Details

analyze513.0ms (2.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	93.6%	0.1%	0%	6.2%	0%	7
6.7%	6.2%	87.4%	0.1%	0%	6.2%	0%	8
11.1%	10.1%	81.1%	0.1%	0%	8.6%	0%	9
18%	15.6%	71%	0.1%	0%	13.3%	0%	10
25.9%	22%	63%	0.1%	0.8%	14%	0%	11
35.5%	29.1%	52.9%	0.1%	1.6%	16.4%	0%	12

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.9s (16.1%)

Results

903.0ms	5567×	body	256	valid
774.0ms	1168×	body	2048	valid
401.0ms	742×	body	1024	valid
301.0ms	415×	body	4096	valid
222.0ms	364×	body	512	valid
216.0ms	1011×	body	256	invalid
94.0ms	575×	body	256	infinite

Bogosity

preprocess86.0ms (0.5%)

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 (0.7%)

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

37.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
▶	37.4b	(/.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)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1/3 a)
✓	0.5b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)
✓	0.5b	(fma.f64 b b (.f64 c (.f64 a -3)))
✓	24.6b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))

Compiler

Compiled 62 to 36 computations (41.9% saved)

series24.0ms (0.1%)

Counts

4 → 76

Calls

30 calls:

Time	Variable		Point	Expression
5.0ms	a	@	0	(/.f64 1/3 a)
2.0ms	b	@	0	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))
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))))
1.0ms	b	@	inf	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))

rewrite86.0ms (0.5%)

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

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

simplify96.0ms (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))
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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)))))

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 3 a) c)
✓	0.4b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
✓	0.5b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
✓	24.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 69 to 35 computations (49.3% saved)

series50.0ms (0.3%)

Counts

4 → 100

Calls

33 calls:

Time	Variable		Point	Expression
26.0ms	c	@	-inf	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
2.0ms	b	@	0	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
1.0ms	a	@	0	(.f64 (.f64 3 a) c)
1.0ms	c	@	0	(.f64 (.f64 3 a) c)
1.0ms	c	@	inf	(.f64 (.f64 3 a) c)

rewrite177.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

704×	`fma-def_binary64`
634×	`log-prod_binary64`
357×	`fma-neg_binary64`
328×	`pow2_binary64`
224×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	275	47
2	3929	45

Stop Event

1×	node limit

Counts

4 → 310

Calls

Call 1

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

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

simplify104.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	1915
1	400	1847
2	1367	1799
3	7827	1799

Stop Event

1×	node limit

Counts

410 → 364

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 (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 -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 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))

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 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 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) b))
(fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) b))
(fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (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 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (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 (/.f64 (.f64 c c) (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 a 3)) (pow.f64 b 5)) b)))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -27/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) b)))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (/.f64 3/2 (/.f64 b (*.f64 c 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 c (/.f64 b a)) (fma.f64 9/8 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b)))
(-.f64 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 (.f64 (/.f64 (.f64 c c) (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) (.f64 c (*.f64 c 9/8))) (pow.f64 b 3))) 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 (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 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b))))
(fma.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) 27/16 (-.f64 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) 9/8)) b))
(-.f64 (fma.f64 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) 27/16 (fma.f64 (.f64 a (/.f64 c b)) 3/2 (/.f64 (.f64 (.f64 a a) (.f64 c (*.f64 c 9/8))) (pow.f64 b 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 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) b))
(fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) b))
(fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (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 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (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 (/.f64 (.f64 c c) (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 a 3)) (pow.f64 b 5)) b)))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -27/16 (/.f64 (pow.f64 a 3) (/.f64 (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 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) b))
(fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) b))
(fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (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 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (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 (/.f64 (.f64 c c) (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 a 3)) (pow.f64 b 5)) b)))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -27/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) b)))
(.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)))
(-.f64 (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))) 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 -3/2 (/.f64 b (*.f64 c a)))
(.f64 (/.f64 c b) (.f64 a -3/2))
(+.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 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (.f64 -3/2 (/.f64 c (/.f64 b a))))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 (.f64 -9/8 (.f64 c c)) (/.f64 (pow.f64 b 3) (.f64 a a))))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (/.f64 -9/8 (/.f64 (/.f64 (pow.f64 b 3) (.f64 c (*.f64 c a))) a)))
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(.f64 c (.f64 a 3))
(.f64 3 (.f64 c a))
(.f64 (.f64 c a) 3)
(.f64 c (.f64 a 3))
(.f64 3 (.f64 c a))
(.f64 (.f64 c a) 3)
(.f64 c (.f64 a 3))
(.f64 3 (.f64 c a))
(.f64 (.f64 c a) 3)
(.f64 c (.f64 a 3))
(.f64 3 (.f64 c a))
(.f64 (.f64 c a) 3)
(.f64 c (.f64 a 3))
(.f64 3 (.f64 c a))
(.f64 (.f64 c a) 3)
(.f64 c (.f64 a 3))
(.f64 3 (.f64 c a))
(.f64 (.f64 c a) 3)
(.f64 c (.f64 a 3))
(.f64 3 (.f64 c a))
(.f64 (.f64 c a) 3)
(.f64 c (.f64 a 3))
(.f64 3 (.f64 c a))
(.f64 (.f64 c a) 3)
(.f64 c (.f64 a 3))
(.f64 3 (.f64 c a))
(.f64 (.f64 c a) 3)
(.f64 c (.f64 a 3))
(.f64 3 (.f64 c a))
(.f64 (.f64 c a) 3)
(.f64 c (.f64 a 3))
(.f64 3 (.f64 c a))
(.f64 (.f64 c a) 3)
(.f64 c (.f64 a 3))
(.f64 3 (.f64 c a))
(.f64 (.f64 c a) 3)
(.f64 c (.f64 a 3))
(.f64 3 (.f64 c a))
(.f64 (.f64 c a) 3)
(.f64 c (.f64 a 3))
(.f64 3 (.f64 c a))
(.f64 (.f64 c a) 3)
(.f64 c (.f64 a 3))

eval426.0ms (2.3%)

Compiler: Compiled 16462 to 10287 computations (37.5% saved)

prune173.0ms (1%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	582	22	604
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	584	22	606

Error

10.7b

Counts

606 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	46.8b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	56.2b	(*.f64 (-.f64 b b) (/.f64 1/3 a))
	46.7b	(/.f64 (.f64 b -2) (.f64 3 a))
	49.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2))
	37.4b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
	47.0b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
	37.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (/.f64 1 a) 1/3))
▶	36.3b	(.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))) b)) 2) (/.f64 1/3 a))
	45.9b	(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2))) (*.f64 3 a))
	46.8b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
	36.6b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))) b)) 3) (/.f64 1/3 a))
	47.4b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (.f64 3 a))
▶	41.6b	(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 3 a))
▶	46.7b	(.f64 (.f64 b -2) (/.f64 1/3 a))
▶	56.3b	(.f64 (-.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) b) b) (/.f64 1/3 a))
	54.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (sqrt.f64 (/.f64 1/9 (.f64 a a))))
	46.8b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
▶	38.3b	(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/4) 2) b) (/.f64 1/3 a))
	41.7b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
	44.1b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
	37.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (.f64 3 c)))))) (.f64 3 a))
	41.2b	(.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))))) b) (/.f64 1/3 a))

Compiler

Compiled 774 to 550 computations (28.9% saved)

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 c (.f64 a -3))
✓	0.2b	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)) 2)
	0.4b	(/.f64 1/3 a)
✓	13.7b	(sqrt.f64 (.f64 c (.f64 a -3)))

Compiler

Compiled 85 to 56 computations (34.1% saved)

series63.0ms (0.3%)

Counts

3 → 28

Calls

21 calls:

Time	Variable		Point	Expression
11.0ms	a	@	inf	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)) 2)
9.0ms	c	@	0	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)) 2)
8.0ms	c	@	-inf	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)) 2)
7.0ms	c	@	inf	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)) 2)
6.0ms	a	@	-inf	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)) 2)

rewrite83.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`log-prod_binary64`
566×	`prod-diff_binary64`
313×	`pow2_binary64`
248×	`fma-def_binary64`
218×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	278	31
2	3134	31

Stop Event

1×	node limit

Counts

3 → 159

Calls

Call 1

Inputs
(sqrt.f64 (.f64 c (.f64 a -3)))
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)) 2)
(.f64 c (.f64 a -3))

Outputs

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

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

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

simplify54.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-neg_binary64`
372×	`distribute-rgt-neg-in_binary64`
314×	`*-commutative_binary64`
240×	`associate-+l+_binary64`
226×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	332
1	124	323
2	389	323
3	1844	303
4	5965	297

Stop Event

1×	node limit

Counts

187 → 166

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 14 computations (30% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`pow1_binary64`
749×	`add-log-exp_binary64`
749×	`log1p-expm1-u_binary64`
749×	`expm1-log1p-u_binary64`
736×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	171	7
2	2038	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify10.0ms (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

46 → 23

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))

localize27.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.6b	(.f64 (/.f64 c b) (.f64 a -3/2))
✓	10.5b	(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 3 a))

Compiler

Compiled 35 to 19 computations (45.7% saved)

series21.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Expression
11.0ms	a	@	(.f64 (/.f64 c b) (.f64 a -3/2))
1.0ms	c	@	(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 3 a))
1.0ms	a	@	(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 3 a))
1.0ms	c	@	(.f64 (/.f64 c b) (.f64 a -3/2))
1.0ms	b	@	(.f64 (/.f64 c b) (.f64 a -3/2))

rewrite81.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

745×	`log-prod_binary64`
322×	`pow2_binary64`
265×	`pow-unpow_binary64`
227×	`pow1/3_binary64`
221×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	242	23
2	3518	17

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

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

Outputs

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

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

simplify28.0ms (0.2%)

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

171 → 102

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)))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1/3 a)
✓	1.7b	(-.f64 (fma.f64 -3/2 (*.f64 a (/.f64 c b)) b) b)
✓	3.6b	(.f64 (-.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) b) b) (/.f64 1/3 a))
✓	5.5b	(*.f64 a (/.f64 c b))

Compiler

Compiled 51 to 20 computations (60.8% saved)

series19.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	c	@	inf	(-.f64 (fma.f64 -3/2 (*.f64 a (/.f64 c b)) b) b)
1.0ms	a	@	-inf	(.f64 (-.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) b) b) (/.f64 1/3 a))
1.0ms	b	@	-inf	(.f64 (-.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) b) b) (/.f64 1/3 a))
1.0ms	c	@	-inf	(.f64 (-.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) b) b) (/.f64 1/3 a))
1.0ms	a	@	inf	(.f64 (-.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) b) b) (/.f64 1/3 a))

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

666×	`log-prod_binary64`
470×	`prod-diff_binary64`
355×	`pow2_binary64`
251×	`fma-def_binary64`
250×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	268	41
2	3671	41

Stop Event

1×	node limit

Counts

3 → 183

Calls

Call 1

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

Outputs

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

simplify35.0ms (0.2%)

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	864
1	20	864
2	37	864
3	67	864
4	98	864
5	109	864

Stop Event

1×

saturated

Counts

291 → 189

Calls

Call 1

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

localize71.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1/3 a)
✓	0.5b	(pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) 2)
✓	12.6b	(-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) 2) b)
✓	25.2b	(pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4)

Compiler

Compiled 81 to 46 computations (43.2% saved)

series69.0ms (0.4%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
16.0ms	c	@	inf	(pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4)
8.0ms	b	@	inf	(pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) 2)
4.0ms	c	@	inf	(-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) 2) b)
4.0ms	c	@	inf	(pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) 2)
3.0ms	c	@	0	(-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) 2) b)

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

752×	`prod-diff_binary64`
552×	`log-prod_binary64`
338×	`fma-def_binary64`
330×	`pow2_binary64`
225×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	283	43
2	3361	41

Stop Event

1×	node limit

Counts

3 → 168

Calls

Call 1

Inputs
(pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4)
(-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) 2) b)
(pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) 2)

Outputs

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

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

simplify228.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

744×	`fma-def_binary64`
551×	`associate-r_binary64`
410×	`associate-l_binary64`
360×	`times-frac_binary64`
310×	`associate-+l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	603	8436
1	2180	7544

Stop Event

1×	node limit

Counts

276 → 359

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(+.f64 (.f64 -3/4 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(+.f64 (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 9/32 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))) (+.f64 (.f64 -3/4 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))))
(+.f64 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -9/128 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 27/32 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 -9/4 (/.f64 (pow.f64 a 3) (pow.f64 b 6)))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))) (+.f64 (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 9/32 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))) (+.f64 (.f64 -3/4 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -3 a)))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a)))))) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -3 a))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/288 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/72 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a)))))) (pow.f64 c 2)) (+.f64 (.f64 -1/12 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a)))))) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -3 a)))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/324 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -1/10368 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 1/864 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a)))))) (pow.f64 c 3)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/288 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/72 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a)))))) (pow.f64 c 2)) (+.f64 (.f64 -1/12 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a)))))) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a))))))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (*.f64 3 a)))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (.f64 3 a))))) (.f64 -1/12 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (.f64 3 a))))) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (.f64 3 a))))) (+.f64 (.f64 1/288 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/72 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (pow.f64 c 2)) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (.f64 3 a))))) (.f64 -1/12 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (.f64 3 a))))) (pow.f64 b 2)) (*.f64 c a)))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (.f64 3 a))))) (+.f64 (.f64 1/288 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/72 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (pow.f64 c 2)) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (.f64 3 a))))) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (.f64 3 a))))) (+.f64 (.f64 1/324 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -1/864 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 1/10368 (/.f64 (pow.f64 b 6) (pow.f64 a 3)))))) (pow.f64 c 3))) (.f64 -1/12 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (.f64 3 a))))) (pow.f64 b 2)) (*.f64 c a))))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(+.f64 (.f64 -3/4 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 9/32 (/.f64 (pow.f64 c 2) (pow.f64 b 4))))) (sqrt.f64 b))) (+.f64 (.f64 -3/4 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))))
(+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -9/4 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (.f64 27/32 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (.f64 -9/128 (/.f64 (pow.f64 c 3) (pow.f64 b 6)))))) (sqrt.f64 b))) (+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 9/32 (/.f64 (pow.f64 c 2) (pow.f64 b 4))))) (sqrt.f64 b))) (+.f64 (.f64 -3/4 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (*.f64 -1 (log.f64 (/.f64 1 a))))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) (.f64 -1/12 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) (pow.f64 b 2)) (*.f64 c a))))
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b
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (*.f64 -1 (log.f64 (/.f64 1 a)))))) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) (.f64 -1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) (+.f64 (.f64 1/288 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 -1/72 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))) (.f64 1/144 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) (.f64 (+.f64 (.f64 1/288 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 -1/72 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 b 2))) (.f64 c (pow.f64 a 3)))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) (+.f64 (.f64 1/864 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 -1/324 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 -1/10368 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) (+.f64 (.f64 1/288 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 -1/72 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))) (.f64 1/144 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/288 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 -1/72 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (.f64 1/144 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 (.f64 1/288 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 -1/72 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) c)) (.f64 2 (.f64 (+.f64 (.f64 -1/864 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 1/10368 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 1/324 (/.f64 (pow.f64 b 6) (pow.f64 c 3))))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))) (pow.f64 a 3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/288 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 -1/72 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (.f64 1/144 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 -1/6 (.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 -1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 (+.f64 (.f64 1/144 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -3))) (.f64 -1/48 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -3)))) (pow.f64 b 4)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 (+.f64 (.f64 1/576 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (sqrt.f64 -3))) (.f64 -7/1728 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (sqrt.f64 -3)))) (pow.f64 b 6)) (+.f64 (.f64 (+.f64 (.f64 1/144 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -3))) (.f64 -1/48 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -3)))) (pow.f64 b 4)) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)))))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 9/32 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/16 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) b)))
(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -9/128 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 -9/4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 27/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 9/32 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 3))) (+.f64 (.f64 -3/4 (/.f64 (.f64 c (.f64 a (+.f64 (.f64 9/32 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2)))))) (pow.f64 b 5))) (+.f64 (.f64 -3/4 (/.f64 (.f64 c (.f64 (+.f64 (.f64 9/32 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b 5))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) 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 -2 (/.f64 (+.f64 (.f64 9/32 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 3))) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -1 b))))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 9/32 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -9/128 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 -9/4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 27/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b 5))) (+.f64 (.f64 3/4 (/.f64 (.f64 c (.f64 (+.f64 (.f64 9/32 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b 5))) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 3/4 (/.f64 (.f64 c (.f64 a (+.f64 (.f64 9/32 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2)))))) (pow.f64 b 5))) (*.f64 -1 b)))))))

Outputs
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(*.f64 1 (sqrt.f64 b))
(sqrt.f64 b)
(+.f64 (.f64 -3/4 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(fma.f64 -3/4 (.f64 c (.f64 a (.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (.f64 1 (sqrt.f64 b)))
(fma.f64 (.f64 -3/4 (.f64 c a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (sqrt.f64 b))
(+.f64 (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 9/32 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))) (+.f64 (.f64 -3/4 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))))
(fma.f64 (.f64 (.f64 c c) (.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) -27/32)) (.f64 1 (sqrt.f64 b)) (fma.f64 -3/4 (.f64 c (.f64 a (.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 1 (sqrt.f64 b))))
(fma.f64 (sqrt.f64 b) (.f64 a (.f64 a (.f64 (/.f64 c (/.f64 (pow.f64 b 4) c)) -27/32))) (fma.f64 (.f64 -3/4 (*.f64 c a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (sqrt.f64 b)))
(+.f64 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -9/128 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 27/32 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 -9/4 (/.f64 (pow.f64 a 3) (pow.f64 b 6)))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))) (+.f64 (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 9/32 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))) (+.f64 (.f64 -3/4 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(fma.f64 (.f64 (pow.f64 c 3) (fma.f64 -9/128 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) -45/32))) (.f64 1 (sqrt.f64 b)) (fma.f64 (.f64 (.f64 c c) (.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) -27/32)) (.f64 1 (sqrt.f64 b)) (fma.f64 -3/4 (.f64 c (.f64 a (.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (.f64 1 (sqrt.f64 b)))))
(+.f64 (.f64 (sqrt.f64 b) (+.f64 (.f64 (pow.f64 c 3) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) -189/128)) (.f64 a (.f64 a (.f64 (/.f64 c (/.f64 (pow.f64 b 4) c)) -27/32))))) (fma.f64 (.f64 -3/4 (.f64 c a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (sqrt.f64 b)))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -3 a)))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 c)) (log.f64 (*.f64 a -3))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -3)) (log.f64 c)))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a)))))) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -3 a))))))
(fma.f64 -1/12 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 c)) (log.f64 (.f64 a -3)))) a)) (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 c)) (log.f64 (.f64 a -3)))))
(fma.f64 -1/12 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -3)) (log.f64 c))) a)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -3)) (log.f64 c))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/288 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/72 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a)))))) (pow.f64 c 2)) (+.f64 (.f64 -1/12 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a)))))) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -3 a)))))))
(+.f64 (fma.f64 -1/12 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 c)) (log.f64 (.f64 a -3)))) a)) (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 c)) (log.f64 (.f64 a -3))))) (/.f64 (.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 c)) (log.f64 (.f64 a -3)))) (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -1/96)) (*.f64 c c)))
(+.f64 (fma.f64 -1/12 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -3)) (log.f64 c))) a)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -3)) (log.f64 c)))) (.f64 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -1/96) (.f64 c c)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -3)) (log.f64 c)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/324 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -1/10368 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 1/864 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a)))))) (pow.f64 c 3)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/288 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/72 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a)))))) (pow.f64 c 2)) (+.f64 (.f64 -1/12 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a)))))) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a))))))))
(+.f64 (+.f64 (fma.f64 -1/12 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 c)) (log.f64 (.f64 a -3)))) a)) (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 c)) (log.f64 (.f64 a -3))))) (/.f64 (.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 c)) (log.f64 (.f64 a -3)))) (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -1/96)) (.f64 c c))) (/.f64 (fma.f64 -1/324 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) 11/10368)) (/.f64 (pow.f64 c 3) (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 c)) (log.f64 (*.f64 a -3)))))))
(+.f64 (fma.f64 -1/12 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -3)) (log.f64 c))) a)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -3)) (log.f64 c)))) (+.f64 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -1/96) (.f64 c c)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -3)) (log.f64 c)))) (.f64 (/.f64 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -7/3456) (pow.f64 c 3)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -3)) (log.f64 c))))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (*.f64 3 a)))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 c)) (log.f64 (*.f64 a 3))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 3)) (log.f64 (/.f64 -1 c))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (.f64 3 a))))) (.f64 -1/12 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (.f64 3 a))))) (pow.f64 b 2)) (*.f64 c a))))
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(fma.f64 2 (/.f64 (.f64 c (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 3) -27/32)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 9/16 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a)) b)))
(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -9/128 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 -9/4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 27/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 9/32 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 3))) (+.f64 (.f64 -3/4 (/.f64 (.f64 c (.f64 a (+.f64 (.f64 9/32 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2)))))) (pow.f64 b 5))) (+.f64 (.f64 -3/4 (/.f64 (.f64 c (.f64 (+.f64 (.f64 9/32 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b 5))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) b))))))
(fma.f64 2 (/.f64 (fma.f64 -9/128 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -45/32)) (pow.f64 b 5)) (fma.f64 2 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -27/32) (pow.f64 b 3)) (fma.f64 -3/4 (/.f64 c (/.f64 (pow.f64 b 5) (.f64 a (.f64 (.f64 (.f64 c c) (.f64 a a)) -27/32)))) (fma.f64 -3/4 (/.f64 c (/.f64 (pow.f64 b 5) (.f64 a (.f64 (.f64 (.f64 c c) (.f64 a a)) -27/32)))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) b))))))
(fma.f64 2 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -189/128) (pow.f64 b 5)) (+.f64 (.f64 (.f64 (/.f64 c (pow.f64 b 5)) (.f64 a (.f64 (.f64 a a) (.f64 (.f64 c c) -27/32)))) -3/2) (fma.f64 2 (/.f64 (.f64 c (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 3) -27/32)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 9/16 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) b)))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (/.f64 (.f64 (.f64 3/2 c) a) b) b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 9/32 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 3))) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -1 b))))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 -2 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -27/32) (pow.f64 b 3)) (fma.f64 -9/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b))))
(fma.f64 (.f64 (/.f64 c b) a) 3/2 (-.f64 (fma.f64 (/.f64 (.f64 c (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 3) -27/32)) -2 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) -9/16)) b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 9/32 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -9/128 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 -9/4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 27/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b 5))) (+.f64 (.f64 3/4 (/.f64 (.f64 c (.f64 (+.f64 (.f64 9/32 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b 5))) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 3/4 (/.f64 (.f64 c (.f64 a (+.f64 (.f64 9/32 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2)))))) (pow.f64 b 5))) (*.f64 -1 b)))))))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 -2 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -27/32) (pow.f64 b 3)) (fma.f64 -2 (/.f64 (fma.f64 -9/128 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -45/32)) (pow.f64 b 5)) (fma.f64 3/4 (/.f64 c (/.f64 (pow.f64 b 5) (.f64 a (.f64 (.f64 (.f64 c c) (.f64 a a)) -27/32)))) (fma.f64 -9/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 3/4 (/.f64 c (/.f64 (pow.f64 b 5) (.f64 a (.f64 (.f64 (.f64 c c) (*.f64 a a)) -27/32)))) (neg.f64 b)))))))
(fma.f64 (.f64 (/.f64 c b) a) 3/2 (fma.f64 (/.f64 (.f64 c (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 3) -27/32)) -2 (fma.f64 -2 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -189/128) (pow.f64 b 5)) (fma.f64 (.f64 (/.f64 c (pow.f64 b 5)) (.f64 a (.f64 (.f64 a a) (.f64 (.f64 c c) -27/32)))) 3/4 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) -9/16 (fma.f64 (.f64 (/.f64 c (pow.f64 b 5)) (.f64 a (.f64 (.f64 a a) (.f64 (*.f64 c c) -27/32)))) 3/4 (neg.f64 b)))))))

eval1.3s (7%)

Compiler: Compiled 29879 to 19247 computations (35.6% saved)

prune307.0ms (1.7%)

Pruning

49 alts after pruning (48 fresh and 1 done)

	Pruned	Kept	Total
New	905	38	943
Fresh	7	10	17
Picked	1	0	1
Done	3	1	4
Total	916	49	965

Error

0.5b

Counts

965 → 49

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.7b	(.f64 (.f64 b -2) (/.f64 1/3 a))
	44.1b	(.f64 (/.f64 (.f64 (*.f64 -3/2 c) a) b) (/.f64 1/3 a))
	36.4b	(*.f64 c (/.f64 -1/2 b))
	36.4b	(.f64 (/.f64 c b) (.f64 (*.f64 a -3/2) (/.f64 1/3 a)))
	53.1b	(.f64 (sqrt.f64 (pow.f64 (fma.f64 (.f64 -3/2 a) (/.f64 c b) (-.f64 b b)) 2)) (/.f64 1/3 a))
	59.7b	(*.f64 (-.f64 (pow.f64 (sqrt.f64 b) 2) b) (/.f64 1/3 a))
	36.3b	(pow.f64 (*.f64 (/.f64 b c) -2) -1)
	52.4b	(.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (.f64 3 a))))) 2) b) (/.f64 1/3 a))
	42.0b	(/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 c b) (.f64 a -3/2))) 3) (*.f64 3 a))
	41.8b	(.f64 (.f64 (/.f64 c b) a) (*.f64 -3/2 (/.f64 1/3 a)))
▶	36.2b	(*.f64 (/.f64 c b) -1/2)
▶	41.8b	(.f64 (/.f64 (.f64 (/.f64 c b) a) -2) (/.f64 1 a))
	54.9b	(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c b) -1/2))) 1)
	46.9b	(/.f64 (/.f64 (*.f64 b -2/3) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	54.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (sqrt.f64 (/.f64 1/9 (.f64 a a))))
	56.8b	(.f64 (-.f64 (fma.f64 -3/2 (expm1.f64 (log1p.f64 (.f64 a (/.f64 c b)))) b) b) (/.f64 1/3 a))
	36.7b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) -1/2)) 3)
	55.1b	(exp.f64 (log.f64 (*.f64 b (/.f64 -2/3 a))))
	46.8b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	52.1b	(pow.f64 (pow.f64 (*.f64 (/.f64 c b) -1/2) 3) 1/3)
	36.3b	(.f64 (.f64 (/.f64 c b) 1/3) -3/2)
	46.7b	(.f64 (.f64 b -2) (*.f64 (/.f64 1 a) 1/3))
	56.2b	(*.f64 0 (/.f64 1/3 a))
	46.8b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
	46.7b	(/.f64 (*.f64 b -2/3) a)
	49.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2))
	46.8b	(.f64 (-.f64 (pow.f64 (pow.f64 (.f64 a (*.f64 c -3)) 1/4) 2) b) (/.f64 1/3 a))
	44.7b	(/.f64 (.f64 c (.f64 -3/2 (/.f64 a b))) (*.f64 3 a))
	46.7b	(/.f64 1 (/.f64 a (*.f64 b -2/3)))
	43.6b	(/.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 c b) (.f64 a -3/2)))) (*.f64 3 a))
▶	37.8b	(expm1.f64 (log1p.f64 (*.f64 (/.f64 c b) -1/2)))
	49.6b	(.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -3))) b) b) (/.f64 1/3 a))
	46.7b	(/.f64 (.f64 b -2) (.f64 a 3))
	46.9b	(.f64 (.f64 b -2) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	37.4b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
	46.7b	(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
▶	46.7b	(*.f64 -2/3 (/.f64 b a))
	47.0b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
▶	37.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (/.f64 1 a) 1/3))
	41.7b	(.f64 (/.f64 (.f64 (/.f64 c b) a) a) -1/2)
	45.9b	(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2))) (*.f64 3 a))
	57.4b	(sqrt.f64 (pow.f64 (*.f64 b (/.f64 -2/3 a)) 2))
	46.8b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
	60.5b	(.f64 (-.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) b) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
	37.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (.f64 3 c)))))) (.f64 3 a))
	56.3b	(.f64 (.f64 b -2) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))
	49.9b	(sqrt.f64 (/.f64 (pow.f64 (/.f64 c b) 2) 4))
	46.9b	(pow.f64 (cbrt.f64 (*.f64 b (/.f64 -2/3 a))) 3)
	52.4b	(.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) b) (/.f64 1/3 a))

Compiler

Compiled 1394 to 1050 computations (24.7% saved)

localize10.0ms (0.1%)

Compiler: Compiled 14 to 7 computations (50% saved)

localize12.0ms (0.1%)

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)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite60.0ms (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))))))))

simplify13.0ms (0.1%)

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

localize24.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (*.f64 (/.f64 c b) a) -2)
✓	5.5b	(*.f64 (/.f64 c b) a)
✓	10.6b	(.f64 (/.f64 (.f64 (/.f64 c b) a) -2) (/.f64 1 a))

Compiler

Compiled 37 to 16 computations (56.8% saved)

series17.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite94.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`log-prod_binary64`
432×	`pow-prod-down_binary64`
301×	`pow2_binary64`
227×	`log-div_binary64`
221×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	243	30
2	3344	24

Stop Event

1×	node limit

Counts

3 → 128

Calls

Call 1

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

Outputs

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

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

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

15×	`associate-/l*_binary64`
12×	`*-commutative_binary64`
9×	`associate-l_binary64`
9×	`associate-/r/_binary64`
8×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	864
1	19	864
2	34	864
3	57	864
4	80	864
5	90	864

Stop Event

1×

saturated

Counts

236 → 133

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

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

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.8b	(expm1.f64 (log1p.f64 (*.f64 (/.f64 c b) -1/2)))
✓	2.7b	(log1p.f64 (*.f64 (/.f64 c b) -1/2))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series12.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	b	@	inf	(log1p.f64 (*.f64 (/.f64 c b) -1/2))
2.0ms	c	@	0	(log1p.f64 (*.f64 (/.f64 c b) -1/2))
1.0ms	c	@	inf	(log1p.f64 (*.f64 (/.f64 c b) -1/2))
1.0ms	b	@	0	(log1p.f64 (*.f64 (/.f64 c b) -1/2))
1.0ms	c	@	-inf	(log1p.f64 (*.f64 (/.f64 c b) -1/2))

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

736×	`pow1_binary64`
683×	`expm1-log1p-u_binary64`
682×	`add-log-exp_binary64`
682×	`log1p-expm1-u_binary64`
668×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	148	16
2	1821	16

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(log1p.f64 (*.f64 (/.f64 c b) -1/2))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 c b) -1/2)))

Outputs

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

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

simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

738×	`associate-/r*_binary64`
642×	`associate-*l/_binary64`
477×	`associate-*r/_binary64`
464×	`associate-l_binary64`
440×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	854
1	220	810
2	686	759
3	2813	714

Stop Event

1×	node limit

Counts

102 → 80

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2))) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2))) (*.f64 -1/2 (/.f64 c b))))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -1/64 (/.f64 (pow.f64 c 4) (pow.f64 b 4))))))
(+.f64 (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 b)))) (.f64 -1 (log.f64 (/.f64 1 c))))
(+.f64 (.f64 -2 (/.f64 b c)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 b))))))
(+.f64 (.f64 -2 (/.f64 b c)) (+.f64 (.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 c 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 b)))))))
(+.f64 (.f64 -2 (/.f64 b c)) (+.f64 (.f64 -8/3 (/.f64 (pow.f64 b 3) (pow.f64 c 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 c 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 b))))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (/.f64 1/2 b)))
(+.f64 (.f64 -2 (/.f64 b c)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (/.f64 1/2 b))))
(+.f64 (.f64 -2 (/.f64 b c)) (+.f64 (.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 c 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (/.f64 1/2 b)))))
(+.f64 (.f64 -2 (/.f64 b c)) (+.f64 (.f64 -8/3 (/.f64 (pow.f64 b 3) (pow.f64 c 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 c 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (/.f64 1/2 b))))))
(+.f64 (log.f64 (.f64 -1/2 c)) (.f64 -1 (log.f64 b)))
(+.f64 (.f64 -2 (/.f64 b c)) (+.f64 (log.f64 (.f64 -1/2 c)) (*.f64 -1 (log.f64 b))))
(+.f64 (.f64 -2 (/.f64 b c)) (+.f64 (log.f64 (.f64 -1/2 c)) (+.f64 (.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 c 2))) (.f64 -1 (log.f64 b)))))
(+.f64 (.f64 -2 (/.f64 b c)) (+.f64 (.f64 -8/3 (/.f64 (pow.f64 b 3) (pow.f64 c 3))) (+.f64 (log.f64 (.f64 -1/2 c)) (+.f64 (.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 c 2))) (*.f64 -1 (log.f64 b))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2))) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2))) (*.f64 -1/2 (/.f64 c b))))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -1/64 (/.f64 (pow.f64 c 4) (pow.f64 b 4))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2))) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2))) (*.f64 -1/2 (/.f64 c b))))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -1/64 (/.f64 (pow.f64 c 4) (pow.f64 b 4))))))
(*.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))

Outputs
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2))) (.f64 -1/2 (/.f64 c b)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (.f64 b b)) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 -1/2 (/.f64 c b) (/.f64 -1/8 (*.f64 (/.f64 b c) (/.f64 b c))))
(fma.f64 -1/2 (/.f64 c b) (*.f64 (/.f64 c (/.f64 b c)) (/.f64 -1/8 b)))
(.f64 (/.f64 c b) (+.f64 -1/2 (/.f64 (.f64 c -1/8) b)))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2))) (*.f64 -1/2 (/.f64 c b))))
(fma.f64 -1/24 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (fma.f64 -1/8 (/.f64 (.f64 c c) (.f64 b b)) (/.f64 (*.f64 -1/2 c) b)))
(fma.f64 -1/24 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 c b) (/.f64 -1/8 (*.f64 (/.f64 b c) (/.f64 b c)))))
(fma.f64 -1/2 (/.f64 c b) (fma.f64 -1/24 (pow.f64 (/.f64 c b) 3) (*.f64 (/.f64 c (/.f64 b c)) (/.f64 -1/8 b))))
(fma.f64 -1/24 (pow.f64 (/.f64 c b) 3) (.f64 (/.f64 c b) (+.f64 -1/2 (/.f64 (.f64 c -1/8) b))))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -1/64 (/.f64 (pow.f64 c 4) (pow.f64 b 4))))))
(fma.f64 -1/24 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (fma.f64 -1/8 (/.f64 (.f64 c c) (.f64 b b)) (fma.f64 -1/2 (/.f64 c b) (/.f64 (*.f64 -1/64 (pow.f64 c 4)) (pow.f64 b 4)))))
(fma.f64 -1/24 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (fma.f64 -1/8 (.f64 (/.f64 c b) (/.f64 c b)) (fma.f64 -1/2 (/.f64 c b) (.f64 -1/64 (/.f64 (pow.f64 c 4) (pow.f64 b 4))))))
(fma.f64 -1/8 (.f64 (/.f64 c b) (/.f64 c b)) (fma.f64 -1/24 (pow.f64 (/.f64 c b) 3) (fma.f64 -1/2 (/.f64 c b) (/.f64 (.f64 -1/64 (pow.f64 c 4)) (pow.f64 b 4)))))
(fma.f64 -1/24 (pow.f64 (/.f64 c b) 3) (fma.f64 -1/64 (pow.f64 (/.f64 c b) 4) (.f64 (/.f64 c b) (+.f64 -1/2 (/.f64 (.f64 c -1/8) b)))))
(+.f64 (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 b)))) (.f64 -1 (log.f64 (/.f64 1 c))))
(fma.f64 -1 (neg.f64 (log.f64 c)) (log.f64 (neg.f64 (/.f64 1/2 b))))
(+.f64 (log.f64 (/.f64 -1/2 b)) (log.f64 c))
(-.f64 (log.f64 (*.f64 -1/2 c)) (log.f64 b))
(+.f64 (.f64 -2 (/.f64 b c)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 b))))))
(fma.f64 -2 (/.f64 b c) (fma.f64 -1 (neg.f64 (log.f64 c)) (log.f64 (neg.f64 (/.f64 1/2 b)))))
(+.f64 (log.f64 (/.f64 -1/2 b)) (fma.f64 -2 (/.f64 b c) (log.f64 c)))
(+.f64 (.f64 -2 (/.f64 b c)) (+.f64 (.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 c 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 b)))))))
(fma.f64 -2 (/.f64 b c) (fma.f64 -2 (/.f64 (.f64 b b) (.f64 c c)) (fma.f64 -1 (neg.f64 (log.f64 c)) (log.f64 (neg.f64 (/.f64 1/2 b))))))
(fma.f64 -2 (/.f64 b c) (+.f64 (log.f64 (/.f64 -1/2 b)) (fma.f64 -2 (*.f64 (/.f64 b c) (/.f64 b c)) (log.f64 c))))
(fma.f64 -2 (.f64 (+.f64 (/.f64 b c) 1) (/.f64 b c)) (-.f64 (log.f64 (.f64 -1/2 c)) (log.f64 b)))
(+.f64 (log.f64 (/.f64 -1/2 b)) (fma.f64 -2 (*.f64 (+.f64 (/.f64 b c) 1) (/.f64 b c)) (log.f64 c)))
(+.f64 (.f64 -2 (/.f64 b c)) (+.f64 (.f64 -8/3 (/.f64 (pow.f64 b 3) (pow.f64 c 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 c 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 b))))))))
(fma.f64 -2 (/.f64 b c) (fma.f64 -8/3 (/.f64 (pow.f64 b 3) (pow.f64 c 3)) (fma.f64 -2 (/.f64 (.f64 b b) (.f64 c c)) (fma.f64 -1 (neg.f64 (log.f64 c)) (log.f64 (neg.f64 (/.f64 1/2 b)))))))
(fma.f64 -2 (/.f64 b c) (fma.f64 -8/3 (/.f64 (pow.f64 b 3) (pow.f64 c 3)) (+.f64 (log.f64 (/.f64 -1/2 b)) (fma.f64 -2 (*.f64 (/.f64 b c) (/.f64 b c)) (log.f64 c)))))
(fma.f64 -8/3 (pow.f64 (/.f64 b c) 3) (fma.f64 -2 (.f64 (+.f64 (/.f64 b c) 1) (/.f64 b c)) (-.f64 (log.f64 (.f64 -1/2 c)) (log.f64 b))))
(fma.f64 -8/3 (pow.f64 (/.f64 b c) 3) (+.f64 (log.f64 (/.f64 -1/2 b)) (fma.f64 -2 (*.f64 (+.f64 (/.f64 b c) 1) (/.f64 b c)) (log.f64 c))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (/.f64 1/2 b)))
(fma.f64 -1 (log.f64 (/.f64 -1 c)) (log.f64 (/.f64 1/2 b)))
(-.f64 (log.f64 (/.f64 1/2 b)) (log.f64 (/.f64 -1 c)))
(+.f64 (.f64 -2 (/.f64 b c)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (/.f64 1/2 b))))
(fma.f64 -2 (/.f64 b c) (fma.f64 -1 (log.f64 (/.f64 -1 c)) (log.f64 (/.f64 1/2 b))))
(fma.f64 -2 (/.f64 b c) (-.f64 (log.f64 (/.f64 1/2 b)) (log.f64 (/.f64 -1 c))))
(-.f64 (fma.f64 -2 (/.f64 b c) (log.f64 (/.f64 1/2 b))) (log.f64 (/.f64 -1 c)))
(+.f64 (.f64 -2 (/.f64 b c)) (+.f64 (.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 c 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (/.f64 1/2 b)))))
(fma.f64 -2 (/.f64 b c) (fma.f64 -2 (/.f64 (.f64 b b) (.f64 c c)) (fma.f64 -1 (log.f64 (/.f64 -1 c)) (log.f64 (/.f64 1/2 b)))))
(fma.f64 -2 (/.f64 b c) (fma.f64 -2 (*.f64 (/.f64 b c) (/.f64 b c)) (-.f64 (log.f64 (/.f64 1/2 b)) (log.f64 (/.f64 -1 c)))))
(-.f64 (fma.f64 -2 (*.f64 (+.f64 (/.f64 b c) 1) (/.f64 b c)) (log.f64 (/.f64 1/2 b))) (log.f64 (/.f64 -1 c)))
(+.f64 (.f64 -2 (/.f64 b c)) (+.f64 (.f64 -8/3 (/.f64 (pow.f64 b 3) (pow.f64 c 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 c 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (/.f64 1/2 b))))))
(fma.f64 -2 (/.f64 b c) (fma.f64 -8/3 (/.f64 (pow.f64 b 3) (pow.f64 c 3)) (fma.f64 -2 (/.f64 (.f64 b b) (.f64 c c)) (fma.f64 -1 (log.f64 (/.f64 -1 c)) (log.f64 (/.f64 1/2 b))))))
(fma.f64 -2 (/.f64 b c) (fma.f64 -8/3 (/.f64 (pow.f64 b 3) (pow.f64 c 3)) (fma.f64 -2 (*.f64 (/.f64 b c) (/.f64 b c)) (-.f64 (log.f64 (/.f64 1/2 b)) (log.f64 (/.f64 -1 c))))))
(fma.f64 -8/3 (pow.f64 (/.f64 b c) 3) (-.f64 (fma.f64 -2 (*.f64 (+.f64 (/.f64 b c) 1) (/.f64 b c)) (log.f64 (/.f64 1/2 b))) (log.f64 (/.f64 -1 c))))
(+.f64 (log.f64 (.f64 -1/2 c)) (.f64 -1 (log.f64 b)))
(fma.f64 -1 (neg.f64 (log.f64 c)) (log.f64 (neg.f64 (/.f64 1/2 b))))
(+.f64 (log.f64 (/.f64 -1/2 b)) (log.f64 c))
(-.f64 (log.f64 (*.f64 -1/2 c)) (log.f64 b))
(+.f64 (.f64 -2 (/.f64 b c)) (+.f64 (log.f64 (.f64 -1/2 c)) (*.f64 -1 (log.f64 b))))
(fma.f64 -2 (/.f64 b c) (fma.f64 -1 (neg.f64 (log.f64 c)) (log.f64 (neg.f64 (/.f64 1/2 b)))))
(+.f64 (log.f64 (/.f64 -1/2 b)) (fma.f64 -2 (/.f64 b c) (log.f64 c)))
(+.f64 (.f64 -2 (/.f64 b c)) (+.f64 (log.f64 (.f64 -1/2 c)) (+.f64 (.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 c 2))) (.f64 -1 (log.f64 b)))))
(fma.f64 -2 (/.f64 b c) (fma.f64 -2 (/.f64 (.f64 b b) (.f64 c c)) (fma.f64 -1 (neg.f64 (log.f64 c)) (log.f64 (neg.f64 (/.f64 1/2 b))))))
(fma.f64 -2 (/.f64 b c) (+.f64 (log.f64 (/.f64 -1/2 b)) (fma.f64 -2 (*.f64 (/.f64 b c) (/.f64 b c)) (log.f64 c))))
(fma.f64 -2 (.f64 (+.f64 (/.f64 b c) 1) (/.f64 b c)) (-.f64 (log.f64 (.f64 -1/2 c)) (log.f64 b)))
(+.f64 (log.f64 (/.f64 -1/2 b)) (fma.f64 -2 (*.f64 (+.f64 (/.f64 b c) 1) (/.f64 b c)) (log.f64 c)))
(+.f64 (.f64 -2 (/.f64 b c)) (+.f64 (.f64 -8/3 (/.f64 (pow.f64 b 3) (pow.f64 c 3))) (+.f64 (log.f64 (.f64 -1/2 c)) (+.f64 (.f64 -2 (/.f64 (pow.f64 b 2) (pow.f64 c 2))) (*.f64 -1 (log.f64 b))))))
(fma.f64 -2 (/.f64 b c) (fma.f64 -8/3 (/.f64 (pow.f64 b 3) (pow.f64 c 3)) (fma.f64 -2 (/.f64 (.f64 b b) (.f64 c c)) (fma.f64 -1 (neg.f64 (log.f64 c)) (log.f64 (neg.f64 (/.f64 1/2 b)))))))
(fma.f64 -2 (/.f64 b c) (fma.f64 -8/3 (/.f64 (pow.f64 b 3) (pow.f64 c 3)) (+.f64 (log.f64 (/.f64 -1/2 b)) (fma.f64 -2 (*.f64 (/.f64 b c) (/.f64 b c)) (log.f64 c)))))
(fma.f64 -8/3 (pow.f64 (/.f64 b c) 3) (fma.f64 -2 (.f64 (+.f64 (/.f64 b c) 1) (/.f64 b c)) (-.f64 (log.f64 (.f64 -1/2 c)) (log.f64 b))))
(fma.f64 -8/3 (pow.f64 (/.f64 b c) 3) (+.f64 (log.f64 (/.f64 -1/2 b)) (fma.f64 -2 (*.f64 (+.f64 (/.f64 b c) 1) (/.f64 b c)) (log.f64 c))))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2))) (.f64 -1/2 (/.f64 c b)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (.f64 b b)) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 -1/2 (/.f64 c b) (/.f64 -1/8 (*.f64 (/.f64 b c) (/.f64 b c))))
(fma.f64 -1/2 (/.f64 c b) (*.f64 (/.f64 c (/.f64 b c)) (/.f64 -1/8 b)))
(.f64 (/.f64 c b) (+.f64 -1/2 (/.f64 (.f64 c -1/8) b)))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2))) (*.f64 -1/2 (/.f64 c b))))
(fma.f64 -1/24 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (fma.f64 -1/8 (/.f64 (.f64 c c) (.f64 b b)) (/.f64 (*.f64 -1/2 c) b)))
(fma.f64 -1/24 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 c b) (/.f64 -1/8 (*.f64 (/.f64 b c) (/.f64 b c)))))
(fma.f64 -1/2 (/.f64 c b) (fma.f64 -1/24 (pow.f64 (/.f64 c b) 3) (*.f64 (/.f64 c (/.f64 b c)) (/.f64 -1/8 b))))
(fma.f64 -1/24 (pow.f64 (/.f64 c b) 3) (.f64 (/.f64 c b) (+.f64 -1/2 (/.f64 (.f64 c -1/8) b))))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -1/64 (/.f64 (pow.f64 c 4) (pow.f64 b 4))))))
(fma.f64 -1/24 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (fma.f64 -1/8 (/.f64 (.f64 c c) (.f64 b b)) (fma.f64 -1/2 (/.f64 c b) (/.f64 (*.f64 -1/64 (pow.f64 c 4)) (pow.f64 b 4)))))
(fma.f64 -1/24 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (fma.f64 -1/8 (.f64 (/.f64 c b) (/.f64 c b)) (fma.f64 -1/2 (/.f64 c b) (.f64 -1/64 (/.f64 (pow.f64 c 4) (pow.f64 b 4))))))
(fma.f64 -1/8 (.f64 (/.f64 c b) (/.f64 c b)) (fma.f64 -1/24 (pow.f64 (/.f64 c b) 3) (fma.f64 -1/2 (/.f64 c b) (/.f64 (.f64 -1/64 (pow.f64 c 4)) (pow.f64 b 4)))))
(fma.f64 -1/24 (pow.f64 (/.f64 c b) 3) (fma.f64 -1/64 (pow.f64 (/.f64 c b) 4) (.f64 (/.f64 c b) (+.f64 -1/2 (/.f64 (.f64 c -1/8) b)))))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2))) (.f64 -1/2 (/.f64 c b)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (.f64 b b)) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 -1/2 (/.f64 c b) (/.f64 -1/8 (*.f64 (/.f64 b c) (/.f64 b c))))
(fma.f64 -1/2 (/.f64 c b) (*.f64 (/.f64 c (/.f64 b c)) (/.f64 -1/8 b)))
(.f64 (/.f64 c b) (+.f64 -1/2 (/.f64 (.f64 c -1/8) b)))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2))) (*.f64 -1/2 (/.f64 c b))))
(fma.f64 -1/24 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (fma.f64 -1/8 (/.f64 (.f64 c c) (.f64 b b)) (/.f64 (*.f64 -1/2 c) b)))
(fma.f64 -1/24 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 c b) (/.f64 -1/8 (*.f64 (/.f64 b c) (/.f64 b c)))))
(fma.f64 -1/2 (/.f64 c b) (fma.f64 -1/24 (pow.f64 (/.f64 c b) 3) (*.f64 (/.f64 c (/.f64 b c)) (/.f64 -1/8 b))))
(fma.f64 -1/24 (pow.f64 (/.f64 c b) 3) (.f64 (/.f64 c b) (+.f64 -1/2 (/.f64 (.f64 c -1/8) b))))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -1/64 (/.f64 (pow.f64 c 4) (pow.f64 b 4))))))
(fma.f64 -1/24 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (fma.f64 -1/8 (/.f64 (.f64 c c) (.f64 b b)) (fma.f64 -1/2 (/.f64 c b) (/.f64 (*.f64 -1/64 (pow.f64 c 4)) (pow.f64 b 4)))))
(fma.f64 -1/24 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (fma.f64 -1/8 (.f64 (/.f64 c b) (/.f64 c b)) (fma.f64 -1/2 (/.f64 c b) (.f64 -1/64 (/.f64 (pow.f64 c 4) (pow.f64 b 4))))))
(fma.f64 -1/8 (.f64 (/.f64 c b) (/.f64 c b)) (fma.f64 -1/24 (pow.f64 (/.f64 c b) 3) (fma.f64 -1/2 (/.f64 c b) (/.f64 (.f64 -1/64 (pow.f64 c 4)) (pow.f64 b 4)))))
(fma.f64 -1/24 (pow.f64 (/.f64 c b) 3) (fma.f64 -1/64 (pow.f64 (/.f64 c b) 4) (.f64 (/.f64 c b) (+.f64 -1/2 (/.f64 (.f64 c -1/8) b)))))
(*.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 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(*.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 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(*.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 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(*.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 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(*.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 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(*.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 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(*.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 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(*.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 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(*.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 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(*.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 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(*.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 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(*.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 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (/.f64 1 a) 1/3)
	0.5b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)
	0.5b	(fma.f64 b b (.f64 c (.f64 a -3)))
	24.6b	(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
0.0ms	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)

rewrite47.0ms (0.3%)

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)))))))

simplify7.0ms (0%)

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)

eval180.0ms (1%)

Compiler: Compiled 9101 to 5727 computations (37.1% saved)

prune147.0ms (0.8%)

Pruning

52 alts after pruning (47 fresh and 5 done)

	Pruned	Kept	Total
New	445	18	463
Fresh	14	29	43
Picked	1	0	1
Done	0	5	5
Total	460	52	512

Error

0.5b

Counts

512 → 52

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.7b	(.f64 (.f64 b -2) (/.f64 1/3 a))
▶	44.1b	(.f64 (/.f64 (.f64 (*.f64 -3/2 c) a) b) (/.f64 1/3 a))
	36.4b	(*.f64 c (/.f64 -1/2 b))
	41.7b	(.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (.f64 (/.f64 1 a) 1/3))
	36.4b	(.f64 (/.f64 c b) (.f64 (*.f64 a -3/2) (/.f64 1/3 a)))
	44.6b	(/.f64 1 (.f64 (.f64 (/.f64 -2 (*.f64 c a)) b) a))
▶	36.3b	(/.f64 1 (/.f64 b (*.f64 c -1/2)))
	41.8b	(.f64 (.f64 (/.f64 c b) a) (*.f64 -3/2 (/.f64 1/3 a)))
	43.7b	(.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 c b) (*.f64 a -1/2)))) (/.f64 1 a))
✓	36.2b	(*.f64 (/.f64 c b) -1/2)
	41.7b	(/.f64 (.f64 (/.f64 c b) (.f64 a -1/2)) a)
	52.4b	(.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (.f64 3 a))))) 2) b) (/.f64 1/3 a))
	53.3b	(-.f64 (+.f64 (*.f64 (/.f64 c b) -1/2) 1) 1)
✓	41.8b	(.f64 (/.f64 (.f64 (/.f64 c b) a) -2) (/.f64 1 a))
	54.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (sqrt.f64 (/.f64 1/9 (.f64 a a))))
	55.1b	(exp.f64 (log.f64 (*.f64 b (/.f64 -2/3 a))))
▶	46.8b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	36.3b	(.f64 (.f64 (/.f64 c b) 1/3) -3/2)
▶	56.2b	(*.f64 0 (/.f64 1/3 a))
	46.8b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
	37.9b	(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (/.f64 c b) -1/2)))))
	62.0b	(expm1.f64 (-.f64 (log.f64 (*.f64 -1/2 c)) (log.f64 b)))
	46.7b	(/.f64 (*.f64 b -2/3) a)
	46.8b	(.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 (/.f64 1 a) 1/3))
	53.1b	(.f64 (sqrt.f64 (.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2) 1/4)) (/.f64 1 a))
	49.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2))
	46.7b	(/.f64 -2/3 (/.f64 a b))
	46.8b	(.f64 (-.f64 (pow.f64 (pow.f64 (.f64 a (*.f64 c -3)) 1/4) 2) b) (/.f64 1/3 a))
	52.1b	(pow.f64 (pow.f64 (*.f64 (/.f64 c b) -1/2) 3) 1/3)
	44.7b	(/.f64 (.f64 c (.f64 -3/2 (/.f64 a b))) (*.f64 3 a))
▶	43.3b	(.f64 (/.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 c b) a))) -2) (/.f64 1 a))
	43.6b	(/.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 c b) (.f64 a -3/2)))) (*.f64 3 a))
✓	37.8b	(expm1.f64 (log1p.f64 (*.f64 (/.f64 c b) -1/2)))
	49.6b	(.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -3))) b) b) (/.f64 1/3 a))
	46.7b	(/.f64 (.f64 b -2) (.f64 a 3))
	46.7b	(.f64 (.f64 b -2) (*.f64 (/.f64 1 a) 1/3))
	37.4b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
	46.7b	(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
✓	46.7b	(*.f64 -2/3 (/.f64 b a))
	47.0b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
	45.9b	(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2))) (*.f64 3 a))
	57.4b	(sqrt.f64 (pow.f64 (*.f64 b (/.f64 -2/3 a)) 2))
	46.8b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
	51.8b	(expm1.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 (/.f64 c b) -1/2)) 3) 1/3))
	38.8b	(expm1.f64 (.f64 (/.f64 c b) (+.f64 -1/2 (/.f64 (.f64 c -1/8) b))))
	37.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (.f64 3 c)))))) (.f64 3 a))
	56.3b	(.f64 (.f64 b -2) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))
	49.9b	(sqrt.f64 (/.f64 (pow.f64 (/.f64 c b) 2) 4))
	46.9b	(pow.f64 (cbrt.f64 (*.f64 b (/.f64 -2/3 a))) 3)
	39.3b	(expm1.f64 (/.f64 -1/2 (/.f64 b c)))
	47.0b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (.f64 a 3/2)) b) b) (.f64 (/.f64 1 a) 1/3))
	52.4b	(.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) b) (/.f64 1/3 a))

Compiler

Compiled 1412 to 1072 computations (24.1% saved)

localize19.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite80.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

843×	`pow1_binary64`
783×	`add-log-exp_binary64`
783×	`log1p-expm1-u_binary64`
783×	`expm1-log1p-u_binary64`
766×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	168	7
2	2164	7

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

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

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

simplify21.0ms (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

69 → 45

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))

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))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1/3 a)

Compiler

Compiled 14 to 11 computations (21.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 -3/2 c) a)
	0.4b	(/.f64 1/3 a)
✓	5.9b	(/.f64 (.f64 (.f64 -3/2 c) a) b)
✓	10.5b	(.f64 (/.f64 (.f64 (*.f64 -3/2 c) a) b) (/.f64 1/3 a))

Compiler

Compiled 37 to 23 computations (37.8% saved)

series8.0ms (0%)

Counts

3 → 96

Calls

24 calls:

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

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

680×	`log-prod_binary64`
458×	`pow-prod-down_binary64`
319×	`pow2_binary64`
261×	`pow-unpow_binary64`
227×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	243	33
2	3382	33

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

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

Outputs

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

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

simplify34.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

19×	`associate-/l*_binary64`
16×	`*-commutative_binary64`
14×	`associate-/r/_binary64`
10×	`associate-r_binary64`
8×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	780
1	23	780
2	42	780
3	73	780
4	100	780
5	107	780

Stop Event

1×

saturated

Counts

235 → 144

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))
(.f64 -3/2 (.f64 c a))
(.f64 -3/2 (.f64 c a))
(.f64 -3/2 (.f64 c a))
(.f64 -3/2 (.f64 c a))
(.f64 -3/2 (.f64 c a))
(.f64 -3/2 (.f64 c a))
(.f64 -3/2 (.f64 c a))
(.f64 -3/2 (.f64 c a))
(.f64 -3/2 (.f64 c a))
(.f64 -3/2 (.f64 c a))
(.f64 -3/2 (.f64 c a))
(.f64 -3/2 (.f64 c a))
(.f64 -3/2 (.f64 c a))
(.f64 -3/2 (.f64 c a))
(.f64 -3/2 (.f64 c a))
(.f64 -3/2 (.f64 c a))
(.f64 -3/2 (.f64 c a))
(.f64 -3/2 (.f64 c a))
(.f64 -3/2 (.f64 c a))
(.f64 -3/2 (.f64 c a))
(.f64 -3/2 (.f64 c a))
(.f64 -3/2 (.f64 c a))
(.f64 -3/2 (.f64 c a))
(.f64 -3/2 (.f64 c a))

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

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	0.2b	(.f64 c (.f64 a -3))
	0.4b	(/.f64 1/3 a)
	13.7b	(sqrt.f64 (.f64 c (.f64 a -3)))

Compiler

Compiled 45 to 29 computations (35.6% saved)

series40.0ms (0.2%)

Counts

1 → 14

Calls

9 calls:

Time	Variable		Point	Expression
27.0ms	b	@	-inf	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
2.0ms	a	@	inf	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
2.0ms	a	@	-inf	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
2.0ms	c	@	-inf	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
2.0ms	b	@	0	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))

rewrite106.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`prod-diff_binary64`
642×	`log-prod_binary64`
372×	`fma-def_binary64`
235×	`pow1/3_binary64`
232×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	263	18
2	3457	18

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

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

Outputs

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

simplify27.0ms (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

64 → 56

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)))

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(expm1.f64 (log1p.f64 (*.f64 (/.f64 c b) a)))
✓	3.9b	(log1p.f64 (*.f64 (/.f64 c b) a))
	5.5b	(*.f64 (/.f64 c b) a)
✓	9.2b	(.f64 (/.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 c b) a))) -2) (/.f64 1 a))

Compiler

Compiled 54 to 18 computations (66.7% saved)

series22.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	c	@	0	(log1p.f64 (*.f64 (/.f64 c b) a))
1.0ms	a	@	0	(log1p.f64 (*.f64 (/.f64 c b) a))
1.0ms	a	@	-inf	(log1p.f64 (*.f64 (/.f64 c b) a))
1.0ms	c	@	-inf	(log1p.f64 (*.f64 (/.f64 c b) a))
1.0ms	b	@	0	(log1p.f64 (*.f64 (/.f64 c b) a))

rewrite111.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

646×	`log-prod_binary64`
322×	`prod-diff_binary64`
318×	`pow2_binary64`
229×	`pow-unpow_binary64`
227×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	262	29
2	3463	29

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

Inputs
(.f64 (/.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 c b) a))) -2) (/.f64 1 a))
(log1p.f64 (*.f64 (/.f64 c b) a))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 c b) a)))

Outputs

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

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

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

simplify113.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

742×	`times-frac_binary64`
560×	`associate-+l+_binary64`
510×	`unswap-sqr_binary64`
423×	`sub-neg_binary64`
361×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	1844
1	308	1768
2	1109	1713
3	6582	1662

Stop Event

1×	node limit

Counts

250 → 182

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 (*.f64 c a) b)
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))))
(+.f64 (/.f64 (.f64 c a) b) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 4))) (+.f64 (/.f64 (.f64 c a) b) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))))))
(+.f64 (log.f64 (/.f64 a b)) (*.f64 -1 (log.f64 (/.f64 1 c))))
(+.f64 (log.f64 (/.f64 a b)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (/.f64 b (.f64 c a))))
(+.f64 (log.f64 (/.f64 a b)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (+.f64 (/.f64 b (.f64 c a)) (.f64 -1/2 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(+.f64 (log.f64 (/.f64 a b)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (/.f64 b (.f64 c a)) (.f64 -1/2 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))))
(+.f64 (log.f64 (.f64 -1 (/.f64 a b))) (.f64 -1 (log.f64 (/.f64 -1 c))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (+.f64 (log.f64 (.f64 -1 (/.f64 a b))) (/.f64 b (*.f64 c a))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (+.f64 (log.f64 (.f64 -1 (/.f64 a b))) (+.f64 (/.f64 b (.f64 c a)) (.f64 -1/2 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (+.f64 (log.f64 (.f64 -1 (/.f64 a b))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (/.f64 b (.f64 c a)) (.f64 -1/2 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 c 2) (pow.f64 a 2))))))))
(+.f64 (log.f64 (.f64 c a)) (.f64 -1 (log.f64 b)))
(+.f64 (log.f64 (.f64 c a)) (+.f64 (.f64 -1 (log.f64 b)) (/.f64 b (*.f64 c a))))
(+.f64 (log.f64 (.f64 c a)) (+.f64 (.f64 -1 (log.f64 b)) (+.f64 (/.f64 b (.f64 c a)) (.f64 -1/2 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(+.f64 (log.f64 (.f64 c a)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 -1 (log.f64 b)) (+.f64 (/.f64 b (.f64 c a)) (.f64 -1/2 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 c 2) (pow.f64 a 2))))))))
(/.f64 (*.f64 c a) b)
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))))
(+.f64 (/.f64 (.f64 c a) b) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 4))) (+.f64 (/.f64 (.f64 c a) b) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))))))
(/.f64 (*.f64 c a) b)
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))))
(+.f64 (/.f64 (.f64 c a) b) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 4))) (+.f64 (/.f64 (.f64 c a) b) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))))))
(/.f64 (*.f64 c a) b)
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))))
(+.f64 (/.f64 (.f64 c a) b) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 4))) (+.f64 (/.f64 (.f64 c a) b) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 c b)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (/.f64 b (.f64 c a)) (log.f64 (/.f64 c b))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (/.f64 b (.f64 c a)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (log.f64 (/.f64 c b)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (/.f64 b (.f64 c a)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (log.f64 (/.f64 c b))))))
(+.f64 (log.f64 (.f64 -1 (/.f64 c b))) (.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 (.f64 -1 (/.f64 c b))) (+.f64 (/.f64 b (.f64 c a)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))
(+.f64 (log.f64 (.f64 -1 (/.f64 c b))) (+.f64 (/.f64 b (.f64 c a)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (log.f64 (.f64 -1 (/.f64 c b))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (/.f64 b (.f64 c a)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))))
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)

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

eval245.0ms (1.3%)

Compiler: Compiled 9362 to 5599 computations (40.2% saved)

prune246.0ms (1.4%)

Pruning

55 alts after pruning (46 fresh and 9 done)

	Pruned	Kept	Total
New	574	16	590
Fresh	12	30	42
Picked	0	1	1
Done	1	8	9
Total	587	55	642

Error

0.5b

Counts

642 → 55

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.7b	(.f64 (.f64 b -2) (/.f64 1/3 a))
	47.9b	(/.f64 (.f64 (/.f64 1/3 a) (-.f64 (.f64 -3 (.f64 c a)) (.f64 b b))) (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b))
	46.8b	(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (*.f64 a 3))
	41.7b	(.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (.f64 (/.f64 1 a) 1/3))
	36.4b	(.f64 (/.f64 c b) (.f64 (*.f64 a -3/2) (/.f64 1/3 a)))
	44.6b	(/.f64 1 (.f64 (.f64 (/.f64 -2 (*.f64 c a)) b) a))
✓	36.3b	(/.f64 1 (/.f64 b (*.f64 c -1/2)))
	41.8b	(.f64 (.f64 (/.f64 c b) a) (*.f64 -3/2 (/.f64 1/3 a)))
	43.7b	(.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 c b) (*.f64 a -1/2)))) (/.f64 1 a))
✓	36.2b	(*.f64 (/.f64 c b) -1/2)
	52.4b	(.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (.f64 3 a))))) 2) b) (/.f64 1/3 a))
	53.3b	(-.f64 (+.f64 (*.f64 (/.f64 c b) -1/2) 1) 1)
✓	41.8b	(.f64 (/.f64 (.f64 (/.f64 c b) a) -2) (/.f64 1 a))
	41.7b	(/.f64 (/.f64 (*.f64 (/.f64 c b) a) a) -2)
	55.1b	(exp.f64 (log.f64 (*.f64 b (/.f64 -2/3 a))))
✓	46.8b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	54.2b	(.f64 (-.f64 (.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c)) b) (/.f64 1/3 a))
	36.3b	(.f64 (.f64 (/.f64 c b) 1/3) -3/2)
✓	56.2b	(*.f64 0 (/.f64 1/3 a))
	62.0b	(expm1.f64 (-.f64 (log.f64 (*.f64 -1/2 c)) (log.f64 b)))
	53.1b	(.f64 (sqrt.f64 (.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2) 1/4)) (/.f64 1 a))
	46.7b	(/.f64 (*.f64 b -2/3) a)
	36.4b	(.f64 -1 (/.f64 1 (.f64 (neg.f64 b) (/.f64 -2 c))))
	46.7b	(/.f64 -2/3 (/.f64 a b))
	52.1b	(pow.f64 (pow.f64 (*.f64 (/.f64 c b) -1/2) 3) 1/3)
	44.7b	(/.f64 (.f64 c (.f64 -3/2 (/.f64 a b))) (*.f64 3 a))
✓	43.3b	(.f64 (/.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 c b) a))) -2) (/.f64 1 a))
	49.9b	(sqrt.f64 (pow.f64 (*.f64 b (/.f64 -2 c)) -2))
	43.6b	(/.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 c b) (.f64 a -3/2)))) (*.f64 3 a))
✓	37.8b	(expm1.f64 (log1p.f64 (*.f64 (/.f64 c b) -1/2)))
	46.7b	(.f64 (.f64 b -2) (*.f64 (/.f64 1 a) 1/3))
	46.8b	(.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 (/.f64 1 a) 1/3))
	44.1b	(/.f64 (.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) 1/3) a)
	46.7b	(/.f64 (.f64 b -2) (.f64 a 3))
	41.4b	(/.f64 (.f64 -3/2 (.f64 (*.f64 c a) (/.f64 1/3 a))) b)
	43.4b	(/.f64 (.f64 -3/2 (.f64 c a)) (.f64 (.f64 a 3) b))
	37.4b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
	46.7b	(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
✓	46.7b	(*.f64 -2/3 (/.f64 b a))
	47.0b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
	45.9b	(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2))) (*.f64 3 a))
	57.4b	(sqrt.f64 (pow.f64 (*.f64 b (/.f64 -2/3 a)) 2))
	45.9b	(.f64 (/.f64 (expm1.f64 (/.f64 (.f64 c a) b)) -2) (/.f64 1 a))
	38.8b	(expm1.f64 (.f64 (/.f64 c b) (+.f64 -1/2 (/.f64 (.f64 c -1/8) b))))
	41.4b	(/.f64 (.f64 -3/2 c) (.f64 (/.f64 b a) (*.f64 a 3)))
	37.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (.f64 3 c)))))) (.f64 3 a))
	56.3b	(.f64 (.f64 b -2) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))
	46.8b	(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) 1/3) a)
	46.9b	(pow.f64 (cbrt.f64 (*.f64 b (/.f64 -2/3 a))) 3)
	36.4b	(*.f64 (/.f64 -1/2 b) c)
	39.3b	(expm1.f64 (/.f64 -1/2 (/.f64 b c)))
	52.4b	(.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) b) (/.f64 1/3 a))
	46.8b	(/.f64 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) 1/3)))
	43.0b	(/.f64 (.f64 (/.f64 1/3 a) (.f64 -3/2 c)) (/.f64 b a))
	47.0b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (.f64 a 3/2)) b) b) (.f64 (/.f64 1 a) 1/3))

Compiler

Compiled 768 to 579 computations (24.6% saved)

regimes2.9s (16.1%)

Counts

96 → 3

Calls

Call 1

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

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

Calls

6 calls:

695.0ms	(*.f64 3 a)
597.0ms	a
584.0ms	c
572.0ms	(*.f64 3 a)
189.0ms	b

Results

Error	Segments	Branch
25.0b	8	`a`
8.6b	3	`b`
23.0b	10	`c`
12.6b	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
25.0b	8	`(*.f64 3 a)`
25.0b	8	`(*.f64 3 a)`

Compiler

Compiled 1165 to 728 computations (37.5% saved)

bsearch287.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
206.0ms	4.992927549040355e-83	6.7795640901357626e-77
80.0ms	-2.1705331657627415e+94	-1.4463376101195925e+87

Compiler

Compiled 584 to 433 computations (25.9% saved)

regimes1.2s (6.8%)

Counts

54 → 3

Calls

Call 1

Inputs
(*.f64 (/.f64 -1/2 b) c)
(/.f64 -2/3 (/.f64 a b))
(*.f64 c (/.f64 -1/2 b))
(*.f64 (/.f64 c b) -1/2)
(*.f64 0 (/.f64 1/3 a))
(/.f64 (*.f64 b -2/3) a)
(*.f64 -2/3 (/.f64 b a))
(/.f64 1 (/.f64 b (*.f64 c -1/2)))
(.f64 (.f64 (/.f64 c b) 1/3) -3/2)
(/.f64 1 (/.f64 a (*.f64 b -2/3)))
(/.f64 (.f64 b -2) (.f64 a 3))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(/.f64 (.f64 b -2) (.f64 3 a))
(.f64 (.f64 b -2) (/.f64 1/3 a))
(/.f64 (/.f64 (*.f64 (/.f64 c b) a) a) -2)
(/.f64 (.f64 (/.f64 c b) (.f64 a -1/2)) a)
(-.f64 (+.f64 (*.f64 (/.f64 c b) -1/2) 1) 1)
(.f64 (.f64 b -2) (*.f64 (/.f64 1 a) 1/3))
(.f64 (.f64 b -2) (*.f64 (/.f64 1 a) 1/3))
(.f64 (/.f64 (.f64 (/.f64 c b) a) a) -1/2)
(.f64 -1 (/.f64 1 (.f64 (neg.f64 b) (/.f64 -2 c))))
(/.f64 (.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) 1/3) a)
(/.f64 (.f64 -3/2 (.f64 (*.f64 c a) (/.f64 1/3 a))) b)
(/.f64 (.f64 -3/2 (.f64 c a)) (.f64 (.f64 a 3) b))
(/.f64 (.f64 -3/2 c) (.f64 (/.f64 b a) (*.f64 a 3)))
(/.f64 (.f64 (/.f64 1/3 a) (.f64 -3/2 c)) (/.f64 b a))
(/.f64 1 (.f64 (.f64 (/.f64 -2 (*.f64 c a)) b) a))
(.f64 (/.f64 (.f64 (*.f64 -3/2 c) a) b) (/.f64 1/3 a))
(.f64 (/.f64 c b) (.f64 (*.f64 a -3/2) (/.f64 1/3 a)))
(.f64 (.f64 (/.f64 c b) a) (*.f64 -3/2 (/.f64 1/3 a)))
(.f64 (/.f64 (.f64 (/.f64 c b) a) -2) (/.f64 1 a))
(/.f64 (.f64 c (.f64 -3/2 (/.f64 a b))) (*.f64 3 a))
(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 3 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (.f64 (/.f64 1 a) 1/3))
(.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))
(expm1.f64 (/.f64 -1/2 (/.f64 b c)))
(pow.f64 (*.f64 (/.f64 b c) -2) -1)
(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
(.f64 (.f64 b -2) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))
(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (*.f64 a 3))
(.f64 (/.f64 (expm1.f64 (/.f64 (.f64 c a) b)) -2) (/.f64 1 a))
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) 1/3) a)
(expm1.f64 (.f64 (/.f64 c b) (+.f64 -1/2 (/.f64 (.f64 c -1/8) b))))
(.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 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 (/.f64 1 a) 1/3))
(/.f64 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) 1/3)))
(.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 (.f64 b -2) (.f64 a 3))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
(*.f64 (/.f64 c b) -1/2)

Calls

5 calls:

498.0ms	c
209.0ms	(*.f64 3 a)
208.0ms	b
152.0ms	a
142.0ms	(*.f64 3 a)

Results

Error	Segments	Branch
30.1b	5	`a`
8.6b	3	`b`
28.0b	9	`c`
30.1b	5	`(*.f64 3 a)`
30.1b	5	`(*.f64 3 a)`

Compiler

Compiled 563 to 342 computations (39.3% saved)

bsearch233.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
146.0ms	4.992927549040355e-83	6.7795640901357626e-77
86.0ms	-2.1705331657627415e+94	-1.4463376101195925e+87

Compiler

Compiled 566 to 415 computations (26.7% saved)

regimes918.0ms (5%)

Counts

53 → 3

Calls

Call 1

Inputs
(*.f64 (/.f64 -1/2 b) c)
(/.f64 -2/3 (/.f64 a b))
(*.f64 c (/.f64 -1/2 b))
(*.f64 (/.f64 c b) -1/2)
(*.f64 0 (/.f64 1/3 a))
(/.f64 (*.f64 b -2/3) a)
(*.f64 -2/3 (/.f64 b a))
(/.f64 1 (/.f64 b (*.f64 c -1/2)))
(.f64 (.f64 (/.f64 c b) 1/3) -3/2)
(/.f64 1 (/.f64 a (*.f64 b -2/3)))
(/.f64 (.f64 b -2) (.f64 a 3))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(/.f64 (.f64 b -2) (.f64 3 a))
(.f64 (.f64 b -2) (/.f64 1/3 a))
(/.f64 (/.f64 (*.f64 (/.f64 c b) a) a) -2)
(/.f64 (.f64 (/.f64 c b) (.f64 a -1/2)) a)
(-.f64 (+.f64 (*.f64 (/.f64 c b) -1/2) 1) 1)
(.f64 (.f64 b -2) (*.f64 (/.f64 1 a) 1/3))
(.f64 (.f64 b -2) (*.f64 (/.f64 1 a) 1/3))
(.f64 (/.f64 (.f64 (/.f64 c b) a) a) -1/2)
(.f64 -1 (/.f64 1 (.f64 (neg.f64 b) (/.f64 -2 c))))
(/.f64 (.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) 1/3) a)
(/.f64 (.f64 -3/2 (.f64 (*.f64 c a) (/.f64 1/3 a))) b)
(/.f64 (.f64 -3/2 (.f64 c a)) (.f64 (.f64 a 3) b))
(/.f64 (.f64 -3/2 c) (.f64 (/.f64 b a) (*.f64 a 3)))
(/.f64 (.f64 (/.f64 1/3 a) (.f64 -3/2 c)) (/.f64 b a))
(/.f64 1 (.f64 (.f64 (/.f64 -2 (*.f64 c a)) b) a))
(.f64 (/.f64 (.f64 (*.f64 -3/2 c) a) b) (/.f64 1/3 a))
(.f64 (/.f64 c b) (.f64 (*.f64 a -3/2) (/.f64 1/3 a)))
(.f64 (.f64 (/.f64 c b) a) (*.f64 -3/2 (/.f64 1/3 a)))
(.f64 (/.f64 (.f64 (/.f64 c b) a) -2) (/.f64 1 a))
(/.f64 (.f64 c (.f64 -3/2 (/.f64 a b))) (*.f64 3 a))
(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 3 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (.f64 (/.f64 1 a) 1/3))
(.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))
(expm1.f64 (/.f64 -1/2 (/.f64 b c)))
(pow.f64 (*.f64 (/.f64 b c) -2) -1)
(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
(.f64 (.f64 b -2) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))
(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (*.f64 a 3))
(.f64 (/.f64 (expm1.f64 (/.f64 (.f64 c a) b)) -2) (/.f64 1 a))
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) 1/3) a)
(expm1.f64 (.f64 (/.f64 c b) (+.f64 -1/2 (/.f64 (.f64 c -1/8) b))))
(.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 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 (/.f64 1 a) 1/3))
(/.f64 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) 1/3)))
(.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 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
(*.f64 (/.f64 c b) -1/2)

Calls

5 calls:

250.0ms	c
202.0ms	(*.f64 3 a)
152.0ms	a
149.0ms	b
131.0ms	(*.f64 3 a)

Results

Error	Segments	Branch
33.2b	4	`a`
11.6b	3	`b`
29.5b	9	`c`
33.2b	4	`(*.f64 3 a)`
33.2b	4	`(*.f64 3 a)`

Compiler

Compiled 547 to 332 computations (39.3% saved)

bsearch148.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
119.0ms	4.992927549040355e-83	6.7795640901357626e-77
28.0ms	-4.057053348942624e-134	-1.7520442181586231e-134

Compiler

Compiled 440 to 329 computations (25.2% saved)

regimes731.0ms (4%)

Counts

48 → 3

Calls

Call 1

Inputs
(*.f64 (/.f64 -1/2 b) c)
(/.f64 -2/3 (/.f64 a b))
(*.f64 c (/.f64 -1/2 b))
(*.f64 (/.f64 c b) -1/2)
(*.f64 0 (/.f64 1/3 a))
(/.f64 (*.f64 b -2/3) a)
(*.f64 -2/3 (/.f64 b a))
(/.f64 1 (/.f64 b (*.f64 c -1/2)))
(.f64 (.f64 (/.f64 c b) 1/3) -3/2)
(/.f64 1 (/.f64 a (*.f64 b -2/3)))
(/.f64 (.f64 b -2) (.f64 a 3))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(/.f64 (.f64 b -2) (.f64 3 a))
(.f64 (.f64 b -2) (/.f64 1/3 a))
(/.f64 (/.f64 (*.f64 (/.f64 c b) a) a) -2)
(/.f64 (.f64 (/.f64 c b) (.f64 a -1/2)) a)
(-.f64 (+.f64 (*.f64 (/.f64 c b) -1/2) 1) 1)
(.f64 (.f64 b -2) (*.f64 (/.f64 1 a) 1/3))
(.f64 (.f64 b -2) (*.f64 (/.f64 1 a) 1/3))
(.f64 (/.f64 (.f64 (/.f64 c b) a) a) -1/2)
(.f64 -1 (/.f64 1 (.f64 (neg.f64 b) (/.f64 -2 c))))
(/.f64 (.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) 1/3) a)
(/.f64 (.f64 -3/2 (.f64 (*.f64 c a) (/.f64 1/3 a))) b)
(/.f64 (.f64 -3/2 (.f64 c a)) (.f64 (.f64 a 3) b))
(/.f64 (.f64 -3/2 c) (.f64 (/.f64 b a) (*.f64 a 3)))
(/.f64 (.f64 (/.f64 1/3 a) (.f64 -3/2 c)) (/.f64 b a))
(/.f64 1 (.f64 (.f64 (/.f64 -2 (*.f64 c a)) b) a))
(.f64 (/.f64 (.f64 (*.f64 -3/2 c) a) b) (/.f64 1/3 a))
(.f64 (/.f64 c b) (.f64 (*.f64 a -3/2) (/.f64 1/3 a)))
(.f64 (.f64 (/.f64 c b) a) (*.f64 -3/2 (/.f64 1/3 a)))
(.f64 (/.f64 (.f64 (/.f64 c b) a) -2) (/.f64 1 a))
(/.f64 (.f64 c (.f64 -3/2 (/.f64 a b))) (*.f64 3 a))
(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 3 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (.f64 (/.f64 1 a) 1/3))
(.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))
(expm1.f64 (/.f64 -1/2 (/.f64 b c)))
(pow.f64 (*.f64 (/.f64 b c) -2) -1)
(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
(.f64 (.f64 b -2) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))
(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (*.f64 a 3))
(.f64 (/.f64 (expm1.f64 (/.f64 (.f64 c a) b)) -2) (/.f64 1 a))
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) 1/3) a)
(expm1.f64 (.f64 (/.f64 c b) (+.f64 -1/2 (/.f64 (.f64 c -1/8) b))))
(.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))

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

Calls

5 calls:

212.0ms	c
157.0ms	a
140.0ms	(*.f64 3 a)
113.0ms	(*.f64 3 a)
93.0ms	b

Results

Error	Segments	Branch
33.2b	4	`a`
11.6b	3	`b`
29.5b	9	`c`
33.2b	4	`(*.f64 3 a)`
33.2b	4	`(*.f64 3 a)`

Compiler

Compiled 478 to 288 computations (39.7% saved)

bsearch151.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
125.0ms	4.992927549040355e-83	6.7795640901357626e-77
26.0ms	-4.057053348942624e-134	-1.7520442181586231e-134

Compiler

Compiled 426 to 315 computations (26.1% saved)

regimes946.0ms (5.2%)

Counts

42 → 2

Calls

Call 1

Inputs
(*.f64 (/.f64 -1/2 b) c)
(/.f64 -2/3 (/.f64 a b))
(*.f64 c (/.f64 -1/2 b))
(*.f64 (/.f64 c b) -1/2)
(*.f64 0 (/.f64 1/3 a))
(/.f64 (*.f64 b -2/3) a)
(*.f64 -2/3 (/.f64 b a))
(/.f64 1 (/.f64 b (*.f64 c -1/2)))
(.f64 (.f64 (/.f64 c b) 1/3) -3/2)
(/.f64 1 (/.f64 a (*.f64 b -2/3)))
(/.f64 (.f64 b -2) (.f64 a 3))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(/.f64 (.f64 b -2) (.f64 3 a))
(.f64 (.f64 b -2) (/.f64 1/3 a))
(/.f64 (/.f64 (*.f64 (/.f64 c b) a) a) -2)
(/.f64 (.f64 (/.f64 c b) (.f64 a -1/2)) a)
(-.f64 (+.f64 (*.f64 (/.f64 c b) -1/2) 1) 1)
(.f64 (.f64 b -2) (*.f64 (/.f64 1 a) 1/3))
(.f64 (.f64 b -2) (*.f64 (/.f64 1 a) 1/3))
(.f64 (/.f64 (.f64 (/.f64 c b) a) a) -1/2)
(.f64 -1 (/.f64 1 (.f64 (neg.f64 b) (/.f64 -2 c))))
(/.f64 (.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) 1/3) a)
(/.f64 (.f64 -3/2 (.f64 (*.f64 c a) (/.f64 1/3 a))) b)
(/.f64 (.f64 -3/2 (.f64 c a)) (.f64 (.f64 a 3) b))
(/.f64 (.f64 -3/2 c) (.f64 (/.f64 b a) (*.f64 a 3)))
(/.f64 (.f64 (/.f64 1/3 a) (.f64 -3/2 c)) (/.f64 b a))
(/.f64 1 (.f64 (.f64 (/.f64 -2 (*.f64 c a)) b) a))
(.f64 (/.f64 (.f64 (*.f64 -3/2 c) a) b) (/.f64 1/3 a))
(.f64 (/.f64 c b) (.f64 (*.f64 a -3/2) (/.f64 1/3 a)))
(.f64 (.f64 (/.f64 c b) a) (*.f64 -3/2 (/.f64 1/3 a)))
(.f64 (/.f64 (.f64 (/.f64 c b) a) -2) (/.f64 1 a))
(/.f64 (.f64 c (.f64 -3/2 (/.f64 a b))) (*.f64 3 a))
(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 3 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (.f64 (/.f64 1 a) 1/3))
(.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))
(expm1.f64 (/.f64 -1/2 (/.f64 b c)))
(pow.f64 (*.f64 (/.f64 b c) -2) -1)
(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
(.f64 (.f64 b -2) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))

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

Calls

5 calls:

319.0ms	c
250.0ms	a
168.0ms	(*.f64 3 a)
106.0ms	(*.f64 3 a)
90.0ms	b

Results

Error	Segments	Branch
33.8b	5	`a`
20.5b	2	`b`
32.1b	7	`c`
33.8b	5	`(*.f64 3 a)`
33.8b	5	`(*.f64 3 a)`

Compiler

Compiled 406 to 246 computations (39.4% saved)

bsearch26.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	2.2355458991980716e-211	5.070422277238947e-211

Compiler

Compiled 126 to 99 computations (21.4% saved)

regimes118.0ms (0.6%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

3 calls:

70.0ms	c
32.0ms	a
13.0ms	b

Results

Error	Segments	Branch
33.9b	5	`a`
20.5b	2	`b`
32.2b	7	`c`

Compiler

Compiled 71 to 48 computations (32.4% saved)

bsearch28.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
28.0ms	2.2355458991980716e-211	5.070422277238947e-211

Compiler

Compiled 116 to 89 computations (23.3% saved)

regimes48.0ms (0.3%)

Accuracy

Total -41.9b remaining (-203.4%)

Threshold costs -41.9b (-203.4%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	c
17.0ms	a
7.0ms	b

Results

Error	Segments	Branch
34.0b	5	`a`
20.6b	2	`b`
32.3b	7	`c`

Compiler

Compiled 30 to 21 computations (30% saved)

bsearch25.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	2.2355458991980716e-211	5.070422277238947e-211

Compiler

Compiled 116 to 89 computations (23.3% saved)

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
12×	`+-commutative_binary64`
10×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	68	298
1	98	294
2	119	294
3	128	294
4	134	294
5	136	294

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b -1449999999999999896983073842248417721080956811417291691834024142329246735238728884682752) (/.f64 (.f64 b -2) (.f64 a 3)) (if (<=.f64 b 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a)) (*.f64 (/.f64 c b) -1/2)))
(if (<=.f64 b -1449999999999999896983073842248417721080956811417291691834024142329246735238728884682752) (/.f64 (.f64 b -2) (.f64 a 3)) (if (<=.f64 b 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a)) (*.f64 (/.f64 c b) -1/2)))
(if (<=.f64 b -900182417171439/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584) (.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (.f64 a 3/2)) b) b) (/.f64 1/3 a)) (if (<=.f64 b 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (.f64 3 a)) (*.f64 (/.f64 c b) -1/2)))
(if (<=.f64 b -900182417171439/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584) (.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (.f64 a 3/2)) b) b) (/.f64 1/3 a)) (if (<=.f64 b 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (.f64 a 3)) (*.f64 (/.f64 c b) -1/2)))
(if (<=.f64 b 740298315191607/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (/.f64 (.f64 b -2) (.f64 a 3)) (*.f64 (/.f64 c b) -1/2))
(if (<=.f64 b 740298315191607/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (/.f64 -2/3 (/.f64 a b)) (*.f64 (/.f64 c b) -1/2))
(if (<=.f64 b 740298315191607/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (/.f64 -2/3 (/.f64 a b)) (*.f64 (/.f64 -1/2 b) c))
(*.f64 (/.f64 -1/2 b) c)

Outputs
(if (<=.f64 b -1449999999999999896983073842248417721080956811417291691834024142329246735238728884682752) (/.f64 (.f64 b -2) (.f64 a 3)) (if (<=.f64 b 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a)) (*.f64 (/.f64 c b) -1/2)))
(if (<=.f64 b -1449999999999999896983073842248417721080956811417291691834024142329246735238728884682752) (/.f64 (.f64 b -2) (.f64 a 3)) (if (<=.f64 b 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a 3) c)))) (.f64 a 3)) (*.f64 (/.f64 c b) -1/2)))
(if (<=.f64 b -1449999999999999896983073842248417721080956811417291691834024142329246735238728884682752) (/.f64 (.f64 b -2) (.f64 a 3)) (if (<=.f64 b 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (.f64 a 3)) (*.f64 (/.f64 c b) -1/2)))
(if (<=.f64 b -1449999999999999896983073842248417721080956811417291691834024142329246735238728884682752) (/.f64 (.f64 b -2) (.f64 a 3)) (if (<=.f64 b 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a)) (*.f64 (/.f64 c b) -1/2)))
(if (<=.f64 b -1449999999999999896983073842248417721080956811417291691834024142329246735238728884682752) (/.f64 (.f64 b -2) (.f64 a 3)) (if (<=.f64 b 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (/.f64 1/3 a)) (*.f64 (/.f64 c b) -1/2)))
(if (<=.f64 b -900182417171439/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584) (.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (.f64 a 3/2)) b) b) (/.f64 1/3 a)) (if (<=.f64 b 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (.f64 3 a)) (*.f64 (/.f64 c b) -1/2)))
(if (<=.f64 b -900182417171439/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584) (.f64 (/.f64 1/3 a) (-.f64 (-.f64 (.f64 (/.f64 c b) (.f64 a 3/2)) b) b)) (if (<=.f64 b 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (.f64 a 3)) (*.f64 (/.f64 c b) -1/2)))
(if (<=.f64 b -900182417171439/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584) (.f64 (/.f64 1/3 a) (-.f64 (-.f64 (.f64 (/.f64 c b) (.f64 a 3/2)) b) b)) (if (<=.f64 b 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 a 3)) (*.f64 (/.f64 c b) -1/2)))
(if (<=.f64 b -900182417171439/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584) (.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (.f64 a 3/2)) b) b) (/.f64 1/3 a)) (if (<=.f64 b 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (.f64 a 3)) (*.f64 (/.f64 c b) -1/2)))
(if (<=.f64 b -900182417171439/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584) (.f64 (/.f64 1/3 a) (-.f64 (-.f64 (.f64 (/.f64 c b) (.f64 a 3/2)) b) b)) (if (<=.f64 b 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) (.f64 a 3)) (*.f64 (/.f64 c b) -1/2)))
(if (<=.f64 b 740298315191607/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (/.f64 (.f64 b -2) (.f64 a 3)) (*.f64 (/.f64 c b) -1/2))
(if (<=.f64 b 740298315191607/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (/.f64 -2/3 (/.f64 a b)) (*.f64 (/.f64 c b) -1/2))
(if (<=.f64 b 740298315191607/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (/.f64 -2/3 (/.f64 a b)) (*.f64 (/.f64 -1/2 b) c))
(if (<=.f64 b 740298315191607/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (/.f64 -2/3 (/.f64 a b)) (*.f64 c (/.f64 -1/2 b)))
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))

Compiler

Compiled 225 to 154 computations (31.6% saved)

soundness580.0ms (3.2%)

Algorithm

3×	egg-herbie

Rules

1220×	`fma-neg_binary64`
827×	`fma-def_binary64`
741×	`div-sub_binary64`
712×	`times-frac_binary64`
712×	`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
0	133	1747
1	396	1679
2	1356	1631
3	7801	1631
0	134	1915
1	400	1847
2	1367	1799
3	7827	1799

Stop Event

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

Compiler

Compiled 798 to 580 computations (27.3% saved)

end95.0ms (0.5%)

Compiler: Compiled 204 to 126 computations (38.2% saved)