Details

analyze335.0ms (1.3%)

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)

sample3.2s (12%)

Results

1.2s	1138×	body	2048	valid
1.0s	5572×	body	256	valid
307.0ms	781×	body	1024	valid
204.0ms	400×	body	4096	valid
191.0ms	1066×	body	256	invalid
165.0ms	365×	body	512	valid
68.0ms	521×	body	256	infinite

Bogosity

preprocess88.0ms (0.3%)

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)

simplify120.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 35 to 23 computations (34.3% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

36.4b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
▶	36.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1/3 a)
✓	0.7b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)
✓	1.0b	(fma.f64 b b (.f64 c (.f64 a -3)))
✓	24.4b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))

Compiler

Compiled 62 to 36 computations (41.9% saved)

series23.0ms (0.1%)

Counts

4 → 76

Calls

30 calls:

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

rewrite91.0ms (0.3%)

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))))))

simplify89.0ms (0.3%)

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)))))

localize70.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 3 a) c)
✓	0.7b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
✓	0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
✓	24.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 69 to 35 computations (49.3% saved)

series19.0ms (0.1%)

Counts

4 → 100

Calls

33 calls:

Time	Variable		Point	Expression
5.0ms	b	@	0	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
1.0ms	b	@	0	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
1.0ms	a	@	0	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
0.0ms	a	@	-inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
0.0ms	a	@	inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite111.0ms (0.4%)

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 (.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 3 a) c)

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

simplify142.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

712×	`times-frac_binary64`
670×	`associate-r_binary64`
630×	`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	7843	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 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -2 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b)))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 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 a a) (/.f64 (pow.f64 b 3) (.f64 c c))) (fma.f64 -3/2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) a) (.f64 c c)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(fma.f64 -9/8 (/.f64 (.f64 (.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 a a) (/.f64 (pow.f64 b 3) (.f64 c c))) (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 (/.f64 a (pow.f64 b 3)) a) (.f64 c c)) (fma.f64 -27/16 (*.f64 (/.f64 (pow.f64 a 3) (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 (.f64 (/.f64 c b) a) 3/2) 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 a a) (/.f64 (pow.f64 b 3) (.f64 c c))) 9/8)) b)
(-.f64 (fma.f64 (.f64 a (/.f64 c b)) 3/2 (.f64 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) a) (*.f64 c c)) 9/8)) 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 a a) (/.f64 (pow.f64 b 3) (*.f64 c c))) 9/8)) b))
(fma.f64 (.f64 a (/.f64 c b)) 3/2 (fma.f64 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) 27/16 (fma.f64 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) a) (*.f64 c c)) 9/8 (neg.f64 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 a a) (/.f64 (pow.f64 b 3) (.f64 c c))) (fma.f64 -3/2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) a) (.f64 c c)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(fma.f64 -9/8 (/.f64 (.f64 (.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 a a) (/.f64 (pow.f64 b 3) (.f64 c c))) (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 (/.f64 a (pow.f64 b 3)) a) (.f64 c c)) (fma.f64 -27/16 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) b)))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(fma.f64 -3/2 (/.f64 c (/.f64 b a)) b)
(fma.f64 -3/2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -3/2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(fma.f64 -9/8 (/.f64 (.f64 (.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 a a) (/.f64 (pow.f64 b 3) (.f64 c c))) (fma.f64 -3/2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) a) (.f64 c c)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(fma.f64 -9/8 (/.f64 (.f64 (.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 a a) (/.f64 (pow.f64 b 3) (.f64 c c))) (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 (/.f64 a (pow.f64 b 3)) a) (.f64 c c)) (fma.f64 -27/16 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) b)))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(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))
(.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))
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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))

eval674.0ms (2.6%)

Compiler: Compiled 16462 to 10291 computations (37.5% saved)

prune158.0ms (0.6%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	578	26	604
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	580	26	606

Error

6.9b

Counts

606 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	55.7b	(/.f64 (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (*.f64 3 a))
	51.7b	(/.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) (.f64 (.f64 c c) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 a a)))) (.f64 3 a))
▶	55.7b	(/.f64 (+.f64 (neg.f64 b) (fma.f64 -3/2 (.f64 a (/.f64 c b)) b)) (.f64 3 a))
	36.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (.f64 3 c)))))) (.f64 3 a))
	44.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
	53.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (.f64 3 a))
	45.8b	(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2))) (*.f64 3 a))
	40.9b	(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 3 a))
	45.8b	(/.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 1) (.f64 3 a))
	45.7b	(/.f64 (.f64 b -2) (.f64 3 a))
	47.0b	(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
▶	33.2b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))) b)) 3) (/.f64 1/3 a))
▶	37.3b	(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/4) 2) b) (/.f64 1/3 a))
▶	46.0b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
	50.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2))
	36.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (/.f64 1 a) 1/3))
	44.4b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	53.6b	(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))
	44.4b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
	38.6b	(.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))))) b) (/.f64 1/3 a))
	45.8b	(.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 3/2)) b) (/.f64 1/3 a))
	55.6b	(*.f64 (-.f64 b b) (/.f64 1/3 a))
	52.1b	(.f64 (+.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 1/3 a))
	41.0b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
▶	45.7b	(.f64 (.f64 b -2) (/.f64 1/3 a))
	42.8b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))

Compiler

Compiled 918 to 658 computations (28.3% saved)

localize52.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1/3 a)
✓	0.3b	(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)) 3)
✓	0.4b	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)
✓	10.7b	(sqrt.f64 (.f64 c (.f64 a -3)))

Compiler

Compiled 85 to 56 computations (34.1% saved)

series195.0ms (0.7%)

Counts

3 → 16

Calls

24 calls:

Time	Variable		Point	Expression
34.0ms	c	@	0	(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)) 3)
32.0ms	c	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)) 3)
27.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)) 3)
22.0ms	a	@	0	(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)) 3)
18.0ms	c	@	inf	(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)) 3)

rewrite144.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

586×	`log-prod_binary64`
566×	`prod-diff_binary64`
314×	`pow2_binary64`
256×	`fma-def_binary64`
216×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	280	39
2	3194	39

Stop Event

1×	node limit

Counts

3 → 254

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) 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 a (*.f64 -3 c))) b) b) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) 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 a (*.f64 -3 c))) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b)) 2) (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b) 1/6) (*.f64 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b) 1/6) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b)) (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 -3 c))) 3/2) (pow.f64 b 3)) (/.f64 1 (fma.f64 b (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) (fma.f64 b b (*.f64 a (*.f64 -3 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 -3 c))) (*.f64 b b)) (/.f64 1 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 -3 c))) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 -3 c))) 1/4) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b)) 2) 1) (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b)) 2) (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b) 1/6)) (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) b) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) (fma.f64 b b (*.f64 a (*.f64 -3 c)))) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 -3 c))) 3/2) (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) (-.f64 (fma.f64 b b (*.f64 a (*.f64 -3 c))) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 -3 c))) 3/2) (pow.f64 b 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simplify59.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

780×	`times-frac_binary64`
685×	`fma-def_binary64`
472×	`associate-/l*_binary64`
462×	`*-commutative_binary64`
461×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	1993
1	572	1705
2	2008	1656

Stop Event

1×	node limit

Counts

270 → 178

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 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 1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))
(+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (pow.f64 b 7))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))))
(*.f64 -2 b)
(+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (.f64 -2 b))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (.f64 -2 b) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))))))
(.f64 (sqrt.f64 (.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -3)))
(+.f64 (.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 (pow.f64 c 2) (.f64 1 (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 1/9)) (.f64 -1/3 (pow.f64 (.f64 (pow.f64 c 2) (.f64 1 (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 1/9))) b) (.f64 (sqrt.f64 (.f64 c a)) (.f64 (pow.f64 1 1/6) (sqrt.f64 -3))))
(+.f64 (.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 (pow.f64 c 2) (.f64 1 (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 1/9)) (.f64 -1/3 (pow.f64 (.f64 (pow.f64 c 2) (.f64 1 (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 1/9))) b) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 c a)) 1/18) (.f64 (pow.f64 1 1/3) (pow.f64 (/.f64 1 (sqrt.f64 -3)) 1/9)))) (+.f64 (.f64 (pow.f64 (.f64 c a) 1/6) (.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 1/9)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 c a)) 1/6) (.f64 (sqrt.f64 1) (.f64 (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c a)) 1/18) (.f64 (pow.f64 1 1/3) (pow.f64 (/.f64 1 (sqrt.f64 -3)) 1/9))))) (pow.f64 (/.f64 1 (sqrt.f64 -3)) 1/3)))))) (.f64 (sqrt.f64 1) (pow.f64 (sqrt.f64 -3) 1/3)))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c a)) 1/18) (.f64 (pow.f64 1 1/3) (pow.f64 (/.f64 1 (sqrt.f64 -3)) 1/9))))))))) (pow.f64 b 2)) (.f64 (sqrt.f64 (.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -3)))))
(+.f64 (.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 (pow.f64 c 2) (.f64 1 (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 1/9)) (.f64 -1/3 (pow.f64 (.f64 (pow.f64 c 2) (.f64 1 (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 1/9))) b) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 c a)) 1/18) (.f64 (pow.f64 1 1/3) (pow.f64 (/.f64 1 (sqrt.f64 -3)) 1/9)))) (+.f64 (.f64 (pow.f64 (.f64 c a) 1/6) (.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 1/9)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 c a)) 1/6) (.f64 (sqrt.f64 1) (.f64 (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c a)) 1/18) (.f64 (pow.f64 1 1/3) (pow.f64 (/.f64 1 (sqrt.f64 -3)) 1/9))))) (pow.f64 (/.f64 1 (sqrt.f64 -3)) 1/3)))))) (.f64 (sqrt.f64 1) (pow.f64 (sqrt.f64 -3) 1/3)))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c a)) 1/18) (.f64 (pow.f64 1 1/3) (pow.f64 (/.f64 1 (sqrt.f64 -3)) 1/9))))))))) (pow.f64 b 2)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 1/9)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 c a)) 1/6) (.f64 (sqrt.f64 1) (.f64 (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c a)) 1/18) (.f64 (pow.f64 1 1/3) (pow.f64 (/.f64 1 (sqrt.f64 -3)) 1/9))))) (pow.f64 (/.f64 1 (sqrt.f64 -3)) 1/3)))))) (pow.f64 (/.f64 1 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) 1/9))) (+.f64 (.f64 (pow.f64 (.f64 c a) 1/6) (.f64 (sqrt.f64 1) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 c a)) 1/6) (.f64 (sqrt.f64 1) (.f64 (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/18) (.f64 (pow.f64 1 1/3) (.f64 (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c a)) 1/18) (.f64 (pow.f64 1 1/3) (pow.f64 (/.f64 1 (sqrt.f64 -3)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -3) 5)) 1/9)))))) (pow.f64 (/.f64 1 (sqrt.f64 -3)) 1/3))))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) 1/9) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c a)) 1/18) (.f64 (pow.f64 1 1/3) (pow.f64 (/.f64 1 (sqrt.f64 -3)) 1/9)))))))) (pow.f64 (sqrt.f64 -3) 1/3)))) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/18) (.f64 (pow.f64 1 1/3) (.f64 (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c a)) 1/18) (.f64 (pow.f64 1 1/3) (pow.f64 (/.f64 1 (sqrt.f64 -3)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -3) 5)) 1/9))))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/18) (.f64 (pow.f64 1 1/3) (.f64 (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 c a)) 1/18) (.f64 (pow.f64 1 1/3) (pow.f64 (/.f64 1 (sqrt.f64 -3)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -3) 5)) 1/9))))))))))) (pow.f64 b 3)) (.f64 (sqrt.f64 (.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -3))))))

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)))
(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 (sqrt.f64 -3) (.f64 b b))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (neg.f64 b)))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (-.f64 (/.f64 (.f64 b (.f64 b (sqrt.f64 (/.f64 1 (.f64 c a))))) (/.f64 (sqrt.f64 -3) 1/2)) 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 (sqrt.f64 -3) (.f64 b 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 (sqrt.f64 -3) -3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (neg.f64 b))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 b (/.f64 b (sqrt.f64 -3)))) (-.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (.f64 1/24 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))))) b))
(.f64 1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))
(.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))))
(.f64 1/2 (.f64 (/.f64 c b) (*.f64 a -3)))
(.f64 1/2 (.f64 (*.f64 a -3) (/.f64 c b)))
(+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))
(fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 4))))))
(fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -3)) (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -9/8) (pow.f64 b 3)))
(fma.f64 1/2 (.f64 (.f64 a -3) (/.f64 c b)) (/.f64 (.f64 c (.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 3) -9/8)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4)))))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -27)) (fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -3)) (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -9/8) (pow.f64 b 3))))
(fma.f64 1/2 (.f64 (.f64 a -3) (/.f64 c b)) (fma.f64 1/16 (.f64 (.f64 (pow.f64 a 3) -27) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 (.f64 c (.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 3) -9/8))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (pow.f64 b 7))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))))
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8))) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (pow.f64 b 7)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 4))))))))
(fma.f64 -1/2 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 81/16) (pow.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -9/8) 2)) (pow.f64 b 7)) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -27)) (fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -3)) (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -9/8) (pow.f64 b 3)))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 a 4) 81) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (pow.f64 b 7)) (fma.f64 1/2 (.f64 (.f64 a -3) (/.f64 c b)) (fma.f64 1/16 (.f64 (.f64 (pow.f64 a 3) -27) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 (.f64 c (.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 3) -9/8)))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (.f64 -2 b))
(fma.f64 -1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (.f64 b -2))
(fma.f64 b -2 (.f64 (.f64 (/.f64 c b) (*.f64 a -3)) -1/2))
(fma.f64 b -2 (/.f64 (.f64 c -1/2) (/.f64 b (.f64 a -3))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (.f64 -2 b) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(fma.f64 -1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (fma.f64 -2 b (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 4)))) 1/8)))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -3)) -1/2 (fma.f64 (/.f64 (.f64 a (.f64 a 9)) (/.f64 (pow.f64 b 3) (.f64 c c))) 1/8 (.f64 b -2)))
(fma.f64 (.f64 (.f64 a -3) (/.f64 c b)) -1/2 (fma.f64 (.f64 (/.f64 (.f64 a (.f64 a 9)) (pow.f64 b 3)) (.f64 c c)) 1/8 (*.f64 b -2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))))))
(fma.f64 -1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (fma.f64 -2 b (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4)))) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))) -1/16))))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -3)) -1/2 (fma.f64 b -2 (fma.f64 (/.f64 (.f64 a (.f64 a 9)) (/.f64 (pow.f64 b 3) (.f64 c c))) 1/8 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -27)) -1/16))))
(fma.f64 b -2 (fma.f64 (.f64 (.f64 a -3) (/.f64 c b)) -1/2 (fma.f64 (.f64 (/.f64 (.f64 a (.f64 a 9)) (pow.f64 b 3)) (.f64 c c)) 1/8 (.f64 (/.f64 -1/16 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) -27))))))
(.f64 (sqrt.f64 (.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -3)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 (pow.f64 c 2) (.f64 1 (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 1/9)) (.f64 -1/3 (pow.f64 (.f64 (pow.f64 c 2) (.f64 1 (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 1/9))) b) (.f64 (sqrt.f64 (.f64 c a)) (.f64 (pow.f64 1 1/6) (sqrt.f64 -3))))
(fma.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4))) 1/18) (pow.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4))) 1/18)) -1) b (.f64 (sqrt.f64 (.f64 c a)) (*.f64 (sqrt.f64 -3) 1)))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (.f64 (.f64 (pow.f64 (.f64 c (.f64 c (.f64 a (.f64 a 9)))) 1/18) (pow.f64 (.f64 c (.f64 c (.f64 a (*.f64 a 9)))) 1/18)) (neg.f64 b)))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (.f64 (neg.f64 b) (.f64 (pow.f64 (.f64 c (.f64 c (.f64 a (.f64 a 9)))) 1/18) (pow.f64 (.f64 c (.f64 c (.f64 a (*.f64 a 9)))) 1/18))))
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localize8.0ms (0%)

Local error

Found 2 expressions with local error:

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

rewrite81.0ms (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))))))))

simplify12.0ms (0%)

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))

localize38.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1/3 a)
✓	3.6b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
✓	6.9b	(.f64 (/.f64 c b) (.f64 a 3/2))

Compiler

Compiled 59 to 30 computations (49.2% saved)

series13.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite89.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`log-prod_binary64`
597×	`fma-def_binary64`
380×	`fma-neg_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	301	32
2	4343	32

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs

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

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

simplify33.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
19×	`associate-/l*_binary64`
13×	`associate-/r/_binary64`
10×	`associate-r_binary64`
8×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	801
1	28	801
2	52	801
3	85	801
4	119	801
5	132	801

Stop Event

1×

saturated

Counts

145 → 81

Calls

Call 1

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

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

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 -3/2 (*.f64 a (/.f64 c b)) b)
✓	1.3b	(+.f64 (neg.f64 b) (fma.f64 -3/2 (*.f64 a (/.f64 c b)) b))
✓	3.4b	(/.f64 (+.f64 (neg.f64 b) (fma.f64 -3/2 (.f64 a (/.f64 c b)) b)) (.f64 3 a))
✓	6.8b	(*.f64 a (/.f64 c b))

Compiler

Compiled 55 to 21 computations (61.8% saved)

series27.0ms (0.1%)

Counts

4 → 144

Calls

36 calls:

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

rewrite112.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`prod-diff_binary64`
703×	`log-prod_binary64`
281×	`fma-def_binary64`
245×	`expm1-udef_binary64`
245×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	288	52
2	4167	52

Stop Event

1×	node limit

Counts

4 → 211

Calls

Call 1

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

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

simplify61.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative_binary64`
17×	`associate-/l*_binary64`
17×	`fma-def_binary64`
12×	`associate-/r/_binary64`
10×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	1215
1	23	1215
2	41	1215
3	72	1215
4	107	1215
5	127	1215
6	129	1215

Stop Event

1×

saturated

Counts

355 → 220

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

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

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1/3 a)
✓	0.5b	(pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) 2)
✓	12.9b	(-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) 2) b)
✓	25.0b	(pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4)

Compiler

Compiled 81 to 46 computations (43.2% saved)

series120.0ms (0.5%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
55.0ms	a	@	inf	(-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) 2) b)
24.0ms	b	@	0	(pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4)
3.0ms	a	@	0	(-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) 2) b)
3.0ms	c	@	0	(-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) 2) b)
3.0ms	c	@	inf	(-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) 2) b)

rewrite216.0ms (0.8%)

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

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

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((#(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))))))

simplify157.0ms (0.6%)

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))))
(+.f64 (/.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)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a))))))) (pow.f64 a 2)) (+.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)))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) (+.f64 (.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))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) (+.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 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) (+.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)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (.f64 c a))) (+.f64 (/.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)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 2)) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (.f64 c a))) (+.f64 (.f64 -1 (/.f64 (.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))))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 3))) (+.f64 (/.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)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 2)) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))))))
(pow.f64 (.f64 -3 (.f64 c a)) 1/4)
(+.f64 (.f64 -1/12 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (.f64 -3 (*.f64 c a)) 1/4))
(+.f64 (.f64 -1/96 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (.f64 -3 (.f64 c a)) 1/4)))
(+.f64 (.f64 -1/96 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -7/3456 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (pow.f64 (.f64 -3 (*.f64 c a)) 1/4))))
(sqrt.f64 b)
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(.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))))
(+.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 c)) (log.f64 (.f64 a 3)))) (.f64 -1/12 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 c)) (log.f64 (.f64 a 3)))) (/.f64 (.f64 c a) (*.f64 b b)))))
(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 (/.f64 -1 c)))) a)) (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 a 3)) (log.f64 (/.f64 -1 c)))))
(+.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 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 c)) (log.f64 (.f64 a 3)))) (.f64 -1/12 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 c)) (log.f64 (.f64 a 3)))) (/.f64 (.f64 c a) (.f64 b b))))) (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 c)) (log.f64 (.f64 a 3)))) (/.f64 (.f64 c c) (.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -1/96))))
(+.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 (/.f64 -1 c)))) a)) (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 a 3)) (log.f64 (/.f64 -1 c))))) (.f64 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 a 3)) (log.f64 (/.f64 -1 c)))) c) (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -1/96) c)))
(+.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 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 c)) (log.f64 (.f64 a 3)))) (/.f64 (.f64 c c) (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -1/96))) (+.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 c)) (log.f64 (.f64 a 3)))) (fma.f64 -1 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 c)) (log.f64 (.f64 a 3)))) (/.f64 (pow.f64 c 3) (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 -1/12 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 c)) (log.f64 (.f64 a 3)))) (/.f64 (.f64 c a) (*.f64 b b)))))))
(+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 a 3)) (log.f64 (/.f64 -1 c)))) c) (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -1/96) c)) (+.f64 (/.f64 (neg.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 a 3)) (log.f64 (/.f64 -1 c))))) (/.f64 (pow.f64 c 3) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) 7/3456))) (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 (/.f64 -1 c)))) a)) (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 a 3)) (log.f64 (/.f64 -1 c)))))))
(*.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 (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))))
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(-.f64 (fma.f64 -1/6 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a))))) a)) (fma.f64 2 (.f64 (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a))))) a) (/.f64 (.f64 (/.f64 (/.f64 (pow.f64 b 4) c) c) -1/96) a)) (fma.f64 1/144 (.f64 (/.f64 (pow.f64 b 4) (.f64 c (.f64 c (.f64 a a)))) (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))))) (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))))))) (/.f64 (fma.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 7/3456) (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))))) (/.f64 (.f64 (.f64 (/.f64 (/.f64 (pow.f64 b 4) c) c) -1/96) 1/6) (/.f64 (/.f64 c (.f64 b b)) (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (*.f64 c 3)) (log.f64 (/.f64 -1 a)))))))) (pow.f64 a 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 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)))
(fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 b b) (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))))
(fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 (.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3)))) -1/72) (pow.f64 b 4) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) -1/72)) (.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)))))
(fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 (.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))))) -1/432) (pow.f64 b 6) (fma.f64 (.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3)))) -1/72) (pow.f64 b 4) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 (pow.f64 b 6) (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (.f64 (sqrt.f64 -3) -1/432)) (fma.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) -1/72)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
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)
(+.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)))
(fma.f64 2 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -27/32) (pow.f64 b 3)) (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 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)))))))

eval1.0s (4%)

Compiler: Compiled 33920 to 22152 computations (34.7% saved)

prune226.0ms (0.9%)

Pruning

41 alts after pruning (39 fresh and 2 done)

	Pruned	Kept	Total
New	934	31	965
Fresh	13	8	21
Picked	1	0	1
Done	2	2	4
Total	950	41	991

Error

0.4b

Counts

991 → 41

Alt Table

Click to see full alt table

Status	Error	Program
	60.0b	(pow.f64 (pow.f64 (.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) (+.f64 b b)) (/.f64 1/3 a)) 3) 1/3)
	45.9b	(pow.f64 (cbrt.f64 (*.f64 b (/.f64 -2/3 a))) 3)
	51.7b	(/.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) (.f64 (.f64 c c) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 a a)))) (.f64 3 a))
	46.1b	(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 a (/.f64 b c)) -3/2) b)) (.f64 3 a))
▶	36.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (.f64 3 c)))))) (.f64 3 a))
	44.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
	46.0b	(/.f64 (.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) (+.f64 b b)) 1/3) a)
	44.2b	(/.f64 (.f64 (.f64 c -3/2) (/.f64 a b)) (*.f64 3 a))
	45.7b	(/.f64 (*.f64 b -2/3) a)
	45.7b	(/.f64 (.f64 b -2) (.f64 a 3))
	63.1b	(/.f64 (exp.f64 (log.f64 (fma.f64 (/.f64 a (/.f64 b c)) -3/2 (+.f64 b b)))) (*.f64 3 a))
	46.0b	(/.f64 1 (/.f64 a (.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) (+.f64 b b)) 1/3)))
	45.7b	(/.f64 1 (/.f64 a (*.f64 b -2/3)))
▶	48.9b	(-.f64 (+.f64 1 (*.f64 b (/.f64 -2/3 a))) 1)
	45.9b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
	48.3b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c))) b)) 3) (/.f64 1/3 a))
✓	33.2b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))) b)) 3) (/.f64 1/3 a))
	41.2b	(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (.f64 (.f64 a -3) (/.f64 c b)))) 3) (/.f64 1/3 a))
▶	44.5b	(.f64 (-.f64 (pow.f64 (pow.f64 (.f64 a (*.f64 c -3)) 1/4) 2) b) (/.f64 1/3 a))
	53.6b	(.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))
	53.6b	(.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))
	48.1b	(.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -3))) b) b) (/.f64 1/3 a))
	46.0b	(.f64 (-.f64 (-.f64 (/.f64 (.f64 a 3/2) (/.f64 b c)) b) b) (/.f64 1/3 a))
	44.4b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	44.4b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
	45.8b	(.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 c a) -3 (*.f64 b b)) 3/2)) b) (/.f64 1/3 a))
	52.1b	(.f64 (+.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 1/3 a))
	41.0b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
▶	45.7b	(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
✓	45.7b	(.f64 (.f64 b -2) (/.f64 1/3 a))
	55.2b	(.f64 (.f64 b -2) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))
	54.7b	(.f64 (.f64 b -2) (exp.f64 (log.f64 (/.f64 1/3 a))))
	42.8b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
	56.1b	(*.f64 c (/.f64 1/2 b))
	37.7b	(*.f64 c (/.f64 -1/2 b))
	56.1b	(*.f64 1/2 (/.f64 c b))
	55.6b	(*.f64 0 (/.f64 1/3 a))
	37.6b	(*.f64 -1/2 (/.f64 c b))
▶	45.7b	(*.f64 -2/3 (/.f64 b a))
	58.6b	(sqrt.f64 (pow.f64 (*.f64 b (/.f64 -2/3 a)) 2))
	54.8b	(exp.f64 (log.f64 (*.f64 b (/.f64 -2/3 a))))

Compiler

Compiled 1226 to 919 computations (25% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 a (.f64 3 c))
✓	0.7b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (*.f64 3 c))))))
✓	0.8b	(-.f64 (.f64 b b) (+.f64 0 (.f64 a (*.f64 3 c))))
✓	24.4b	(sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (*.f64 3 c)))))

Compiler

Compiled 88 to 51 computations (42% saved)

series12.0ms (0%)

Counts

4 → 100

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (*.f64 3 c)))))
0.0ms	a	@	-inf	(sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (*.f64 3 c)))))
0.0ms	a	@	inf	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (*.f64 3 c))))))
0.0ms	c	@	inf	(sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (*.f64 3 c)))))
0.0ms	c	@	-inf	(sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (*.f64 3 c)))))

rewrite108.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

688×	`fma-def_binary64`
616×	`log-prod_binary64`
391×	`fma-neg_binary64`
222×	`expm1-udef_binary64`
222×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	55
1	318	53
2	4262	51

Stop Event

1×	node limit

Counts

4 → 297

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (*.f64 3 c)))))
(-.f64 (.f64 b b) (+.f64 0 (.f64 a (*.f64 3 c))))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (*.f64 3 c))))))
(.f64 a (.f64 3 c))

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

simplify95.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

712×	`times-frac_binary64`
670×	`associate-r_binary64`
630×	`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	7843	1799

Stop Event

1×	node limit

Counts

397 → 352

Calls

Call 1

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	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))

rewrite50.0ms (0.2%)

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))))))))

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize27.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 b (/.f64 -2/3 a))
✓	0.3b	(/.f64 -2/3 a)
✓	2.3b	(-.f64 (+.f64 1 (*.f64 b (/.f64 -2/3 a))) 1)

Compiler

Compiled 31 to 22 computations (29% saved)

series9.0ms (0%)

Counts

3 → 48

Calls

15 calls:

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

rewrite129.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`unpow-prod-down_binary64`
576×	`prod-diff_binary64`
440×	`fma-def_binary64`
397×	`log-prod_binary64`
231×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	204	18
2	2787	18

Stop Event

1×	node limit

Counts

3 → 250

Calls

Call 1

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

Outputs

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

simplify34.0ms (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	336
1	9	336
2	13	336
3	17	336
4	18	336

Stop Event

1×

saturated

Counts

298 → 170

Calls

Call 1

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

localize25.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 21 computations (25% saved)

series6.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite84.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

900×	`pow1_binary64`
835×	`add-log-exp_binary64`
834×	`log1p-expm1-u_binary64`
834×	`expm1-log1p-u_binary64`
818×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	208	14
2	2323	14

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs

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

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

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	8	216
1	11	216
2	15	216
3	19	216
4	20	216

Stop Event

1×

saturated

Counts

73 → 38

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)
(*.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 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)
(*.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))

localize67.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (pow.f64 (.f64 a (.f64 c -3)) 1/4) 2)
	0.3b	(/.f64 1/3 a)
✓	0.4b	(.f64 a (.f64 c -3))
✓	11.6b	(pow.f64 (.f64 a (.f64 c -3)) 1/4)

Compiler

Compiled 63 to 45 computations (28.6% saved)

series171.0ms (0.6%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
69.0ms	a	@	-inf	(pow.f64 (.f64 a (.f64 c -3)) 1/4)
38.0ms	a	@	0	(pow.f64 (.f64 a (.f64 c -3)) 1/4)
21.0ms	c	@	-inf	(pow.f64 (.f64 a (.f64 c -3)) 1/4)
17.0ms	c	@	0	(pow.f64 (.f64 a (.f64 c -3)) 1/4)
11.0ms	a	@	inf	(pow.f64 (.f64 a (.f64 c -3)) 1/4)

rewrite71.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`pow1_binary64`
823×	`add-log-exp_binary64`
823×	`log1p-expm1-u_binary64`
823×	`expm1-log1p-u_binary64`
803×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	217	26
2	2397	26

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

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

Outputs

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

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

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

simplify69.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

423×	`fma-neg_binary64`
387×	`exp-sum_binary64`
364×	`fma-def_binary64`
358×	`distribute-rgt-in_binary64`
295×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	1008
1	160	1008
2	397	864
3	1107	624
4	4107	624

Stop Event

1×	node limit

Counts

135 → 79

Calls

Call 1

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

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

eval487.0ms (1.8%)

Compiler: Compiled 14881 to 10139 computations (31.9% saved)

prune166.0ms (0.6%)

Pruning

45 alts after pruning (42 fresh and 3 done)

	Pruned	Kept	Total
New	666	19	685
Fresh	11	23	34
Picked	0	1	1
Done	4	2	6
Total	681	45	726

Error

0.2b

Counts

726 → 45

Alt Table

Click to see full alt table

Status	Error	Program
	60.0b	(pow.f64 (pow.f64 (.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) (+.f64 b b)) (/.f64 1/3 a)) 3) 1/3)
	46.0b	(pow.f64 (cbrt.f64 (*.f64 -2/3 (/.f64 b a))) 3)
	51.7b	(/.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) (.f64 (.f64 c c) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 a a)))) (.f64 3 a))
	46.1b	(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 a (/.f64 b c)) -3/2) b)) (.f64 3 a))
	44.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
	46.0b	(/.f64 (.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) (+.f64 b b)) 1/3) a)
	44.2b	(/.f64 (.f64 (.f64 c -3/2) (/.f64 a b)) (*.f64 3 a))
	45.7b	(/.f64 (*.f64 b -2/3) a)
	45.7b	(/.f64 b (*.f64 a -3/2))
▶	46.0b	(/.f64 1 (/.f64 a (.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) (+.f64 b b)) 1/3)))
	45.7b	(/.f64 1 (/.f64 a (*.f64 b -2/3)))
	45.7b	(/.f64 -2/3 (/.f64 a b))
✓	48.9b	(-.f64 (+.f64 1 (*.f64 b (/.f64 -2/3 a))) 1)
	48.9b	(+.f64 (fma.f64 b (/.f64 -2/3 a) -1) 1)
	45.9b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
	48.3b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c))) b)) 3) (/.f64 1/3 a))
	41.2b	(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (.f64 (.f64 a -3) (/.f64 c b)))) 3) (/.f64 1/3 a))
	45.7b	(*.f64 (/.f64 -2/3 a) b)
✓	44.5b	(.f64 (-.f64 (pow.f64 (pow.f64 (.f64 a (*.f64 c -3)) 1/4) 2) b) (/.f64 1/3 a))
	52.9b	(.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (*.f64 c -3) 1/4) (pow.f64 a 1/4)) 2) b) (/.f64 1/3 a))
	48.1b	(.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -3))) b) b) (/.f64 1/3 a))
	46.0b	(.f64 (-.f64 (-.f64 (/.f64 (.f64 a 3/2) (/.f64 b c)) b) b) (/.f64 1/3 a))
	52.8b	(.f64 (-.f64 (.f64 (pow.f64 (pow.f64 a 1/4) 2) (pow.f64 (pow.f64 (*.f64 c -3) 1/4) 2)) b) (/.f64 1/3 a))
▶	52.8b	(.f64 (-.f64 (.f64 (sqrt.f64 (*.f64 c -3)) (sqrt.f64 a)) b) (/.f64 1/3 a))
	44.4b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	44.4b	(.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 c -3))) b) (/.f64 1/3 a))
	45.8b	(.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 c a) -3 (*.f64 b b)) 3/2)) b) (/.f64 1/3 a))
	50.0b	(.f64 (-.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 a (*.f64 c -3))) 3)) b) (/.f64 1/3 a))
	52.1b	(.f64 (+.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 1/3 a))
	41.0b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
	45.7b	(.f64 (.f64 b -2) (/.f64 (/.f64 1 a) 3))
▶	45.7b	(.f64 (.f64 b -2) (/.f64 1 (*.f64 a 3)))
	52.2b	(.f64 (.f64 b -2) (-.f64 (+.f64 1 (/.f64 1/3 a)) 1))
	55.2b	(.f64 (.f64 b -2) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))
	54.7b	(.f64 (.f64 b -2) (exp.f64 (log.f64 (/.f64 1/3 a))))
	42.8b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
	56.1b	(*.f64 c (/.f64 1/2 b))
	37.7b	(*.f64 c (/.f64 -1/2 b))
	56.1b	(*.f64 1/2 (/.f64 c b))
▶	55.6b	(*.f64 0 (/.f64 1/3 a))
▶	37.6b	(*.f64 -1/2 (/.f64 c b))
✓	45.7b	(*.f64 -2/3 (/.f64 b a))
	45.7b	(.f64 -2/3 (.f64 (/.f64 1 a) b))
	58.6b	(sqrt.f64 (pow.f64 (*.f64 b (/.f64 -2/3 a)) 2))
	54.8b	(exp.f64 (log.f64 (*.f64 b (/.f64 -2/3 a))))

Compiler

Compiled 1250 to 942 computations (24.6% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series5.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite43.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1/3 a)

Compiler

Compiled 14 to 11 computations (21.4% saved)

localize12.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 21 computations (25% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite62.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`pow1_binary64`
870×	`add-log-exp_binary64`
868×	`log1p-expm1-u_binary64`
868×	`expm1-log1p-u_binary64`
854×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	206	11
2	2442	11

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

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

simplify12.0ms (0%)

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	8	216
1	11	216
2	15	216
3	19	216
4	20	216

Stop Event

1×

saturated

Counts

88 → 54

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)
(*.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 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)
(*.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 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 a (.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) (+.f64 b b)) 1/3)))
✓	0.3b	(.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) (+.f64 b b)) 1/3)
✓	3.6b	(/.f64 a (.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) (+.f64 b b)) 1/3))
	6.9b	(.f64 (/.f64 c b) (.f64 a 3/2))

Compiler

Compiled 81 to 39 computations (51.9% saved)

series16.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite93.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

862×	`log-prod_binary64`
440×	`fma-def_binary64`
300×	`fma-neg_binary64`
283×	`expm1-udef_binary64`
283×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	66
1	341	57
2	5104	57

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

Inputs

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

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (fma.f64 3/2 (/.f64 (*.f64 c a) b) b) b) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) 1/3) (*.f64 (+.f64 b b) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 3/2 (/.f64 (*.f64 c a) b))) (*.f64 1/3 (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (+.f64 (fma.f64 3/2 (/.f64 (*.f64 c a) b) b) b))) (cbrt.f64 (pow.f64 (exp.f64 1/3) (+.f64 (fma.f64 3/2 (/.f64 (*.f64 c a) b) b) b))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (+.f64 (fma.f64 3/2 (/.f64 (*.f64 c a) b) b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (+.f64 (fma.f64 3/2 (/.f64 (*.f64 c a) b) b) b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (+.f64 (fma.f64 3/2 (/.f64 (*.f64 c a) b) b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (fma.f64 3/2 (/.f64 (*.f64 c a) b) b) b) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 c a) b) 3) 27/8 (+.f64 b b)) 1/3) (+.f64 (pow.f64 (+.f64 (fma.f64 3/2 (/.f64 (*.f64 c a) b) b) b) 2) (/.f64 (*.f64 (*.f64 c (*.f64 a 3/2)) 0) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 3/2 (/.f64 (*.f64 c a) b) b) b) 2) 1/3) (+.f64 (fma.f64 3/2 (/.f64 (*.f64 c a) b) b) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (fma.f64 (pow.f64 (/.f64 (*.f64 c a) b) 3) 27/8 (+.f64 b b))) (+.f64 (pow.f64 (+.f64 (fma.f64 3/2 (/.f64 (*.f64 c a) b) b) b) 2) (/.f64 (*.f64 (*.f64 c (*.f64 a 3/2)) 0) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (pow.f64 (+.f64 (fma.f64 3/2 (/.f64 (*.f64 c a) b) b) b) 2)) (+.f64 (fma.f64 3/2 (/.f64 (*.f64 c a) b) b) b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (fma.f64 3/2 (/.f64 (*.f64 c a) b) b) b) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (fma.f64 3/2 (/.f64 (*.f64 c a) b) b) b) 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (fma.f64 3/2 (/.f64 (*.f64 c a) b) b) b) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (fma.f64 3/2 (/.f64 (*.f64 c a) b) b) b) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 (+.f64 (fma.f64 3/2 (/.f64 (*.f64 c a) b) b) b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (+.f64 (fma.f64 3/2 (/.f64 (*.f64 c a) b) b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (fma.f64 3/2 (/.f64 (*.f64 c a) b) b) b) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (fma.f64 3/2 (/.f64 (*.f64 c a) b) b) b) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (fma.f64 3/2 (/.f64 (*.f64 c a) b) b) b) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (fma.f64 3/2 (/.f64 (*.f64 c a) b) b) b) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (fma.f64 3/2 (/.f64 (*.f64 c a) b) b) b) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (fma.f64 3/2 (/.f64 (*.f64 c a) b) b) b) 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) 1/3 (*.f64 (+.f64 b b) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (*.f64 1/3 (+.f64 b b)))))))

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

simplify180.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1032×	`associate-/l/_binary64`
891×	`associate-/r/_binary64`
524×	`times-frac_binary64`
513×	`unswap-sqr_binary64`
346×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	2082
1	194	2082
2	661	2082
3	3702	2055
4	4701	2055
5	4805	2055
6	5133	2055
7	5625	2055
8	5868	2055

Stop Event

1×	node limit

Counts

226 → 144

Calls

Call 1

Inputs
(*.f64 -3/2 (/.f64 a b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 c (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -3/2 (/.f64 a b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 c (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -27/32 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -3/2 (/.f64 a b))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 c (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -81/128 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 4)) (pow.f64 b 7))) (+.f64 (.f64 -27/32 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -3/2 (/.f64 a b)))))
(*.f64 2 (/.f64 b c))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 2) a))) (*.f64 2 (/.f64 b c)))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 2) a))) (+.f64 (.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (pow.f64 a 2)))) (*.f64 2 (/.f64 b c))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 2) a))) (+.f64 (.f64 128/27 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 4) (pow.f64 a 3)))) (+.f64 (.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (pow.f64 a 2)))) (*.f64 2 (/.f64 b c)))))
(*.f64 2 (/.f64 b c))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 2) a))) (*.f64 2 (/.f64 b c)))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 2) a))) (+.f64 (.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (pow.f64 a 2)))) (*.f64 2 (/.f64 b c))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 2) a))) (+.f64 (.f64 128/27 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 4) (pow.f64 a 3)))) (+.f64 (.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (pow.f64 a 2)))) (*.f64 2 (/.f64 b c)))))
(*.f64 -3/2 (/.f64 a b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 c (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -3/2 (/.f64 a b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 c (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -27/32 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -3/2 (/.f64 a b))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 c (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -81/128 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 4)) (pow.f64 b 7))) (+.f64 (.f64 -27/32 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -3/2 (/.f64 a b)))))
(*.f64 2 (/.f64 b c))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 2) a))) (*.f64 2 (/.f64 b c)))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 2) a))) (+.f64 (.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (pow.f64 a 2)))) (*.f64 2 (/.f64 b c))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 2) a))) (+.f64 (.f64 128/27 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 4) (pow.f64 a 3)))) (+.f64 (.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (pow.f64 a 2)))) (*.f64 2 (/.f64 b c)))))
(*.f64 2 (/.f64 b c))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 2) a))) (*.f64 2 (/.f64 b c)))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 2) a))) (+.f64 (.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (pow.f64 a 2)))) (*.f64 2 (/.f64 b c))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 2) a))) (+.f64 (.f64 128/27 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 4) (pow.f64 a 3)))) (+.f64 (.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (pow.f64 a 2)))) (*.f64 2 (/.f64 b c)))))
(*.f64 2 (/.f64 b c))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 2) a))) (*.f64 2 (/.f64 b c)))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 2) a))) (+.f64 (.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (pow.f64 a 2)))) (*.f64 2 (/.f64 b c))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 2) a))) (+.f64 (.f64 128/27 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 4) (pow.f64 a 3)))) (+.f64 (.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (pow.f64 a 2)))) (*.f64 2 (/.f64 b c)))))
(*.f64 -3/2 (/.f64 a b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 c (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -3/2 (/.f64 a b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 c (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -27/32 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -3/2 (/.f64 a b))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 c (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -81/128 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 4)) (pow.f64 b 7))) (+.f64 (.f64 -27/32 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -3/2 (/.f64 a b)))))
(*.f64 -3/2 (/.f64 a b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 c (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -3/2 (/.f64 a b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 c (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -27/32 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -3/2 (/.f64 a b))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 c (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -81/128 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 4)) (pow.f64 b 7))) (+.f64 (.f64 -27/32 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -3/2 (/.f64 a b)))))
(*.f64 -2/3 b)
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(.f64 1/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(.f64 1/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(.f64 1/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(*.f64 -2/3 b)
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(*.f64 -2/3 b)
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(*.f64 -2/3 b)
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(.f64 1/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(.f64 1/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (*.f64 -2/3 b))
(*.f64 -2/3 (/.f64 b a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(*.f64 1/2 (/.f64 c b))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(*.f64 1/2 (/.f64 c b))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(*.f64 -2/3 (/.f64 b a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(*.f64 1/2 (/.f64 c b))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(*.f64 1/2 (/.f64 c b))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(*.f64 1/2 (/.f64 c b))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(*.f64 -2/3 (/.f64 b a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(*.f64 -2/3 (/.f64 b a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))

Outputs
(*.f64 -3/2 (/.f64 a b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 c (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -3/2 (/.f64 a b)))
(fma.f64 -9/8 (/.f64 (.f64 c (.f64 a a)) (pow.f64 b 3)) (*.f64 -3/2 (/.f64 a b)))
(fma.f64 -3/2 (/.f64 a b) (.f64 -9/8 (/.f64 (.f64 c (*.f64 a a)) (pow.f64 b 3))))
(fma.f64 -3/2 (/.f64 a b) (.f64 -9/8 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a a)))))
(.f64 a (+.f64 (/.f64 -3/2 b) (/.f64 (.f64 -9/8 c) (/.f64 (pow.f64 b 3) a))))
(.f64 a (+.f64 (/.f64 (.f64 -9/8 c) (/.f64 (pow.f64 b 3) a)) (/.f64 -3/2 b)))
(.f64 a (+.f64 (.f64 (/.f64 (*.f64 -9/8 c) (pow.f64 b 3)) a) (/.f64 -3/2 b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 c (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -27/32 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -3/2 (/.f64 a b))))
(fma.f64 -9/8 (/.f64 (.f64 c (.f64 a a)) (pow.f64 b 3)) (fma.f64 -27/32 (/.f64 (.f64 (.f64 c c) (pow.f64 a 3)) (pow.f64 b 5)) (*.f64 -3/2 (/.f64 a b))))
(fma.f64 -9/8 (/.f64 (.f64 c (.f64 a a)) (pow.f64 b 3)) (fma.f64 -3/2 (/.f64 a b) (/.f64 (.f64 -27/32 (.f64 c c)) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))
(fma.f64 -9/8 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 a b) (.f64 -27/32 (/.f64 c (/.f64 (pow.f64 b 5) (*.f64 c (pow.f64 a 3)))))))
(fma.f64 -3/2 (/.f64 a b) (.f64 (.f64 a a) (+.f64 (/.f64 (.f64 -9/8 c) (pow.f64 b 3)) (/.f64 (.f64 -27/32 (*.f64 c c)) (/.f64 (pow.f64 b 5) a)))))
(fma.f64 -3/2 (/.f64 a b) (.f64 (.f64 a a) (+.f64 (/.f64 (.f64 -9/8 c) (pow.f64 b 3)) (/.f64 (.f64 c (*.f64 c -27/32)) (/.f64 (pow.f64 b 5) a)))))
(fma.f64 -3/2 (/.f64 a b) (.f64 (.f64 a a) (+.f64 (/.f64 (.f64 -9/8 c) (pow.f64 b 3)) (.f64 (/.f64 (.f64 c (.f64 c -27/32)) (pow.f64 b 5)) a))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 c (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -81/128 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 4)) (pow.f64 b 7))) (+.f64 (.f64 -27/32 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -3/2 (/.f64 a b)))))
(fma.f64 -9/8 (/.f64 (.f64 c (.f64 a a)) (pow.f64 b 3)) (fma.f64 -81/128 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 7) (pow.f64 a 4))) (fma.f64 -27/32 (/.f64 (.f64 (.f64 c c) (pow.f64 a 3)) (pow.f64 b 5)) (*.f64 -3/2 (/.f64 a b)))))
(fma.f64 -9/8 (/.f64 (.f64 c (.f64 a a)) (pow.f64 b 3)) (fma.f64 -81/128 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 7)) (pow.f64 a 4)) (fma.f64 -3/2 (/.f64 a b) (/.f64 (.f64 -27/32 (*.f64 c c)) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))
(fma.f64 -9/8 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -27/32 (/.f64 c (/.f64 (pow.f64 b 5) (.f64 c (pow.f64 a 3)))) (fma.f64 -3/2 (/.f64 a b) (.f64 -81/128 (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 7)) (pow.f64 c 3))))))
(fma.f64 -81/128 (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 7)) (pow.f64 c 3)) (fma.f64 -3/2 (/.f64 a b) (.f64 (.f64 a a) (+.f64 (/.f64 (.f64 -9/8 c) (pow.f64 b 3)) (/.f64 (.f64 -27/32 (.f64 c c)) (/.f64 (pow.f64 b 5) a))))))
(fma.f64 -81/128 (.f64 (pow.f64 a 4) (/.f64 (pow.f64 c 3) (pow.f64 b 7))) (fma.f64 -3/2 (/.f64 a b) (.f64 (.f64 a a) (+.f64 (/.f64 (.f64 -9/8 c) (pow.f64 b 3)) (/.f64 (.f64 c (.f64 c -27/32)) (/.f64 (pow.f64 b 5) a))))))
(fma.f64 -81/128 (.f64 (pow.f64 a 4) (/.f64 (pow.f64 c 3) (pow.f64 b 7))) (fma.f64 -3/2 (/.f64 a b) (.f64 (.f64 a a) (+.f64 (/.f64 (.f64 -9/8 c) (pow.f64 b 3)) (.f64 (/.f64 (.f64 c (*.f64 c -27/32)) (pow.f64 b 5)) a)))))
(*.f64 2 (/.f64 b c))
(*.f64 (/.f64 2 c) b)
(+.f64 (.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 2) a))) (*.f64 2 (/.f64 b c)))
(fma.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c))) (*.f64 2 (/.f64 b c)))
(fma.f64 2 (/.f64 b c) (.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 a (*.f64 c c)))))
(.f64 (/.f64 b c) (+.f64 2 (/.f64 (.f64 8/3 (.f64 b b)) (.f64 a c))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 2) a))) (+.f64 (.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (pow.f64 a 2)))) (*.f64 2 (/.f64 b c))))
(fma.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c))) (fma.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 c 3))) (*.f64 2 (/.f64 b c))))
(fma.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c))) (fma.f64 2 (/.f64 b c) (.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (*.f64 a a) (pow.f64 c 3))))))
(fma.f64 2 (/.f64 b c) (fma.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c))) (.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (*.f64 a a) (pow.f64 c 3))))))
(fma.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 c 3))) (.f64 (/.f64 b c) (+.f64 2 (/.f64 (.f64 8/3 (.f64 b b)) (.f64 a c)))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 2) a))) (+.f64 (.f64 128/27 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 4) (pow.f64 a 3)))) (+.f64 (.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (pow.f64 a 2)))) (*.f64 2 (/.f64 b c)))))
(fma.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c))) (fma.f64 128/27 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 a 3) (pow.f64 c 4))) (fma.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 c 3))) (.f64 2 (/.f64 b c)))))
(fma.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c))) (fma.f64 128/27 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 a 3) (pow.f64 c 4))) (fma.f64 2 (/.f64 b c) (.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 c 3)))))))
(fma.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c))) (fma.f64 2 (/.f64 b c) (fma.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 c 3))) (/.f64 (/.f64 (pow.f64 b 7) (/.f64 (pow.f64 a 3) 128/27)) (pow.f64 c 4)))))
(fma.f64 128/27 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 a 3) (pow.f64 c 4))) (fma.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 c 3))) (.f64 (/.f64 b c) (+.f64 2 (/.f64 (.f64 8/3 (.f64 b b)) (*.f64 a c))))))
(*.f64 2 (/.f64 b c))
(*.f64 (/.f64 2 c) b)
(+.f64 (.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 2) a))) (*.f64 2 (/.f64 b c)))
(fma.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c))) (*.f64 2 (/.f64 b c)))
(fma.f64 2 (/.f64 b c) (.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 a (*.f64 c c)))))
(.f64 (/.f64 b c) (+.f64 2 (/.f64 (.f64 8/3 (.f64 b b)) (.f64 a c))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 2) a))) (+.f64 (.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (pow.f64 a 2)))) (*.f64 2 (/.f64 b c))))
(fma.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c))) (fma.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 c 3))) (*.f64 2 (/.f64 b c))))
(fma.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c))) (fma.f64 2 (/.f64 b c) (.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (*.f64 a a) (pow.f64 c 3))))))
(fma.f64 2 (/.f64 b c) (fma.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c))) (.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (*.f64 a a) (pow.f64 c 3))))))
(fma.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 c 3))) (.f64 (/.f64 b c) (+.f64 2 (/.f64 (.f64 8/3 (.f64 b b)) (.f64 a c)))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 2) a))) (+.f64 (.f64 128/27 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 4) (pow.f64 a 3)))) (+.f64 (.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (pow.f64 a 2)))) (*.f64 2 (/.f64 b c)))))
(fma.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c))) (fma.f64 128/27 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 a 3) (pow.f64 c 4))) (fma.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 c 3))) (.f64 2 (/.f64 b c)))))
(fma.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c))) (fma.f64 128/27 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 a 3) (pow.f64 c 4))) (fma.f64 2 (/.f64 b c) (.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 c 3)))))))
(fma.f64 8/3 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c))) (fma.f64 2 (/.f64 b c) (fma.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 c 3))) (/.f64 (/.f64 (pow.f64 b 7) (/.f64 (pow.f64 a 3) 128/27)) (pow.f64 c 4)))))
(fma.f64 128/27 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 a 3) (pow.f64 c 4))) (fma.f64 32/9 (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 c 3))) (.f64 (/.f64 b c) (+.f64 2 (/.f64 (.f64 8/3 (.f64 b b)) (*.f64 a c))))))
(*.f64 -3/2 (/.f64 a b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 c (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -3/2 (/.f64 a b)))
(fma.f64 -9/8 (/.f64 (.f64 c (.f64 a a)) (pow.f64 b 3)) (*.f64 -3/2 (/.f64 a b)))
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(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 1/2 (/.f64 c b) (/.f64 b (/.f64 a -2/3)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 1/2 (/.f64 c b) (/.f64 b (/.f64 a -2/3)))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (*.f64 c -3))
✓	0.1b	(.f64 (sqrt.f64 (.f64 c -3)) (sqrt.f64 a))
✓	0.1b	(.f64 (-.f64 (.f64 (sqrt.f64 (*.f64 c -3)) (sqrt.f64 a)) b) (/.f64 1/3 a))
	0.3b	(/.f64 1/3 a)

Compiler

Compiled 49 to 30 computations (38.8% saved)

series16.0ms (0.1%)

Counts

3 → 14

Calls

18 calls:

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

rewrite79.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

730×	`prod-diff_binary64`
668×	`log-prod_binary64`
311×	`fma-def_binary64`
243×	`pow1/3_binary64`
242×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	283	33
2	3614	33

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

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

Outputs

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

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

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

simplify15.0ms (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

109 → 101

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)))

eval131.0ms (0.5%)

Compiler: Compiled 6943 to 4323 computations (37.7% saved)

prune99.0ms (0.4%)

Pruning

53 alts after pruning (45 fresh and 8 done)

	Pruned	Kept	Total
New	379	20	399
Fresh	12	25	37
Picked	0	1	1
Done	0	7	7
Total	391	53	444

Error

0.2b

Counts

444 → 53

Alt Table

Click to see full alt table

Status	Error	Program
	60.0b	(pow.f64 (pow.f64 (.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) (+.f64 b b)) (/.f64 1/3 a)) 3) 1/3)
	53.3b	(pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b)) 3) 1/3)
	46.0b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 b a) -2/3)) 3)
	51.7b	(/.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) (.f64 (.f64 c c) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 a a)))) (.f64 3 a))
	45.7b	(/.f64 (/.f64 (*.f64 b -2) 3) a)
	44.4b	(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) (*.f64 a 3))
	46.0b	(/.f64 (.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) (+.f64 b b)) 1/3) a)
	44.4b	(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 -3 a))) b) 1/3) a)
	44.2b	(/.f64 (.f64 (.f64 c -3/2) (/.f64 a b)) (*.f64 3 a))
	45.7b	(/.f64 (*.f64 b -2/3) a)
	46.6b	(/.f64 (sqrt.f64 (.f64 b -2)) (/.f64 (.f64 a 3) (sqrt.f64 (*.f64 b -2))))
	45.7b	(/.f64 b (*.f64 a -3/2))
✓	46.0b	(/.f64 1 (/.f64 a (.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) (+.f64 b b)) 1/3)))
	44.4b	(/.f64 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 -3 a))) b) 1/3)))
	45.7b	(/.f64 1 (/.f64 a (*.f64 b -2/3)))
	56.2b	(/.f64 1 (/.f64 a (.f64 1/2 (.f64 a (/.f64 c b)))))
	37.9b	(/.f64 -1/2 (/.f64 b c))
	45.7b	(/.f64 -2/3 (/.f64 a b))
	45.7b	(/.f64 -2 (/.f64 (*.f64 a 3) b))
✓	48.9b	(-.f64 (+.f64 1 (*.f64 b (/.f64 -2/3 a))) 1)
	48.9b	(+.f64 (fma.f64 b (/.f64 -2/3 a) -1) 1)
	45.9b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
	48.3b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c))) b)) 3) (/.f64 1/3 a))
	41.2b	(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (.f64 (.f64 a -3) (/.f64 c b)))) 3) (/.f64 1/3 a))
	45.7b	(*.f64 (/.f64 -2/3 a) b)
✓	44.5b	(.f64 (-.f64 (pow.f64 (pow.f64 (.f64 a (*.f64 c -3)) 1/4) 2) b) (/.f64 1/3 a))
	48.1b	(.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -3))) b) b) (/.f64 1/3 a))
	46.0b	(.f64 (-.f64 (-.f64 (/.f64 (.f64 a 3/2) (/.f64 b c)) b) b) (/.f64 1/3 a))
	52.8b	(.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (*.f64 c -3) 1/4) 2) (sqrt.f64 a)) b) (/.f64 1/3 a))
	52.8b	(.f64 (-.f64 (.f64 (sqrt.f64 (.f64 c -3)) (sqrt.f64 a)) b) (pow.f64 (.f64 a 3) -1))
✓	52.8b	(.f64 (-.f64 (.f64 (sqrt.f64 (*.f64 c -3)) (sqrt.f64 a)) b) (/.f64 1/3 a))
	52.8b	(.f64 (-.f64 (.f64 (sqrt.f64 (.f64 c -3)) (sqrt.f64 a)) b) (.f64 (/.f64 1 a) 1/3))
	55.8b	(.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 (*.f64 c -3) 3/2)) (sqrt.f64 a)) b) (/.f64 1/3 a))
	44.4b	(.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 c -3))) b) (/.f64 1/3 a))
	50.0b	(.f64 (-.f64 (cbrt.f64 (pow.f64 (.f64 c (*.f64 -3 a)) 3/2)) b) (/.f64 1/3 a))
	52.1b	(.f64 (+.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 1/3 a))
	41.0b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
	45.7b	(.f64 (.f64 b -2) (/.f64 (/.f64 1 a) 3))
✓	45.7b	(.f64 (.f64 b -2) (/.f64 1 (*.f64 a 3)))
	52.2b	(.f64 (.f64 b -2) (-.f64 (+.f64 1 (/.f64 1/3 a)) 1))
	55.2b	(.f64 (.f64 b -2) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))
	54.7b	(.f64 (.f64 b -2) (exp.f64 (log.f64 (/.f64 1/3 a))))
	42.8b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
	56.1b	(*.f64 c (/.f64 1/2 b))
	37.7b	(*.f64 c (/.f64 -1/2 b))
	56.1b	(*.f64 1/2 (/.f64 c b))
✓	55.6b	(*.f64 0 (/.f64 1/3 a))
✓	37.6b	(*.f64 -1/2 (/.f64 c b))
✓	45.7b	(*.f64 -2/3 (/.f64 b a))
	45.7b	(.f64 -2/3 (.f64 (/.f64 1 a) b))
	58.6b	(sqrt.f64 (pow.f64 (*.f64 b (/.f64 -2/3 a)) 2))
	54.8b	(exp.f64 (log.f64 (*.f64 (/.f64 b a) -2/3)))
	50.3b	(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b))))

Compiler

Compiled 731 to 556 computations (23.9% saved)

regimes3.1s (11.8%)

Counts

98 → 3

Calls

Call 1

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

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

Calls

6 calls:

1.0s	(*.f64 3 a)
804.0ms	(*.f64 3 a)
545.0ms	a
319.0ms	c
248.0ms	b

Results

Error	Segments	Branch
20.7b	9	`a`
7.1b	3	`b`
25.8b	7	`c`
13.1b	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
20.7b	9	`(*.f64 3 a)`
20.7b	9	`(*.f64 3 a)`

Compiler

Compiled 1225 to 792 computations (35.3% saved)

bsearch441.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
243.0ms	3.0247755936581382e-83	1.7090534416874375e-81
196.0ms	-6.119024853745885e+158	-3.752883981181438e+151

Compiler

Compiled 506 to 371 computations (26.7% saved)

regimes2.1s (8%)

Counts

51 → 3

Calls

Call 1

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

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

Calls

5 calls:

580.0ms	(*.f64 3 a)
529.0ms	a
492.0ms	(*.f64 3 a)
346.0ms	c
125.0ms	b

Results

Error	Segments	Branch
26.4b	14	`a`
9.5b	3	`b`
28.1b	12	`c`
26.4b	14	`(*.f64 3 a)`
26.4b	14	`(*.f64 3 a)`

Compiler

Compiled 503 to 317 computations (37% saved)

bsearch231.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
103.0ms	3.0247755936581382e-83	1.7090534416874375e-81
128.0ms	-9.260786716892332e-49	-2.8822605729466205e-51

Compiler

Compiled 449 to 336 computations (25.2% saved)

regimes2.1s (7.9%)

Counts

47 → 3

Calls

Call 1

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

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

Calls

5 calls:

613.0ms	a
552.0ms	c
500.0ms	(*.f64 3 a)
304.0ms	(*.f64 3 a)
82.0ms	b

Results

Error	Segments	Branch
26.4b	14	`a`
9.5b	3	`b`
28.1b	12	`c`
26.4b	14	`(*.f64 3 a)`
26.4b	14	`(*.f64 3 a)`

Compiler

Compiled 449 to 285 computations (36.5% saved)

bsearch291.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
153.0ms	3.0247755936581382e-83	1.7090534416874375e-81
137.0ms	-9.260786716892332e-49	-2.8822605729466205e-51

Compiler

Compiled 449 to 336 computations (25.2% saved)

regimes1.8s (6.9%)

Counts

46 → 3

Calls

Call 1

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

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

Calls

5 calls:

499.0ms	(*.f64 3 a)
495.0ms	(*.f64 3 a)
408.0ms	c
331.0ms	a
72.0ms	b

Results

Error	Segments	Branch
26.4b	14	`a`
9.5b	3	`b`
27.1b	14	`c`
26.4b	14	`(*.f64 3 a)`
26.4b	14	`(*.f64 3 a)`

Compiler

Compiled 437 to 277 computations (36.6% saved)

bsearch149.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
67.0ms	3.0247755936581382e-83	1.7090534416874375e-81
82.0ms	-9.260786716892332e-49	-2.8822605729466205e-51

Compiler

Compiled 449 to 336 computations (25.2% saved)

regimes2.3s (8.6%)

Counts

43 → 3

Calls

Call 1

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

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

Calls

5 calls:

843.0ms	(*.f64 3 a)
524.0ms	a
402.0ms	c
351.0ms	(*.f64 3 a)
127.0ms	b

Results

Error	Segments	Branch
26.4b	14	`a`
9.5b	3	`b`
28.1b	12	`c`
26.4b	14	`(*.f64 3 a)`
26.4b	14	`(*.f64 3 a)`

Compiler

Compiled 401 to 253 computations (36.9% saved)

bsearch216.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
118.0ms	3.0247755936581382e-83	1.7090534416874375e-81
98.0ms	-9.260786716892332e-49	-2.8822605729466205e-51

Compiler

Compiled 449 to 336 computations (25.2% saved)

regimes995.0ms (3.8%)

Counts

42 → 2

Calls

Call 1

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

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

Calls

5 calls:

263.0ms	(*.f64 3 a)
217.0ms	(*.f64 3 a)
216.0ms	a
163.0ms	c
113.0ms	b

Results

Error	Segments	Branch
32.2b	8	`a`
20.8b	2	`b`
32.8b	8	`c`
32.2b	8	`(*.f64 3 a)`
32.2b	8	`(*.f64 3 a)`

Compiler

Compiled 389 to 246 computations (36.8% saved)

bsearch46.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
45.0ms	1.659232873626479e-234	3.0847991682793653e-229

Compiler

Compiled 206 to 163 computations (20.9% saved)

regimes592.0ms (2.2%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

5 calls:

192.0ms	a
139.0ms	(*.f64 3 a)
106.0ms	(*.f64 3 a)
73.0ms	c
23.0ms	b

Results

Error	Segments	Branch
32.2b	8	`a`
20.8b	2	`b`
32.8b	8	`c`
32.2b	8	`(*.f64 3 a)`
32.2b	8	`(*.f64 3 a)`

Compiler

Compiled 141 to 94 computations (33.3% saved)

bsearch93.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
92.0ms	1.659232873626479e-234	3.0847991682793653e-229

Compiler

Compiled 188 to 145 computations (22.9% saved)

regimes106.0ms (0.4%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

3 calls:

61.0ms	c
24.0ms	a
15.0ms	b

Results

Error	Segments	Branch
34.2b	4	`a`
20.8b	2	`b`
32.8b	8	`c`

Compiler

Compiled 65 to 41 computations (36.9% saved)

bsearch48.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
48.0ms	1.659232873626479e-234	3.0847991682793653e-229

Compiler

Compiled 188 to 145 computations (22.9% saved)

regimes364.0ms (1.4%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

200.0ms	a
136.0ms	c
24.0ms	b

Results

Error	Segments	Branch
34.2b	4	`a`
20.8b	2	`b`
32.8b	8	`c`

Compiler

Compiled 55 to 35 computations (36.4% saved)

bsearch79.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
78.0ms	1.659232873626479e-234	3.0847991682793653e-229

Compiler

Compiled 188 to 145 computations (22.9% saved)

regimes109.0ms (0.4%)

Accuracy

Total -42.2b remaining (-202.9%)

Threshold costs -42.2b (-202.9%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

48.0ms	b
40.0ms	c
18.0ms	a

Results

Error	Segments	Branch
34.2b	4	`a`
20.8b	2	`b`
32.8b	8	`c`

Compiler

Compiled 50 to 32 computations (36% saved)

bsearch75.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
75.0ms	1.659232873626479e-234	3.0847991682793653e-229

Compiler

Compiled 188 to 145 computations (22.9% saved)

simplify26.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
11×	`+-commutative_binary64`
9×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	78	374
1	109	372
2	130	372
3	139	372
4	145	372
5	147	372

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b -38000000000000000362010740996030570265764272365158915667926303816832894685975084924058266377513288763869254360760036547885329637985186250334770636521472) (/.f64 b (.f64 a -3/2)) (if (<=.f64 b 8338893388235233/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a)) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -4886490333421053/1684996666696914987166688442938726917102321526408785780068975640576) (+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 8338893388235233/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) (.f64 a 3)) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -4886490333421053/1684996666696914987166688442938726917102321526408785780068975640576) (+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 8338893388235233/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) 1/3) a) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -4886490333421053/1684996666696914987166688442938726917102321526408785780068975640576) (+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 8338893388235233/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) (/.f64 1/3 a)) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -4886490333421053/1684996666696914987166688442938726917102321526408785780068975640576) (+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 8338893388235233/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (/.f64 1/3 a)) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b 6085767082675929/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912) (/.f64 (/.f64 (.f64 b -2) 3) a) (.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 6085767082675929/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912) (/.f64 b (.f64 a -3/2)) (.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 6085767082675929/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912) (/.f64 -2/3 (/.f64 a b)) (*.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 6085767082675929/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912) (.f64 (/.f64 -2/3 a) b) (.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 6085767082675929/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912) (.f64 -2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(*.f64 -2/3 (/.f64 b a))

Outputs
(if (<=.f64 b -38000000000000000362010740996030570265764272365158915667926303816832894685975084924058266377513288763869254360760036547885329637985186250334770636521472) (/.f64 b (.f64 a -3/2)) (if (<=.f64 b 8338893388235233/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a)) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -38000000000000000362010740996030570265764272365158915667926303816832894685975084924058266377513288763869254360760036547885329637985186250334770636521472) (/.f64 b (.f64 a -3/2)) (if (<=.f64 b 8338893388235233/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a 3) c)))) (.f64 a 3)) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -38000000000000000362010740996030570265764272365158915667926303816832894685975084924058266377513288763869254360760036547885329637985186250334770636521472) (/.f64 b (.f64 a -3/2)) (if (<=.f64 b 8338893388235233/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (.f64 a 3)) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -4886490333421053/1684996666696914987166688442938726917102321526408785780068975640576) (+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 8338893388235233/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) (.f64 a 3)) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -4886490333421053/1684996666696914987166688442938726917102321526408785780068975640576) (+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 (/.f64 c b) 1/2)) (if (<=.f64 b 8338893388235233/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 a 3)) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -4886490333421053/1684996666696914987166688442938726917102321526408785780068975640576) (+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 8338893388235233/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 -3 a))) b) 1/3) a) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -4886490333421053/1684996666696914987166688442938726917102321526408785780068975640576) (+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 (/.f64 c b) 1/2)) (if (<=.f64 b 8338893388235233/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) 1/3) a) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -4886490333421053/1684996666696914987166688442938726917102321526408785780068975640576) (+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 8338893388235233/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) (/.f64 1/3 a)) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -4886490333421053/1684996666696914987166688442938726917102321526408785780068975640576) (+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 (/.f64 c b) 1/2)) (if (<=.f64 b 8338893388235233/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) (/.f64 1/3 a)) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -4886490333421053/1684996666696914987166688442938726917102321526408785780068975640576) (+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 8338893388235233/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (/.f64 1/3 a)) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -4886490333421053/1684996666696914987166688442938726917102321526408785780068975640576) (+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 (/.f64 c b) 1/2)) (if (<=.f64 b 8338893388235233/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (.f64 (/.f64 1/3 a) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b 6085767082675929/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912) (/.f64 (/.f64 (.f64 b -2) 3) a) (.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 6085767082675929/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912) (/.f64 b (.f64 a -3/2)) (.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 6085767082675929/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912) (/.f64 -2/3 (/.f64 a b)) (*.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 6085767082675929/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912) (.f64 (/.f64 -2/3 a) b) (.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 6085767082675929/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912) (.f64 b (/.f64 -2/3 a)) (.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 6085767082675929/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912) (.f64 -2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(*.f64 -2/3 (/.f64 b a))

Compiler

Compiled 288 to 197 computations (31.6% saved)

soundness612.0ms (2.3%)

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	7843	1799

Stop Event

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

Compiler

Compiled 803 to 581 computations (27.6% saved)

end119.0ms (0.5%)

Compiler: Compiled 258 to 153 computations (40.7% saved)