Details

analyze140.0ms (1.2%)

Algorithm

1×

Search

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

Compiler

Compiled 24 to 18 computations (25% saved)

sample1.3s (11.2%)

Results

1.2s	8256×	body	256	valid
89.0ms	723×	body	256	invalid

preprocess97.0ms (0.8%)

Algorithm

2×	egg-herbie

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

Compiler

Compiled 25 to 19 computations (24% saved)

simplify35.0ms (0.3%)

Algorithm

1×	egg-herbie

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

eval1.0ms (0%)

Compiler: Compiled 42 to 26 computations (38.1% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

8.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.1b	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) 1/2)) (.f64 (.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
▶	13.7b	(.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

▶

13.1b

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

▶

13.7b

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

Compiler

Compiled 44 to 29 computations (34.1% saved)

localize29.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	4.8b	(-.f64 (.f64 b b) (.f64 a a))
	0.8b	(/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))
	0.2b	(.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))))
	0.0b	(-.f64 (/.f64 1 a) (/.f64 1 b))
✓	0.2b	(.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))))
✓	0.8b	(/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))
✓	4.8b	(-.f64 (.f64 b b) (.f64 a a))
✓	7.5b	(.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)

series14.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite84.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

88×	`egg-rr`
71×	`egg-rr`
70×	`egg-rr`
39×	`egg-rr`

Counts

4 → 268

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

simplify502.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

364 → 321

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

localize17.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	11.5b	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) 1/2)) (.f64 (.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
	1.5b	(.f64 (.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))
	0.3b	(.f64 (-.f64 b a) (.f64 (PI.f64) 1/2))
✓	0.3b	(.f64 (-.f64 b a) (.f64 (PI.f64) 1/2))
✓	1.5b	(.f64 (.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))
✓	11.5b	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) 1/2)) (.f64 (.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))

Compiler

Compiled 62 to 18 computations (71% saved)

series14.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

178×	`egg-rr`
76×	`egg-rr`
48×	`egg-rr`

Counts

3 → 302

Calls

Call 1

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

Outputs
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Outputs

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

simplify339.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

374 → 336

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

eval186.0ms (1.6%)

Compiler: Compiled 16284 to 6512 computations (60% saved)

prune101.0ms (0.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	641	16	657
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	643	16	659

Error

0.0b

Counts

659 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	30.8b	(.f64 (/.f64 (.f64 -1/2 (PI.f64)) (*.f64 a a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
▶	0.7b	(.f64 (.f64 (PI.f64) 1/2) (/.f64 1 (.f64 (.f64 a b) (+.f64 a b))))
	0.7b	(/.f64 (.f64 (PI.f64) 1/2) (.f64 (*.f64 a b) (+.f64 a b)))
	24.0b	(/.f64 (.f64 1/2 (.f64 b (PI.f64))) (.f64 (.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
	29.2b	(/.f64 (.f64 1/2 (PI.f64)) (.f64 (*.f64 a a) b))
	30.8b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (neg.f64 (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
	28.9b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a a)) b)
▶	0.3b	(/.f64 (.f64 (/.f64 (-.f64 b a) (.f64 a b)) (/.f64 (*.f64 (PI.f64) 1/2) (-.f64 b a))) (+.f64 a b))
	29.2b	(.f64 (/.f64 (/.f64 (.f64 1/2 (PI.f64)) b) b) (-.f64 (/.f64 1 a) (/.f64 1 b)))
▶	25.3b	(/.f64 (.f64 -1/2 (.f64 a (PI.f64))) (.f64 (.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
	1.8b	(.f64 (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 a b) (+.f64 a b))) (/.f64 1/2 (-.f64 b a)))
▶	26.1b	(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
	13.9b	(/.f64 (.f64 (.f64 (.f64 (-.f64 b a) (PI.f64)) (cbrt.f64 1/2)) (cbrt.f64 1/4)) (.f64 (.f64 a b) (.f64 (+.f64 a b) (-.f64 b a))))
	29.5b	(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (*.f64 b b))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
▶	0.7b	(/.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (.f64 a b) (+.f64 a b))) (.f64 (PI.f64) 1/2)) (-.f64 b a))
	1.3b	(/.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 a b) (PI.f64)) -1/2) (*.f64 a b)) (+.f64 a b)) (-.f64 b a))

Compiler

Compiled 562 to 380 computations (32.4% saved)

localize19.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	11.1b	(/.f64 (-.f64 b a) (*.f64 a b))
	0.3b	(.f64 (/.f64 (-.f64 b a) (.f64 a b)) (/.f64 (*.f64 (PI.f64) 1/2) (-.f64 b a)))
	0.2b	(/.f64 (*.f64 (PI.f64) 1/2) (-.f64 b a))
	0.2b	(/.f64 (.f64 (/.f64 (-.f64 b a) (.f64 a b)) (/.f64 (*.f64 (PI.f64) 1/2) (-.f64 b a))) (+.f64 a b))
✓	0.2b	(/.f64 (.f64 (/.f64 (-.f64 b a) (.f64 a b)) (/.f64 (*.f64 (PI.f64) 1/2) (-.f64 b a))) (+.f64 a b))
✓	0.2b	(/.f64 (*.f64 (PI.f64) 1/2) (-.f64 b a))
✓	0.3b	(.f64 (/.f64 (-.f64 b a) (.f64 a b)) (/.f64 (*.f64 (PI.f64) 1/2) (-.f64 b a)))
✓	11.1b	(/.f64 (-.f64 b a) (*.f64 a b))

Compiler

Compiled 66 to 22 computations (66.7% saved)

series13.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

105×	`egg-rr`
93×	`egg-rr`
63×	`egg-rr`
45×	`egg-rr`

Counts

4 → 306

Calls

Call 1

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

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

simplify520.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

402 → 343

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	6.0b	(.f64 a (.f64 b b))
	0.5b	(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
✓	0.5b	(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
✓	6.0b	(.f64 a (.f64 b b))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite53.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

152×	`egg-rr`
38×	`egg-rr`

Counts

2 → 190

Calls

Call 1

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

Outputs
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Outputs

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(2) ((x /.f64 (*.f64 1/2 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (*.f64 a (*.f64 b b)) 2)))) (cbrt.f64 (*.f64 a (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 1/2 (PI.f64)) (cbrt.f64 a)) (pow.f64 b -2)) (cbrt.f64 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 b -2))) (/.f64 1/2 a)) (cbrt.f64 (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (/.f64 1/2 (cbrt.f64 (pow.f64 (*.f64 a (*.f64 b b)) 2)))) (cbrt.f64 (*.f64 a (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 1/8 a)) (/.f64 (/.f64 (PI.f64) b) b)) (cbrt.f64 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (PI.f64)) (/.f64 (neg.f64 (*.f64 a (*.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (/.f64 (*.f64 (*.f64 a (*.f64 b b)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (*.f64 (*.f64 b b) (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (*.f64 (*.f64 a 2) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (*.f64 2 (*.f64 a (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (PI.f64) b) -1/2) (neg.f64 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (PI.f64)) (*.f64 (neg.f64 (*.f64 b b)) (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 b -2))) (cbrt.f64 (/.f64 1/8 a))) (cbrt.f64 (pow.f64 (*.f64 a (*.f64 b b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (/.f64 (PI.f64) b)) (neg.f64 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 a 2) (neg.f64 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 1/8 a)) (*.f64 (PI.f64) (cbrt.f64 (pow.f64 b -2)))) (cbrt.f64 (pow.f64 (*.f64 a (*.f64 b b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (*.f64 a (*.f64 b b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 1/2 (PI.f64)) (cbrt.f64 (*.f64 a (*.f64 b b))))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 a (*.f64 b b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 (*.f64 1/2 (PI.f64)) a) (cbrt.f64 (pow.f64 b -2)))) (neg.f64 (cbrt.f64 (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a (*.f64 b b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (*.f64 1/2 (PI.f64)) a) (neg.f64 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) 3))))))

simplify238.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

238 → 192

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

localize16.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 45 to 17 computations (62.2% saved)

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite65.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

120×	`egg-rr`
75×	`egg-rr`
64×	`egg-rr`

Counts

3 → 259

Calls

Call 1

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

Outputs

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

simplify375.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

331 → 297

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	6.7b	(/.f64 (.f64 -1/2 (.f64 a (PI.f64))) (.f64 (.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
	1.5b	(.f64 (.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))
	0.4b	(.f64 -1/2 (.f64 a (PI.f64)))
	0.3b	(*.f64 a (PI.f64))
✓	0.3b	(*.f64 a (PI.f64))
✓	0.4b	(.f64 -1/2 (.f64 a (PI.f64)))
	1.5b	(.f64 (.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))
✓	6.7b	(/.f64 (.f64 -1/2 (.f64 a (PI.f64))) (.f64 (.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))

Compiler

Compiled 58 to 15 computations (74.1% saved)

series10.0ms (0.1%)

Counts

3 → 24

Calls

12 calls:

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

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

165×	`egg-rr`
37×	`egg-rr`
24×	`egg-rr`

Counts

3 → 226

Calls

Call 1

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

Outputs

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

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

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

simplify169.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

250 → 264

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (.f64 a (.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64))) (pow.f64 b 6))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 9))) (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 5)))))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (.f64 a (.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64))) (pow.f64 b 6)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 9))) (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 5)))))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64))) (pow.f64 b 6))) (.f64 1/2 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64)) (pow.f64 b 8)) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 5))) (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 9))))) (pow.f64 b 3)))))))))
(.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 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64)) (.f64 (pow.f64 a 3) (pow.f64 b 2)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 3)) (.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 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64)) (.f64 (pow.f64 a 3) (pow.f64 b 2))))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 3)) (.f64 b (PI.f64))) (pow.f64 a 4))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 3)) (.f64 b (PI.f64)))) b) (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (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 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64)) (.f64 (pow.f64 a 3) (pow.f64 b 2)))))))
(.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 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64)) (.f64 (pow.f64 a 3) (pow.f64 b 2)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 3)) (.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 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64)) (.f64 (pow.f64 a 3) (pow.f64 b 2))))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 3)) (.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 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64)) (.f64 (pow.f64 a 3) (pow.f64 b 2)))) (.f64 -1/2 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 3)) (.f64 b (PI.f64)))) b) (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64))) (pow.f64 a 5))))))
(.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 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4))))
(+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 a (.f64 -1 a)) 2) (PI.f64)) (pow.f64 a 6)) (/.f64 (PI.f64) (pow.f64 a 4))) b)) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4)))))
(+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 a (.f64 -1 a)) 2) (PI.f64)) (pow.f64 a 6)) (/.f64 (PI.f64) (pow.f64 a 4))) b)) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 a 6)) (/.f64 (.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 a (.f64 -1 a)) 2) (PI.f64)) (pow.f64 a 6)) (/.f64 (PI.f64) (pow.f64 a 4))) (+.f64 a (.f64 -1 a))) (pow.f64 a 2))) (pow.f64 b 2))) (.f64 1/2 (/.f64 (.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4))))))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 b 4))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.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 5))) (.f64 1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 b 4)))))
(+.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 6))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.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 5))) (.f64 1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 b 4))))))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 b 4))))
(+.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 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 b 4)))))
(+.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 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 b 4))) (.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 6))))))

Outputs
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))
(/.f64 (*.f64 -1/2 (PI.f64)) (pow.f64 b 3))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (.f64 a (.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64))) (pow.f64 b 6))))
(fma.f64 (/.f64 (.f64 0 (PI.f64)) (pow.f64 b 6)) 1/2 (/.f64 (.f64 -1/2 (PI.f64)) (pow.f64 b 3)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 9))) (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 5)))))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (.f64 a (.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64))) (pow.f64 b 6)))))
(fma.f64 1/2 (.f64 (.f64 a a) (-.f64 (/.f64 (.f64 0 (PI.f64)) (pow.f64 b 9)) (/.f64 (PI.f64) (pow.f64 b 5)))) (fma.f64 (/.f64 (.f64 0 (PI.f64)) (pow.f64 b 6)) 1/2 (/.f64 (*.f64 -1/2 (PI.f64)) (pow.f64 b 3))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 9))) (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 5)))))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64))) (pow.f64 b 6))) (.f64 1/2 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64)) (pow.f64 b 8)) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (+.f64 (.f64 -1 (/.f64 (PI.f64) (pow.f64 b 5))) (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 9))))) (pow.f64 b 3)))))))))
(fma.f64 (.f64 (.f64 a a) (-.f64 (/.f64 (.f64 0 (PI.f64)) (pow.f64 b 9)) (/.f64 (PI.f64) (pow.f64 b 5)))) 1/2 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (fma.f64 (.f64 0 (PI.f64)) (pow.f64 b (neg.f64 6)) (.f64 (pow.f64 a 3) (fma.f64 (.f64 0 (PI.f64)) (pow.f64 b (neg.f64 8)) (/.f64 (.f64 0 (-.f64 (/.f64 (*.f64 0 (PI.f64)) (pow.f64 b 9)) (/.f64 (PI.f64) (pow.f64 b 5)))) (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 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64)) (.f64 (pow.f64 a 3) (pow.f64 b 2)))))
(.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 (.f64 a a) b)) (/.f64 (.f64 0 (/.f64 (PI.f64) (*.f64 b b))) (pow.f64 a 3))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 3)) (.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 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64)) (.f64 (pow.f64 a 3) (pow.f64 b 2))))))
(.f64 1/2 (+.f64 (+.f64 (/.f64 (PI.f64) (.f64 (.f64 a a) b)) (/.f64 (.f64 0 (/.f64 (PI.f64) (.f64 b b))) (pow.f64 a 3))) (/.f64 (fma.f64 (PI.f64) b (/.f64 (.f64 0 (PI.f64)) (pow.f64 b 3))) (pow.f64 a 4))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 3)) (.f64 b (PI.f64))) (pow.f64 a 4))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 3)) (.f64 b (PI.f64)))) b) (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (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 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64)) (.f64 (pow.f64 a 3) (pow.f64 b 2)))))))
(fma.f64 1/2 (/.f64 (fma.f64 (PI.f64) b (/.f64 (.f64 0 (PI.f64)) (pow.f64 b 3))) (pow.f64 a 4)) (.f64 1/2 (+.f64 (/.f64 (fma.f64 (PI.f64) 0 (/.f64 (.f64 0 (fma.f64 (PI.f64) b (/.f64 (.f64 0 (PI.f64)) (pow.f64 b 3)))) b)) (pow.f64 a 5)) (+.f64 (/.f64 (PI.f64) (.f64 (.f64 a a) b)) (/.f64 (.f64 0 (/.f64 (PI.f64) (.f64 b b))) (pow.f64 a 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 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64)) (.f64 (pow.f64 a 3) (pow.f64 b 2)))))
(fma.f64 -1/2 (/.f64 (.f64 0 (/.f64 (PI.f64) (.f64 b b))) (pow.f64 a 3)) (/.f64 (.f64 1/2 (PI.f64)) (.f64 (*.f64 a a) b)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 3)) (.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 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64)) (.f64 (pow.f64 a 3) (pow.f64 b 2))))))
(+.f64 (.f64 1/2 (+.f64 (/.f64 (fma.f64 (PI.f64) b (/.f64 (.f64 0 (PI.f64)) (pow.f64 b 3))) (pow.f64 a 4)) (/.f64 (PI.f64) (.f64 (.f64 a a) b)))) (/.f64 (.f64 -1/2 (.f64 0 (PI.f64))) (.f64 (pow.f64 a 3) (.f64 b b))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 3)) (.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 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64)) (.f64 (pow.f64 a 3) (pow.f64 b 2)))) (.f64 -1/2 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) 2) (PI.f64)) (pow.f64 b 3)) (.f64 b (PI.f64)))) b) (.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (PI.f64))) (pow.f64 a 5))))))
(+.f64 (.f64 1/2 (+.f64 (/.f64 (fma.f64 (PI.f64) b (/.f64 (.f64 0 (PI.f64)) (pow.f64 b 3))) (pow.f64 a 4)) (/.f64 (PI.f64) (.f64 (.f64 a a) b)))) (.f64 -1/2 (fma.f64 (/.f64 0 (pow.f64 a 3)) (/.f64 (PI.f64) (.f64 b b)) (/.f64 (fma.f64 (PI.f64) 0 (/.f64 (.f64 0 (fma.f64 (PI.f64) b (/.f64 (.f64 0 (PI.f64)) (pow.f64 b 3)))) b)) (pow.f64 a 5)))))
(.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 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4))))
(.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 (.f64 a a) b)) (/.f64 (.f64 0 (PI.f64)) (pow.f64 a 4))))
(+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 a (.f64 -1 a)) 2) (PI.f64)) (pow.f64 a 6)) (/.f64 (PI.f64) (pow.f64 a 4))) b)) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (.f64 1/2 (/.f64 (.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4)))))
(.f64 1/2 (+.f64 (.f64 (fma.f64 (PI.f64) (pow.f64 a (neg.f64 4)) (/.f64 (.f64 0 (PI.f64)) (pow.f64 a 6))) b) (+.f64 (/.f64 (PI.f64) (.f64 (.f64 a a) b)) (/.f64 (.f64 0 (PI.f64)) (pow.f64 a 4)))))
(+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 a (.f64 -1 a)) 2) (PI.f64)) (pow.f64 a 6)) (/.f64 (PI.f64) (pow.f64 a 4))) b)) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 a 2) b))) (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 a 6)) (/.f64 (.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 a (.f64 -1 a)) 2) (PI.f64)) (pow.f64 a 6)) (/.f64 (PI.f64) (pow.f64 a 4))) (+.f64 a (.f64 -1 a))) (pow.f64 a 2))) (pow.f64 b 2))) (.f64 1/2 (/.f64 (.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4))))))
(fma.f64 1/2 (.f64 (fma.f64 (PI.f64) (pow.f64 a (neg.f64 4)) (/.f64 (.f64 0 (PI.f64)) (pow.f64 a 6))) b) (.f64 1/2 (+.f64 (/.f64 (PI.f64) (.f64 (.f64 a a) b)) (fma.f64 (fma.f64 (.f64 (fma.f64 (PI.f64) (pow.f64 a (neg.f64 4)) (/.f64 (.f64 0 (PI.f64)) (pow.f64 a 6))) 0) (pow.f64 a (neg.f64 2)) (/.f64 (.f64 0 (PI.f64)) (pow.f64 a 6))) (.f64 b b) (/.f64 (.f64 0 (PI.f64)) (pow.f64 a 4))))))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))
(/.f64 (*.f64 -1/2 (PI.f64)) (pow.f64 b 3))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 b 4))))
(fma.f64 (/.f64 (.f64 0 (PI.f64)) (pow.f64 b 4)) 1/2 (/.f64 (.f64 -1/2 (PI.f64)) (pow.f64 b 3)))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.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 5))) (.f64 1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 b 4)))))
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (fma.f64 (.f64 (neg.f64 (PI.f64)) (fma.f64 a a 0)) (pow.f64 b (neg.f64 5)) (/.f64 (*.f64 0 (PI.f64)) (pow.f64 b 4)))))
(+.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 6))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.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 5))) (.f64 1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 b 4))))))
(fma.f64 1/2 (/.f64 (fma.f64 (.f64 (PI.f64) (fma.f64 a a 0)) 0 (.f64 0 (PI.f64))) (pow.f64 b 6)) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (.f64 1/2 (fma.f64 (.f64 (neg.f64 (PI.f64)) (fma.f64 a a 0)) (pow.f64 b (neg.f64 5)) (/.f64 (*.f64 0 (PI.f64)) (pow.f64 b 4))))))
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))
(/.f64 (*.f64 -1/2 (PI.f64)) (pow.f64 b 3))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 b 4))))
(fma.f64 (/.f64 (.f64 0 (PI.f64)) (pow.f64 b 4)) 1/2 (/.f64 (.f64 -1/2 (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 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (.f64 1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 b 4)))))
(+.f64 (.f64 -1/2 (+.f64 (/.f64 (.f64 (PI.f64) (fma.f64 a a 0)) (pow.f64 b 5)) (/.f64 (PI.f64) (pow.f64 b 3)))) (/.f64 (.f64 1/2 (.f64 0 (PI.f64))) (pow.f64 b 4)))
(+.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 5))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (PI.f64)) (pow.f64 b 4))) (.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 6))))))
(+.f64 (.f64 -1/2 (+.f64 (/.f64 (.f64 (PI.f64) (fma.f64 a a 0)) (pow.f64 b 5)) (/.f64 (PI.f64) (pow.f64 b 3)))) (.f64 1/2 (fma.f64 (.f64 0 (PI.f64)) (pow.f64 b (neg.f64 4)) (/.f64 (fma.f64 (.f64 (PI.f64) (fma.f64 a a 0)) 0 (.f64 0 (PI.f64))) (pow.f64 b 6)))))

localize19.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	15.4b	(/.f64 (-.f64 b a) (.f64 (.f64 a b) (+.f64 a b)))
	0.2b	(.f64 (/.f64 (-.f64 b a) (.f64 (.f64 a b) (+.f64 a b))) (.f64 (PI.f64) 1/2))
	0.1b	(/.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (.f64 a b) (+.f64 a b))) (.f64 (PI.f64) 1/2)) (-.f64 b a))
	0.1b	(.f64 (.f64 a b) (+.f64 a b))
	0.1b	(.f64 (.f64 a b) (+.f64 a b))
✓	0.1b	(/.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (.f64 a b) (+.f64 a b))) (.f64 (PI.f64) 1/2)) (-.f64 b a))
✓	0.2b	(.f64 (/.f64 (-.f64 b a) (.f64 (.f64 a b) (+.f64 a b))) (.f64 (PI.f64) 1/2))
✓	15.4b	(/.f64 (-.f64 b a) (.f64 (.f64 a b) (+.f64 a b)))

Compiler

Compiled 70 to 18 computations (74.3% saved)

series11.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

127×	`egg-rr`
78×	`egg-rr`
64×	`egg-rr`

Counts

3 → 269

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify493.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

341 → 331

Calls

Call 1

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

eval503.0ms (4.3%)

Compiler: Compiled 36636 to 13593 computations (62.9% saved)

prune248.0ms (2.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	1575	12	1587
Fresh	9	2	11
Picked	1	0	1
Done	3	1	4
Total	1588	15	1603

Error

Counts

1603 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	22.6b	(/.f64 (.f64 1/2 (PI.f64)) (.f64 (*.f64 a b) b))
✓	26.1b	(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
	0.3b	(/.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 a b)) (+.f64 a b)) (*.f64 (PI.f64) 1/2)) (-.f64 b a))
	0.3b	(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 1/2 (.f64 a b)))
	0.7b	(.f64 (PI.f64) (/.f64 1/2 (.f64 (*.f64 a b) (+.f64 a b))))
	4.5b	(.f64 (.f64 (PI.f64) 1/2) (/.f64 (*.f64 (/.f64 1 a) (/.f64 1 (+.f64 a b))) b))
	30.8b	(.f64 (/.f64 (.f64 -1/2 (PI.f64)) (*.f64 a a)) (-.f64 (/.f64 1 a) (/.f64 1 b)))
▶	3.4b	(/.f64 (.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 a b)) (/.f64 1 b)) a)
	22.7b	(/.f64 (/.f64 (/.f64 (*.f64 1/2 (PI.f64)) a) b) b)
▶	22.7b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) b) (.f64 a b))
	29.2b	(/.f64 (.f64 1/2 (PI.f64)) (.f64 (*.f64 a a) b))
▶	0.3b	(/.f64 (.f64 (/.f64 1/2 (.f64 a b)) (PI.f64)) (+.f64 a b))
▶	3.7b	(.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (.f64 b (+.f64 a b))))
	28.9b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a a)) b)
▶	22.7b	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 a b)) 1/2) b)

Compiler

Compiled 387 to 274 computations (29.2% saved)

localize15.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 35 to 15 computations (57.1% saved)

series12.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	a	@	0	(/.f64 1/2 (*.f64 a b))
1.0ms	a	@	inf	(/.f64 1/2 (*.f64 a b))
1.0ms	b	@	inf	(/.f64 1/2 (*.f64 a b))
0.0ms	b	@	0	(/.f64 1/2 (*.f64 a b))
0.0ms	a	@	-inf	(/.f64 1/2 (*.f64 a b))

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

98×	`egg-rr`
85×	`egg-rr`
82×	`egg-rr`

Counts

3 → 265

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) 0) (/.f64 1/2 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (*.f64 a b)) (*.f64 (/.f64 1/2 (*.f64 a b)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 1/2 (*.f64 a b))) (/.f64 1/2 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (*.f64 a b)) (*.f64 0 (/.f64 1/2 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (*.f64 a b)) (/.f64 0 (*.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 -1/2 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (*.f64 a b))) (/.f64 (/.f64 -1/2 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (*.f64 (*.f64 a b) 2)) (/.f64 (/.f64 -1/2 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 -1 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (*.f64 a b))) (cbrt.f64 (/.f64 1/4 (pow.f64 (*.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) b) (/.f64 (cbrt.f64 1/4) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) a) (/.f64 (cbrt.f64 1/4) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 (*.f64 a b))) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (pow.f64 (*.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) b) (/.f64 (sqrt.f64 1/2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) a) (/.f64 (sqrt.f64 1/2) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (*.f64 a b))) (cbrt.f64 (pow.f64 (/.f64 1/2 (*.f64 a b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 1/2 (*.f64 a b)) 2)) (cbrt.f64 (/.f64 1/2 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.f64 a b))) (/.f64 1/2 (cbrt.f64 (pow.f64 (*.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 a b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/4) b) (/.f64 (cbrt.f64 1/2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 a b)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 (*.f64 a b) 2))) (cbrt.f64 (/.f64 1 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/4) a) (/.f64 (cbrt.f64 1/2) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 b) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 (*.f64 a b) 2))) (cbrt.f64 (/.f64 1/2 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (*.f64 a b)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 (pow.f64 (*.f64 a b) 2))) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/8 (*.f64 a b))) (pow.f64 (cbrt.f64 (*.f64 a b)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 a) (cbrt.f64 b)) (/.f64 1 (cbrt.f64 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 a) (/.f64 -1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (/.f64 (/.f64 (cbrt.f64 1/4) a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 -1/2 a) b))))) 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(#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (/.f64 -1/2 a) b) (/.f64 (PI.f64) (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) -1/2) (*.f64 a b)) (+.f64 a b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a b) (+.f64 a b))) 3))))))

simplify242.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

313 → 281

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

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

localize16.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.6b	(/.f64 (PI.f64) (*.f64 a b))
	0.1b	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 a b)) 1/2) b)
	0.0b	(.f64 (/.f64 (PI.f64) (.f64 a b)) 1/2)
✓	0.0b	(.f64 (/.f64 (PI.f64) (.f64 a b)) 1/2)
✓	0.1b	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 a b)) 1/2) b)
✓	0.6b	(/.f64 (PI.f64) (*.f64 a b))

Compiler

Compiled 30 to 11 computations (63.3% saved)

series5.0ms (0%)

Counts

3 → 48

Calls

18 calls:

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

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

92×	`egg-rr`
87×	`egg-rr`
78×	`egg-rr`

Counts

3 → 257

Calls

Call 1

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

Outputs

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

simplify208.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

305 → 260

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 26 to 14 computations (46.2% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite52.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

124×	`egg-rr`
68×	`egg-rr`

Counts

2 → 192

Calls

Call 1

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

Outputs

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

simplify164.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

228 → 194

Calls

Call 1

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

localize11.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	3.3b	(.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (.f64 b (+.f64 a b))))
	1.1b	(/.f64 (PI.f64) (*.f64 b (+.f64 a b)))
	0.0b	(*.f64 b (+.f64 a b))
✓	0.0b	(*.f64 b (+.f64 a b))
✓	1.1b	(/.f64 (PI.f64) (*.f64 b (+.f64 a b)))
✓	3.3b	(.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (.f64 b (+.f64 a b))))

Compiler

Compiled 35 to 12 computations (65.7% saved)

series7.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

129×	`egg-rr`
72×	`egg-rr`
48×	`egg-rr`

Counts

3 → 249

Calls

Call 1

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

Outputs

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

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

simplify356.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

321 → 285

Calls

Call 1

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

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

localize23.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	3.3b	(/.f64 (.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 a b)) (/.f64 1 b)) a)
	0.3b	(.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 a b)) (/.f64 1 b))
	0.2b	(/.f64 (*.f64 (PI.f64) 1/2) (+.f64 a b))
✓	0.2b	(/.f64 (*.f64 (PI.f64) 1/2) (+.f64 a b))
✓	0.3b	(.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 a b)) (/.f64 1 b))
✓	3.3b	(/.f64 (.f64 (/.f64 (.f64 (PI.f64) 1/2) (+.f64 a b)) (/.f64 1 b)) a)

Compiler

Compiled 47 to 26 computations (44.7% saved)

series7.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite64.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

80×	`egg-rr`
67×	`egg-rr`
46×	`egg-rr`

Counts

3 → 193

Calls

Call 1

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

Outputs

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

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

simplify405.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

265 → 241

Calls

Call 1

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

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

eval305.0ms (2.6%)

Compiler: Compiled 20404 to 9634 computations (52.8% saved)

prune189.0ms (1.6%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	1255	6	1261
Fresh	6	3	9
Picked	1	0	1
Done	1	4	5
Total	1263	13	1276

Error

Counts

1276 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	22.6b	(/.f64 (PI.f64) (/.f64 (.f64 b (.f64 a b)) 1/2))
▶	24.4b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) a)
▶	0.3b	(/.f64 (*.f64 (/.f64 (/.f64 1/2 b) a) (PI.f64)) (+.f64 a b))
✓	22.7b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) b) (.f64 a b))
	24.4b	(.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (.f64 a b)))
▶	22.7b	(/.f64 (/.f64 (/.f64 (*.f64 1/2 (PI.f64)) a) b) b)
✓	22.7b	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 a b)) 1/2) b)
	4.5b	(*.f64 (/.f64 (/.f64 1/2 a) (+.f64 a b)) (/.f64 (PI.f64) b))
	29.2b	(/.f64 (.f64 1/2 (PI.f64)) (.f64 (*.f64 a a) b))
✓	0.3b	(/.f64 (.f64 (/.f64 1/2 (.f64 a b)) (PI.f64)) (+.f64 a b))
▶	0.3b	(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) (+.f64 a b)))
✓	26.1b	(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
▶	28.9b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a a)) b)

Compiler

Compiled 256 to 183 computations (28.5% saved)

localize14.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 35 to 19 computations (45.7% saved)

series9.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	b	@	0	(*.f64 (/.f64 (/.f64 1/2 b) a) (PI.f64))
0.0ms	b	@	-inf	(/.f64 (*.f64 (/.f64 (/.f64 1/2 b) a) (PI.f64)) (+.f64 a b))
0.0ms	b	@	0	(/.f64 (*.f64 (/.f64 (/.f64 1/2 b) a) (PI.f64)) (+.f64 a b))
0.0ms	b	@	inf	(*.f64 (/.f64 (/.f64 1/2 b) a) (PI.f64))
0.0ms	a	@	-inf	(/.f64 (*.f64 (/.f64 (/.f64 1/2 b) a) (PI.f64)) (+.f64 a b))

rewrite58.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

92×	`egg-rr`
88×	`egg-rr`
76×	`egg-rr`

Counts

3 → 256

Calls

Call 1

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

Outputs

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

simplify303.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

328 → 273

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

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

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	8.1b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a a)) b)
	0.4b	(/.f64 (.f64 1/2 (PI.f64)) (.f64 a a))
✓	0.4b	(/.f64 (.f64 1/2 (PI.f64)) (.f64 a a))
✓	8.1b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a a)) b)

Compiler

Compiled 28 to 14 computations (50% saved)

series5.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

101×	`egg-rr`
94×	`egg-rr`

Counts

2 → 195

Calls

Call 1

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

Outputs

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((x /.f64 (*.f64 (*.f64 (*.f64 1/2 (PI.f64)) (cbrt.f64 (pow.f64 a -2))) 1) (cbrt.f64 (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 -1/2 (PI.f64)) a) 1) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 a 4)))) (cbrt.f64 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 1/2 (PI.f64)) (cbrt.f64 a)) (/.f64 1 a)) (cbrt.f64 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 1/8 a)) (/.f64 (PI.f64) a)) (cbrt.f64 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 -1/2 (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a a)) 2))) (cbrt.f64 (neg.f64 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 -1/2 (PI.f64))) (cbrt.f64 (/.f64 (*.f64 1/4 (*.f64 (PI.f64) (PI.f64))) (pow.f64 a 4)))) (cbrt.f64 (neg.f64 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a a)) 2))) (cbrt.f64 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (/.f64 (*.f64 1/4 (*.f64 (PI.f64) (PI.f64))) (pow.f64 a 4)))) (cbrt.f64 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 1/2 (PI.f64)) a)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a a)) 2))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 1/2 (PI.f64)) a)) (cbrt.f64 (/.f64 (*.f64 1/4 (*.f64 (PI.f64) (PI.f64))) (pow.f64 a 4)))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) (*.f64 a a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 (PI.f64)) (cbrt.f64 (pow.f64 a 4))) (cbrt.f64 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (/.f64 1/2 (cbrt.f64 (pow.f64 a 4)))) (cbrt.f64 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (PI.f64) (cbrt.f64 a)) (/.f64 1/2 a)) (cbrt.f64 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (/.f64 (*.f64 (*.f64 a a) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (PI.f64)) (/.f64 (neg.f64 (*.f64 a a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 1/2 (PI.f64)) (cbrt.f64 (pow.f64 a -2)))) (neg.f64 (cbrt.f64 (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 (*.f64 1/2 (PI.f64)) a) (cbrt.f64 a))) (cbrt.f64 (neg.f64 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (*.f64 a a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a a))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a a))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a a)) 3))))))

simplify164.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

231 → 197

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 30 to 18 computations (40% saved)

series4.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

89×	`egg-rr`
79×	`egg-rr`
68×	`egg-rr`

Counts

3 → 236

Calls

Call 1

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

Outputs

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

simplify270.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

296 → 239

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 28 to 14 computations (50% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite512.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

112×	`egg-rr`
91×	`egg-rr`

Counts

2 → 203

Calls

Call 1

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

Outputs

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

simplify225.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

251 → 205

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 33 to 15 computations (54.5% saved)

series9.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite64.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

70×	`egg-rr`
67×	`egg-rr`
36×	`egg-rr`

Counts

3 → 173

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (*.f64 a b)) (*.f64 (/.f64 1/2 (*.f64 a b)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) 0) (/.f64 1/2 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (*.f64 a b)) (*.f64 0 (/.f64 1/2 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 1/2 (*.f64 a b))) (/.f64 1/2 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (*.f64 a b))) (/.f64 (/.f64 -1/2 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 -1/2 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 b)) (/.f64 (/.f64 -1/2 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 a)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 1/2 a) 2)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/8 b)) (/.f64 (/.f64 1 a) (cbrt.f64 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 b) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 a) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/2 a) (cbrt.f64 b)) (cbrt.f64 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (neg.f64 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/2 a) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 b) (*.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 b) -1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 b) (cbrt.f64 (/.f64 1/8 a))) (cbrt.f64 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 b) 1/2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 1/2 (*.f64 a b))) (cbrt.f64 (pow.f64 (/.f64 1/2 a) 2))) (cbrt.f64 (*.f64 b b)))))) (#(struct:change #<rule 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b))) (neg.f64 (cbrt.f64 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (*.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/2 (*.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/2 (*.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/2 (*.f64 a b))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/2 (*.f64 a b))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1/2 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 -1/2 a) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (/.f64 -1/2 a) b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1/2 (/.f64 (/.f64 1 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1 b) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (/.f64 -1/2 a) b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/2 (*.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 1/2 (*.f64 a b)) 3) 1))))))

simplify352.0ms (3%)

Algorithm

1×	egg-herbie

Counts

245 → 203

Calls

Call 1

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

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

eval280.0ms (2.4%)

Compiler: Compiled 17478 to 8802 computations (49.6% saved)

prune168.0ms (1.4%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	1111	6	1117
Fresh	3	1	4
Picked	1	0	1
Done	3	5	8
Total	1118	12	1130

Error

Counts

1130 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	22.6b	(/.f64 (PI.f64) (/.f64 (.f64 b (.f64 a b)) 1/2))
	24.4b	(.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (.f64 a b)))
✓	0.3b	(/.f64 (*.f64 (/.f64 (/.f64 1/2 b) a) (PI.f64)) (+.f64 a b))
✓	22.7b	(/.f64 (/.f64 (/.f64 (*.f64 1/2 (PI.f64)) a) b) b)
✓	22.7b	(/.f64 (/.f64 (.f64 1/2 (PI.f64)) b) (.f64 a b))
	24.7b	(/.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a 2)) a)
	28.9b	(/.f64 (.f64 (PI.f64) (/.f64 1/2 (.f64 a a))) b)
	24.4b	(/.f64 (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) a)) a)
✓	26.1b	(/.f64 (.f64 1/2 (PI.f64)) (.f64 a (*.f64 b b)))
	24.4b	(/.f64 (.f64 (/.f64 1/2 (.f64 a b)) (PI.f64)) a)
	24.4b	(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) a))
✓	22.7b	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 a b)) 1/2) b)

Compiler

Compiled 134 to 97 computations (27.6% saved)

regimes64.0ms (0.6%)

Counts

42 → 1

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	a
19.0ms	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
0.3b	1	`a`
0.3b	1	`b`
0.3b	1	`(.f64 (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))`

Compiler

Compiled 570 to 254 computations (55.4% saved)

regimes34.0ms (0.3%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	a
10.0ms	b

Results

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

Compiler

Compiled 216 to 100 computations (53.7% saved)

regimes67.0ms (0.6%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

2 calls:

34.0ms	a
29.0ms	b

Results

Error	Segments	Branch
6.1b	3	`a`
5.1b	3	`b`

Compiler

Compiled 161 to 78 computations (51.6% saved)

bsearch57.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	3.3541544081358155e+29	4.3377164931221145e+31
29.0ms	-5967.678746111406	-1.1991461144885281e-11

Compiler

Compiled 28 to 21 computations (25% saved)

regimes58.0ms (0.5%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	b
24.0ms	a

Results

Error	Segments	Branch
6.1b	3	`a`
5.2b	3	`b`

Compiler

Compiled 107 to 55 computations (48.6% saved)

bsearch56.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	3.3541544081358155e+29	4.3377164931221145e+31
28.0ms	-5967.678746111406	-1.1991461144885281e-11

Compiler

Compiled 28 to 21 computations (25% saved)

regimes49.0ms (0.4%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	a
20.0ms	b

Results

Error	Segments	Branch
6.1b	3	`a`
5.3b	3	`b`

Compiler

Compiled 98 to 50 computations (49% saved)

bsearch57.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	3.3541544081358155e+29	4.3377164931221145e+31
29.0ms	-5967.678746111406	-1.1991461144885281e-11

Compiler

Compiled 28 to 21 computations (25% saved)

regimes39.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	a
14.0ms	b

Results

Error	Segments	Branch
6.1b	3	`a`
5.3b	3	`b`

Compiler

Compiled 71 to 39 computations (45.1% saved)

bsearch56.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	3.3541544081358155e+29	4.3377164931221145e+31
28.0ms	-5967.678746111406	-1.1991461144885281e-11

Compiler

Compiled 28 to 21 computations (25% saved)

regimes11.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	a
4.0ms	b

Results

Error	Segments	Branch
24.4b	1	`a`
24.4b	1	`b`

Compiler

Compiled 62 to 35 computations (43.5% saved)

regimes12.0ms (0.1%)

Accuracy

Total -4.6b remaining (-18.9%)

Threshold costs -4.6b (-18.9%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	b
4.0ms	a

Results

Error	Segments	Branch
24.4b	1	`a`
24.4b	1	`b`

Compiler

Compiled 44 to 27 computations (38.6% saved)

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Stop Event

1×

fuel

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 1/2 (.f64 a b)) (PI.f64)) (+.f64 a b))
(/.f64 (*.f64 (/.f64 (/.f64 1/2 b) a) (PI.f64)) (+.f64 a b))
(if (<=.f64 b -6561532172181191/1099511627776) (/.f64 (PI.f64) (/.f64 (.f64 b (.f64 a b)) 1/2)) (if (<=.f64 b 335415440813581551985823318016) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) a) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) b) (.f64 a b))))
(if (<=.f64 b -6561532172181191/1099511627776) (/.f64 (PI.f64) (/.f64 (.f64 b (.f64 a b)) 1/2)) (if (<=.f64 b 335415440813581551985823318016) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) a) (/.f64 (/.f64 (/.f64 (*.f64 1/2 (PI.f64)) a) b) b)))
(if (<=.f64 b -6561532172181191/1099511627776) (/.f64 (PI.f64) (/.f64 (.f64 b (.f64 a b)) 1/2)) (if (<=.f64 b 335415440813581551985823318016) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) a) (/.f64 (PI.f64) (/.f64 (.f64 b (.f64 a b)) 1/2))))
(if (<=.f64 b -6561532172181191/1099511627776) (/.f64 (PI.f64) (/.f64 (.f64 b (.f64 a b)) 1/2)) (if (<=.f64 b 335415440813581551985823318016) (/.f64 (.f64 (/.f64 1/2 (.f64 a b)) (PI.f64)) a) (/.f64 (PI.f64) (/.f64 (.f64 b (.f64 a b)) 1/2))))
(/.f64 (.f64 (/.f64 1/2 (.f64 a b)) (PI.f64)) a)
(.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (.f64 a b)))

Outputs
(/.f64 (.f64 (/.f64 1/2 (.f64 a b)) (PI.f64)) (+.f64 a b))
(/.f64 (/.f64 (.f64 1/2 (PI.f64)) b) (.f64 a (+.f64 a b)))
(/.f64 (*.f64 (/.f64 (/.f64 1/2 b) a) (PI.f64)) (+.f64 a b))
(/.f64 (/.f64 (.f64 1/2 (PI.f64)) b) (.f64 a (+.f64 a b)))
(if (<=.f64 b -6561532172181191/1099511627776) (/.f64 (PI.f64) (/.f64 (.f64 b (.f64 a b)) 1/2)) (if (<=.f64 b 335415440813581551985823318016) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) a) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) b) (.f64 a b))))
(if (<=.f64 b -6561532172181191/1099511627776) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) b) (.f64 a b)) (if (<=.f64 b 335415440813581551985823318016) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) a) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) b) (.f64 a b))))
(if (<=.f64 b -6561532172181191/1099511627776) (/.f64 (PI.f64) (/.f64 (.f64 b (.f64 a b)) 1/2)) (if (<=.f64 b 335415440813581551985823318016) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) a) (/.f64 (/.f64 (/.f64 (*.f64 1/2 (PI.f64)) a) b) b)))
(if (<=.f64 b -6561532172181191/1099511627776) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) b) (.f64 a b)) (if (<=.f64 b 335415440813581551985823318016) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) a) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) b) (.f64 a b))))
(if (<=.f64 b -6561532172181191/1099511627776) (/.f64 (PI.f64) (/.f64 (.f64 b (.f64 a b)) 1/2)) (if (<=.f64 b 335415440813581551985823318016) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) a) (/.f64 (PI.f64) (/.f64 (.f64 b (.f64 a b)) 1/2))))
(if (<=.f64 b -6561532172181191/1099511627776) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) b) (.f64 a b)) (if (<=.f64 b 335415440813581551985823318016) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) a) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) b) (.f64 a b))))
(if (<=.f64 b -6561532172181191/1099511627776) (/.f64 (PI.f64) (/.f64 (.f64 b (.f64 a b)) 1/2)) (if (<=.f64 b 335415440813581551985823318016) (/.f64 (.f64 (/.f64 1/2 (.f64 a b)) (PI.f64)) a) (/.f64 (PI.f64) (/.f64 (.f64 b (.f64 a b)) 1/2))))
(if (<=.f64 b -6561532172181191/1099511627776) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) b) (.f64 a b)) (if (<=.f64 b 335415440813581551985823318016) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) a) (/.f64 (/.f64 (.f64 1/2 (PI.f64)) b) (.f64 a b))))
(/.f64 (.f64 (/.f64 1/2 (.f64 a b)) (PI.f64)) a)
(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) a)
(.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (.f64 a b)))
(/.f64 (/.f64 (.f64 1/2 (PI.f64)) (.f64 a b)) a)

Compiler

Compiled 196 to 121 computations (38.3% saved)

soundness0.0ms (0%)

end69.0ms (0.6%)

Compiler: Compiled 182 to 90 computations (50.5% saved)