Details

analyze281.0ms (2.4%)

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)

sample1.9s (16.4%)

Results

1.7s	8256×	body	256	valid
164.0ms	711×	body	256	infinite

Bogosity

preprocess44.0ms (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)

simplify42.0ms (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

8.9b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.4b	(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (fma.f64 b b (.f64 a (neg.f64 a)))))
▶	14.0b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

Status

Error

Program

▶

9.4b

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

▶

14.0b

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

Compiler

Compiled 43 to 30 computations (30.2% saved)

localize75.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))))
✓	0.5b	(/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))
✓	4.5b	(-.f64 (.f64 b b) (.f64 a a))
✓	8.9b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

Compiler

Compiled 79 to 37 computations (53.2% saved)

series17.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite110.0ms (0.9%)

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))))))

simplify88.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

378 → 335

Calls

Call 1

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

Outputs
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 (*.f64 a a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) a)))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (.f64 1/2 (PI.f64)) (.f64 (*.f64 a a) b)))
(fma.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) a)) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))))
(.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) a)) (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) b))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))))
(fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))
(fma.f64 1/2 (.f64 (/.f64 (PI.f64) (pow.f64 a 4)) b) (.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 (.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) a)) (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) b))) (.f64 -1/2 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))))))
(fma.f64 -1/2 (.f64 (PI.f64) (/.f64 (.f64 b b) (pow.f64 a 5))) (fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))))
(fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 a 5) (.f64 (PI.f64) b))) (fma.f64 1/2 (.f64 (/.f64 (PI.f64) (pow.f64 a 4)) b) (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 b a))))
(*.f64 (/.f64 1/2 b) (/.f64 (/.f64 (PI.f64) a) b))
(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b))))
(fma.f64 1/2 (/.f64 (PI.f64) (.f64 b (.f64 b a))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))
(.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 b (.f64 b a))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))
(fma.f64 1/2 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b))))
(fma.f64 1/2 (.f64 (PI.f64) (/.f64 a (pow.f64 b 4))) (.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(fma.f64 -1/2 (/.f64 (.f64 (PI.f64) (.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.f64) a) (.f64 b b))))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (PI.f64)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 b (.f64 b a))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (PI.f64) (.f64 a (.f64 b b)))) (*.f64 -1/2 (fma.f64 (/.f64 a (/.f64 (pow.f64 b 5) a)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (PI.f64) (.f64 a (.f64 b b)))) (.f64 -1/2 (fma.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3)))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 b a))))
(*.f64 (/.f64 1/2 b) (/.f64 (/.f64 (PI.f64) a) b))
(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b))))
(fma.f64 1/2 (/.f64 (PI.f64) (.f64 b (.f64 b a))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))
(.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 b (.f64 b a))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))
(fma.f64 1/2 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b))))
(fma.f64 1/2 (.f64 (PI.f64) (/.f64 a (pow.f64 b 4))) (.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(fma.f64 -1/2 (/.f64 (.f64 (PI.f64) (.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.f64) a) (.f64 b b))))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (PI.f64)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 b (.f64 b a))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (PI.f64) (.f64 a (.f64 b b)))) (*.f64 -1/2 (fma.f64 (/.f64 a (/.f64 (pow.f64 b 5) a)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (PI.f64) (.f64 a (.f64 b b)))) (.f64 -1/2 (fma.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3)))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 a (pow.f64 b 2))))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))
(.f64 1/2 (/.f64 (PI.f64) (.f64 b (*.f64 b a))))
(*.f64 (/.f64 1/2 b) (/.f64 (/.f64 (PI.f64) a) b))
(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 b b))))
(fma.f64 1/2 (/.f64 (PI.f64) (.f64 b (.f64 b a))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))
(.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.f64) a) (.f64 b b)))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 b (.f64 b a))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))
(fma.f64 1/2 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b))))
(fma.f64 1/2 (.f64 (PI.f64) (/.f64 a (pow.f64 b 4))) (.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (PI.f64)) (pow.f64 b 4))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))))
(fma.f64 -1/2 (/.f64 (.f64 (PI.f64) (.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.f64) a) (.f64 b b))))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (PI.f64)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 b (.f64 b a))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (PI.f64) (.f64 a (.f64 b b)))) (*.f64 -1/2 (fma.f64 (/.f64 a (/.f64 (pow.f64 b 5) a)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3)))))
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (PI.f64) (.f64 a (.f64 b b)))) (.f64 -1/2 (fma.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3)))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 (*.f64 a a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) a)))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (.f64 1/2 (PI.f64)) (.f64 (*.f64 a a) b)))
(fma.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) a)) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))))
(.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))))
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) a)) (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) b))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))))
(fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))
(fma.f64 1/2 (.f64 (/.f64 (PI.f64) (pow.f64 a 4)) b) (.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 (.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) a)) (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) b))) (.f64 -1/2 (/.f64 (.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))))))
(fma.f64 -1/2 (.f64 (PI.f64) (/.f64 (.f64 b b) (pow.f64 a 5))) (fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))))
(fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 a 5) (.f64 (PI.f64) b))) (fma.f64 1/2 (.f64 (/.f64 (PI.f64) (pow.f64 a 4)) b) (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(/.f64 (.f64 1/2 (PI.f64)) (.f64 (*.f64 a a) b))
(.f64 1/2 (/.f64 (PI.f64) (.f64 (*.f64 b a) a)))
(.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (.f64 1/2 (PI.f64)) (.f64 (*.f64 a a) b)))
(fma.f64 1/2 (/.f64 (PI.f64) (.f64 (.f64 b a) a)) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))))
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(+.f64 (-.f64 (-.f64 (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))
(+.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 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))
✓	0.2b	(/.f64 (PI.f64) a)
✓	2.5b	(fma.f64 b b (*.f64 a (neg.f64 a)))
✓	9.4b	(/.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 61 to 22 computations (63.9% saved)

series14.0ms (0.1%)

Counts

4 → 72

Calls

21 calls:

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

rewrite191.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 307

Calls

Call 1

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

Outputs
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((x .f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))) (pow.f64 (cbrt.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))) 2) (cbrt.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 3) (pow.f64 (.f64 2 (pow.f64 (hypot.f64 b a) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 b a) 2) (fma.f64 a a (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 b a) 2) (fma.f64 -1 (.f64 a a) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 b a) 2) (fma.f64 (.f64 a a) 1 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 b a) 2) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 a) 2)) (pow.f64 (pow.f64 (cbrt.f64 a) 2) 2) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 b a) 2) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 a) 2) 2)) (pow.f64 (cbrt.f64 a) 2) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b b) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (hypot.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b b) 1) (.f64 a a))))) (#(struct:change #<rule 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simplify136.0ms (1.2%)

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))

eval631.0ms (5.4%)

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

prune143.0ms (1.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

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

Error

4.6b

Counts

671 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	23.6b	(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a b)))
	40.4b	(pow.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2)) (hypot.f64 b a)) 2)
	32.7b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 -1 a) a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	13.9b	(/.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 (PI.f64) 1/2)) (-.f64 (.f64 b b) (.f64 a a)))
	30.3b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (*.f64 b b))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	18.3b	(.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))))
	32.8b	(/.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))))
▶	32.7b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (*.f64 a (neg.f64 a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	30.5b	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
▶	13.9b	(/.f64 (.f64 (PI.f64) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (*.f64 a a)))) 2)
	13.9b	(/.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) (-.f64 b a)) (.f64 2 (*.f64 b a)))
	30.2b	(.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))
▶	47.4b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 a (neg.f64 a)) (.f64 a (neg.f64 a)))) (-.f64 (.f64 b b) (*.f64 a (neg.f64 a)))))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
▶	27.6b	(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
	18.2b	(.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))))
▶	32.7b	(.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
	30.5b	(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 a a)))
	30.5b	(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))

Compiler

Compiled 710 to 504 computations (29% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 a) (/.f64 -1 b))
✓	0.2b	(.f64 (PI.f64) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (*.f64 a a))))
	4.5b	(-.f64 (.f64 b b) (.f64 a a))
✓	8.9b	(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (.f64 a a)))

Compiler

Compiled 85 to 40 computations (52.9% saved)

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite83.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`log-prod_binary64`
684×	`fma-def_binary64`
302×	`fma-neg_binary64`
273×	`expm1-udef_binary64`
273×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	318	37
2	4822	37

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

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

Outputs

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

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

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

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

755×	`associate-/r*_binary64`
739×	`associate-/l*_binary64`
726×	`fma-def_binary64`
352×	`associate-r_binary64`
352×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	1518
1	198	1482
2	535	1446
3	1953	1410

Stop Event

1×	node limit

Counts

206 → 170

Calls

Call 1

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
✓	0.5b	(/.f64 1/2 (.f64 a (.f64 b b)))
✓	8.1b	(.f64 a (.f64 b b))

Compiler

Compiled 30 to 11 computations (63.3% saved)

series13.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite62.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

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

Outputs

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

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

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

simplify147.0ms (1.3%)

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)))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))
✓	0.5b	(/.f64 (PI.f64) (*.f64 a a))
✓	4.7b	(.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))

Compiler

Compiled 41 to 22 computations (46.3% saved)

series8.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite122.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 214

Calls

Call 1

Inputs
(.f64 (/.f64 (PI.f64) (.f64 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))))))

simplify68.0ms (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))

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 a) (/.f64 1 b))
✓	0.2b	(.f64 (/.f64 (PI.f64) 2) (/.f64 1 (.f64 a (neg.f64 a))))
✓	0.4b	(/.f64 1 (*.f64 a (neg.f64 a)))
✓	4.7b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (*.f64 a (neg.f64 a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

Compiler

Compiled 63 to 36 computations (42.9% saved)

series8.0ms (0.1%)

Counts

4 → 54

Calls

18 calls:

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

rewrite97.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

975×	`prod-diff_binary64`
255×	`expm1-udef_binary64`
255×	`log1p-udef_binary64`
171×	`add-sqr-sqrt_binary64`
164×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	57
1	341	48
2	5345	48

Stop Event

1×	node limit

Counts

4 → 254

Calls

Call 1

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

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

simplify117.0ms (1%)

Algorithm

1×	egg-herbie

Rules

728×	`times-frac_binary64`
616×	`associate-/r*_binary64`
538×	`associate-/l/_binary64`
536×	`unswap-sqr_binary64`
469×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	765
1	48	765
2	111	675
3	301	675
4	1094	675
5	5268	675
6	6861	675
7	7098	675
8	7351	675
9	7642	675

Stop Event

1×	node limit

Counts

308 → 266

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

localize61.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 1 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 a (neg.f64 a)) (.f64 a (neg.f64 a)))) (-.f64 (.f64 b b) (*.f64 a (neg.f64 a)))))
✓	8.9b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 a (neg.f64 a)) (.f64 a (neg.f64 a)))) (-.f64 (.f64 b b) (*.f64 a (neg.f64 a)))))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
✓	10.6b	(-.f64 (pow.f64 b 4) (.f64 (.f64 a (neg.f64 a)) (*.f64 a (neg.f64 a))))
✓	44.1b	(/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 a (neg.f64 a)) (.f64 a (neg.f64 a)))) (-.f64 (.f64 b b) (*.f64 a (neg.f64 a))))

Compiler

Compiled 176 to 61 computations (65.3% saved)

series15.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	b	@	-inf	(-.f64 (pow.f64 b 4) (.f64 (.f64 a (neg.f64 a)) (*.f64 a (neg.f64 a))))
1.0ms	b	@	0	(/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 a (neg.f64 a)) (.f64 a (neg.f64 a)))) (-.f64 (.f64 b b) (*.f64 a (neg.f64 a))))
1.0ms	a	@	inf	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 a (neg.f64 a)) (.f64 a (neg.f64 a)))) (-.f64 (.f64 b b) (*.f64 a (neg.f64 a)))))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
1.0ms	a	@	0	(/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 a (neg.f64 a)) (.f64 a (neg.f64 a)))) (-.f64 (.f64 b b) (*.f64 a (neg.f64 a))))
1.0ms	b	@	inf	(/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 a (neg.f64 a)) (.f64 a (neg.f64 a)))) (-.f64 (.f64 b b) (*.f64 a (neg.f64 a))))

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

263×	`add-sqr-sqrt_binary64`
257×	`pow1_binary64`
256×	`*-un-lft-identity_binary64`
246×	`add-log-exp_binary64`
246×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	124
1	531	53

Stop Event

1×	node limit

Counts

4 → 220

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b b) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b b) (+.f64 (.f64 a a) (fma.f64 a a (.f64 a a))))))) (#(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 (.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)) (.f64 a (cbrt.f64 a)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 b a) 2) (.f64 (fma.f64 a a (.f64 a a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 b a) 2) (+.f64 (fma.f64 a a (.f64 a a)) (fma.f64 a a (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 a a (.f64 a a)) (pow.f64 (hypot.f64 b a) 2))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 b 4) (.f64 a (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (pow.f64 a 3)) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 (pow.f64 a 3) a (.f64 a (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 (.f64 a a) (.f64 a a) (.f64 a (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 (.f64 a (pow.f64 a 3)) 1 (.f64 a (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 (neg.f64 (.f64 a (cbrt.f64 a))) (cbrt.f64 (pow.f64 (.f64 a a) 4)) (.f64 a (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (fma.f64 a (pow.f64 a 3) (.f64 a (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 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(cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2) 2)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 b a) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2) 2)) (/.f64 (hypot.f64 b a) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 b a) (pow.f64 (hypot.f64 b a) 2)) (/.f64 (hypot.f64 b a) (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (pow.f64 b 6) (pow.f64 (.f64 a a) 3))) (+.f64 (pow.f64 b 4) (.f64 (.f64 a a) (pow.f64 (hypot.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) (neg.f64 (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (hypot.f64 b a) 2) (-.f64 (pow.f64 b 12) (pow.f64 (.f64 a a) 6))) (+.f64 (pow.f64 b 8) (.f64 (.f64 a (pow.f64 a 3)) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (hypot.f64 b a) 2) (+.f64 (pow.f64 b 8) (pow.f64 (.f64 a a) 4))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) -2) 1) (pow.f64 (hypot.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) -2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2)) (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) -2) (hypot.f64 b a)) (hypot.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 b a) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (hypot.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (pow.f64 (hypot.f64 b a) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (hypot.f64 b a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (pow.f64 (hypot.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (pow.f64 (hypot.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (pow.f64 (hypot.f64 b a) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 3) (pow.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (pow.f64 (hypot.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (pow.f64 (hypot.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (pow.f64 (hypot.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 b a) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (pow.f64 (hypot.f64 b a) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 b a) 2)) (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))))

simplify78.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

759×	`fma-neg_binary64`
634×	`associate-/l/_binary64`
487×	`cancel-sign-sub-inv_binary64`
464×	`times-frac_binary64`
421×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	1875
1	231	1824
2	724	1731
3	3318	1710

Stop Event

1×	node limit

Counts

316 → 262

Calls

Call 1

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

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

eval545.0ms (4.7%)

Compiler: Compiled 27970 to 16214 computations (42% saved)

prune378.0ms (3.2%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	1134	16	1150
Fresh	12	1	13
Picked	1	0	1
Done	2	2	4
Total	1149	19	1168

Error

0.0b

Counts

1168 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.6b	(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
	30.5b	(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) 2)
▶	0.3b	(/.f64 (.f64 (PI.f64) (.f64 (/.f64 1 (+.f64 a b)) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 b a)))) 2)
	30.5b	(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 a a)))
	27.8b	(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) 2)
▶	30.5b	(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
	31.0b	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 b a)) (.f64 2 (.f64 a b)))
	1.2b	(/.f64 (.f64 (PI.f64) (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (+.f64 a b) (*.f64 a b)))) 3)) 2)
	44.9b	(pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))) a) 2)
	28.2b	(/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a) a)
▶	27.8b	(/.f64 (.f64 (/.f64 1/2 a) (PI.f64)) (.f64 b b))
	49.3b	(/.f64 (.f64 (PI.f64) (.f64 (/.f64 (hypot.f64 (sqrt.f64 (/.f64 -1 b)) (pow.f64 a -1/2)) (+.f64 a b)) (/.f64 (hypot.f64 (sqrt.f64 (/.f64 -1 b)) (pow.f64 a -1/2)) (-.f64 b a)))) 2)
▶	30.5b	(/.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) 2)
	23.5b	(*.f64 (/.f64 1/2 b) (/.f64 (/.f64 (PI.f64) a) b))
	25.9b	(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 1/2 b) a))
▶	0.7b	(/.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (.f64 a b))) 2)
	40.0b	(/.f64 (.f64 (/.f64 (PI.f64) a) (-.f64 (/.f64 1/4 (.f64 b b)) (/.f64 1/4 (.f64 a a)))) (.f64 a (-.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))
✓	13.9b	(/.f64 (.f64 (PI.f64) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (*.f64 a a)))) 2)
	23.5b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) b)

Compiler

Compiled 550 to 403 computations (26.7% saved)

localize113.0ms (1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 100 to 56 computations (44% saved)

series50.0ms (0.4%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
14.0ms	b	@	0	(.f64 (PI.f64) (.f64 (/.f64 1 (+.f64 a b)) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 b a))))
2.0ms	a	@	0	(.f64 (PI.f64) (.f64 (/.f64 1 (+.f64 a b)) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 b a))))
2.0ms	b	@	inf	(.f64 (PI.f64) (.f64 (/.f64 1 (+.f64 a b)) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 b a))))
2.0ms	a	@	inf	(.f64 (PI.f64) (.f64 (/.f64 1 (+.f64 a b)) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 b a))))
2.0ms	b	@	0	(*.f64 (/.f64 1 (+.f64 a b)) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 b a)))

rewrite167.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`fma-def_binary64`
304×	`expm1-udef_binary64`
304×	`log1p-udef_binary64`
280×	`fma-neg_binary64`
256×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	71
1	345	71
2	5486	71

Stop Event

1×	node limit

Counts

4 → 139

Calls

Call 1

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

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

simplify187.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

397×	`unsub-neg_binary64`
371×	`fma-def_binary64`
275×	`fma-neg_binary64`
230×	`+-commutative_binary64`
223×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	309	3699
1	1138	3003
2	5727	1972

Stop Event

1×	node limit

Counts

235 → 215

Calls

Call 1

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

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

localize26.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 14 computations (50% saved)

series14.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite109.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

Outputs

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

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

simplify193.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

157 → 113

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 1/2 a) (PI.f64))
✓	8.1b	(/.f64 (.f64 (/.f64 1/2 a) (PI.f64)) (.f64 b b))

Compiler

Compiled 26 to 14 computations (46.2% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

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

Outputs

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

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

simplify152.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

130 → 97

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (.f64 a b))) 2)
✓	0.2b	(.f64 (+.f64 a b) (.f64 a b))
✓	0.6b	(/.f64 (PI.f64) (.f64 (+.f64 a b) (.f64 a b)))

Compiler

Compiled 39 to 10 computations (74.4% saved)

series9.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

639×	`log-prod_binary64`
610×	`prod-diff_binary64`
303×	`pow2_binary64`
275×	`fma-def_binary64`
215×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	228	41
2	3377	41

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

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

Outputs

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

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

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

simplify96.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

595×	`associate-*l/_binary64`
488×	`associate-r_binary64`
476×	`associate-l_binary64`
367×	`associate-*r/_binary64`
346×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	1809
1	210	1782
2	644	1647
3	2476	1554
4	7933	1554

Stop Event

1×	node limit

Counts

186 → 152

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) 2)
✓	0.4b	(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))
✓	9.6b	(*.f64 (pow.f64 a 2) b)

Compiler

Compiled 30 to 19 computations (36.7% saved)

series7.0ms (0.1%)

Counts

3 → 24

Calls

18 calls:

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

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`log-prod_binary64`
385×	`exp-prod_binary64`
341×	`prod-exp_binary64`
299×	`pow-prod-down_binary64`
247×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	199	32
2	2616	32

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

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

Outputs

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

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

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

simplify169.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

158 → 136

Calls

Call 1

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

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

eval573.0ms (4.9%)

Compiler: Compiled 14138 to 8182 computations (42.1% saved)

prune239.0ms (2%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	701	12	713
Fresh	11	1	12
Picked	1	0	1
Done	3	3	6
Total	716	16	732

Error

Counts

732 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.9b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a b)) a))
▶	25.9b	(/.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 a b)) 2)
	23.5b	(*.f64 (/.f64 1/2 b) (/.f64 (/.f64 (PI.f64) a) b))
▶	0.7b	(+.f64 0 (/.f64 1/2 (/.f64 (+.f64 a b) (/.f64 (PI.f64) (*.f64 a b)))))
▶	0.3b	(/.f64 (.f64 (/.f64 1 (+.f64 a b)) (/.f64 (PI.f64) (.f64 a b))) 2)
	26.0b	(/.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) 2)
	30.5b	(/.f64 (/.f64 (PI.f64) (.f64 b (.f64 a a))) 2)
	23.5b	(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b))
	4.6b	(/.f64 (/.f64 (PI.f64) (.f64 a (.f64 b (+.f64 a b)))) 2)
	23.5b	(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
✓	27.8b	(/.f64 (.f64 (/.f64 1/2 a) (PI.f64)) (.f64 b b))
▶	25.9b	(/.f64 (.f64 (/.f64 1/2 (.f64 a b)) (PI.f64)) a)
✓	27.6b	(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
✓	0.7b	(/.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (.f64 a b))) 2)
	34.9b	(/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (pow.f64 (+.f64 a b) -1/2) 2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 b a)))) 2)
	26.3b	(/.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 3)) 2)

Compiler

Compiled 375 to 275 computations (26.7% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (.f64 (/.f64 1 (+.f64 a b)) (/.f64 (PI.f64) (.f64 a b))) 2)
	0.0b	(/.f64 1 (+.f64 a b))
✓	0.2b	(.f64 (/.f64 1 (+.f64 a b)) (/.f64 (PI.f64) (.f64 a b)))
✓	1.0b	(/.f64 (PI.f64) (*.f64 a b))

Compiler

Compiled 47 to 18 computations (61.7% saved)

series10.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

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

rewrite124.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

709×	`log-prod_binary64`
619×	`prod-diff_binary64`
280×	`log-div_binary64`
235×	`expm1-udef_binary64`
235×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	270	39
2	3963	39

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

Outputs

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

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

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

simplify81.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

602×	`associate-*l/_binary64`
488×	`associate-r_binary64`
474×	`associate-l_binary64`
380×	`associate-*r/_binary64`
345×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	1515
1	207	1488
2	638	1371
3	2449	1332
4	7865	1332

Stop Event

1×	node limit

Counts

185 → 169

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a b)) a))
✓	0.2b	(/.f64 (/.f64 (PI.f64) (*.f64 a b)) a)
	1.0b	(/.f64 (PI.f64) (*.f64 a b))

Compiler

Compiled 30 to 9 computations (70% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite134.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

576×	`log-prod_binary64`
438×	`exp-prod_binary64`
334×	`pow-prod-down_binary64`
265×	`pow2_binary64`
201×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	196	25
2	2794	25

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

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

Outputs

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

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

simplify198.0ms (1.7%)

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

139 → 95

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)))
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(.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)))

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 (/.f64 1/2 (.f64 a b)) (PI.f64)) a)
✓	0.3b	(.f64 (/.f64 1/2 (.f64 a b)) (PI.f64))
✓	0.9b	(/.f64 1/2 (*.f64 a b))

Compiler

Compiled 30 to 14 computations (53.3% saved)

series13.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

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

rewrite93.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`log-prod_binary64`
413×	`exp-prod_binary64`
333×	`pow-prod-down_binary64`
261×	`pow2_binary64`
186×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	197	32
2	2729	32

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

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

Outputs

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

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

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

simplify247.0ms (2.1%)

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

188 → 144

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))

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 9 computations (67.9% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite153.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

594×	`log-prod_binary64`
449×	`exp-prod_binary64`
361×	`pow-prod-down_binary64`
272×	`pow2_binary64`
235×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	204	25
2	3010	25

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

Outputs

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

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

simplify216.0ms (1.8%)

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

156 → 112

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)))

localize28.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 a b) (/.f64 (PI.f64) (*.f64 a b)))
✓	0.6b	(/.f64 1/2 (/.f64 (+.f64 a b) (/.f64 (PI.f64) (*.f64 a b))))
	1.0b	(/.f64 (PI.f64) (*.f64 a b))

Compiler

Compiled 51 to 15 computations (70.6% saved)

series10.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite100.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`log-prod_binary64`
637×	`prod-diff_binary64`
247×	`log-div_binary64`
214×	`expm1-udef_binary64`
214×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	233	31
2	3621	31

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

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

simplify186.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

940×	`fma-def_binary64`
668×	`unswap-sqr_binary64`
482×	`associate-*l/_binary64`
406×	`distribute-rgt-out_binary64`
400×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	52	1290
1	157	1290
2	460	1173
3	1688	1008
4	6055	990

Stop Event

1×	node limit

Counts

131 → 105

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

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

eval325.0ms (2.8%)

Compiler: Compiled 12550 to 6058 computations (51.7% saved)

prune189.0ms (1.6%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	784	6	790
Fresh	5	3	8
Picked	1	0	1
Done	2	5	7
Total	792	14	806

Error

Counts

806 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	25.9b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a b)) a))
✓	25.9b	(/.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 a b)) 2)
	4.4b	(/.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 a b) b)) 2)
	23.5b	(*.f64 (/.f64 1/2 b) (/.f64 (/.f64 (PI.f64) a) b))
	26.1b	(/.f64 1/2 (*.f64 a (/.f64 a (/.f64 (PI.f64) b))))
✓	0.7b	(/.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (.f64 a b))) 2)
	25.9b	(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 1/2 a))
	25.9b	(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
	23.5b	(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
✓	27.8b	(/.f64 (.f64 (/.f64 1/2 a) (PI.f64)) (.f64 b b))
	26.1b	(+.f64 0 (/.f64 1/2 (*.f64 a (/.f64 b (/.f64 (PI.f64) a)))))
✓	27.6b	(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
	25.9b	(/.f64 (/.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) b) a)
	23.5b	(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b))

Compiler

Compiled 160 to 116 computations (27.5% saved)

regimes105.0ms (0.9%)

Counts

54 → 1

Calls

Call 1

Inputs
(/.f64 1/2 (*.f64 a (/.f64 a (/.f64 (PI.f64) b))))
(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 1/2 a))
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
(/.f64 (/.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) b) a)
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 a b)) 2)
(/.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) 2)
(/.f64 (/.f64 (PI.f64) (.f64 b (.f64 a a))) 2)
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(/.f64 (.f64 (/.f64 1/2 (.f64 a b)) (PI.f64)) a)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) 2)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) 2)
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(/.f64 (.f64 (/.f64 1/2 a) (PI.f64)) (.f64 b b))
(*.f64 (/.f64 1/2 b) (/.f64 (/.f64 (PI.f64) a) b))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 1/2 b) a))
(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) b)
(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 a a)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 a b) b)) 2)
(+.f64 0 (/.f64 1/2 (*.f64 a (/.f64 b (/.f64 (PI.f64) a)))))
(/.f64 (/.f64 (PI.f64) (.f64 a (.f64 b (+.f64 a b)))) 2)
(/.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (.f64 a b))) 2)
(+.f64 0 (/.f64 1/2 (/.f64 (+.f64 a b) (/.f64 (PI.f64) (*.f64 a b)))))
(/.f64 (.f64 (/.f64 1 (+.f64 a b)) (/.f64 (PI.f64) (.f64 a b))) 2)
(/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) 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) (.f64 a a)) (+.f64 b a)) (.f64 2 (.f64 a b)))
(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 -1 a) a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (*.f64 b b))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (*.f64 a (neg.f64 a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(/.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 (PI.f64) 1/2)) (-.f64 (.f64 b b) (.f64 a a)))
(/.f64 (.f64 (PI.f64) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (*.f64 a a)))) 2)
(/.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) (-.f64 b a)) (.f64 2 (*.f64 b a)))
(/.f64 (.f64 (PI.f64) (.f64 (/.f64 1 (+.f64 a b)) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 b a)))) 2)
(.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) a) (-.f64 (/.f64 1/4 (.f64 b b)) (/.f64 1/4 (.f64 a a)))) (.f64 a (-.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))
(/.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) 2)
(.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b)))
(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 a (neg.f64 a)) (.f64 a (neg.f64 a)))) (-.f64 (.f64 b b) (*.f64 a (neg.f64 a)))))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
(/.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 3)) 2)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))) a) 2)
(/.f64 (.f64 (PI.f64) (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (+.f64 a b) (*.f64 a b)))) 3)) 2)
(/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (pow.f64 (+.f64 a b) -1/2) 2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 b a)))) 2)
(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (fma.f64 b b (.f64 a (neg.f64 a)))))
(/.f64 (.f64 (-.f64 (pow.f64 a -2) (pow.f64 b -2)) (.f64 (PI.f64) 1/2)) (.f64 (+.f64 (/.f64 1 a) (pow.f64 b -1)) (-.f64 (.f64 b b) (*.f64 a a))))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1/2)) (hypot.f64 b a)) 2)
(.f64 (/.f64 1 (.f64 (hypot.f64 b a) (sqrt.f64 2))) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 (hypot.f64 b a) (sqrt.f64 2))))
(/.f64 (.f64 (PI.f64) (.f64 (/.f64 (hypot.f64 (sqrt.f64 (/.f64 -1 b)) (pow.f64 a -1/2)) (+.f64 a b)) (/.f64 (hypot.f64 (sqrt.f64 (/.f64 -1 b)) (pow.f64 a -1/2)) (-.f64 b a)))) 2)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 2) (.f64 (hypot.f64 b a) (sqrt.f64 2))) (/.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (*.f64 (hypot.f64 b a) (sqrt.f64 2))))

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

Calls

3 calls:

42.0ms	a
25.0ms	b
19.0ms	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

Results

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

Compiler

Compiled 798 to 416 computations (47.9% saved)

regimes49.0ms (0.4%)

Counts

27 → 1

Calls

Call 1

Inputs
(/.f64 1/2 (*.f64 a (/.f64 a (/.f64 (PI.f64) b))))
(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 1/2 a))
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
(/.f64 (/.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) b) a)
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 a b)) 2)
(/.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) 2)
(/.f64 (/.f64 (PI.f64) (.f64 b (.f64 a a))) 2)
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(/.f64 (.f64 (/.f64 1/2 (.f64 a b)) (PI.f64)) a)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) 2)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) 2)
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(/.f64 (.f64 (/.f64 1/2 a) (PI.f64)) (.f64 b b))
(*.f64 (/.f64 1/2 b) (/.f64 (/.f64 (PI.f64) a) b))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 1/2 b) a))
(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) b)
(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 a a)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 a b) b)) 2)
(+.f64 0 (/.f64 1/2 (*.f64 a (/.f64 b (/.f64 (PI.f64) a)))))
(/.f64 (/.f64 (PI.f64) (.f64 a (.f64 b (+.f64 a b)))) 2)
(/.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (.f64 a b))) 2)
(+.f64 0 (/.f64 1/2 (/.f64 (+.f64 a b) (/.f64 (PI.f64) (*.f64 a b)))))

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

Calls

2 calls:

14.0ms	a
13.0ms	b

Results

Error	Segments	Branch
0.7b	1	`a`
0.7b	1	`b`

Compiler

Compiled 263 to 121 computations (54% saved)

regimes112.0ms (1%)

Counts

25 → 3

Calls

Call 1

Inputs
(/.f64 1/2 (*.f64 a (/.f64 a (/.f64 (PI.f64) b))))
(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 1/2 a))
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
(/.f64 (/.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) b) a)
(.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a b)) a))
(/.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 a b)) 2)
(/.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) 2)
(/.f64 (/.f64 (PI.f64) (.f64 b (.f64 a a))) 2)
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2))
(/.f64 (.f64 (/.f64 1/2 (.f64 a b)) (PI.f64)) a)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) 2)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) 2)
(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
(/.f64 (.f64 (/.f64 1/2 a) (PI.f64)) (.f64 b b))
(*.f64 (/.f64 1/2 b) (/.f64 (/.f64 (PI.f64) a) b))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 1/2 b) a))
(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) b)
(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 a a)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 a b) b)) 2)
(+.f64 0 (/.f64 1/2 (*.f64 a (/.f64 b (/.f64 (PI.f64) a)))))
(/.f64 (/.f64 (PI.f64) (.f64 a (.f64 b (+.f64 a b)))) 2)

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

Calls

2 calls:

44.0ms	b
34.0ms	a

Results

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

Compiler

Compiled 239 to 112 computations (53.1% saved)

bsearch76.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
49.0ms	7.930436204185564e+128	4.144513087152861e+131
27.0ms	-5.2625160415156985e+97	-2.8995822588971936e+88

Compiler

Compiled 28 to 21 computations (25% saved)

regimes111.0ms (1%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

2 calls:

62.0ms	a
44.0ms	b

Results

Error	Segments	Branch
4.0b	3	`a`
4.3b	3	`b`

Compiler

Compiled 206 to 96 computations (53.4% saved)

bsearch57.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	2.9827146369553694e-9	9.63705058878894e-6
26.0ms	-4.502623231139432e+51	-3.4856596939422193e+44

Compiler

Compiled 28 to 21 computations (25% saved)

regimes110.0ms (0.9%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

2 calls:

63.0ms	a
43.0ms	b

Results

Error	Segments	Branch
4.0b	3	`a`
4.3b	3	`b`

Compiler

Compiled 143 to 70 computations (51% saved)

bsearch66.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	2.9827146369553694e-9	9.63705058878894e-6
39.0ms	-4.502623231139432e+51	-3.4856596939422193e+44

Compiler

Compiled 28 to 21 computations (25% saved)

regimes77.0ms (0.7%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	b
22.0ms	a

Results

Error	Segments	Branch
4.0b	3	`a`
4.4b	3	`b`

Compiler

Compiled 89 to 45 computations (49.4% saved)

bsearch64.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	2.9827146369553694e-9	9.63705058878894e-6
31.0ms	-4.502623231139432e+51	-3.4856596939422193e+44

Compiler

Compiled 28 to 21 computations (25% saved)

regimes21.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	a
6.0ms	b

Results

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

Compiler

Compiled 80 to 41 computations (48.8% saved)

regimes13.0ms (0.1%)

Accuracy

Total -0.2b remaining (-0.9%)

Threshold costs -0.2b (-0.9%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	a
5.0ms	b

Results

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

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	298
1	76	298

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 1 (+.f64 a b)) (/.f64 (PI.f64) (.f64 a b))) 2)
(/.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (.f64 a b))) 2)
(if (<=.f64 b -52625160415156985479041964510816068262134037535857502126000385013794911920198944229222507121475584) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) b) (if (<=.f64 b 793043620418556419351647381984723254421467585967081279159871224838234582133667004780949483503279583471788611169315656954890158080) (/.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 (+.f64 a b) b)) 2) (.f64 (/.f64 1/2 b) (/.f64 (/.f64 (PI.f64) a) b))))
(if (<=.f64 a -4502623231139431711385270623629803163386629882642432) (/.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) 2) (if (<=.f64 a 3605880737157821/1208925819614629174706176) (.f64 (/.f64 1/2 b) (/.f64 (/.f64 (PI.f64) a) b)) (.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))))
(if (<=.f64 a -4502623231139431711385270623629803163386629882642432) (/.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) 2) (if (<=.f64 a 3605880737157821/1208925819614629174706176) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) (.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a b)) a))))
(if (<=.f64 a -4502623231139431711385270623629803163386629882642432) (/.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) 2) (if (<=.f64 a 3605880737157821/1208925819614629174706176) (.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) (.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))))
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 1/2 a))
(/.f64 1/2 (*.f64 a (/.f64 a (/.f64 (PI.f64) b))))

Outputs
(/.f64 (.f64 (/.f64 1 (+.f64 a b)) (/.f64 (PI.f64) (.f64 a b))) 2)
(/.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (.f64 a b))) 2)
(if (<=.f64 b -52625160415156985479041964510816068262134037535857502126000385013794911920198944229222507121475584) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) b) (if (<=.f64 b 793043620418556419351647381984723254421467585967081279159871224838234582133667004780949483503279583471788611169315656954890158080) (/.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 (+.f64 a b) b)) 2) (.f64 (/.f64 1/2 b) (/.f64 (/.f64 (PI.f64) a) b))))
(if (<=.f64 b -52625160415156985479041964510816068262134037535857502126000385013794911920198944229222507121475584) (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (.f64 a b)) b) (if (<=.f64 b 793043620418556419351647381984723254421467585967081279159871224838234582133667004780949483503279583471788611169315656954890158080) (/.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 b (+.f64 a b))) 2) (.f64 (/.f64 1/2 b) (/.f64 (/.f64 (PI.f64) a) b))))
(if (<=.f64 a -4502623231139431711385270623629803163386629882642432) (/.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) 2) (if (<=.f64 a 3605880737157821/1208925819614629174706176) (.f64 (/.f64 1/2 b) (/.f64 (/.f64 (PI.f64) a) b)) (.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))))
(if (<=.f64 a -4502623231139431711385270623629803163386629882642432) (/.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) 2) (if (<=.f64 a 3605880737157821/1208925819614629174706176) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) (.f64 1/2 (/.f64 (/.f64 (PI.f64) (.f64 a b)) a))))
(if (<=.f64 a -4502623231139431711385270623629803163386629882642432) (/.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) 2) (if (<=.f64 a 3605880737157821/1208925819614629174706176) (.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) (.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))))
(if (<=.f64 a -4502623231139431711385270623629803163386629882642432) (/.f64 (/.f64 (PI.f64) (.f64 a (.f64 a b))) 2) (if (<=.f64 a 3605880737157821/1208925819614629174706176) (.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1/2 a) b)) (.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a))))
(.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 1/2 a))
(/.f64 1/2 (*.f64 a (/.f64 a (/.f64 (PI.f64) b))))

Compiler

Compiled 211 to 137 computations (35.1% saved)

soundness381.0ms (3.3%)

Algorithm

3×	egg-herbie

Rules

948×	`fma-def_binary64`
759×	`fma-neg_binary64`
691×	`div-sub_binary64`
668×	`unswap-sqr_binary64`
634×	`associate-/l/_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
0	56	1308
1	164	1254
2	482	1173
3	1727	1152
4	6013	1134
0	82	1875
1	231	1824
2	724	1731
3	3318	1710

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 439 to 320 computations (27.1% saved)

end155.0ms (1.3%)

Compiler: Compiled 195 to 89 computations (54.4% saved)