Details

analyze242.0ms (2.1%)

Algorithm

1×

Search

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

Compiler

Compiled 24 to 18 computations (25% saved)

sample1.9s (16.3%)

Results

1.7s	8256×	body	256	valid
203.0ms	709×	body	256	invalid

preprocess59.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

624×	`distribute-rgt-in_binary64`
586×	`associate-/r*_binary64`
522×	`distribute-lft-in_binary64`
462×	`fma-def_binary64`
398×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	64
1	60	58
2	187	58
3	769	58
4	3468	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 (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 (/.f64 1 a) (/.f64 -1 b)) (-.f64 b a)) (+.f64 b a)))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (.f64 2 (fma.f64 b b (.f64 a (neg.f64 a)))))
(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 a a) (.f64 b b)))) (-.f64 (/.f64 1 b) (/.f64 1 a)))
(.f64 (/.f64 (/.f64 (PI.f64) 2) (-.f64 (.f64 a a) (*.f64 b b))) (+.f64 (/.f64 1 b) (/.f64 -1 a)))
(.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 (/.f64 1 b) (/.f64 -1 a)) (-.f64 (.f64 a a) (*.f64 b b))))
(/.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (/.f64 -1 a) (/.f64 -1 b))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (-.f64 (.f64 a a) (.f64 b b))) 2)

Compiler

Compiled 25 to 19 computations (24% saved)

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

691×	`div-sub_binary64`
599×	`times-frac_binary64`
514×	`associate-/l*_binary64`
357×	`associate-/l/_binary64`
267×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	32
1	37	29
2	101	29
3	404	29
4	1792	28
5	5806	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 (PI.f64) 2) (fma.f64 b b (.f64 a (neg.f64 a)))) (+.f64 (/.f64 1 a) (/.f64 -1 b)))
(.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (fma.f64 b b (.f64 a (neg.f64 a)))))
(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (/.f64 (-.f64 b a) (*.f64 (/.f64 (PI.f64) (+.f64 b a)) 1/2)))
(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (fma.f64 b b (.f64 a (neg.f64 a)))))

eval2.0ms (0%)

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

prune3.0ms (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

9.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.1b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
▶	9.3b	(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (fma.f64 b b (.f64 a (neg.f64 a)))))

Status

Error

Program

▶

15.1b

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

▶

9.3b

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

Compiler

Compiled 43 to 30 computations (30.2% saved)

localize130.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.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)))
✓	5.1b	(-.f64 (.f64 b b) (.f64 a a))
✓	8.8b	(.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)

series29.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite168.0ms (1.4%)

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	5735	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 (.f64 b b) (.f64 a a))) 1/2)) (.f64 (/.f64 -1 b) (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2) (/.f64 1 a)) (.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.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 (.f64 2 (+.f64 b a)) (-.f64 b 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 (/.f64 1 a) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (-.f64 (pow.f64 a -3) (pow.f64 b -3))) (.f64 (.f64 (.f64 2 (+.f64 b a)) (-.f64 b a)) (+.f64 (pow.f64 a -2) (+.f64 (pow.f64 b -2) (/.f64 (/.f64 1 a) b)))))))) (#(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 (/.f64 1 a) b)))))))) (#(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 (.f64 2 (+.f64 b a)) (-.f64 b 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 (/.f64 1 a) b))) (-.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 b a) (.f64 (.f64 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)) (PI.f64)) (.f64 (+.f64 (pow.f64 a -2) (+.f64 (pow.f64 b -2) (/.f64 (/.f64 1 a) b))) (.f64 (.f64 2 (+.f64 b a)) (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 a -2) (pow.f64 b -2)) (PI.f64)) (.f64 (+.f64 (/.f64 1 a) (pow.f64 b -1)) (.f64 (.f64 2 (+.f64 b a)) (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 b a) (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a)))) (.f64 (.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 a -3) (pow.f64 b -3)) (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a)))) (.f64 (+.f64 (pow.f64 a -2) (+.f64 (pow.f64 b -2) (/.f64 (/.f64 1 a) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 a -2) (pow.f64 b -2)) (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a)))) (.f64 (+.f64 (/.f64 1 a) (pow.f64 b -1)) 2))))) (#(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 (.f64 2 (+.f64 b a)) (-.f64 b 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 (.f64 b b) (.f64 a a))) 1/2)) (.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 (.f64 b b) (.f64 a a))) 1/2)) (+.f64 (pow.f64 a -2) (+.f64 (pow.f64 b -2) (/.f64 (/.f64 1 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 a -2) (pow.f64 b -2)) (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2)) (+.f64 (/.f64 1 a) (pow.f64 b -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2) (-.f64 b a)) (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2) (-.f64 (pow.f64 a -3) (pow.f64 b -3))) (+.f64 (pow.f64 a -2) (+.f64 (pow.f64 b -2) (/.f64 (/.f64 1 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2) (-.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 (.f64 2 (+.f64 b a)) (-.f64 b 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 (.f64 (PI.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 (.f64 (PI.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 (.f64 (PI.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 (.f64 (PI.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 (.f64 (PI.f64) 1/2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 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(neg.f64 (+.f64 b a)) (-.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 (/.f64 1 (+.f64 b a)) (-.f64 b a))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (.f64 (PI.f64) 1/2)) (.f64 (neg.f64 (+.f64 b a)) (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (PI.f64) 1/2) -1) (.f64 (neg.f64 (+.f64 b a)) (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (/.f64 1 (+.f64 b a)) (-.f64 b a)) (neg.f64 (PI.f64))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (-.f64 (.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 (/.f64 1 (+.f64 b a)) (-.f64 b a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 b a)) (-.f64 b a)) 3) (pow.f64 (.f64 (PI.f64) 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2)) 1))))))

simplify168.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	2505
1	333	2460
2	1093	2289
3	5638	2289

Stop Event

1×	node limit

Counts

378 → 335

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

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))
✓	0.3b	(/.f64 (PI.f64) a)
✓	3.2b	(fma.f64 b b (*.f64 a (neg.f64 a)))
✓	9.3b	(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (fma.f64 b b (.f64 a (neg.f64 a)))))

Compiler

Compiled 61 to 22 computations (63.9% saved)

series10.0ms (0.1%)

Counts

4 → 72

Calls

21 calls:

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

rewrite161.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

685×	`log-prod_binary64`
354×	`pow2_binary64`
336×	`prod-diff_binary64`
247×	`pow1/3_binary64`
244×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	296	50
2	3921	50

Stop Event

1×	node limit

Counts

4 → 307

Calls

Call 1

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

Outputs
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((x .f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))) (pow.f64 (cbrt.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))) 2) (cbrt.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 3) (pow.f64 (.f64 2 (pow.f64 (hypot.f64 b a) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 b a) 2) (fma.f64 a a (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 b a) 2) (fma.f64 -1 (.f64 a a) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 b a) 2) (fma.f64 (.f64 a a) 1 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 b a) 2) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 a) 2)) (pow.f64 (pow.f64 (cbrt.f64 a) 2) 2) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 b a) 2) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 a) 2) 2)) (pow.f64 (cbrt.f64 a) 2) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b b) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (hypot.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b b) 1) (.f64 a a))))) (#(struct:change #<rule 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simplify90.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

948×	`fma-def_binary64`
668×	`unswap-sqr_binary64`
456×	`associate-*l/_binary64`
402×	`associate-l_binary64`
400×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	1308
1	164	1254
2	482	1173
3	1727	1152
4	6013	1134

Stop Event

1×	node limit

Counts

379 → 334

Calls

Call 1

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

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

eval831.0ms (7.1%)

Compiler: Compiled 21141 to 10185 computations (51.8% saved)

prune144.0ms (1.2%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	649	20	669
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	650	21	671

Error

5.4b

Counts

671 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	9.4b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (fma.f64 (-.f64 b a) (+.f64 b a) (fma.f64 a (neg.f64 a) (*.f64 a a))))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
✓	15.1b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
▶	8.8b	(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	15.1b	(/.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) (-.f64 b a)) (.f64 2 (*.f64 b a)))
▶	28.4b	(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
	15.1b	(/.f64 (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 2 (PI.f64)))
	25.2b	(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a b)))
	18.0b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 2) (.f64 (hypot.f64 b a) (sqrt.f64 2))) (/.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (*.f64 (hypot.f64 b a) (sqrt.f64 2))))
	9.4b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (/.f64 (+.f64 b a) (/.f64 1 (-.f64 b a))))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	30.6b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (*.f64 b b))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	17.9b	(.f64 (/.f64 1 (.f64 (hypot.f64 b a) (sqrt.f64 2))) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 (hypot.f64 b a) (sqrt.f64 2))))
	20.3b	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) 1/2)) (.f64 (.f64 b a) (-.f64 (.f64 b b) (.f64 a a))))
▶	9.4b	(*.f64 (/.f64 (PI.f64) (/.f64 2 (/.f64 (/.f64 1 (+.f64 b a)) (-.f64 b a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
▶	34.0b	(.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
	32.4b	(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 a a)))
	32.4b	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
▶	30.6b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 1 b) b)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	30.5b	(.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))
	41.2b	(pow.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2)) (hypot.f64 b a)) 2)
	33.5b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 -1 a) a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	27.3b	(.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2)) 2) (-.f64 (/.f64 1 a) (/.f64 1 b)))

Compiler

Compiled 821 to 587 computations (28.5% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 a) (/.f64 1 b))
✓	0.1b	(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a))
✓	0.3b	(/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a))
✓	8.8b	(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))

Compiler

Compiled 66 to 35 computations (47% saved)

series28.0ms (0.2%)

Counts

4 → 78

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	a	@	0	(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a))
3.0ms	a	@	-inf	(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
2.0ms	b	@	inf	(-.f64 (/.f64 1 a) (/.f64 1 b))
2.0ms	b	@	0	(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
1.0ms	a	@	0	(/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a))

rewrite116.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

489×	`fma-def_binary64`
311×	`expm1-udef_binary64`
311×	`log1p-udef_binary64`
261×	`log-pow_binary64`
247×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	67
1	349	55
2	5610	55

Stop Event

1×	node limit

Counts

4 → 253

Calls

Call 1

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

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 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a)))) 1)))) (#(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 (.f64 (PI.f64) 1/2) (+.f64 b a)) (/.f64 (-.f64 b a) (+.f64 (/.f64 1 a) (/.f64 -1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 b a) (.f64 (.f64 (-.f64 b a) (/.f64 (+.f64 b a) (.f64 (PI.f64) 1/2))) (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 b a) (.f64 (.f64 b a) (.f64 (-.f64 b a) (/.f64 (+.f64 b a) (.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b a) (.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (+.f64 (/.f64 1 a) (/.f64 -1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 (-.f64 b a) (/.f64 (+.f64 b a) (.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a -3) (pow.f64 b -3)) (.f64 (.f64 (-.f64 b a) (/.f64 (+.f64 b a) (.f64 (PI.f64) 1/2))) (+.f64 (pow.f64 a -2) (+.f64 (pow.f64 b -2) (/.f64 1 (.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a -2) (pow.f64 b -2)) (.f64 (.f64 (-.f64 b a) (/.f64 (+.f64 b a) (.f64 (PI.f64) 1/2))) (+.f64 (/.f64 1 a) (/.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (+.f64 (/.f64 1 a) (/.f64 -1 b))) (-.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (+.f64 (/.f64 1 a) (/.f64 -1 b)))) (neg.f64 (-.f64 b a)))))) (#(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 (/.f64 (.f64 (PI.f64) -1/2) (+.f64 b a)) (-.f64 b a)) (.f64 (neg.f64 (-.f64 b a)) (.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 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 (pow.f64 a -3) (pow.f64 b -3))) (.f64 (-.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 (.f64 (PI.f64) -1/2) (+.f64 b a)) (-.f64 (pow.f64 a -3) (pow.f64 b -3))) (.f64 (neg.f64 (-.f64 b a)) (+.f64 (pow.f64 a -2) (+.f64 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(2) ((x /.f64 (.f64 (-.f64 (pow.f64 a -2) (pow.f64 b -2)) (.f64 (PI.f64) 1/2)) (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (-.f64 (.f64 b b) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 b a) (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a))) (.f64 (.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) 1/2) (+.f64 b a))) (.f64 (+.f64 (pow.f64 a -2) (+.f64 (pow.f64 b -2) (/.f64 1 (.f64 b a)))) (-.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) 1/2) (+.f64 b a))) (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 a -3) (pow.f64 b -3)) 1) (.f64 (+.f64 (pow.f64 a -2) (+.f64 (pow.f64 b -2) (/.f64 1 (.f64 b a)))) (.f64 (-.f64 b a) (/.f64 (+.f64 b a) (.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 a 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simplify100.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

392×	`fma-def_binary64`
390×	`distribute-rgt-out--_binary64`
320×	`fma-neg_binary64`
255×	`associate-r_binary64`
253×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	282	3779
1	1044	3132
2	5562	2095

Stop Event

1×	node limit

Counts

331 → 331

Calls

Call 1

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

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 (/.f64 1/2 (.f64 a a)) (/.f64 (PI.f64) 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 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 (*.f64 a a) b))))
(.f64 1/2 (fma.f64 -1 (+.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 (/.f64 0 (pow.f64 a 4)) (PI.f64))) (/.f64 (PI.f64) (.f64 a (.f64 a b)))))
(.f64 1/2 (-.f64 (/.f64 (PI.f64) (.f64 a (*.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 3))))
(+.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 (.f64 -1 (+.f64 (/.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 (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 (*.f64 a a) b)))))
(fma.f64 1/2 (fma.f64 -1 (+.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 (/.f64 0 (pow.f64 a 4)) (PI.f64))) (/.f64 (PI.f64) (.f64 a (.f64 a b)))) (.f64 (-.f64 (/.f64 (.f64 0 (+.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 (/.f64 0 (pow.f64 a 4)) (PI.f64)))) (.f64 a a)) (/.f64 (PI.f64) (pow.f64 a 4))) (.f64 b -1/2)))
(fma.f64 1/2 (-.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (.f64 -1/2 (.f64 (PI.f64) (neg.f64 b))) (pow.f64 a 4)))
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(fma.f64 -1/2 (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 0 a) (/.f64 (.f64 a a) (.f64 -1 (+.f64 (/.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 (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 (.f64 -1 (+.f64 (/.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 (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 (*.f64 a a) b))))))
(fma.f64 -1/2 (.f64 (.f64 b b) (-.f64 (.f64 (/.f64 0 a) (/.f64 (-.f64 (/.f64 (.f64 0 (+.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 (/.f64 0 (pow.f64 a 4)) (PI.f64)))) (.f64 a a)) (/.f64 (PI.f64) (pow.f64 a 4))) a)) (/.f64 (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 (/.f64 0 (pow.f64 a 4)) (PI.f64))) (.f64 a a)))) (fma.f64 1/2 (fma.f64 -1 (+.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 (/.f64 0 (pow.f64 a 4)) (PI.f64))) (/.f64 (PI.f64) (.f64 a (.f64 a b)))) (.f64 (-.f64 (/.f64 (.f64 0 (+.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 (/.f64 0 (pow.f64 a 4)) (PI.f64)))) (.f64 a a)) (/.f64 (PI.f64) (pow.f64 a 4))) (.f64 b -1/2))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 b b) (/.f64 (+.f64 (PI.f64) 0) (pow.f64 a 3))) (.f64 a a)) (fma.f64 1/2 (-.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (.f64 -1/2 (*.f64 (PI.f64) (neg.f64 b))) (pow.f64 a 4))))
(.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 (.f64 1/2 (PI.f64)) (.f64 b b)) a)
(+.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 (/.f64 (PI.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 (PI.f64) (.f64 b b)) a) (/.f64 (fma.f64 (PI.f64) -1 (/.f64 (PI.f64) (/.f64 a 0))) (pow.f64 b 3))))
(.f64 1/2 (-.f64 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) (/.f64 (PI.f64) (pow.f64 b 3))))
(+.f64 (.f64 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)))))
(fma.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)) (fma.f64 -1/2 (/.f64 (fma.f64 (.f64 0 a) (-.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 0 a) (/.f64 a (PI.f64)))) (.f64 (neg.f64 a) (PI.f64))) (pow.f64 b 4)) (.f64 1/2 (/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 0 a) (/.f64 a (PI.f64)))) (pow.f64 b 3)))))
(fma.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) (fma.f64 1/2 (/.f64 (fma.f64 (PI.f64) -1 (/.f64 (PI.f64) (/.f64 a 0))) (pow.f64 b 3)) (.f64 -1/2 (/.f64 (fma.f64 (fma.f64 (PI.f64) -1 (/.f64 (PI.f64) (/.f64 a 0))) 0 (*.f64 (PI.f64) (neg.f64 a))) (pow.f64 b 4)))))
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(fma.f64 -1/2 (/.f64 (.f64 -1 (+.f64 (.f64 (.f64 0 a) (fma.f64 (.f64 0 a) (-.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 0 a) (/.f64 a (PI.f64)))) (.f64 (neg.f64 a) (PI.f64)))) (.f64 (.f64 a a) (-.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 0 a) (/.f64 a (PI.f64))))))) (pow.f64 b 5)) (fma.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)) (fma.f64 -1/2 (/.f64 (fma.f64 (.f64 0 a) (-.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 0 a) (/.f64 a (PI.f64)))) (.f64 (neg.f64 a) (PI.f64))) (pow.f64 b 4)) (.f64 1/2 (/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 0 a) (/.f64 a (PI.f64)))) (pow.f64 b 3))))))
(fma.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 (fma.f64 (PI.f64) -1 (/.f64 (PI.f64) (/.f64 a 0))) 0) (.f64 (PI.f64) 0)) (.f64 (.f64 a a) (fma.f64 (PI.f64) -1 (/.f64 (PI.f64) (/.f64 a 0))))) (pow.f64 b 5)) (fma.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) (fma.f64 1/2 (/.f64 (fma.f64 (PI.f64) -1 (/.f64 (PI.f64) (/.f64 a 0))) (pow.f64 b 3)) (.f64 -1/2 (/.f64 (fma.f64 (fma.f64 (PI.f64) -1 (/.f64 (PI.f64) (/.f64 a 0))) 0 (*.f64 (PI.f64) (neg.f64 a))) (pow.f64 b 4))))))
(fma.f64 -1/2 (/.f64 (.f64 (PI.f64) (.f64 a a)) (pow.f64 b 5)) (+.f64 (.f64 1/2 (-.f64 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) (/.f64 (PI.f64) (pow.f64 b 3)))) (/.f64 -1/2 (/.f64 (pow.f64 b 4) (*.f64 (PI.f64) (neg.f64 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 (/.f64 (.f64 1/2 (PI.f64)) (.f64 b b)) a)
(+.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 (/.f64 (PI.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 (PI.f64) (.f64 b b)) a) (/.f64 (fma.f64 (PI.f64) -1 (/.f64 (PI.f64) (/.f64 a 0))) (pow.f64 b 3))))
(.f64 1/2 (-.f64 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) (/.f64 (PI.f64) (pow.f64 b 3))))
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(fma.f64 1/2 (/.f64 (fma.f64 a (PI.f64) (neg.f64 (.f64 (.f64 0 a) (-.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 0 a) (/.f64 a (PI.f64))))))) (pow.f64 b 4)) (.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.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) (.f64 b b)) a) (/.f64 (fma.f64 (PI.f64) -1 (/.f64 (PI.f64) (/.f64 a 0))) (pow.f64 b 3))) (/.f64 (fma.f64 (PI.f64) a (*.f64 (fma.f64 (PI.f64) -1 (/.f64 (PI.f64) (/.f64 a 0))) 0)) (pow.f64 b 4))))
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(+.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 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 b 3))) (+.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 5))) (.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))))
(fma.f64 -1/2 (/.f64 (.f64 -1 (.f64 (PI.f64) (+.f64 (.f64 a a) (pow.f64 (.f64 0 a) 2)))) (pow.f64 b 4)) (fma.f64 -1/2 (/.f64 (.f64 0 a) (/.f64 (pow.f64 b 3) (PI.f64))) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (.f64 (.f64 0 a) (.f64 -1 (.f64 (PI.f64) (+.f64 (.f64 a a) (pow.f64 (.f64 0 a) 2))))) (.f64 (.f64 0 a) (.f64 (PI.f64) (.f64 a a)))) (pow.f64 b 5)) (/.f64 (.f64 1/2 (PI.f64)) (*.f64 b b)))))
(+.f64 (/.f64 0 (/.f64 (pow.f64 b 3) (PI.f64))) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) (fma.f64 a a 0)))) (/.f64 (.f64 (PI.f64) 0) (pow.f64 b 5))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) (.f64 a a)))) (/.f64 0 (pow.f64 b 5)))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 b b))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))
(fma.f64 -1/2 (/.f64 (.f64 0 a) (/.f64 (pow.f64 b 3) (PI.f64))) (/.f64 (.f64 1/2 (PI.f64)) (*.f64 b b)))
(fma.f64 1/2 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 0 (/.f64 (pow.f64 b 3) (PI.f64))))
(fma.f64 1/2 (/.f64 (PI.f64) (*.f64 b b)) 0)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 b 3))) (+.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 4))) (.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))
(fma.f64 -1/2 (/.f64 (.f64 -1 (.f64 (PI.f64) (+.f64 (.f64 a a) (pow.f64 (.f64 0 a) 2)))) (pow.f64 b 4)) (fma.f64 -1/2 (/.f64 (.f64 0 a) (/.f64 (pow.f64 b 3) (PI.f64))) (/.f64 (.f64 1/2 (PI.f64)) (*.f64 b b))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) (fma.f64 a a 0)))) (/.f64 0 (/.f64 (pow.f64 b 3) (PI.f64))))
(.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) (*.f64 a a)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 b 3))) (+.f64 (.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 5))) (+.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 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))))
(fma.f64 -1/2 (/.f64 (.f64 -1 (.f64 (PI.f64) (+.f64 (.f64 a a) (pow.f64 (.f64 0 a) 2)))) (pow.f64 b 4)) (fma.f64 -1/2 (/.f64 (.f64 0 a) (/.f64 (pow.f64 b 3) (PI.f64))) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (.f64 (.f64 0 a) (.f64 -1 (.f64 (PI.f64) (+.f64 (.f64 a a) (pow.f64 (.f64 0 a) 2))))) (.f64 (.f64 0 a) (.f64 (PI.f64) (.f64 a a)))) (pow.f64 b 5)) (/.f64 (.f64 1/2 (PI.f64)) (*.f64 b b)))))
(+.f64 (/.f64 0 (/.f64 (pow.f64 b 3) (PI.f64))) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) (fma.f64 a a 0)))) (/.f64 (.f64 (PI.f64) 0) (pow.f64 b 5))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) (.f64 a a)))) (/.f64 0 (pow.f64 b 5)))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 b b))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (.f64 a (PI.f64))) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))
(fma.f64 -1/2 (/.f64 (.f64 0 a) (/.f64 (pow.f64 b 3) (PI.f64))) (/.f64 (.f64 1/2 (PI.f64)) (*.f64 b b)))
(fma.f64 1/2 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 0 (/.f64 (pow.f64 b 3) (PI.f64))))
(fma.f64 1/2 (/.f64 (PI.f64) (*.f64 b b)) 0)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 b (.f64 -1 b)) 2) (PI.f64)) (pow.f64 b 6))) (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4)))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (.f64 a (PI.f64))) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))
(fma.f64 -1/2 (/.f64 (.f64 -1 (.f64 (PI.f64) (+.f64 (.f64 a a) (pow.f64 (.f64 0 a) 2)))) (pow.f64 b 4)) (fma.f64 -1/2 (/.f64 (.f64 0 a) (/.f64 (pow.f64 b 3) (PI.f64))) (/.f64 (.f64 1/2 (PI.f64)) (*.f64 b b))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) (fma.f64 a a 0)))) (/.f64 0 (/.f64 (pow.f64 b 3) (PI.f64))))
(.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) (*.f64 a a)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4))) (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 b (.f64 -1 b)) 2) (PI.f64)) (pow.f64 b 6))))) (pow.f64 b 2))) (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) (pow.f64 b 6))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 b (.f64 -1 b)) 2) (PI.f64)) (pow.f64 b 6))) (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4)))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (.f64 a (PI.f64))) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))))
(fma.f64 -1/2 (/.f64 (.f64 -1 (.f64 (PI.f64) (+.f64 (.f64 a a) (pow.f64 (.f64 0 a) 2)))) (pow.f64 b 4)) (fma.f64 -1/2 (/.f64 (.f64 0 a) (/.f64 (pow.f64 b 3) (PI.f64))) (/.f64 (.f64 1/2 (PI.f64)) (*.f64 b b))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) (fma.f64 a a 0)))) (/.f64 0 (/.f64 (pow.f64 b 3) (PI.f64))))
(.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) (*.f64 a a)))))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(.f64 -1/2 (/.f64 (PI.f64) (.f64 a a)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (.f64 -1/2 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) (pow.f64 a 3))))
(.f64 -1/2 (+.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 (.f64 0 a) (/.f64 (pow.f64 a 4) (.f64 (PI.f64) b)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (.f64 a a)) (.f64 (/.f64 0 (pow.f64 a 4)) (PI.f64)))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) 0)
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 (pow.f64 b 2) (PI.f64)) (.f64 (pow.f64 (+.f64 b (.f64 -1 b)) 2) (PI.f64))) (pow.f64 a 4))) (.f64 -1/2 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) (pow.f64 a 3)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (.f64 a a)) (.f64 -1/2 (+.f64 (/.f64 (.f64 (PI.f64) (+.f64 (.f64 b b) (pow.f64 (.f64 0 b) 2))) (pow.f64 a 4)) (/.f64 (.f64 0 b) (/.f64 (pow.f64 a 3) (PI.f64))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (.f64 a a)) (fma.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) (fma.f64 b b 0))) (.f64 (/.f64 0 (pow.f64 a 3)) (PI.f64))))
(fma.f64 -1/2 (/.f64 (PI.f64) (.f64 a a)) (fma.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) (.f64 b b))) 0))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 (+.f64 b (.f64 -1 b)) (+.f64 (.f64 (pow.f64 b 2) (PI.f64)) (.f64 (pow.f64 (+.f64 b (.f64 -1 b)) 2) (PI.f64)))) (.f64 (+.f64 b (.f64 -1 b)) (.f64 (pow.f64 b 2) (PI.f64)))) (pow.f64 a 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 (pow.f64 b 2) (PI.f64)) (.f64 (pow.f64 (+.f64 b (.f64 -1 b)) 2) (PI.f64))) (pow.f64 a 4))) (.f64 -1/2 (/.f64 (.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 a 3))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (.f64 a a)) (.f64 -1/2 (+.f64 (/.f64 (.f64 (PI.f64) (+.f64 (.f64 b b) (pow.f64 (.f64 0 b) 2))) (pow.f64 a 4)) (/.f64 (.f64 0 b) (/.f64 (pow.f64 a 3) (PI.f64))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (.f64 a a)) (fma.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) (fma.f64 b b 0))) (.f64 (/.f64 0 (pow.f64 a 3)) (PI.f64))))
(fma.f64 -1/2 (/.f64 (PI.f64) (.f64 a a)) (fma.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) (.f64 b b))) 0))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(.f64 -1/2 (/.f64 (PI.f64) (.f64 a a)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (.f64 1/2 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) (pow.f64 a 3))))
(.f64 -1/2 (+.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 (.f64 0 a) (/.f64 (pow.f64 a 4) (.f64 (PI.f64) b)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (.f64 a a)) (.f64 (/.f64 0 (pow.f64 a 4)) (PI.f64)))
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) 0)
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 (pow.f64 b 2) (PI.f64)) (.f64 (pow.f64 (+.f64 b (.f64 -1 b)) 2) (PI.f64))) (pow.f64 a 4))) (.f64 1/2 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (PI.f64)) (pow.f64 a 3)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (.f64 a a)) (.f64 -1/2 (+.f64 (/.f64 (.f64 (PI.f64) (+.f64 (.f64 b b) (pow.f64 (.f64 0 b) 2))) (pow.f64 a 4)) (/.f64 (.f64 0 b) (/.f64 (pow.f64 a 3) (PI.f64))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (.f64 a a)) (fma.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) (fma.f64 b b 0))) (.f64 (/.f64 0 (pow.f64 a 3)) (PI.f64))))
(fma.f64 -1/2 (/.f64 (PI.f64) (.f64 a a)) (fma.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) (.f64 b b))) 0))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 (+.f64 b (.f64 -1 b)) (+.f64 (.f64 (pow.f64 b 2) (PI.f64)) (.f64 (pow.f64 (+.f64 b (.f64 -1 b)) 2) (PI.f64)))) (.f64 (+.f64 b (.f64 -1 b)) (.f64 (pow.f64 b 2) (PI.f64)))) (pow.f64 a 5))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 (pow.f64 b 2) (PI.f64)) (.f64 (pow.f64 (+.f64 b (.f64 -1 b)) 2) (PI.f64))) (pow.f64 a 4))) (.f64 1/2 (/.f64 (.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 a 3))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (.f64 a a)) (.f64 -1/2 (+.f64 (/.f64 (.f64 (PI.f64) (+.f64 (.f64 b b) (pow.f64 (.f64 0 b) 2))) (pow.f64 a 4)) (/.f64 (.f64 0 b) (/.f64 (pow.f64 a 3) (PI.f64))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (.f64 a a)) (fma.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) (fma.f64 b b 0))) (.f64 (/.f64 0 (pow.f64 a 3)) (PI.f64))))
(fma.f64 -1/2 (/.f64 (PI.f64) (.f64 a a)) (fma.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) (.f64 b b))) 0))
(/.f64 1 a)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 -1 b)
(/.f64 1 a)
(/.f64 1 a)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
✓	0.5b	(/.f64 1/2 (.f64 a (.f64 b b)))
✓	7.7b	(.f64 a (.f64 b b))

Compiler

Compiled 30 to 11 computations (63.3% saved)

series13.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite80.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

944×	`pow1_binary64`
875×	`add-log-exp_binary64`
875×	`log1p-expm1-u_binary64`
875×	`expm1-log1p-u_binary64`
856×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	191	31
2	2419	31

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

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

Outputs

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

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

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

simplify147.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1219×	`associate-/r/_binary64`
1210×	`associate-*l/_binary64`
517×	`associate-*r/_binary64`
511×	`*-commutative_binary64`
440×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	744
1	24	744
2	56	744
3	151	744
4	457	744
5	1811	744
6	3480	744
7	3894	744
8	4009	744
9	4156	744
10	4337	744
11	4588	744
12	5949	744
13	6649	744
14	7366	744

Stop Event

1×	node limit

Counts

133 → 67

Calls

Call 1

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

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))
✓	0.5b	(/.f64 (PI.f64) (*.f64 a a))
✓	5.5b	(.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))

Compiler

Compiled 41 to 22 computations (46.3% saved)

series8.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite105.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

711×	`log-prod_binary64`
372×	`log-div_binary64`
370×	`fma-def_binary64`
250×	`expm1-udef_binary64`
250×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	282	38
2	4447	38

Stop Event

1×	node limit

Counts

3 → 214

Calls

Call 1

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

Outputs

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

simplify89.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

809×	`fma-def_binary64`
701×	`associate-/r*_binary64`
643×	`associate-/l*_binary64`
522×	`associate-*l/_binary64`
515×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	825
1	60	825
2	132	735
3	341	735
4	1331	735
5	6919	735

Stop Event

1×	node limit

Counts

274 → 225

Calls

Call 1

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

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

localize60.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (/.f64 1 a) (/.f64 1 b))
✓	0.1b	(/.f64 (/.f64 1 b) b)
✓	0.2b	(*.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 1 b) b))
✓	3.4b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 1 b) b)) (-.f64 (/.f64 1 a) (/.f64 1 b)))

Compiler

Compiled 54 to 37 computations (31.5% saved)

series13.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite111.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

862×	`prod-diff_binary64`
343×	`fma-def_binary64`
319×	`log-div_binary64`
251×	`expm1-udef_binary64`
251×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	47
1	299	38
2	4467	38

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

Outputs

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

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

simplify153.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

754×	`times-frac_binary64`
608×	`associate-/r*_binary64`
551×	`associate-/l/_binary64`
536×	`unswap-sqr_binary64`
479×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	741
1	47	741
2	112	651
3	314	651
4	1127	651
5	5392	651
6	7061	651
7	7298	651
8	7550	651
9	7841	651

Stop Event

1×	node limit

Counts

185 → 148

Calls

Call 1

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

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

localize62.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 1 (+.f64 b a)) (-.f64 b a))
✓	0.1b	(/.f64 2 (/.f64 (/.f64 1 (+.f64 b a)) (-.f64 b a)))
✓	0.7b	(/.f64 (PI.f64) (/.f64 2 (/.f64 (/.f64 1 (+.f64 b a)) (-.f64 b a))))
✓	8.8b	(*.f64 (/.f64 (PI.f64) (/.f64 2 (/.f64 (/.f64 1 (+.f64 b a)) (-.f64 b a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

Compiler

Compiled 85 to 44 computations (48.2% saved)

series19.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite126.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

504×	`fma-def_binary64`
332×	`expm1-udef_binary64`
332×	`log1p-udef_binary64`
248×	`fma-neg_binary64`
199×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	81
1	382	72
2	6085	72

Stop Event

1×	node limit

Counts

4 → 169

Calls

Call 1

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

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

simplify106.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

483×	`fma-def_binary64`
433×	`fma-neg_binary64`
287×	`cancel-sign-sub-inv_binary64`
281×	`*-commutative_binary64`
267×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	344	3867
1	1247	3018
2	6861	1985

Stop Event

1×	node limit

Counts

265 → 269

Calls

Call 1

Inputs
(.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))))
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(-.f64 (+.f64 (/.f64 b (pow.f64 a 3)) (*.f64 -1 (/.f64 b (pow.f64 a 3)))) (/.f64 1 (pow.f64 a 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 b 2) (pow.f64 (+.f64 b (.f64 -1 b)) 2)) (pow.f64 a 4))) (+.f64 (/.f64 b (pow.f64 a 3)) (*.f64 -1 (/.f64 b (pow.f64 a 3))))) (/.f64 1 (pow.f64 a 2)))
(-.f64 (+.f64 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (pow.f64 b 2)) (pow.f64 a 5)) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 b 2) (pow.f64 (+.f64 b (.f64 -1 b)) 2)) (pow.f64 a 4))) (+.f64 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (+.f64 (pow.f64 b 2) (pow.f64 (+.f64 b (.f64 -1 b)) 2))) (pow.f64 a 5)) (+.f64 (/.f64 b (pow.f64 a 3)) (.f64 -1 (/.f64 b (pow.f64 a 3))))))) (/.f64 1 (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 (/.f64 1/2 b) (/.f64 (PI.f64) (.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 (*.f64 a a) b))))
(.f64 1/2 (fma.f64 -1 (+.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 (/.f64 0 (pow.f64 a 4)) (PI.f64))) (/.f64 (PI.f64) (.f64 a (.f64 a b)))))
(.f64 1/2 (-.f64 (/.f64 (PI.f64) (.f64 a (*.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 3))))
(+.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 (.f64 a a) b)))))
(fma.f64 1/2 (fma.f64 -1 (+.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 (/.f64 0 (pow.f64 a 4)) (PI.f64))) (/.f64 (PI.f64) (.f64 a (.f64 a b)))) (.f64 (-.f64 (.f64 (+.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 a 3)) (.f64 a a)) (.f64 (PI.f64) 0)) 0) (/.f64 (PI.f64) (pow.f64 a 4))) (.f64 b -1/2)))
(fma.f64 1/2 (-.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (.f64 -1/2 (.f64 (PI.f64) (neg.f64 b))) (pow.f64 a 4)))
(+.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 (*.f64 a a) b))))))
(fma.f64 -1/2 (.f64 (.f64 b b) (-.f64 (/.f64 (.f64 0 (+.f64 (.f64 (+.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 a 3)) (.f64 a a)) (.f64 (PI.f64) 0)) 0) (/.f64 (PI.f64) (pow.f64 a 4)))) (.f64 a a)) (+.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 a 3)) (.f64 a a)) (.f64 (PI.f64) 0)))) (fma.f64 1/2 (fma.f64 -1 (+.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 (/.f64 0 (pow.f64 a 4)) (PI.f64))) (/.f64 (PI.f64) (.f64 a (.f64 a b)))) (.f64 (-.f64 (.f64 (+.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 a 3)) (.f64 a a)) (.f64 (PI.f64) 0)) 0) (/.f64 (PI.f64) (pow.f64 a 4))) (*.f64 b -1/2))))
(fma.f64 -1/2 (.f64 (.f64 b b) (/.f64 (+.f64 (/.f64 (PI.f64) (pow.f64 a 3)) 0) (.f64 a a))) (fma.f64 1/2 (-.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (.f64 -1/2 (*.f64 (PI.f64) (neg.f64 b))) (pow.f64 a 4))))
(.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) (.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 (/.f64 (PI.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 (PI.f64) a) (.f64 b b)) (/.f64 (fma.f64 (PI.f64) -1 (*.f64 (/.f64 0 a) (PI.f64))) (pow.f64 b 3))))
(.f64 1/2 (-.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)) (/.f64 (PI.f64) (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)))))
(fma.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)) (fma.f64 -1/2 (/.f64 (fma.f64 (.f64 0 a) (-.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 0 a) (/.f64 a (PI.f64)))) (.f64 (neg.f64 a) (PI.f64))) (pow.f64 b 4)) (.f64 1/2 (/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 0 a) (/.f64 a (PI.f64)))) (pow.f64 b 3)))))
(fma.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)) (fma.f64 1/2 (/.f64 (fma.f64 (PI.f64) -1 (.f64 (/.f64 0 a) (PI.f64))) (pow.f64 b 3)) (.f64 -1/2 (/.f64 (fma.f64 (fma.f64 (PI.f64) -1 (.f64 (/.f64 0 a) (PI.f64))) 0 (*.f64 (PI.f64) (neg.f64 a))) (pow.f64 b 4)))))
(+.f64 (.f64 1/2 (-.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)) (/.f64 (PI.f64) (pow.f64 b 3)))) (/.f64 -1/2 (/.f64 (pow.f64 b 4) (*.f64 (PI.f64) (neg.f64 a)))))
(+.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))))))
(fma.f64 -1/2 (/.f64 (.f64 -1 (+.f64 (.f64 (.f64 0 a) (fma.f64 (.f64 0 a) (-.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 0 a) (/.f64 a (PI.f64)))) (.f64 (neg.f64 a) (PI.f64)))) (.f64 (.f64 a a) (-.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 0 a) (/.f64 a (PI.f64))))))) (pow.f64 b 5)) (fma.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)) (fma.f64 -1/2 (/.f64 (fma.f64 (.f64 0 a) (-.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 0 a) (/.f64 a (PI.f64)))) (.f64 (neg.f64 a) (PI.f64))) (pow.f64 b 4)) (.f64 1/2 (/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 0 a) (/.f64 a (PI.f64)))) (pow.f64 b 3))))))
(fma.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 (fma.f64 (PI.f64) -1 (.f64 (/.f64 0 a) (PI.f64))) 0) (.f64 (PI.f64) 0)) (.f64 (.f64 a a) (fma.f64 (PI.f64) -1 (.f64 (/.f64 0 a) (PI.f64))))) (pow.f64 b 5)) (fma.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)) (fma.f64 1/2 (/.f64 (fma.f64 (PI.f64) -1 (.f64 (/.f64 0 a) (PI.f64))) (pow.f64 b 3)) (.f64 -1/2 (/.f64 (fma.f64 (fma.f64 (PI.f64) -1 (.f64 (/.f64 0 a) (PI.f64))) 0 (*.f64 (PI.f64) (neg.f64 a))) (pow.f64 b 4))))))
(fma.f64 -1/2 (/.f64 (.f64 (PI.f64) (.f64 a a)) (pow.f64 b 5)) (+.f64 (.f64 1/2 (-.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)) (/.f64 (PI.f64) (pow.f64 b 3)))) (/.f64 -1/2 (/.f64 (pow.f64 b 4) (*.f64 (PI.f64) (neg.f64 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 (.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 (/.f64 (PI.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 (PI.f64) a) (.f64 b b)) (/.f64 (fma.f64 (PI.f64) -1 (*.f64 (/.f64 0 a) (PI.f64))) (pow.f64 b 3))))
(.f64 1/2 (-.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)) (/.f64 (PI.f64) (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)))))
(fma.f64 1/2 (/.f64 (fma.f64 a (PI.f64) (neg.f64 (.f64 (.f64 0 a) (-.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 0 a) (/.f64 a (PI.f64))))))) (pow.f64 b 4)) (.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.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) (.f64 b b)) (/.f64 (fma.f64 (PI.f64) -1 (.f64 (/.f64 0 a) (PI.f64))) (pow.f64 b 3))) (/.f64 (fma.f64 (PI.f64) a (.f64 (fma.f64 (PI.f64) -1 (*.f64 (/.f64 0 a) (PI.f64))) 0)) (pow.f64 b 4))))
(.f64 1/2 (+.f64 (-.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)) (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (fma.f64 (PI.f64) a 0) (pow.f64 b 4))))
(+.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))))))
(fma.f64 -1/2 (/.f64 (fma.f64 (fma.f64 a (PI.f64) (neg.f64 (.f64 (.f64 0 a) (-.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 0 a) (/.f64 a (PI.f64))))))) (.f64 0 a) (.f64 (neg.f64 (.f64 a a)) (-.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 0 a) (/.f64 a (PI.f64)))))) (pow.f64 b 5)) (fma.f64 1/2 (/.f64 (fma.f64 a (PI.f64) (neg.f64 (.f64 (.f64 0 a) (-.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 0 a) (/.f64 a (PI.f64))))))) (pow.f64 b 4)) (.f64 1/2 (+.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)) (/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 0 a) (/.f64 a (PI.f64)))) (pow.f64 b 3))))))
(fma.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 (fma.f64 (PI.f64) -1 (.f64 (/.f64 0 a) (PI.f64))) 0) (.f64 (PI.f64) 0)) (.f64 (.f64 a a) (fma.f64 (PI.f64) -1 (.f64 (/.f64 0 a) (PI.f64))))) (pow.f64 b 5)) (.f64 1/2 (+.f64 (+.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)) (/.f64 (fma.f64 (PI.f64) -1 (.f64 (/.f64 0 a) (PI.f64))) (pow.f64 b 3))) (/.f64 (fma.f64 (PI.f64) a (.f64 (fma.f64 (PI.f64) -1 (*.f64 (/.f64 0 a) (PI.f64))) 0)) (pow.f64 b 4)))))
(fma.f64 -1/2 (/.f64 (.f64 (PI.f64) (.f64 a a)) (pow.f64 b 5)) (.f64 1/2 (+.f64 (-.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)) (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (fma.f64 (PI.f64) a 0) (pow.f64 b 4)))))
(.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) (.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 1/2 (+.f64 (/.f64 (/.f64 (PI.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 (PI.f64) a) (.f64 b b)) (/.f64 (fma.f64 (PI.f64) -1 (*.f64 (/.f64 0 a) (PI.f64))) (pow.f64 b 3))))
(.f64 1/2 (-.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)) (/.f64 (PI.f64) (pow.f64 b 3))))
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(fma.f64 2 (.f64 b b) (.f64 -2 (fma.f64 a a 0)))
(fma.f64 2 (.f64 b b) (.f64 a (*.f64 a -2)))
(+.f64 (.f64 2 (pow.f64 b 2)) (+.f64 (.f64 2 (.f64 (+.f64 b (.f64 -1 b)) a)) (*.f64 -2 (pow.f64 a 2))))
(fma.f64 2 (.f64 b b) (fma.f64 -2 (.f64 a a) (.f64 2 (.f64 b (*.f64 0 a)))))
(fma.f64 2 (.f64 b b) (.f64 -2 (fma.f64 a a 0)))
(fma.f64 2 (.f64 b b) (.f64 a (*.f64 a -2)))
(*.f64 -2 (pow.f64 a 2))
(.f64 (.f64 a a) -2)
(.f64 a (.f64 a -2))
(+.f64 (.f64 -2 (.f64 (+.f64 b (.f64 -1 b)) a)) (.f64 -2 (pow.f64 a 2)))
(.f64 (.f64 a a) -2)
(.f64 a (.f64 a -2))
(+.f64 (.f64 2 (pow.f64 b 2)) (+.f64 (.f64 -2 (.f64 (+.f64 b (.f64 -1 b)) a)) (*.f64 -2 (pow.f64 a 2))))
(fma.f64 2 (.f64 b b) (fma.f64 -2 (.f64 a a) (.f64 2 (.f64 b (*.f64 0 a)))))
(fma.f64 2 (.f64 b b) (.f64 -2 (fma.f64 a a 0)))
(fma.f64 2 (.f64 b b) (.f64 a (*.f64 a -2)))
(+.f64 (.f64 2 (pow.f64 b 2)) (+.f64 (.f64 -2 (.f64 (+.f64 b (.f64 -1 b)) a)) (*.f64 -2 (pow.f64 a 2))))
(fma.f64 2 (.f64 b b) (fma.f64 -2 (.f64 a a) (.f64 2 (.f64 b (*.f64 0 a)))))
(fma.f64 2 (.f64 b b) (.f64 -2 (fma.f64 a a 0)))
(fma.f64 2 (.f64 b b) (.f64 a (*.f64 a -2)))
(/.f64 -1 (pow.f64 a 2))
(/.f64 -1 (*.f64 a a))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4))) (/.f64 1 (pow.f64 a 2)))
(-.f64 (neg.f64 (/.f64 (.f64 b b) (pow.f64 a 4))) (/.f64 1 (.f64 a a)))
(fma.f64 -1 (/.f64 (.f64 b b) (pow.f64 a 4)) (/.f64 -1 (.f64 a a)))
(-.f64 (/.f64 -1 (.f64 a a)) (/.f64 (.f64 b b) (pow.f64 a 4)))
(-.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 -1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (/.f64 (.f64 b b) (pow.f64 a 4)))) (/.f64 1 (*.f64 a a)))
(fma.f64 -1 (+.f64 (/.f64 (.f64 b b) (pow.f64 a 4)) (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (/.f64 -1 (.f64 a a)))
(-.f64 (/.f64 -1 (.f64 a a)) (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (/.f64 (.f64 b b) (pow.f64 a 4))))
(-.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 (fma.f64 -1 (/.f64 (pow.f64 b 6) (pow.f64 a 8)) (.f64 -1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (/.f64 (.f64 b b) (pow.f64 a 4))))) (/.f64 1 (*.f64 a a)))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 b 6)) (pow.f64 a 8)) (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (/.f64 (.f64 b b) (pow.f64 a 4))) (/.f64 -1 (.f64 a a)))
(-.f64 (-.f64 (/.f64 -1 (.f64 a a)) (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (/.f64 (.f64 b b) (pow.f64 a 4)))) (/.f64 (pow.f64 b 6) (pow.f64 a 8)))
(/.f64 1 (pow.f64 b 2))
(/.f64 1 (*.f64 b b))
(+.f64 (/.f64 1 (pow.f64 b 2)) (.f64 -1 (/.f64 (+.f64 a (.f64 -1 a)) (pow.f64 b 3))))
(+.f64 (/.f64 1 (.f64 b b)) (neg.f64 (/.f64 (.f64 0 a) (pow.f64 b 3))))
(+.f64 (/.f64 1 (*.f64 b b)) (/.f64 0 (pow.f64 b 3)))
(+.f64 0 (/.f64 1 (*.f64 b b)))
(+.f64 (/.f64 1 (pow.f64 b 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 a (.f64 -1 a)) (pow.f64 b 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 a 2)) (.f64 -1 (pow.f64 (+.f64 a (.f64 -1 a)) 2))) (pow.f64 b 4)))))
(+.f64 (/.f64 1 (.f64 b b)) (.f64 -1 (+.f64 (/.f64 (.f64 0 a) (pow.f64 b 3)) (/.f64 (.f64 -1 (+.f64 (.f64 a a) (pow.f64 (.f64 0 a) 2))) (pow.f64 b 4)))))
(+.f64 (/.f64 1 (.f64 b b)) (-.f64 (/.f64 0 (pow.f64 b 3)) (/.f64 (.f64 a (neg.f64 a)) (pow.f64 b 4))))
(+.f64 (/.f64 1 (.f64 b b)) (/.f64 (.f64 a a) (pow.f64 b 4)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 a (.f64 -1 a)) (pow.f64 a 2)) (.f64 -1 (.f64 (+.f64 a (.f64 -1 a)) (+.f64 (.f64 -1 (pow.f64 a 2)) (.f64 -1 (pow.f64 (+.f64 a (.f64 -1 a)) 2)))))) (pow.f64 b 5))) (+.f64 (/.f64 1 (pow.f64 b 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 a (.f64 -1 a)) (pow.f64 b 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 a 2)) (.f64 -1 (pow.f64 (+.f64 a (*.f64 -1 a)) 2))) (pow.f64 b 4))))))
(+.f64 (/.f64 1 (.f64 b b)) (.f64 -1 (+.f64 (/.f64 (.f64 0 a) (pow.f64 b 3)) (/.f64 (.f64 -1 (+.f64 (.f64 a a) (pow.f64 (.f64 0 a) 2))) (pow.f64 b 4)))))
(+.f64 (/.f64 1 (.f64 b b)) (-.f64 (/.f64 0 (pow.f64 b 3)) (/.f64 (.f64 a (neg.f64 a)) (pow.f64 b 4))))
(+.f64 (/.f64 1 (.f64 b b)) (/.f64 (.f64 a a) (pow.f64 b 4)))
(/.f64 1 (pow.f64 b 2))
(/.f64 1 (*.f64 b b))
(+.f64 (/.f64 1 (pow.f64 b 2)) (.f64 -1 (/.f64 (+.f64 a (.f64 -1 a)) (pow.f64 b 3))))
(+.f64 (/.f64 1 (.f64 b b)) (neg.f64 (/.f64 (.f64 0 a) (pow.f64 b 3))))
(+.f64 (/.f64 1 (*.f64 b b)) (/.f64 0 (pow.f64 b 3)))
(+.f64 0 (/.f64 1 (*.f64 b b)))
(+.f64 (/.f64 1 (pow.f64 b 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 a (.f64 -1 a)) (pow.f64 b 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 a 2)) (.f64 -1 (pow.f64 (+.f64 a (.f64 -1 a)) 2))) (pow.f64 b 4)))))
(+.f64 (/.f64 1 (.f64 b b)) (.f64 -1 (+.f64 (/.f64 (.f64 0 a) (pow.f64 b 3)) (/.f64 (.f64 -1 (+.f64 (.f64 a a) (pow.f64 (.f64 0 a) 2))) (pow.f64 b 4)))))
(+.f64 (/.f64 1 (.f64 b b)) (-.f64 (/.f64 0 (pow.f64 b 3)) (/.f64 (.f64 a (neg.f64 a)) (pow.f64 b 4))))
(+.f64 (/.f64 1 (.f64 b b)) (/.f64 (.f64 a a) (pow.f64 b 4)))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (+.f64 (.f64 -1 (pow.f64 a 2)) (.f64 -1 (pow.f64 (+.f64 a (.f64 -1 a)) 2)))) (pow.f64 b 5)) (+.f64 (/.f64 1 (pow.f64 b 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 a (.f64 -1 a)) (pow.f64 b 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 a 2)) (.f64 -1 (pow.f64 (+.f64 a (.f64 -1 a)) 2))) (pow.f64 b 4)))))))
(+.f64 (/.f64 1 (.f64 b b)) (.f64 -1 (+.f64 (/.f64 (.f64 0 a) (pow.f64 b 3)) (/.f64 (.f64 -1 (+.f64 (.f64 a a) (pow.f64 (.f64 0 a) 2))) (pow.f64 b 4)))))
(+.f64 (/.f64 1 (.f64 b b)) (-.f64 (/.f64 0 (pow.f64 b 3)) (/.f64 (.f64 a (neg.f64 a)) (pow.f64 b 4))))
(+.f64 (/.f64 1 (.f64 b b)) (/.f64 (.f64 a a) (pow.f64 b 4)))
(/.f64 1 (pow.f64 b 2))
(/.f64 1 (*.f64 b b))
(+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (/.f64 1 (pow.f64 b 2)))
(+.f64 (/.f64 1 (.f64 b b)) (.f64 -1 (+.f64 (/.f64 (.f64 0 a) (pow.f64 b 3)) (/.f64 (.f64 -1 (+.f64 (.f64 a a) (pow.f64 (.f64 0 a) 2))) (pow.f64 b 4)))))
(+.f64 (/.f64 1 (.f64 b b)) (-.f64 (/.f64 0 (pow.f64 b 3)) (/.f64 (.f64 a (neg.f64 a)) (pow.f64 b 4))))
(+.f64 (/.f64 1 (.f64 b b)) (/.f64 (.f64 a a) (pow.f64 b 4)))
(+.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 (.f64 a a) (pow.f64 b 4)) (+.f64 (/.f64 1 (.f64 b b)) (/.f64 (pow.f64 a 4) (pow.f64 b 6))))
(+.f64 (/.f64 1 (.f64 b b)) (+.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) (/.f64 (pow.f64 a 4) (pow.f64 b 6))))
(+.f64 (+.f64 (/.f64 1 (.f64 b b)) (/.f64 (.f64 a a) (pow.f64 b 4))) (/.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 (+.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 8)) (/.f64 (.f64 a a) (pow.f64 b 4))) (+.f64 (/.f64 1 (.f64 b b)) (/.f64 (pow.f64 a 4) (pow.f64 b 6))))
(+.f64 (+.f64 (/.f64 1 (.f64 b b)) (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (+.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) (/.f64 (pow.f64 a 6) (pow.f64 b 8))))
(/.f64 -1 (pow.f64 a 2))
(/.f64 -1 (*.f64 a a))
(-.f64 (.f64 -1 (/.f64 (+.f64 b (.f64 -1 b)) (pow.f64 a 3))) (/.f64 1 (pow.f64 a 2)))
(/.f64 -1 (*.f64 a a))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 b (.f64 -1 b)) (pow.f64 a 3))) (.f64 -1 (/.f64 (+.f64 (pow.f64 b 2) (pow.f64 (+.f64 b (.f64 -1 b)) 2)) (pow.f64 a 4)))) (/.f64 1 (pow.f64 a 2)))
(-.f64 (neg.f64 (/.f64 (.f64 b b) (pow.f64 a 4))) (/.f64 1 (.f64 a a)))
(fma.f64 -1 (/.f64 (.f64 b b) (pow.f64 a 4)) (/.f64 -1 (.f64 a a)))
(-.f64 (/.f64 -1 (.f64 a a)) (/.f64 (.f64 b b) (pow.f64 a 4)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 b (.f64 -1 b)) (pow.f64 a 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 b 2) (pow.f64 (+.f64 b (.f64 -1 b)) 2)) (pow.f64 a 4))) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 b (.f64 -1 b)) (+.f64 (pow.f64 b 2) (pow.f64 (+.f64 b (.f64 -1 b)) 2))) (.f64 (+.f64 b (.f64 -1 b)) (pow.f64 b 2))) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 2)))
(-.f64 (neg.f64 (/.f64 (.f64 b b) (pow.f64 a 4))) (/.f64 1 (.f64 a a)))
(fma.f64 -1 (/.f64 (.f64 b b) (pow.f64 a 4)) (/.f64 -1 (.f64 a a)))
(-.f64 (/.f64 -1 (.f64 a a)) (/.f64 (.f64 b b) (pow.f64 a 4)))
(/.f64 -1 (pow.f64 a 2))
(/.f64 -1 (*.f64 a a))
(-.f64 (+.f64 (/.f64 b (pow.f64 a 3)) (*.f64 -1 (/.f64 b (pow.f64 a 3)))) (/.f64 1 (pow.f64 a 2)))
(/.f64 -1 (*.f64 a a))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 b 2) (pow.f64 (+.f64 b (.f64 -1 b)) 2)) (pow.f64 a 4))) (+.f64 (/.f64 b (pow.f64 a 3)) (*.f64 -1 (/.f64 b (pow.f64 a 3))))) (/.f64 1 (pow.f64 a 2)))
(-.f64 (neg.f64 (/.f64 (.f64 b b) (pow.f64 a 4))) (/.f64 1 (.f64 a a)))
(fma.f64 -1 (/.f64 (.f64 b b) (pow.f64 a 4)) (/.f64 -1 (.f64 a a)))
(-.f64 (/.f64 -1 (.f64 a a)) (/.f64 (.f64 b b) (pow.f64 a 4)))
(-.f64 (+.f64 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (pow.f64 b 2)) (pow.f64 a 5)) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 b 2) (pow.f64 (+.f64 b (.f64 -1 b)) 2)) (pow.f64 a 4))) (+.f64 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (+.f64 (pow.f64 b 2) (pow.f64 (+.f64 b (.f64 -1 b)) 2))) (pow.f64 a 5)) (+.f64 (/.f64 b (pow.f64 a 3)) (.f64 -1 (/.f64 b (pow.f64 a 3))))))) (/.f64 1 (pow.f64 a 2)))
(-.f64 (neg.f64 (/.f64 (.f64 b b) (pow.f64 a 4))) (/.f64 1 (.f64 a a)))
(fma.f64 -1 (/.f64 (.f64 b b) (pow.f64 a 4)) (/.f64 -1 (.f64 a a)))
(-.f64 (/.f64 -1 (.f64 a a)) (/.f64 (.f64 b b) (pow.f64 a 4)))

eval1.1s (9.1%)

Compiler: Compiled 29521 to 18183 computations (38.4% saved)

prune286.0ms (2.4%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	1127	18	1145
Fresh	12	3	15
Picked	1	0	1
Done	4	1	5
Total	1144	22	1166

Error

Counts

1166 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	25.2b	(.f64 (PI.f64) (.f64 (/.f64 (/.f64 (/.f64 1/2 a) b) b) 1))
▶	28.1b	(/.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a)
	1.1b	(/.f64 (.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) (.f64 (-.f64 b a) (.f64 b a)))
	25.2b	(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a b)))
▶	32.4b	(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
	34.2b	(/.f64 1 (/.f64 (.f64 a a) (.f64 (PI.f64) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))))
	28.4b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 b b)) a)
	28.1b	(/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a) a)
	28.4b	(/.f64 (.f64 (/.f64 1/2 a) (PI.f64)) (.f64 b b))
	8.8b	(.f64 (.f64 (/.f64 1/2 (-.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	30.6b	(.f64 (/.f64 (.f64 (/.f64 1 b) (neg.f64 (PI.f64))) (*.f64 b -2)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
▶	0.3b	(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
	32.4b	(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 a a)))
	32.4b	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
▶	28.3b	(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
	25.9b	(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) (/.f64 -1 b))
✓	8.8b	(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	25.3b	(/.f64 1/2 (/.f64 b (/.f64 (/.f64 (PI.f64) a) b)))
	25.7b	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 2 b)) (-.f64 b a)) (.f64 b (.f64 b a)))
	1.1b	(/.f64 1 (/.f64 (-.f64 b a) (.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (+.f64 (/.f64 1 a) (/.f64 -1 b)))))
	25.2b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) b)
▶	31.8b	(*.f64 (/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (-.f64 b a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))

Compiler

Compiled 641 to 461 computations (28.1% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 33 to 15 computations (54.5% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

674×	`log-prod_binary64`
619×	`prod-diff_binary64`
232×	`log-div_binary64`
217×	`pow1/3_binary64`
212×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	226	17
2	3522	17

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

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

Outputs

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

simplify238.0ms (2%)

Algorithm

1×	egg-herbie

Rules

929×	`fma-def_binary64`
668×	`unswap-sqr_binary64`
451×	`associate-*l/_binary64`
389×	`associate-l_binary64`
387×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	49	792
1	149	792
2	447	711
3	1653	690
4	5815	672

Stop Event

1×	node limit

Counts

82 → 74

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))))))

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
✓	9.5b	(/.f64 (/.f64 1/2 b) (*.f64 a a))

Compiler

Compiled 28 to 14 computations (50% saved)

series19.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	b	@	0	(/.f64 (/.f64 1/2 b) (*.f64 a a))
4.0ms	a	@	0	(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
1.0ms	b	@	inf	(/.f64 (/.f64 1/2 b) (*.f64 a a))
1.0ms	b	@	0	(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
1.0ms	a	@	0	(/.f64 (/.f64 1/2 b) (*.f64 a a))

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

511×	`log-prod_binary64`
421×	`prod-exp_binary64`
391×	`exp-prod_binary64`
329×	`pow-prod-down_binary64`
257×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	197	24
2	2708	24

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

Outputs

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

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

simplify145.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

861×	`associate-/l/_binary64`
623×	`*-commutative_binary64`
579×	`sqr-pow_binary64`
562×	`associate-*l/_binary64`
452×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	576
1	24	576
2	56	576
3	151	576
4	499	576
5	2016	576
6	2787	576
7	3201	576
8	3316	576
9	3466	576
10	3644	576
11	5477	576
12	6021	576
13	6391	576
14	6847	576
15	7428	576

Stop Event

1×	node limit

Counts

157 → 113

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
	7.7b	(.f64 a (.f64 b b))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`log-prod_binary64`
463×	`exp-prod_binary64`
310×	`pow-prod-down_binary64`
254×	`pow2_binary64`
207×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	193	14
2	2752	14

Stop Event

1×	node limit

Counts

1 → 73

Calls

Call 1

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

Outputs

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

simplify178.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

751×	`associate-/r/_binary64`
738×	`associate-*r/_binary64`
634×	`*-commutative_binary64`
579×	`sqr-pow_binary64`
551×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	336
1	21	336
2	51	336
3	141	336
4	431	336
5	1740	336
6	3287	336
7	3982	336
8	4096	336
9	4243	336
10	4418	336
11	4671	336
12	5730	336
13	6181	336
14	6654	336
15	7237	336
16	7947	336

Stop Event

1×	node limit

Counts

97 → 75

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))))

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

localize68.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))
✓	0.1b	(/.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a)
✓	0.2b	(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
	0.3b	(/.f64 (PI.f64) a)

Compiler

Compiled 47 to 28 computations (40.4% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite99.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

769×	`log-prod_binary64`
396×	`log-div_binary64`
367×	`fma-def_binary64`
255×	`expm1-udef_binary64`
255×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	284	37
2	4547	37

Stop Event

1×	node limit

Counts

2 → 143

Calls

Call 1

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

Outputs

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

simplify117.0ms (1%)

Algorithm

1×	egg-herbie

Rules

816×	`times-frac_binary64`
647×	`associate-/l/_binary64`
566×	`associate-/r*_binary64`
536×	`unswap-sqr_binary64`
501×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	987
1	53	987
2	130	807
3	324	807
4	1197	807
5	5680	807
6	7332	807
7	7536	807
8	7789	807

Stop Event

1×	node limit

Counts

191 → 155

Calls

Call 1

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

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

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (-.f64 b a))
✓	0.2b	(/.f64 a (PI.f64))
✓	0.3b	(/.f64 1/2 (/.f64 a (PI.f64)))
✓	5.6b	(*.f64 (/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (-.f64 b a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))

Compiler

Compiled 57 to 30 computations (47.4% saved)

series13.0ms (0.1%)

Counts

4 → 60

Calls

18 calls:

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

rewrite114.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`prod-diff_binary64`
294×	`expm1-udef_binary64`
294×	`log1p-udef_binary64`
173×	`add-sqr-sqrt_binary64`
167×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	53
1	331	53
2	5268	53

Stop Event

1×	node limit

Counts

4 → 164

Calls

Call 1

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

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

simplify99.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

736×	`associate-*r/_binary64`
668×	`associate-r_binary64`
633×	`associate-l_binary64`
621×	`unswap-sqr_binary64`
419×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	1191
1	161	1179
2	519	1083
3	2155	1050
4	7102	1050

Stop Event

1×	node limit

Counts

224 → 183

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

eval350.0ms (3%)

Compiler: Compiled 14706 to 8242 computations (44% saved)

prune160.0ms (1.4%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	780	11	791
Fresh	9	7	16
Picked	1	0	1
Done	2	3	5
Total	792	21	813

Error

Counts

813 → 21

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.4b	(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
	28.4b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 b b)) a)
	26.5b	(/.f64 (.f64 (/.f64 1/2 (.f64 a b)) (PI.f64)) a)
	28.1b	(/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a) a)
▶	28.4b	(/.f64 (.f64 (/.f64 1/2 a) (PI.f64)) (.f64 b b))
	8.8b	(.f64 (.f64 (/.f64 1/2 (-.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	32.4b	(/.f64 (.f64 (PI.f64) 1/2) (.f64 b (*.f64 a a)))
	28.4b	(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 b b)))
	5.6b	(.f64 (/.f64 1 b) (/.f64 (.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) a))
▶	0.3b	(/.f64 (.f64 (/.f64 (PI.f64) 1) (/.f64 1/2 (+.f64 b a))) (.f64 b a))
	26.5b	(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 a))
▶	25.1b	(.f64 (/.f64 1/2 (.f64 a b)) (/.f64 (PI.f64) b))
✓	0.3b	(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
▶	0.3b	(.f64 (/.f64 1/2 (.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))
✓	28.3b	(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
	25.2b	(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 1/2 b))
	26.4b	(/.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a b))) a)
▶	25.3b	(/.f64 1/2 (/.f64 b (/.f64 (/.f64 (PI.f64) a) b)))
	26.4b	(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a)
	25.7b	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 2 b)) (-.f64 b a)) (.f64 b (.f64 b a)))
	25.2b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) b)

Compiler

Compiled 491 to 353 computations (28.1% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1/2 (+.f64 b a))
✓	0.2b	(/.f64 (.f64 (/.f64 (PI.f64) 1) (/.f64 1/2 (+.f64 b a))) (.f64 b a))
✓	0.4b	(*.f64 (/.f64 (PI.f64) 1) (/.f64 1/2 (+.f64 b a)))

Compiler

Compiled 43 to 22 computations (48.8% saved)

series7.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite93.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

728×	`log-prod_binary64`
637×	`prod-diff_binary64`
292×	`log-div_binary64`
224×	`expm1-udef_binary64`
224×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	277	35
2	3864	35

Stop Event

1×	node limit

Counts

3 → 130

Calls

Call 1

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

Outputs

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

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

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

simplify178.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

991×	`associate-/l/_binary64`
628×	`times-frac_binary64`
481×	`fma-def_binary64`
443×	`associate-/l*_binary64`
400×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	105	2058
1	323	2046
2	1057	1917
3	4235	1782
4	5235	1725
5	6301	1725
6	6760	1725
7	6989	1725
8	7194	1725

Stop Event

1×	node limit

Counts

202 → 176

Calls

Call 1

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 26 to 11 computations (57.7% saved)

series6.0ms (0.1%)

Counts

3 → 24

Calls

15 calls:

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

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

545×	`log-prod_binary64`
408×	`exp-prod_binary64`
366×	`pow-prod-down_binary64`
268×	`pow2_binary64`
197×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	200	26
2	2806	26

Stop Event

1×	node limit

Counts

3 → 161

Calls

Call 1

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

Outputs

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

simplify146.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

751×	`associate-/r/_binary64`
738×	`associate-*r/_binary64`
634×	`*-commutative_binary64`
579×	`sqr-pow_binary64`
551×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	336
1	21	336
2	51	336
3	141	336
4	431	336
5	1740	336
6	3287	336
7	3982	336
8	4096	336
9	4243	336
10	4418	336
11	4671	336
12	5730	336
13	6181	336
14	6654	336
15	7237	336
16	7947	336

Stop Event

1×	node limit

Counts

185 → 163

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))))

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

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 b (/.f64 (/.f64 (PI.f64) a) b))
✓	0.2b	(/.f64 (/.f64 (PI.f64) a) b)
	0.3b	(/.f64 (PI.f64) a)
✓	0.5b	(/.f64 1/2 (/.f64 b (/.f64 (/.f64 (PI.f64) a) b)))

Compiler

Compiled 30 to 9 computations (70% saved)

series15.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite125.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`log-prod_binary64`
332×	`pow-prod-down_binary64`
275×	`pow2_binary64`
243×	`log-div_binary64`
242×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	207	33
2	3064	33

Stop Event

1×	node limit

Counts

3 → 143

Calls

Call 1

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

Outputs

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

simplify247.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

680×	`associate-/l/_binary64`
675×	`*-commutative_binary64`
578×	`sqr-pow_binary64`
545×	`associate-*l/_binary64`
427×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	792
1	28	792
2	59	792
3	143	792
4	474	792
5	1908	792
6	2617	792
7	3332	792
8	3432	792
9	3579	792
10	3750	792
11	5348	792
12	5667	792
13	6086	792
14	6540	792
15	7121	792
16	7833	792

Stop Event

1×	node limit

Counts

215 → 149

Calls

Call 1

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

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

localize25.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 1/2 a) (PI.f64))
✓	7.8b	(/.f64 (.f64 (/.f64 1/2 a) (PI.f64)) (.f64 b b))

Compiler

Compiled 26 to 14 computations (46.2% saved)

series5.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite104.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`log-prod_binary64`
434×	`exp-prod_binary64`
330×	`pow-prod-down_binary64`
264×	`pow2_binary64`
189×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	200	22
2	2855	22

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

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

Outputs

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

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

simplify190.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

754×	`associate-*r/_binary64`
743×	`associate-/r/_binary64`
621×	`*-commutative_binary64`
579×	`sqr-pow_binary64`
553×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	432
1	24	432
2	52	432
3	137	432
4	434	432
5	1792	432
6	3351	432
7	4035	432
8	4149	432
9	4296	432
10	4471	432
11	4722	432
12	5773	432
13	6223	432
14	6689	432
15	7272	432
16	7980	432

Stop Event

1×	node limit

Counts

130 → 97

Calls

Call 1

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

localize46.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 12 computations (63.6% saved)

series12.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite111.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`log-prod_binary64`
601×	`prod-diff_binary64`
312×	`pow2_binary64`
235×	`log-div_binary64`
220×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	230	32
2	3449	32

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

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

Outputs

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

simplify137.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

679×	`associate-/l/_binary64`
628×	`associate-/r/_binary64`
553×	`fma-neg_binary64`
450×	`times-frac_binary64`
306×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	1635
1	225	1602
2	764	1479
3	3440	1386
4	7548	1386

Stop Event

1×	node limit

Counts

213 → 173

Calls

Call 1

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

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

eval358.0ms (3%)

Compiler: Compiled 12030 to 5928 computations (50.7% saved)

prune176.0ms (1.5%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	791	7	798
Fresh	8	5	13
Picked	1	0	1
Done	4	3	7
Total	804	15	819

Error

Counts

819 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.4b	(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
	25.3b	(/.f64 (PI.f64) (.f64 (.f64 (*.f64 a b) 2) b))
	0.3b	(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b)) (+.f64 b a))
	26.5b	(/.f64 (.f64 (/.f64 1/2 (.f64 a b)) (PI.f64)) a)
	25.2b	(/.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 b (PI.f64)))
	6.1b	(/.f64 (.f64 (/.f64 1/2 b) (PI.f64)) (.f64 a (+.f64 b a)))
✓	28.3b	(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
	26.4b	(/.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a b))) a)
✓	25.3b	(/.f64 1/2 (/.f64 b (/.f64 (/.f64 (PI.f64) a) b)))
	26.4b	(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a)
	32.4b	(/.f64 (.f64 (PI.f64) 1/2) (.f64 b (*.f64 a a)))
	1.1b	(/.f64 1/2 (/.f64 (*.f64 b a) (/.f64 (PI.f64) (+.f64 b a))))
	25.1b	(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
	26.5b	(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 a))
	25.1b	(/.f64 (.f64 (/.f64 1/2 b) (PI.f64)) (.f64 b a))

Compiler

Compiled 171 to 123 computations (28.1% saved)

regimes151.0ms (1.3%)

Counts

58 → 1

Calls

Call 1

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

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

Calls

3 calls:

62.0ms	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
36.0ms	b
32.0ms	a

Results

Error	Segments	Branch
0.3b	1	`a`
0.3b	1	`b`
0.3b	1	`(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))`

Compiler

Compiled 848 to 429 computations (49.4% saved)

regimes39.0ms (0.3%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	b
15.0ms	a

Results

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

Compiler

Compiled 285 to 128 computations (55.1% saved)

regimes82.0ms (0.7%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

2 calls:

61.0ms	b
15.0ms	a

Results

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

Compiler

Compiled 261 to 118 computations (54.8% saved)

regimes60.0ms (0.5%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

2 calls:

40.0ms	a
14.0ms	b

Results

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

Compiler

Compiled 239 to 108 computations (54.8% saved)

regimes86.0ms (0.7%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

2 calls:

46.0ms	a
35.0ms	b

Results

Error	Segments	Branch
5.4b	3	`a`
5.4b	3	`b`

Compiler

Compiled 206 to 93 computations (54.9% saved)

bsearch61.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	1.2402147671858271e-29	6.455980217457786e-25
31.0ms	-1.4329783210836582e-32	-7.115629987717502e-46

Compiler

Compiled 28 to 21 computations (25% saved)

regimes79.0ms (0.7%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

55.0ms	a
19.0ms	b

Results

Error	Segments	Branch
5.5b	3	`a`
5.4b	3	`b`

Compiler

Compiled 98 to 50 computations (49% saved)

bsearch157.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
56.0ms	1.2402147671858271e-29	6.455980217457786e-25
100.0ms	-1.4329783210836582e-32	-7.115629987717502e-46

Compiler

Compiled 28 to 21 computations (25% saved)

regimes53.0ms (0.5%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

42.0ms	b
9.0ms	a

Results

Error	Segments	Branch
25.1b	1	`a`
25.1b	1	`b`

Compiler

Compiled 44 to 26 computations (40.9% saved)

regimes17.0ms (0.1%)

Accuracy

Total -0.3b remaining (-1.1%)

Threshold costs -0.3b (-1.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	a
7.0ms	b

Results

Error	Segments	Branch
25.2b	1	`a`
25.2b	1	`b`

Compiler

Compiled 26 to 16 computations (38.5% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`/-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	218
1	64	218

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 (PI.f64) 1) (/.f64 1/2 (+.f64 b a))) (.f64 b a))
(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
(.f64 (/.f64 1/2 (.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b)) (+.f64 b a))
(if (<=.f64 b -20943001625234548/1461501637330902918203684832716283019655932542976) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) (if (<=.f64 b 18125759128840509440/1461501637330902918203684832716283019655932542976) (/.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a b))) a) (/.f64 (PI.f64) (.f64 (.f64 (*.f64 a b) 2) b))))
(if (<=.f64 b -20943001625234548/1461501637330902918203684832716283019655932542976) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) (if (<=.f64 b 18125759128840509440/1461501637330902918203684832716283019655932542976) (/.f64 (.f64 (/.f64 1/2 (.f64 a b)) (PI.f64)) a) (/.f64 (PI.f64) (.f64 (.f64 (*.f64 a b) 2) b))))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(/.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 b (PI.f64)))
(/.f64 (PI.f64) (.f64 (.f64 (*.f64 a b) 2) b))

Outputs
(/.f64 (.f64 (/.f64 (PI.f64) 1) (/.f64 1/2 (+.f64 b a))) (.f64 b a))
(/.f64 (.f64 (PI.f64) (/.f64 1/2 (+.f64 b a))) (.f64 b a))
(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
(.f64 (/.f64 1/2 (.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))
(.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 1/2 (.f64 b a)))
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1/2 a) b)) (+.f64 b a))
(if (<=.f64 b -20943001625234548/1461501637330902918203684832716283019655932542976) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) (if (<=.f64 b 18125759128840509440/1461501637330902918203684832716283019655932542976) (/.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 a b))) a) (/.f64 (PI.f64) (.f64 (.f64 (*.f64 a b) 2) b))))
(if (<=.f64 b -5235750406308637/365375409332725729550921208179070754913983135744) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) (if (<=.f64 b 8850468324629155/713623846352979940529142984724747568191373312) (/.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 b a))) a) (/.f64 (PI.f64) (.f64 b (.f64 (*.f64 b a) 2)))))
(if (<=.f64 b -20943001625234548/1461501637330902918203684832716283019655932542976) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) (if (<=.f64 b 18125759128840509440/1461501637330902918203684832716283019655932542976) (/.f64 (.f64 (/.f64 1/2 (.f64 a b)) (PI.f64)) a) (/.f64 (PI.f64) (.f64 (.f64 (*.f64 a b) 2) b))))
(if (<=.f64 b -5235750406308637/365375409332725729550921208179070754913983135744) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) (if (<=.f64 b 8850468324629155/713623846352979940529142984724747568191373312) (/.f64 (.f64 (PI.f64) (/.f64 1/2 (.f64 b a))) a) (/.f64 (PI.f64) (.f64 b (.f64 (*.f64 b a) 2)))))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(/.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 b (PI.f64)))
(/.f64 (/.f64 1/2 (*.f64 b a)) (/.f64 b (PI.f64)))
(/.f64 (PI.f64) (.f64 (.f64 (*.f64 a b) 2) b))
(/.f64 (PI.f64) (.f64 b (.f64 (*.f64 b a) 2)))

Compiler

Compiled 159 to 106 computations (33.3% saved)

soundness0.0ms (0%)

end161.0ms (1.4%)

Compiler: Compiled 143 to 69 computations (51.7% saved)