Details

analyze447.0ms (2.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	93.6%	6.4%	7
6.2%	87.4%	6.4%	8
10.1%	81.1%	8.7%	9
15.6%	71%	13.4%	10
22%	63%	15%	11
29.1%	52.9%	18.1%	12

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.8s (13.2%)

Results

1.1s	5569×	body	256	valid
582.0ms	1097×	body	2048	valid
349.0ms	493×	body	4096	valid
320.0ms	1612×	body	256	invalid
289.0ms	738×	body	1024	valid
99.0ms	359×	body	512	valid

preprocess94.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify123.0ms (0.6%)

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

35.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
▶	35.2b	(.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)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1/3 a)
✓	1.1b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)
✓	1.3b	(fma.f64 b b (.f64 c (.f64 a -3)))
✓	23.7b	(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
3.0ms	a	@	inf	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)
2.0ms	b	@	0	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))
1.0ms	a	@	0	(/.f64 1/3 a)
1.0ms	a	@	inf	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))
1.0ms	c	@	inf	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))

rewrite95.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 187

Calls

Call 1

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

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

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

263 → 240

Calls

Call 1

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

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

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
✓	1.0b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
✓	1.1b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
✓	23.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 69 to 35 computations (49.3% saved)

series22.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

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

rewrite144.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 333

Calls

Call 1

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

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

simplify101.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	2478
1	581	2399
2	2100	2321
3	7372	2321

Stop Event

1×	node limit

Counts

429 → 413

Calls

Call 1

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

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

eval400.0ms (1.9%)

Compiler: Compiled 17828 to 11264 computations (36.8% saved)

prune177.0ms (0.8%)

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	621	32	653
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	622	33	655

Error

4.7b

Counts

655 → 33

Alt Table

Click to see full alt table

Status	Error	Program
✓	35.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	48.6b	(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
	35.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -3) (*.f64 b b))) b) (/.f64 1/3 a))
	46.5b	(.f64 (/.f64 (-.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (/.f64 1/3 a))
	46.0b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	57.2b	(*.f64 (-.f64 b b) (/.f64 1/3 a))
▶	42.3b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
	46.1b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
	47.7b	(.f64 (/.f64 1 a) (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 1/3))
	42.1b	(*.f64 (/.f64 -2/3 a) b)
	50.5b	(.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) (/.f64 -9/8 (/.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) c))) (/.f64 1/3 a))
	42.1b	(/.f64 (.f64 b -2) (.f64 3 a))
▶	42.1b	(*.f64 -2/3 (/.f64 b a))
	35.1b	(.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))) b))) (/.f64 1/3 a))
	35.6b	(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/4) 2) b) (/.f64 1/3 a))
	45.1b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
	47.7b	(pow.f64 (.f64 3 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))))) -1)
	47.0b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
	47.7b	(.f64 1/3 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) a))
	42.4b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
	43.5b	(/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 (.f64 c a) (/.f64 b 3/2)) b)) (.f64 3 a))
	35.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (/.f64 1 a) 1/3))
▶	33.4b	(.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))) b)) 2) (/.f64 1/3 a))
▶	35.2b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
	47.7b	(.f64 (/.f64 1/3 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))))
▶	37.5b	(.f64 (-.f64 (exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 a -3) (.f64 b b))) 1/2)) b) (/.f64 1/3 a))
	37.9b	(.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))))) b) (/.f64 1/3 a))
	41.0b	(/.f64 -1/2 (/.f64 b c))
	45.0b	(/.f64 (.f64 -3/2 (.f64 a (/.f64 c b))) (*.f64 3 a))
	41.0b	(*.f64 -1/2 (/.f64 c b))
	57.0b	(.f64 (-.f64 (+.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) b) b) (/.f64 1/3 a))
	46.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
	53.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))

Compiler

Compiled 1090 to 772 computations (29.2% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)) 2)
	0.4b	(/.f64 1/3 a)
✓	0.7b	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)
✓	12.8b	(sqrt.f64 (.f64 c (.f64 a -3)))

Compiler

Compiled 85 to 56 computations (34.1% saved)

series71.0ms (0.3%)

Counts

3 → 16

Calls

24 calls:

Time	Variable		Point	Expression
8.0ms	b	@	inf	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)) 2)
8.0ms	c	@	-inf	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)) 2)
7.0ms	c	@	inf	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)) 2)
5.0ms	c	@	0	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)
5.0ms	a	@	-inf	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)) 2)

rewrite117.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	278	39
2	3134	39

Stop Event

1×	node limit

Counts

3 → 246

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

Outputs

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

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

simplify85.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

808×	`associate-l_binary64`
577×	`times-frac_binary64`
513×	`unswap-sqr_binary64`
466×	`associate-/l*_binary64`
372×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	710
1	332	600
2	1238	571
3	6643	555

Stop Event

1×	node limit

Counts

262 → 170

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

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

localize10.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series7.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize23.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 16 computations (54.3% saved)

series18.0ms (0.1%)

Counts

1 → 9

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	b	@	inf	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
1.0ms	c	@	0	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
1.0ms	b	@	0	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
1.0ms	c	@	inf	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
1.0ms	a	@	0	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))

rewrite86.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	246	14
2	3423	14

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

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

Outputs

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

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

79 → 73

Calls

Call 1

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

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

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1/3 a)
✓	1.0b	(+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))
✓	1.1b	(-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))) b)
✓	23.7b	(sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b)))

Compiler

Compiled 69 to 37 computations (46.4% saved)

series9.0ms (0%)

Counts

3 → 76

Calls

27 calls:

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

rewrite93.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 194

Calls

Call 1

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

Outputs

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

simplify458.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

712×	`times-frac_binary64`
661×	`associate-r_binary64`
622×	`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	1358	1631
3	7799	1631

Stop Event

1×	node limit

Counts

270 → 246

Calls

Call 1

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

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

localize82.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1/3 a)
✓	5.4b	(exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 a -3) (*.f64 b b))) 1/2))
✓	20.8b	(-.f64 (exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 a -3) (*.f64 b b))) 1/2)) b)
✓	24.5b	(log.f64 (fma.f64 c (.f64 a -3) (.f64 b b)))

Compiler

Compiled 90 to 50 computations (44.4% saved)

series28.0ms (0.1%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	b	@	0	(log.f64 (fma.f64 c (.f64 a -3) (.f64 b b)))
2.0ms	b	@	inf	(log.f64 (fma.f64 c (.f64 a -3) (.f64 b b)))
2.0ms	c	@	0	(log.f64 (fma.f64 c (.f64 a -3) (.f64 b b)))
1.0ms	a	@	-inf	(log.f64 (fma.f64 c (.f64 a -3) (.f64 b b)))
1.0ms	c	@	inf	(log.f64 (fma.f64 c (.f64 a -3) (.f64 b b)))

rewrite141.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

683×	`prod-diff_binary64`
583×	`log-prod_binary64`
339×	`fma-def_binary64`
330×	`pow2_binary64`
227×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	266	42
2	3285	40

Stop Event

1×	node limit

Counts

3 → 208

Calls

Call 1

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

Outputs

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

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

simplify119.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

761×	`associate-r_binary64`
690×	`associate-l_binary64`
676×	`associate-/l*_binary64`
625×	`associate-/r*_binary64`
359×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	2636
1	697	2533
2	2372	2494

Stop Event

1×	node limit

Counts

284 → 306

Calls

Call 1

Inputs
(log.f64 (pow.f64 b 2))
(+.f64 (log.f64 (pow.f64 b 2)) (.f64 -3 (/.f64 (.f64 c a) (pow.f64 b 2))))
(+.f64 (.f64 -9/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (+.f64 (log.f64 (pow.f64 b 2)) (.f64 -3 (/.f64 (.f64 c a) (pow.f64 b 2)))))
(+.f64 (.f64 -9/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (+.f64 (log.f64 (pow.f64 b 2)) (+.f64 (.f64 -3 (/.f64 (.f64 c a) (pow.f64 b 2))) (.f64 -9 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 6))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a)))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 b 2) (.f64 c a))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 b 2) (.f64 c a))) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a)))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 b 2) (.f64 c a))) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (+.f64 (log.f64 (.f64 -3 a)) (.f64 -1/81 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (.f64 3 a)))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 b 2) (.f64 c a))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (.f64 3 a))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 b 2) (.f64 c a))) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (.f64 3 a)))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 b 2) (.f64 c a))) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (+.f64 (log.f64 (.f64 3 a)) (.f64 -1/81 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))))))))
(log.f64 (pow.f64 b 2))
(+.f64 (log.f64 (pow.f64 b 2)) (.f64 -3 (/.f64 (.f64 c a) (pow.f64 b 2))))
(+.f64 (.f64 -9/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (+.f64 (log.f64 (pow.f64 b 2)) (.f64 -3 (/.f64 (.f64 c a) (pow.f64 b 2)))))
(+.f64 (.f64 -9/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (+.f64 (log.f64 (pow.f64 b 2)) (+.f64 (.f64 -3 (/.f64 (.f64 c a) (pow.f64 b 2))) (.f64 -9 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 6))))))
(+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 b 2) (.f64 c a))) (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 b 2) (.f64 c a))) (+.f64 (log.f64 (.f64 -3 c)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (.f64 -1/18 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 b 2) (.f64 c a))) (+.f64 (log.f64 (.f64 -3 c)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 -1/81 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))))))))
(+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 b 2) (.f64 c a))) (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 b 2) (.f64 c a))) (+.f64 (log.f64 (.f64 3 c)) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 b 2) (.f64 c a))) (+.f64 (log.f64 (.f64 3 c)) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (.f64 -1/81 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))))))))
(log.f64 (.f64 -3 (.f64 c a)))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 b 2) (.f64 c a))) (log.f64 (.f64 -3 (.f64 c a))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 b 2) (.f64 c a))) (+.f64 (log.f64 (.f64 -3 (.f64 c a))) (.f64 -1/18 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 b 2) (.f64 c a))) (+.f64 (log.f64 (.f64 -3 (.f64 c a))) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 -1/81 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))))))
(*.f64 -2 (log.f64 (/.f64 1 b)))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 b))) (.f64 -3 (/.f64 (*.f64 c a) (pow.f64 b 2))))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 b))) (+.f64 (.f64 -9/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (.f64 -3 (/.f64 (*.f64 c a) (pow.f64 b 2)))))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 b))) (+.f64 (.f64 -9/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (+.f64 (.f64 -3 (/.f64 (.f64 c a) (pow.f64 b 2))) (.f64 -9 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 6))))))
(*.f64 -2 (log.f64 (/.f64 -1 b)))
(+.f64 (.f64 -2 (log.f64 (/.f64 -1 b))) (.f64 -3 (/.f64 (*.f64 c a) (pow.f64 b 2))))
(+.f64 (.f64 -9/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 b))) (.f64 -3 (/.f64 (*.f64 c a) (pow.f64 b 2)))))
(+.f64 (.f64 -9/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 -3 (/.f64 (.f64 c a) (pow.f64 b 2))) (.f64 -9 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 6))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -2 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b)))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b))))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(*.f64 -1 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))

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

eval657.0ms (3.1%)

Compiler: Compiled 23715 to 14943 computations (37% saved)

prune204.0ms (1%)

Pruning

44 alts after pruning (40 fresh and 4 done)

	Pruned	Kept	Total
New	891	22	913
Fresh	9	18	27
Picked	1	0	1
Done	1	4	5
Total	902	44	946

Error

0.4b

Counts

946 → 44

Alt Table

Click to see full alt table

Status	Error	Program
✓	35.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	35.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a -3) c (*.f64 b b))) b) (/.f64 1/3 a))
	49.4b	(.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c))) b)) 2) (/.f64 1/3 a))
	59.4b	(pow.f64 (pow.f64 (*.f64 -2/3 (/.f64 b a)) 3) 1/3)
	52.2b	(.f64 (-.f64 (exp.f64 (.f64 (-.f64 (log.f64 (*.f64 a 3)) (log.f64 (/.f64 -1 c))) 1/2)) b) (/.f64 1/3 a))
	46.0b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	57.2b	(*.f64 (-.f64 b b) (/.f64 1/3 a))
✓	42.3b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
	46.1b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
	52.9b	(exp.f64 (log.f64 (*.f64 -2/3 (/.f64 b a))))
	42.4b	(/.f64 (/.f64 (*.f64 -2/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	47.7b	(.f64 (/.f64 1 a) (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 1/3))
	49.4b	(.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -3))) b) b) (/.f64 1/3 a))
	42.1b	(*.f64 (/.f64 -2/3 a) b)
	50.5b	(.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) (/.f64 -9/8 (/.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) c))) (/.f64 1/3 a))
	43.0b	(.f64 (pow.f64 (sqrt.f64 (.f64 b -2)) 2) (/.f64 1/3 a))
	42.1b	(/.f64 (.f64 b -2) (.f64 3 a))
	57.0b	(.f64 (-.f64 (+.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) b) b) (/.f64 1/3 a))
✓	42.1b	(*.f64 -2/3 (/.f64 b a))
▶	45.1b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
	42.1b	(/.f64 (*.f64 -2/3 b) a)
	47.7b	(pow.f64 (.f64 3 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))))) -1)
	44.3b	(.f64 (-.f64 (exp.f64 (.f64 (*.f64 -2 (log.f64 (/.f64 -1 b))) 1/2)) b) (/.f64 1/3 a))
	47.0b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
▶	59.7b	(pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b))) 3) 1/3)
	47.7b	(.f64 1/3 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) a))
	42.4b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
	43.5b	(/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 (.f64 c a) (/.f64 b 3/2)) b)) (.f64 3 a))
	46.5b	(.f64 (/.f64 (-.f64 (fma.f64 (.f64 c a) -3 (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (/.f64 1/3 a))
	57.4b	(*.f64 1/2 (/.f64 c b))
	42.1b	(/.f64 -2/3 (/.f64 a b))
✓	35.2b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
	45.9b	(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
▶	35.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c -3) a (*.f64 b b))) b) (/.f64 1/3 a))
	46.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
	35.6b	(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 c a) -3 (*.f64 b b)) 1/4) 2) b) (/.f64 1/3 a))
	47.7b	(.f64 (/.f64 1/3 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))))
	52.2b	(.f64 (-.f64 (exp.f64 (.f64 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))) 1/2)) b) (/.f64 1/3 a))
	35.3b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (*.f64 (/.f64 1 a) 1/3))
	41.0b	(/.f64 -1/2 (/.f64 b c))
	45.0b	(/.f64 (.f64 -3/2 (.f64 a (/.f64 c b))) (*.f64 3 a))
▶	41.0b	(*.f64 -1/2 (/.f64 c b))
	53.1b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
▶	55.7b	(sqrt.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9))

Compiler

Compiled 1321 to 965 computations (26.9% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c -3) a (*.f64 b b))) b) (/.f64 1/3 a))
	0.4b	(/.f64 1/3 a)
✓	1.1b	(-.f64 (sqrt.f64 (fma.f64 (.f64 c -3) a (.f64 b b))) b)
✓	23.7b	(sqrt.f64 (fma.f64 (.f64 c -3) a (.f64 b b)))

Compiler

Compiled 60 to 30 computations (50% saved)

series12.0ms (0.1%)

Counts

3 → 60

Calls

27 calls:

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

rewrite93.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`prod-diff_binary64`
636×	`log-prod_binary64`
366×	`fma-def_binary64`
245×	`expm1-udef_binary64`
245×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	281	51
2	3667	48

Stop Event

1×	node limit

Counts

3 → 185

Calls

Call 1

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

Outputs

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simplify85.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	2076
1	575	2051
2	2069	1973
3	7311	1973

Stop Event

1×	node limit

Counts

245 → 260

Calls

Call 1

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

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

localize5.0ms (0%)

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1/3 a)
✓	6.2b	(.f64 (/.f64 c b) (.f64 a -3/2))
✓	9.1b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))

Compiler

Compiled 35 to 19 computations (45.7% saved)

series9.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite67.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

Outputs

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

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

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

144 → 75

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (pow.f64 (/.f64 b a) 2) 4/9)
✓	0.3b	(pow.f64 (/.f64 b a) 2)
✓	20.0b	(sqrt.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9))

Compiler

Compiled 30 to 17 computations (43.3% saved)

series9.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

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

Outputs

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

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

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

simplify137.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

142 → 77

Calls

Call 1

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

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

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b)))
✓	0.2b	(pow.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b))) 3)
✓	0.4b	(/.f64 -2/3 (/.f64 a b))
✓	33.7b	(pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b))) 3) 1/3)

Compiler

Compiled 57 to 29 computations (49.1% saved)

series47.0ms (0.2%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
8.0ms	a	@	0	(pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b))) 3) 1/3)
5.0ms	b	@	0	(pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b))) 3) 1/3)
4.0ms	b	@	inf	(pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b))) 3) 1/3)
4.0ms	c	@	0	(pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b))) 3) 1/3)
3.0ms	b	@	-inf	(pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b))) 3) 1/3)

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

618×	`log-prod_binary64`
343×	`pow2_binary64`
334×	`pow-prod-down_binary64`
239×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	317	52
2	3565	52

Stop Event

1×	node limit

Counts

4 → 143

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (/.f64 b c)) (.f64 -2/3 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/2 (/.f64 c b) (.f64 -2/3 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1/2 (/.f64 b c)) 1) (.f64 -2/3 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 c b) (.f64 -2/3 (/.f64 b a))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 c b) (.f64 -2/3 (/.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 c b) (.f64 -2/3 (/.f64 b a)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 c b) (.f64 -2/3 (/.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (/.f64 c b) (.f64 -2/3 (/.f64 b a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/2 (/.f64 c b) (.f64 -2/3 (/.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 1/2 (/.f64 c b) (.f64 -2/3 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b) (.f64 -2/3 (/.f64 b a)))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b) (.f64 -2/3 (/.f64 b a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b) (.f64 -2/3 (/.f64 b a))) 2)) (cbrt.f64 (fma.f64 1/2 (/.f64 c b) (.f64 -2/3 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 1/2 (/.f64 c b) (.f64 -2/3 (/.f64 b a)))) (sqrt.f64 (fma.f64 1/2 (/.f64 c b) (.f64 -2/3 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (fma.f64 1/2 (/.f64 c b) (.f64 -2/3 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 1/2 (/.f64 b c)) 3) (pow.f64 (.f64 -2/3 (/.f64 b a)) 3)) (+.f64 (pow.f64 (/.f64 1/2 (/.f64 b c)) 2) (-.f64 (.f64 4/9 (pow.f64 (/.f64 b a) 2)) (.f64 (/.f64 1/2 (/.f64 b c)) (.f64 -2/3 (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 1/2 (/.f64 b c)) 2) (.f64 4/9 (pow.f64 (/.f64 b a) 2))) (-.f64 (/.f64 1/2 (/.f64 b c)) (.f64 -2/3 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b) (.f64 -2/3 (/.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 (/.f64 c b) (.f64 -2/3 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (/.f64 c b) (.f64 -2/3 (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 -2/3) (/.f64 b a)) (exp.f64 (/.f64 1/2 (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -2/3 (/.f64 b a)))) (exp.f64 (/.f64 1/2 (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (/.f64 1/2 (/.f64 b c))) (+.f64 1 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simplify99.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

552×	`associate-r_binary64`
550×	`times-frac_binary64`
491×	`associate-/r*_binary64`
457×	`fma-def_binary64`
414×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	492	5105
1	1784	4922

Stop Event

1×	node limit

Counts

275 → 227

Calls

Call 1

Inputs
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(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -8/27 (/.f64 (pow.f64 b 3) (pow.f64 a 3)))
(+.f64 (.f64 -8/27 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 (+.f64 (.f64 4/9 (/.f64 b (pow.f64 a 2))) (.f64 2/9 (/.f64 b (pow.f64 a 2)))) c))
(+.f64 (.f64 -8/27 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 (+.f64 (.f64 4/9 (/.f64 b (pow.f64 a 2))) (.f64 2/9 (/.f64 b (pow.f64 a 2)))) c) (.f64 -1/2 (/.f64 (pow.f64 c 2) (.f64 a b)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -8/27 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 (+.f64 (.f64 4/9 (/.f64 b (pow.f64 a 2))) (.f64 2/9 (/.f64 b (pow.f64 a 2)))) c) (.f64 -1/2 (/.f64 (pow.f64 c 2) (*.f64 a b))))))
(*.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (pow.f64 c 2) (*.f64 a b))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 (+.f64 (.f64 4/9 (/.f64 b (pow.f64 a 2))) (.f64 2/9 (/.f64 b (pow.f64 a 2)))) c)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -8/27 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 (+.f64 (.f64 4/9 (/.f64 b (pow.f64 a 2))) (*.f64 2/9 (/.f64 b (pow.f64 a 2)))) c))))
(*.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (pow.f64 c 2) (*.f64 a b))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 -1 (.f64 c (+.f64 (.f64 -2/9 (/.f64 b (pow.f64 a 2))) (*.f64 -4/9 (/.f64 b (pow.f64 a 2))))))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -8/27 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 -1 (.f64 c (+.f64 (.f64 -2/9 (/.f64 b (pow.f64 a 2))) (.f64 -4/9 (/.f64 b (pow.f64 a 2)))))))))
(*.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 -1/6 (/.f64 (pow.f64 c 2) (*.f64 a b)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 c 2) (.f64 a b))) (+.f64 (.f64 (+.f64 (.f64 2/9 (/.f64 c (pow.f64 a 2))) (.f64 4/9 (/.f64 c (pow.f64 a 2)))) b) (.f64 -1/6 (/.f64 (pow.f64 c 2) (.f64 a b))))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -8/27 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 c 2) (.f64 a b))) (+.f64 (.f64 (+.f64 (.f64 2/9 (/.f64 c (pow.f64 a 2))) (.f64 4/9 (/.f64 c (pow.f64 a 2)))) b) (.f64 -1/6 (/.f64 (pow.f64 c 2) (*.f64 a b)))))))
(*.f64 -8/27 (/.f64 (pow.f64 b 3) (pow.f64 a 3)))
(+.f64 (.f64 -8/27 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 (+.f64 (.f64 4/9 (/.f64 c (pow.f64 a 2))) (.f64 2/9 (/.f64 c (pow.f64 a 2)))) b))
(+.f64 (.f64 -8/27 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 c 2) (.f64 a b))) (+.f64 (.f64 (+.f64 (.f64 4/9 (/.f64 c (pow.f64 a 2))) (.f64 2/9 (/.f64 c (pow.f64 a 2)))) b) (.f64 -1/6 (/.f64 (pow.f64 c 2) (.f64 a b))))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -8/27 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 c 2) (.f64 a b))) (+.f64 (.f64 (+.f64 (.f64 4/9 (/.f64 c (pow.f64 a 2))) (.f64 2/9 (/.f64 c (pow.f64 a 2)))) b) (.f64 -1/6 (/.f64 (pow.f64 c 2) (*.f64 a b)))))))
(*.f64 -8/27 (/.f64 (pow.f64 b 3) (pow.f64 a 3)))
(+.f64 (.f64 -8/27 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 -1 (.f64 b (+.f64 (.f64 -4/9 (/.f64 c (pow.f64 a 2))) (*.f64 -2/9 (/.f64 c (pow.f64 a 2)))))))
(+.f64 (.f64 -8/27 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (/.f64 (pow.f64 c 2) a)) (.f64 1/6 (/.f64 (pow.f64 c 2) a))) b)) (.f64 -1 (.f64 b (+.f64 (.f64 -4/9 (/.f64 c (pow.f64 a 2))) (.f64 -2/9 (/.f64 c (pow.f64 a 2))))))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -8/27 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (/.f64 (pow.f64 c 2) a)) (.f64 1/6 (/.f64 (pow.f64 c 2) a))) b)) (.f64 -1 (.f64 b (+.f64 (.f64 -4/9 (/.f64 c (pow.f64 a 2))) (*.f64 -2/9 (/.f64 c (pow.f64 a 2)))))))))
(*.f64 -8/27 (/.f64 (pow.f64 b 3) (pow.f64 a 3)))
(+.f64 (.f64 -8/27 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 2/9 (/.f64 (.f64 c b) (pow.f64 a 2))) (.f64 4/9 (/.f64 (*.f64 c b) (pow.f64 a 2)))))
(+.f64 (.f64 -8/27 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 4/9 (/.f64 (.f64 c b) (pow.f64 a 2))) (+.f64 (.f64 2/9 (/.f64 (.f64 c b) (pow.f64 a 2))) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 -1/6 (/.f64 (pow.f64 c 2) (*.f64 a b)))))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -8/27 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 4/9 (/.f64 (.f64 c b) (pow.f64 a 2))) (+.f64 (.f64 2/9 (/.f64 (.f64 c b) (pow.f64 a 2))) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 -1/6 (/.f64 (pow.f64 c 2) (.f64 a b))))))))
(*.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 -1/6 (/.f64 (pow.f64 c 2) (*.f64 a b)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 2/9 (/.f64 (.f64 c b) (pow.f64 a 2))) (+.f64 (.f64 4/9 (/.f64 (.f64 c b) (pow.f64 a 2))) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 -1/6 (/.f64 (pow.f64 c 2) (*.f64 a b)))))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -8/27 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 4/9 (/.f64 (.f64 c b) (pow.f64 a 2))) (+.f64 (.f64 2/9 (/.f64 (.f64 c b) (pow.f64 a 2))) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 -1/6 (/.f64 (pow.f64 c 2) (.f64 a b))))))))
(*.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (.f64 -1 (/.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 c 2) b)) (.f64 1/3 (/.f64 (pow.f64 c 2) b))) a)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 2/9 (/.f64 (.f64 c b) (pow.f64 a 2))) (+.f64 (.f64 4/9 (/.f64 (.f64 c b) (pow.f64 a 2))) (.f64 -1 (/.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 c 2) b)) (.f64 1/3 (/.f64 (pow.f64 c 2) b))) a)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -8/27 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 4/9 (/.f64 (.f64 c b) (pow.f64 a 2))) (+.f64 (.f64 2/9 (/.f64 (.f64 c b) (pow.f64 a 2))) (.f64 -1 (/.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 c 2) b)) (*.f64 1/3 (/.f64 (pow.f64 c 2) b))) a))))))
(*.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 (*.f64 (cbrt.f64 -8/27) b) a)
(/.f64 (cbrt.f64 -8/27) (/.f64 a b))
(*.f64 (/.f64 (cbrt.f64 -8/27) a) b)
(+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (.f64 4/9 (/.f64 b (pow.f64 a 2))) (.f64 2/9 (/.f64 b (pow.f64 a 2)))) c) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (cbrt.f64 -8/27) 2) (pow.f64 b 2))) 1/3))) (/.f64 (.f64 (cbrt.f64 -8/27) b) a))
(fma.f64 1/3 (.f64 (.f64 (.f64 (/.f64 b (.f64 a a)) 2/3) c) (cbrt.f64 (/.f64 (.f64 a a) (.f64 (pow.f64 (cbrt.f64 -8/27) 2) (*.f64 b b))))) (/.f64 (cbrt.f64 -8/27) (/.f64 a b)))
(fma.f64 1/3 (.f64 (.f64 (/.f64 b (.f64 a a)) 2/3) (.f64 c (cbrt.f64 (.f64 (/.f64 a (.f64 b b)) (/.f64 a (pow.f64 (cbrt.f64 -8/27) 2)))))) (*.f64 (/.f64 (cbrt.f64 -8/27) a) b))
(+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (.f64 4/9 (/.f64 b (pow.f64 a 2))) (.f64 2/9 (/.f64 b (pow.f64 a 2)))) c) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (cbrt.f64 -8/27) 2) (pow.f64 b 2))) 1/3))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/3 (.f64 (pow.f64 (+.f64 (.f64 4/9 (/.f64 b (pow.f64 a 2))) (.f64 2/9 (/.f64 b (pow.f64 a 2)))) 2) (pow.f64 (/.f64 (.f64 1 a) (.f64 (cbrt.f64 -8/27) b)) 1/3))) (.f64 1/2 (/.f64 1 (.f64 a b)))))) (.f64 (pow.f64 (cbrt.f64 -8/27) 2) (pow.f64 b 2)))) (/.f64 (.f64 (cbrt.f64 -8/27) b) a)))
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(fma.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (fma.f64 -8/27 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (fma.f64 (.f64 (/.f64 c (.f64 a a)) b) 2/3 (*.f64 (/.f64 -1/2 b) (/.f64 c (/.f64 a c))))))
(*.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (.f64 -1 (/.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 c 2) b)) (.f64 1/3 (/.f64 (pow.f64 c 2) b))) a)))
(fma.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (neg.f64 (/.f64 (.f64 (/.f64 (.f64 c c) b) 1/2) a)))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (.f64 (/.f64 c (/.f64 a c)) (/.f64 1/2 b)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 2/9 (/.f64 (.f64 c b) (pow.f64 a 2))) (+.f64 (.f64 4/9 (/.f64 (.f64 c b) (pow.f64 a 2))) (.f64 -1 (/.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 c 2) b)) (.f64 1/3 (/.f64 (pow.f64 c 2) b))) a)))))
(fma.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 (/.f64 c (/.f64 (.f64 a a) b)) 2/3) (neg.f64 (/.f64 (.f64 (/.f64 (.f64 c c) b) 1/2) a))))
(fma.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (-.f64 (.f64 (.f64 (/.f64 c (.f64 a a)) b) 2/3) (.f64 (/.f64 c (/.f64 a c)) (/.f64 1/2 b))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 -8/27 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 4/9 (/.f64 (.f64 c b) (pow.f64 a 2))) (+.f64 (.f64 2/9 (/.f64 (.f64 c b) (pow.f64 a 2))) (.f64 -1 (/.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 c 2) b)) (*.f64 1/3 (/.f64 (pow.f64 c 2) b))) a))))))
(fma.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (fma.f64 -8/27 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 (.f64 (/.f64 c (/.f64 (.f64 a a) b)) 2/3) (neg.f64 (/.f64 (.f64 (/.f64 (.f64 c c) b) 1/2) a)))))
(fma.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (fma.f64 -8/27 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (-.f64 (.f64 (.f64 (/.f64 c (.f64 a a)) b) 2/3) (.f64 (/.f64 c (/.f64 a c)) (/.f64 1/2 b)))))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))
(*.f64 1/2 (/.f64 c 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))
(*.f64 1/2 (/.f64 c 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))
(*.f64 1/2 (/.f64 c 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))
(*.f64 1/2 (/.f64 c 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))
(*.f64 1/2 (/.f64 c 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) 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 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))

eval407.0ms (1.9%)

Compiler: Compiled 18621 to 11878 computations (36.2% saved)

prune255.0ms (1.2%)

Pruning

56 alts after pruning (52 fresh and 4 done)

	Pruned	Kept	Total
New	666	25	691
Fresh	8	27	35
Picked	1	0	1
Done	4	4	8
Total	679	56	735

Error

0.2b

Counts

735 → 56

Alt Table

Click to see full alt table

Status	Error	Program
	60.1b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 a))))))
✓	35.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	63.1b	(exp.f64 (log.f64 (*.f64 (/.f64 b a) 2/3)))
▶	35.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a -3) c (*.f64 b b))) b) (/.f64 1/3 a))
	49.4b	(.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c))) b)) 2) (/.f64 1/3 a))
	59.4b	(pow.f64 (pow.f64 (*.f64 -2/3 (/.f64 b a)) 3) 1/3)
▶	42.3b	(+.f64 (/.f64 1/2 (/.f64 b c)) (*.f64 -2/3 (/.f64 b a)))
	46.0b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	57.4b	(/.f64 (*.f64 (neg.f64 c) (cbrt.f64 -1/8)) b)
▶	33.3b	(/.f64 (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 -3 a)))) b) 1/3) a)
	46.1b	(.f64 (/.f64 c (/.f64 b (.f64 a -3/2))) (/.f64 1/3 a))
▶	46.1b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
	52.9b	(exp.f64 (log.f64 (*.f64 -2/3 (/.f64 b a))))
	42.4b	(/.f64 (/.f64 (*.f64 -2/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	47.7b	(.f64 (/.f64 1 a) (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 1/3))
	49.4b	(.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -3))) b) b) (/.f64 1/3 a))
	42.1b	(*.f64 (/.f64 -2/3 a) b)
	50.5b	(.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) (/.f64 -9/8 (/.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) c))) (/.f64 1/3 a))
	43.0b	(.f64 (pow.f64 (sqrt.f64 (.f64 b -2)) 2) (/.f64 1/3 a))
	42.1b	(/.f64 (.f64 b -2) (.f64 3 a))
	62.4b	(*.f64 (/.f64 b a) 2/3)
	57.0b	(.f64 (-.f64 (+.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) b) b) (/.f64 1/3 a))
	59.7b	(pow.f64 (pow.f64 (+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b))) 3) 1/3)
	47.1b	(pow.f64 (cbrt.f64 (/.f64 (.f64 (/.f64 (.f64 c a) b) -1/2) a)) 3)
✓	42.1b	(*.f64 -2/3 (/.f64 b a))
	42.1b	(/.f64 (*.f64 -2/3 b) a)
	44.3b	(.f64 (-.f64 (exp.f64 (.f64 (*.f64 -2 (log.f64 (/.f64 -1 b))) 1/2)) b) (/.f64 1/3 a))
	47.0b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
	63.1b	(pow.f64 (pow.f64 (*.f64 (/.f64 b a) 2/3) 3) 1/3)
	47.7b	(.f64 1/3 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) a))
	42.1b	(/.f64 -2/3 (/.f64 a b))
	58.0b	(sqrt.f64 (.f64 (.f64 b (/.f64 b (*.f64 a a))) 4/9))
	42.4b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
	43.5b	(/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 (.f64 c a) (/.f64 b 3/2)) b)) (.f64 3 a))
	46.5b	(.f64 (/.f64 (-.f64 (fma.f64 (.f64 c a) -3 (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (/.f64 1/3 a))
	55.7b	(sqrt.f64 (.f64 (/.f64 1 (.f64 (/.f64 a b) (/.f64 a b))) 4/9))
✓	35.2b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
	44.8b	(/.f64 (.f64 (/.f64 1/3 a) (.f64 (*.f64 c a) -3/2)) b)
	47.0b	(/.f64 (.f64 (/.f64 (.f64 c a) b) -1/2) a)
	45.0b	(/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) -1/3) (neg.f64 a))
	35.6b	(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 c a) -3 (*.f64 b b)) 1/4) 2) b) (/.f64 1/3 a))
	46.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
	45.9b	(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
	45.1b	(.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (.f64 (/.f64 1 a) 1/3))
▶	57.4b	(*.f64 1/2 (/.f64 c b))
	34.9b	(+.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (/.f64 1/3 a)) (.f64 (neg.f64 b) (/.f64 1/3 a)))
	35.3b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (*.f64 (/.f64 1 a) 1/3))
	41.0b	(/.f64 -1/2 (/.f64 b c))
	57.5b	(sqrt.f64 (.f64 (/.f64 b (.f64 (/.f64 a b) a)) 4/9))
	62.4b	(/.f64 b (/.f64 a 2/3))
✓	41.0b	(*.f64 -1/2 (/.f64 c b))
	45.4b	(.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 (*.f64 c -3)) (sqrt.f64 a)) b) b) (/.f64 1/3 a))
	41.1b	(/.f64 (.f64 c (.f64 a (*.f64 -3/2 (/.f64 1/3 a)))) b)
	36.3b	(fma.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (/.f64 1/3 a) (*.f64 (neg.f64 b) (/.f64 1/3 a)))
	45.5b	(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a))))
	33.3b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 -3 a)))) b) 1/3)))

Compiler

Compiled 1653 to 1203 computations (27.2% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 -3 a)))) b) 1/3)
✓	0.2b	(.f64 c (.f64 -3 a))
✓	0.7b	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) b)
✓	12.8b	(sqrt.f64 (.f64 c (.f64 -3 a)))

Compiler

Compiled 66 to 42 computations (36.4% saved)

series22.0ms (0.1%)

Counts

4 → 48

Calls

30 calls:

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

rewrite188.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`log-prod_binary64`
587×	`prod-diff_binary64`
320×	`pow2_binary64`
236×	`fma-def_binary64`
223×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	255	49
2	3159	49

Stop Event

1×	node limit

Counts

4 → 168

Calls

Call 1

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

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

simplify126.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

779×	`associate-l_binary64`
671×	`times-frac_binary64`
505×	`unswap-sqr_binary64`
499×	`associate-/l*_binary64`
478×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	1272
1	368	1082
2	1295	1015
3	6675	991

Stop Event

1×	node limit

Counts

216 → 217

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 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 1/3 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))) (.f64 -1/3 b))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))) (+.f64 (.f64 -1/3 b) (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3))))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))) (+.f64 (.f64 -1/3 b) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (.f64 -1/24 (.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 1/6 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))
(+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (.f64 1/6 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)))
(+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (.f64 1/6 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))))
(+.f64 (.f64 -1/6 (/.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 1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (.f64 1/6 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)))))
(*.f64 -2/3 b)
(+.f64 (.f64 -1/6 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (.f64 -2/3 b))
(+.f64 (.f64 -1/6 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (.f64 -2/3 b) (.f64 1/24 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (.f64 -2/3 b) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (.f64 -1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))))))

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 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) (neg.f64 b)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 -1 b (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (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 (/.f64 b (sqrt.f64 -3)) b)) (-.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))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (fma.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))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (neg.f64 b))))
(.f64 1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))
(.f64 1/2 (/.f64 (.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b))
(.f64 1/2 (.f64 (/.f64 c b) (*.f64 a -3)))
(/.f64 (.f64 (.f64 c a) -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))))
(fma.f64 1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (.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)))
(+.f64 (/.f64 (.f64 (.f64 c a) -3/2) b) (/.f64 (.f64 (.f64 a a) -9/8) (/.f64 (pow.f64 b 3) (*.f64 c c))))
(+.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 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -3) 6)) (pow.f64 b 5)) (fma.f64 1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (.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))))
(+.f64 (/.f64 (.f64 (.f64 a a) -9/8) (/.f64 (pow.f64 b 3) (.f64 c c))) (+.f64 (/.f64 (.f64 (.f64 c a) -3/2) b) (/.f64 (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -27/16) (pow.f64 b 5))))
(+.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 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -3) 6)) (pow.f64 b 5)) (fma.f64 1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (.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)) (+.f64 (/.f64 (.f64 (.f64 a a) -9/8) (/.f64 (pow.f64 b 3) (.f64 c c))) (+.f64 (/.f64 (.f64 (.f64 c a) -3/2) b) (/.f64 (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -27/16) (pow.f64 b 5)))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (pow.f64 b 7)) (+.f64 (/.f64 (.f64 (.f64 a a) -9/8) (/.f64 (pow.f64 b 3) (.f64 c c))) (+.f64 (/.f64 (.f64 (.f64 c a) -3/2) b) (/.f64 (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -27/16) (pow.f64 b 5)))))
(*.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 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (*.f64 b -2))
(fma.f64 b -2 (.f64 (.f64 (/.f64 c b) (*.f64 a -3)) -1/2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 c a) 3/2) 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)))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (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 b -2 (/.f64 (.f64 (.f64 1/8 (.f64 c c)) (.f64 (*.f64 a a) 9)) (pow.f64 b 3))))
(fma.f64 b -2 (+.f64 (/.f64 (.f64 (.f64 c a) 3/2) b) (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) 9/8) (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))))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (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 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -3) 6)) (pow.f64 b 5)) -1/16))))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -3)) -1/2 (fma.f64 b -2 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 (.f64 a a) 9)) 1/8 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -27)) -1/16))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) 9/8) (pow.f64 b 3)) (+.f64 (/.f64 (.f64 (.f64 c a) 3/2) b) (fma.f64 b -2 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) 27/16) (pow.f64 b 5)))))
(.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))
(.f64 1/3 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(.f64 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)) 1/3)
(.f64 (sqrt.f64 (.f64 c a)) (*.f64 (sqrt.f64 -3) 1/3))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))) (.f64 -1/3 b))
(fma.f64 1/3 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) (*.f64 b -1/3))
(fma.f64 (.f64 (sqrt.f64 (.f64 c a)) 1/3) (sqrt.f64 -3) (*.f64 b -1/3))
(fma.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -3) 1/3) (*.f64 b -1/3))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))) (+.f64 (.f64 -1/3 b) (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3))))))
(fma.f64 1/3 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) (fma.f64 -1/3 b (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) 1/6)))
(fma.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) 1/3 (fma.f64 b -1/3 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (sqrt.f64 -3) (*.f64 b b))) 1/6)))
(fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 (/.f64 b (sqrt.f64 -3)) b) 1/6) (fma.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -3) 1/3) (.f64 b -1/3)))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))) (+.f64 (.f64 -1/3 b) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (.f64 -1/24 (.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 1/3 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) (fma.f64 -1/3 b (fma.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (.f64 (.f64 -1/24 (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 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) 1/3 (fma.f64 b -1/3 (fma.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (sqrt.f64 -3) (.f64 b b))) 1/6 (.f64 (/.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -3) -3)) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) -1/24)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -3) 1/3) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 (/.f64 b (sqrt.f64 -3)) b) 1/6) (fma.f64 b -1/3 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) 1/72))))
(.f64 1/6 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))
(/.f64 (.f64 1/6 (.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -3) 2))) b)
(/.f64 1/6 (/.f64 b (.f64 (.f64 c a) -3)))
(/.f64 (.f64 (.f64 c a) -1/2) b)
(+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (.f64 1/6 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)))
(fma.f64 -1/24 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4)))) (/.f64 (.f64 1/6 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -3) 2))) b))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 (.f64 a a) 9)) -1/24 (/.f64 1/6 (/.f64 b (.f64 (.f64 c a) -3))))
(+.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/8) (pow.f64 b 3)))
(+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (.f64 1/6 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))))
(fma.f64 1/48 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -3) 6)) (pow.f64 b 5)) (fma.f64 -1/24 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4)))) (/.f64 (.f64 1/6 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -3) 2))) b)))
(fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -27)) 1/48 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 (.f64 a a) 9)) -1/24 (/.f64 1/6 (/.f64 b (.f64 (.f64 c a) -3)))))
(+.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) (+.f64 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/8) (pow.f64 b 3)) (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -9/16) (pow.f64 b 5))))
(+.f64 (.f64 -1/6 (/.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 1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (.f64 1/6 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)))))
(fma.f64 -1/6 (/.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 1/48 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -3) 6)) (pow.f64 b 5)) (fma.f64 -1/24 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4)))) (/.f64 (.f64 1/6 (.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -3) 2))) b))))
(fma.f64 (/.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)) -1/6 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -27)) 1/48 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 (.f64 a a) 9)) -1/24 (/.f64 1/6 (/.f64 b (.f64 (.f64 c a) -3))))))
(+.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) (+.f64 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/8) (pow.f64 b 3)) (fma.f64 (/.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)) -1/6 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -9/16) (pow.f64 b 5)))))
(+.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) (+.f64 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/8) (pow.f64 b 3)) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (pow.f64 b 7)) -1/6 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -9/16) (pow.f64 b 5)))))
(*.f64 -2/3 b)
(*.f64 b -2/3)
(+.f64 (.f64 -1/6 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (.f64 -2/3 b))
(fma.f64 -1/6 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (*.f64 b -2/3))
(fma.f64 b -2/3 (.f64 (.f64 (/.f64 c b) (*.f64 a -3)) -1/6))
(fma.f64 b -2/3 (/.f64 (.f64 (.f64 c a) 1/2) b))
(+.f64 (.f64 -1/6 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (.f64 -2/3 b) (.f64 1/24 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(fma.f64 -1/6 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (fma.f64 -2/3 b (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4)))) 1/24)))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -3)) -1/6 (fma.f64 b -2/3 (/.f64 (.f64 (.f64 c c) 1/24) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) 9)))))
(+.f64 (/.f64 (.f64 (.f64 c a) 1/2) b) (fma.f64 b -2/3 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) 3/8) (pow.f64 b 3))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (.f64 -2/3 b) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (.f64 -1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))))))
(fma.f64 -1/6 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (fma.f64 -2/3 b (fma.f64 1/24 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4)))) (.f64 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -3) 6)) (pow.f64 b 5)) -1/48))))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -3)) -1/6 (fma.f64 b -2/3 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -27)) -1/48 (/.f64 (.f64 (.f64 c c) 1/24) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) 9))))))
(+.f64 (/.f64 (.f64 (.f64 c a) 1/2) b) (+.f64 (fma.f64 b -2/3 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) 3/8) (pow.f64 b 3))) (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) 9/16) (pow.f64 b 5))))

localize6.0ms (0%)

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1/2 (/.f64 b c)) (*.f64 -2/3 (/.f64 b a)))
	0.3b	(*.f64 -2/3 (/.f64 b a))
✓	0.5b	(/.f64 1/2 (/.f64 b c))

Compiler

Compiled 35 to 16 computations (54.3% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite81.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`log-prod_binary64`
332×	`pow2_binary64`
327×	`fma-def_binary64`
231×	`pow1/3_binary64`
229×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	252	21
2	3621	21

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

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

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

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`fma-def_binary64`
6×	`*-commutative_binary64`
4×	`associate-/l*_binary64`
2×	`associate-*r/_binary64`
2×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	609
1	19	609
2	30	609
3	38	609
4	42	609
5	44	609

Stop Event

1×

saturated

Counts

166 → 110

Calls

Call 1

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

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
✓	0.2b	(.f64 -3 (.f64 c a))
	0.4b	(/.f64 1/3 a)
✓	12.8b	(sqrt.f64 (.f64 -3 (.f64 c a)))

Compiler

Compiled 45 to 24 computations (46.7% saved)

series25.0ms (0.1%)

Counts

3 → 14

Calls

21 calls:

Time	Variable		Point	Expression
14.0ms	a	@	-inf	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
1.0ms	a	@	inf	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
1.0ms	c	@	-inf	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
1.0ms	c	@	inf	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
1.0ms	b	@	0	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))

rewrite88.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

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

Outputs

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

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

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

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

111 → 103

Calls

Call 1

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

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

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a -3) c (*.f64 b b))) b) (/.f64 1/3 a))
	0.4b	(/.f64 1/3 a)
✓	1.1b	(-.f64 (sqrt.f64 (fma.f64 (.f64 a -3) c (.f64 b b))) b)
✓	23.7b	(sqrt.f64 (fma.f64 (.f64 a -3) c (.f64 b b)))

Compiler

Compiled 60 to 30 computations (50% saved)

series17.0ms (0.1%)

Counts

3 → 60

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	a	@	0	(.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a -3) c (*.f64 b b))) b) (/.f64 1/3 a))
1.0ms	a	@	inf	(.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a -3) c (*.f64 b b))) b) (/.f64 1/3 a))
0.0ms	a	@	-inf	(.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a -3) c (*.f64 b b))) b) (/.f64 1/3 a))
0.0ms	c	@	inf	(.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a -3) c (*.f64 b b))) b) (/.f64 1/3 a))
0.0ms	a	@	0	(sqrt.f64 (fma.f64 (.f64 a -3) c (.f64 b b)))

rewrite98.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`prod-diff_binary64`
636×	`log-prod_binary64`
366×	`fma-def_binary64`
245×	`expm1-udef_binary64`
245×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	281	51
2	3667	48

Stop Event

1×	node limit

Counts

3 → 185

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -3 c)))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -3 c)))) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -3 c)))) b) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -3 c)))) b) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -3 c)))) b) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -3 c)))) b) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -3 c)))) b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x 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(sqrt.f64 (cbrt.f64 (pow.f64 b 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 -3 c) (*.f64 b b))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 -3 c) (*.f64 b b))) 1/2) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -3 c)))) b))) (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -3 c)))) b))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -3 c)))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -3 c)))) b)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 b 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 a (*.f64 -3 c) (*.f64 b b)) (*.f64 (neg.f64 b) (neg.f64 b))) (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -3 c)))) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -3 c)))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -3 c)))) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -3 c)))) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -3 c)))) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 b (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -3 c))))) (fma.f64 a (*.f64 -3 c) (*.f64 b b))) (-.f64 (pow.f64 (fma.f64 a (*.f64 -3 c) (*.f64 b b)) 3/2) (pow.f64 b 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 b (hypot.f64 b 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simplify101.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

887×	`fma-def_binary64`
661×	`associate-/l*_binary64`
591×	`associate-/r*_binary64`
465×	`unswap-sqr_binary64`
435×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	2076
1	575	2051
2	2069	1973
3	7320	1973

Stop Event

1×	node limit

Counts

245 → 260

Calls

Call 1

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

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

eval696.0ms (3.3%)

Compiler: Compiled 17166 to 10706 computations (37.6% saved)

prune209.0ms (1%)

Pruning

57 alts after pruning (48 fresh and 9 done)

	Pruned	Kept	Total
New	748	14	762
Fresh	13	34	47
Picked	0	1	1
Done	0	8	8
Total	761	57	818

Error

0.2b

Counts

818 → 57

Alt Table

Click to see full alt table

Status	Error	Program
	60.1b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 a))))))
✓	35.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	63.1b	(exp.f64 (log.f64 (*.f64 (/.f64 b a) 2/3)))
✓	35.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a -3) c (*.f64 b b))) b) (/.f64 1/3 a))
	49.4b	(.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c))) b)) 2) (/.f64 1/3 a))
	46.0b	(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3) a)
	42.1b	(/.f64 (*.f64 b -2/3) a)
	59.4b	(pow.f64 (pow.f64 (*.f64 -2/3 (/.f64 b a)) 3) 1/3)
	49.4b	(/.f64 (.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 -3 a)) (sqrt.f64 c))) b) 1/3) a)
✓	42.3b	(+.f64 (/.f64 1/2 (/.f64 b c)) (*.f64 -2/3 (/.f64 b a)))
	46.0b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	57.4b	(/.f64 (*.f64 (neg.f64 c) (cbrt.f64 -1/8)) b)
✓	33.3b	(/.f64 (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 -3 a)))) b) 1/3) a)
	46.1b	(.f64 (/.f64 c (/.f64 b (.f64 a -3/2))) (/.f64 1/3 a))
✓	46.1b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
	46.0b	(/.f64 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3)))
	52.9b	(exp.f64 (log.f64 (*.f64 -2/3 (/.f64 b a))))
	42.4b	(/.f64 (/.f64 (*.f64 -2/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	47.7b	(.f64 (/.f64 1 a) (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 1/3))
	42.1b	(*.f64 (/.f64 -2/3 a) b)
	50.5b	(.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) (/.f64 -9/8 (/.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) c))) (/.f64 1/3 a))
	43.0b	(.f64 (pow.f64 (sqrt.f64 (.f64 b -2)) 2) (/.f64 1/3 a))
	42.1b	(/.f64 (.f64 b -2) (.f64 3 a))
	46.0b	(/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) (*.f64 a 3))
	62.4b	(*.f64 (/.f64 b a) 2/3)
	57.0b	(.f64 (-.f64 (+.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) b) b) (/.f64 1/3 a))
	47.1b	(pow.f64 (cbrt.f64 (/.f64 (.f64 (/.f64 (.f64 c a) b) -1/2) a)) 3)
✓	42.1b	(*.f64 -2/3 (/.f64 b a))
	47.0b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
	45.1b	(.f64 (.f64 (/.f64 (*.f64 -3/2 c) b) a) (/.f64 1/3 a))
	63.1b	(pow.f64 (pow.f64 (*.f64 (/.f64 b a) 2/3) 3) 1/3)
	46.0b	(+.f64 (.f64 (/.f64 1/3 a) (sqrt.f64 (.f64 a (.f64 -3 c)))) (.f64 (/.f64 1/3 a) (neg.f64 b)))
	55.7b	(sqrt.f64 (.f64 (/.f64 1 (.f64 (/.f64 a b) (/.f64 a b))) 4/9))
	42.1b	(/.f64 -2/3 (/.f64 a b))
	58.0b	(sqrt.f64 (.f64 (.f64 b (/.f64 b (*.f64 a a))) 4/9))
	47.0b	(/.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) a)
✓	35.2b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
	43.5b	(/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 (.f64 c a) (/.f64 b 3/2)) b)) (.f64 3 a))
	45.9b	(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
	45.1b	(.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (.f64 (/.f64 1 a) 1/3))
	45.0b	(/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) -1/3) (neg.f64 a))
✓	57.4b	(*.f64 1/2 (/.f64 c b))
	35.3b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (*.f64 (/.f64 1 a) 1/3))
	49.4b	(.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c)) b) b) (/.f64 1/3 a))
	41.0b	(/.f64 -1/2 (/.f64 b c))
	46.5b	(/.f64 (.f64 (/.f64 1/3 a) (-.f64 (fma.f64 a (.f64 -3 c) (.f64 b b)) (.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -3 c))))))
	57.5b	(sqrt.f64 (.f64 (/.f64 b (.f64 (/.f64 a b) a)) 4/9))
	62.4b	(/.f64 b (/.f64 a 2/3))
✓	41.0b	(*.f64 -1/2 (/.f64 c b))
	42.4b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 (*.f64 c 3/2) b) a) b) b) (/.f64 1/3 a))
	47.8b	(/.f64 (.f64 (-.f64 (.f64 a (.f64 -3 c)) (.f64 b b)) 1/3) (.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) a))
	51.3b	(.f64 (-.f64 (.f64 (sqrt.f64 (*.f64 -3 c)) (sqrt.f64 a)) b) (/.f64 1/3 a))
	41.1b	(/.f64 (.f64 c (.f64 a (*.f64 -3/2 (/.f64 1/3 a)))) b)
	36.3b	(fma.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 -3 a)))) (/.f64 1/3 a) (*.f64 (neg.f64 b) (/.f64 1/3 a)))
	45.4b	(/.f64 (.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -3)) (sqrt.f64 a))) b) 1/3) a)
	45.5b	(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a))))
	44.3b	(.f64 (-.f64 (exp.f64 (.f64 (*.f64 -2 (log.f64 (/.f64 -1 b))) 1/2)) b) (/.f64 1/3 a))

Compiler

Compiled 867 to 630 computations (27.3% saved)

regimes2.0s (9.7%)

Counts

95 → 3

Calls

Call 1

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

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

422.0ms	a
406.0ms	(*.f64 3 a)
337.0ms	c
334.0ms	b
278.0ms	(*.f64 3 a)

Results

Error	Segments	Branch
24.2b	6	`a`
9.0b	3	`b`
27.2b	4	`c`
14.4b	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
24.2b	6	`(*.f64 3 a)`
24.2b	6	`(*.f64 3 a)`

Compiler

Compiled 1312 to 802 computations (38.9% saved)

bsearch163.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	2.8034176033813272e-167	2.527489446160161e-158
124.0ms	-2.631662221687931e+95	-1.2097359140969663e+91

Compiler

Compiled 536 to 393 computations (26.7% saved)

regimes715.0ms (3.4%)

Counts

44 → 3

Calls

Call 1

Inputs
(/.f64 (*.f64 b -2/3) a)
(*.f64 (/.f64 b a) 2/3)
(*.f64 1/2 (/.f64 c b))
(/.f64 b (/.f64 a 2/3))
(/.f64 (*.f64 -2/3 b) a)
(*.f64 1/2 (/.f64 c b))
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(/.f64 -1/2 (/.f64 b c))
(*.f64 -1/2 (/.f64 c b))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(/.f64 (.f64 b -2) (.f64 3 a))
(/.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) a)
(/.f64 (.f64 (/.f64 (.f64 c a) b) -1/2) a)
(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
(.f64 (.f64 (/.f64 (*.f64 -3/2 c) b) a) (/.f64 1/3 a))
(+.f64 (/.f64 1/2 (/.f64 b c)) (*.f64 -2/3 (/.f64 b a)))
(.f64 (/.f64 c (/.f64 b (.f64 a -3/2))) (/.f64 1/3 a))
(/.f64 (.f64 (/.f64 1/3 a) (.f64 (*.f64 c a) -3/2)) b)
(/.f64 (.f64 c (.f64 a (*.f64 -3/2 (/.f64 1/3 a)))) b)
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(/.f64 (.f64 -3/2 (.f64 a (/.f64 c b))) (*.f64 3 a))
(/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) -1/3) (neg.f64 a))
(.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (.f64 (/.f64 1 a) 1/3))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 (*.f64 c 3/2) b) a) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (+.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (+.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) b) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 (.f64 c a) (/.f64 b 3/2)) b)) (.f64 3 a))
(/.f64 (*.f64 (neg.f64 c) (cbrt.f64 -1/8)) b)
(sqrt.f64 (.f64 (.f64 b (/.f64 b (*.f64 a a))) 4/9))
(sqrt.f64 (.f64 (/.f64 b (.f64 (/.f64 a b) a)) 4/9))
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3) a)
(/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) (*.f64 a 3))
(sqrt.f64 (.f64 (/.f64 1 (.f64 (/.f64 a b) (/.f64 a b))) 4/9))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
(/.f64 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3)))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
(+.f64 (.f64 (/.f64 1/3 a) (sqrt.f64 (.f64 a (.f64 -3 c)))) (.f64 (/.f64 1/3 a) (neg.f64 b)))

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

Calls

5 calls:

267.0ms	c
125.0ms	(*.f64 3 a)
116.0ms	(*.f64 3 a)
112.0ms	a
82.0ms	b

Results

Error	Segments	Branch
28.1b	5	`a`
9.1b	3	`b`
28.1b	11	`c`
28.1b	5	`(*.f64 3 a)`
28.1b	5	`(*.f64 3 a)`

Compiler

Compiled 470 to 277 computations (41.1% saved)

bsearch83.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	2.8034176033813272e-167	2.527489446160161e-158
47.0ms	-9.8453255890464e+113	-1.5971187193829166e+113

Compiler

Compiled 461 to 334 computations (27.5% saved)

regimes1.2s (5.7%)

Counts

42 → 3

Calls

Call 1

Inputs
(/.f64 (*.f64 b -2/3) a)
(*.f64 (/.f64 b a) 2/3)
(*.f64 1/2 (/.f64 c b))
(/.f64 b (/.f64 a 2/3))
(/.f64 (*.f64 -2/3 b) a)
(*.f64 1/2 (/.f64 c b))
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(/.f64 -1/2 (/.f64 b c))
(*.f64 -1/2 (/.f64 c b))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(/.f64 (.f64 b -2) (.f64 3 a))
(/.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) a)
(/.f64 (.f64 (/.f64 (.f64 c a) b) -1/2) a)
(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
(.f64 (.f64 (/.f64 (*.f64 -3/2 c) b) a) (/.f64 1/3 a))
(+.f64 (/.f64 1/2 (/.f64 b c)) (*.f64 -2/3 (/.f64 b a)))
(.f64 (/.f64 c (/.f64 b (.f64 a -3/2))) (/.f64 1/3 a))
(/.f64 (.f64 (/.f64 1/3 a) (.f64 (*.f64 c a) -3/2)) b)
(/.f64 (.f64 c (.f64 a (*.f64 -3/2 (/.f64 1/3 a)))) b)
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(/.f64 (.f64 -3/2 (.f64 a (/.f64 c b))) (*.f64 3 a))
(/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) -1/3) (neg.f64 a))
(.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (.f64 (/.f64 1 a) 1/3))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 (*.f64 c 3/2) b) a) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (+.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (+.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) b) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 (.f64 c a) (/.f64 b 3/2)) b)) (.f64 3 a))
(/.f64 (*.f64 (neg.f64 c) (cbrt.f64 -1/8)) b)
(sqrt.f64 (.f64 (.f64 b (/.f64 b (*.f64 a a))) 4/9))
(sqrt.f64 (.f64 (/.f64 b (.f64 (/.f64 a b) a)) 4/9))
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3) a)
(/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) (*.f64 a 3))
(sqrt.f64 (.f64 (/.f64 1 (.f64 (/.f64 a b) (/.f64 a b))) 4/9))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
(/.f64 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3)))

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

Calls

5 calls:

480.0ms	c
264.0ms	a
180.0ms	(*.f64 3 a)
176.0ms	(*.f64 3 a)
75.0ms	b

Results

Error	Segments	Branch
31.0b	9	`a`
11.8b	3	`b`
32.5b	12	`c`
31.0b	9	`(*.f64 3 a)`
31.0b	9	`(*.f64 3 a)`

Compiler

Compiled 437 to 256 computations (41.4% saved)

bsearch176.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	2.8034176033813272e-167	2.527489446160161e-158
136.0ms	-1.267632846414495e-56	-1.9773923475361974e-59

Compiler

Compiled 468 to 359 computations (23.3% saved)

regimes1.0s (4.9%)

Counts

40 → 3

Calls

Call 1

Inputs
(/.f64 (*.f64 b -2/3) a)
(*.f64 (/.f64 b a) 2/3)
(*.f64 1/2 (/.f64 c b))
(/.f64 b (/.f64 a 2/3))
(/.f64 (*.f64 -2/3 b) a)
(*.f64 1/2 (/.f64 c b))
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(/.f64 -1/2 (/.f64 b c))
(*.f64 -1/2 (/.f64 c b))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(/.f64 (.f64 b -2) (.f64 3 a))
(/.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) a)
(/.f64 (.f64 (/.f64 (.f64 c a) b) -1/2) a)
(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
(.f64 (.f64 (/.f64 (*.f64 -3/2 c) b) a) (/.f64 1/3 a))
(+.f64 (/.f64 1/2 (/.f64 b c)) (*.f64 -2/3 (/.f64 b a)))
(.f64 (/.f64 c (/.f64 b (.f64 a -3/2))) (/.f64 1/3 a))
(/.f64 (.f64 (/.f64 1/3 a) (.f64 (*.f64 c a) -3/2)) b)
(/.f64 (.f64 c (.f64 a (*.f64 -3/2 (/.f64 1/3 a)))) b)
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(/.f64 (.f64 -3/2 (.f64 a (/.f64 c b))) (*.f64 3 a))
(/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) -1/3) (neg.f64 a))
(.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (.f64 (/.f64 1 a) 1/3))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 (*.f64 c 3/2) b) a) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (+.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (+.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) b) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 (.f64 c a) (/.f64 b 3/2)) b)) (.f64 3 a))
(/.f64 (*.f64 (neg.f64 c) (cbrt.f64 -1/8)) b)
(sqrt.f64 (.f64 (.f64 b (/.f64 b (*.f64 a a))) 4/9))
(sqrt.f64 (.f64 (/.f64 b (.f64 (/.f64 a b) a)) 4/9))
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3) a)
(/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) (*.f64 a 3))
(sqrt.f64 (.f64 (/.f64 1 (.f64 (/.f64 a b) (/.f64 a b))) 4/9))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))

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

Calls

5 calls:

319.0ms	(*.f64 3 a)
228.0ms	c
184.0ms	(*.f64 3 a)
177.0ms	a
56.0ms	b

Results

Error	Segments	Branch
31.0b	9	`a`
11.8b	3	`b`
32.5b	12	`c`
31.0b	9	`(*.f64 3 a)`
31.0b	9	`(*.f64 3 a)`

Compiler

Compiled 410 to 238 computations (42% saved)

bsearch156.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
58.0ms	2.8034176033813272e-167	2.527489446160161e-158
98.0ms	-1.267632846414495e-56	-1.9773923475361974e-59

Compiler

Compiled 451 to 342 computations (24.2% saved)

regimes1.0s (4.9%)

Counts

36 → 3

Calls

Call 1

Inputs
(/.f64 (*.f64 b -2/3) a)
(*.f64 (/.f64 b a) 2/3)
(*.f64 1/2 (/.f64 c b))
(/.f64 b (/.f64 a 2/3))
(/.f64 (*.f64 -2/3 b) a)
(*.f64 1/2 (/.f64 c b))
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(/.f64 -1/2 (/.f64 b c))
(*.f64 -1/2 (/.f64 c b))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(/.f64 (.f64 b -2) (.f64 3 a))
(/.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) a)
(/.f64 (.f64 (/.f64 (.f64 c a) b) -1/2) a)
(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
(.f64 (.f64 (/.f64 (*.f64 -3/2 c) b) a) (/.f64 1/3 a))
(+.f64 (/.f64 1/2 (/.f64 b c)) (*.f64 -2/3 (/.f64 b a)))
(.f64 (/.f64 c (/.f64 b (.f64 a -3/2))) (/.f64 1/3 a))
(/.f64 (.f64 (/.f64 1/3 a) (.f64 (*.f64 c a) -3/2)) b)
(/.f64 (.f64 c (.f64 a (*.f64 -3/2 (/.f64 1/3 a)))) b)
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(/.f64 (.f64 -3/2 (.f64 a (/.f64 c b))) (*.f64 3 a))
(/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) -1/3) (neg.f64 a))
(.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (.f64 (/.f64 1 a) 1/3))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 (*.f64 c 3/2) b) a) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (+.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (+.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) b) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 (.f64 c a) (/.f64 b 3/2)) b)) (.f64 3 a))
(/.f64 (*.f64 (neg.f64 c) (cbrt.f64 -1/8)) b)
(sqrt.f64 (.f64 (.f64 b (/.f64 b (*.f64 a a))) 4/9))
(sqrt.f64 (.f64 (/.f64 b (.f64 (/.f64 a b) a)) 4/9))
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3) a)

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

Calls

5 calls:

358.0ms	c
224.0ms	(*.f64 3 a)
213.0ms	(*.f64 3 a)
155.0ms	a
66.0ms	b

Results

Error	Segments	Branch
31.1b	9	`a`
11.8b	3	`b`
33.5b	9	`c`
31.1b	9	`(*.f64 3 a)`
31.1b	9	`(*.f64 3 a)`

Compiler

Compiled 362 to 209 computations (42.3% saved)

bsearch102.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
40.0ms	2.8034176033813272e-167	2.527489446160161e-158
62.0ms	-1.267632846414495e-56	-1.9773923475361974e-59

Compiler

Compiled 451 to 342 computations (24.2% saved)

regimes1.4s (6.8%)

Counts

35 → 2

Calls

Call 1

Inputs
(/.f64 (*.f64 b -2/3) a)
(*.f64 (/.f64 b a) 2/3)
(*.f64 1/2 (/.f64 c b))
(/.f64 b (/.f64 a 2/3))
(/.f64 (*.f64 -2/3 b) a)
(*.f64 1/2 (/.f64 c b))
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(/.f64 -1/2 (/.f64 b c))
(*.f64 -1/2 (/.f64 c b))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(/.f64 (.f64 b -2) (.f64 3 a))
(/.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) a)
(/.f64 (.f64 (/.f64 (.f64 c a) b) -1/2) a)
(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
(.f64 (.f64 (/.f64 (*.f64 -3/2 c) b) a) (/.f64 1/3 a))
(+.f64 (/.f64 1/2 (/.f64 b c)) (*.f64 -2/3 (/.f64 b a)))
(.f64 (/.f64 c (/.f64 b (.f64 a -3/2))) (/.f64 1/3 a))
(/.f64 (.f64 (/.f64 1/3 a) (.f64 (*.f64 c a) -3/2)) b)
(/.f64 (.f64 c (.f64 a (*.f64 -3/2 (/.f64 1/3 a)))) b)
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(/.f64 (.f64 -3/2 (.f64 a (/.f64 c b))) (*.f64 3 a))
(/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) -1/3) (neg.f64 a))
(.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (.f64 (/.f64 1 a) 1/3))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 (*.f64 c 3/2) b) a) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (+.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (+.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) b) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 (.f64 c a) (/.f64 b 3/2)) b)) (.f64 3 a))
(/.f64 (*.f64 (neg.f64 c) (cbrt.f64 -1/8)) b)
(sqrt.f64 (.f64 (.f64 b (/.f64 b (*.f64 a a))) 4/9))
(sqrt.f64 (.f64 (/.f64 b (.f64 (/.f64 a b) a)) 4/9))

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

Calls

5 calls:

966.0ms	(*.f64 3 a)
184.0ms	c
120.0ms	a
116.0ms	(*.f64 3 a)
35.0ms	b

Results

Error	Segments	Branch
33.5b	7	`a`
20.6b	2	`b`
34.1b	10	`c`
33.5b	7	`(*.f64 3 a)`
33.5b	7	`(*.f64 3 a)`

Compiler

Compiled 350 to 201 computations (42.6% saved)

bsearch56.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
56.0ms	9.629854731825918e-253	1.6544684621199694e-247

Compiler

Compiled 206 to 163 computations (20.9% saved)

regimes161.0ms (0.8%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

3 calls:

94.0ms	c
46.0ms	a
16.0ms	b

Results

Error	Segments	Branch
33.5b	7	`a`
20.6b	2	`b`
34.1b	10	`c`

Compiler

Compiled 77 to 46 computations (40.3% saved)

bsearch33.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	9.629854731825918e-253	1.6544684621199694e-247

Compiler

Compiled 188 to 145 computations (22.9% saved)

regimes578.0ms (2.8%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

3 calls:

407.0ms	c
138.0ms	a
30.0ms	b

Results

Error	Segments	Branch
33.5b	7	`a`
20.6b	2	`b`
34.1b	10	`c`

Compiler

Compiled 65 to 40 computations (38.5% saved)

bsearch146.0ms (0.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
145.0ms	9.629854731825918e-253	1.6544684621199694e-247

Compiler

Compiled 188 to 145 computations (22.9% saved)

regimes92.0ms (0.4%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	a
26.0ms	b
15.0ms	c

Results

Error	Segments	Branch
42.1b	1	`a`
37.3b	2	`b`
42.1b	1	`c`

Compiler

Compiled 60 to 37 computations (38.3% saved)

bsearch610.0ms (2.9%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
610.0ms	5.7888329736302955e-24	4.648693563484165e-15

Compiler

Compiled 188 to 145 computations (22.9% saved)

regimes160.0ms (0.8%)

Accuracy

Total -20.8b remaining (-49.6%)

Threshold costs -20.8b (-49.6%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

146.0ms	c
6.0ms	b
6.0ms	a

Results

Error	Segments	Branch
42.1b	1	`a`
42.1b	1	`b`
42.1b	1	`c`

Compiler

Compiled 25 to 18 computations (28% saved)

simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64`
11×	`+-commutative_binary64`
8×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	73	326
1	99	322
2	121	322
3	130	322
4	136	322
5	138	322

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b -12500000000000000542216212182739825916128666561899241397397172366701460161121013886766546944) (/.f64 (.f64 b -2/3) a) (if (<=.f64 b 30806003583372492/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (/.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 -159999999999999988819189550820870356554773304022236295881854349786355677325294622460191417390308071481235648544768) (/.f64 (.f64 b -2/3) a) (if (<=.f64 b 30806003583372492/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a)) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -2315841784746323968/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 (.f64 b -2/3) a) (if (<=.f64 b 30806003583372492/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (.f64 3 a)) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -2315841784746323968/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 (.f64 b -2/3) a) (if (<=.f64 b 30806003583372492/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) (.f64 a 3)) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -2315841784746323968/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 (.f64 b -2/3) a) (if (<=.f64 b 30806003583372492/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) 1/3) a) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b 517728640512951936/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (/.f64 (.f64 b -2) (.f64 3 a)) (*.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 517728640512951936/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (/.f64 (.f64 b -2/3) a) (.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 517728640512951936/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (/.f64 (*.f64 b -2/3) a) (/.f64 -1/2 (/.f64 b c)))
(if (<=.f64 b 1973637728141443/340282366920938463463374607431768211456) (/.f64 (.f64 b -2/3) a) (.f64 1/2 (/.f64 c b)))
(/.f64 (*.f64 b -2/3) a)

Outputs
(if (<=.f64 b -12500000000000000542216212182739825916128666561899241397397172366701460161121013886766546944) (/.f64 (.f64 b -2/3) a) (if (<=.f64 b 30806003583372492/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (/.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 -12500000000000000542216212182739825916128666561899241397397172366701460161121013886766546944) (/.f64 (.f64 b -2/3) a) (if (<=.f64 b 7701500895843123/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.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 -12500000000000000542216212182739825916128666561899241397397172366701460161121013886766546944) (/.f64 (.f64 b -2/3) a) (if (<=.f64 b 7701500895843123/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.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 -159999999999999988819189550820870356554773304022236295881854349786355677325294622460191417390308071481235648544768) (/.f64 (.f64 b -2/3) a) (if (<=.f64 b 30806003583372492/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a)) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -159999999999999988819189550820870356554773304022236295881854349786355677325294622460191417390308071481235648544768) (/.f64 (.f64 b -2/3) a) (if (<=.f64 b 7701500895843123/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (/.f64 1/3 a)) (.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -2315841784746323968/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 (.f64 b -2/3) a) (if (<=.f64 b 30806003583372492/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (.f64 3 a)) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -565391060729083/28269553036454149273332760011886696253239742350009903329945699220681916416) (/.f64 (.f64 b -2/3) a) (if (<=.f64 b 7701500895843123/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (.f64 a 3)) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -565391060729083/28269553036454149273332760011886696253239742350009903329945699220681916416) (/.f64 (.f64 b -2/3) a) (if (<=.f64 b 7701500895843123/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 a 3)) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -2315841784746323968/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 (.f64 b -2/3) a) (if (<=.f64 b 30806003583372492/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) (.f64 a 3)) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -565391060729083/28269553036454149273332760011886696253239742350009903329945699220681916416) (/.f64 (.f64 b -2/3) a) (if (<=.f64 b 7701500895843123/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) (.f64 a 3)) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -2315841784746323968/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 (.f64 b -2/3) a) (if (<=.f64 b 30806003583372492/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) 1/3) a) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -565391060729083/28269553036454149273332760011886696253239742350009903329945699220681916416) (/.f64 (.f64 b -2/3) a) (if (<=.f64 b 7701500895843123/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 (.f64 1/3 (-.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)) a) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b 517728640512951936/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (/.f64 (.f64 b -2) (.f64 3 a)) (*.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 4044755004007437/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112) (/.f64 (.f64 b -2) (.f64 a 3)) (*.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 517728640512951936/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (/.f64 (.f64 b -2/3) a) (.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 4044755004007437/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112) (/.f64 (.f64 b -2/3) a) (.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 517728640512951936/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (/.f64 (*.f64 b -2/3) a) (/.f64 -1/2 (/.f64 b c)))
(if (<=.f64 b 4044755004007437/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112) (/.f64 (*.f64 b -2/3) a) (/.f64 -1/2 (/.f64 b c)))
(if (<=.f64 b 1973637728141443/340282366920938463463374607431768211456) (/.f64 (.f64 b -2/3) a) (.f64 1/2 (/.f64 c b)))
(if (<=.f64 b 1973637728141443/340282366920938463463374607431768211456) (/.f64 (.f64 b -2/3) a) (.f64 (/.f64 c b) 1/2))
(/.f64 (*.f64 b -2/3) a)

Compiler

Compiled 251 to 175 computations (30.3% saved)

soundness574.0ms (2.7%)

Algorithm

2×	egg-herbie

Rules

1220×	`fma-neg_binary64`
827×	`fma-def_binary64`
779×	`associate-l_binary64`
741×	`div-sub_binary64`
671×	`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	127	1272
1	368	1082
2	1295	1015
3	6675	991

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 758 to 552 computations (27.2% saved)

end159.0ms (0.8%)

Compiler: Compiled 224 to 140 computations (37.5% saved)