Details

analyze156.0ms (1.9%)

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

Compiler

Compiled 24 to 18 computations (25% saved)

sample1.8s (21.8%)

Results

1.7s	8256×	body	256	valid
134.0ms	706×	body	256	invalid

preprocess55.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

638×	`distribute-rgt-in_binary64`
565×	`associate-/r*_binary64`
506×	`distribute-lft-in_binary64`
484×	`fma-neg_binary64`
462×	`fma-def_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
5	7995	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 25 to 19 computations (24% saved)

simplify32.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

693×	`div-sub_binary64`
597×	`times-frac_binary64`
509×	`associate-/l*_binary64`
356×	`associate-/l/_binary64`
274×	`distribute-rgt-in_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
5	5795	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 1/2 (+.f64 b a)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)))

eval1.0ms (0%)

Compiler: Compiled 41 to 27 computations (34.1% saved)

prune2.0ms (0%)

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

0.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)))
▶	17.0b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

Status

Error

Program

▶

0.3b

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

▶

17.0b

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

Compiler

Compiled 43 to 30 computations (30.2% saved)

localize80.0ms (1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	5.8b	(-.f64 (.f64 b b) (.f64 a a))
	0.6b	(/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))
	0.2b	(.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))))
	0.0b	(-.f64 (/.f64 1 a) (/.f64 1 b))
✓	0.2b	(.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))))
✓	0.6b	(/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))
✓	5.8b	(-.f64 (.f64 b b) (.f64 a a))
✓	9.8b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

Compiler

Compiled 79 to 37 computations (53.2% saved)

series17.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite167.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

635×	`fma-def_binary64`
315×	`expm1-udef_binary64`
315×	`log1p-udef_binary64`
275×	`fma-neg_binary64`
273×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	69
1	377	69
2	5711	69

Stop Event

1×	node limit

Counts

4 → 282

Calls

Call 1

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

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

simplify126.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

918×	`times-frac_binary64`
742×	`fma-neg_binary64`
447×	`associate-/l*_binary64`
447×	`fma-def_binary64`
444×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	2505
1	333	2460
2	1093	2289
3	5629	2289

Stop Event

1×	node limit

Counts

378 → 336

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(*.f64 -1 (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(pow.f64 b 2)
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(pow.f64 b 2)
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(pow.f64 b 2)
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(*.f64 -1 (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(*.f64 -1 (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2))
(/.f64 -1 (pow.f64 a 2))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4))) (/.f64 1 (pow.f64 a 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4)))) (/.f64 1 (pow.f64 a 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 6) (pow.f64 a 8))) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4))))) (/.f64 1 (pow.f64 a 2)))
(/.f64 1 (pow.f64 b 2))
(+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (/.f64 1 (pow.f64 b 2)))
(+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (+.f64 (/.f64 1 (pow.f64 b 2)) (/.f64 (pow.f64 a 4) (pow.f64 b 6))))
(+.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 8)) (+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (+.f64 (/.f64 1 (pow.f64 b 2)) (/.f64 (pow.f64 a 4) (pow.f64 b 6)))))
(/.f64 1 (pow.f64 b 2))
(+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (/.f64 1 (pow.f64 b 2)))
(+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (+.f64 (/.f64 1 (pow.f64 b 2)) (/.f64 (pow.f64 a 4) (pow.f64 b 6))))
(+.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 8)) (+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (+.f64 (/.f64 1 (pow.f64 b 2)) (/.f64 (pow.f64 a 4) (pow.f64 b 6)))))
(/.f64 1 (pow.f64 b 2))
(+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (/.f64 1 (pow.f64 b 2)))
(+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (+.f64 (/.f64 1 (pow.f64 b 2)) (/.f64 (pow.f64 a 4) (pow.f64 b 6))))
(+.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 8)) (+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (+.f64 (/.f64 1 (pow.f64 b 2)) (/.f64 (pow.f64 a 4) (pow.f64 b 6)))))
(/.f64 -1 (pow.f64 a 2))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4))) (/.f64 1 (pow.f64 a 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4)))) (/.f64 1 (pow.f64 a 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 6) (pow.f64 a 8))) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4))))) (/.f64 1 (pow.f64 a 2)))
(/.f64 -1 (pow.f64 a 2))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4))) (/.f64 1 (pow.f64 a 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4)))) (/.f64 1 (pow.f64 a 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 6) (pow.f64 a 8))) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4))))) (/.f64 1 (pow.f64 a 2)))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 6) (PI.f64)) (pow.f64 a 8))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 6) (PI.f64)) (pow.f64 b 8))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 6) (PI.f64)) (pow.f64 b 8))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 6) (PI.f64)) (pow.f64 b 8))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 6) (PI.f64)) (pow.f64 a 8))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 6) (PI.f64)) (pow.f64 a 8))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))))

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 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (.f64 1/2 (PI.f64)) (.f64 (*.f64 a a) b)))
(fma.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))))
(.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))))
(fma.f64 1/2 (.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))))
(fma.f64 1/2 (.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 (.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (/.f64 (.f64 -1/2 (*.f64 b b)) (/.f64 (pow.f64 a 5) (PI.f64)))))
(fma.f64 -1/2 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (fma.f64 1/2 (.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))))
(fma.f64 -1/2 (.f64 (PI.f64) (/.f64 (.f64 b b) (pow.f64 a 5))) (fma.f64 1/2 (.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 a b) b)))
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 b b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b))))
(fma.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 a b) b)) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))
(.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 (/.f64 -1/2 b) (/.f64 1/2 a)))
(.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (+.f64 (/.f64 (.f64 (PI.f64) a) (pow.f64 b 4)) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 (.f64 a b) b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) (*.f64 -1/2 (/.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 b) (/.f64 1/2 a))))
(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 -1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(fma.f64 -1/2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 5) (PI.f64))) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (+.f64 (/.f64 (.f64 (PI.f64) a) (pow.f64 b 4)) (/.f64 (/.f64 (PI.f64) a) (.f64 b b))))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (PI.f64)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 (.f64 a b) b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (PI.f64) (.f64 a (.f64 b b)))) (*.f64 -1/2 (fma.f64 (/.f64 a (/.f64 (pow.f64 b 5) a)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (PI.f64) (.f64 a (.f64 b b)))) (.f64 -1/2 (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 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 a b) b)))
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 b b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b))))
(fma.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 a b) b)) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))
(.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 (/.f64 -1/2 b) (/.f64 1/2 a)))
(.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (+.f64 (/.f64 (.f64 (PI.f64) a) (pow.f64 b 4)) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 (.f64 a b) b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) (*.f64 -1/2 (/.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 b) (/.f64 1/2 a))))
(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 -1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(fma.f64 -1/2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 5) (PI.f64))) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (+.f64 (/.f64 (.f64 (PI.f64) a) (pow.f64 b 4)) (/.f64 (/.f64 (PI.f64) a) (.f64 b b))))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (PI.f64)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 (.f64 a b) b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (PI.f64) (.f64 a (.f64 b b)))) (*.f64 -1/2 (fma.f64 (/.f64 a (/.f64 (pow.f64 b 5) a)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (PI.f64) (.f64 a (.f64 b b)))) (.f64 -1/2 (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 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 a b) b)))
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 b b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b))))
(fma.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 a b) b)) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))
(.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 (/.f64 -1/2 b) (/.f64 1/2 a)))
(.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (+.f64 (/.f64 (.f64 (PI.f64) a) (pow.f64 b 4)) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 (.f64 a b) b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) (*.f64 -1/2 (/.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 b) (/.f64 1/2 a))))
(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 -1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(fma.f64 -1/2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 5) (PI.f64))) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (+.f64 (/.f64 (.f64 (PI.f64) a) (pow.f64 b 4)) (/.f64 (/.f64 (PI.f64) a) (.f64 b b))))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (PI.f64)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 (.f64 a b) b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (PI.f64) (.f64 a (.f64 b b)))) (*.f64 -1/2 (fma.f64 (/.f64 a (/.f64 (pow.f64 b 5) a)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (PI.f64) (.f64 a (.f64 b b)))) (.f64 -1/2 (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 (.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 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (.f64 1/2 (PI.f64)) (.f64 (*.f64 a a) b)))
(fma.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))))
(.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))
(.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))))
(fma.f64 1/2 (.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))))
(fma.f64 1/2 (.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 (.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (/.f64 (.f64 -1/2 (*.f64 b b)) (/.f64 (pow.f64 a 5) (PI.f64)))))
(fma.f64 -1/2 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (fma.f64 1/2 (.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)))))
(fma.f64 -1/2 (.f64 (PI.f64) (/.f64 (.f64 b b) (pow.f64 a 5))) (fma.f64 1/2 (.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))))
(.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 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (.f64 1/2 (PI.f64)) (.f64 (*.f64 a a) b)))
(fma.f64 1/2 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))))
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(.f64 -1/2 (+.f64 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (PI.f64) (/.f64 (PI.f64) (.f64 a a))) (.f64 (PI.f64) (+.f64 (/.f64 (.f64 b b) (pow.f64 a 4)) (/.f64 (pow.f64 b 6) (pow.f64 a 8))))))
(.f64 -1/2 (+.f64 (.f64 (PI.f64) (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (/.f64 (pow.f64 b 6) (pow.f64 a 8)))) (fma.f64 (/.f64 (.f64 b b) (pow.f64 a 4)) (PI.f64) (/.f64 (PI.f64) (.f64 a a)))))

localize26.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (PI.f64) a)
	0.2b	(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)))
	0.2b	(fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))
	0.0b	(/.f64 1/2 (+.f64 b a))
✓	0.2b	(fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))
✓	0.2b	(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)))
✓	0.2b	(/.f64 (PI.f64) a)
✓	0.2b	(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a))

Compiler

Compiled 62 to 26 computations (58.1% saved)

series21.0ms (0.3%)

Counts

4 → 72

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a))
2.0ms	b	@	0	(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a))
2.0ms	b	@	0	(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)))
1.0ms	a	@	0	(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a))
1.0ms	a	@	0	(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)))

rewrite105.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

795×	`prod-diff_binary64`
339×	`fma-def_binary64`
295×	`expm1-udef_binary64`
295×	`log1p-udef_binary64`
175×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	65
1	321	65
2	4722	65

Stop Event

1×	node limit

Counts

4 → 149

Calls

Call 1

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

Outputs
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simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

881×	`times-frac_binary64`
570×	`associate-/l*_binary64`
482×	`distribute-rgt-in_binary64`
439×	`distribute-lft-in_binary64`
344×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	2397
1	588	2034
2	2841	1248

Stop Event

1×	node limit

Counts

221 → 189

Calls

Call 1

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

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

eval286.0ms (3.4%)

Compiler: Compiled 14571 to 7547 computations (48.2% saved)

prune120.0ms (1.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	510	15	525
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	512	15	527

Error

Counts

527 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.0b	(/.f64 (.f64 (.f64 (PI.f64) 1/2) (+.f64 (/.f64 1 a) (/.f64 -1 b))) (-.f64 (.f64 b b) (.f64 a a)))
	0.3b	(.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 -1 b) (/.f64 1 a))) (-.f64 b a)))
▶	17.9b	(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (/.f64 (neg.f64 (PI.f64)) b) (-.f64 b a)))
	31.7b	(.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))
	0.3b	(/.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (-.f64 b a) (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))))
▶	0.2b	(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (/.f64 (PI.f64) a) b))
	0.8b	(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 3) (-.f64 b a)))
	0.3b	(/.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (+.f64 b a))) (-.f64 b a))
	9.8b	(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
▶	30.3b	(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 1/2 b) b))
	30.0b	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
	27.1b	(*.f64 (/.f64 1/2 (+.f64 b a)) (exp.f64 (log.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (-.f64 b a)))))
	30.0b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a a)))
▶	30.5b	(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 b b)))
	0.2b	(.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (PI.f64) (.f64 a b)))

Compiler

Compiled 498 to 348 computations (30.1% saved)

localize14.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (PI.f64) a)
	0.2b	(/.f64 (/.f64 (PI.f64) a) b)
	0.2b	(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (/.f64 (PI.f64) a) b))
	0.0b	(/.f64 1/2 (+.f64 b a))
✓	0.0b	(/.f64 1/2 (+.f64 b a))
✓	0.2b	(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (/.f64 (PI.f64) a) b))
✓	0.2b	(/.f64 (/.f64 (PI.f64) a) b)
	0.2b	(/.f64 (PI.f64) a)

Compiler

Compiled 33 to 12 computations (63.6% saved)

series13.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	(/.f64 (/.f64 (PI.f64) a) b)
1.0ms	a	@	-inf	(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (/.f64 (PI.f64) a) b))
1.0ms	a	@	0	(/.f64 (/.f64 (PI.f64) a) b)
1.0ms	b	@	0	(/.f64 (/.f64 (PI.f64) a) b)
1.0ms	b	@	0	(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (/.f64 (PI.f64) a) b))

rewrite83.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

663×	`log-prod_binary64`
500×	`prod-diff_binary64`
298×	`log-div_binary64`
229×	`pow1/3_binary64`
222×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	236	32
2	3679	32

Stop Event

1×	node limit

Counts

3 → 147

Calls

Call 1

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

Outputs

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

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

simplify131.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

715×	`associate-l_binary64`
504×	`associate-/l/_binary64`
425×	`associate-/r/_binary64`
414×	`associate-+l+_binary64`
373×	`associate-+r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	81	1506
1	241	1494
2	731	1410
3	2702	1368
4	5872	1308
5	6357	1308
6	6781	1308
7	7941	1308

Stop Event

1×	node limit

Counts

219 → 179

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	9.0b	(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 b b)))
	0.4b	(/.f64 1/2 (*.f64 b b))
	0.2b	(/.f64 (PI.f64) a)
	0.2b	(/.f64 (PI.f64) a)
✓	0.4b	(/.f64 1/2 (*.f64 b b))
✓	9.0b	(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 b b)))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series7.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite74.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

508×	`log-prod_binary64`
381×	`exp-prod_binary64`
357×	`pow-prod-down_binary64`
262×	`pow2_binary64`
189×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	200	21
2	2771	21

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

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

Outputs

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

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

simplify153.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

921×	`associate-*r/_binary64`
882×	`associate-/r/_binary64`
769×	`*-commutative_binary64`
604×	`sqr-pow_binary64`
395×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	420
1	22	420
2	53	420
3	146	420
4	457	420
5	1872	420
6	3271	420
7	3685	420
8	3799	420
9	3949	420
10	4124	420
11	4379	420
12	5515	420
13	6160	420
14	6627	420
15	7215	420
16	7927	420

Stop Event

1×	node limit

Counts

154 → 122

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	9.0b	(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 1/2 b) b))
	0.2b	(/.f64 (PI.f64) a)
	0.1b	(/.f64 (/.f64 1/2 b) b)
✓	0.1b	(/.f64 (/.f64 1/2 b) b)
	0.2b	(/.f64 (PI.f64) a)
✓	9.0b	(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 1/2 b) b))

Compiler

Compiled 26 to 14 computations (46.2% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite77.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`log-prod_binary64`
426×	`exp-prod_binary64`
404×	`pow-prod-down_binary64`
274×	`pow2_binary64`
247×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	203	21
2	2979	21

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

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

Outputs

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

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

simplify131.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

921×	`associate-*r/_binary64`
882×	`associate-/r/_binary64`
769×	`*-commutative_binary64`
604×	`sqr-pow_binary64`
395×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	420
1	22	420
2	53	420
3	146	420
4	457	420
5	1872	420
6	3271	420
7	3685	420
8	3799	420
9	3949	420
10	4124	420
11	4379	420
12	5515	420
13	6160	420
14	6627	420
15	7215	420
16	7927	420

Stop Event

1×	node limit

Counts

163 → 131

Calls

Call 1

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

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

localize18.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (neg.f64 (PI.f64)) b)
	0.2b	(/.f64 (/.f64 (neg.f64 (PI.f64)) b) (-.f64 b a))
	0.2b	(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (/.f64 (neg.f64 (PI.f64)) b) (-.f64 b a)))
	0.0b	(/.f64 1/2 (+.f64 b a))
	0.0b	(/.f64 1/2 (+.f64 b a))
✓	0.2b	(*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (/.f64 (neg.f64 (PI.f64)) b) (-.f64 b a)))
✓	0.2b	(/.f64 (/.f64 (neg.f64 (PI.f64)) b) (-.f64 b a))
✓	0.3b	(/.f64 (neg.f64 (PI.f64)) b)

Compiler

Compiled 45 to 14 computations (68.9% saved)

series11.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite76.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

579×	`prod-diff_binary64`
342×	`log-div_binary64`
312×	`fma-def_binary64`
246×	`expm1-udef_binary64`
246×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	287	36
2	4679	36

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (*.f64 b (-.f64 b a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (*.f64 b (-.f64 b a))) (/.f64 (PI.f64) (*.f64 b (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (/.f64 1 (*.f64 b (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (*.f64 (/.f64 1 b) (/.f64 1 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) b) (/.f64 1 (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) b) (/.f64 1 (neg.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (*.f64 b (-.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (PI.f64) (*.f64 b (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 b (-.f64 b a)))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 b (-.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 b (-.f64 b a)))) 2) (cbrt.f64 (/.f64 (PI.f64) (*.f64 b (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2) (*.f64 (cbrt.f64 (/.f64 (PI.f64) b)) (/.f64 1 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b (-.f64 b a)))) (sqrt.f64 (/.f64 (PI.f64) (*.f64 b (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (PI.f64) b)) (*.f64 (sqrt.f64 (/.f64 (PI.f64) b)) (/.f64 1 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 b a)) (/.f64 (PI.f64) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (-.f64 b a)) (/.f64 (cbrt.f64 (PI.f64)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) (-.f64 b a)) (/.f64 (sqrt.f64 (PI.f64)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 b a)) (/.f64 (PI.f64) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) 1) (/.f64 (/.f64 1 b) (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (PI.f64) b)) (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) b)) 1) (/.f64 (sqrt.f64 (/.f64 (PI.f64) b)) (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (-.f64 b a)) 2)) (/.f64 (/.f64 1 b) (cbrt.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 b a)) 2)) (/.f64 (/.f64 (PI.f64) b) (cbrt.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2) (pow.f64 (cbrt.f64 (-.f64 b a)) 2)) (cbrt.f64 (/.f64 (PI.f64) (*.f64 b (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) b)) (pow.f64 (cbrt.f64 (-.f64 b a)) 2)) (/.f64 (sqrt.f64 (/.f64 (PI.f64) b)) (cbrt.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (sqrt.f64 (-.f64 b a))) (/.f64 (/.f64 1 b) (sqrt.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 b a))) (/.f64 (/.f64 (PI.f64) b) (sqrt.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2) (sqrt.f64 (-.f64 b a))) (/.f64 (cbrt.f64 (/.f64 (PI.f64) b)) (sqrt.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (PI.f64) b) (-.f64 (pow.f64 b 3) (pow.f64 a 3))) (fma.f64 a (+.f64 b a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (PI.f64) b) (-.f64 (*.f64 b b) (*.f64 a a))) (+.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (*.f64 b (-.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 b (-.f64 b a))) 3) 1/3)))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1/2 (/.f64 b (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (*.f64 (*.f64 b (-.f64 b a)) (*.f64 (+.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (*.f64 (*.f64 (+.f64 b a) 2) (*.f64 b (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) b) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) b) (*.f64 (neg.f64 (-.f64 b a)) (*.f64 (+.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) b) (*.f64 (*.f64 (+.f64 b a) 2) (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) b) (*.f64 (*.f64 (+.f64 b a) 2) (neg.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) (*.f64 b (-.f64 b a))) (*.f64 (+.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 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simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

757×	`associate-/l*_binary64`
408×	`associate-/r*_binary64`
299×	`*-commutative_binary64`
287×	`associate-+l+_binary64`
276×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	1877
1	566	1600
2	2664	1212

Stop Event

1×	node limit

Counts

210 → 192

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (PI.f64) b))
(*.f64 -1 (/.f64 (PI.f64) b))
(*.f64 -1 (/.f64 (PI.f64) b))
(*.f64 -1 (/.f64 (PI.f64) b))
(*.f64 -1 (/.f64 (PI.f64) b))
(*.f64 -1 (/.f64 (PI.f64) b))
(*.f64 -1 (/.f64 (PI.f64) b))
(*.f64 -1 (/.f64 (PI.f64) b))
(*.f64 -1 (/.f64 (PI.f64) b))
(*.f64 -1 (/.f64 (PI.f64) b))
(*.f64 -1 (/.f64 (PI.f64) b))
(*.f64 -1 (/.f64 (PI.f64) b))
(/.f64 (PI.f64) (*.f64 a b))
(+.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 (PI.f64) (pow.f64 a 2)))
(+.f64 (/.f64 (PI.f64) (.f64 a b)) (+.f64 (/.f64 (PI.f64) (pow.f64 a 2)) (/.f64 (.f64 b (PI.f64)) (pow.f64 a 3))))
(+.f64 (/.f64 (PI.f64) (.f64 a b)) (+.f64 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4)) (+.f64 (/.f64 (PI.f64) (pow.f64 a 2)) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 3)))))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2)))
(+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (.f64 -1 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 3))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (.f64 -1 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 3)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 3) (PI.f64)) (pow.f64 b 5))) (.f64 -1 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 3))))))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2)))
(+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (.f64 -1 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 3))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (.f64 -1 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 3)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 3) (PI.f64)) (pow.f64 b 5))) (.f64 -1 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 3))))))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2)))
(+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (.f64 -1 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 3))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (.f64 -1 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 3)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 3) (PI.f64)) (pow.f64 b 5))) (.f64 -1 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 3))))))
(/.f64 (PI.f64) (*.f64 a b))
(+.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 (PI.f64) (pow.f64 a 2)))
(+.f64 (/.f64 (PI.f64) (.f64 a b)) (+.f64 (/.f64 (PI.f64) (pow.f64 a 2)) (/.f64 (.f64 b (PI.f64)) (pow.f64 a 3))))
(+.f64 (/.f64 (PI.f64) (.f64 a b)) (+.f64 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4)) (+.f64 (/.f64 (PI.f64) (pow.f64 a 2)) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 3)))))
(/.f64 (PI.f64) (*.f64 a b))
(+.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 (PI.f64) (pow.f64 a 2)))
(+.f64 (/.f64 (PI.f64) (.f64 a b)) (+.f64 (/.f64 (PI.f64) (pow.f64 a 2)) (/.f64 (.f64 b (PI.f64)) (pow.f64 a 3))))
(+.f64 (/.f64 (PI.f64) (.f64 a b)) (+.f64 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4)) (+.f64 (/.f64 (PI.f64) (pow.f64 a 2)) (/.f64 (*.f64 b (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 (.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4))))
(+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 a (.f64 -1 a)) 2) (PI.f64)) (pow.f64 a 6)) (/.f64 (PI.f64) (pow.f64 a 4))) b)) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4)))))
(+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 a (.f64 -1 a)) 2) (PI.f64)) (pow.f64 a 6)) (/.f64 (PI.f64) (pow.f64 a 4))) b)) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 a 6)) (/.f64 (.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 a (.f64 -1 a)) 2) (PI.f64)) (pow.f64 a 6)) (/.f64 (PI.f64) (pow.f64 a 4))) (+.f64 a (.f64 -1 a))) (pow.f64 a 2))) (pow.f64 b 2))) (.f64 1/2 (/.f64 (.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4))))))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 b 4))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (PI.f64))) (.f64 -1 (.f64 (pow.f64 (+.f64 a (.f64 -1 a)) 2) (PI.f64)))) (pow.f64 b 5))) (.f64 1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 b 4)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (PI.f64))) (.f64 -1 (.f64 (pow.f64 (+.f64 a (.f64 -1 a)) 2) (PI.f64)))) (+.f64 a (.f64 -1 a)))) (.f64 (+.f64 a (.f64 -1 a)) (.f64 (pow.f64 a 2) (PI.f64)))) (pow.f64 b 6))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (PI.f64))) (.f64 -1 (.f64 (pow.f64 (+.f64 a (.f64 -1 a)) 2) (PI.f64)))) (pow.f64 b 5))) (.f64 1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 b 4))))))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 b 4))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 (pow.f64 a 2) (PI.f64)) (.f64 (pow.f64 (+.f64 a (.f64 -1 a)) 2) (PI.f64))) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 b 4)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 (pow.f64 a 2) (PI.f64)) (.f64 (pow.f64 (+.f64 a (.f64 -1 a)) 2) (PI.f64))) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (+.f64 (.f64 (+.f64 (.f64 (pow.f64 a 2) (PI.f64)) (.f64 (pow.f64 (+.f64 a (.f64 -1 a)) 2) (PI.f64))) (+.f64 a (.f64 -1 a))) (.f64 (+.f64 a (.f64 -1 a)) (*.f64 (pow.f64 a 2) (PI.f64)))) (pow.f64 b 6))))))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (.f64 a (.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64))) (pow.f64 b 6))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 9))) (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 5)))))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (.f64 a (.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64))) (pow.f64 b 6)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 9))) (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 5)))))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64))) (pow.f64 b 6))) (.f64 1/2 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64)) (pow.f64 b 8)) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 5))) (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 9))))) (pow.f64 b 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 (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64)) (.f64 (pow.f64 a 3) (pow.f64 b 2)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 3)) (.f64 b (PI.f64))) (pow.f64 a 4))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64)) (.f64 (pow.f64 a 3) (pow.f64 b 2))))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 3)) (.f64 b (PI.f64))) (pow.f64 a 4))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 3)) (.f64 b (PI.f64)))) b) (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64))) (pow.f64 a 5))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64)) (.f64 (pow.f64 a 3) (pow.f64 b 2)))))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64)) (.f64 (pow.f64 a 3) (pow.f64 b 2)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 3)) (.f64 b (PI.f64))) (pow.f64 a 4))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64)) (.f64 (pow.f64 a 3) (pow.f64 b 2))))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 3)) (.f64 b (PI.f64))) (pow.f64 a 4))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64)) (.f64 (pow.f64 a 3) (pow.f64 b 2)))) (.f64 -1/2 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 3)) (.f64 b (PI.f64)))) b) (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64))) (pow.f64 a 5))))))

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

localize25.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	10.2b	(/.f64 (.f64 (.f64 (PI.f64) 1/2) (+.f64 (/.f64 1 a) (/.f64 -1 b))) (-.f64 (.f64 b b) (.f64 a a)))
	5.8b	(-.f64 (.f64 b b) (.f64 a a))
	0.4b	(.f64 (.f64 (PI.f64) 1/2) (+.f64 (/.f64 1 a) (/.f64 -1 b)))
	0.0b	(+.f64 (/.f64 1 a) (/.f64 -1 b))
✓	0.0b	(+.f64 (/.f64 1 a) (/.f64 -1 b))
✓	0.4b	(.f64 (.f64 (PI.f64) 1/2) (+.f64 (/.f64 1 a) (/.f64 -1 b)))
	5.8b	(-.f64 (.f64 b b) (.f64 a a))
✓	10.2b	(/.f64 (.f64 (.f64 (PI.f64) 1/2) (+.f64 (/.f64 1 a) (/.f64 -1 b))) (-.f64 (.f64 b b) (.f64 a a)))

Compiler

Compiled 67 to 37 computations (44.8% saved)

series7.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite106.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

752×	`fma-def_binary64`
336×	`fma-neg_binary64`
312×	`expm1-udef_binary64`
312×	`log1p-udef_binary64`
188×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	56
1	367	44
2	5624	44

Stop Event

1×	node limit

Counts

3 → 181

Calls

Call 1

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

Outputs

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

simplify146.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

941×	`fma-def_binary64`
789×	`associate-/r/_binary64`
668×	`unswap-sqr_binary64`
451×	`associate-*l/_binary64`
395×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	60	1332
1	168	1332
2	470	1251
3	1682	1194
4	5791	1176

Stop Event

1×	node limit

Counts

253 → 207

Calls

Call 1

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

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

eval344.0ms (4.1%)

Compiler: Compiled 22122 to 10673 computations (51.8% saved)

prune176.0ms (2.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	1125	8	1133
Fresh	8	2	10
Picked	1	0	1
Done	4	0	4
Total	1138	10	1148

Error

Counts

1148 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	24.4b	(*.f64 (/.f64 1/2 a) (/.f64 (/.f64 (PI.f64) a) b))
	25.9b	(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) 1/2) b) b)
▶	0.2b	(/.f64 (/.f64 1/2 (*.f64 (/.f64 b (PI.f64)) a)) (+.f64 a b))
	4.7b	(/.f64 (/.f64 (PI.f64) a) (.f64 (.f64 (+.f64 a b) 2) b))
▶	30.0b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a a)))
	25.9b	(/.f64 (/.f64 1/2 b) (*.f64 (/.f64 a (PI.f64)) b))
▶	30.0b	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
	0.6b	(/.f64 1/2 (/.f64 (+.f64 a b) (/.f64 (PI.f64) (*.f64 a b))))
	25.9b	(/.f64 (.f64 (/.f64 1/2 b) (PI.f64)) (.f64 b a))
▶	25.9b	(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) b)

Compiler

Compiled 232 to 166 computations (28.4% saved)

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1/2 (*.f64 (/.f64 b (PI.f64)) a))
	0.3b	(/.f64 b (PI.f64))
	0.2b	(*.f64 (/.f64 b (PI.f64)) a)
	0.2b	(/.f64 (/.f64 1/2 (*.f64 (/.f64 b (PI.f64)) a)) (+.f64 a b))
✓	0.2b	(/.f64 (/.f64 1/2 (*.f64 (/.f64 b (PI.f64)) a)) (+.f64 a b))
✓	0.2b	(*.f64 (/.f64 b (PI.f64)) a)
✓	0.3b	(/.f64 b (PI.f64))
✓	0.4b	(/.f64 1/2 (*.f64 (/.f64 b (PI.f64)) a))

Compiler

Compiled 35 to 12 computations (65.7% saved)

series10.0ms (0.1%)

Counts

4 → 72

Calls

21 calls:

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

rewrite71.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

646×	`log-prod_binary64`
570×	`prod-diff_binary64`
256×	`log-div_binary64`
225×	`pow1/3_binary64`
218×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	234	41
2	3554	41

Stop Event

1×	node limit

Counts

4 → 144

Calls

Call 1

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

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

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

929×	`fma-def_binary64`
802×	`associate-/r/_binary64`
668×	`unswap-sqr_binary64`
459×	`associate-*l/_binary64`
391×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	1248
1	159	1248
2	465	1167
3	1659	1146
4	5781	1128

Stop Event

1×	node limit

Counts

216 → 164

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 28 to 14 computations (50% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite62.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

590×	`log-prod_binary64`
445×	`exp-prod_binary64`
379×	`pow-prod-down_binary64`
276×	`pow2_binary64`
243×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	204	25
2	3021	25

Stop Event

1×	node limit

Counts

2 → 125

Calls

Call 1

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

Outputs

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

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

simplify142.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1054×	`associate-/l/_binary64`
726×	`*-commutative_binary64`
527×	`associate-/r/_binary64`
515×	`associate-*l/_binary64`
465×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	600
1	28	600
2	68	600
3	167	600
4	551	600
5	2256	600
6	3108	600
7	3522	600
8	3637	600
9	3784	600
10	3959	600
11	5920	600
12	6461	600
13	6831	600
14	7287	600
15	7870	600

Stop Event

1×	node limit

Counts

173 → 129

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	9.2b	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
	0.6b	(/.f64 (PI.f64) (*.f64 a a))
✓	0.6b	(/.f64 (PI.f64) (*.f64 a a))
✓	9.2b	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite93.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

516×	`log-prod_binary64`
388×	`exp-prod_binary64`
357×	`pow-prod-down_binary64`
263×	`pow2_binary64`
192×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	200	22
2	2794	22

Stop Event

1×	node limit

Counts

2 → 135

Calls

Call 1

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

Outputs

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

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

simplify121.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

924×	`associate-*r/_binary64`
829×	`associate-/r/_binary64`
717×	`*-commutative_binary64`
654×	`associate-*l/_binary64`
465×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	432
1	21	432
2	51	432
3	138	432
4	459	432
5	1855	432
6	3648	432
7	4062	432
8	4176	432
9	4323	432
10	4501	432
11	4752	432
12	6096	432
13	6742	432
14	7205	432
15	7790	432

Stop Event

1×	node limit

Counts

171 → 139

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	8.9b	(/.f64 (/.f64 (PI.f64) b) (*.f64 a a))
	0.3b	(/.f64 (PI.f64) b)
	0.0b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a a)))
✓	0.0b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a a)))
✓	0.3b	(/.f64 (PI.f64) b)
✓	8.9b	(/.f64 (/.f64 (PI.f64) b) (*.f64 a a))

Compiler

Compiled 28 to 9 computations (67.9% saved)

series5.0ms (0.1%)

Counts

3 → 48

Calls

15 calls:

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

rewrite95.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

531×	`log-prod_binary64`
410×	`exp-prod_binary64`
321×	`pow-prod-down_binary64`
259×	`pow2_binary64`
190×	`div-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	196	30
2	2755	30

Stop Event

1×	node limit

Counts

3 → 153

Calls

Call 1

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

Outputs

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

simplify131.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

930×	`associate-*r/_binary64`
827×	`associate-/r/_binary64`
719×	`*-commutative_binary64`
653×	`associate-*l/_binary64`
465×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	600
1	21	600
2	51	600
3	137	600
4	451	600
5	1860	600
6	3660	600
7	4074	600
8	4188	600
9	4337	600
10	4515	600
11	4766	600
12	6106	600
13	6756	600
14	7222	600
15	7811	600

Stop Event

1×	node limit

Counts

201 → 157

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 26 to 11 computations (57.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

570×	`log-prod_binary64`
435×	`exp-prod_binary64`
396×	`pow-prod-down_binary64`
273×	`pow2_binary64`
255×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	204	14
2	3027	14

Stop Event

1×	node limit

Counts

1 → 76

Calls

Call 1

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

Outputs

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

simplify114.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

908×	`associate-*r/_binary64`
825×	`associate-/r/_binary64`
721×	`*-commutative_binary64`
651×	`associate-*l/_binary64`
465×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	336
1	21	336
2	51	336
3	138	336
4	458	336
5	1861	336
6	3653	336
7	4067	336
8	4181	336
9	4328	336
10	4506	336
11	4761	336
12	6083	336
13	6730	336
14	7196	336
15	7781	336

Stop Event

1×	node limit

Counts

100 → 78

Calls

Call 1

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

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

eval217.0ms (2.6%)

Compiler: Compiled 10819 to 5413 computations (50% saved)

prune136.0ms (1.6%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	778	4	782
Fresh	1	4	5
Picked	0	1	1
Done	1	3	4
Total	780	12	792

Error

Counts

792 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.4b	(*.f64 (/.f64 1/2 a) (/.f64 (/.f64 (PI.f64) a) b))
▶	25.9b	(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) 1/2) b) b)
✓	30.0b	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
	24.4b	(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) a)
▶	4.7b	(/.f64 (/.f64 (PI.f64) a) (.f64 (.f64 (+.f64 a b) 2) b))
✓	30.0b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a a)))
▶	25.9b	(/.f64 (/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) b) b)
	24.4b	(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) 1/2) a) a)
▶	25.9b	(/.f64 (/.f64 1/2 b) (*.f64 (/.f64 a (PI.f64)) b))
	24.4b	(/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 a b))
▶	25.9b	(/.f64 (.f64 (/.f64 1/2 b) (PI.f64)) (.f64 b a))
✓	25.9b	(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) b)

Compiler

Compiled 224 to 162 computations (27.7% saved)

localize14.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	4.7b	(/.f64 (/.f64 (PI.f64) a) (.f64 (.f64 (+.f64 a b) 2) b))
	0.2b	(/.f64 (PI.f64) a)
	0.0b	(.f64 (.f64 (+.f64 a b) 2) b)
✓	0.0b	(.f64 (.f64 (+.f64 a b) 2) b)
	0.2b	(/.f64 (PI.f64) a)
✓	4.7b	(/.f64 (/.f64 (PI.f64) a) (.f64 (.f64 (+.f64 a b) 2) b))

Compiler

Compiled 35 to 15 computations (57.1% saved)

series14.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	a	@	-inf	(.f64 (.f64 (+.f64 a b) 2) b)
1.0ms	b	@	inf	(.f64 (.f64 (+.f64 a b) 2) b)
1.0ms	b	@	0	(.f64 (.f64 (+.f64 a b) 2) b)
1.0ms	b	@	-inf	(.f64 (.f64 (+.f64 a b) 2) b)
1.0ms	a	@	0	(.f64 (.f64 (+.f64 a b) 2) b)

rewrite78.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

690×	`log-prod_binary64`
500×	`prod-diff_binary64`
312×	`pow2_binary64`
220×	`pow1/3_binary64`
213×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	227	27
2	3497	27

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

Outputs

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

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

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

967×	`fma-def_binary64`
668×	`unswap-sqr_binary64`
452×	`associate-*l/_binary64`
445×	`associate-l_binary64`
410×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	1068
1	162	1014
2	478	933
3	1718	912
4	5957	894

Stop Event

1×	node limit

Counts

130 → 104

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 26 to 14 computations (46.2% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite70.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`log-prod_binary64`
479×	`exp-prod_binary64`
347×	`pow-prod-down_binary64`
270×	`pow2_binary64`
205×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	200	22
2	2943	22

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

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

Outputs

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

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

simplify139.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

955×	`associate-/l/_binary64`
685×	`*-commutative_binary64`
532×	`associate-*l/_binary64`
483×	`associate-/r/_binary64`
465×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	432
1	25	432
2	58	432
3	155	432
4	514	432
5	2040	432
6	2847	432
7	3261	432
8	3376	432
9	3524	432
10	3702	432
11	5628	432
12	6183	432
13	6553	432
14	7012	432
15	7591	432

Stop Event

1×	node limit

Counts

140 → 107

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 26 to 11 computations (57.7% saved)

series6.0ms (0.1%)

Counts

3 → 48

Calls

15 calls:

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

rewrite75.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

596×	`log-prod_binary64`
455×	`exp-prod_binary64`
346×	`pow-prod-down_binary64`
276×	`pow2_binary64`
219×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	203	27
2	2994	27

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

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

Outputs

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

simplify117.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1237×	`associate-/r/_binary64`
878×	`associate-*l/_binary64`
627×	`associate-*r/_binary64`
573×	`*-commutative_binary64`
465×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	528
1	26	528
2	57	528
3	143	528
4	454	528
5	1848	528
6	3350	528
7	3764	528
8	3878	528
9	4025	528
10	4200	528
11	5334	528
12	6349	528
13	6953	528
14	7522	528

Stop Event

1×	node limit

Counts

192 → 147

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 30 to 14 computations (53.3% saved)

series5.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite77.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

597×	`log-prod_binary64`
336×	`pow-prod-down_binary64`
275×	`pow2_binary64`
256×	`log-div_binary64`
196×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	206	33
2	3070	33

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

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

Outputs

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

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

simplify138.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1079×	`associate-/l/_binary64`
727×	`*-commutative_binary64`
531×	`associate-/r/_binary64`
519×	`associate-*l/_binary64`
465×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	696
1	31	696
2	67	696
3	162	696
4	552	696
5	2262	696
6	3120	696
7	3534	696
8	3648	696
9	3795	696
10	3970	696
11	5964	696
12	6506	696
13	6878	696
14	7334	696
15	7915	696

Stop Event

1×	node limit

Counts

205 → 149

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (*.f64 (/.f64 (PI.f64) a) 1/2) b)
	0.2b	(/.f64 (PI.f64) a)
	0.2b	(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) 1/2) b) b)
	0.0b	(*.f64 (/.f64 (PI.f64) a) 1/2)
✓	0.0b	(*.f64 (/.f64 (PI.f64) a) 1/2)
✓	0.2b	(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) 1/2) b) b)
	0.2b	(/.f64 (PI.f64) a)
✓	0.2b	(/.f64 (*.f64 (/.f64 (PI.f64) a) 1/2) b)

Compiler

Compiled 30 to 14 computations (53.3% saved)

series4.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite77.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

579×	`log-prod_binary64`
443×	`exp-prod_binary64`
327×	`pow-prod-down_binary64`
267×	`pow2_binary64`
217×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	199	33
2	2883	33

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

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

Outputs

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

simplify136.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1090×	`associate-/l/_binary64`
724×	`*-commutative_binary64`
530×	`associate-/r/_binary64`
520×	`associate-*l/_binary64`
465×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	696
1	31	696
2	67	696
3	162	696
4	550	696
5	2240	696
6	3091	696
7	3505	696
8	3619	696
9	3769	696
10	3947	696
11	5958	696
12	6500	696
13	6872	696
14	7329	696
15	7906	696

Stop Event

1×	node limit

Counts

208 → 153

Calls

Call 1

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

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

eval206.0ms (2.5%)

Compiler: Compiled 11240 to 5878 computations (47.7% saved)

prune113.0ms (1.4%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	772	1	773
Fresh	0	3	3
Picked	0	1	1
Done	0	8	8
Total	772	13	785

Error

Counts

785 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.4b	(*.f64 (/.f64 1/2 a) (/.f64 (/.f64 (PI.f64) a) b))
✓	25.9b	(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) 1/2) b) b)
✓	30.0b	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
	24.4b	(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) a)
✓	4.7b	(/.f64 (/.f64 (PI.f64) a) (.f64 (.f64 (+.f64 a b) 2) b))
✓	30.0b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a a)))
✓	25.9b	(/.f64 (/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) b) b)
	24.4b	(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) 1/2) a) a)
	25.9b	(/.f64 (/.f64 1/2 b) (/.f64 b (/.f64 (PI.f64) a)))
✓	25.9b	(/.f64 (/.f64 1/2 b) (*.f64 (/.f64 a (PI.f64)) b))
	24.4b	(/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 a b))
✓	25.9b	(/.f64 (.f64 (/.f64 1/2 b) (PI.f64)) (.f64 b a))
✓	25.9b	(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) b)

Compiler

Compiled 145 to 105 computations (27.6% saved)

regimes44.0ms (0.5%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	b
20.0ms	a

Results

Error	Segments	Branch
0.6b	3	`a`
0.2b	3	`b`

Compiler

Compiled 127 to 64 computations (49.6% saved)

bsearch56.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	1.0983780295633275e+95	3.257504744958261e+97
28.0ms	-3.7925240140726623e+120	-4.0673662727454596e+113

Compiler

Compiled 28 to 21 computations (25% saved)

regimes49.0ms (0.6%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	a
20.0ms	b

Results

Error	Segments	Branch
4.4b	3	`a`
4.1b	3	`b`

Compiler

Compiled 116 to 59 computations (49.1% saved)

bsearch74.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	5.6465985719733e+24	5.702580559226032e+26
28.0ms	-8.701433180467901e-17	-2.433022984114305e-17

Compiler

Compiled 52 to 39 computations (25% saved)

regimes63.0ms (0.8%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

35.0ms	b
25.0ms	a

Results

Error	Segments	Branch
4.4b	3	`a`
4.1b	3	`b`

Compiler

Compiled 107 to 55 computations (48.6% saved)

bsearch61.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	5.6465985719733e+24	5.702580559226032e+26
28.0ms	-8.701433180467901e-17	-2.433022984114305e-17

Compiler

Compiled 52 to 39 computations (25% saved)

regimes71.0ms (0.9%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

57.0ms	a
12.0ms	b

Results

Error	Segments	Branch
4.4b	3	`a`
4.1b	3	`b`

Compiler

Compiled 53 to 30 computations (43.4% saved)

bsearch92.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
63.0ms	5.6465985719733e+24	5.702580559226032e+26
28.0ms	-8.701433180467901e-17	-2.433022984114305e-17

Compiler

Compiled 52 to 39 computations (25% saved)

regimes32.0ms (0.4%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	a
15.0ms	b

Results

Error	Segments	Branch
4.4b	3	`a`
4.1b	3	`b`

Compiler

Compiled 44 to 26 computations (40.9% saved)

bsearch56.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	5.6465985719733e+24	5.702580559226032e+26
27.0ms	-8.701433180467901e-17	-2.433022984114305e-17

Compiler

Compiled 52 to 39 computations (25% saved)

regimes63.0ms (0.8%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

50.0ms	a
11.0ms	b

Results

Error	Segments	Branch
4.4b	3	`a`
4.1b	3	`b`

Compiler

Compiled 35 to 21 computations (40% saved)

bsearch57.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	5.6465985719733e+24	5.702580559226032e+26
27.0ms	-8.701433180467901e-17	-2.433022984114305e-17

Compiler

Compiled 52 to 39 computations (25% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.3%)

Threshold costs -0.1b (-0.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	b
3.0ms	a

Results

Error	Segments	Branch
25.9b	1	`a`
25.9b	1	`b`

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	341
1	59	341

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b -3792524014072662327186343568431878554824332197848714254704010726616816161105095059903315161016720323087469893433887293440) (/.f64 (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) b) (if (<=.f64 b 109837802956332752336667336161349757925268240036458737693834664559873894841800981106248787165184) (/.f64 (/.f64 (PI.f64) a) (.f64 (*.f64 (+.f64 a b) 2) b)) (/.f64 (/.f64 1/2 b) (/.f64 b (/.f64 (PI.f64) a)))))
(if (<=.f64 b -2028240960365167/40564819207303340847894502572032) (/.f64 (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) b) (if (<=.f64 b 5646598571973299868270592) (.f64 (/.f64 1/2 a) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 (/.f64 1/2 b) (/.f64 b (/.f64 (PI.f64) a)))))
(if (<=.f64 b -2028240960365167/40564819207303340847894502572032) (/.f64 (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) b) (if (<=.f64 b 5646598571973299868270592) (/.f64 (/.f64 (.f64 (/.f64 (PI.f64) b) 1/2) a) a) (/.f64 (/.f64 1/2 b) (/.f64 b (/.f64 (PI.f64) a)))))
(if (<=.f64 b -2028240960365167/40564819207303340847894502572032) (/.f64 (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) b) (if (<=.f64 b 5646598571973299868270592) (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (*.f64 a b)) (/.f64 (/.f64 1/2 b) (/.f64 b (/.f64 (PI.f64) a)))))
(if (<=.f64 b -2028240960365167/40564819207303340847894502572032) (/.f64 (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) b) (if (<=.f64 b 5646598571973299868270592) (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 a b)) (/.f64 (/.f64 1/2 b) (.f64 (/.f64 a (PI.f64)) b))))
(if (<=.f64 b -2028240960365167/40564819207303340847894502572032) (/.f64 (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) b) (if (<=.f64 b 5646598571973299868270592) (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 a b)) (/.f64 (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) b)))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) b)

Outputs
(if (<=.f64 b -3792524014072662327186343568431878554824332197848714254704010726616816161105095059903315161016720323087469893433887293440) (/.f64 (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) b) (if (<=.f64 b 109837802956332752336667336161349757925268240036458737693834664559873894841800981106248787165184) (/.f64 (/.f64 (PI.f64) a) (.f64 (*.f64 (+.f64 a b) 2) b)) (/.f64 (/.f64 1/2 b) (/.f64 b (/.f64 (PI.f64) a)))))
(if (<=.f64 b -3792524014072662327186343568431878554824332197848714254704010726616816161105095059903315161016720323087469893433887293440) (/.f64 (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) b) (if (<=.f64 b 109837802956332752336667336161349757925268240036458737693834664559873894841800981106248787165184) (/.f64 (/.f64 (PI.f64) a) (.f64 b (*.f64 (+.f64 b a) 2))) (/.f64 (/.f64 1/2 b) (/.f64 b (/.f64 (PI.f64) a)))))
(if (<=.f64 b -2028240960365167/40564819207303340847894502572032) (/.f64 (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) b) (if (<=.f64 b 5646598571973299868270592) (.f64 (/.f64 1/2 a) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 (/.f64 1/2 b) (/.f64 b (/.f64 (PI.f64) a)))))
(if (<=.f64 b -2028240960365167/40564819207303340847894502572032) (/.f64 (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) b) (if (<=.f64 b 5646598571973299868270592) (/.f64 (/.f64 (.f64 (/.f64 (PI.f64) b) 1/2) a) a) (/.f64 (/.f64 1/2 b) (/.f64 b (/.f64 (PI.f64) a)))))
(if (<=.f64 b -2028240960365167/40564819207303340847894502572032) (/.f64 (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) b) (if (<=.f64 b 5646598571973299868270592) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) a) a) (/.f64 (/.f64 1/2 b) (/.f64 b (/.f64 (PI.f64) a)))))
(if (<=.f64 b -2028240960365167/40564819207303340847894502572032) (/.f64 (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) b) (if (<=.f64 b 5646598571973299868270592) (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (*.f64 a b)) (/.f64 (/.f64 1/2 b) (/.f64 b (/.f64 (PI.f64) a)))))
(if (<=.f64 b -2028240960365167/40564819207303340847894502572032) (/.f64 (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) b) (if (<=.f64 b 5646598571973299868270592) (/.f64 (.f64 (/.f64 (PI.f64) a) 1/2) (*.f64 b a)) (/.f64 (/.f64 1/2 b) (/.f64 b (/.f64 (PI.f64) a)))))
(if (<=.f64 b -2028240960365167/40564819207303340847894502572032) (/.f64 (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) b) (if (<=.f64 b 5646598571973299868270592) (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 a b)) (/.f64 (/.f64 1/2 b) (.f64 (/.f64 a (PI.f64)) b))))
(if (<=.f64 b -2028240960365167/40564819207303340847894502572032) (/.f64 (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) b) (if (<=.f64 b 5646598571973299868270592) (/.f64 (.f64 (/.f64 (PI.f64) a) 1/2) (.f64 b a)) (/.f64 (/.f64 1/2 b) (.f64 b (/.f64 a (PI.f64))))))
(if (<=.f64 b -2028240960365167/40564819207303340847894502572032) (/.f64 (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) b) (if (<=.f64 b 5646598571973299868270592) (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 a b)) (/.f64 (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) b)))
(if (<=.f64 b -2028240960365167/40564819207303340847894502572032) (/.f64 (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) b) (if (<=.f64 b 5646598571973299868270592) (/.f64 (.f64 (/.f64 (PI.f64) a) 1/2) (.f64 b a)) (/.f64 (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) b)))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) b)

end90.0ms (1.1%)

Stop Event

1×

fuel

Compiler

Compiled 458 to 257 computations (43.9% saved)