -1 (-.f64 (/.f64 (.f64 0 b) (/.f64 (PI.f64) b)) (/.f64 (.f64 b b) (PI.f64)))) (/.f64 (.f64 -1 (-.f64 (/.f64 (pow.f64 b 3) (PI.f64)) (.f64 b (.f64 -1 (-.f64 (/.f64 (.f64 0 b) (/.f64 (PI.f64) b)) (/.f64 (.f64 b b) (PI.f64))))))) (/.f64 a b))))) (neg.f64 (.f64 b (.f64 -1 (-.f64 (/.f64 (.f64 0 b) (/.f64 (PI.f64) b)) (/.f64 (*.f64 b b) (PI.f64)))))))
(+.f64 (-.f64 (fma.f64 a (+.f64 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 0 (PI.f64))) (/.f64 b (/.f64 (PI.f64) (.f64 a a)))) (/.f64 (pow.f64 b 3) (PI.f64))) (+.f64 (/.f64 b (/.f64 a (fma.f64 -1 (/.f64 (pow.f64 b 3) (PI.f64)) (+.f64 (/.f64 0 (PI.f64)) (.f64 (/.f64 b (/.f64 (PI.f64) b)) b))))) (+.f64 (/.f64 0 (PI.f64)) (*.f64 (/.f64 b (/.f64 (PI.f64) b)) b))))
(fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 b 3) (PI.f64)) (/.f64 (pow.f64 b 3) (PI.f64))) a) b (-.f64 (fma.f64 (.f64 (/.f64 a (PI.f64)) a) b (.f64 (*.f64 (/.f64 b (PI.f64)) b) (+.f64 a b))) (/.f64 (pow.f64 b 3) (PI.f64))))
(/.f64 (*.f64 (pow.f64 a 2) b) (PI.f64))
(/.f64 (*.f64 a a) (/.f64 (PI.f64) b))
(/.f64 b (/.f64 (PI.f64) (*.f64 a a)))
(.f64 b (.f64 (/.f64 a (PI.f64)) a))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) b) (PI.f64)) (.f64 -1 (.f64 a (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) b) (PI.f64))) (/.f64 (pow.f64 b 2) (PI.f64))))))
(+.f64 (/.f64 (.f64 a a) (/.f64 (PI.f64) b)) (.f64 (.f64 b b) (.f64 -1 (-.f64 (/.f64 (*.f64 0 a) (PI.f64)) (/.f64 a (PI.f64))))))
(fma.f64 (.f64 b b) (+.f64 (/.f64 0 (PI.f64)) (/.f64 a (PI.f64))) (/.f64 b (/.f64 (PI.f64) (.f64 a a))))
(.f64 b (fma.f64 (/.f64 a (PI.f64)) b (.f64 (/.f64 a (PI.f64)) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (PI.f64))) (+.f64 (/.f64 (.f64 (pow.f64 a 2) b) (PI.f64)) (.f64 -1 (.f64 a (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) b) (PI.f64))) (/.f64 (pow.f64 b 2) (PI.f64))))))) (.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (*.f64 -1 b)) b) (PI.f64))) (/.f64 (pow.f64 b 2) (PI.f64))) b))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 b 3) (PI.f64)) (+.f64 (/.f64 (.f64 a a) (/.f64 (PI.f64) b)) (.f64 a (.f64 -1 (-.f64 (/.f64 (.f64 0 b) (/.f64 (PI.f64) b)) (/.f64 (.f64 b b) (PI.f64))))))) (neg.f64 (.f64 b (.f64 -1 (-.f64 (/.f64 (.f64 0 b) (/.f64 (PI.f64) b)) (/.f64 (*.f64 b b) (PI.f64)))))))
(+.f64 (+.f64 (/.f64 0 (PI.f64)) (.f64 (/.f64 b (/.f64 (PI.f64) b)) b)) (-.f64 (fma.f64 a (+.f64 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 0 (PI.f64))) (/.f64 b (/.f64 (PI.f64) (.f64 a a)))) (/.f64 (pow.f64 b 3) (PI.f64))))
(-.f64 (fma.f64 (.f64 (/.f64 a (PI.f64)) a) b (.f64 (*.f64 (/.f64 b (PI.f64)) b) (+.f64 a b))) (/.f64 (pow.f64 b 3) (PI.f64)))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (PI.f64))) (.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) b) (PI.f64))) (/.f64 (pow.f64 b 2) (PI.f64))) b)) b) a) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (PI.f64))) (+.f64 (/.f64 (.f64 (pow.f64 a 2) b) (PI.f64)) (.f64 -1 (.f64 a (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) b) (PI.f64))) (/.f64 (pow.f64 b 2) (PI.f64)))))))) (.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (*.f64 -1 b)) b) (PI.f64))) (/.f64 (pow.f64 b 2) (PI.f64))) b))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 b 3) (PI.f64)) (+.f64 (/.f64 (.f64 a a) (/.f64 (PI.f64) b)) (fma.f64 a (.f64 -1 (-.f64 (/.f64 (.f64 0 b) (/.f64 (PI.f64) b)) (/.f64 (.f64 b b) (PI.f64)))) (/.f64 (.f64 -1 (-.f64 (/.f64 (pow.f64 b 3) (PI.f64)) (.f64 b (.f64 -1 (-.f64 (/.f64 (.f64 0 b) (/.f64 (PI.f64) b)) (/.f64 (.f64 b b) (PI.f64))))))) (/.f64 a b))))) (neg.f64 (.f64 b (.f64 -1 (-.f64 (/.f64 (.f64 0 b) (/.f64 (PI.f64) b)) (/.f64 (*.f64 b b) (PI.f64)))))))
(+.f64 (-.f64 (fma.f64 a (+.f64 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 0 (PI.f64))) (/.f64 b (/.f64 (PI.f64) (.f64 a a)))) (/.f64 (pow.f64 b 3) (PI.f64))) (+.f64 (/.f64 b (/.f64 a (fma.f64 -1 (/.f64 (pow.f64 b 3) (PI.f64)) (+.f64 (/.f64 0 (PI.f64)) (.f64 (/.f64 b (/.f64 (PI.f64) b)) b))))) (+.f64 (/.f64 0 (PI.f64)) (*.f64 (/.f64 b (/.f64 (PI.f64) b)) b))))
(fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 b 3) (PI.f64)) (/.f64 (pow.f64 b 3) (PI.f64))) a) b (-.f64 (fma.f64 (.f64 (/.f64 a (PI.f64)) a) b (.f64 (*.f64 (/.f64 b (PI.f64)) b) (+.f64 a b))) (/.f64 (pow.f64 b 3) (PI.f64))))

prune349.0ms (8.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	182	4	186
Fresh	3	8	11
Picked	1	0	1
Done	0	1	1
Total	186	13	199

Error

Counts

199 → 13

Alt Table

Status	Error	Program
	31.5b	(.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2)) (+.f64 b a)) (/.f64 (sqrt.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2)) (-.f64 b a)))
	19.7b	(.f64 (/.f64 1/2 (.f64 (/.f64 (*.f64 a b) (PI.f64)) (-.f64 b a))) 1)
	0.8b	(.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 b a) (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (-.f64 b a))) 3)) 1)
	23.1b	(.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 a b)))) 1)
	23.2b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 a b)))
	18.0b	(.f64 (/.f64 1/2 (.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 b a) (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 3)) (-.f64 b a))) 1)
	17.9b	(.f64 (.f64 (/.f64 (neg.f64 (/.f64 (PI.f64) b)) a) (/.f64 1/2 (-.f64 b a))) 1)
✓	15.9b	(/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (-.f64 (.f64 b b) (.f64 a a)))
	5.8b	(.f64 (/.f64 1/2 (.f64 b (fma.f64 (/.f64 a (PI.f64)) b (*.f64 (/.f64 a (PI.f64)) a)))) 1)
	0.8b	(.f64 (.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (+.f64 b a))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (+.f64 b a))) 2)) (/.f64 1/2 (-.f64 b a))) 1)
	16.0b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
▶	0.3b	(.f64 (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (pow.f64 (/.f64 a (PI.f64)) -1)) (+.f64 b a)) (/.f64 1/2 (-.f64 b a))) 1)
	0.3b	(.f64 (/.f64 1 (/.f64 (+.f64 b a) (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (-.f64 b a))))) 1)

Compiler

Compiled 6006 to 3262 computations (45.7% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series9.0ms (0.2%)

Counts

4 → 60

Calls

18 calls:

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

rewrite46.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

178×	`add-sqr-sqrt_binary64`
173×	`pow1_binary64`
172×	`*-un-lft-identity_binary64`
166×	`add-log-exp_binary64`
166×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	66
1	347	57

Stop Event

1×	node limit

Counts

4 → 165

Calls

Call 1

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

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

simplify64.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

258×	`fma-def_binary64`
252×	`cancel-sign-sub-inv_binary64`
207×	`fma-neg_binary64`
189×	`distribute-rgt-neg-out_binary64`
162×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	2971
1	798	2498
2	3515	1601

Stop Event

1×	node limit

Counts

225 → 222

Calls

Call 1

Inputs
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) a)
(.f64 -1 (/.f64 (PI.f64) (.f64 a b)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (pow.f64 a 3))) b) (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 2)))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))
(-.f64 (+.f64 (.f64 (-.f64 (/.f64 (PI.f64) (pow.f64 a 4)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 4)))) (pow.f64 b 2)) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (pow.f64 a 3))) b) (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 2))))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))
(/.f64 (PI.f64) (*.f64 a b))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (/.f64 (PI.f64) (.f64 a b))) (/.f64 (PI.f64) (pow.f64 b 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (+.f64 (/.f64 (PI.f64) (.f64 a b)) (.f64 -1 (/.f64 (.f64 a (-.f64 (*.f64 -1 (PI.f64)) (PI.f64))) (pow.f64 b 3))))) (/.f64 (PI.f64) (pow.f64 b 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (+.f64 (/.f64 (PI.f64) (.f64 a b)) (+.f64 (/.f64 (.f64 (pow.f64 a 2) (-.f64 (.f64 -1 (PI.f64)) (PI.f64))) (pow.f64 b 4)) (.f64 -1 (/.f64 (.f64 a (-.f64 (*.f64 -1 (PI.f64)) (PI.f64))) (pow.f64 b 3)))))) (/.f64 (PI.f64) (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a b))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (/.f64 (PI.f64) (.f64 a b))) (/.f64 (PI.f64) (pow.f64 b 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (+.f64 (/.f64 (PI.f64) (.f64 a b)) (.f64 -1 (/.f64 (.f64 a (-.f64 (*.f64 -1 (PI.f64)) (PI.f64))) (pow.f64 b 3))))) (/.f64 (PI.f64) (pow.f64 b 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (+.f64 (/.f64 (PI.f64) (.f64 a b)) (+.f64 (/.f64 (.f64 (pow.f64 a 2) (-.f64 (.f64 -1 (PI.f64)) (PI.f64))) (pow.f64 b 4)) (.f64 -1 (/.f64 (.f64 a (-.f64 (*.f64 -1 (PI.f64)) (PI.f64))) (pow.f64 b 3)))))) (/.f64 (PI.f64) (pow.f64 b 2)))
(/.f64 (PI.f64) (*.f64 a b))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (/.f64 (PI.f64) (.f64 a b))) (/.f64 (PI.f64) (pow.f64 b 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (+.f64 (.f64 (-.f64 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3)))) a) (/.f64 (PI.f64) (.f64 a b)))) (/.f64 (PI.f64) (pow.f64 b 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (+.f64 (.f64 (-.f64 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3)))) a) (+.f64 (/.f64 (PI.f64) (.f64 a b)) (.f64 (pow.f64 a 2) (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4))) (/.f64 (PI.f64) (pow.f64 b 4))))))) (/.f64 (PI.f64) (pow.f64 b 2)))
(.f64 -1 (/.f64 (PI.f64) (.f64 a b)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 a b))) (+.f64 (/.f64 (PI.f64) (pow.f64 a 2)) (.f64 -1 (/.f64 (.f64 b (-.f64 (PI.f64) (.f64 -1 (PI.f64)))) (pow.f64 a 3))))) (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 a b))) (+.f64 (/.f64 (PI.f64) (pow.f64 a 2)) (+.f64 (.f64 -1 (/.f64 (.f64 b (-.f64 (PI.f64) (.f64 -1 (PI.f64)))) (pow.f64 a 3))) (/.f64 (.f64 (pow.f64 b 2) (-.f64 (PI.f64) (.f64 -1 (PI.f64)))) (pow.f64 a 4))))) (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))
(.f64 -1 (/.f64 (PI.f64) (.f64 a b)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 a b))) (+.f64 (/.f64 (PI.f64) (pow.f64 a 2)) (.f64 -1 (/.f64 (.f64 b (-.f64 (PI.f64) (.f64 -1 (PI.f64)))) (pow.f64 a 3))))) (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 a b))) (+.f64 (/.f64 (PI.f64) (pow.f64 a 2)) (+.f64 (.f64 -1 (/.f64 (.f64 b (-.f64 (PI.f64) (.f64 -1 (PI.f64)))) (pow.f64 a 3))) (/.f64 (.f64 (-.f64 (PI.f64) (.f64 -1 (PI.f64))) (pow.f64 b 2)) (pow.f64 a 4))))) (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 -1 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 a 4))))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 -1/2 (.f64 b (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 -1 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 a 4)))) (+.f64 a (.f64 -1 a))) (pow.f64 a 2))) (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 4)))))) (+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 -1 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 a 4))))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 b 2) (+.f64 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 -1 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 a 4)))) (+.f64 a (.f64 -1 a))) (pow.f64 a 2))) (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 4))))) (pow.f64 a 2)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 -1 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 a 4)))) (pow.f64 a 2)))))) (+.f64 (.f64 -1/2 (.f64 b (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 -1 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 a 4)))) (+.f64 a (.f64 -1 a))) (pow.f64 a 2))) (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 4)))))) (+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 -1 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 a 4))))) (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2)))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) a)) (pow.f64 b 3))))
(+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 (+.f64 a (.f64 -1 a)) (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) a))) (.f64 -1 (.f64 a (PI.f64)))) (pow.f64 b 4))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) a)) (pow.f64 b 3)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 a (.f64 -1 a)) (+.f64 (.f64 (+.f64 a (.f64 -1 a)) (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) a))) (.f64 -1 (.f64 a (PI.f64)))))) (.f64 -1 (.f64 (pow.f64 a 2) (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) a))))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 (+.f64 a (.f64 -1 a)) (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) a))) (.f64 -1 (.f64 a (PI.f64)))) (pow.f64 b 4))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) a)) (pow.f64 b 3))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2)))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) a)) (pow.f64 b 3))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 a (PI.f64)) (.f64 -1 (.f64 (+.f64 a (.f64 -1 a)) (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) a))))) (pow.f64 b 4))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2)))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) a)) (pow.f64 b 3)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 (+.f64 (.f64 a (PI.f64)) (.f64 -1 (.f64 (+.f64 a (.f64 -1 a)) (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) a))))) (+.f64 a (.f64 -1 a))) (.f64 -1 (.f64 (pow.f64 a 2) (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) a))))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 a (PI.f64)) (.f64 -1 (.f64 (+.f64 a (.f64 -1 a)) (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) a))))) (pow.f64 b 4))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2)))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (/.f64 (.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a)) (pow.f64 b 3))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2)))) (.f64 1/2 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) (pow.f64 b 4)))))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4))) (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) (pow.f64 b 4))) (+.f64 b (.f64 -1 b))) (pow.f64 b 2))) a)) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2)))) (.f64 1/2 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) (pow.f64 b 4))))))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4))) (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) (pow.f64 b 4))) (+.f64 b (.f64 -1 b))) (pow.f64 b 2))) a)) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) (pow.f64 b 4))) (pow.f64 b 2))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4))) (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) (pow.f64 b 4))) (+.f64 b (.f64 -1 b))) (pow.f64 b 2))) (+.f64 b (.f64 -1 b))) (pow.f64 b 2)))))) (.f64 1/2 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 b 4)))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))))) (.f64 -1 (.f64 b (PI.f64)))) (pow.f64 a 4))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3)))))
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(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))))) (.f64 -1 (.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 (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))))) (.f64 -1 (.f64 b (PI.f64)))) (+.f64 b (.f64 -1 b))) (.f64 -1 (.f64 (pow.f64 b 2) (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b)))))) (pow.f64 a 5))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))))) (.f64 -1 (.f64 b (PI.f64)))) (pow.f64 a 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))))

Outputs
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) a)
(.f64 -1 (/.f64 (PI.f64) (.f64 a b)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 a b))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))
(-.f64 (fma.f64 -1 (/.f64 (PI.f64) (.f64 a b)) (/.f64 (PI.f64) (.f64 a a))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a a)))
(+.f64 (/.f64 (PI.f64) (.f64 a a)) (-.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 (PI.f64) (*.f64 a b))))
(-.f64 (/.f64 (.f64 2 (PI.f64)) (.f64 a a)) (/.f64 (PI.f64) (*.f64 a b)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (pow.f64 a 3))) b) (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 2)))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))
(-.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 a 3)) (/.f64 (PI.f64) (pow.f64 a 3))) b (fma.f64 -1 (/.f64 (PI.f64) (.f64 a b)) (/.f64 (PI.f64) (.f64 a a)))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a a)))
(fma.f64 b (.f64 (/.f64 (PI.f64) (pow.f64 a 3)) -2) (+.f64 (/.f64 (PI.f64) (.f64 a a)) (-.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 (PI.f64) (.f64 a b)))))
(fma.f64 b (.f64 (/.f64 (PI.f64) (pow.f64 a 3)) -2) (-.f64 (/.f64 (.f64 2 (PI.f64)) (.f64 a a)) (/.f64 (PI.f64) (.f64 a b))))
(-.f64 (+.f64 (.f64 (-.f64 (/.f64 (PI.f64) (pow.f64 a 4)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 4)))) (pow.f64 b 2)) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (pow.f64 a 3))) b) (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 2))))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 2))))
(-.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) (pow.f64 a 4)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 a 4))) (.f64 b b) (fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 a 3)) (/.f64 (PI.f64) (pow.f64 a 3))) b (fma.f64 -1 (/.f64 (PI.f64) (.f64 a b)) (/.f64 (PI.f64) (.f64 a a))))) (/.f64 (neg.f64 (PI.f64)) (.f64 a a)))
(fma.f64 (.f64 2 (/.f64 (PI.f64) (pow.f64 a 4))) (.f64 b b) (fma.f64 b (.f64 (/.f64 (PI.f64) (pow.f64 a 3)) -2) (+.f64 (/.f64 (PI.f64) (.f64 a a)) (-.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 (PI.f64) (.f64 a b))))))
(fma.f64 (.f64 2 (/.f64 (PI.f64) (pow.f64 a 4))) (.f64 b b) (fma.f64 b (.f64 (/.f64 (PI.f64) (pow.f64 a 3)) -2) (-.f64 (/.f64 (.f64 2 (PI.f64)) (.f64 a a)) (/.f64 (PI.f64) (.f64 a b)))))
(/.f64 (PI.f64) (*.f64 a b))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (/.f64 (PI.f64) (.f64 a b))) (/.f64 (PI.f64) (pow.f64 b 2)))
(-.f64 (fma.f64 -1 (/.f64 (PI.f64) (.f64 b b)) (/.f64 (PI.f64) (.f64 a b))) (/.f64 (PI.f64) (*.f64 b b)))
(-.f64 (-.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 (PI.f64) (.f64 b b))) (/.f64 (PI.f64) (*.f64 b b)))
(+.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 (.f64 (PI.f64) -2) (*.f64 b b)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (+.f64 (/.f64 (PI.f64) (.f64 a b)) (.f64 -1 (/.f64 (.f64 a (-.f64 (*.f64 -1 (PI.f64)) (PI.f64))) (pow.f64 b 3))))) (/.f64 (PI.f64) (pow.f64 b 2)))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (PI.f64) (.f64 b b)) (/.f64 (PI.f64) (.f64 a b))) (neg.f64 (/.f64 a (/.f64 (pow.f64 b 3) (-.f64 (neg.f64 (PI.f64)) (PI.f64)))))) (/.f64 (PI.f64) (*.f64 b b)))
(-.f64 (-.f64 (-.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 (PI.f64) (.f64 b b))) (/.f64 a (/.f64 (pow.f64 b 3) (.f64 (PI.f64) -2)))) (/.f64 (PI.f64) (.f64 b b)))
(+.f64 (+.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 (.f64 2 (PI.f64)) (/.f64 (pow.f64 b 3) a))) (/.f64 (.f64 (PI.f64) -2) (.f64 b b)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (+.f64 (/.f64 (PI.f64) (.f64 a b)) (+.f64 (/.f64 (.f64 (pow.f64 a 2) (-.f64 (.f64 -1 (PI.f64)) (PI.f64))) (pow.f64 b 4)) (.f64 -1 (/.f64 (.f64 a (-.f64 (*.f64 -1 (PI.f64)) (PI.f64))) (pow.f64 b 3)))))) (/.f64 (PI.f64) (pow.f64 b 2)))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (PI.f64) (.f64 b b)) (/.f64 (PI.f64) (.f64 a b))) (+.f64 (neg.f64 (/.f64 a (/.f64 (pow.f64 b 3) (-.f64 (neg.f64 (PI.f64)) (PI.f64))))) (/.f64 (.f64 (.f64 a a) (-.f64 (neg.f64 (PI.f64)) (PI.f64))) (pow.f64 b 4)))) (/.f64 (PI.f64) (*.f64 b b)))
(+.f64 (-.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 (PI.f64) (.f64 b b))) (-.f64 (-.f64 (.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) (.f64 (PI.f64) -2)) (/.f64 a (/.f64 (pow.f64 b 3) (.f64 (PI.f64) -2)))) (/.f64 (PI.f64) (*.f64 b b))))
(+.f64 (+.f64 (/.f64 (PI.f64) (.f64 a b)) (fma.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) (.f64 (PI.f64) -2) (/.f64 (.f64 2 (PI.f64)) (/.f64 (pow.f64 b 3) a)))) (/.f64 (.f64 (PI.f64) -2) (.f64 b b)))
(/.f64 (PI.f64) (*.f64 a b))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (/.f64 (PI.f64) (.f64 a b))) (/.f64 (PI.f64) (pow.f64 b 2)))
(-.f64 (fma.f64 -1 (/.f64 (PI.f64) (.f64 b b)) (/.f64 (PI.f64) (.f64 a b))) (/.f64 (PI.f64) (*.f64 b b)))
(-.f64 (-.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 (PI.f64) (.f64 b b))) (/.f64 (PI.f64) (*.f64 b b)))
(+.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 (.f64 (PI.f64) -2) (*.f64 b b)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (+.f64 (/.f64 (PI.f64) (.f64 a b)) (.f64 -1 (/.f64 (.f64 a (-.f64 (*.f64 -1 (PI.f64)) (PI.f64))) (pow.f64 b 3))))) (/.f64 (PI.f64) (pow.f64 b 2)))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (PI.f64) (.f64 b b)) (/.f64 (PI.f64) (.f64 a b))) (neg.f64 (/.f64 a (/.f64 (pow.f64 b 3) (-.f64 (neg.f64 (PI.f64)) (PI.f64)))))) (/.f64 (PI.f64) (*.f64 b b)))
(-.f64 (-.f64 (-.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 (PI.f64) (.f64 b b))) (/.f64 a (/.f64 (pow.f64 b 3) (.f64 (PI.f64) -2)))) (/.f64 (PI.f64) (.f64 b b)))
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(fma.f64 -1/2 (/.f64 (.f64 b (neg.f64 (PI.f64))) (pow.f64 a 4)) (fma.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (fma.f64 -1/2 (/.f64 (.f64 (PI.f64) (.f64 b b)) (pow.f64 a 5)) (/.f64 (.f64 (PI.f64) -1/2) (pow.f64 a 3)))))
(.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 (PI.f64) (.f64 a (*.f64 a b))))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))))
(.f64 1/2 (+.f64 (.f64 -1 (-.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (.f64 0 a) (/.f64 (pow.f64 a 4) (PI.f64))))) (/.f64 (PI.f64) (.f64 b (*.f64 a a)))))
(.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 a (*.f64 a b))) (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) 0)))))
(.f64 1/2 (-.f64 (/.f64 (PI.f64) (.f64 a (*.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 3))))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))))) (.f64 -1 (.f64 b (PI.f64)))) (pow.f64 a 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))))
(fma.f64 -1/2 (.f64 b (fma.f64 -1 (/.f64 (.f64 -1 (-.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (.f64 0 a) (/.f64 (pow.f64 a 4) (PI.f64))))) (/.f64 (.f64 a a) (.f64 0 a))) (/.f64 (neg.f64 (PI.f64)) (pow.f64 a 4)))) (.f64 1/2 (+.f64 (.f64 -1 (-.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (.f64 0 a) (/.f64 (pow.f64 a 4) (PI.f64))))) (/.f64 (PI.f64) (.f64 b (.f64 a a))))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) 0)))) (.f64 -1/2 (.f64 b (-.f64 (/.f64 (.f64 0 (+.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) 0)))) (.f64 a a)) (/.f64 (PI.f64) (pow.f64 a 4))))))
(fma.f64 1/2 (-.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 a 4)) (.f64 b -1/2)))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))))) (.f64 -1 (.f64 b (PI.f64)))) (+.f64 b (.f64 -1 b))) (.f64 -1 (.f64 (pow.f64 b 2) (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b)))))) (pow.f64 a 5))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) (-.f64 (PI.f64) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) b))))) (.f64 -1 (.f64 b (PI.f64)))) (pow.f64 a 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))))
(fma.f64 -1/2 (/.f64 (-.f64 (PI.f64) (neg.f64 (/.f64 (.f64 0 b) (/.f64 b (PI.f64))))) (pow.f64 a 3)) (fma.f64 1/2 (/.f64 (fma.f64 (.f64 -1 (+.f64 (.f64 (.f64 0 b) (-.f64 (PI.f64) (neg.f64 (/.f64 (.f64 0 b) (/.f64 b (PI.f64)))))) (.f64 (PI.f64) b))) (.f64 0 b) (neg.f64 (.f64 (.f64 b b) (-.f64 (PI.f64) (neg.f64 (/.f64 (.f64 0 b) (/.f64 b (PI.f64)))))))) (pow.f64 a 5)) (fma.f64 -1/2 (/.f64 (.f64 -1 (+.f64 (.f64 (.f64 0 b) (-.f64 (PI.f64) (neg.f64 (/.f64 (.f64 0 b) (/.f64 b (PI.f64)))))) (.f64 (PI.f64) b))) (pow.f64 a 4)) (.f64 1/2 (/.f64 (PI.f64) (.f64 b (.f64 a a)))))))
(fma.f64 -1/2 (/.f64 (+.f64 (PI.f64) (/.f64 (.f64 (PI.f64) 0) b)) (pow.f64 a 3)) (fma.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (PI.f64) 0) (.f64 (+.f64 (PI.f64) (/.f64 (.f64 (PI.f64) 0) b)) 0)) (.f64 b (.f64 b (+.f64 (PI.f64) (/.f64 (.f64 (PI.f64) 0) b))))) (pow.f64 a 5)) (fma.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (/.f64 (.f64 1/2 (fma.f64 (+.f64 (PI.f64) (/.f64 (.f64 (PI.f64) 0) b)) 0 (.f64 (PI.f64) b))) (pow.f64 a 4)))))
(fma.f64 (/.f64 (PI.f64) (pow.f64 a 3)) -1/2 (fma.f64 1/2 (/.f64 (.f64 b (.f64 b (neg.f64 (PI.f64)))) (pow.f64 a 5)) (fma.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 a 4)) (.f64 b -1/2)))))

prune399.0ms (9.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	221	1	222
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	222	13	235

Error

Counts

235 → 13

Alt Table

Status	Error	Program
	0.3b	(.f64 (/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (+.f64 a b)) (.f64 (-.f64 b a) 2)) 1)
	0.8b	(.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 b a) (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (-.f64 b a))) 3)) 1)
	23.1b	(.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 a b)))) 1)
	23.2b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 a b)))
	18.0b	(.f64 (/.f64 1/2 (.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 b a) (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 3)) (-.f64 b a))) 1)
	17.9b	(.f64 (.f64 (/.f64 (neg.f64 (/.f64 (PI.f64) b)) a) (/.f64 1/2 (-.f64 b a))) 1)
✓	15.9b	(/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (-.f64 (.f64 b b) (.f64 a a)))
	5.8b	(.f64 (/.f64 1/2 (.f64 b (fma.f64 (/.f64 a (PI.f64)) b (*.f64 (/.f64 a (PI.f64)) a)))) 1)
	19.7b	(.f64 (/.f64 1/2 (.f64 (/.f64 (*.f64 a b) (PI.f64)) (-.f64 b a))) 1)
	0.8b	(.f64 (.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (+.f64 b a))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (+.f64 b a))) 2)) (/.f64 1/2 (-.f64 b a))) 1)
	16.0b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
✓	0.3b	(.f64 (.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (pow.f64 (/.f64 a (PI.f64)) -1)) (+.f64 b a)) (/.f64 1/2 (-.f64 b a))) 1)
	0.3b	(.f64 (/.f64 1 (/.f64 (+.f64 b a) (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (-.f64 b a))))) 1)

Compiler

Compiled 7119 to 4006 computations (43.7% saved)

regimes132.0ms (3.2%)

Accuracy

Total -48.5b remaining (-17805.2%)

Threshold costs -48.5b (-17805.2%)

Counts

85 → 1

Compiler

Compiled 1746 to 867 computations (50.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
3×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-rgt-identity_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	28
1	23	28
2	26	28
3	28	28
4	29	28

Stop Event

1×

saturated

Calls

Call 1

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

Outputs

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

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

end142.0ms (3.4%)

Stop Event

1×

fuel

Compiler

Compiled 289 to 152 computations (47.4% saved)

Details

analyze323.0ms (7.8%)

sample1.2s (29.6%)

preprocess30.0ms (0.7%)

simplify18.0ms (0.4%)

prune4.0ms (0.1%)

localize11.0ms (0.3%)

series12.0ms (0.3%)

rewrite95.0ms (2.3%)

simplify48.0ms (1.2%)

prune412.0ms (10%)

localize12.0ms (0.3%)

series16.0ms (0.4%)

rewrite76.0ms (1.8%)

simplify68.0ms (1.7%)

prune489.0ms (11.8%)

localize11.0ms (0.3%)

series10.0ms (0.2%)

rewrite63.0ms (1.5%)

simplify52.0ms (1.2%)

prune349.0ms (8.4%)

localize13.0ms (0.3%)

series9.0ms (0.2%)

rewrite46.0ms (1.1%)

simplify64.0ms (1.6%)

prune399.0ms (9.7%)

regimes132.0ms (3.2%)

simplify2.0ms (0.1%)

end142.0ms (3.4%)

Profiling