Details

analyze298.0ms (2.7%)

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)

sample1.6s (14.4%)

Results

1.5s	8256×	body	256	valid
105.0ms	662×	body	256	invalid

preprocess43.0ms (0.4%)

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)

simplify41.0ms (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)))))

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

7.6b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.0b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
▶	7.7b	(/.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

▶

12.0b

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

▶

7.7b

(/.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)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))))
✓	0.4b	(/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))
✓	3.7b	(-.f64 (.f64 b b) (.f64 a a))
✓	7.6b	(.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)

series26.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite179.0ms (1.6%)

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))))))

simplify117.0ms (1.1%)

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))))
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(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))))))

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (PI.f64) a)
✓	0.2b	(fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))
✓	2.5b	(fma.f64 b b (*.f64 a (neg.f64 a)))
✓	7.6b	(/.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	a	@	0	(fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.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	b	@	-inf	(fma.f64 b b (*.f64 a (neg.f64 a)))

rewrite158.0ms (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)))
(fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))
(/.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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simplify91.0ms (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))))
(.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))))
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(-.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)))
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eval375.0ms (3.4%)

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

prune118.0ms (1.1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	651	18	669
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	653	18	671

Error

4.6b

Counts

671 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	29.3b	(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a b)))
	7.7b	(*.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 b a)) (-.f64 b a)) (/.f64 2 (PI.f64))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	16.5b	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) 1/2)) (.f64 (.f64 b a) (-.f64 (.f64 b b) (.f64 a a))))
	8.2b	(.f64 (.f64 (/.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (+.f64 b a)) (-.f64 b a))) 3)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	28.2b	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
▶	33.1b	(cbrt.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))
	29.8b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (*.f64 a (neg.f64 a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	37.1b	(/.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)))))
	34.1b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 1 b) b)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
▶	12.0b	(/.f64 (.f64 (PI.f64) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (*.f64 a a)))) 2)
	12.0b	(/.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) (-.f64 b a)) (.f64 2 (*.f64 b a)))
▶	7.6b	(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
▶	34.2b	(.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))
▶	32.4b	(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
	29.8b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 -1 a) a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	32.5b	(/.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))))
	23.1b	(.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))))
	28.2b	(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 a a)))

Compiler

Compiled 728 to 528 computations (27.5% saved)

localize27.0ms (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))
✓	0.2b	(/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a))
✓	7.6b	(.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)

series24.0ms (0.2%)

Counts

4 → 78

Calls

24 calls:

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

rewrite110.0ms (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) 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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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simplify97.0ms (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)))))
(+.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))))
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(+.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)))))
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(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)
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(.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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(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
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(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 b b)) a)
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(.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))))
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(.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 (.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)

localize11.0ms (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))))
✓	0.6b	(/.f64 1/2 (.f64 a (.f64 b b)))
✓	7.0b	(.f64 a (.f64 b b))

Compiler

Compiled 30 to 11 computations (63.3% saved)

series10.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite92.0ms (0.8%)

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))))))))

simplify191.0ms (1.7%)

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)))

localize34.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1/2 a) (/.f64 -1/2 b))
✓	0.4b	(/.f64 (PI.f64) (*.f64 b b))
✓	3.0b	(.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))

Compiler

Compiled 41 to 22 computations (46.3% saved)

series13.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite115.0ms (1%)

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

Outputs

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

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

824×	`fma-def_binary64`
644×	`associate-/l*_binary64`
553×	`associate-*l/_binary64`
536×	`unswap-sqr_binary64`
530×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	825
1	62	825
2	134	735
3	350	735
4	1309	735
5	6051	735

Stop Event

1×	node limit

Counts

274 → 227

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

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

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (.f64 (PI.f64) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (*.f64 a a)))) 2)
✓	0.2b	(.f64 (PI.f64) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (*.f64 a a))))
	3.7b	(-.f64 (.f64 b b) (.f64 a a))
✓	7.7b	(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (.f64 a a)))

Compiler

Compiled 85 to 40 computations (52.9% saved)

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

690×	`fma-def_binary64`
314×	`fma-neg_binary64`
311×	`expm1-udef_binary64`
311×	`log1p-udef_binary64`
260×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	77
1	368	44
2	5459	44

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

Inputs

(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a)))

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

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

Outputs

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

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

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

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

696×	`associate-*l/_binary64`
522×	`associate-r_binary64`
495×	`associate-l_binary64`
434×	`associate-/l/_binary64`
419×	`associate-*r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	2106
1	264	2070
2	790	1953
3	2935	1914

Stop Event

1×	node limit

Counts

164 → 140

Calls

Call 1

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

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

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (PI.f64) 1/2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (.f64 a a))))
	3.7b	(-.f64 (.f64 b b) (.f64 a a))
	7.7b	(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (.f64 a a)))
✓	27.3b	(cbrt.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))

Compiler

Compiled 115 to 59 computations (48.7% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(cbrt.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))
1.0ms	a	@	0	(cbrt.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))
0.0ms	b	@	-inf	(cbrt.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))
0.0ms	a	@	-inf	(cbrt.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))
0.0ms	a	@	inf	(cbrt.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))

rewrite80.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

706×	`fma-def_binary64`
336×	`expm1-udef_binary64`
336×	`log1p-udef_binary64`
314×	`fma-neg_binary64`
205×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	58
1	430	34
2	5856	34

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

Inputs

(cbrt.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))

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

Outputs

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

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	49	1584
1	149	1584
2	447	1422
3	1650	1380
4	5812	1344

Stop Event

1×	node limit

Counts

128 → 73

Calls

Call 1

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

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

eval543.0ms (4.9%)

Compiler: Compiled 30924 to 16805 computations (45.7% saved)

prune222.0ms (2%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	1195	17	1212
Fresh	9	4	13
Picked	1	0	1
Done	3	1	4
Total	1208	22	1230

Error

0.0b

Counts

1230 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	0.9b	(/.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (.f64 a b))) 2)
✓	32.4b	(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
▶	28.1b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a a)))
	32.2b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) a) (.f64 b b))
	28.2b	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
	29.8b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (*.f64 a (neg.f64 a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	1.0b	(/.f64 1 (/.f64 (-.f64 b a) (.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (+.f64 (/.f64 1 a) (/.f64 -1 b)))))
▶	1.0b	(.f64 (/.f64 1/2 (.f64 (+.f64 a b) (*.f64 a b))) (PI.f64))
▶	32.4b	(/.f64 (/.f64 (PI.f64) (.f64 a (.f64 b b))) 2)
	0.3b	(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (PI.f64)) (+.f64 a b)) (-.f64 b a)) 2)
	31.3b	(/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b))) b) b)
	29.2b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))
▶	12.0b	(/.f64 (-.f64 b a) (.f64 (.f64 (-.f64 b a) (/.f64 (+.f64 b a) (.f64 (PI.f64) 1/2))) (.f64 b a)))
	29.3b	(.f64 (PI.f64) (.f64 (/.f64 (/.f64 (/.f64 1/2 a) b) b) 1))
	0.3b	(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
	20.9b	(pow.f64 (sqrt.f64 (/.f64 (.f64 (PI.f64) 1/2) (.f64 (+.f64 a b) (*.f64 a b)))) 2)
	29.2b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) b)
	29.3b	(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a b)))
	28.2b	(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) 2)
▶	0.3b	(/.f64 (.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (+.f64 (/.f64 1 a) (/.f64 -1 b))) (-.f64 b a))
	28.2b	(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 a a)))
	0.3b	(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (/.f64 (-.f64 b a) (+.f64 (/.f64 1 a) (/.f64 -1 b))))

Compiler

Compiled 629 to 452 computations (28.1% saved)

localize69.0ms (0.6%)

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

Compiler

Compiled 71 to 41 computations (42.3% saved)

series10.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite107.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

591×	`fma-def_binary64`
327×	`expm1-udef_binary64`
327×	`log1p-udef_binary64`
291×	`fma-neg_binary64`
191×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	62
1	370	62
2	6076	62

Stop Event

1×	node limit

Counts

3 → 203

Calls

Call 1

Inputs

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

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

(+.f64 (/.f64 1 a) (/.f64 -1 b))

Outputs

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

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

553×	`distribute-rgt-in_binary64`
528×	`distribute-lft-in_binary64`
298×	`fma-def_binary64`
274×	`distribute-rgt-out_binary64`
266×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	3094
1	863	2609
2	3746	1693

Stop Event

1×	node limit

Counts

275 → 268

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a a)))
✓	0.2b	(/.f64 (PI.f64) b)
✓	7.4b	(/.f64 (/.f64 (PI.f64) b) (*.f64 a a))

Compiler

Compiled 28 to 9 computations (67.9% saved)

series18.0ms (0.2%)

Counts

3 → 48

Calls

15 calls:

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

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

531×	`log-prod_binary64`
410×	`exp-prod_binary64`
322×	`pow-prod-down_binary64`
259×	`pow2_binary64`
187×	`div-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	196	30
2	2757	30

Stop Event

1×	node limit

Counts

3 → 153

Calls

Call 1

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

Outputs

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

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

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

simplify167.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

920×	`associate-*r/_binary64`
833×	`associate-/r/_binary64`
665×	`*-commutative_binary64`
652×	`associate-*l/_binary64`
440×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	600
1	21	600
2	51	600
3	139	600
4	456	600
5	1865	600
6	3666	600
7	4080	600
8	4195	600
9	4343	600
10	4518	600
11	4769	600
12	6108	600
13	6756	600
14	7219	600
15	7802	600

Stop Event

1×	node limit

Counts

201 → 157

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 (PI.f64) (.f64 a (.f64 b b))) 2)
✓	0.7b	(/.f64 (PI.f64) (.f64 a (.f64 b b)))
	7.0b	(.f64 a (.f64 b b))

Compiler

Compiled 30 to 9 computations (70% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

531×	`log-prod_binary64`
406×	`exp-prod_binary64`
317×	`pow-prod-down_binary64`
252×	`pow2_binary64`
178×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	197	25
2	2687	25

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

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simplify236.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

752×	`associate-/r/_binary64`
730×	`associate-*r/_binary64`
629×	`*-commutative_binary64`
579×	`sqr-pow_binary64`
555×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	600
1	21	600
2	51	600
3	140	600
4	430	600
5	1749	600
6	3300	600
7	3993	600
8	4107	600
9	4254	600
10	4429	600
11	4680	600
12	5732	600
13	6184	600
14	6657	600
15	7244	600
16	7954	600

Stop Event

1×	node limit

Counts

154 → 110

Calls

Call 1

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

localize31.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 39 to 12 computations (69.2% saved)

series30.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
11.0ms	a	@	0	(.f64 (/.f64 1/2 (.f64 (+.f64 a b) (*.f64 a b))) (PI.f64))
3.0ms	a	@	-inf	(.f64 (+.f64 a b) (.f64 a b))
1.0ms	a	@	0	(/.f64 1/2 (.f64 (+.f64 a b) (.f64 a b)))
1.0ms	b	@	-inf	(.f64 (+.f64 a b) (.f64 a b))
1.0ms	a	@	inf	(/.f64 1/2 (.f64 (+.f64 a b) (.f64 a b)))

rewrite140.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

583×	`log-prod_binary64`
583×	`prod-diff_binary64`
292×	`pow2_binary64`
278×	`fma-def_binary64`
218×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	221	40
2	3090	40

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

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

Outputs

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

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

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

simplify131.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

740×	`associate-*l/_binary64`
525×	`associate-l_binary64`
446×	`fma-neg_binary64`
444×	`associate-r_binary64`
444×	`associate-*r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	1686
1	252	1686
2	728	1587
3	2487	1500
4	7365	1500

Stop Event

1×	node limit

Counts

170 → 136

Calls

Call 1

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

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

localize104.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 b a) (/.f64 (+.f64 b a) (.f64 (PI.f64) 1/2)))
✓	0.2b	(/.f64 (+.f64 b a) (*.f64 (PI.f64) 1/2))
✓	1.1b	(.f64 (.f64 (-.f64 b a) (/.f64 (+.f64 b a) (.f64 (PI.f64) 1/2))) (.f64 b a))
✓	10.8b	(/.f64 (-.f64 b a) (.f64 (.f64 (-.f64 b a) (/.f64 (+.f64 b a) (.f64 (PI.f64) 1/2))) (.f64 b a)))

Compiler

Compiled 70 to 27 computations (61.4% saved)

series31.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	b	@	0	(.f64 (.f64 (-.f64 b a) (/.f64 (+.f64 b a) (.f64 (PI.f64) 1/2))) (.f64 b a))
2.0ms	a	@	0	(.f64 (.f64 (-.f64 b a) (/.f64 (+.f64 b a) (.f64 (PI.f64) 1/2))) (.f64 b a))
2.0ms	b	@	inf	(.f64 (.f64 (-.f64 b a) (/.f64 (+.f64 b a) (.f64 (PI.f64) 1/2))) (.f64 b a))
1.0ms	b	@	-inf	(.f64 (.f64 (-.f64 b a) (/.f64 (+.f64 b a) (.f64 (PI.f64) 1/2))) (.f64 b a))
1.0ms	a	@	0	(.f64 (-.f64 b a) (/.f64 (+.f64 b a) (.f64 (PI.f64) 1/2)))

rewrite152.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`log-prod_binary64`
393×	`fma-def_binary64`
322×	`log-div_binary64`
273×	`expm1-udef_binary64`
273×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	80
1	298	68
2	4940	68

Stop Event

1×	node limit

Counts

4 → 195

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 b (.f64 b a)) (.f64 (-.f64 b a) (.f64 (+.f64 b a) (/.f64 2 (PI.f64))))) (neg.f64 (/.f64 (/.f64 a (-.f64 b a)) (.f64 (+.f64 b a) (.f64 (/.f64 2 (PI.f64)) (.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a)))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 b (.f64 b a)) (.f64 (-.f64 b a) (.f64 (+.f64 b a) (/.f64 2 (PI.f64))))) (/.f64 (/.f64 a (-.f64 b a)) (.f64 (+.f64 b a) (.f64 (/.f64 2 (PI.f64)) (.f64 b a)))))))) (#(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 b a) (/.f64 (/.f64 1 (-.f64 b a)) (.f64 (+.f64 b a) (.f64 (/.f64 2 (PI.f64)) (.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))) 2) (cbrt.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 b a)) 2) (.f64 (cbrt.f64 (-.f64 b a)) (/.f64 (/.f64 1 (-.f64 b a)) (.f64 (+.f64 b a) (.f64 (/.f64 2 (PI.f64)) (.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))) (sqrt.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 b a)) (.f64 (sqrt.f64 (-.f64 b a)) (/.f64 (/.f64 1 (-.f64 b a)) (.f64 (+.f64 b a) (.f64 (/.f64 2 (PI.f64)) (.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (-.f64 b a)) (/.f64 1 (.f64 (.f64 (-.f64 b a) (.f64 (+.f64 b a) (/.f64 2 (PI.f64)))) (neg.f64 (.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (/.f64 1 (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (-.f64 b a)) (.f64 (+.f64 b a) (.f64 (/.f64 2 (PI.f64)) (.f64 b a)))) (-.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 b a)) (/.f64 (-.f64 b a) (.f64 (+.f64 b a) (.f64 (/.f64 2 (PI.f64)) (.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (-.f64 b a) (.f64 (+.f64 b a) (/.f64 2 (PI.f64))))) (/.f64 (-.f64 b a) (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 b a)) (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 b (.f64 a (.f64 (-.f64 b a) (.f64 (+.f64 b a) (/.f64 2 (PI.f64))))))) 2)) (/.f64 (-.f64 b a) (cbrt.f64 (.f64 b (.f64 a (.f64 (-.f64 b a) (.f64 (+.f64 b a) (/.f64 2 (PI.f64)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 b (.f64 a (.f64 (-.f64 b a) (.f64 (+.f64 b a) (/.f64 2 (PI.f64)))))))) (/.f64 (-.f64 b a) (sqrt.f64 (.f64 b (.f64 a (.f64 (-.f64 b a) (.f64 (+.f64 b a) (/.f64 2 (PI.f64)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 b (.f64 (-.f64 b a) (.f64 (+.f64 b a) (/.f64 2 (PI.f64)))))) (/.f64 (-.f64 b a) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b a)) 2) (-.f64 b a)) (/.f64 (cbrt.f64 (-.f64 b a)) (.f64 (+.f64 b a) (.f64 (/.f64 2 (PI.f64)) (.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 b a)) (-.f64 b a)) (/.f64 (sqrt.f64 (-.f64 b a)) (.f64 (+.f64 b a) (.f64 (/.f64 2 (PI.f64)) (.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b a)) 2) 1) (/.f64 (cbrt.f64 (-.f64 b a)) (.f64 b (.f64 a (.f64 (-.f64 b a) (.f64 (+.f64 b a) (/.f64 2 (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 b a)) 1) (/.f64 (sqrt.f64 (-.f64 b a)) (.f64 b (.f64 a (.f64 (-.f64 b a) (.f64 (+.f64 b a) (/.f64 2 (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 b a)) (.f64 (-.f64 b a) (.f64 (+.f64 b a) (/.f64 2 (PI.f64))))) (/.f64 (sqrt.f64 (-.f64 b a)) (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b a)) 2) (.f64 (-.f64 b a) (.f64 (+.f64 b a) (/.f64 2 (PI.f64))))) (/.f64 (cbrt.f64 (-.f64 b a)) (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 b a)) (.f64 b a)) (/.f64 (sqrt.f64 (-.f64 b a)) (.f64 (-.f64 b a) (.f64 (+.f64 b a) (/.f64 2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b a)) 2) (.f64 b a)) (/.f64 (cbrt.f64 (-.f64 b a)) (.f64 (-.f64 b a) (.f64 (+.f64 b a) (/.f64 2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b a)) 2) (pow.f64 (cbrt.f64 (.f64 b (.f64 a (.f64 (-.f64 b a) (.f64 (+.f64 b a) (/.f64 2 (PI.f64))))))) 2)) (cbrt.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 b a)) (pow.f64 (cbrt.f64 (.f64 b (.f64 a (.f64 (-.f64 b a) (.f64 (+.f64 b a) (/.f64 2 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (+.f64 b a)) (-.f64 b a)) (.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (+.f64 b a) (PI.f64)) (-.f64 b a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 b a) (neg.f64 (+.f64 b a))) (.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 b a) (/.f64 (+.f64 b a) (PI.f64))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (+.f64 b a) (/.f64 2 (PI.f64))) (-.f64 (pow.f64 b 3) (pow.f64 a 3))) (fma.f64 a (+.f64 b a) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (+.f64 b a) (/.f64 2 (PI.f64))) (-.f64 (.f64 b b) (.f64 a a))) (+.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 b a) (.f64 (+.f64 b a) (/.f64 2 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (-.f64 b a) (.f64 (+.f64 b a) (/.f64 2 (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> 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simplify145.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

570×	`unswap-sqr_binary64`
420×	`associate-/r/_binary64`
354×	`associate-/l/_binary64`
351×	`fma-def_binary64`
304×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	2418
1	375	2058
2	1363	1929
3	3629	1836
4	6396	1836

Stop Event

1×	node limit

Counts

291 → 244

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

eval583.0ms (5.3%)

Compiler: Compiled 22416 to 11043 computations (50.7% saved)

prune273.0ms (2.5%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	979	11	990
Fresh	14	2	16
Picked	1	0	1
Done	3	2	5
Total	997	15	1012

Error

Counts

1012 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	29.2b	(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1/2 a) b))
✓	32.4b	(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
	28.1b	(/.f64 (.f64 (PI.f64) 1/2) (.f64 b (*.f64 a a)))
▶	3.5b	(/.f64 1/2 (/.f64 (.f64 a (.f64 b (+.f64 a b))) (PI.f64)))
✓	28.1b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a a)))
	23.5b	(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) 1/2) a) a)
▶	32.2b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) a) (.f64 b b))
	23.5b	(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) a))
	22.9b	(/.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) a)) (-.f64 b a))
	29.2b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) b)
	29.3b	(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a b)))
	4.8b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a (+.f64 a b))) b)
▶	28.1b	(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b))
▶	23.6b	(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
▶	0.3b	(/.f64 (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (*.f64 2 (/.f64 (+.f64 b a) (PI.f64)))) (-.f64 b a))

Compiler

Compiled 340 to 244 computations (28.2% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 73 to 37 computations (49.3% saved)

series7.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite95.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

533×	`fma-def_binary64`
329×	`expm1-udef_binary64`
329×	`log1p-udef_binary64`
272×	`fma-neg_binary64`
191×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	60
1	370	60
2	5823	60

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

547×	`distribute-rgt-in_binary64`
523×	`distribute-lft-in_binary64`
298×	`fma-def_binary64`
274×	`distribute-rgt-out_binary64`
263×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	3082
1	858	2591
2	3735	1735

Stop Event

1×	node limit

Counts

191 → 184

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b))
✓	0.1b	(/.f64 (/.f64 (PI.f64) a) a)
	0.2b	(/.f64 (PI.f64) a)
✓	7.7b	(/.f64 (/.f64 (/.f64 (PI.f64) a) a) b)

Compiler

Compiled 30 to 9 computations (70% saved)

series4.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

577×	`log-prod_binary64`
442×	`exp-prod_binary64`
343×	`pow-prod-down_binary64`
268×	`pow2_binary64`
220×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	199	33
2	2892	33

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

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

Outputs

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

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

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

simplify179.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

917×	`associate-*r/_binary64`
835×	`associate-/r/_binary64`
671×	`*-commutative_binary64`
649×	`associate-*l/_binary64`
440×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	696
1	21	696
2	51	696
3	139	696
4	458	696
5	1859	696
6	3661	696
7	4075	696
8	4190	696
9	4337	696
10	4518	696
11	4771	696
12	6102	696
13	6750	696
14	7215	696
15	7804	696

Stop Event

1×	node limit

Counts

206 → 152

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
	0.2b	(/.f64 (PI.f64) a)
✓	0.9b	(/.f64 1/2 (*.f64 a b))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series9.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite89.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

545×	`log-prod_binary64`
404×	`exp-prod_binary64`
371×	`pow-prod-down_binary64`
268×	`pow2_binary64`
197×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	200	21
2	2814	21

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs

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

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

simplify153.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

915×	`associate-*r/_binary64`
827×	`associate-/r/_binary64`
663×	`*-commutative_binary64`
651×	`associate-*l/_binary64`
440×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	336
1	21	336
2	51	336
3	139	336
4	457	336
5	1872	336
6	3664	336
7	4078	336
8	4193	336
9	4340	336
10	4515	336
11	4766	336
12	6103	336
13	6747	336
14	7216	336
15	7799	336

Stop Event

1×	node limit

Counts

138 → 116

Calls

Call 1

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

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

localize26.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 1/2 (PI.f64)) a)
✓	7.1b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) a) (.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	@	inf	(/.f64 (*.f64 1/2 (PI.f64)) a)
1.0ms	a	@	-inf	(/.f64 (*.f64 1/2 (PI.f64)) a)
1.0ms	a	@	0	(/.f64 (*.f64 1/2 (PI.f64)) a)
1.0ms	a	@	0	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) a) (.f64 b b))
0.0ms	a	@	-inf	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) a) (.f64 b b))

rewrite99.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`log-prod_binary64`
430×	`exp-prod_binary64`
329×	`pow-prod-down_binary64`
260×	`pow2_binary64`
186×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	196	22
2	2830	22

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

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

Outputs

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

simplify194.0ms (1.8%)

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

151 → 118

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)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 a (.f64 b (+.f64 a b))) (PI.f64))
✓	0.9b	(/.f64 1/2 (/.f64 (.f64 a (.f64 b (+.f64 a b))) (PI.f64)))
✓	2.8b	(.f64 a (.f64 b (+.f64 a b)))

Compiler

Compiled 41 to 10 computations (75.6% saved)

series7.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite118.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

668×	`prod-diff_binary64`
650×	`log-prod_binary64`
304×	`pow2_binary64`
244×	`fma-def_binary64`
215×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	230	41
2	3445	41

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

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

Outputs

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

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

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

simplify142.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

982×	`fma-def_binary64`
668×	`unswap-sqr_binary64`
481×	`associate-*l/_binary64`
470×	`distribute-rgt-out_binary64`
402×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	1584
1	160	1584
2	466	1449
3	1718	1230
4	6179	1212

Stop Event

1×	node limit

Counts

191 → 147

Calls

Call 1

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

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

eval387.0ms (3.5%)

Compiler: Compiled 16082 to 8185 computations (49.1% saved)

prune135.0ms (1.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	855	5	860
Fresh	2	6	8
Picked	1	0	1
Done	4	2	6
Total	862	13	875

Error

Counts

875 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	29.2b	(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1/2 a) b))
	28.1b	(/.f64 (.f64 (PI.f64) 1/2) (.f64 b (*.f64 a a)))
✓	28.1b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a a)))
	23.5b	(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) 1/2) a) a)
✓	32.2b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) a) (.f64 b b))
	29.2b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) b)
	29.3b	(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a b)))
	4.8b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a (+.f64 a b))) b)
	23.5b	(/.f64 (/.f64 (*.f64 1/2 (/.f64 (PI.f64) a)) b) a)
	22.9b	(/.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) a)) (-.f64 b a))
	29.2b	(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
	23.6b	(/.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 a (PI.f64)))
	23.7b	(/.f64 1/2 (.f64 (/.f64 a (PI.f64)) (.f64 a b)))

Compiler

Compiled 147 to 106 computations (27.9% saved)

regimes110.0ms (1%)

Counts

53 → 1

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	a
32.0ms	b
18.0ms	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

Results

Error	Segments	Branch
0.3b	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 782 to 395 computations (49.5% saved)

regimes77.0ms (0.7%)

Counts

37 → 1

Calls

Call 1

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

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

Calls

2 calls:

48.0ms	b
19.0ms	a

Results

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

Compiler

Compiled 420 to 206 computations (51% saved)

regimes37.0ms (0.3%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	b
14.0ms	a

Results

Error	Segments	Branch
0.9b	1	`a`
0.9b	1	`b`

Compiler

Compiled 274 to 122 computations (55.5% saved)

regimes99.0ms (0.9%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

2 calls:

59.0ms	b
34.0ms	a

Results

Error	Segments	Branch
0.2b	3	`a`
0.4b	3	`b`

Compiler

Compiled 241 to 108 computations (55.2% saved)

bsearch62.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	4.8211285527296116e+85	1.3518654910681454e+87
32.0ms	-2.2134972907283006e+131	-1.4244922126964006e+122

Compiler

Compiled 28 to 21 computations (25% saved)

regimes197.0ms (1.8%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

2 calls:

145.0ms	b
46.0ms	a

Results

Error	Segments	Branch
0.8b	3	`a`
0.5b	3	`b`

Compiler

Compiled 230 to 103 computations (55.2% saved)

bsearch68.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	4.023039642702119e+25	6.121143275512911e+25
32.0ms	-2.7814011105811632e+53	-1.4603055337878586e+51

Compiler

Compiled 28 to 21 computations (25% saved)

regimes102.0ms (0.9%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

2 calls:

53.0ms	b
44.0ms	a

Results

Error	Segments	Branch
5.2b	3	`a`
3.8b	3	`b`

Compiler

Compiled 208 to 93 computations (55.3% saved)

bsearch50.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	3.3664376830880614e-17	2.1448319111415983e-15
22.0ms	-6.713826360108581e-39	-3.343266132609775e-40

Compiler

Compiled 54 to 40 computations (25.9% saved)

regimes80.0ms (0.7%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

2 calls:

41.0ms	a
33.0ms	b

Results

Error	Segments	Branch
5.2b	3	`a`
5.6b	3	`b`

Compiler

Compiled 197 to 88 computations (55.3% saved)

bsearch67.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	1.0845449820359813e-17	6.88220854187034e-15
38.0ms	-4.86301502830551e-25	-1.461886672143714e-30

Compiler

Compiled 28 to 21 computations (25% saved)

regimes90.0ms (0.8%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

2 calls:

60.0ms	a
25.0ms	b

Results

Error	Segments	Branch
5.2b	3	`a`
5.6b	3	`b`

Compiler

Compiled 143 to 68 computations (52.4% saved)

bsearch85.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	1.0845449820359813e-17	6.88220854187034e-15
57.0ms	-4.86301502830551e-25	-1.461886672143714e-30

Compiler

Compiled 28 to 21 computations (25% saved)

regimes40.0ms (0.4%)

Accuracy

Total -47.2b remaining (-906.2%)

Threshold costs -47.2b (-906.2%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	a
17.0ms	b

Results

Error	Segments	Branch
5.2b	3	`a`
5.6b	3	`b`

Compiler

Compiled 71 to 38 computations (46.5% saved)

bsearch62.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	1.0845449820359813e-17	6.88220854187034e-15
30.0ms	-4.86301502830551e-25	-1.461886672143714e-30

Compiler

Compiled 28 to 21 computations (25% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	416
1	92	416
2	95	416
3	97	416
4	98	416

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (+.f64 (/.f64 1 a) (/.f64 -1 b))) (-.f64 b a))
(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
(/.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (.f64 a b))) 2)
(if (<=.f64 a -221349729072830060268337591486286948670294661543540634725530709764589072466338858477977328623693057145783003957276256399323687813120) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) b) a) (if (<=.f64 a 48211285527296115826540876173338303199512650762392101530786607285179788056531885359104) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a (+.f64 a b))) b) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) b) a)))
(if (<=.f64 b -278140111058116324601537988913641403025098656045858816) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) b) (if (<=.f64 b 40230396427021187316449280) (/.f64 1/2 (/.f64 (.f64 a (.f64 b (+.f64 a b))) (PI.f64))) (/.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) a)) (-.f64 b a))))
(if (<=.f64 b -6129982163463555/6129982163463555433433388108601236734474956488734408704) (/.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (if (<=.f64 b 2731178719742407/81129638414606681695789005144064) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) b) a) (/.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) a)) (-.f64 b a))))
(if (<=.f64 a -5295354445452459/10889035741470030830827987437816582766592) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) b) a) (if (<=.f64 a 7039099378956421/649037107316853453566312041152512) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) b) (.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) a))))
(if (<=.f64 a -5295354445452459/10889035741470030830827987437816582766592) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) b) a) (if (<=.f64 a 7039099378956421/649037107316853453566312041152512) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) (.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) a))))
(if (<=.f64 a -5295354445452459/10889035741470030830827987437816582766592) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) b) a) (if (<=.f64 a 7039099378956421/649037107316853453566312041152512) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) b) a)))
(/.f64 (/.f64 (*.f64 1/2 (/.f64 (PI.f64) a)) b) a)

Outputs
(/.f64 (.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (+.f64 (/.f64 1 a) (/.f64 -1 b))) (-.f64 b a))
(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
(/.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (.f64 a b))) 2)
(/.f64 (/.f64 (PI.f64) (.f64 (+.f64 b a) (.f64 b a))) 2)
(if (<=.f64 a -221349729072830060268337591486286948670294661543540634725530709764589072466338858477977328623693057145783003957276256399323687813120) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) b) a) (if (<=.f64 a 48211285527296115826540876173338303199512650762392101530786607285179788056531885359104) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a (+.f64 a b))) b) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) b) a)))
(if (<=.f64 a -221349729072830060268337591486286948670294661543540634725530709764589072466338858477977328623693057145783003957276256399323687813120) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) b) a) (if (<=.f64 a 48211285527296115826540876173338303199512650762392101530786607285179788056531885359104) (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (.f64 a (+.f64 b a))) b) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) b) a)))
(if (<=.f64 b -278140111058116324601537988913641403025098656045858816) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) b) (if (<=.f64 b 40230396427021187316449280) (/.f64 1/2 (/.f64 (.f64 a (.f64 b (+.f64 a b))) (PI.f64))) (/.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) a)) (-.f64 b a))))
(if (<=.f64 b -278140111058116324601537988913641403025098656045858816) (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (.f64 b a)) b) (if (<=.f64 b 40230396427021187316449280) (/.f64 1/2 (/.f64 (.f64 a (.f64 b (+.f64 b a))) (PI.f64))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) (-.f64 b a))))
(if (<=.f64 b -6129982163463555/6129982163463555433433388108601236734474956488734408704) (/.f64 (.f64 (/.f64 1/2 b) (/.f64 (PI.f64) a)) (-.f64 b a)) (if (<=.f64 b 2731178719742407/81129638414606681695789005144064) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) b) a) (/.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) a)) (-.f64 b a))))
(if (<=.f64 b -6129982163463555/6129982163463555433433388108601236734474956488734408704) (/.f64 (.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) (-.f64 b a)) (if (<=.f64 b 2731178719742407/81129638414606681695789005144064) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) b) a) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) (-.f64 b a))))
(if (<=.f64 a -5295354445452459/10889035741470030830827987437816582766592) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) b) a) (if (<=.f64 a 7039099378956421/649037107316853453566312041152512) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) b) (.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) a))))
(if (<=.f64 a -5295354445452459/10889035741470030830827987437816582766592) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) b) a) (if (<=.f64 a 7039099378956421/649037107316853453566312041152512) (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (.f64 b a)) b) (.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) a))))
(if (<=.f64 a -5295354445452459/10889035741470030830827987437816582766592) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) b) a) (if (<=.f64 a 7039099378956421/649037107316853453566312041152512) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) (.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) a))))
(if (<=.f64 a -5295354445452459/10889035741470030830827987437816582766592) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) b) a) (if (<=.f64 a 7039099378956421/649037107316853453566312041152512) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) b) a)))
(/.f64 (/.f64 (*.f64 1/2 (/.f64 (PI.f64) a)) b) a)

Compiler

Compiled 290 to 183 computations (36.9% saved)

soundness234.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

929×	`fma-def_binary64`
920×	`associate-*r/_binary64`
833×	`associate-/r/_binary64`
668×	`unswap-sqr_binary64`
665×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	1584
1	149	1584
2	447	1422
3	1650	1380
4	5812	1344
0	10	600
1	21	600
2	51	600
3	139	600
4	456	600
5	1865	600
6	3666	600
7	4080	600
8	4195	600
9	4343	600
10	4518	600
11	4769	600
12	6108	600
13	6756	600
14	7219	600
15	7802	600

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 99 to 77 computations (22.2% saved)

end113.0ms (1%)

Compiler: Compiled 272 to 137 computations (49.6% saved)