Details

analyze371.0ms (1.6%)

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
0%	99.9%	0.1%	6
0%	93.6%	6.4%	7
6.2%	87.4%	6.4%	8
10.1%	81.1%	8.7%	9
15.6%	71%	13.4%	10
22%	63%	15%	11
29.1%	52.9%	18.1%	12

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample3.4s (14.9%)

Results

1.3s	5505×	body	256	valid
866.0ms	1182×	body	2048	valid
446.0ms	1586×	body	256	invalid
378.0ms	780×	body	1024	valid
303.0ms	398×	body	4096	valid
120.0ms	391×	body	512	valid

preprocess86.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

795×	`fma-def_binary64`
730×	`div-sub_binary64`
558×	`associate-/r*_binary64`
366×	`sub-neg_binary64`
359×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	104
1	92	88
2	213	88
3	442	88
4	752	88
5	1245	88
6	2215	88
7	4456	88
8	7294	88
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 3 b) c)))) (.f64 3 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 c) a)))) (.f64 3 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 3 a) b)))) (.f64 3 a))

Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (*.f64 3 a))
(.f64 -1/3 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b)))) a))
(.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) a) -1/3)
(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) (/.f64 -1/3 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 3 b) c)))) (.f64 3 b))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 3 (.f64 b c))))) (.f64 b 3))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (.f64 c (.f64 b -3)))) a) (*.f64 b 3))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (.f64 b (.f64 c -3)))) a) (*.f64 b 3))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 c -3) (.f64 a a))) a) (*.f64 b 3))
(.f64 -1/3 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 b (.f64 c -3) (*.f64 a a)))) b))
(.f64 (-.f64 a (sqrt.f64 (fma.f64 b (.f64 c -3) (*.f64 a a)))) (/.f64 -1/3 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 c) a)))) (.f64 3 c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) (.f64 3 c))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (*.f64 3 c))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (*.f64 3 c))
(.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) c) -1/3)
(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) (/.f64 -1/3 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 3 a) b)))) (.f64 3 a))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b (.f64 3 a))))) (.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (.f64 b (.f64 a -3)))) c) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 a -3) (.f64 c c))) c) (*.f64 3 a))
(.f64 -1/3 (/.f64 (-.f64 c (sqrt.f64 (fma.f64 b (.f64 a -3) (*.f64 c c)))) a))
(.f64 (/.f64 (-.f64 c (sqrt.f64 (fma.f64 a (.f64 b -3) (*.f64 c c)))) a) -1/3)
(.f64 (-.f64 c (sqrt.f64 (fma.f64 b (.f64 a -3) (*.f64 c c)))) (/.f64 -1/3 a))

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify119.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1220×	`fma-neg_binary64`
827×	`fma-def_binary64`
741×	`div-sub_binary64`
403×	`associate-/l/_binary64`
347×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	30	22
2	69	22
3	160	22
4	262	22
5	431	22
6	741	22
7	1339	22
8	2834	22
9	4740	22
10	6245	22
11	6866	22
12	7042	22
13	7147	22
14	7630	22

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 -3 c)))) b) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (*.f64 3 a))
(.f64 -1/3 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) a))
(.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) a) -1/3)
(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) (/.f64 -1/3 a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))

eval1.0ms (0%)

Compiler: Compiled 35 to 23 computations (34.3% 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

34.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
▶	34.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)
✓	0.4b	(/.f64 1/3 a)
✓	0.8b	(fma.f64 b b (.f64 c (.f64 a -3)))
✓	21.2b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))

Compiler

Compiled 62 to 36 computations (41.9% saved)

series21.0ms (0.1%)

Counts

4 → 76

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	b	@	inf	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)
2.0ms	b	@	0	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))
1.0ms	c	@	0	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)
1.0ms	a	@	inf	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))
1.0ms	c	@	inf	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))

rewrite90.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`prod-diff_binary64`
597×	`log-prod_binary64`
332×	`pow2_binary64`
304×	`fma-def_binary64`
231×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	260	42
2	3291	42

Stop Event

1×	node limit

Counts

4 → 187

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))
(fma.f64 b b (.f64 c (.f64 a -3)))
(/.f64 1/3 a)
(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)

Outputs
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simplify113.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

712×	`times-frac_binary64`
663×	`associate-r_binary64`
626×	`associate-l_binary64`
588×	`fma-def_binary64`
437×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	1747
1	396	1679
2	1356	1631
3	7801	1631

Stop Event

1×	node limit

Counts

263 → 240

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(*.f64 -1 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -2 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b)))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -3 (sqrt.f64 -3)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) 1/24)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -3 (sqrt.f64 -3)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5))) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) 1/24))))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(fma.f64 -3/2 (/.f64 (*.f64 c a) b) b)
(fma.f64 -3/2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -3/2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 (*.f64 c a) b) b))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -9/8 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))) (fma.f64 -3/2 (*.f64 a (/.f64 c b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -27/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) b)))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))) (fma.f64 -27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) b)))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 3/2 (/.f64 (*.f64 c a) b) (neg.f64 b))
(-.f64 (/.f64 (*.f64 c 3/2) (/.f64 b a)) b)
(-.f64 (.f64 (/.f64 c b) (.f64 a 3/2)) b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 3/2 (/.f64 (.f64 c a) b) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b)))
(-.f64 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) 9/8)) b)
(-.f64 (fma.f64 (.f64 a (/.f64 c b)) 3/2 (/.f64 (.f64 (.f64 a a) 9/8) (/.f64 (pow.f64 b 3) (.f64 c c)))) b)
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (fma.f64 3/2 (/.f64 (.f64 c a) b) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b))))
(fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 27/16 (-.f64 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) 9/8)) b))
(-.f64 (fma.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 27/16 (fma.f64 (.f64 a (/.f64 c b)) 3/2 (/.f64 (.f64 (.f64 a a) 9/8) (/.f64 (pow.f64 b 3) (*.f64 c c))))) b)
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(fma.f64 -3/2 (/.f64 (*.f64 c a) b) b)
(fma.f64 -3/2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -3/2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 (*.f64 c a) b) b))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -9/8 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))) (fma.f64 -3/2 (*.f64 a (/.f64 c b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -27/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) b)))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))) (fma.f64 -27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) b)))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(fma.f64 -3/2 (/.f64 (*.f64 c a) b) b)
(fma.f64 -3/2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -3/2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 (*.f64 c a) b) b))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -9/8 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))) (fma.f64 -3/2 (*.f64 a (/.f64 c b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -27/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) b)))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))) (fma.f64 -27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) b)))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
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(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -1/2 (/.f64 (pow.f64 c 4) (/.f64 b (fma.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (/.f64 (.f64 -9/8 (.f64 a a)) (pow.f64 b 3)) 2)))) (fma.f64 -3/2 (/.f64 (.f64 c a) b) (/.f64 (.f64 -27/16 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5)))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 4) b) (fma.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 81/64))) (fma.f64 -27/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -3/2 (/.f64 b (.f64 c a))))))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))) (fma.f64 -1/2 (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 a 4) b)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -27/16)))))

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
✓	0.3b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
✓	0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
✓	21.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 69 to 35 computations (49.3% saved)

series39.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
7.0ms	c	@	-inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
2.0ms	a	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
2.0ms	b	@	-inf	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
2.0ms	b	@	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
2.0ms	b	@	0	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite166.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

735×	`log-prod_binary64`
725×	`fma-def_binary64`
366×	`fma-neg_binary64`
248×	`expm1-udef_binary64`
248×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	74
1	302	62
2	4505	59

Stop Event

1×	node limit

Counts

4 → 333

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 6) (.f64 27 (pow.f64 (.f64 a c) 3)))) (sqrt.f64 (fma.f64 (.f64 a (.f64 3 c)) (fma.f64 b b (.f64 a (.f64 3 c))) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a (.f64 3 c)) 2))) (hypot.f64 b (sqrt.f64 (.f64 a (.f64 3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (sqrt.f64 (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c)))) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b b) (.f64 (.f64 c (.f64 a -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b b) (fma.f64 c (.f64 a -3) (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 (neg.f64 (.f64 a c)) 3 (.f64 a (.f64 3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 (.f64 c (.f64 a -3)) 1 (.f64 a (.f64 3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a (.f64 3 c)))) (pow.f64 (cbrt.f64 (.f64 a (.f64 3 c))) 2) (.f64 a (.f64 3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (+.f64 (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c))) (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c))) (fma.f64 b b (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 c (.f64 a -3)) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 b b (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (cbrt.f64 (exp.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 b b (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) (.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) (.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 b 6) (.f64 27 (pow.f64 (.f64 a c) 3))) (/.f64 1 (fma.f64 (.f64 a (.f64 3 c)) (fma.f64 b b (.f64 a (.f64 3 c))) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a (.f64 3 c)) 2)) (/.f64 1 (fma.f64 b b (.f64 a (.f64 3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4)) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 3 c)))) (-.f64 b (sqrt.f64 (.f64 a (.f64 3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 a (.f64 3 c)) (fma.f64 b b (.f64 a (.f64 3 c))) (pow.f64 b 4)) (-.f64 (pow.f64 b 6) (.f64 27 (pow.f64 (.f64 a c) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b b (.f64 a (.f64 3 c))) (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a (.f64 3 c)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b 6) (.f64 27 (pow.f64 (.f64 a c) 3))) (fma.f64 (.f64 a (.f64 3 c)) (fma.f64 b b (.f64 a (.f64 3 c))) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a (.f64 3 c)) 2)) (fma.f64 b b (.f64 a (.f64 3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 b 6) (.f64 27 (pow.f64 (.f64 a c) 3)))) (neg.f64 (fma.f64 (.f64 a (.f64 3 c)) (fma.f64 b b (.f64 a (.f64 3 c))) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a (.f64 3 c)) 2))) (neg.f64 (fma.f64 b b (.f64 a (.f64 3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 6) (pow.f64 (.f64 c (.f64 a -3)) 3)) (+.f64 (pow.f64 b 4) (-.f64 (.f64 (.f64 c (.f64 a -3)) (.f64 c (.f64 a -3))) (.f64 (.f64 b b) (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3) (pow.f64 (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c))) 3)) (+.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 2) (-.f64 (.f64 (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c))) (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c)))) (.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -3)) (.f64 c (.f64 a -3)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 2) (.f64 (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c))) (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c))))) (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 b b))) (pow.f64 (pow.f64 (exp.f64 a) 3) c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 b) b) (+.f64 1 (expm1.f64 (.f64 a 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (.f64 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (/.f64 1/3 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (/.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (/.f64 1/3 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 3) (pow.f64 (.f64 3 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (/.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (/.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (/.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) (/.f64 1/3 a))) 1))))))

simplify97.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

895×	`fma-def_binary64`
660×	`associate-/l*_binary64`
590×	`associate-/r*_binary64`
465×	`unswap-sqr_binary64`
435×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	2478
1	581	2399
2	2100	2321
3	7371	2321

Stop Event

1×	node limit

Counts

429 → 413

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(*.f64 -1 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -2 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b)))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))))
(+.f64 (.f64 -1/24 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -2/3 (/.f64 b a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (+.f64 (.f64 1/2 (/.f64 c b)) (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (.f64 -2/3 (/.f64 b a)) (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 c b)) (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (.f64 a b))) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -3 (sqrt.f64 -3)))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
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b
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b
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(fma.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/6 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 -9/8 (.f64 c c)) (.f64 a a)) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7))) (fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))))))
(fma.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (fma.f64 -1/6 (/.f64 (fma.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 81/64)) (.f64 a (pow.f64 b 7))) (fma.f64 -3/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)) (/.f64 -1/2 (/.f64 b c)))))
(fma.f64 -9/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a))) (fma.f64 -1/2 (/.f64 c b) (/.f64 (.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) -1/6) (.f64 a (pow.f64 b 7))))))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 b a) -2/3)
(*.f64 (/.f64 -2/3 a) b)
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))
(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 -2/3 a) b))
(+.f64 (.f64 -2/3 (/.f64 b a)) (+.f64 (.f64 1/2 (/.f64 c b)) (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(fma.f64 -2/3 (/.f64 b a) (fma.f64 1/2 (/.f64 c b) (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) 3/8)))
(fma.f64 (/.f64 b a) -2/3 (fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)) 3/8)))
(fma.f64 1/2 (/.f64 c b) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a))) 3/8 (.f64 (/.f64 -2/3 a) b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 c b)) (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(fma.f64 -2/3 (/.f64 b a) (fma.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) (fma.f64 1/2 (/.f64 c b) (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) 3/8))))
(fma.f64 (/.f64 b a) -2/3 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) 9/16 (fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)) 3/8))))
(fma.f64 (/.f64 b a) -2/3 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a))) 3/8 (fma.f64 1/2 (/.f64 c b) (.f64 (/.f64 (.f64 (pow.f64 c 3) 9/16) (pow.f64 b 5)) (.f64 a a)))))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -3/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)) (/.f64 -1/2 (/.f64 b c)))
(fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a))) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(fma.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))))
(fma.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (fma.f64 -3/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)) (/.f64 -1/2 (/.f64 b c))))
(fma.f64 -9/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a))) (*.f64 -1/2 (/.f64 c b))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(fma.f64 -1/6 (/.f64 (pow.f64 a 3) (/.f64 b (fma.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (.f64 -9/8 (/.f64 (.f64 c c) (pow.f64 b 3))) 2)))) (fma.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))))
(fma.f64 -1/6 (.f64 (/.f64 (pow.f64 a 3) b) (fma.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 81/64))) (fma.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (fma.f64 -3/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)) (/.f64 -1/2 (/.f64 b c)))))
(fma.f64 -1/6 (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 a 3) b)) (fma.f64 -9/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a))) (*.f64 -1/2 (/.f64 c b)))))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -3/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)) (/.f64 -1/2 (/.f64 b c)))
(fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a))) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(fma.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))))
(fma.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (fma.f64 -3/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)) (/.f64 -1/2 (/.f64 b c))))
(fma.f64 -9/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a))) (*.f64 -1/2 (/.f64 c b))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (.f64 a b))) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(fma.f64 -1/6 (/.f64 (.f64 (pow.f64 c 4) (fma.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (.f64 -9/8 (/.f64 (.f64 a a) (pow.f64 b 3))) 2))) (.f64 a b)) (fma.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))))
(fma.f64 -1/6 (.f64 (/.f64 (fma.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 81/64)) a) (/.f64 (pow.f64 c 4) b)) (fma.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (fma.f64 -3/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)) (/.f64 -1/2 (/.f64 b c)))))
(fma.f64 -9/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (fma.f64 -1/6 (.f64 (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 405/64) (/.f64 (/.f64 (pow.f64 c 4) a) b)) (fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a))) (*.f64 -1/2 (/.f64 c b)))))

eval404.0ms (1.8%)

Compiler: Compiled 17828 to 11259 computations (36.8% saved)

prune328.0ms (1.4%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	626	27	653
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	627	28	655

Error

4.7b

Counts

655 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	43.4b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
	44.9b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
▶	42.4b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
	47.2b	(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
	48.2b	(fma.f64 1/2 (/.f64 c b) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a))) 3/8 (.f64 (/.f64 -2/3 a) b)))
	46.5b	(/.f64 (.f64 b -2) (.f64 3 a))
	46.2b	(.f64 (/.f64 1 a) (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 1/3))
	46.7b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
	51.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (.f64 3 a))
	47.4b	(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
	46.5b	(*.f64 (/.f64 -2/3 a) b)
▶	51.1b	(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))
	46.2b	(.f64 1/3 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) a))
▶	46.5b	(*.f64 -2/3 (/.f64 b a))
	46.5b	(pow.f64 (cbrt.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) (/.f64 1/3 a))) 3)
	45.1b	(.f64 (/.f64 (-.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (/.f64 1/3 a))
	56.5b	(.f64 (-.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) b) b) (/.f64 1/3 a))
	51.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2))
	42.4b	(/.f64 (.f64 (/.f64 (.f64 c -3/2) b) a) (*.f64 3 a))
	44.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
	44.9b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	56.3b	(*.f64 (-.f64 b b) (/.f64 1/3 a))
✓	34.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
▶	34.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (/.f64 1 a) 1/3))
	38.4b	(/.f64 -1/2 (/.f64 b c))
	37.8b	(*.f64 -1/2 (/.f64 c b))
	46.8b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
▶	34.3b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))

Compiler

Compiled 866 to 612 computations (29.3% saved)

localize56.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)
✓	0.4b	(*.f64 (/.f64 1 a) 1/3)
	0.8b	(fma.f64 b b (.f64 c (.f64 a -3)))
	21.2b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))

Compiler

Compiled 70 to 43 computations (38.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(*.f64 (/.f64 1 a) 1/3)
0.0ms	a	@	-inf	(*.f64 (/.f64 1 a) 1/3)
0.0ms	a	@	inf	(*.f64 (/.f64 1 a) 1/3)

rewrite55.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

495×	`pow1_binary64`
483×	`add-sqr-sqrt_binary64`
460×	`add-log-exp_binary64`
460×	`log1p-expm1-u_binary64`
460×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	120	4
2	1311	4

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(*.f64 (/.f64 1 a) 1/3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/3 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 a)))))))

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48

Stop Event

1×

saturated

Counts

28 → 16

Calls

Call 1

Inputs
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)

Outputs
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)

localize11.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 -2/3 (/.f64 b a))

Compiler

Compiled 14 to 7 computations (50% saved)

series7.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(*.f64 -2/3 (/.f64 b a))
1.0ms	b	@	inf	(*.f64 -2/3 (/.f64 b a))
1.0ms	a	@	0	(*.f64 -2/3 (/.f64 b a))
1.0ms	a	@	inf	(*.f64 -2/3 (/.f64 b a))
1.0ms	b	@	-inf	(*.f64 -2/3 (/.f64 b a))

rewrite76.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
607×	`add-log-exp_binary64`
607×	`log1p-expm1-u_binary64`
607×	`expm1-log1p-u_binary64`
595×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1611	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(*.f64 -2/3 (/.f64 b a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2/3 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 -2/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2/3 b) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -2/3 b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2/3 b) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2/3 b) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) -2/3) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2/3 (neg.f64 b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/3 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2/3 (/.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2/3 (/.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2/3 (/.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2/3) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2/3 (/.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2/3 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2/3 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2/3 (/.f64 b a))))))))

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize36.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1/3 a)
✓	5.8b	(.f64 (/.f64 c b) (.f64 a -3/2))
✓	12.3b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))

Compiler

Compiled 35 to 19 computations (45.7% saved)

series21.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	c	@	0	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
1.0ms	c	@	0	(.f64 (/.f64 c b) (.f64 a -3/2))
1.0ms	b	@	0	(.f64 (/.f64 c b) (.f64 a -3/2))
1.0ms	c	@	inf	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
1.0ms	a	@	0	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))

rewrite96.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`log-prod_binary64`
434×	`pow-prod-down_binary64`
312×	`pow2_binary64`
264×	`pow-unpow_binary64`
222×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	240	23
2	3160	23

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(.f64 (/.f64 c b) (.f64 a -3/2))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 c b) (*.f64 a -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 c a) b)) -3/2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 c a) b)) -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 c a) b)) -3/2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 c a) b)) -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c b) (*.f64 a -3/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 b (*.f64 a -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a -3/2) (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 (*.f64 c a) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c a) -3/2) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 c a) -3/2)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 c a) -3/2) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 c a) -3/2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 c a) -3/2) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) (*.f64 a -3/2)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a -3/2) (neg.f64 c)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 c b) (*.f64 a -3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (*.f64 c a) b) 2) 9/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 c b) (*.f64 a -3/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) (*.f64 a -3/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 c b) (*.f64 a -3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 (*.f64 c a) -3/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 c a) b) 2) 9/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 c a) b)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c b) (*.f64 a -3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 c b) (*.f64 a -3/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 c b) (*.f64 a -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 c b) (*.f64 a -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 c b) (*.f64 a -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c b) (*.f64 a -3/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 c b) (*.f64 a -3/2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 c b) (*.f64 a -3/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 c b) (*.f64 a -3/2)))) 2))))))

simplify27.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative_binary64`
17×	`associate-/l*_binary64`
12×	`associate-/r/_binary64`
10×	`associate-r_binary64`
8×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	612
1	20	612
2	37	612
3	67	612
4	98	612
5	109	612

Stop Event

1×

saturated

Counts

144 → 75

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))

Outputs
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))
	0.4b	(/.f64 1/3 a)
✓	25.4b	(sqrt.f64 (*.f64 b b))

Compiler

Compiled 32 to 12 computations (62.5% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	b	@	inf	(sqrt.f64 (*.f64 b b))
0.0ms	b	@	0	(sqrt.f64 (*.f64 b b))
0.0ms	b	@	-inf	(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))
0.0ms	b	@	0	(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))
0.0ms	a	@	inf	(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))

rewrite49.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`pow1_binary64`
697×	`add-log-exp_binary64`
696×	`log1p-expm1-u_binary64`
696×	`expm1-log1p-u_binary64`
682×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	200	2
2	2637	2

Stop Event

1×	node limit

Counts

2 → 23

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 b b))
(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x . 0)))))

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Rules

12×	`fma-def_binary64`
5×	`sub-neg_binary64`
4×	`*-commutative_binary64`
4×	`distribute-rgt-in_binary64`
4×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	68
1	14	68
2	19	68
3	24	68
4	27	68
5	31	68
6	35	68
7	51	68
8	81	68
9	82	68

Stop Event

1×

saturated

Counts

59 → 28

Calls

Call 1

Inputs
b
b
b
b
b
b
b
b
(*.f64 -1 b)
(*.f64 -1 b)
(*.f64 -1 b)
(*.f64 -1 b)
0
0
0
0
0
0
0
0
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
0
0
0
0
0
0
0
0
0
0
0
0

Outputs
b
b
b
b
b
b
b
b
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)
0
0
0
0
0
0
0
0
(*.f64 -2/3 (/.f64 b a))
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 b (/.f64 -2/3 a))
0
0
0
0
0
0
0
0
0
0
0
0

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))) b)
	0.4b	(/.f64 1/3 a)
✓	0.6b	(+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))
✓	21.2b	(sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b)))

Compiler

Compiled 69 to 37 computations (46.4% saved)

series9.0ms (0%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	c	@	0	(sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b)))
0.0ms	c	@	inf	(sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b)))
0.0ms	c	@	-inf	(sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b)))
0.0ms	a	@	inf	(-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))) b)
0.0ms	a	@	inf	(sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b)))

rewrite147.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`fma-def_binary64`
586×	`log-prod_binary64`
419×	`pow-prod-down_binary64`
317×	`pow2_binary64`
269×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	243	38
2	3381	38

Stop Event

1×	node limit

Counts

3 → 194

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b)))
(+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))
(-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))) b)

Outputs

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

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

712×	`times-frac_binary64`
665×	`associate-r_binary64`
624×	`associate-l_binary64`
588×	`fma-def_binary64`
437×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	1747
1	396	1679
2	1360	1631
3	7829	1631

Stop Event

1×	node limit

Counts

270 → 246

Calls

Call 1

Inputs
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(*.f64 -1 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -2 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b)))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b))))

Outputs
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(fma.f64 -3/2 (/.f64 c (/.f64 b a)) b)
(fma.f64 -3/2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -3/2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) b))
(fma.f64 -9/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) b))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))) c) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (fma.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) b)))
(fma.f64 -9/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) b)))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a a))) c) (fma.f64 -27/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) b)))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(fma.f64 -3/2 (/.f64 c (/.f64 b a)) b)
(fma.f64 -3/2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -3/2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) b))
(fma.f64 -9/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) b))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))) c) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (fma.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) b)))
(fma.f64 -9/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) b)))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a a))) c) (fma.f64 -27/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) b)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 -3)) b))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -3 (sqrt.f64 -3)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) 1/24)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
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(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -1/2 (/.f64 (pow.f64 c 4) (/.f64 b (fma.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (/.f64 (.f64 -9/8 (.f64 a a)) (pow.f64 b 3)) 2)))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (*.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))))
(fma.f64 -9/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 4) b) (fma.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 81/64))) (fma.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 -3/2 c) (/.f64 b a)))))
(fma.f64 -9/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a a))) c) (fma.f64 -27/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (fma.f64 -1/2 (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 a 4) b)) (.f64 (/.f64 c b) (*.f64 -3/2 a)))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 -1 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (neg.f64 b))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1 b (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (neg.f64 b)))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 1/2 (.f64 (/.f64 b (sqrt.f64 -3)) b)) (neg.f64 b)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 -1 b (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -3 (sqrt.f64 -3)))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (neg.f64 b))))
(-.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) 1/24))) b)
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (*.f64 -3/2 (/.f64 c (/.f64 b a))))
(fma.f64 -9/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (/.f64 (.f64 -3/2 c) (/.f64 b a)))
(fma.f64 -9/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a a))) c) (.f64 (/.f64 c b) (.f64 -3/2 a)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (*.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))
(fma.f64 -9/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 -3/2 c) (/.f64 b a))))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -27/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (/.f64 (.f64 c -9/8) (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (.f64 c c) (.f64 a a))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (*.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))))
(fma.f64 -1/2 (/.f64 (fma.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 81/64)) (pow.f64 b 7)) (fma.f64 -9/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (*.f64 -3/2 c) (/.f64 b a)))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (pow.f64 b 7)) (fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -27/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (/.f64 (.f64 c -9/8) (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (*.f64 c 3/2) (/.f64 b a)))
(fma.f64 b -2 (.f64 (/.f64 3/2 b) (.f64 c a)))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b)))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (*.f64 b -2)))
(fma.f64 (.f64 (/.f64 c b) a) 3/2 (fma.f64 b -2 (.f64 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) 9/8)))
(fma.f64 b -2 (fma.f64 (.f64 a (/.f64 c b)) 3/2 (.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a a))) c) 9/8)))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b))))
(fma.f64 27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (*.f64 b -2))))
(fma.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) 27/16 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (fma.f64 b -2 (.f64 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) 9/8))))
(fma.f64 (.f64 a (/.f64 c b)) 3/2 (fma.f64 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) 27/16 (fma.f64 b -2 (.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))) c) 9/8))))

eval311.0ms (1.4%)

Compiler: Compiled 14960 to 9322 computations (37.7% saved)

prune184.0ms (0.8%)

Pruning

44 alts after pruning (39 fresh and 5 done)

	Pruned	Kept	Total
New	649	28	677
Fresh	11	11	22
Picked	0	1	1
Done	1	4	5
Total	661	44	705

Error

4.7b

Counts

705 → 44

Alt Table

Click to see full alt table

Status	Error	Program
	43.4b	(/.f64 (.f64 (/.f64 (.f64 c a) b) -1/2) a)
	57.6b	(sqrt.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9))
▶	44.9b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
	42.4b	(/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) -1/3) (neg.f64 a))
	44.4b	(/.f64 (.f64 (.f64 c a) -3/2) (.f64 (.f64 a 3) b))
	56.3b	0
	47.2b	(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
✓	42.4b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
	49.4b	(.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)))) 1/3)) (/.f64 1/3 a))
	38.4b	(/.f64 -1/2 (/.f64 b c))
	47.4b	(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
	46.8b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (.f64 a 3/2)) b) b) (.f64 (/.f64 1 a) 1/3))
▶	34.7b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	44.9b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	37.9b	(/.f64 (.f64 c (.f64 a (*.f64 -3/2 (/.f64 1/3 a)))) b)
	46.8b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
	51.0b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
	46.2b	(.f64 (/.f64 1 a) (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 1/3))
	46.5b	(/.f64 (.f64 b -2) (.f64 3 a))
	45.4b	(.f64 (-.f64 (.f64 (fabs.f64 (pow.f64 (cbrt.f64 b) 2)) (fabs.f64 (cbrt.f64 b))) b) (/.f64 1/3 a))
	44.3b	(.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)))) (/.f64 1/3 a))
	51.3b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2))
	44.0b	(.f64 (.f64 c (*.f64 -3/2 (/.f64 a b))) (/.f64 1/3 a))
▶	46.7b	(/.f64 (/.f64 (*.f64 -2/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	59.6b	(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
	45.1b	(.f64 (/.f64 (-.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (/.f64 1/3 a))
	51.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (.f64 3 a))
▶	46.7b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
▶	37.8b	(*.f64 -1/2 (/.f64 c b))
✓	51.1b	(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))
✓	46.5b	(*.f64 -2/3 (/.f64 b a))
	55.8b	(exp.f64 (log.f64 (*.f64 -2/3 (/.f64 b a))))
	46.5b	(/.f64 (*.f64 -2/3 b) a)
	46.5b	(pow.f64 (cbrt.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) (/.f64 1/3 a))) 3)
	46.5b	(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
	44.9b	(.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 (/.f64 1 a) 1/3))
	46.5b	(/.f64 -2/3 (/.f64 a b))
	38.0b	(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/6) 3) b) (/.f64 1/3 a))
✓	34.3b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
	46.5b	(.f64 (.f64 b -2) (*.f64 (/.f64 1 a) 1/3))
	35.7b	(.f64 (-.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -3) (*.f64 b b))) 3/2) b) (/.f64 1/3 a))
	42.4b	(/.f64 (.f64 (/.f64 (.f64 c -3/2) b) a) (*.f64 3 a))
	44.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
✓	34.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Compiler

Compiled 1264 to 920 computations (27.2% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (/.f64 1/3 a))
	0.6b	(+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))
✓	0.7b	(pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3)
	21.2b	(sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b)))

Compiler

Compiled 83 to 49 computations (41% saved)

series14.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	a	@	inf	(pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3)
3.0ms	a	@	0	(pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3)
2.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3)
1.0ms	a	@	inf	(cbrt.f64 (/.f64 1/3 a))
1.0ms	a	@	-inf	(cbrt.f64 (/.f64 1/3 a))

rewrite67.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`pow1_binary64`
544×	`add-log-exp_binary64`
544×	`log1p-expm1-u_binary64`
544×	`expm1-log1p-u_binary64`
532×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	155	10
2	1531	10

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3)
(cbrt.f64 (/.f64 1/3 a))

Outputs

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

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

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

60 → 60

Calls

Call 1

Inputs

Outputs

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -1/2 (/.f64 c b))

Compiler

Compiled 14 to 7 computations (50% saved)

series7.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite56.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
594×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1610	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b))

Outputs

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

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 1/2 (/.f64 c b))
✓	0.0b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
	0.3b	(*.f64 -2/3 (/.f64 b a))

Compiler

Compiled 35 to 16 computations (54.3% saved)

series6.0ms (0%)

Counts

2 → 9

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
1.0ms	c	@	0	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
1.0ms	b	@	0	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
0.0ms	c	@	inf	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
0.0ms	c	@	-inf	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))

rewrite78.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`log-prod_binary64`
372×	`pow-prod-down_binary64`
328×	`fma-def_binary64`
325×	`pow2_binary64`
226×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	246	21
2	3423	21

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (/.f64 a b) -2) 4/9) (fma.f64 -2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))) (/.f64 (*.f64 (pow.f64 (/.f64 c b) 2) 1/4) (fma.f64 -2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b)))) 2) (cbrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b)))) (sqrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 b a) 3) -8/27 (*.f64 (pow.f64 (/.f64 c b) 3) 1/8)) (/.f64 1 (fma.f64 (*.f64 1/2 (/.f64 c b)) (-.f64 (*.f64 1/2 (/.f64 c b)) (/.f64 -2/3 (/.f64 a b))) (*.f64 (pow.f64 (/.f64 a b) -2) 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 (/.f64 a b) -2) 4/9) (*.f64 (pow.f64 (/.f64 c b) 2) 1/4)) (/.f64 1 (fma.f64 -2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 1/2 (/.f64 c b)) (-.f64 (*.f64 1/2 (/.f64 c b)) (/.f64 -2/3 (/.f64 a b))) (*.f64 (pow.f64 (/.f64 a b) -2) 4/9)) (fma.f64 (pow.f64 (/.f64 b a) 3) -8/27 (*.f64 (pow.f64 (/.f64 c b) 3) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b))) (-.f64 (*.f64 (pow.f64 (/.f64 a b) -2) 4/9) (*.f64 (pow.f64 (/.f64 c b) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 b a) 3) -8/27 (*.f64 (pow.f64 (/.f64 c b) 3) 1/8)) (fma.f64 (*.f64 1/2 (/.f64 c b)) (-.f64 (*.f64 1/2 (/.f64 c b)) (/.f64 -2/3 (/.f64 a b))) (*.f64 (pow.f64 (/.f64 a b) -2) 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 b a) 3) -8/27 (*.f64 (pow.f64 (/.f64 c b) 3) 1/8)) (fma.f64 (pow.f64 (/.f64 c b) 2) 1/4 (-.f64 (*.f64 (pow.f64 (/.f64 a b) -2) 4/9) (*.f64 -2/3 (*.f64 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 a b) -2) 4/9) (*.f64 (pow.f64 (/.f64 c b) 2) 1/4)) (fma.f64 -2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 b a) 3) -8/27 (*.f64 (pow.f64 (/.f64 c b) 3) 1/8))) (neg.f64 (fma.f64 (*.f64 1/2 (/.f64 c b)) (-.f64 (*.f64 1/2 (/.f64 c b)) (/.f64 -2/3 (/.f64 a b))) (*.f64 (pow.f64 (/.f64 a b) -2) 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 a b) -2) 4/9) (*.f64 (pow.f64 (/.f64 c b) 2) 1/4))) (neg.f64 (fma.f64 -2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 -2/3 b) b (*.f64 a (*.f64 1/2 c))) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 1/2 c) a (*.f64 b (*.f64 -2/3 b))) (*.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 c b) 2) 1/4) (*.f64 (pow.f64 (/.f64 a b) -2) 4/9)) (-.f64 (*.f64 1/2 (/.f64 c b)) (/.f64 -2/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 1/2 (/.f64 c b)) (-.f64 (*.f64 1/2 (/.f64 c b)) (/.f64 -2/3 (/.f64 a b))) (*.f64 (pow.f64 (/.f64 a b) -2) 4/9)) (fma.f64 (pow.f64 (/.f64 b a) 3) -8/27 (*.f64 (pow.f64 (/.f64 c b) 3) 1/8))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b))) (-.f64 (*.f64 (pow.f64 (/.f64 a b) -2) 4/9) (*.f64 (pow.f64 (/.f64 c b) 2) 1/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -2/3 (/.f64 a b)))) (sqrt.f64 (exp.f64 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -2/3) (/.f64 b a)) (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 c b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -2/3 (/.f64 a b)))) (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 c b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 c b)))) (pow.f64 (exp.f64 -2/3) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (sqrt.f64 (exp.f64 (/.f64 c b))) (+.f64 1 (expm1.f64 (/.f64 -2/3 (/.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 c b)))) (+.f64 1 (expm1.f64 (/.f64 -2/3 (/.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (*.f64 (/.f64 1 a) -2/3) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b a) -2/3 (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2/3 (/.f64 a b)) 1 (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c (*.f64 (/.f64 1 b) 1/2) (/.f64 -2/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 c b) 1/2 (/.f64 -2/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (/.f64 c b)) 1 (/.f64 -2/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/3 (/.f64 a b)) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 (/.f64 c b)) (/.f64 -2/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 a b) -2)) (*.f64 (cbrt.f64 (/.f64 b a)) -2/3) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 c b) 2)) (*.f64 (cbrt.f64 (/.f64 c b)) 1/2) (/.f64 -2/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2/3 (/.f64 a b))) (pow.f64 (cbrt.f64 (/.f64 -2/3 (/.f64 a b))) 2) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2/3 (/.f64 a b))) 2) (cbrt.f64 (/.f64 -2/3 (/.f64 a b))) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b))) 2) (/.f64 -2/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 c b))) (/.f64 -2/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 b a)) -2/3) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 c b)) (*.f64 (sqrt.f64 (/.f64 c b)) 1/2) (/.f64 -2/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/3 (/.f64 a b))) (sqrt.f64 (/.f64 -2/3 (/.f64 a b))) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 (/.f64 c b))) (sqrt.f64 (*.f64 1/2 (/.f64 c b))) (/.f64 -2/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 b) (/.f64 1 a) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 c) (/.f64 1 b) (/.f64 -2/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2/3 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b (cbrt.f64 a)) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2/3 (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b)) (/.f64 -2/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (sqrt.f64 b)) (/.f64 c (sqrt.f64 b)) (/.f64 -2/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 (cbrt.f64 (pow.f64 (/.f64 a b) -2))) (cbrt.f64 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 (sqrt.f64 (/.f64 b a))) (sqrt.f64 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 c b) 2))) (cbrt.f64 (/.f64 c b)) (/.f64 -2/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c b))) (sqrt.f64 (/.f64 c b)) (/.f64 -2/3 (/.f64 a b)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b)))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 1/2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 c) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 c)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) 1/2) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (neg.f64 c)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 c b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 c b) 2) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 c b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 c b) 3) 1/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 1/2 c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 c b) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 c b) 3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 c b))) 1))))))

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`associate-/l*_binary64`
2×	`associate-*r/_binary64`
2×	`associate-*l/_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	63
1	16	63
2	24	63
3	32	63
4	34	63

Stop Event

1×

saturated

Counts

106 → 100

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 c b))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 1/2 (/.f64 c b))
(*.f64 1/2 (/.f64 c b))
(*.f64 -2/3 (/.f64 b a))
(*.f64 1/2 (/.f64 c b))
(*.f64 1/2 (/.f64 c b))

Outputs
(*.f64 1/2 (/.f64 c b))
(*.f64 -2/3 (/.f64 b a))
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 b (/.f64 -2/3 a))
(*.f64 1/2 (/.f64 c b))
(*.f64 1/2 (/.f64 c b))
(*.f64 -2/3 (/.f64 b a))
(*.f64 b (/.f64 -2/3 a))
(*.f64 1/2 (/.f64 c b))
(*.f64 1/2 (/.f64 c b))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
✓	0.2b	(.f64 -3 (.f64 c a))
	0.4b	(/.f64 1/3 a)
✓	12.0b	(sqrt.f64 (.f64 -3 (.f64 c a)))

Compiler

Compiled 45 to 24 computations (46.7% saved)

series14.0ms (0.1%)

Counts

3 → 14

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
1.0ms	c	@	0	(sqrt.f64 (.f64 -3 (.f64 c a)))
1.0ms	a	@	-inf	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
1.0ms	c	@	-inf	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
1.0ms	b	@	0	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`prod-diff_binary64`
643×	`log-prod_binary64`
364×	`fma-def_binary64`
234×	`pow1/3_binary64`
232×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	263	34
2	3452	34

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

Inputs
(sqrt.f64 (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))

Outputs

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

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

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`fma-def_binary64`
8×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
2×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	231
1	24	231
2	39	231
3	49	231
4	51	231
5	52	231

Stop Event

1×

saturated

Counts

111 → 103

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 -1/3 (/.f64 b a))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 -1/3 (/.f64 b a))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))

Outputs
(*.f64 -1/3 (/.f64 b a))
(/.f64 b (/.f64 a -1/3))
(*.f64 -1/3 (/.f64 b a))
(/.f64 b (/.f64 a -1/3))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -3) 1/3))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 1/3 (sqrt.f64 -3)))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -3) 1/3)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (/.f64 b (/.f64 a -1/3)))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -3) 1/3)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (/.f64 b (/.f64 a -1/3)))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -3) 1/3)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (/.f64 b (/.f64 a -1/3)))
(*.f64 -1/3 (/.f64 b a))
(/.f64 b (/.f64 a -1/3))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -3) 1/3)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (/.f64 b (/.f64 a -1/3)))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -3) 1/3)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (/.f64 b (/.f64 a -1/3)))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -3) 1/3)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (/.f64 b (/.f64 a -1/3)))
(*.f64 -1/3 (/.f64 b a))
(/.f64 b (/.f64 a -1/3))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -3) 1/3)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (/.f64 b (/.f64 a -1/3)))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -3) 1/3)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (/.f64 b (/.f64 a -1/3)))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -3) 1/3)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (/.f64 b (/.f64 a -1/3)))

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 (*.f64 -2/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
✓	0.3b	(*.f64 -2/3 b)
✓	0.5b	(pow.f64 (cbrt.f64 a) 2)
✓	0.6b	(cbrt.f64 a)

Compiler

Compiled 35 to 21 computations (40% saved)

series14.0ms (0.1%)

Counts

4 → 24

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	a	@	-inf	(cbrt.f64 a)
3.0ms	a	@	-inf	(/.f64 (/.f64 (*.f64 -2/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
1.0ms	a	@	-inf	(pow.f64 (cbrt.f64 a) 2)
1.0ms	a	@	0	(pow.f64 (cbrt.f64 a) 2)
1.0ms	a	@	inf	(pow.f64 (cbrt.f64 a) 2)

rewrite78.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

536×	`log-prod_binary64`
408×	`exp-prod_binary64`
293×	`pow-prod-down_binary64`
260×	`pow2_binary64`
183×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	217	20
2	2854	20

Stop Event

1×	node limit

Counts

4 → 147

Calls

Call 1

Inputs
(cbrt.f64 a)
(pow.f64 (cbrt.f64 a) 2)
(*.f64 -2/3 b)
(/.f64 (/.f64 (*.f64 -2/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 a)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (cbrt.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 a)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 a 1/6) (pow.f64 a 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 a 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a a) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 a) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 a))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 a)))) (sqrt.f64 (log.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 a) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/6 (log.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 a) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 a) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 a)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 a)) 1) 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 a) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 a) (pow.f64 a 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 a 1/6) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 5) (cbrt.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 a (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2/3 (log.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 a) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a a)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (.f64 2/3 (log.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 a) 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 a) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 a)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2/3 (log.f64 a)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -2/3 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) b)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) b))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -2/3 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -2/3 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 4/9 (.f64 b b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 -2/3 b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -2/3 b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 -2/3 b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 -2/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 -2/3 b))) 2)) (cbrt.f64 (log.f64 (.f64 -2/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 -2/3 b)))) (sqrt.f64 (log.f64 (.f64 -2/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 4/9 (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2/3) b))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -2/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 -2/3 b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -2/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -2/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -2/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 -2/3 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 -2/3 b))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -2/3 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 -2/3 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 -2/3 b)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -2/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2/3 (/.f64 a b)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2/3 (/.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2/3 (/.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2/3 (/.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -2/3 (/.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2/3 b) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2/3 (/.f64 b (pow.f64 (cbrt.f64 a) 2))) (/.f64 1 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -2/3 (/.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 -2/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2/3 b)) (cbrt.f64 a)) 4)) (.f64 (cbrt.f64 (.f64 -2/3 (/.f64 b (pow.f64 (cbrt.f64 a) 2)))) (/.f64 1 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 -2/3 (/.f64 a b))) (pow.f64 (cbrt.f64 (/.f64 -2/3 (/.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 -2/3 (/.f64 a b))) 2) (cbrt.f64 (/.f64 -2/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 -2/3 b)) (cbrt.f64 a)) (/.f64 (sqrt.f64 (.f64 -2/3 b)) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 -2/3 b)) (cbrt.f64 a)) (.f64 (/.f64 (sqrt.f64 (.f64 -2/3 b)) (cbrt.f64 a)) (/.f64 1 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 -2/3 (/.f64 a b))) (sqrt.f64 (/.f64 -2/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 b 2/3) (pow.f64 (cbrt.f64 a) -2)) (/.f64 1 (neg.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 a)) (.f64 -2/3 (/.f64 b (pow.f64 (cbrt.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -2/3 (cbrt.f64 a)) (/.f64 b (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 b (cbrt.f64 a)) (/.f64 -2/3 (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 4/9 (.f64 b b))) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 -2/3 b)) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 -2/3 b) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (pow.f64 (cbrt.f64 a) -2) (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 -2/3 b) 1) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2/3 b)) (cbrt.f64 a)) 4)) 1) (/.f64 (cbrt.f64 (.f64 -2/3 (/.f64 b (pow.f64 (cbrt.f64 a) 2)))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sqrt.f64 (.f64 -2/3 b)) (cbrt.f64 a)) 1) (/.f64 (/.f64 (sqrt.f64 (.f64 -2/3 b)) (cbrt.f64 a)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) -2) (/.f64 (.f64 -2/3 (/.f64 b (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2/3 b)) (cbrt.f64 a)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (cbrt.f64 (/.f64 -2/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sqrt.f64 (.f64 -2/3 b)) (cbrt.f64 a)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (/.f64 (sqrt.f64 (.f64 -2/3 b)) (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 -2/3 b) (pow.f64 a 1/6)) (pow.f64 (cbrt.f64 a) -5/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 a -1/6) (/.f64 (.f64 -2/3 (/.f64 b (pow.f64 (cbrt.f64 a) 2))) (pow.f64 a 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2/3 b)) (cbrt.f64 a)) 4)) (pow.f64 a 1/6)) (/.f64 (cbrt.f64 (.f64 -2/3 (/.f64 b (pow.f64 (cbrt.f64 a) 2)))) (pow.f64 a 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2/3 (/.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2/3 (/.f64 a b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2/3 (/.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2/3 (/.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -2/3 (/.f64 a b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 1 (.f64 -2/3 b)) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 -2/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2/3 b)) (cbrt.f64 a)) 6) a) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 -2/3 b)) (cbrt.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (.f64 -2/3 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (/.f64 1 (.f64 -2/3 b)) a) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -2/3 (/.f64 a b)))) 2)) (cbrt.f64 (log.f64 (/.f64 -2/3 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -2/3 (/.f64 a b))))) (sqrt.f64 (log.f64 (/.f64 -2/3 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 -2/3 (/.f64 b (pow.f64 (cbrt.f64 a) 2))) (neg.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -2/3 (/.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -2/3 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2/3 (/.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2/3 b)) (cbrt.f64 a)) 6) a))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 -2/3 (/.f64 a b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 -2/3 (/.f64 a b)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 -2/3 (/.f64 a b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 -2/3 (/.f64 a b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (/.f64 -2/3 (/.f64 a b)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (/.f64 -2/3 (/.f64 a b))) 1) 1))))))

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

171 → 148

Calls

Call 1

Inputs
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))

Outputs
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))

eval231.0ms (1%)

Compiler: Compiled 11746 to 7438 computations (36.7% saved)

prune161.0ms (0.7%)

Pruning

50 alts after pruning (44 fresh and 6 done)

	Pruned	Kept	Total
New	622	23	645
Fresh	13	21	34
Picked	0	1	1
Done	4	5	9
Total	639	50	689

Error

2.2b

Counts

689 → 50

Alt Table

Click to see full alt table

Status	Error	Program
	43.4b	(/.f64 (.f64 (/.f64 (.f64 c a) b) -1/2) a)
▶	57.6b	(sqrt.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9))
	38.3b	(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 3)
	38.0b	(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/6) 3) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	42.4b	(/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) -1/3) (neg.f64 a))
	44.4b	(/.f64 (.f64 (.f64 c a) -3/2) (.f64 (.f64 a 3) b))
	44.9b	(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3) a)
✓	42.4b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
	56.3b	0
▶	34.6b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 (pow.f64 (cbrt.f64 1/3) 3) a))
	47.4b	(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
	46.8b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (.f64 a 3/2)) b) b) (.f64 (/.f64 1 a) 1/3))
	46.7b	(+.f64 (/.f64 (.f64 -2/3 b) a) (.f64 1/2 (/.f64 c b)))
	44.9b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	37.9b	(/.f64 (.f64 c (.f64 a (*.f64 -3/2 (/.f64 1/3 a)))) b)
	46.8b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
	44.9b	(/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) (*.f64 a 3))
	46.5b	(/.f64 (.f64 b -2) (.f64 3 a))
	46.7b	(+.f64 (.f64 -2/3 (/.f64 b a)) (/.f64 (/.f64 (.f64 1/2 c) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b)))
▶	56.8b	(*.f64 1/2 (/.f64 c b))
✓	46.7b	(/.f64 (/.f64 (*.f64 -2/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
▶	44.0b	(.f64 (.f64 c (*.f64 -3/2 (/.f64 a b))) (/.f64 1/3 a))
	46.8b	(*.f64 (-.f64 (neg.f64 b) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	49.2b	(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b))))
	51.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (.f64 3 a))
	37.8b	(/.f64 (*.f64 -1/2 c) b)
	55.9b	(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 -2/3 (/.f64 a b)))) 1/3))
✓	51.1b	(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))
	45.2b	(pow.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) (/.f64 1/3 a))) 3)
	53.3b	(/.f64 (/.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 -2/3 b)))) (sqrt.f64 (log.f64 (.f64 -2/3 b)))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
✓	46.5b	(*.f64 -2/3 (/.f64 b a))
	46.5b	(/.f64 (*.f64 -2/3 b) a)
	38.4b	(/.f64 -1/2 (/.f64 b c))
	55.8b	(exp.f64 (log.f64 (/.f64 -2/3 (/.f64 a b))))
▶	46.5b	(pow.f64 (.f64 (/.f64 1 (.f64 -2/3 b)) a) -1)
	49.3b	(/.f64 (/.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 -2/3 b))) 2)) (cbrt.f64 (log.f64 (.f64 -2/3 b)))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	46.7b	(+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c)))
	46.5b	(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
	53.3b	(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
	44.9b	(.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 (/.f64 1 a) 1/3))
	46.5b	(/.f64 -2/3 (/.f64 a b))
	47.7b	(/.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -2/3 b)) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	38.0b	(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/6) 3) b) (/.f64 1/3 a))
✓	34.3b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
	46.5b	(.f64 (.f64 b -2) (*.f64 (/.f64 1 a) 1/3))
	48.6b	(/.f64 (.f64 (-.f64 (.f64 a (.f64 -3 c)) (.f64 b b)) 1/3) (.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) a))
	52.5b	(.f64 (-.f64 (.f64 (sqrt.f64 (*.f64 -3 c)) (sqrt.f64 a)) b) (/.f64 1/3 a))
	42.4b	(/.f64 (.f64 (/.f64 (.f64 c -3/2) b) a) (*.f64 3 a))
	44.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
✓	34.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Compiler

Compiled 1364 to 1018 computations (25.4% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (pow.f64 (cbrt.f64 1/3) 3) a)
	0.6b	(+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))
✓	1.0b	(pow.f64 (cbrt.f64 1/3) 3)
	21.2b	(sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b)))

Compiler

Compiled 82 to 50 computations (39% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(/.f64 (pow.f64 (cbrt.f64 1/3) 3) a)
0.0ms	a	@	-inf	(/.f64 (pow.f64 (cbrt.f64 1/3) 3) a)
0.0ms	a	@	inf	(/.f64 (pow.f64 (cbrt.f64 1/3) 3) a)

rewrite52.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

553×	`pow1_binary64`
524×	`add-log-exp_binary64`
524×	`log1p-expm1-u_binary64`
524×	`expm1-log1p-u_binary64`
512×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	155	5
2	1469	5

Stop Event

1×	node limit

Counts

2 → 21

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 1/3) 3)
(/.f64 (pow.f64 (cbrt.f64 1/3) 3) a)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 1/3)))))

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

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48

Stop Event

1×

saturated

Counts

33 → 22

Calls

Call 1

Inputs
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)

Outputs
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 1/2 (/.f64 c b))

Compiler

Compiled 14 to 7 computations (50% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 -3/2 (/.f64 a b))
	0.4b	(/.f64 1/3 a)
✓	3.3b	(.f64 c (.f64 -3/2 (/.f64 a b)))
✓	12.3b	(.f64 (.f64 c (*.f64 -3/2 (/.f64 a b))) (/.f64 1/3 a))

Compiler

Compiled 37 to 19 computations (48.6% saved)

series9.0ms (0%)

Counts

3 → 72

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	(.f64 (.f64 c (*.f64 -3/2 (/.f64 a b))) (/.f64 1/3 a))
1.0ms	a	@	0	(*.f64 -3/2 (/.f64 a b))
1.0ms	b	@	0	(*.f64 -3/2 (/.f64 a b))
0.0ms	a	@	-inf	(*.f64 -3/2 (/.f64 a b))
0.0ms	a	@	inf	(*.f64 -3/2 (/.f64 a b))

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`log-prod_binary64`
401×	`pow-prod-down_binary64`
307×	`pow2_binary64`
285×	`pow-unpow_binary64`
218×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	239	33
2	3085	33

Stop Event

1×	node limit

Counts

3 → 86

Calls

Call 1

Inputs
(.f64 (.f64 c (*.f64 -3/2 (/.f64 a b))) (/.f64 1/3 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(*.f64 -3/2 (/.f64 a b))

Outputs

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

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

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

simplify25.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative_binary64`
17×	`associate-/l*_binary64`
12×	`associate-/r/_binary64`
10×	`associate-r_binary64`
8×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	612
1	20	612
2	37	612
3	67	612
4	98	612
5	109	612

Stop Event

1×

saturated

Counts

158 → 89

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))

Outputs
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -3/2 c) (/.f64 b a))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(.f64 c (.f64 -3/2 (/.f64 a b)))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 1 (.f64 -2/3 b)) a)
✓	0.2b	(/.f64 1 (*.f64 -2/3 b))
	0.3b	(*.f64 -2/3 b)
✓	0.4b	(pow.f64 (.f64 (/.f64 1 (.f64 -2/3 b)) a) -1)

Compiler

Compiled 32 to 24 computations (25% saved)

series6.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(pow.f64 (.f64 (/.f64 1 (.f64 -2/3 b)) a) -1)
1.0ms	b	@	-inf	(pow.f64 (.f64 (/.f64 1 (.f64 -2/3 b)) a) -1)
1.0ms	a	@	-inf	(pow.f64 (.f64 (/.f64 1 (.f64 -2/3 b)) a) -1)
1.0ms	a	@	0	(pow.f64 (.f64 (/.f64 1 (.f64 -2/3 b)) a) -1)
0.0ms	a	@	inf	(pow.f64 (.f64 (/.f64 1 (.f64 -2/3 b)) a) -1)

rewrite86.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

903×	`pow1_binary64`
844×	`add-log-exp_binary64`
842×	`log1p-expm1-u_binary64`
842×	`expm1-log1p-u_binary64`
825×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	206	18
2	2385	18

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -3/2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -3/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -3/2 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 b 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -3/2 b)) (pow.f64 (cbrt.f64 (/.f64 -3/2 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -3/2 b)) 2) (cbrt.f64 (/.f64 -3/2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -3/2 b)) (sqrt.f64 (/.f64 -3/2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3/2 (pow.f64 b -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3/2 (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b -1) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 -2/3 b)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 -2/3 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 -2/3 b)) -1) (pow.f64 (sqrt.f64 (*.f64 -2/3 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/3 b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -3/2 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -3/2 b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -3/2 b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -3/2 b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 9/4 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -3/2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -3/2 b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -3/2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -3/2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -3/2 b)))))))

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

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`associate-/l*_binary64`
2×	`associate-*r/_binary64`
2×	`associate-*l/_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	384
1	16	384
2	22	384
3	29	384
4	31	384

Stop Event

1×

saturated

Counts

134 → 79

Calls

Call 1

Inputs
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 -3/2 b)
(/.f64 -3/2 b)
(/.f64 -3/2 b)
(/.f64 -3/2 b)
(/.f64 -3/2 b)
(/.f64 -3/2 b)
(/.f64 -3/2 b)
(/.f64 -3/2 b)
(/.f64 -3/2 b)
(/.f64 -3/2 b)
(/.f64 -3/2 b)
(/.f64 -3/2 b)
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))

Outputs
(*.f64 -2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(/.f64 -3/2 b)
(/.f64 -3/2 b)
(/.f64 -3/2 b)
(/.f64 -3/2 b)
(/.f64 -3/2 b)
(/.f64 -3/2 b)
(/.f64 -3/2 b)
(/.f64 -3/2 b)
(/.f64 -3/2 b)
(/.f64 -3/2 b)
(/.f64 -3/2 b)
(/.f64 -3/2 b)
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (pow.f64 (/.f64 b a) 2) 4/9)
✓	0.2b	(pow.f64 (/.f64 b a) 2)
✓	18.8b	(sqrt.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9))

Compiler

Compiled 30 to 17 computations (43.3% saved)

series10.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(*.f64 (pow.f64 (/.f64 b a) 2) 4/9)
1.0ms	a	@	0	(*.f64 (pow.f64 (/.f64 b a) 2) 4/9)
1.0ms	b	@	inf	(*.f64 (pow.f64 (/.f64 b a) 2) 4/9)
1.0ms	b	@	-inf	(pow.f64 (/.f64 b a) 2)
1.0ms	b	@	0	(sqrt.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9))

rewrite70.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`pow1_binary64`
783×	`add-log-exp_binary64`
783×	`log1p-expm1-u_binary64`
783×	`expm1-log1p-u_binary64`
765×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	191	24
2	2197	24

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9))
(pow.f64 (/.f64 b a) 2)
(*.f64 (pow.f64 (/.f64 b a) 2) 4/9)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 b a) 2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) (pow.f64 4/9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b a) 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 b a) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 b a) 2/3)) 2) (cbrt.f64 (*.f64 (/.f64 b a) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 b a) 2/3)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 b a) 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 b a) 2/3)) (sqrt.f64 (*.f64 (/.f64 b a) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 b a) 4) 16/81))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 b a) 2/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 4/9 1/2) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (/.f64 b a) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 b a) 4) 16/81)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 b a) 2/3)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b a) 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 b a) 2/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 b a) 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 b a) 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 b a) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 b a) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 b a) 2/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 b a) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 b a) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 b a) 2/3)))))))

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b a) 2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 b a) 4) 16/81) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 b a) 2/3)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 b a) 4) 16/81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4/9) (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9)))))))

simplify157.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

779×	`associate-/l*_binary64`
483×	`associate-/r*_binary64`
482×	`sqr-pow_binary64`
378×	`associate-/l/_binary64`
366×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	720
1	31	720
2	62	720
3	178	720
4	867	720
5	5294	720
6	6036	720
7	6272	720
8	6485	720
9	6733	720
10	7070	720
11	7504	720

Stop Event

1×	node limit

Counts

142 → 77

Calls

Call 1

Inputs
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))

Outputs
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(/.f64 b (/.f64 a 2/3))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(/.f64 b (/.f64 a 2/3))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (/.f64 (.f64 b b) (*.f64 a a)) 4/9)
(.f64 (.f64 (/.f64 b a) (/.f64 b a)) 4/9)
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 (.f64 b b) (/.f64 4/9 (*.f64 a a)))
(/.f64 b (.f64 a (/.f64 a (.f64 b 4/9))))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (/.f64 (.f64 b b) (*.f64 a a)) 4/9)
(.f64 (.f64 (/.f64 b a) (/.f64 b a)) 4/9)
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 (.f64 b b) (/.f64 4/9 (*.f64 a a)))
(/.f64 b (.f64 a (/.f64 a (.f64 b 4/9))))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (/.f64 (.f64 b b) (*.f64 a a)) 4/9)
(.f64 (.f64 (/.f64 b a) (/.f64 b a)) 4/9)
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 (.f64 b b) (/.f64 4/9 (*.f64 a a)))
(/.f64 b (.f64 a (/.f64 a (.f64 b 4/9))))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (/.f64 (.f64 b b) (*.f64 a a)) 4/9)
(.f64 (.f64 (/.f64 b a) (/.f64 b a)) 4/9)
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 (.f64 b b) (/.f64 4/9 (*.f64 a a)))
(/.f64 b (.f64 a (/.f64 a (.f64 b 4/9))))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (/.f64 (.f64 b b) (*.f64 a a)) 4/9)
(.f64 (.f64 (/.f64 b a) (/.f64 b a)) 4/9)
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 (.f64 b b) (/.f64 4/9 (*.f64 a a)))
(/.f64 b (.f64 a (/.f64 a (.f64 b 4/9))))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (/.f64 (.f64 b b) (*.f64 a a)) 4/9)
(.f64 (.f64 (/.f64 b a) (/.f64 b a)) 4/9)
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 (.f64 b b) (/.f64 4/9 (*.f64 a a)))
(/.f64 b (.f64 a (/.f64 a (.f64 b 4/9))))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (/.f64 (.f64 b b) (*.f64 a a)) 4/9)
(.f64 (.f64 (/.f64 b a) (/.f64 b a)) 4/9)
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 (.f64 b b) (/.f64 4/9 (*.f64 a a)))
(/.f64 b (.f64 a (/.f64 a (.f64 b 4/9))))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (/.f64 (.f64 b b) (*.f64 a a)) 4/9)
(.f64 (.f64 (/.f64 b a) (/.f64 b a)) 4/9)
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 (.f64 b b) (/.f64 4/9 (*.f64 a a)))
(/.f64 b (.f64 a (/.f64 a (.f64 b 4/9))))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (/.f64 (.f64 b b) (*.f64 a a)) 4/9)
(.f64 (.f64 (/.f64 b a) (/.f64 b a)) 4/9)
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 (.f64 b b) (/.f64 4/9 (*.f64 a a)))
(/.f64 b (.f64 a (/.f64 a (.f64 b 4/9))))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (/.f64 (.f64 b b) (*.f64 a a)) 4/9)
(.f64 (.f64 (/.f64 b a) (/.f64 b a)) 4/9)
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 (.f64 b b) (/.f64 4/9 (*.f64 a a)))
(/.f64 b (.f64 a (/.f64 a (.f64 b 4/9))))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (/.f64 (.f64 b b) (*.f64 a a)) 4/9)
(.f64 (.f64 (/.f64 b a) (/.f64 b a)) 4/9)
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 (.f64 b b) (/.f64 4/9 (*.f64 a a)))
(/.f64 b (.f64 a (/.f64 a (.f64 b 4/9))))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (/.f64 (.f64 b b) (*.f64 a a)) 4/9)
(.f64 (.f64 (/.f64 b a) (/.f64 b a)) 4/9)
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 (.f64 b b) (/.f64 4/9 (*.f64 a a)))
(/.f64 b (.f64 a (/.f64 a (.f64 b 4/9))))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (/.f64 (.f64 b b) (*.f64 a a)) 4/9)
(.f64 (.f64 (/.f64 b a) (/.f64 b a)) 4/9)
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 (.f64 b b) (/.f64 4/9 (*.f64 a a)))
(/.f64 b (.f64 a (/.f64 a (.f64 b 4/9))))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (/.f64 (.f64 b b) (*.f64 a a)) 4/9)
(.f64 (.f64 (/.f64 b a) (/.f64 b a)) 4/9)
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 (.f64 b b) (/.f64 4/9 (*.f64 a a)))
(/.f64 b (.f64 a (/.f64 a (.f64 b 4/9))))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (/.f64 (.f64 b b) (*.f64 a a)) 4/9)
(.f64 (.f64 (/.f64 b a) (/.f64 b a)) 4/9)
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 (.f64 b b) (/.f64 4/9 (*.f64 a a)))
(/.f64 b (.f64 a (/.f64 a (.f64 b 4/9))))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (/.f64 (.f64 b b) (*.f64 a a)) 4/9)
(.f64 (.f64 (/.f64 b a) (/.f64 b a)) 4/9)
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 (.f64 b b) (/.f64 4/9 (*.f64 a a)))
(/.f64 b (.f64 a (/.f64 a (.f64 b 4/9))))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (/.f64 (.f64 b b) (*.f64 a a)) 4/9)
(.f64 (.f64 (/.f64 b a) (/.f64 b a)) 4/9)
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 (.f64 b b) (/.f64 4/9 (*.f64 a a)))
(/.f64 b (.f64 a (/.f64 a (.f64 b 4/9))))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (/.f64 (.f64 b b) (*.f64 a a)) 4/9)
(.f64 (.f64 (/.f64 b a) (/.f64 b a)) 4/9)
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 (.f64 b b) (/.f64 4/9 (*.f64 a a)))
(/.f64 b (.f64 a (/.f64 a (.f64 b 4/9))))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (/.f64 (.f64 b b) (*.f64 a a)) 4/9)
(.f64 (.f64 (/.f64 b a) (/.f64 b a)) 4/9)
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 (.f64 b b) (/.f64 4/9 (*.f64 a a)))
(/.f64 b (.f64 a (/.f64 a (.f64 b 4/9))))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (/.f64 (.f64 b b) (*.f64 a a)) 4/9)
(.f64 (.f64 (/.f64 b a) (/.f64 b a)) 4/9)
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 (.f64 b b) (/.f64 4/9 (*.f64 a a)))
(/.f64 b (.f64 a (/.f64 a (.f64 b 4/9))))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (/.f64 (.f64 b b) (*.f64 a a)) 4/9)
(.f64 (.f64 (/.f64 b a) (/.f64 b a)) 4/9)
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 (.f64 b b) (/.f64 4/9 (*.f64 a a)))
(/.f64 b (.f64 a (/.f64 a (.f64 b 4/9))))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (/.f64 (.f64 b b) (*.f64 a a)) 4/9)
(.f64 (.f64 (/.f64 b a) (/.f64 b a)) 4/9)
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 (.f64 b b) (/.f64 4/9 (*.f64 a a)))
(/.f64 b (.f64 a (/.f64 a (.f64 b 4/9))))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (/.f64 (.f64 b b) (*.f64 a a)) 4/9)
(.f64 (.f64 (/.f64 b a) (/.f64 b a)) 4/9)
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 (.f64 b b) (/.f64 4/9 (*.f64 a a)))
(/.f64 b (.f64 a (/.f64 a (.f64 b 4/9))))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 (/.f64 (.f64 b b) (*.f64 a a)) 4/9)
(.f64 (.f64 (/.f64 b a) (/.f64 b a)) 4/9)
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 (.f64 b b) (/.f64 4/9 (*.f64 a a)))
(/.f64 b (.f64 a (/.f64 a (.f64 b 4/9))))

eval161.0ms (0.7%)

Compiler: Compiled 7584 to 5010 computations (33.9% saved)

prune115.0ms (0.5%)

Pruning

52 alts after pruning (45 fresh and 7 done)

	Pruned	Kept	Total
New	455	18	473
Fresh	12	27	39
Picked	1	0	1
Done	3	7	10
Total	471	52	523

Error

2.2b

Counts

523 → 52

Alt Table

Click to see full alt table

Status	Error	Program
	43.4b	(/.f64 (.f64 (/.f64 (.f64 c a) b) -1/2) a)
	38.0b	(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/6) 3) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	46.5b	(pow.f64 (/.f64 (/.f64 a -2/3) b) -1)
	44.4b	(/.f64 (.f64 (.f64 c a) -3/2) (.f64 (.f64 a 3) b))
	44.9b	(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3) a)
	62.2b	(/.f64 b (/.f64 a 2/3))
	56.7b	(/.f64 1/2 (/.f64 b c))
	56.3b	0
✓	34.6b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 (pow.f64 (cbrt.f64 1/3) 3) a))
	47.4b	(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
	57.6b	(sqrt.f64 (*.f64 (/.f64 (/.f64 b a) (/.f64 a b)) 4/9))
	46.8b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (.f64 a 3/2)) b) b) (.f64 (/.f64 1 a) 1/3))
	46.7b	(+.f64 (/.f64 (.f64 -2/3 b) a) (.f64 1/2 (/.f64 c b)))
	44.9b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	46.8b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
	44.9b	(/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) (*.f64 a 3))
	46.5b	(/.f64 (.f64 b -2) (.f64 3 a))
	62.6b	(expm1.f64 (log1p.f64 (*.f64 (/.f64 b a) 2/3)))
	46.5b	(pow.f64 (.f64 (.f64 -3/2 (/.f64 1 b)) a) -1)
	46.5b	(/.f64 (/.f64 1 a) (/.f64 -3/2 b))
	56.8b	(/.f64 (/.f64 (*.f64 1/2 c) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
	58.1b	(exp.f64 (log.f64 (*.f64 1/2 (/.f64 c b))))
✓	44.0b	(.f64 (.f64 c (*.f64 -3/2 (/.f64 a b))) (/.f64 1/3 a))
✓	46.7b	(/.f64 (/.f64 (*.f64 -2/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	46.8b	(*.f64 (-.f64 (neg.f64 b) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	46.5b	(/.f64 (*.f64 -2/3 b) a)
	46.5b	(/.f64 -2/3 (/.f64 a b))
	37.8b	(/.f64 (*.f64 -1/2 c) b)
	55.9b	(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 -2/3 (/.f64 a b)))) 1/3))
	62.2b	(*.f64 (/.f64 b a) 2/3)
✓	51.1b	(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))
	45.2b	(pow.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) (/.f64 1/3 a))) 3)
	63.0b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 b a) 2/3)) 2)
	46.4b	(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
✓	46.5b	(*.f64 -2/3 (/.f64 b a))
	38.4b	(/.f64 -1/2 (/.f64 b c))
	57.1b	(sqrt.f64 (/.f64 b (.f64 a (/.f64 a (.f64 b 4/9)))))
	49.3b	(/.f64 (/.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 -2/3 b))) 2)) (cbrt.f64 (log.f64 (.f64 -2/3 b)))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	46.5b	(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
	53.3b	(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
	44.9b	(.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 (/.f64 1 a) 1/3))
	49.3b	(pow.f64 (.f64 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 -2/3 b))) 2)) (cbrt.f64 (log.f64 (*.f64 -2/3 b))))) a) -1)
	47.7b	(/.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -2/3 b)) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	38.0b	(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/6) 3) b) (/.f64 1/3 a))
	53.3b	(pow.f64 (.f64 (/.f64 1 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 -2/3 b)))) (sqrt.f64 (log.f64 (*.f64 -2/3 b))))) a) -1)
	52.5b	(.f64 (-.f64 (.f64 (sqrt.f64 (*.f64 -3 c)) (sqrt.f64 a)) b) (/.f64 1/3 a))
✓	34.3b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
	48.6b	(/.f64 (.f64 (-.f64 (.f64 a (.f64 -3 c)) (.f64 b b)) 1/3) (.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) a))
	42.4b	(/.f64 (.f64 (/.f64 (.f64 c -3/2) b) a) (*.f64 3 a))
	44.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
✓	34.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	55.8b	(exp.f64 (log.f64 (/.f64 (*.f64 -2/3 b) a)))

Compiler

Compiled 731 to 550 computations (24.8% saved)

regimes2.6s (11.6%)

Counts

98 → 3

Calls

Call 1

Inputs
0
(/.f64 b (/.f64 a 2/3))
(/.f64 1/2 (/.f64 b c))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) 2/3)
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(/.f64 -1/2 (/.f64 b c))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (/.f64 1 a) (/.f64 -3/2 b))
(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
(/.f64 (.f64 b -2) (.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(/.f64 (.f64 (/.f64 (.f64 c a) b) -1/2) a)
(.f64 (.f64 b -2) (*.f64 (/.f64 1 a) 1/3))
(+.f64 (/.f64 (.f64 -2/3 b) a) (.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c)))
(/.f64 (.f64 (.f64 c a) -3/2) (.f64 (.f64 a 3) b))
(/.f64 (.f64 c (.f64 a (*.f64 -3/2 (/.f64 1/3 a)))) b)
(.f64 (.f64 c (*.f64 -3/2 (/.f64 a b))) (/.f64 1/3 a))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(/.f64 (.f64 (/.f64 (.f64 c -3/2) b) a) (*.f64 3 a))
(/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) -1/3) (neg.f64 a))
(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (.f64 a 3/2)) b) b) (.f64 (/.f64 1 a) 1/3))
(pow.f64 (/.f64 (/.f64 a -2/3) b) -1)
(pow.f64 (.f64 (.f64 -3/2 (/.f64 1 b)) a) -1)
(pow.f64 (.f64 (/.f64 1 (.f64 -2/3 b)) a) -1)
(sqrt.f64 (*.f64 (/.f64 (/.f64 b a) (/.f64 a b)) 4/9))
(sqrt.f64 (/.f64 b (.f64 a (/.f64 a (.f64 b 4/9)))))
(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (.f64 3 a))
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3) a)
(/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) (*.f64 a 3))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 (/.f64 1 a) 1/3))
(.f64 (-.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(/.f64 (.f64 (-.f64 (.f64 a (.f64 -3 c)) (.f64 b b)) 1/3) (.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) a))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 b a) 2/3)))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 c b))))
(exp.f64 (log.f64 (/.f64 (*.f64 -2/3 b) a)))
(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b))))
(exp.f64 (log.f64 (/.f64 -2/3 (/.f64 a b))))
(exp.f64 (log.f64 (*.f64 -2/3 (/.f64 b a))))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 b a) 2/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9))
(*.f64 (-.f64 (neg.f64 b) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 -2/3 (/.f64 a b)))) 1/3))
(.f64 (-.f64 (.f64 (sqrt.f64 (*.f64 -3 c)) (sqrt.f64 a)) b) (/.f64 1/3 a))
(.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)))) (/.f64 1/3 a))
(.f64 1/3 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
(.f64 (/.f64 1 a) (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 1/3))
(.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)))) 1/3)) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (/.f64 1 a) 1/3))
(/.f64 (/.f64 (*.f64 1/2 c) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(/.f64 (/.f64 (*.f64 -2/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
(pow.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) (/.f64 1/3 a))) 3)
(+.f64 (.f64 -2/3 (/.f64 b a)) (/.f64 (/.f64 (.f64 1/2 c) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b)))
(.f64 (-.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -3) (*.f64 b b))) 3/2) b) (/.f64 1/3 a))
(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/6) 3) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 (pow.f64 (cbrt.f64 1/3) 3) a))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2))
(fma.f64 1/2 (/.f64 c b) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a))) 3/8 (.f64 (/.f64 -2/3 a) b)))
(.f64 (/.f64 (-.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (/.f64 1/3 a))
(.f64 (/.f64 (-.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (/.f64 1/3 a))
(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
(pow.f64 (cbrt.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) (/.f64 1/3 a))) 3)
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2))
(/.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -2/3 b)) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(.f64 (-.f64 (.f64 (fabs.f64 (pow.f64 (cbrt.f64 b) 2)) (fabs.f64 (cbrt.f64 b))) b) (/.f64 1/3 a))
(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/6) 3) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
(pow.f64 (.f64 (/.f64 1 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 -2/3 b)))) (sqrt.f64 (log.f64 (*.f64 -2/3 b))))) a) -1)
(pow.f64 (.f64 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 -2/3 b))) 2)) (cbrt.f64 (log.f64 (*.f64 -2/3 b))))) a) -1)
(/.f64 (/.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 -2/3 b)))) (sqrt.f64 (log.f64 (.f64 -2/3 b)))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(/.f64 (/.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 -2/3 b))) 2)) (cbrt.f64 (log.f64 (.f64 -2/3 b)))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))

Outputs
(/.f64 (/.f64 1 a) (/.f64 -3/2 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(/.f64 (*.f64 -1/2 c) b)

Calls

7 calls:

596.0ms	a
529.0ms	(*.f64 3 a)
470.0ms	(*.f64 3 a)
466.0ms	c
234.0ms	b

Results

Error	Segments	Branch
25.4b	8	`a`
7.6b	3	`b`
25.9b	10	`c`
11.3b	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
11.3b	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
25.4b	8	`(*.f64 3 a)`
25.4b	8	`(*.f64 3 a)`

Compiler

Compiled 1226 to 760 computations (38% saved)

bsearch257.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
154.0ms	5.219241473833618e-29	4.648559144091898e-26
102.0ms	-9.545366004348992e+114	-1.6425937394093643e+100

Compiler

Compiled 586 to 435 computations (25.8% saved)

regimes2.2s (9.8%)

Counts

54 → 3

Calls

Call 1

Inputs
0
(/.f64 b (/.f64 a 2/3))
(/.f64 1/2 (/.f64 b c))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) 2/3)
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(/.f64 -1/2 (/.f64 b c))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (/.f64 1 a) (/.f64 -3/2 b))
(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
(/.f64 (.f64 b -2) (.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(/.f64 (.f64 (/.f64 (.f64 c a) b) -1/2) a)
(.f64 (.f64 b -2) (*.f64 (/.f64 1 a) 1/3))
(+.f64 (/.f64 (.f64 -2/3 b) a) (.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c)))
(/.f64 (.f64 (.f64 c a) -3/2) (.f64 (.f64 a 3) b))
(/.f64 (.f64 c (.f64 a (*.f64 -3/2 (/.f64 1/3 a)))) b)
(.f64 (.f64 c (*.f64 -3/2 (/.f64 a b))) (/.f64 1/3 a))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(/.f64 (.f64 (/.f64 (.f64 c -3/2) b) a) (*.f64 3 a))
(/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) -1/3) (neg.f64 a))
(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (.f64 a 3/2)) b) b) (.f64 (/.f64 1 a) 1/3))
(pow.f64 (/.f64 (/.f64 a -2/3) b) -1)
(pow.f64 (.f64 (.f64 -3/2 (/.f64 1 b)) a) -1)
(pow.f64 (.f64 (/.f64 1 (.f64 -2/3 b)) a) -1)
(sqrt.f64 (*.f64 (/.f64 (/.f64 b a) (/.f64 a b)) 4/9))
(sqrt.f64 (/.f64 b (.f64 a (/.f64 a (.f64 b 4/9)))))
(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (.f64 3 a))
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3) a)
(/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) (*.f64 a 3))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 (/.f64 1 a) 1/3))
(.f64 (-.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))

Outputs
(/.f64 -2/3 (/.f64 a b))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
(/.f64 (*.f64 -1/2 c) b)

Calls

5 calls:

548.0ms	c
546.0ms	(*.f64 3 a)
545.0ms	a
367.0ms	(*.f64 3 a)
200.0ms	b

Results

Error	Segments	Branch
25.8b	10	`a`
7.7b	3	`b`
27.5b	10	`c`
25.8b	10	`(*.f64 3 a)`
25.8b	10	`(*.f64 3 a)`

Compiler

Compiled 521 to 310 computations (40.5% saved)

bsearch349.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
200.0ms	5.219241473833618e-29	4.648559144091898e-26
148.0ms	-1.6425937394093643e+100	-1.6591601614710425e+96

Compiler

Compiled 490 to 355 computations (27.6% saved)

regimes2.0s (8.7%)

Counts

53 → 3

Calls

Call 1

Inputs
0
(/.f64 b (/.f64 a 2/3))
(/.f64 1/2 (/.f64 b c))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) 2/3)
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(/.f64 -1/2 (/.f64 b c))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (/.f64 1 a) (/.f64 -3/2 b))
(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
(/.f64 (.f64 b -2) (.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(/.f64 (.f64 (/.f64 (.f64 c a) b) -1/2) a)
(.f64 (.f64 b -2) (*.f64 (/.f64 1 a) 1/3))
(+.f64 (/.f64 (.f64 -2/3 b) a) (.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c)))
(/.f64 (.f64 (.f64 c a) -3/2) (.f64 (.f64 a 3) b))
(/.f64 (.f64 c (.f64 a (*.f64 -3/2 (/.f64 1/3 a)))) b)
(.f64 (.f64 c (*.f64 -3/2 (/.f64 a b))) (/.f64 1/3 a))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(/.f64 (.f64 (/.f64 (.f64 c -3/2) b) a) (*.f64 3 a))
(/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) -1/3) (neg.f64 a))
(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (.f64 a 3/2)) b) b) (.f64 (/.f64 1 a) 1/3))
(pow.f64 (/.f64 (/.f64 a -2/3) b) -1)
(pow.f64 (.f64 (.f64 -3/2 (/.f64 1 b)) a) -1)
(pow.f64 (.f64 (/.f64 1 (.f64 -2/3 b)) a) -1)
(sqrt.f64 (*.f64 (/.f64 (/.f64 b a) (/.f64 a b)) 4/9))
(sqrt.f64 (/.f64 b (.f64 a (/.f64 a (.f64 b 4/9)))))
(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (.f64 3 a))
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3) a)
(/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) (*.f64 a 3))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 (/.f64 1 a) 1/3))
(.f64 (-.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) b) b) (/.f64 1/3 a))

Outputs
(+.f64 (/.f64 (.f64 -2/3 b) a) (.f64 1/2 (/.f64 c b)))
(.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 (/.f64 1 a) 1/3))
(/.f64 (*.f64 -1/2 c) b)

Calls

5 calls:

711.0ms	(*.f64 3 a)
511.0ms	(*.f64 3 a)
454.0ms	a
160.0ms	c
118.0ms	b

Results

Error	Segments	Branch
29.4b	13	`a`
10.9b	3	`b`
33.0b	6	`c`
29.4b	13	`(*.f64 3 a)`
29.4b	13	`(*.f64 3 a)`

Compiler

Compiled 505 to 301 computations (40.4% saved)

bsearch235.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
163.0ms	5.219241473833618e-29	4.648559144091898e-26
72.0ms	-1.5383196332578343e-88	-3.4074766029137446e-93

Compiler

Compiled 506 to 387 computations (23.5% saved)

regimes1.4s (6.3%)

Counts

51 → 3

Calls

Call 1

Inputs
0
(/.f64 b (/.f64 a 2/3))
(/.f64 1/2 (/.f64 b c))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) 2/3)
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(/.f64 -1/2 (/.f64 b c))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (/.f64 1 a) (/.f64 -3/2 b))
(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
(/.f64 (.f64 b -2) (.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(/.f64 (.f64 (/.f64 (.f64 c a) b) -1/2) a)
(.f64 (.f64 b -2) (*.f64 (/.f64 1 a) 1/3))
(+.f64 (/.f64 (.f64 -2/3 b) a) (.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c)))
(/.f64 (.f64 (.f64 c a) -3/2) (.f64 (.f64 a 3) b))
(/.f64 (.f64 c (.f64 a (*.f64 -3/2 (/.f64 1/3 a)))) b)
(.f64 (.f64 c (*.f64 -3/2 (/.f64 a b))) (/.f64 1/3 a))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(/.f64 (.f64 (/.f64 (.f64 c -3/2) b) a) (*.f64 3 a))
(/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) -1/3) (neg.f64 a))
(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (.f64 a 3/2)) b) b) (.f64 (/.f64 1 a) 1/3))
(pow.f64 (/.f64 (/.f64 a -2/3) b) -1)
(pow.f64 (.f64 (.f64 -3/2 (/.f64 1 b)) a) -1)
(pow.f64 (.f64 (/.f64 1 (.f64 -2/3 b)) a) -1)
(sqrt.f64 (*.f64 (/.f64 (/.f64 b a) (/.f64 a b)) 4/9))
(sqrt.f64 (/.f64 b (.f64 a (/.f64 a (.f64 b 4/9)))))
(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (.f64 3 a))
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3) a)
(/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) (*.f64 a 3))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))

Outputs
(+.f64 (/.f64 (.f64 -2/3 b) a) (.f64 1/2 (/.f64 c b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
(/.f64 (*.f64 -1/2 c) b)

Calls

5 calls:

431.0ms	a
404.0ms	(*.f64 3 a)
345.0ms	(*.f64 3 a)
164.0ms	c
70.0ms	b

Results

Error	Segments	Branch
29.4b	13	`a`
10.9b	3	`b`
33.0b	6	`c`
29.4b	13	`(*.f64 3 a)`
29.4b	13	`(*.f64 3 a)`

Compiler

Compiled 477 to 284 computations (40.5% saved)

bsearch424.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
270.0ms	5.219241473833618e-29	4.648559144091898e-26
154.0ms	-1.5383196332578343e-88	-3.4074766029137446e-93

Compiler

Compiled 490 to 371 computations (24.3% saved)

regimes2.1s (9.3%)

Counts

50 → 3

Calls

Call 1

Inputs
0
(/.f64 b (/.f64 a 2/3))
(/.f64 1/2 (/.f64 b c))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) 2/3)
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(/.f64 -1/2 (/.f64 b c))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (/.f64 1 a) (/.f64 -3/2 b))
(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
(/.f64 (.f64 b -2) (.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(/.f64 (.f64 (/.f64 (.f64 c a) b) -1/2) a)
(.f64 (.f64 b -2) (*.f64 (/.f64 1 a) 1/3))
(+.f64 (/.f64 (.f64 -2/3 b) a) (.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c)))
(/.f64 (.f64 (.f64 c a) -3/2) (.f64 (.f64 a 3) b))
(/.f64 (.f64 c (.f64 a (*.f64 -3/2 (/.f64 1/3 a)))) b)
(.f64 (.f64 c (*.f64 -3/2 (/.f64 a b))) (/.f64 1/3 a))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(/.f64 (.f64 (/.f64 (.f64 c -3/2) b) a) (*.f64 3 a))
(/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) -1/3) (neg.f64 a))
(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (.f64 a 3/2)) b) b) (.f64 (/.f64 1 a) 1/3))
(pow.f64 (/.f64 (/.f64 a -2/3) b) -1)
(pow.f64 (.f64 (.f64 -3/2 (/.f64 1 b)) a) -1)
(pow.f64 (.f64 (/.f64 1 (.f64 -2/3 b)) a) -1)
(sqrt.f64 (*.f64 (/.f64 (/.f64 b a) (/.f64 a b)) 4/9))
(sqrt.f64 (/.f64 b (.f64 a (/.f64 a (.f64 b 4/9)))))
(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (.f64 3 a))
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3) a)
(/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) (*.f64 a 3))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))

Outputs
(+.f64 (/.f64 (.f64 -2/3 b) a) (.f64 1/2 (/.f64 c b)))
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3) a)
(/.f64 (*.f64 -1/2 c) b)

Calls

5 calls:

696.0ms	(*.f64 3 a)
654.0ms	(*.f64 3 a)
351.0ms	a
235.0ms	c
146.0ms	b

Results

Error	Segments	Branch
29.4b	13	`a`
10.9b	3	`b`
33.0b	6	`c`
29.4b	13	`(*.f64 3 a)`
29.4b	13	`(*.f64 3 a)`

Compiler

Compiled 464 to 277 computations (40.3% saved)

bsearch283.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
213.0ms	5.219241473833618e-29	4.648559144091898e-26
69.0ms	-1.5383196332578343e-88	-3.4074766029137446e-93

Compiler

Compiled 474 to 355 computations (25.1% saved)

regimes1.1s (4.9%)

Counts

45 → 2

Calls

Call 1

Inputs
0
(/.f64 b (/.f64 a 2/3))
(/.f64 1/2 (/.f64 b c))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) 2/3)
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(/.f64 -1/2 (/.f64 b c))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (/.f64 1 a) (/.f64 -3/2 b))
(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
(/.f64 (.f64 b -2) (.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(/.f64 (.f64 (/.f64 (.f64 c a) b) -1/2) a)
(.f64 (.f64 b -2) (*.f64 (/.f64 1 a) 1/3))
(+.f64 (/.f64 (.f64 -2/3 b) a) (.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c)))
(/.f64 (.f64 (.f64 c a) -3/2) (.f64 (.f64 a 3) b))
(/.f64 (.f64 c (.f64 a (*.f64 -3/2 (/.f64 1/3 a)))) b)
(.f64 (.f64 c (*.f64 -3/2 (/.f64 a b))) (/.f64 1/3 a))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(/.f64 (.f64 (/.f64 (.f64 c -3/2) b) a) (*.f64 3 a))
(/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) -1/3) (neg.f64 a))
(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (.f64 a 3/2)) b) b) (.f64 (/.f64 1 a) 1/3))
(pow.f64 (/.f64 (/.f64 a -2/3) b) -1)
(pow.f64 (.f64 (.f64 -3/2 (/.f64 1 b)) a) -1)
(pow.f64 (.f64 (/.f64 1 (.f64 -2/3 b)) a) -1)
(sqrt.f64 (*.f64 (/.f64 (/.f64 b a) (/.f64 a b)) 4/9))
(sqrt.f64 (/.f64 b (.f64 a (/.f64 a (.f64 b 4/9)))))
(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (.f64 3 a))

Outputs
(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
(/.f64 (*.f64 -1/2 c) b)

Calls

5 calls:

397.0ms	a
261.0ms	(*.f64 3 a)
221.0ms	(*.f64 3 a)
148.0ms	c
79.0ms	b

Results

Error	Segments	Branch
33.0b	6	`a`
21.7b	2	`b`
36.5b	3	`c`
33.0b	6	`(*.f64 3 a)`
33.0b	6	`(*.f64 3 a)`

Compiler

Compiled 404 to 238 computations (41.1% saved)

bsearch58.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
57.0ms	7.7378279598941015e-208	1.191247931508725e-206

Compiler

Compiled 146 to 115 computations (21.2% saved)

regimes148.0ms (0.7%)

Counts

17 → 2

Calls

Call 1

Inputs
0
(/.f64 b (/.f64 a 2/3))
(/.f64 1/2 (/.f64 b c))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) 2/3)
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(/.f64 -1/2 (/.f64 b c))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (/.f64 1 a) (/.f64 -3/2 b))

Outputs
(/.f64 (/.f64 1 a) (/.f64 -3/2 b))
(/.f64 (*.f64 -1/2 c) b)

Calls

3 calls:

58.0ms	a
46.0ms	c
36.0ms	b

Results

Error	Segments	Branch
33.0b	6	`a`
21.8b	2	`b`
36.5b	3	`c`

Compiler

Compiled 98 to 57 computations (41.8% saved)

bsearch50.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
50.0ms	7.7378279598941015e-208	1.191247931508725e-206

Compiler

Compiled 146 to 115 computations (21.2% saved)

regimes190.0ms (0.8%)

Counts

16 → 2

Calls

Call 1

Inputs
0
(/.f64 b (/.f64 a 2/3))
(/.f64 1/2 (/.f64 b c))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) 2/3)
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(/.f64 -1/2 (/.f64 b c))
(*.f64 -1/2 (/.f64 c b))

Outputs
(/.f64 (*.f64 -2/3 b) a)
(/.f64 (*.f64 -1/2 c) b)

Calls

3 calls:

98.0ms	a
49.0ms	c
36.0ms	b

Results

Error	Segments	Branch
33.1b	6	`a`
21.8b	2	`b`
36.5b	3	`c`

Compiler

Compiled 91 to 52 computations (42.9% saved)

bsearch33.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	7.7378279598941015e-208	1.191247931508725e-206

Compiler

Compiled 134 to 103 computations (23.1% saved)

regimes33.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

Inputs
0
(/.f64 b (/.f64 a 2/3))
(/.f64 1/2 (/.f64 b c))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) 2/3)
(*.f64 1/2 (/.f64 c b))

Outputs
(/.f64 (*.f64 -2/3 b) a)
0

Calls

3 calls:

15.0ms	a
10.0ms	b
5.0ms	c

Results

Error	Segments	Branch
45.4b	2	`a`
40.5b	2	`b`
46.5b	1	`c`

Compiler

Compiled 46 to 31 computations (32.6% saved)

bsearch65.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
65.0ms	-5.587207127807994e-285	2.475904636816408e-282

Compiler

Compiled 194 to 163 computations (16% saved)

regimes41.0ms (0.2%)

Accuracy

Total -6.7b remaining (-11.9%)

Threshold costs -6.7b (-11.9%)

Counts

3 → 1

Calls

Call 1

Inputs
0
(/.f64 b (/.f64 a 2/3))
(/.f64 1/2 (/.f64 b c))

Outputs
0

Calls

3 calls:

32.0ms	c
4.0ms	a
4.0ms	b

Results

Error	Segments	Branch
56.3b	1	`a`
56.3b	1	`b`
56.3b	1	`c`

Compiler

Compiled 26 to 19 computations (26.9% saved)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

21×	`*-commutative_binary64`
12×	`+-commutative_binary64`
9×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	83	350
1	115	346
2	135	346
3	144	346
4	150	346
5	152	346

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b -16500000000000000553798037144898008410714620154037550289500216328104862161852990211177868257445019648) (/.f64 (/.f64 1 a) (/.f64 -3/2 b)) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b -1700000000000000049193481938541582894796449830576460365152778692755599005547450078922666900717568) (/.f64 -2/3 (/.f64 a b)) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b -32108980623861/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (+.f64 (/.f64 (.f64 -2/3 b) a) (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 (/.f64 1 a) 1/3)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b -32108980623861/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (+.f64 (/.f64 (.f64 -2/3 b) a) (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (.f64 3 a)) (/.f64 (.f64 -1/2 c) b)))
(if (<=.f64 b -32108980623861/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (+.f64 (/.f64 (.f64 -2/3 b) a) (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) 1/3) a) (/.f64 (.f64 -1/2 c) b)))
(if (<=.f64 b 8386191851779923/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (/.f64 1 (.f64 (/.f64 -3/2 b) a)) (/.f64 (.f64 -1/2 c) b))
(if (<=.f64 b 8386191851779923/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (/.f64 (/.f64 1 a) (/.f64 -3/2 b)) (/.f64 (*.f64 -1/2 c) b))
(if (<=.f64 b 8386191851779923/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (/.f64 (.f64 -2/3 b) a) (/.f64 (.f64 -1/2 c) b))
(if (<=.f64 b 0) (/.f64 (*.f64 -2/3 b) a) 0)
0

Outputs
(if (<=.f64 b -16500000000000000553798037144898008410714620154037550289500216328104862161852990211177868257445019648) (/.f64 (/.f64 1 a) (/.f64 -3/2 b)) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b -16500000000000000553798037144898008410714620154037550289500216328104862161852990211177868257445019648) (/.f64 (/.f64 1 a) (/.f64 -3/2 b)) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a 3) c)))) (.f64 a 3)) (/.f64 (*.f64 c -1/2) b)))
(if (<=.f64 b -16500000000000000553798037144898008410714620154037550289500216328104862161852990211177868257445019648) (/.f64 (/.f64 1 a) (/.f64 -3/2 b)) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (.f64 a 3)) (/.f64 (*.f64 c -1/2) b)))
(if (<=.f64 b -1700000000000000049193481938541582894796449830576460365152778692755599005547450078922666900717568) (/.f64 -2/3 (/.f64 a b)) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b -1700000000000000049193481938541582894796449830576460365152778692755599005547450078922666900717568) (/.f64 -2/3 (/.f64 a b)) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (/.f64 1/3 a)) (/.f64 (*.f64 c -1/2) b)))
(if (<=.f64 b -32108980623861/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (+.f64 (/.f64 (.f64 -2/3 b) a) (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 (/.f64 1 a) 1/3)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b -32108980623861/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (+.f64 (/.f64 (.f64 b -2/3) a) (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 (/.f64 1 a) 1/3)) (/.f64 (*.f64 c -1/2) b)))
(if (<=.f64 b -32108980623861/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (+.f64 (/.f64 (.f64 -2/3 b) a) (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (.f64 3 a)) (/.f64 (.f64 -1/2 c) b)))
(if (<=.f64 b -32108980623861/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (+.f64 (/.f64 (.f64 b -2/3) a) (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 a c)))) (.f64 a 3)) (/.f64 (.f64 c -1/2) b)))
(if (<=.f64 b -32108980623861/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (+.f64 (/.f64 (.f64 b -2/3) a) (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) (.f64 a 3)) (/.f64 (.f64 c -1/2) b)))
(if (<=.f64 b -32108980623861/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (+.f64 (/.f64 (.f64 -2/3 b) a) (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) 1/3) a) (/.f64 (.f64 -1/2 c) b)))
(if (<=.f64 b -32108980623861/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (+.f64 (/.f64 (.f64 b -2/3) a) (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 4816960962882615/89202980794122492566142873090593446023921664) (/.f64 (.f64 1/3 (-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)) a) (/.f64 (.f64 c -1/2) b)))
(if (<=.f64 b 8386191851779923/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (/.f64 1 (.f64 (/.f64 -3/2 b) a)) (/.f64 (.f64 -1/2 c) b))
(if (<=.f64 b 8386191851779923/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (/.f64 1 (.f64 a (/.f64 -3/2 b))) (/.f64 (.f64 c -1/2) b))
(if (<=.f64 b 8386191851779923/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (/.f64 (/.f64 1 a) (/.f64 -3/2 b)) (/.f64 (*.f64 -1/2 c) b))
(if (<=.f64 b 8386191851779923/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (/.f64 (/.f64 1 a) (/.f64 -3/2 b)) (/.f64 (*.f64 c -1/2) b))
(if (<=.f64 b 8386191851779923/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (/.f64 (.f64 -2/3 b) a) (/.f64 (.f64 -1/2 c) b))
(if (<=.f64 b 8386191851779923/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (/.f64 (.f64 b -2/3) a) (/.f64 (.f64 c -1/2) b))
(if (<=.f64 b 0) (/.f64 (*.f64 -2/3 b) a) 0)
(if (<=.f64 b 0) (/.f64 (*.f64 b -2/3) a) 0)
0

Compiler

Compiled 267 to 189 computations (29.2% saved)

soundness525.0ms (2.3%)

Algorithm

2×	egg-herbie

Rules

1220×	`fma-neg_binary64`
827×	`fma-def_binary64`
741×	`div-sub_binary64`
712×	`times-frac_binary64`
663×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	30	22
2	69	22
3	160	22
4	262	22
5	431	22
6	741	22
7	1339	22
8	2834	22
9	4740	22
10	6245	22
11	6866	22
12	7042	22
13	7147	22
14	7630	22
0	133	1747
1	396	1679
2	1356	1631
3	7801	1631

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 786 to 570 computations (27.5% saved)

end115.0ms (0.5%)

Compiler: Compiled 240 to 159 computations (33.8% saved)