Details

analyze341.0ms (10.1%)

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 (36.2%)

Results

1.1s	8256×	body	128	valid
66.0ms	397×	body	128	invalid

Compiler

Compiled 48 to 36 computations (25% saved)

preprocess30.0ms (0.9%)

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)

simplify17.0ms (0.5%)

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)))

prune6.0ms (0.2%)

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

15.6b

Counts

3 → 2

Alt Table

Status	Error	Program
	15.7b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
▶	15.6b	(/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (-.f64 (.f64 b b) (.f64 a a)))

Status

Error

Program

15.7b

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

▶

15.6b

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

Compiler

Compiled 127 to 84 computations (33.9% saved)

localize10.0ms (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)
✓	4.9b	(-.f64 (.f64 b b) (.f64 a a))
✓	10.3b	(/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2) (-.f64 (.f64 b b) (.f64 a a)))

series13.0ms (0.4%)

Counts

4 → 72

Calls

21 calls:

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

rewrite89.0ms (2.6%)

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

simplify46.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

644×	`cancel-sign-sub-inv_binary64`
573×	`fma-neg_binary64`
298×	`associate-/l/_binary64`
182×	`distribute-neg-frac_binary64`
172×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	1266
1	196	1230
2	597	1164
3	2308	1146

Stop Event

1×	node limit

Counts

291 → 245

Calls

Call 1

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

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

prune243.0ms (7.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	234	11	245
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	236	11	247

Error

0.0b

Counts

247 → 11

Alt Table

Status	Error	Program
	15.6b	(/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (pow.f64 (/.f64 a (PI.f64)) -1)) 2) (-.f64 (.f64 b b) (.f64 a a)))
	16.1b	(.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)))))
	31.9b	(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
	23.0b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))) 2)
	25.9b	(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) a))
	30.5b	(.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)))
	30.9b	(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
	0.9b	(.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)))
▶	0.4b	(*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))
	16.2b	(pow.f64 (.f64 (-.f64 (.f64 b b) (*.f64 a a)) (/.f64 2 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)))) -1)
	0.9b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))) 3)

Compiler

Compiled 7493 to 3186 computations (57.5% saved)

localize10.0ms (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 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (+.f64 b a))
✓	0.3b	(*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))
	0.3b	(/.f64 (PI.f64) a)

series8.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite72.0ms (2.1%)

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

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

simplify50.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

382×	`times-frac_binary64`
339×	`distribute-neg-frac_binary64`
297×	`distribute-rgt-neg-in_binary64`
286×	`associate-/l*_binary64`
253×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	1512
1	293	1458
2	953	1341
3	3876	1341

Stop Event

1×	node limit

Counts

137 → 122

Calls

Call 1

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

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

prune224.0ms (6.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	176	7	183
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	182	12	194

Error

0.0b

Counts

194 → 12

Alt Table

Status	Error	Program
▶	0.3b	(/.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (-.f64 b a))) (+.f64 b a))
	21.5b	(.f64 (/.f64 (neg.f64 (PI.f64)) (.f64 a b)) (/.f64 1/2 (-.f64 b a)))
	16.1b	(.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)))))
	0.4b	(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))
	0.4b	(.f64 (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 -1 b) (/.f64 1 a))) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))
	0.3b	(/.f64 (/.f64 1/2 (-.f64 b a)) (/.f64 (+.f64 b a) (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))))
	31.9b	(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
	22.4b	(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (+.f64 b a)) 3)) (/.f64 1/2 (-.f64 b a)))
	23.0b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))) 2)
	21.6b	(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 1/2 (-.f64 b a)))
	30.5b	(.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)))
	30.9b	(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))

Compiler

Compiled 4610 to 2243 computations (51.3% saved)

localize10.0ms (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 1/2 (-.f64 b a))) (+.f64 b a))
✓	0.3b	(*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (-.f64 b a)))
	0.3b	(/.f64 (PI.f64) a)

series8.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite71.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	318	50
2	4611	50

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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simplify37.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

634×	`cancel-sign-sub-inv_binary64`
564×	`fma-neg_binary64`
323×	`associate-/l/_binary64`
183×	`distribute-neg-frac_binary64`
174×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	1068
1	189	1032
2	577	966
3	2232	948

Stop Event

1×	node limit

Counts

119 → 89

Calls

Call 1

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

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

prune173.0ms (5.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	146	4	150
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	152	10	162

Error

Counts

162 → 10

Alt Table

Status	Error	Program
	16.1b	(.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)))))
▶	0.3b	(/.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a b))) (+.f64 b a))
	0.4b	(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))
	0.9b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (-.f64 b a)))) 2) (pow.f64 (cbrt.f64 (+.f64 b a)) 2)) (cbrt.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))))
	0.3b	(/.f64 (/.f64 1/2 (-.f64 b a)) (/.f64 (+.f64 b a) (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))))
	31.9b	(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
	23.0b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))) 2)
	0.3b	(/.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (pow.f64 (/.f64 a (PI.f64)) -1)) (/.f64 1/2 (-.f64 b a))) (+.f64 b a))
	3.8b	(*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (pow.f64 (cbrt.f64 (+.f64 b a)) 2)) (/.f64 (/.f64 1/2 (-.f64 b a)) (cbrt.f64 (+.f64 b a))))
	30.9b	(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))

Compiler

Compiled 3891 to 1903 computations (51.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a b))) (+.f64 b a))
✓	0.5b	(/.f64 (PI.f64) (*.f64 a b))

series12.0ms (0.4%)

Counts

2 → 24

Calls

12 calls:

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

rewrite54.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`prod-diff_binary64`
211×	`log1p-udef_binary64`
118×	`add-sqr-sqrt_binary64`
115×	`*-un-lft-identity_binary64`
115×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	227	25
2	3454	25

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

Outputs

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

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

simplify36.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

695×	`cancel-sign-sub-inv_binary64`
571×	`fma-neg_binary64`
316×	`associate-/l/_binary64`
189×	`distribute-neg-frac_binary64`
174×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	804
1	200	768
2	588	702
3	2304	684

Stop Event

1×	node limit

Counts

109 → 102

Calls

Call 1

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

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

prune108.0ms (3.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	103	9	112

Error

Counts

112 → 9

Alt Table

Status	Error	Program
✓	0.3b	(/.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a b))) (+.f64 b a))
	0.4b	(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))
	31.9b	(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
	0.3b	(/.f64 (.f64 1/2 (.f64 (PI.f64) (/.f64 (/.f64 1 a) b))) (+.f64 b a))
	23.0b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (+.f64 b a)) (/.f64 1/2 (-.f64 b a)))) 2)
	0.9b	(/.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (/.f64 (PI.f64) (.f64 a b))))) (+.f64 b a))
	0.3b	(/.f64 (/.f64 1/2 (-.f64 b a)) (/.f64 (+.f64 b a) (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))))
	3.8b	(*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (pow.f64 (cbrt.f64 (+.f64 b a)) 2)) (/.f64 (/.f64 1/2 (-.f64 b a)) (cbrt.f64 (+.f64 b a))))
	30.9b	(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))

Compiler

Compiled 1956 to 911 computations (53.4% saved)

regimes366.0ms (10.8%)

Accuracy

Total 0.2b remaining (89%)

Threshold costs 0.2b (89%)

Counts

174 → 1

Compiler

Compiled 3368 to 1441 computations (57.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	13	17

Stop Event

1×

saturated

Calls

Call 1

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

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

end116.0ms (3.4%)

Stop Event

1×

fuel

Compiler

Compiled 192 to 132 computations (31.3% saved)

Details

analyze341.0ms (10.1%)

sample1.2s (36.2%)

preprocess30.0ms (0.9%)

simplify17.0ms (0.5%)

prune6.0ms (0.2%)

localize10.0ms (0.3%)

series13.0ms (0.4%)

rewrite89.0ms (2.6%)

simplify46.0ms (1.4%)

prune243.0ms (7.2%)

localize10.0ms (0.3%)

series8.0ms (0.2%)

rewrite72.0ms (2.1%)

simplify50.0ms (1.5%)

prune224.0ms (6.6%)

localize10.0ms (0.3%)

series8.0ms (0.2%)

rewrite71.0ms (2.1%)

simplify37.0ms (1.1%)

prune173.0ms (5.1%)

localize6.0ms (0.2%)

series12.0ms (0.4%)

rewrite54.0ms (1.6%)

simplify36.0ms (1.1%)

prune108.0ms (3.2%)

regimes366.0ms (10.8%)

simplify2.0ms (0%)

end116.0ms (3.4%)

Profiling