Details

analyze216.0ms (2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
15.6%	15.6%	84.3%	0.1%	0%	0%	0%	6
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	7
46.9%	46.8%	53.1%	0.1%	0%	0%	0%	8
59.2%	57.8%	39.8%	0.1%	2.3%	0%	0%	9
68%	64.6%	30.4%	0.1%	4.9%	0%	0%	10
78%	71.8%	20.3%	0.1%	7.8%	0%	0%	11
82.1%	74.1%	16.2%	0.1%	9.6%	0%	0%	12

Compiler

Compiled 24 to 18 computations (25% saved)

sample2.1s (19.8%)

Results

1.8s	8256×	body	256	valid
185.0ms	704×	body	256	infinite

Bogosity

preprocess45.0ms (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

10.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.4b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
▶	10.4b	(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (fma.f64 b b (.f64 a (neg.f64 a)))))

Status

Error

Program

▶

15.4b

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

▶

10.4b

(/.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)

localize54.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))))
✓	0.9b	(/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))
✓	4.8b	(-.f64 (.f64 b b) (.f64 a a))
✓	9.7b	(.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)

series16.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite111.0ms (1%)

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))))))

simplify111.0ms (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 (fma.f64 -1 (/.f64 (pow.f64 b 6) (pow.f64 a 8)) (.f64 -1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (/.f64 (.f64 b b) (pow.f64 a 4))))) (/.f64 1 (*.f64 a a)))
(+.f64 (-.f64 (-.f64 (neg.f64 (/.f64 b (/.f64 (pow.f64 a 4) b))) (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (/.f64 (pow.f64 b 6) (pow.f64 a 8))) (/.f64 (/.f64 -1 a) a))
(-.f64 (-.f64 (-.f64 (/.f64 -1 (.f64 a a)) (/.f64 (.f64 b b) (pow.f64 a 4))) (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (/.f64 (pow.f64 b 6) (pow.f64 a 8)))
(-.f64 (-.f64 (/.f64 -1 (.f64 a a)) (/.f64 (.f64 b b) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (/.f64 (pow.f64 b 6) (pow.f64 a 8))))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(.f64 -1/2 (/.f64 (PI.f64) (.f64 a a)))
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a))
(/.f64 (.f64 (PI.f64) -1/2) (.f64 a a))
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(.f64 -1/2 (+.f64 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 4) (PI.f64))) (/.f64 (PI.f64) (*.f64 a a))))
(.f64 -1/2 (+.f64 (/.f64 (/.f64 (PI.f64) a) a) (.f64 (/.f64 b (/.f64 (pow.f64 a 4) b)) (PI.f64))))
(.f64 -1/2 (fma.f64 (/.f64 (.f64 b b) (pow.f64 a 4)) (PI.f64) (/.f64 (PI.f64) (*.f64 a a))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))))
(fma.f64 -1/2 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 4) (PI.f64))) (.f64 -1/2 (+.f64 (/.f64 (pow.f64 b 4) (/.f64 (pow.f64 a 6) (PI.f64))) (/.f64 (PI.f64) (*.f64 a a)))))
(.f64 -1/2 (+.f64 (.f64 (/.f64 b (/.f64 (pow.f64 a 4) b)) (PI.f64)) (+.f64 (/.f64 (/.f64 (PI.f64) a) a) (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (PI.f64)))))
(.f64 -1/2 (+.f64 (/.f64 (PI.f64) (.f64 a a)) (.f64 (PI.f64) (+.f64 (/.f64 (.f64 b b) (pow.f64 a 4)) (/.f64 (pow.f64 b 4) (pow.f64 a 6))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 6) (PI.f64)) (pow.f64 a 8))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))))
(fma.f64 -1/2 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 4) (PI.f64))) (fma.f64 -1/2 (/.f64 (.f64 (PI.f64) (pow.f64 b 6)) (pow.f64 a 8)) (.f64 -1/2 (+.f64 (/.f64 (pow.f64 b 4) (/.f64 (pow.f64 a 6) (PI.f64))) (/.f64 (PI.f64) (.f64 a a))))))
(fma.f64 -1/2 (.f64 (/.f64 b (/.f64 (pow.f64 a 4) b)) (PI.f64)) (.f64 -1/2 (+.f64 (+.f64 (/.f64 (/.f64 (PI.f64) a) a) (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (PI.f64))) (/.f64 (pow.f64 b 6) (/.f64 (pow.f64 a 8) (PI.f64))))))
(.f64 -1/2 (+.f64 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (PI.f64) (/.f64 (PI.f64) (.f64 a a))) (.f64 (PI.f64) (+.f64 (/.f64 (.f64 b b) (pow.f64 a 4)) (/.f64 (pow.f64 b 6) (pow.f64 a 8))))))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 b b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b b)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))
(.f64 1/2 (+.f64 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (PI.f64) (*.f64 b b))))
(.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 b b)) (*.f64 (/.f64 a (/.f64 (pow.f64 b 4) a)) (PI.f64))))
(.f64 1/2 (fma.f64 (.f64 (/.f64 a (pow.f64 b 4)) a) (PI.f64) (/.f64 (PI.f64) (*.f64 b b))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))
(fma.f64 1/2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 4) (PI.f64))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 a 4) (/.f64 (pow.f64 b 6) (PI.f64))) (/.f64 (PI.f64) (*.f64 b b)))))
(.f64 1/2 (+.f64 (.f64 (/.f64 a (/.f64 (pow.f64 b 4) a)) (PI.f64)) (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 6) (pow.f64 a 4))))))
(.f64 1/2 (fma.f64 (.f64 (/.f64 a (pow.f64 b 4)) a) (PI.f64) (fma.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (PI.f64) (/.f64 (PI.f64) (*.f64 b b)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 6) (PI.f64)) (pow.f64 b 8))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))))
(fma.f64 1/2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 4) (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 a 4) (/.f64 (pow.f64 b 6) (PI.f64))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 a 6) (/.f64 (pow.f64 b 8) (PI.f64))) (/.f64 (PI.f64) (*.f64 b b))))))
(fma.f64 1/2 (.f64 (/.f64 a (/.f64 (pow.f64 b 4) a)) (PI.f64)) (.f64 1/2 (+.f64 (+.f64 (/.f64 (PI.f64) (.f64 b b)) (.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 8)) (PI.f64))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 6) (pow.f64 a 4))))))
(.f64 1/2 (+.f64 (.f64 (PI.f64) (+.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (/.f64 (pow.f64 a 6) (pow.f64 b 8)))) (fma.f64 (.f64 (/.f64 a (pow.f64 b 4)) a) (PI.f64) (/.f64 (PI.f64) (.f64 b b)))))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 b b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b b)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))
(.f64 1/2 (+.f64 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (PI.f64) (*.f64 b b))))
(.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 b b)) (*.f64 (/.f64 a (/.f64 (pow.f64 b 4) a)) (PI.f64))))
(.f64 1/2 (fma.f64 (.f64 (/.f64 a (pow.f64 b 4)) a) (PI.f64) (/.f64 (PI.f64) (*.f64 b b))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))
(fma.f64 1/2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 4) (PI.f64))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 a 4) (/.f64 (pow.f64 b 6) (PI.f64))) (/.f64 (PI.f64) (*.f64 b b)))))
(.f64 1/2 (+.f64 (.f64 (/.f64 a (/.f64 (pow.f64 b 4) a)) (PI.f64)) (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 6) (pow.f64 a 4))))))
(.f64 1/2 (fma.f64 (.f64 (/.f64 a (pow.f64 b 4)) a) (PI.f64) (fma.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (PI.f64) (/.f64 (PI.f64) (*.f64 b b)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 6) (PI.f64)) (pow.f64 b 8))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))))
(fma.f64 1/2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 4) (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 a 4) (/.f64 (pow.f64 b 6) (PI.f64))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 a 6) (/.f64 (pow.f64 b 8) (PI.f64))) (/.f64 (PI.f64) (*.f64 b b))))))
(fma.f64 1/2 (.f64 (/.f64 a (/.f64 (pow.f64 b 4) a)) (PI.f64)) (.f64 1/2 (+.f64 (+.f64 (/.f64 (PI.f64) (.f64 b b)) (.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 8)) (PI.f64))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 6) (pow.f64 a 4))))))
(.f64 1/2 (+.f64 (.f64 (PI.f64) (+.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (/.f64 (pow.f64 a 6) (pow.f64 b 8)))) (fma.f64 (.f64 (/.f64 a (pow.f64 b 4)) a) (PI.f64) (/.f64 (PI.f64) (.f64 b b)))))
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 b b))
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b b)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))
(.f64 1/2 (+.f64 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (PI.f64) (*.f64 b b))))
(.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 b b)) (*.f64 (/.f64 a (/.f64 (pow.f64 b 4) a)) (PI.f64))))
(.f64 1/2 (fma.f64 (.f64 (/.f64 a (pow.f64 b 4)) a) (PI.f64) (/.f64 (PI.f64) (*.f64 b b))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))
(fma.f64 1/2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 4) (PI.f64))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 a 4) (/.f64 (pow.f64 b 6) (PI.f64))) (/.f64 (PI.f64) (*.f64 b b)))))
(.f64 1/2 (+.f64 (.f64 (/.f64 a (/.f64 (pow.f64 b 4) a)) (PI.f64)) (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 6) (pow.f64 a 4))))))
(.f64 1/2 (fma.f64 (.f64 (/.f64 a (pow.f64 b 4)) a) (PI.f64) (fma.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (PI.f64) (/.f64 (PI.f64) (*.f64 b b)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 6) (PI.f64)) (pow.f64 b 8))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))))
(fma.f64 1/2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 4) (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 a 4) (/.f64 (pow.f64 b 6) (PI.f64))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 a 6) (/.f64 (pow.f64 b 8) (PI.f64))) (/.f64 (PI.f64) (*.f64 b b))))))
(fma.f64 1/2 (.f64 (/.f64 a (/.f64 (pow.f64 b 4) a)) (PI.f64)) (.f64 1/2 (+.f64 (+.f64 (/.f64 (PI.f64) (.f64 b b)) (.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 8)) (PI.f64))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 6) (pow.f64 a 4))))))
(.f64 1/2 (+.f64 (.f64 (PI.f64) (+.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (/.f64 (pow.f64 a 6) (pow.f64 b 8)))) (fma.f64 (.f64 (/.f64 a (pow.f64 b 4)) a) (PI.f64) (/.f64 (PI.f64) (.f64 b b)))))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(.f64 -1/2 (/.f64 (PI.f64) (.f64 a a)))
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a))
(/.f64 (.f64 (PI.f64) -1/2) (.f64 a a))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))
(.f64 -1/2 (+.f64 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 4) (PI.f64))) (/.f64 (PI.f64) (*.f64 a a))))
(.f64 -1/2 (+.f64 (/.f64 (/.f64 (PI.f64) a) a) (.f64 (/.f64 b (/.f64 (pow.f64 a 4) b)) (PI.f64))))
(.f64 -1/2 (fma.f64 (/.f64 (.f64 b b) (pow.f64 a 4)) (PI.f64) (/.f64 (PI.f64) (*.f64 a a))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))))
(fma.f64 -1/2 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 4) (PI.f64))) (.f64 -1/2 (+.f64 (/.f64 (pow.f64 b 4) (/.f64 (pow.f64 a 6) (PI.f64))) (/.f64 (PI.f64) (*.f64 a a)))))
(.f64 -1/2 (+.f64 (.f64 (/.f64 b (/.f64 (pow.f64 a 4) b)) (PI.f64)) (+.f64 (/.f64 (/.f64 (PI.f64) a) a) (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (PI.f64)))))
(.f64 -1/2 (+.f64 (/.f64 (PI.f64) (.f64 a a)) (.f64 (PI.f64) (+.f64 (/.f64 (.f64 b b) (pow.f64 a 4)) (/.f64 (pow.f64 b 4) (pow.f64 a 6))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 6) (PI.f64)) (pow.f64 a 8))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))))
(fma.f64 -1/2 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 4) (PI.f64))) (fma.f64 -1/2 (/.f64 (.f64 (PI.f64) (pow.f64 b 6)) (pow.f64 a 8)) (.f64 -1/2 (+.f64 (/.f64 (pow.f64 b 4) (/.f64 (pow.f64 a 6) (PI.f64))) (/.f64 (PI.f64) (.f64 a a))))))
(fma.f64 -1/2 (.f64 (/.f64 b (/.f64 (pow.f64 a 4) b)) (PI.f64)) (.f64 -1/2 (+.f64 (+.f64 (/.f64 (/.f64 (PI.f64) a) a) (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (PI.f64))) (/.f64 (pow.f64 b 6) (/.f64 (pow.f64 a 8) (PI.f64))))))
(.f64 -1/2 (+.f64 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (PI.f64) (/.f64 (PI.f64) (.f64 a a))) (.f64 (PI.f64) (+.f64 (/.f64 (.f64 b b) (pow.f64 a 4)) (/.f64 (pow.f64 b 6) (pow.f64 a 8))))))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))
(.f64 -1/2 (/.f64 (PI.f64) (.f64 a a)))
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a))
(/.f64 (.f64 (PI.f64) -1/2) (.f64 a a))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))
(.f64 -1/2 (+.f64 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 4) (PI.f64))) (/.f64 (PI.f64) (*.f64 a a))))
(.f64 -1/2 (+.f64 (/.f64 (/.f64 (PI.f64) a) a) (.f64 (/.f64 b (/.f64 (pow.f64 a 4) b)) (PI.f64))))
(.f64 -1/2 (fma.f64 (/.f64 (.f64 b b) (pow.f64 a 4)) (PI.f64) (/.f64 (PI.f64) (*.f64 a a))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))))
(fma.f64 -1/2 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 4) (PI.f64))) (.f64 -1/2 (+.f64 (/.f64 (pow.f64 b 4) (/.f64 (pow.f64 a 6) (PI.f64))) (/.f64 (PI.f64) (*.f64 a a)))))
(.f64 -1/2 (+.f64 (.f64 (/.f64 b (/.f64 (pow.f64 a 4) b)) (PI.f64)) (+.f64 (/.f64 (/.f64 (PI.f64) a) a) (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (PI.f64)))))
(.f64 -1/2 (+.f64 (/.f64 (PI.f64) (.f64 a a)) (.f64 (PI.f64) (+.f64 (/.f64 (.f64 b b) (pow.f64 a 4)) (/.f64 (pow.f64 b 4) (pow.f64 a 6))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 6) (PI.f64)) (pow.f64 a 8))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))))
(fma.f64 -1/2 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 4) (PI.f64))) (fma.f64 -1/2 (/.f64 (.f64 (PI.f64) (pow.f64 b 6)) (pow.f64 a 8)) (.f64 -1/2 (+.f64 (/.f64 (pow.f64 b 4) (/.f64 (pow.f64 a 6) (PI.f64))) (/.f64 (PI.f64) (.f64 a a))))))
(fma.f64 -1/2 (.f64 (/.f64 b (/.f64 (pow.f64 a 4) b)) (PI.f64)) (.f64 -1/2 (+.f64 (+.f64 (/.f64 (/.f64 (PI.f64) a) a) (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (PI.f64))) (/.f64 (pow.f64 b 6) (/.f64 (pow.f64 a 8) (PI.f64))))))
(.f64 -1/2 (+.f64 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (PI.f64) (/.f64 (PI.f64) (.f64 a a))) (.f64 (PI.f64) (+.f64 (/.f64 (.f64 b b) (pow.f64 a 4)) (/.f64 (pow.f64 b 6) (pow.f64 a 8))))))

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))
✓	0.3b	(/.f64 (PI.f64) a)
✓	2.2b	(fma.f64 b b (*.f64 a (neg.f64 a)))
✓	10.3b	(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (fma.f64 b b (.f64 a (neg.f64 a)))))

Compiler

Compiled 61 to 22 computations (63.9% saved)

series10.0ms (0.1%)

Counts

4 → 72

Calls

21 calls:

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

rewrite176.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 307

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.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 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.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 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.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 (exp.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))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((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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(.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 2) (pow.f64 (hypot.f64 b a) 2)) (/.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (.f64 2 (pow.f64 (hypot.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 1) (/.f64 (sqrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (.f64 2 (pow.f64 (hypot.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 2 (pow.f64 (hypot.f64 b a) 2))) 2)) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (cbrt.f64 (.f64 2 (pow.f64 (hypot.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 2) (pow.f64 (cbrt.f64 (.f64 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 .f64 (/.f64 (sqrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (pow.f64 (cbrt.f64 (.f64 2 (pow.f64 (hypot.f64 b a) 2))) 2)) (/.f64 (sqrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (cbrt.f64 (.f64 2 (pow.f64 (hypot.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 2) (.f64 (hypot.f64 b a) (sqrt.f64 2))) (/.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) 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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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simplify82.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

379 → 334

Calls

Call 1

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

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

eval358.0ms (3.4%)

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

prune127.0ms (1.2%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	650	19	669
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	652	19	671

Error

3.2b

Counts

671 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.4b	(/.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 (PI.f64) 1/2)) (-.f64 (.f64 b b) (.f64 a a)))
	33.9b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 -1 a) a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	15.6b	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 b a) (.f64 (*.f64 2 (+.f64 b a)) (-.f64 b a))))
▶	9.7b	(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	10.4b	(*.f64 (/.f64 (PI.f64) (/.f64 2 (/.f64 (/.f64 1 (+.f64 b a)) (-.f64 b a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	37.7b	(pow.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2)) (hypot.f64 b a)) 2)
▶	27.9b	(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
	31.6b	(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 a a)))
	45.8b	(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 (fma.f64 (.f64 b (sqrt.f64 b)) (sqrt.f64 b) (neg.f64 (.f64 (.f64 a a) -1))) (fma.f64 (.f64 a a) -1 (.f64 (*.f64 a a) -1)))))
	10.2b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (fma.f64 (-.f64 b a) (+.f64 b a) (fma.f64 a (neg.f64 a) (*.f64 a a))))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	29.8b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 1 b) b)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
▶	15.8b	(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)
	15.4b	(/.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) (-.f64 b a)) (.f64 2 (*.f64 b a)))
	14.9b	(.f64 (/.f64 1 (.f64 (hypot.f64 b a) (sqrt.f64 2))) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 (hypot.f64 b a) (sqrt.f64 2))))
	30.2b	(.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))
	20.9b	(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a b)))
▶	33.9b	(.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
	31.7b	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
	15.0b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 2) (.f64 (hypot.f64 b a) (sqrt.f64 2))) (/.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (*.f64 (hypot.f64 b a) (sqrt.f64 2))))

Compiler

Compiled 784 to 544 computations (30.6% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 a) (/.f64 1 b))
✓	0.1b	(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a))
✓	0.3b	(/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a))
✓	9.7b	(.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)

series25.0ms (0.2%)

Counts

4 → 78

Calls

24 calls:

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

rewrite105.0ms (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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simplify116.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

331 → 331

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
✓	0.9b	(/.f64 1/2 (.f64 a (.f64 b b)))
✓	10.4b	(.f64 a (.f64 b b))

Compiler

Compiled 30 to 11 computations (63.3% saved)

series44.0ms (0.4%)

Counts

3 → 72

Calls

18 calls:

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

rewrite75.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

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

Outputs

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

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

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

simplify142.0ms (1.3%)

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)))

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))
✓	0.6b	(/.f64 (PI.f64) (*.f64 a a))
✓	3.4b	(.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))

Compiler

Compiled 41 to 22 computations (46.3% saved)

series8.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite96.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 214

Calls

Call 1

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

Outputs

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

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

274 → 225

Calls

Call 1

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

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

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 a) (/.f64 -1 b))
✓	0.4b	(.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 (PI.f64) 1/2))
	4.8b	(-.f64 (.f64 b b) (.f64 a a))
✓	10.1b	(/.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 (PI.f64) 1/2)) (-.f64 (.f64 b b) (.f64 a a)))

Compiler

Compiled 67 to 37 computations (44.8% saved)

series10.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite92.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`fma-def_binary64`
314×	`fma-neg_binary64`
308×	`expm1-udef_binary64`
308×	`log1p-udef_binary64`
258×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	56
1	361	56
2	5414	56

Stop Event

1×	node limit

Counts

3 → 149

Calls

Call 1

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

Outputs

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((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 (cbrt.f64 (*.f64 a a)) -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))))))

simplify97.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

941×	`fma-def_binary64`
668×	`unswap-sqr_binary64`
449×	`associate-*l/_binary64`
397×	`associate-l_binary64`
384×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	60	1332
1	168	1332
2	470	1251
3	1682	1194
4	5870	1176

Stop Event

1×	node limit

Counts

221 → 175

Calls

Call 1

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

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

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(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)
	4.8b	(-.f64 (.f64 b b) (.f64 a a))
✓	10.1b	(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (.f64 a a)))
✓	24.8b	(cbrt.f64 (.f64 (.f64 (PI.f64) 1/2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (.f64 a a)))))

Compiler

Compiled 114 to 58 computations (49.1% saved)

series76.0ms (0.7%)

Counts

3 → 24

Calls

18 calls:

Time	Variable		Point	Expression
32.0ms	a	@	inf	(cbrt.f64 (.f64 (.f64 (PI.f64) 1/2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (.f64 a a)))))
12.0ms	a	@	0	(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)
6.0ms	b	@	0	(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)
5.0ms	b	@	inf	(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)
4.0ms	a	@	inf	(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)

rewrite93.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	82
1	428	49
2	5780	49

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

Inputs

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

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

(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)

Outputs

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

simplify96.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

681×	`fma-neg_binary64`
539×	`associate-/r/_binary64`
338×	`distribute-neg-frac_binary64`
328×	`associate-/r*_binary64`
322×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	591
1	106	582
2	256	582
3	849	570
4	3944	570
5	7290	570

Stop Event

1×	node limit

Counts

148 → 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)))

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

eval1.2s (11.3%)

Compiler: Compiled 32800 to 17809 computations (45.7% saved)

prune215.0ms (2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	1248	10	1258
Fresh	12	2	14
Picked	1	0	1
Done	3	1	4
Total	1264	13	1277

Error

Counts

1277 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	30.7b	(/.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a)
▶	0.2b	(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
✓	27.9b	(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
▶	31.6b	(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 a a)))
▶	21.0b	(.f64 (PI.f64) (.f64 (/.f64 (/.f64 (/.f64 1/2 a) b) b) 1))
	20.9b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))
	27.7b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 b b)) a)
▶	20.9b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) b)
	0.3b	(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (/.f64 (-.f64 b a) (+.f64 (/.f64 1 a) (/.f64 -1 b))))
	31.7b	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
	42.1b	(/.f64 (-.f64 (/.f64 1/4 (.f64 b b)) (/.f64 1/4 (.f64 a a))) (*.f64 (/.f64 a (/.f64 (PI.f64) a)) (-.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))
▶	31.6b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a a)))
	1.0b	(.f64 (/.f64 1/2 (.f64 (+.f64 a b) (*.f64 a b))) (PI.f64))

Compiler

Compiled 347 to 250 computations (28% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 33 to 15 computations (54.5% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite67.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

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

Outputs

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

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

82 → 74

Calls

Call 1

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

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

localize12.0ms (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)
✓	8.3b	(/.f64 (/.f64 (PI.f64) b) (*.f64 a a))

Compiler

Compiled 28 to 9 computations (67.9% saved)

series8.0ms (0.1%)

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	b	@	inf	(/.f64 (/.f64 (PI.f64) b) (*.f64 a a))
1.0ms	b	@	-inf	(.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a a)))

rewrite78.0ms (0.7%)

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 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simplify150.0ms (1.4%)

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)))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (PI.f64) b)
✓	0.5b	(/.f64 1/2 (*.f64 a a))
✓	8.2b	(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 a a)))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite70.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	200	21
2	2774	21

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

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

Outputs

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

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

simplify131.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

833×	`associate-/l/_binary64`
634×	`*-commutative_binary64`
579×	`sqr-pow_binary64`
564×	`associate-*l/_binary64`
449×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	420
1	22	420
2	53	420
3	144	420
4	483	420
5	2001	420
6	2772	420
7	3186	420
8	3301	420
9	3448	420
10	3623	420
11	5447	420
12	5991	420
13	6363	420
14	6821	420
15	7402	420

Stop Event

1×	node limit

Counts

154 → 122

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) b)
✓	0.6b	(/.f64 (.f64 1/2 (PI.f64)) (.f64 a b))

Compiler

Compiled 28 to 14 computations (50% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(/.f64 (.f64 1/2 (PI.f64)) (.f64 a b))
1.0ms	b	@	0	(/.f64 (.f64 1/2 (PI.f64)) (.f64 a b))
1.0ms	a	@	inf	(/.f64 (.f64 1/2 (PI.f64)) (.f64 a b))
1.0ms	b	@	inf	(/.f64 (.f64 1/2 (PI.f64)) (.f64 a b))
0.0ms	b	@	-inf	(/.f64 (.f64 1/2 (PI.f64)) (.f64 a b))

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

650×	`log-prod_binary64`
343×	`pow-prod-down_binary64`
273×	`pow2_binary64`
212×	`pow-unpow_binary64`
210×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	199	25
2	3033	25

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

Outputs

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

simplify156.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1072×	`associate-/l/_binary64`
670×	`*-commutative_binary64`
529×	`associate-/r/_binary64`
522×	`associate-*l/_binary64`
440×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	600
1	28	600
2	68	600
3	166	600
4	547	600
5	2245	600
6	3092	600
7	3506	600
8	3620	600
9	3767	600
10	3945	600
11	5937	600
12	6480	600
13	6852	600
14	7308	600
15	7899	600

Stop Event

1×	node limit

Counts

170 → 125

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 42 to 27 computations (35.7% saved)

series7.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite75.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

563×	`log-prod_binary64`
425×	`exp-prod_binary64`
348×	`pow-prod-down_binary64`
271×	`pow2_binary64`
201×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	237	31
2	2915	31

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

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

Outputs

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

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

simplify161.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1033×	`associate-*r/_binary64`
910×	`associate-/r/_binary64`
763×	`*-commutative_binary64`
579×	`sqr-pow_binary64`
337×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	744
1	28	744
2	59	744
3	144	744
4	462	744
5	1888	744
6	3404	744
7	3818	744
8	3933	744
9	4083	744
10	4258	744
11	4509	744
12	5734	744
13	6391	744
14	6857	744
15	7450	744

Stop Event

1×	node limit

Counts

218 → 152

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

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

eval198.0ms (1.9%)

Compiler: Compiled 10963 to 5892 computations (46.3% saved)

prune112.0ms (1.1%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	733	7	740
Fresh	4	3	7
Picked	0	1	1
Done	0	5	5
Total	737	16	753

Error

Counts

753 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.9b	(/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 b a))
▶	0.3b	(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (/.f64 (-.f64 b a) (+.f64 (/.f64 1 a) (/.f64 -1 b))))
▶	28.4b	(/.f64 (/.f64 1/2 a) (*.f64 (/.f64 b (PI.f64)) a))
✓	0.2b	(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
✓	27.9b	(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
✓	31.6b	(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 a a)))
	28.4b	(/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 b a))
	1.0b	(.f64 (/.f64 1/2 (.f64 (+.f64 a b) (*.f64 a b))) (PI.f64))
	28.4b	(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b a))
	20.9b	(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 a)) b)
▶	28.4b	(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) 1/2) a) a)
✓	21.0b	(.f64 (PI.f64) (.f64 (/.f64 (/.f64 (/.f64 1/2 a) b) b) 1))
✓	20.9b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) b)
	42.1b	(/.f64 (-.f64 (/.f64 1/4 (.f64 b b)) (/.f64 1/4 (.f64 a a))) (*.f64 (/.f64 a (/.f64 (PI.f64) a)) (-.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))
✓	31.6b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a a)))
▶	20.9b	(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 a b)))

Compiler

Compiled 346 to 249 computations (28% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 67 to 38 computations (43.3% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite183.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`fma-def_binary64`
333×	`expm1-udef_binary64`
333×	`log1p-udef_binary64`
300×	`fma-neg_binary64`
193×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	45
1	373	45
2	6060	45

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 a) (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 -1 b) (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 (-.f64 b a) (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 b) (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 1 a) (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 (-.f64 b a) (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 1 a)) (*.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 -1 b)) (*.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (+.f64 b a) 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simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

881×	`times-frac_binary64`
576×	`associate-/l*_binary64`
502×	`distribute-rgt-in_binary64`
475×	`distribute-lft-in_binary64`
230×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	2013
1	579	1686
2	2886	918

Stop Event

1×	node limit

Counts

162 → 148

Calls

Call 1

Inputs
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.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))))))

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 26 to 11 computations (57.7% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

12 calls:

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

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

545×	`log-prod_binary64`
404×	`exp-prod_binary64`
365×	`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	2807	21

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

simplify140.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

138 → 116

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 11 computations (57.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

635×	`log-prod_binary64`
497×	`exp-prod_binary64`
319×	`pow-prod-down_binary64`
272×	`pow2_binary64`
218×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	199	14
2	2974	14

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

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

Outputs

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

simplify144.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

92 → 70

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 26 to 11 computations (57.7% saved)

series7.0ms (0.1%)

Counts

3 → 48

Calls

15 calls:

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

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

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

Outputs

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

simplify144.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1184×	`associate-/r/_binary64`
1062×	`associate-*r/_binary64`
733×	`*-commutative_binary64`
440×	`sqr-pow_binary64`
319×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	528
1	26	528
2	56	528
3	139	528
4	469	528
5	1882	528
6	3397	528
7	3811	528
8	3925	528
9	4076	528
10	4254	528
11	4505	528
12	5765	528
13	6540	528
14	7182	528
15	7899	528

Stop Event

1×	node limit

Counts

192 → 148

Calls

Call 1

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 30 to 14 computations (53.3% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	199	25
2	2883	25

Stop Event

1×	node limit

Counts

2 → 113

Calls

Call 1

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

Outputs

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#<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a 2) b))) 1) 1))))))

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

simplify177.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1078×	`associate-/l/_binary64`
686×	`*-commutative_binary64`
532×	`associate-*l/_binary64`
530×	`associate-/r/_binary64`
440×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	600
1	29	600
2	70	600
3	161	600
4	565	600
5	2279	600
6	3124	600
7	3538	600
8	3653	600
9	3805	600
10	3983	600
11	5991	600
12	6536	600
13	6906	600
14	7363	600
15	7944	600

Stop Event

1×	node limit

Counts

161 → 117

Calls

Call 1

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

eval290.0ms (2.7%)

Compiler: Compiled 16647 to 8191 computations (50.8% saved)

prune188.0ms (1.8%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	872	6	878
Fresh	4	1	5
Picked	0	1	1
Done	5	5	10
Total	881	13	894

Error

Counts

894 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.9b	(/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 b a))
	28.4b	(/.f64 (/.f64 1/2 a) (/.f64 a (/.f64 (PI.f64) b)))
✓	28.4b	(/.f64 (/.f64 1/2 a) (*.f64 (/.f64 b (PI.f64)) a))
✓	0.2b	(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
	21.3b	(/.f64 1/2 (.f64 (/.f64 b (PI.f64)) (.f64 a b)))
	28.4b	(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 1/2 a))
✓	28.4b	(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) 1/2) a) a)
✓	21.0b	(.f64 (PI.f64) (.f64 (/.f64 (/.f64 (/.f64 1/2 a) b) b) 1))
	20.9b	(/.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 b (PI.f64)))
✓	27.9b	(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
	20.9b	(/.f64 (/.f64 (*.f64 1/2 (/.f64 (PI.f64) b)) a) b)
	14.5b	(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (/.f64 (-.f64 b a) (/.f64 1 a)))
	28.4b	(/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 b a))

Compiler

Compiled 153 to 111 computations (27.5% saved)

regimes81.0ms (0.8%)

Counts

44 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 1/2 a) (/.f64 a (/.f64 (PI.f64) b)))
(/.f64 1/2 (.f64 (/.f64 b (PI.f64)) (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 1/2 a))
(/.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 b (PI.f64)))
(/.f64 (/.f64 (*.f64 1/2 (/.f64 (PI.f64) b)) a) b)
(/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) (.f64 b a))
(/.f64 (/.f64 1/2 a) (*.f64 (/.f64 b (PI.f64)) a))
(/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 b a))
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b a))
(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 a)) b)
(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) 1/2) a) a)
(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 a b)))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))
(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 b b)) a)
(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) b)
(.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a a)))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 a a)))
(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
(.f64 (PI.f64) (.f64 (/.f64 (/.f64 (/.f64 1/2 a) b) b) 1))
(.f64 (/.f64 1/2 (.f64 (+.f64 a b) (*.f64 a b))) (PI.f64))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a)
(.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))
(.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (/.f64 (-.f64 b a) (/.f64 1 a)))
(.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 (/.f64 1 b) b)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (/.f64 (-.f64 b a) (+.f64 (/.f64 1 a) (/.f64 -1 b))))
(/.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 (PI.f64) 1/2)) (-.f64 (.f64 b b) (.f64 a a)))
(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 b a) (.f64 (*.f64 2 (+.f64 b a)) (-.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 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) (-.f64 b a)) (.f64 2 (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (/.f64 2 (/.f64 (/.f64 1 (+.f64 b a)) (-.f64 b a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(/.f64 (-.f64 (/.f64 1/4 (.f64 b b)) (/.f64 1/4 (.f64 a a))) (*.f64 (/.f64 a (/.f64 (PI.f64) a)) (-.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))
(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)
(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (fma.f64 (-.f64 b a) (+.f64 b a) (fma.f64 a (neg.f64 a) (*.f64 a a))))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (fma.f64 b b (.f64 a (neg.f64 a)))))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2)) (hypot.f64 b a)) 2)
(.f64 (/.f64 1 (.f64 (hypot.f64 b a) (sqrt.f64 2))) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 (hypot.f64 b a) (sqrt.f64 2))))
(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (+.f64 (fma.f64 (.f64 b (sqrt.f64 b)) (sqrt.f64 b) (neg.f64 (.f64 (.f64 a a) -1))) (fma.f64 (.f64 a a) -1 (.f64 (*.f64 a a) -1)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 2) (.f64 (hypot.f64 b a) (sqrt.f64 2))) (/.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (*.f64 (hypot.f64 b a) (sqrt.f64 2))))

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

Calls

3 calls:

22.0ms	a
22.0ms	b
21.0ms	(.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
0.2b	1	`a`
0.2b	1	`b`
0.2b	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 673 to 341 computations (49.3% saved)

regimes132.0ms (1.2%)

Counts

20 → 5

Calls

Call 1

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

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

Calls

2 calls:

68.0ms	b
58.0ms	a

Results

Error	Segments	Branch
5.3b	3	`a`
3.7b	5	`b`

Compiler

Compiled 188 to 85 computations (54.8% saved)

bsearch116.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
30.0ms	1.663935636377516e+45	4.482854591498731e+50
31.0ms	0.0013441925118348513	8835744526.721539
15.0ms	1.4317715760895974e-58	3.8046152539649296e-56
38.0ms	-3723179430.46907	-61978863.0232875

Compiler

Compiled 52 to 39 computations (25% saved)

regimes64.0ms (0.6%)

Counts

14 → 5

Calls

Call 1

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

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

Calls

2 calls:

38.0ms	b
23.0ms	a

Results

Error	Segments	Branch
5.3b	3	`a`
3.7b	5	`b`

Compiler

Compiled 134 to 63 computations (53% saved)

bsearch149.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
64.0ms	1.663935636377516e+45	4.482854591498731e+50
39.0ms	0.0013441925118348513	8835744526.721539
15.0ms	1.4317715760895974e-58	3.8046152539649296e-56
30.0ms	-3723179430.46907	-61978863.0232875

Compiler

Compiled 52 to 39 computations (25% saved)

regimes74.0ms (0.7%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

2 calls:

44.0ms	b
27.0ms	a

Results

Error	Segments	Branch
5.3b	3	`a`
3.7b	5	`b`

Compiler

Compiled 44 to 24 computations (45.5% saved)

bsearch207.0ms (2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
52.0ms	4.27553806686154e+43	1.321085023081085e+44
78.0ms	0.0013441925118348513	8835744526.721539
27.0ms	1.4317715760895974e-58	3.8046152539649296e-56
50.0ms	-3723179430.46907	-61978863.0232875

Compiler

Compiled 52 to 39 computations (25% saved)

regimes65.0ms (0.6%)

Accuracy

Total -44.5b remaining (-1065.4%)

Threshold costs -44.5b (-1065.4%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

2 calls:

41.0ms	b
21.0ms	a

Results

Error	Segments	Branch
5.6b	3	`a`
4.2b	5	`b`

Compiler

Compiled 35 to 21 computations (40% saved)

bsearch200.0ms (1.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
54.0ms	1.663935636377516e+45	4.482854591498731e+50
70.0ms	0.0013441925118348513	8835744526.721539
25.0ms	1.4317715760895974e-58	3.8046152539649296e-56
51.0ms	-3723179430.46907	-61978863.0232875

Compiler

Compiled 52 to 39 computations (25% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	407
1	57	407

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
(if (<=.f64 b -7808073188967071/2097152) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) a) b) (if (<=.f64 b 7067388259113537/7067388259113537318333190002971674063309935587502475832486424805170479104) (/.f64 (/.f64 1/2 a) (/.f64 a (/.f64 (PI.f64) b))) (if (<=.f64 b 6198993812903575/4611686018427387904) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) b) (if (<=.f64 b 1663935636377515857393505546649854902618030080) (/.f64 (/.f64 1/2 a) (/.f64 a (/.f64 (PI.f64) b))) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) a) b)))))
(if (<=.f64 b -7808073188967071/2097152) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) a) b) (if (<=.f64 b 7067388259113537/7067388259113537318333190002971674063309935587502475832486424805170479104) (/.f64 (/.f64 1/2 a) (/.f64 a (/.f64 (PI.f64) b))) (if (<=.f64 b 6198993812903575/4611686018427387904) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) a) b) (if (<=.f64 b 1663935636377515857393505546649854902618030080) (/.f64 (/.f64 1/2 a) (/.f64 a (/.f64 (PI.f64) b))) (/.f64 (/.f64 (*.f64 1/2 (/.f64 (PI.f64) b)) a) b)))))
(if (<=.f64 b -7808073188967071/2097152) (/.f64 (/.f64 1/2 (.f64 a b)) (/.f64 b (PI.f64))) (if (<=.f64 b 7067388259113537/7067388259113537318333190002971674063309935587502475832486424805170479104) (/.f64 (/.f64 1/2 a) (/.f64 a (/.f64 (PI.f64) b))) (if (<=.f64 b 6198993812903575/4611686018427387904) (/.f64 (/.f64 1/2 (.f64 a b)) (/.f64 b (PI.f64))) (if (<=.f64 b 42755380668615401416823402778795217042538496) (/.f64 (/.f64 1/2 a) (/.f64 a (/.f64 (PI.f64) b))) (/.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 b (PI.f64)))))))
(if (<=.f64 b -7808073188967071/2097152) (/.f64 1/2 (.f64 (/.f64 b (PI.f64)) (.f64 a b))) (if (<=.f64 b 7067388259113537/7067388259113537318333190002971674063309935587502475832486424805170479104) (/.f64 (/.f64 1/2 a) (/.f64 a (/.f64 (PI.f64) b))) (if (<=.f64 b 6198993812903575/4611686018427387904) (/.f64 1/2 (.f64 (/.f64 b (PI.f64)) (.f64 a b))) (if (<=.f64 b 1663935636377515857393505546649854902618030080) (/.f64 (/.f64 1/2 a) (/.f64 a (/.f64 (PI.f64) b))) (/.f64 1/2 (.f64 (/.f64 b (PI.f64)) (.f64 a b)))))))
(/.f64 (/.f64 1/2 a) (/.f64 a (/.f64 (PI.f64) b)))

Outputs
(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
(if (<=.f64 b -7808073188967071/2097152) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) a) b) (if (<=.f64 b 7067388259113537/7067388259113537318333190002971674063309935587502475832486424805170479104) (/.f64 (/.f64 1/2 a) (/.f64 a (/.f64 (PI.f64) b))) (if (<=.f64 b 6198993812903575/4611686018427387904) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) b) (if (<=.f64 b 1663935636377515857393505546649854902618030080) (/.f64 (/.f64 1/2 a) (/.f64 a (/.f64 (PI.f64) b))) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) a) b)))))
(if (<=.f64 b -7808073188967071/2097152) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) a) b) (if (<=.f64 b 7067388259113537/7067388259113537318333190002971674063309935587502475832486424805170479104) (/.f64 (/.f64 1/2 a) (/.f64 a (/.f64 (PI.f64) b))) (if (<=.f64 b 6198993812903575/4611686018427387904) (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (.f64 b a)) b) (if (<=.f64 b 1663935636377515857393505546649854902618030080) (/.f64 (/.f64 1/2 a) (/.f64 a (/.f64 (PI.f64) b))) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) a) b)))))
(if (<=.f64 b -7808073188967071/2097152) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) a) b) (if (<=.f64 b 7067388259113537/7067388259113537318333190002971674063309935587502475832486424805170479104) (/.f64 (/.f64 1/2 a) (/.f64 a (/.f64 (PI.f64) b))) (if (<=.f64 b 6198993812903575/4611686018427387904) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) a) b) (if (<=.f64 b 1663935636377515857393505546649854902618030080) (/.f64 (/.f64 1/2 a) (/.f64 a (/.f64 (PI.f64) b))) (/.f64 (/.f64 (*.f64 1/2 (/.f64 (PI.f64) b)) a) b)))))
(if (<=.f64 b -7808073188967071/2097152) (/.f64 (/.f64 1/2 (.f64 a b)) (/.f64 b (PI.f64))) (if (<=.f64 b 7067388259113537/7067388259113537318333190002971674063309935587502475832486424805170479104) (/.f64 (/.f64 1/2 a) (/.f64 a (/.f64 (PI.f64) b))) (if (<=.f64 b 6198993812903575/4611686018427387904) (/.f64 (/.f64 1/2 (.f64 a b)) (/.f64 b (PI.f64))) (if (<=.f64 b 42755380668615401416823402778795217042538496) (/.f64 (/.f64 1/2 a) (/.f64 a (/.f64 (PI.f64) b))) (/.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 b (PI.f64)))))))
(if (<=.f64 b -7808073188967071/2097152) (/.f64 (/.f64 1/2 (.f64 b a)) (/.f64 b (PI.f64))) (if (<=.f64 b 7067388259113537/7067388259113537318333190002971674063309935587502475832486424805170479104) (/.f64 (/.f64 1/2 a) (/.f64 a (/.f64 (PI.f64) b))) (if (<=.f64 b 6198993812903575/4611686018427387904) (/.f64 (/.f64 1/2 (.f64 b a)) (/.f64 b (PI.f64))) (if (<=.f64 b 42755380668615401416823402778795217042538496) (/.f64 (/.f64 1/2 a) (/.f64 a (/.f64 (PI.f64) b))) (/.f64 (/.f64 1/2 (*.f64 b a)) (/.f64 b (PI.f64)))))))
(if (<=.f64 b -7808073188967071/2097152) (/.f64 1/2 (.f64 (/.f64 b (PI.f64)) (.f64 a b))) (if (<=.f64 b 7067388259113537/7067388259113537318333190002971674063309935587502475832486424805170479104) (/.f64 (/.f64 1/2 a) (/.f64 a (/.f64 (PI.f64) b))) (if (<=.f64 b 6198993812903575/4611686018427387904) (/.f64 1/2 (.f64 (/.f64 b (PI.f64)) (.f64 a b))) (if (<=.f64 b 1663935636377515857393505546649854902618030080) (/.f64 (/.f64 1/2 a) (/.f64 a (/.f64 (PI.f64) b))) (/.f64 1/2 (.f64 (/.f64 b (PI.f64)) (.f64 a b)))))))
(if (<=.f64 b -7808073188967071/2097152) (/.f64 1/2 (.f64 (.f64 b a) (/.f64 b (PI.f64)))) (if (<=.f64 b 7067388259113537/7067388259113537318333190002971674063309935587502475832486424805170479104) (/.f64 (/.f64 1/2 a) (/.f64 a (/.f64 (PI.f64) b))) (if (<=.f64 b 6198993812903575/4611686018427387904) (/.f64 1/2 (.f64 (.f64 b a) (/.f64 b (PI.f64)))) (if (<=.f64 b 1663935636377515857393505546649854902618030080) (/.f64 (/.f64 1/2 a) (/.f64 a (/.f64 (PI.f64) b))) (/.f64 1/2 (.f64 (.f64 b a) (/.f64 b (PI.f64))))))))
(/.f64 (/.f64 1/2 a) (/.f64 a (/.f64 (PI.f64) b)))

Compiler

Compiled 276 to 154 computations (44.2% saved)

soundness0.0ms (0%)

end179.0ms (1.7%)

Compiler: Compiled 266 to 127 computations (52.3% saved)