Details

analyze308.0ms (3.1%)

Algorithm

1×

Search

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

Compiler

Compiled 24 to 18 computations (25% saved)

sample2.1s (21.2%)

Results

1.9s	8256×	body	256	valid
126.0ms	725×	body	256	invalid

preprocess96.0ms (1%)

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)

simplify43.0ms (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

9.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.1b	(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (fma.f64 b b (.f64 a (neg.f64 a)))))
▶	14.9b	(.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

▶

9.1b

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

▶

14.9b

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

Compiler

Compiled 43 to 30 computations (30.2% saved)

localize25.0ms (0.3%)

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))))
✓	0.7b	(/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))
✓	5.2b	(-.f64 (.f64 b b) (.f64 a a))
✓	8.3b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

Compiler

Compiled 79 to 37 computations (53.2% saved)

series17.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite119.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

simplify98.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

378 → 335

Calls

Call 1

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

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

localize23.0ms (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)
✓	2.8b	(fma.f64 b b (*.f64 a (neg.f64 a)))
✓	9.1b	(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (.f64 2 (fma.f64 b b (.f64 a (neg.f64 a)))))

Compiler

Compiled 61 to 22 computations (63.9% saved)

series10.0ms (0.1%)

Counts

4 → 72

Calls

21 calls:

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

rewrite147.0ms (1.5%)

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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simplify96.0ms (1%)

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))

eval285.0ms (2.9%)

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

prune120.0ms (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

3.4b

Counts

671 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	24.2b	(.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (.f64 a b)))
▶	8.3b	(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
▶	28.7b	(.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))
	18.9b	(.f64 (/.f64 1 (.f64 (hypot.f64 b a) (sqrt.f64 2))) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 (hypot.f64 b a) (sqrt.f64 2))))
	15.2b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) 3))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	14.9b	(/.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) (-.f64 b a)) (.f64 2 (*.f64 b a)))
	32.8b	(.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))
	9.1b	(/.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (PI.f64)) (.f64 (*.f64 2 (+.f64 b a)) (-.f64 b a)))
	28.1b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 -1 a) a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
▶	29.4b	(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
	32.8b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (*.f64 b b))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	19.0b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 2) (.f64 (hypot.f64 b a) (sqrt.f64 2))) (/.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (*.f64 (hypot.f64 b a) (sqrt.f64 2))))
	34.0b	(/.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))))
	26.9b	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
	15.4b	(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) 1/2)) 3) (-.f64 (/.f64 1 a) (/.f64 1 b)))
▶	32.6b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 1 b) b)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	26.9b	(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 a a)))
▶	28.4b	(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)

Compiler

Compiled 720 to 522 computations (27.5% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 a) (/.f64 1 b))
✓	0.1b	(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a))
✓	0.2b	(/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a))
✓	8.3b	(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))

Compiler

Compiled 66 to 35 computations (47% saved)

series23.0ms (0.2%)

Counts

4 → 78

Calls

24 calls:

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

rewrite101.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 253

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 a) (.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))) (.f64 (/.f64 -1 b) (.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 1/2 (+.f64 b a))) (/.f64 1 a)) (.f64 (.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 1/2 (+.f64 b a))) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (/.f64 (-.f64 b a) (+.f64 (/.f64 1 a) (/.f64 -1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 b a) (.f64 (.f64 (-.f64 b a) (/.f64 (+.f64 b a) (.f64 (PI.f64) 1/2))) (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 b a) (.f64 (.f64 b a) (.f64 (-.f64 b a) (/.f64 (+.f64 b a) (.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b a) (.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (+.f64 (/.f64 1 a) (/.f64 -1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (.f64 (-.f64 b a) (/.f64 (+.f64 b a) (.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a -3) (pow.f64 b -3)) (.f64 (.f64 (-.f64 b a) (/.f64 (+.f64 b a) (.f64 (PI.f64) 1/2))) (+.f64 (pow.f64 a -2) (+.f64 (pow.f64 b -2) (/.f64 1 (.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a -2) (pow.f64 b -2)) (.f64 (.f64 (-.f64 b a) (/.f64 (+.f64 b a) (.f64 (PI.f64) 1/2))) (+.f64 (/.f64 1 a) (/.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (+.f64 (/.f64 1 a) (/.f64 -1 b))) (-.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (+.f64 (/.f64 1 a) (/.f64 -1 b)))) (neg.f64 (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (PI.f64) 1/2) (-.f64 b a)) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (.f64 (PI.f64) -1/2) (+.f64 b a)) (-.f64 b a)) (.f64 (neg.f64 (-.f64 b a)) (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (PI.f64) 1/2) (-.f64 (pow.f64 a -3) (pow.f64 b -3))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (+.f64 (pow.f64 a -2) (+.f64 (pow.f64 b -2) (/.f64 1 (.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 (pow.f64 a -3) (pow.f64 b -3))) (.f64 (-.f64 b a) (+.f64 (pow.f64 a -2) (+.f64 (pow.f64 b -2) (/.f64 1 (.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (.f64 (PI.f64) -1/2) (+.f64 b a)) (-.f64 (pow.f64 a -3) (pow.f64 b -3))) (.f64 (neg.f64 (-.f64 b a)) (+.f64 (pow.f64 a -2) (+.f64 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(2) ((x /.f64 (.f64 (-.f64 (pow.f64 a -2) (pow.f64 b -2)) (.f64 (PI.f64) 1/2)) (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (-.f64 (.f64 b b) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 b a) (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a))) (.f64 (.f64 b a) (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 a -3) (pow.f64 b -3)) (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a))) (.f64 (+.f64 (pow.f64 a -2) (+.f64 (pow.f64 b -2) (/.f64 1 (.f64 b a)))) (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 a -2) (pow.f64 b -2)) (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a))) (.f64 (+.f64 (/.f64 1 a) (/.f64 1 b)) (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 a -3) (pow.f64 b -3)) 1) (.f64 (+.f64 (pow.f64 a -2) (+.f64 (pow.f64 b -2) (/.f64 1 (.f64 b a)))) (.f64 (-.f64 b a) (/.f64 (+.f64 b a) (.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 a 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simplify107.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

331 → 331

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
✓	0.6b	(/.f64 1/2 (.f64 a (.f64 b b)))
✓	9.9b	(.f64 a (.f64 b b))

Compiler

Compiled 30 to 11 computations (63.3% saved)

series21.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite88.0ms (0.9%)

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))))))))

simplify197.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

133 → 67

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))
✓	0.6b	(/.f64 (PI.f64) (*.f64 a a))
✓	3.5b	(.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))

Compiler

Compiled 41 to 22 computations (46.3% saved)

series8.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite94.0ms (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))))))

simplify65.0ms (0.7%)

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))

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (/.f64 1 a) (/.f64 1 b))
✓	0.1b	(/.f64 (/.f64 1 b) b)
✓	0.2b	(*.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 1 b) b))
✓	4.9b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 1 b) b)) (-.f64 (/.f64 1 a) (/.f64 1 b)))

Compiler

Compiled 54 to 37 computations (31.5% saved)

series8.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite84.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

Outputs

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

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

simplify115.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

185 → 148

Calls

Call 1

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

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

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (PI.f64) 1/2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (.f64 a a))))
	5.2b	(-.f64 (.f64 b b) (.f64 a a))
✓	9.1b	(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (.f64 a a)))
✓	22.2b	(sqrt.f64 (.f64 (.f64 (PI.f64) 1/2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (.f64 b b) (.f64 a a)))))

Compiler

Compiled 114 to 58 computations (49.1% saved)

series14.0ms (0.1%)

Counts

3 → 64

Calls

18 calls:

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

rewrite82.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

703×	`fma-def_binary64`
320×	`expm1-udef_binary64`
320×	`log1p-udef_binary64`
311×	`fma-neg_binary64`
273×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	82
1	381	49
2	5514	49

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

905×	`fma-def_binary64`
704×	`associate-l_binary64`
655×	`associate-r_binary64`
476×	`times-frac_binary64`
423×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	2493
1	593	2444
2	2134	2270

Stop Event

1×	node limit

Counts

156 → 154

Calls

Call 1

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

eval541.0ms (5.5%)

Compiler: Compiled 30244 to 18054 computations (40.3% saved)

prune238.0ms (2.4%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	1174	16	1190
Fresh	12	1	13
Picked	1	0	1
Done	4	0	4
Total	1191	17	1208

Error

Counts

1208 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	31.7b	(pow.f64 (sqrt.f64 (.f64 (/.f64 1/2 (.f64 b a)) (/.f64 (PI.f64) a))) 2)
	31.4b	(pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 1/2) (/.f64 1 (.f64 (.f64 b a) a)))) 2)
	43.0b	(pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))) a) 2)
	24.7b	(/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a) a)
	28.4b	(/.f64 1 (/.f64 (.f64 a a) (.f64 (PI.f64) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))))
▶	24.6b	(/.f64 1/2 (/.f64 b (/.f64 (/.f64 (PI.f64) a) b)))
▶	28.7b	(/.f64 (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) (/.f64 a (/.f64 (PI.f64) a)))
	26.9b	(.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (.f64 a a)))
▶	0.3b	(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (/.f64 (-.f64 b a) (+.f64 (/.f64 1 a) (/.f64 -1 b))))
	32.6b	(*.f64 (/.f64 (/.f64 (PI.f64) b) b) (+.f64 (/.f64 -1/2 b) (/.f64 1/2 a)))
▶	0.2b	(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
	24.2b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) b)
▶	24.2b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))
	20.3b	(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) (/.f64 -1 b))
	29.2b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 b b)) a)
	26.9b	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 1/2 b))
	26.9b	(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 a a)))

Compiler

Compiled 472 to 350 computations (25.8% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 33 to 15 computations (54.5% saved)

series10.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

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

Outputs

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

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

82 → 74

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 9 computations (67.9% saved)

series6.0ms (0.1%)

Counts

3 → 48

Calls

15 calls:

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

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

583×	`log-prod_binary64`
444×	`exp-prod_binary64`
339×	`pow-prod-down_binary64`
265×	`pow2_binary64`
212×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	196	30
2	2835	30

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

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

Outputs

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

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

simplify170.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

198 → 154

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 b (/.f64 (/.f64 (PI.f64) a) b))
✓	0.2b	(/.f64 (/.f64 (PI.f64) a) b)
	0.2b	(/.f64 (PI.f64) a)
✓	0.6b	(/.f64 1/2 (/.f64 b (/.f64 (/.f64 (PI.f64) a) b)))

Compiler

Compiled 30 to 9 computations (70% saved)

series20.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
10.0ms	a	@	-inf	(/.f64 1/2 (/.f64 b (/.f64 (/.f64 (PI.f64) a) b)))
2.0ms	a	@	inf	(/.f64 1/2 (/.f64 b (/.f64 (/.f64 (PI.f64) a) b)))
1.0ms	a	@	0	(/.f64 (/.f64 (PI.f64) a) b)
1.0ms	b	@	0	(/.f64 (/.f64 (PI.f64) a) b)
1.0ms	b	@	0	(/.f64 b (/.f64 (/.f64 (PI.f64) a) b))

rewrite90.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 143

Calls

Call 1

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

Outputs

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

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

simplify169.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

215 → 149

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))
✓	0.1b	(/.f64 a (/.f64 (PI.f64) a))
	0.2b	(/.f64 (PI.f64) a)
✓	4.2b	(/.f64 (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) (/.f64 a (/.f64 (PI.f64) a)))

Compiler

Compiled 41 to 22 computations (46.3% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

957×	`prod-diff_binary64`
301×	`fma-def_binary64`
255×	`expm1-udef_binary64`
255×	`log1p-udef_binary64`
209×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	284	28
2	4395	28

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

Outputs

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

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

simplify122.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

666×	`times-frac_binary64`
575×	`associate-/r*_binary64`
536×	`unswap-sqr_binary64`
437×	`associate-/l*_binary64`
402×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	621
1	40	621
2	100	531
3	280	531
4	1015	531
5	4854	531
6	6464	531
7	6702	531
8	6954	531
9	7245	531
10	7628	531

Stop Event

1×	node limit

Counts

123 → 94

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

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

localize25.0ms (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) 1/2) (+.f64 b a))
✓	0.2b	(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (/.f64 (-.f64 b a) (+.f64 (/.f64 1 a) (/.f64 -1 b))))
✓	0.2b	(/.f64 (-.f64 b a) (+.f64 (/.f64 1 a) (/.f64 -1 b)))

Compiler

Compiled 67 to 38 computations (43.3% saved)

series9.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite98.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	55
1	373	55
2	6060	55

Stop Event

1×	node limit

Counts

3 → 173

Calls

Call 1

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

Outputs

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

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	2217
1	586	1890
2	2901	1122

Stop Event

1×	node limit

Counts

245 → 211

Calls

Call 1

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

eval355.0ms (3.6%)

Compiler: Compiled 19281 to 9355 computations (51.5% saved)

prune202.0ms (2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	948	10	958
Fresh	8	4	12
Picked	1	0	1
Done	3	1	4
Total	960	15	975

Error

Counts

975 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.9b	(/.f64 (/.f64 1/2 b) (/.f64 a (/.f64 (PI.f64) a)))
	24.7b	(/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a) a)
	28.4b	(/.f64 1 (/.f64 (.f64 a a) (.f64 (PI.f64) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))))
	22.8b	(/.f64 (.f64 1/2 (/.f64 (PI.f64) a)) (.f64 b a))
	0.3b	(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 1/2 (+.f64 b a)))
	22.8b	(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b a))
	24.6b	(/.f64 1/2 (.f64 (.f64 b (/.f64 a (PI.f64))) b))
	24.2b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) b)
✓	24.2b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))
▶	24.2b	(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) 1/2) a) b)
	26.9b	(.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (.f64 a a)))
▶	26.2b	(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (/.f64 1/2 b))
	29.4b	(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
▶	0.3b	(.f64 (/.f64 1/2 (.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))
▶	22.7b	(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 a b))))

Compiler

Compiled 347 to 252 computations (27.4% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 12 computations (63.6% saved)

series9.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite81.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

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

Outputs

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

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

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

simplify93.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	1635
1	225	1602
2	764	1479
3	3439	1386
4	7557	1386

Stop Event

1×	node limit

Counts

213 → 173

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 a (.f64 a b))
✓	0.2b	(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 a b))))
✓	0.4b	(/.f64 1/2 (.f64 a (.f64 a b)))

Compiler

Compiled 30 to 11 computations (63.3% saved)

series11.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite105.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

959×	`pow1_binary64`
887×	`add-log-exp_binary64`
887×	`log1p-expm1-u_binary64`
887×	`expm1-log1p-u_binary64`
95×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	190	31
2	2410	31

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

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

Outputs

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

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

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

simplify250.0ms (2.5%)

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	744
1	24	744
2	56	744
3	151	744
4	499	744
5	2016	744
6	2787	744
7	3201	744
8	3316	744
9	3466	744
10	3644	744
11	5477	744
12	6021	744
13	6391	744
14	6847	744
15	7428	744

Stop Event

1×	node limit

Counts

136 → 70

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)))
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.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))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (PI.f64) a) a)
	0.2b	(/.f64 (PI.f64) a)
✓	6.8b	(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (/.f64 1/2 b))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series9.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	b	@	inf	(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (/.f64 1/2 b))
1.0ms	a	@	0	(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (/.f64 1/2 b))
1.0ms	a	@	inf	(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (/.f64 1/2 b))
1.0ms	a	@	-inf	(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (/.f64 1/2 b))
1.0ms	b	@	-inf	(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (/.f64 1/2 b))

rewrite84.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

565×	`log-prod_binary64`
424×	`exp-prod_binary64`
386×	`pow-prod-down_binary64`
272×	`pow2_binary64`
249×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	203	22
2	2958	22

Stop Event

1×	node limit

Counts

2 → 129

Calls

Call 1

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

Outputs

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

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

simplify166.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

910×	`associate-*r/_binary64`
829×	`associate-/r/_binary64`
665×	`*-commutative_binary64`
651×	`associate-*l/_binary64`
440×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	432
1	21	432
2	51	432
3	139	432
4	457	432
5	1872	432
6	3661	432
7	4075	432
8	4190	432
9	4341	432
10	4516	432
11	4767	432
12	6108	432
13	6752	432
14	7215	432
15	7800	432

Stop Event

1×	node limit

Counts

165 → 133

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(/.f64 a (/.f64 (PI.f64) a))
	0.2b	(/.f64 (PI.f64) a)
✓	7.2b	(/.f64 (/.f64 1/2 b) (/.f64 a (/.f64 (PI.f64) a)))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite65.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

623×	`log-prod_binary64`
337×	`pow-prod-down_binary64`
276×	`pow2_binary64`
247×	`log-div_binary64`
233×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	207	14
2	3141	14

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

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

Outputs

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

simplify139.0ms (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

88 → 66

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))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 30 to 14 computations (53.3% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite93.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`log-prod_binary64`
451×	`exp-prod_binary64`
349×	`pow-prod-down_binary64`
271×	`pow2_binary64`
223×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	200	25
2	2942	25

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

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

Outputs

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

simplify158.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

163 → 119

Calls

Call 1

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

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

eval214.0ms (2.2%)

Compiler: Compiled 10325 to 5186 computations (49.8% saved)

prune165.0ms (1.7%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	726	4	730
Fresh	5	4	9
Picked	0	1	1
Done	1	4	5
Total	732	13	745

Error

Counts

745 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	26.7b	(/.f64 (.f64 (PI.f64) 1/2) (.f64 (*.f64 a a) b))
	0.3b	(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) (+.f64 b a)))
	22.8b	(/.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b 2)) a)
	29.4b	(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 b b))))
	22.8b	(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b a))
	24.6b	(/.f64 1/2 (.f64 (.f64 b (/.f64 a (PI.f64))) b))
	24.2b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) b)
✓	24.2b	(.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))
✓	26.2b	(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (/.f64 1/2 b))
	26.9b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a a)) b)
✓	0.3b	(.f64 (/.f64 1/2 (.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))
✓	24.2b	(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) 1/2) a) b)
✓	22.7b	(.f64 (PI.f64) (/.f64 1/2 (.f64 a (*.f64 a b))))

Compiler

Compiled 147 to 106 computations (27.9% saved)

regimes170.0ms (1.7%)

Counts

50 → 1

Calls

Call 1

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

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

Calls

3 calls:

90.0ms	a
48.0ms	b
15.0ms	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

Results

Error	Segments	Branch
0.2b	1	`a`
0.2b	1	`b`
0.2b	1	`(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))`

Compiler

Compiled 719 to 377 computations (47.6% saved)

regimes46.0ms (0.5%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	b
12.0ms	a

Results

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

Compiler

Compiled 230 to 105 computations (54.3% saved)

regimes31.0ms (0.3%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	a
12.0ms	b

Results

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

Compiler

Compiled 219 to 102 computations (53.4% saved)

regimes108.0ms (1.1%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

2 calls:

69.0ms	b
34.0ms	a

Results

Error	Segments	Branch
5.3b	3	`a`
4.2b	3	`b`

Compiler

Compiled 197 to 92 computations (53.3% saved)

bsearch64.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	0.11857673086143837	0.42744988316830845
36.0ms	-8.727399046818619e+24	-374888225194823600.0

Compiler

Compiled 28 to 21 computations (25% saved)

regimes85.0ms (0.9%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

2 calls:

55.0ms	b
26.0ms	a

Results

Error	Segments	Branch
5.3b	3	`a`
4.2b	3	`b`

Compiler

Compiled 134 to 68 computations (49.3% saved)

bsearch65.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	0.11857673086143837	0.42744988316830845
28.0ms	-8.727399046818619e+24	-374888225194823600.0

Compiler

Compiled 28 to 21 computations (25% saved)

regimes63.0ms (0.6%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

2 calls:

35.0ms	b
24.0ms	a

Results

Error	Segments	Branch
5.3b	3	`a`
4.2b	3	`b`

Compiler

Compiled 125 to 64 computations (48.8% saved)

bsearch65.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	0.11857673086143837	0.42744988316830845
28.0ms	-8.727399046818619e+24	-374888225194823600.0

Compiler

Compiled 28 to 21 computations (25% saved)

regimes66.0ms (0.7%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

48.0ms	b
15.0ms	a

Results

Error	Segments	Branch
5.5b	3	`a`
4.6b	3	`b`

Compiler

Compiled 71 to 37 computations (47.9% saved)

bsearch62.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	0.11857673086143837	0.42744988316830845
32.0ms	-8.727399046818619e+24	-374888225194823600.0

Compiler

Compiled 28 to 21 computations (25% saved)

regimes11.0ms (0.1%)

Accuracy

Total -4.2b remaining (-18.6%)

Threshold costs -4.2b (-18.6%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	a
5.0ms	b

Results

Error	Segments	Branch
22.8b	1	`a`
22.8b	1	`b`

Compiler

Compiled 62 to 33 computations (46.8% saved)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	295
1	62	295

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
(.f64 (/.f64 1/2 (.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) (+.f64 b a)))
(if (<=.f64 b -8727399046818618603995136) (.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b))) (if (<=.f64 b 8544353934758167/72057594037927936) (/.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 b 2)) a) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) (*.f64 a b)) b)))
(if (<=.f64 b -8727399046818618603995136) (/.f64 (/.f64 (.f64 (/.f64 (PI.f64) b) 1/2) a) b) (if (<=.f64 b 8544353934758167/72057594037927936) (/.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 b 2)) a) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) b)))
(if (<=.f64 b -8727399046818618603995136) (/.f64 (/.f64 (.f64 (/.f64 (PI.f64) b) 1/2) a) b) (if (<=.f64 b 8544353934758167/72057594037927936) (/.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 b 2)) a) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) 1/2) a) b)))
(if (<=.f64 b -8727399046818618603995136) (/.f64 1/2 (.f64 (.f64 b (/.f64 a (PI.f64))) b)) (if (<=.f64 b 8544353934758167/72057594037927936) (/.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 b 2)) a) (/.f64 1/2 (.f64 (*.f64 b (/.f64 a (PI.f64))) b))))
(/.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b 2)) a)
(/.f64 (.f64 (PI.f64) 1/2) (.f64 (*.f64 a a) b))

Outputs
(/.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 b a)) (.f64 b a))
(.f64 (/.f64 1/2 (.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) (+.f64 b a)))
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 1/2 a) b))
(if (<=.f64 b -8727399046818618603995136) (.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 a b))) (if (<=.f64 b 8544353934758167/72057594037927936) (/.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 b 2)) a) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) (*.f64 a b)) b)))
(if (<=.f64 b -8727399046818618603995136) (.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (.f64 b a))) (if (<=.f64 b 8544353934758167/72057594037927936) (/.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 b 2)) a) (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (*.f64 b a)) b)))
(if (<=.f64 b -8727399046818618603995136) (/.f64 (/.f64 (.f64 (/.f64 (PI.f64) b) 1/2) a) b) (if (<=.f64 b 8544353934758167/72057594037927936) (/.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 b 2)) a) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) b)))
(if (<=.f64 b -8727399046818618603995136) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) a) b) (if (<=.f64 b 8544353934758167/72057594037927936) (/.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 b 2)) a) (/.f64 (/.f64 (.f64 (PI.f64) 1/2) (.f64 b a)) b)))
(if (<=.f64 b -8727399046818618603995136) (/.f64 (/.f64 (.f64 (/.f64 (PI.f64) b) 1/2) a) b) (if (<=.f64 b 8544353934758167/72057594037927936) (/.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 b 2)) a) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) 1/2) a) b)))
(if (<=.f64 b -8727399046818618603995136) (/.f64 (/.f64 (.f64 1/2 (/.f64 (PI.f64) b)) a) b) (if (<=.f64 b 8544353934758167/72057594037927936) (/.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 b 2)) a) (/.f64 (/.f64 (*.f64 1/2 (/.f64 (PI.f64) b)) a) b)))
(if (<=.f64 b -8727399046818618603995136) (/.f64 1/2 (.f64 (.f64 b (/.f64 a (PI.f64))) b)) (if (<=.f64 b 8544353934758167/72057594037927936) (/.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 b 2)) a) (/.f64 1/2 (.f64 (*.f64 b (/.f64 a (PI.f64))) b))))
(if (<=.f64 b -8727399046818618603995136) (/.f64 1/2 (.f64 b (.f64 b (/.f64 a (PI.f64))))) (if (<=.f64 b 8544353934758167/72057594037927936) (/.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 b 2)) a) (/.f64 1/2 (.f64 b (*.f64 b (/.f64 a (PI.f64)))))))
(/.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b 2)) a)
(/.f64 (.f64 (PI.f64) 1/2) (.f64 (*.f64 a a) b))
(/.f64 (.f64 (PI.f64) 1/2) (.f64 b (*.f64 a a)))

Compiler

Compiled 209 to 134 computations (35.9% saved)

soundness0.0ms (0%)

end159.0ms (1.6%)

Compiler: Compiled 193 to 98 computations (49.2% saved)