Details

analyze507.0ms (2.4%)

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)

sample2.6s (12.4%)

Results

900.0ms	5517×	body	256	valid
613.0ms	1190×	body	2048	valid
347.0ms	424×	body	4096	valid
308.0ms	733×	body	1024	valid
280.0ms	1650×	body	256	invalid
121.0ms	392×	body	512	valid

preprocess62.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

795×	`fma-def_binary64`
731×	`div-sub_binary64`
553×	`associate-/r*_binary64`
379×	`sub-neg_binary64`
362×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	104
1	92	88
2	213	88
3	440	88
4	758	88
5	1251	88
6	2221	88
7	4457	88
8	7233	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 c (.f64 a -3) (.f64 b b))) b) (*.f64 3 a))
(.f64 -1/3 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)))) a))
(.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 c (.f64 b -3) (.f64 a a))) a) (*.f64 b 3))
(.f64 -1/3 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 c (.f64 b -3) (*.f64 a a)))) b))
(.f64 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 a a (.f64 (*.f64 b c) -3)))) b) -1/3)
(.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 c (.f64 a -3) (.f64 b b))) b) (*.f64 3 c))
(.f64 -1/3 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)))) c))
(.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 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)

simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1220×	`fma-neg_binary64`
827×	`fma-def_binary64`
738×	`div-sub_binary64`
408×	`associate-/l/_binary64`
351×	`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	264	22
5	433	22
6	744	22
7	1341	22
8	2769	22
9	4702	22
10	6065	22
11	6674	22
12	6851	22
13	6956	22
14	7439	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 -3 (.f64 a c)))) 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 a (.f64 c -3) (.f64 b b))) b) (*.f64 3 a))
(.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b)))) (/.f64 -1/3 a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -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

32.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
▶	32.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize9.0ms (0%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1/3 a)
	0.3b	(fma.f64 b b (.f64 a (.f64 c -3)))
	0.2b	(.f64 a (.f64 c -3))
	0.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
✓	0.3b	(fma.f64 b b (.f64 a (.f64 c -3)))
✓	0.4b	(/.f64 1/3 a)
✓	1.2b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)
✓	21.5b	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3))))

series25.0ms (0.1%)

Counts

4 → 76

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	b	@	inf	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3))))
3.0ms	a	@	-inf	(fma.f64 b b (.f64 a (.f64 c -3)))
2.0ms	b	@	0	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3))))
1.0ms	c	@	inf	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3))))
1.0ms	a	@	inf	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3))))

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	260	42
2	3284	42

Stop Event

1×	node limit

Counts

4 → 187

Calls

Call 1

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

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

simplify79.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	1747
1	396	1679
2	1354	1631
3	7785	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 (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)))

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

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	1.2b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
	0.5b	(.f64 (.f64 3 a) c)
	0.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
✓	0.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
✓	0.5b	(.f64 (.f64 3 a) c)
✓	1.2b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
✓	21.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series20.0ms (0.1%)

Counts

4 → 84

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	b	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
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	b	@	0	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
1.0ms	c	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

rewrite85.0ms (0.4%)

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	68
1	302	58
2	4494	55

Stop Event

1×	node limit

Counts

4 → 155

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

simplify81.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

887×	`fma-def_binary64`
662×	`associate-/l*_binary64`
593×	`associate-/r*_binary64`
466×	`unswap-sqr_binary64`
435×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	2244
1	579	2219
2	2084	2141
3	7328	2141

Stop Event

1×	node limit

Counts

239 → 232

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

eval216.0ms (1%)

Compiler: Compiled 11691 to 7459 computations (36.2% saved)

prune123.0ms (0.6%)

Pruning

38 alts after pruning (37 fresh and 1 done)

	Pruned	Kept	Total
New	435	37	472
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	436	38	474

Error

3.6b

Counts

474 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	54.3b	(log1p.f64 (expm1.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) (/.f64 1/3 a))))
	44.4b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 3 a)) 2)) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (cbrt.f64 (*.f64 3 a))))
▶	45.2b	(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
✓	32.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	32.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (pow.f64 (cbrt.f64 (.f64 3 (.f64 a c))) 3)))) (.f64 3 a))
	39.8b	(*.f64 -1/2 (/.f64 c b))
	42.5b	(.f64 (/.f64 (-.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))))) (/.f64 1/3 a))
	55.0b	(*.f64 (-.f64 b b) (/.f64 1/3 a))
▶	44.1b	(neg.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (*.f64 a -3)))
	45.6b	(/.f64 (.f64 b -2) (.f64 3 a))
	44.1b	(pow.f64 (/.f64 (.f64 3 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))))) -1)
	44.4b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) 2) 3) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))))) a))
	45.9b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 -2/3 a) b))
	44.1b	(.f64 1/3 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) a))
	33.3b	(.f64 (-.f64 (pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3))))) 3) b) (/.f64 1/3 a))
	45.9b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
	44.1b	(.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 1/3) (/.f64 1 a))
	33.7b	(.f64 (sqrt.f64 (pow.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b) 2)) (/.f64 1/3 a))
	45.8b	(*.f64 (/.f64 -2/3 a) b)
	32.0b	(.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b))) (/.f64 1/3 a))
▶	45.8b	(*.f64 -2/3 (/.f64 b a))
	46.0b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
	45.8b	(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 3/2) b) a) b)) (*.f64 3 a))
	30.2b	(.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b)) 2) (/.f64 1/3 a))
	42.4b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
	32.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) (.f64 3 a))
	32.4b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 a (.f64 c -3)) (.f64 b b))) b) (/.f64 1/3 a))
	30.5b	(.f64 (.f64 (cbrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)) 2)) (/.f64 1/3 a))
	35.4b	(.f64 (-.f64 (exp.f64 (.f64 (log.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) 1/2)) b) (/.f64 1/3 a))
	44.4b	(.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (pow.f64 (cbrt.f64 (.f64 3 a)) 2)) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (cbrt.f64 (*.f64 3 a))))
	42.6b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
	43.9b	(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a))))
	44.3b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
	44.3b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
▶	30.1b	(.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	32.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (.f64 1/3 (/.f64 1 a)))
▶	46.0b	(/.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 3 a))
	42.4b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))

Compiler

Compiled 1392 to 1000 computations (28.2% saved)

localize9.0ms (0%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.9b	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)
	0.4b	(/.f64 1/3 a)
	0.2b	(.f64 a (.f64 c -3))
	0.2b	(.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
✓	0.2b	(.f64 a (.f64 c -3))
	0.4b	(/.f64 1/3 a)
✓	0.9b	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)
✓	11.2b	(sqrt.f64 (.f64 a (.f64 c -3)))

series33.0ms (0.2%)

Counts

3 → 36

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)
3.0ms	c	@	-inf	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)
3.0ms	b	@	inf	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)
3.0ms	c	@	0	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)
3.0ms	c	@	inf	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)

rewrite71.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`prod-diff_binary64`
520×	`log-prod_binary64`
341×	`pow-prod-down_binary64`
276×	`pow2_binary64`
225×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	214	31
2	2723	31

Stop Event

1×	node limit

Counts

3 → 151

Calls

Call 1

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

Outputs

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

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

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

737×	`associate-r_binary64`
671×	`unswap-sqr_binary64`
627×	`associate-l_binary64`
533×	`times-frac_binary64`
413×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	714
1	260	613
2	928	584
3	6232	574

Stop Event

1×	node limit

Counts

187 → 176

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))

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 (.f64 b 1/2) (/.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 (/.f64 b (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 (/.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 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b 1/2) (/.f64 (sqrt.f64 -3) b)))) b))
(.f64 1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))
(.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))))
(.f64 1/2 (.f64 (/.f64 c b) (*.f64 a -3)))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))
(fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (.f64 -1/8 (/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -3) 4) (.f64 a a)) (.f64 c c)) (pow.f64 b 3))))
(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 c b) (.f64 -3/2 a)) (.f64 (/.f64 (.f64 c c) (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 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (.f64 -1/8 (/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -3) 4) (.f64 a a)) (*.f64 c c)) (pow.f64 b 3)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (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 c b) (.f64 -3/2 a)) (+.f64 (.f64 (/.f64 (.f64 c c) (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 (pow.f64 (sqrt.f64 -3) 4) (.f64 a a)) (.f64 c c))) 2)) (pow.f64 b 7)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (.f64 -1/8 (/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -3) 4) (.f64 a a)) (.f64 c c)) (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 c (.f64 c (.f64 a a))) -9/8) 2)) (pow.f64 b 7)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (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 c c) (pow.f64 b 3)) (.f64 (.f64 a a) -9/8)) (fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 a 4) 81) (+.f64 (.f64 (pow.f64 c 4) 1/64) (.f64 1/16 (pow.f64 c 4)))) (pow.f64 b 7)) (+.f64 (.f64 (/.f64 c b) (.f64 -3/2 a)) (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -27/16) (pow.f64 b 5)))))
(+.f64 (.f64 (/.f64 c b) (.f64 -3/2 a)) (+.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 (.f64 a a) -9/8)) (+.f64 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -27/16) (pow.f64 b 5)) (/.f64 (.f64 (.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) 81)) -5/128) (pow.f64 b 7)))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (.f64 -2 b))
(fma.f64 -1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (.f64 b -2))
(fma.f64 b -2 (.f64 (.f64 (/.f64 c b) (*.f64 a -3)) -1/2))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (.f64 -2 b) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(fma.f64 -1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (fma.f64 -2 b (.f64 (/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -3) 4) (.f64 a a)) (.f64 c c)) (pow.f64 b 3)) 1/8)))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -3)) -1/2 (fma.f64 b -2 (/.f64 1/8 (/.f64 (pow.f64 b 3) (.f64 (.f64 a (.f64 a 9)) (.f64 c c))))))
(+.f64 (.f64 (/.f64 c b) (.f64 3/2 a)) (fma.f64 b -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 9/8 (.f64 a a)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))))))
(fma.f64 -1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (fma.f64 -2 b (fma.f64 1/8 (/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -3) 4) (.f64 a a)) (.f64 c c)) (pow.f64 b 3)) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))) -1/16))))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -3)) -1/2 (fma.f64 b -2 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a 9))) 1/8 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) -27))) -1/16))))
(+.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 9/8 (.f64 a a))) (+.f64 (.f64 (/.f64 c b) (.f64 3/2 a)) (fma.f64 b -2 (/.f64 (.f64 (pow.f64 c 3) (.f64 27/16 (pow.f64 a 3))) (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))

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

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

series6.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite39.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize11.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	4.7b	(/.f64 (*.f64 c a) b)
	3.8b	(/.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 3 a))
	0.2b	(.f64 3/2 (/.f64 (.f64 c a) b))
✓	0.2b	(.f64 3/2 (/.f64 (.f64 c a) b))
✓	3.8b	(/.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 3 a))
✓	4.7b	(/.f64 (*.f64 c a) b)

series26.0ms (0.1%)

Counts

3 → 36

Calls

27 calls:

Time	Variable		Point	Expression
9.0ms	b	@	inf	(/.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 3 a))
3.0ms	a	@	-inf	(.f64 3/2 (/.f64 (.f64 c a) b))
1.0ms	c	@	0	(/.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 3 a))
1.0ms	b	@	0	(/.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 3 a))
1.0ms	b	@	-inf	(/.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 3 a))

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

827×	`log-prod_binary64`
340×	`fma-def_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`
257×	`pow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	309	37
2	4303	37

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 c (/.f64 b a)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 c (/.f64 b a))) 3/2)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 c (/.f64 b a))) 3/2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 c (/.f64 b a))) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 c (/.f64 b a))) 3/2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 c (/.f64 b a))) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c (/.f64 b a)) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3/2 (/.f64 b (*.f64 c a)))))) (#(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 c 3/2) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a (neg.f64 c)) 3/2) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3/2 c) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3/2 (*.f64 a (neg.f64 c))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 c (/.f64 b a)) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 c (/.f64 b a)) 3/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 c (/.f64 b a)) 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 c (/.f64 b a)) 3) 27/8) 1/3)))) (#(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 c (/.f64 b a)) 2) 9/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 c (/.f64 b a))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c (/.f64 b a)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 c (/.f64 b a)) 3) 27/8))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 c (/.f64 b a)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 c (/.f64 b a)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c (/.f64 b a)) 3/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 c (/.f64 b a)) 3/2)))))))

simplify21.0ms (0.1%)

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	441
1	19	441
2	30	441
3	38	441
4	42	441
5	44	441

Stop Event

1×

saturated

Counts

155 → 124

Calls

Call 1

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

Outputs
(*.f64 -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 -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))

localize10.0ms (0%)

Local error

Found 8 expressions with local error:

New	Error	Program
	11.2b	(sqrt.f64 (.f64 c (.f64 a -3)))
	0.6b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))
	0.5b	(.f64 c (.f64 a -3))
	0.4b	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (*.f64 a -3))
✓	0.4b	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (*.f64 a -3))
✓	0.5b	(.f64 c (.f64 a -3))
✓	0.6b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))
✓	11.2b	(sqrt.f64 (.f64 c (.f64 a -3)))

series37.0ms (0.2%)

Counts

4 → 52

Calls

30 calls:

Time	Variable		Point	Expression
10.0ms	a	@	inf	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (*.f64 a -3))
4.0ms	a	@	-inf	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (*.f64 a -3))
3.0ms	c	@	-inf	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (*.f64 a -3))
3.0ms	c	@	inf	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (*.f64 a -3))
1.0ms	c	@	0	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (*.f64 a -3))

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`prod-diff_binary64`
636×	`log-prod_binary64`
316×	`pow2_binary64`
226×	`fma-def_binary64`
221×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	241	52
2	3325	52

Stop Event

1×	node limit

Counts

4 → 143

Calls

Call 1

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

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

Algorithm

1×	egg-herbie

Rules

919×	`times-frac_binary64`
687×	`associate-/l*_binary64`
557×	`unswap-sqr_binary64`
496×	`fma-def_binary64`
490×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	147	1284
1	430	1073
2	1560	1051
3	6571	1027
4	7616	1027
5	7966	1027

Stop Event

1×	node limit

Counts

195 → 192

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 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 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 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -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 -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 1/16 (/.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 (.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 -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 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 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 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 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 (.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 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))))))
(*.f64 2 b)
(*.f64 2 b)
(.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 b a)) (.f64 -1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (.f64 -1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (+.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 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))) (.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 -2/3 (/.f64 b a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 -1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (+.f64 (.f64 -1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(+.f64 (.f64 -2/3 (/.f64 b a)) (+.f64 (.f64 -1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (.f64 -1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 1/24 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))))
(.f64 1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b))
(+.f64 (.f64 1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))
(+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (.f64 1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (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)) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(.f64 (sqrt.f64 -3) (sqrt.f64 (.f64 c a)))
(+.f64 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) b)
(fma.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a)) b)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 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))) (+.f64 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)) b))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) b))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (/.f64 b (sqrt.f64 -3)) b)) b))
(fma.f64 (sqrt.f64 -3) (sqrt.f64 (.f64 c a)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (/.f64 b (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 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))) (+.f64 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)) b)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.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 (/.f64 (pow.f64 b 4) -3) (sqrt.f64 -3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) b)))
(+.f64 (.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) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (/.f64 b (sqrt.f64 -3)) b)) b)))
(+.f64 (.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 -3) (sqrt.f64 (.f64 c a)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (/.f64 b (sqrt.f64 -3)) b)) b)))
(*.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 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b) (*.f64 b 2))
(fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -3)) (*.f64 b 2))
(fma.f64 b 2 (.f64 (/.f64 1/2 b) (.f64 (*.f64 c a) -3)))
(+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 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 2 b)))
(fma.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 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 b 2)))
(fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -3)) (fma.f64 b 2 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -9/8) (pow.f64 b 3))))
(fma.f64 b 2 (fma.f64 1/2 (.f64 (.f64 a -3) (/.f64 c b)) (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -9/8) (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 (.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))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 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 b 2))))
(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)) (fma.f64 b 2 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -9/8) (pow.f64 b 3)))))
(fma.f64 1/2 (.f64 (.f64 a -3) (/.f64 c b)) (fma.f64 1/16 (.f64 (.f64 (pow.f64 a 3) -27) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 b 2 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -9/8) (pow.f64 b 3)))))
(.f64 -1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))
(.f64 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b) -1/2)
(.f64 (.f64 (/.f64 c b) (*.f64 a -3)) -1/2)
(.f64 (/.f64 -1/2 (/.f64 b c)) (.f64 a -3))
(+.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 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b) (/.f64 (.f64 1/8 (.f64 (.f64 c c) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 4)))) (pow.f64 b 3)))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -3)) -1/2 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 (*.f64 a a) 9)) 1/8) (pow.f64 b 3)))
(fma.f64 (.f64 (.f64 a -3) (/.f64 c b)) -1/2 (.f64 (.f64 (/.f64 (.f64 (.f64 a a) 9) (pow.f64 b 3)) (*.f64 c c)) 1/8))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 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 c (.f64 a (pow.f64 (sqrt.f64 -3) 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 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))) -1/16)))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -3)) -1/2 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -27)) -1/16 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 (*.f64 a a) 9)) 1/8) (pow.f64 b 3))))
(fma.f64 (.f64 (.f64 a -3) (/.f64 c b)) -1/2 (fma.f64 (.f64 (/.f64 (.f64 (.f64 a a) 9) (pow.f64 b 3)) (.f64 c c)) 1/8 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) -27)) -1/16))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 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 (.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 -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 c (.f64 a (pow.f64 (sqrt.f64 -3) 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)) (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)) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))) -1/16))))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -3)) -1/2 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 (.f64 a a) 9)) 1/8 (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)) (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -27)) -1/16))))
(fma.f64 (.f64 (.f64 a -3) (/.f64 c b)) -1/2 (fma.f64 1/2 (/.f64 (.f64 (.f64 (pow.f64 a 4) 81) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (pow.f64 b 7)) (fma.f64 (.f64 (/.f64 (.f64 (.f64 a a) 9) (pow.f64 b 3)) (.f64 c c)) 1/8 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) -27)) -1/16)))))
(fma.f64 (.f64 (.f64 a -3) (/.f64 c b)) -1/2 (fma.f64 1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (pow.f64 b 7)) (fma.f64 (.f64 (/.f64 (.f64 (.f64 a a) 9) (pow.f64 b 3)) (.f64 c c)) 1/8 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) -27)) -1/16)))))
(*.f64 2 b)
(*.f64 b 2)
(*.f64 2 b)
(*.f64 b 2)
(.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 -1/3 (.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a))))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -3) -1/3))
(.f64 (sqrt.f64 -3) (.f64 -1/3 (sqrt.f64 (/.f64 c a))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 -1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(.f64 -1/3 (+.f64 (/.f64 b a) (.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a)))))
(.f64 -1/3 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))
(*.f64 -1/3 (fma.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+.f64 (.f64 -1/3 (/.f64 b a)) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (.f64 -1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 -1/3 (/.f64 b a) (fma.f64 -1/6 (.f64 (/.f64 (.f64 b b) (sqrt.f64 -3)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (.f64 -1/3 (.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a))))))
(fma.f64 -1/3 (/.f64 b a) (fma.f64 -1/3 (.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a))) (.f64 (/.f64 b (/.f64 (sqrt.f64 -3) b)) (.f64 -1/6 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))))))
(fma.f64 -1/3 (fma.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (.f64 (.f64 (/.f64 b (sqrt.f64 -3)) b) (*.f64 -1/6 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))))))
(+.f64 (.f64 -1/3 (/.f64 b a)) (+.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 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))) (.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)))))))
(fma.f64 -1/3 (/.f64 b a) (fma.f64 -1/6 (.f64 (/.f64 (.f64 b b) (sqrt.f64 -3)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (fma.f64 -1/3 (.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a))) (.f64 1/24 (.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))))))))
(fma.f64 -1/3 (/.f64 b a) (fma.f64 -1/6 (.f64 (/.f64 b (/.f64 (sqrt.f64 -3) b)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (fma.f64 -1/3 (.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (.f64 (/.f64 (/.f64 (pow.f64 b 4) -3) (sqrt.f64 -3)) 1/24)))))
(+.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) -1/72) (fma.f64 -1/3 (fma.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (.f64 (.f64 (/.f64 b (sqrt.f64 -3)) b) (*.f64 -1/6 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))))))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 b a) -2/3)
(/.f64 b (/.f64 a -2/3))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 -1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)))
(fma.f64 -2/3 (/.f64 b a) (.f64 -1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)))
(fma.f64 (/.f64 b a) -2/3 (/.f64 (*.f64 1/2 c) b))
(fma.f64 (/.f64 b a) -2/3 (/.f64 1/2 (/.f64 b c)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (+.f64 (.f64 -1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(fma.f64 -2/3 (/.f64 b a) (fma.f64 -1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b) (.f64 1/24 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -3) 4)))))))
(fma.f64 (/.f64 b a) -2/3 (fma.f64 1/24 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 9)) (/.f64 (.f64 1/2 c) b)))
(fma.f64 1/24 (.f64 (/.f64 (.f64 c (*.f64 c a)) (pow.f64 b 3)) 9) (fma.f64 (/.f64 b a) -2/3 (/.f64 1/2 (/.f64 b c))))
(+.f64 (.f64 -2/3 (/.f64 b a)) (+.f64 (.f64 -1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (.f64 -1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 1/24 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))))
(fma.f64 -2/3 (/.f64 b a) (fma.f64 -1/48 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 -1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b) (.f64 1/24 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -3) 4))))))))
(fma.f64 (/.f64 b a) -2/3 (fma.f64 -1/48 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -27))) (fma.f64 1/24 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 9)) (/.f64 (*.f64 1/2 c) b))))
(fma.f64 -1/48 (.f64 (.f64 a (.f64 a -27)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 1/24 (.f64 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) 9) (fma.f64 (/.f64 b a) -2/3 (/.f64 1/2 (/.f64 b c)))))
(.f64 1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b))
(.f64 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b) 1/6)
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(+.f64 (.f64 1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))
(fma.f64 1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b) (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -3) 4)))) -1/24))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 9)) -1/24 (/.f64 (.f64 -1/2 c) b))
(fma.f64 (.f64 (/.f64 (.f64 c (*.f64 c a)) (pow.f64 b 3)) 9) -1/24 (/.f64 -1/2 (/.f64 b c)))
(+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (.f64 1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(fma.f64 1/48 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b) (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -3) 4)))) -1/24)))
(fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -27))) 1/48 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 9)) -1/24 (/.f64 (*.f64 -1/2 c) b)))
(fma.f64 (.f64 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) 9) -1/24 (fma.f64 (.f64 (.f64 a (.f64 a -27)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 1/48 (/.f64 -1/2 (/.f64 b c))))
(+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (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)) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))))
(fma.f64 1/48 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 6)))) (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)) (.f64 a (pow.f64 b 7))) (fma.f64 1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b) (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -3) 4)))) -1/24))))
(fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -27))) 1/48 (fma.f64 -1/6 (/.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)) (.f64 a (pow.f64 b 7))) (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 9)) -1/24 (/.f64 (.f64 -1/2 c) b))))
(fma.f64 (/.f64 -1/6 (pow.f64 b 7)) (/.f64 (.f64 (.f64 (pow.f64 a 4) 81) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) a) (fma.f64 (.f64 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) 9) -1/24 (fma.f64 (.f64 (.f64 a (.f64 a -27)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 1/48 (/.f64 -1/2 (/.f64 b c)))))
(fma.f64 (/.f64 -1/6 (pow.f64 b 7)) (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) a) (fma.f64 (.f64 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) 9) -1/24 (fma.f64 (.f64 (.f64 a (.f64 a -27)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 1/48 (/.f64 -1/2 (/.f64 b c)))))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 b a) -2/3)
(/.f64 b (/.f64 a -2/3))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 b a) -2/3)
(/.f64 b (/.f64 a -2/3))

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	2.9b	(exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))
	0.6b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))
	0.5b	(.f64 c (.f64 a -3))
	0.4b	(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
	0.5b	(.f64 c (.f64 a -3))
	0.6b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))
✓	2.9b	(exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))
	11.2b	(sqrt.f64 (.f64 c (.f64 a -3)))

series6.0ms (0%)

Counts

1 → 14

Calls

9 calls:

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

rewrite61.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

662×	`prod-diff_binary64`
550×	`log-prod_binary64`
364×	`pow-prod-down_binary64`
293×	`pow2_binary64`
225×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	15
1	237	15
2	2898	15

Stop Event

1×	node limit

Counts

1 → 74

Calls

Call 1

Inputs
(exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))

Outputs

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

simplify65.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

736×	`associate-r_binary64`
671×	`unswap-sqr_binary64`
628×	`associate-l_binary64`
535×	`times-frac_binary64`
414×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	88	551
1	254	450
2	918	420
3	6158	408
4	7872	396

Stop Event

1×	node limit

Counts

88 → 98

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 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 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 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -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 -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 1/16 (/.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 (.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 -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 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 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 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 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 (.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 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))))))
(*.f64 2 b)
(*.f64 2 b)

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

eval334.0ms (1.6%)

Compiler: Compiled 17810 to 11816 computations (33.7% saved)

prune164.0ms (0.8%)

Pruning

39 alts after pruning (36 fresh and 3 done)

	Pruned	Kept	Total
New	740	19	759
Fresh	15	17	32
Picked	1	0	1
Done	2	3	5
Total	758	39	797

Error

0.0b

Counts

797 → 39

Alt Table

Click to see full alt table

Status	Error	Program
	55.8b	(exp.f64 (log.f64 (*.f64 -2/3 (/.f64 b a))))
✓	32.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	45.8b	(/.f64 (+.f64 (.f64 3/2 (.f64 (/.f64 c b) a)) (.f64 -2 b)) (.f64 3 a))
	44.6b	(/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a -3) (.f64 b b))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (.f64 3 a))
✓	30.1b	(.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	32.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (pow.f64 (cbrt.f64 (.f64 3 (.f64 a c))) 3)))) (.f64 3 a))
	39.8b	(*.f64 -1/2 (/.f64 c b))
	44.1b	(neg.f64 (.f64 (/.f64 1 a) (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b)) -3)))
	32.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (.f64 1/3 (/.f64 1 a)))
	45.8b	(/.f64 -2/3 (/.f64 a b))
▶	61.9b	(/.f64 (.f64 b 2) (.f64 3 a))
▶	44.1b	(.f64 1/3 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) a))
	45.9b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
	44.1b	(.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 1/3) (/.f64 1 a))
	45.8b	(*.f64 (/.f64 -2/3 a) b)
	53.9b	(neg.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b)) (/.f64 -1/3 a))) 2))
	61.9b	(neg.f64 (/.f64 b (/.f64 a -2/3)))
	62.1b	(neg.f64 (*.f64 -2/3 (/.f64 b a)))
	46.0b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
	55.2b	(*.f64 1/2 (/.f64 c b))
✓	45.8b	(*.f64 -2/3 (/.f64 b a))
	46.0b	(/.f64 (+.f64 (/.f64 (.f64 (.f64 c a) 3/2) b) (.f64 -2 b)) (.f64 3 a))
▶	30.2b	(.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b)) 2) (/.f64 1/3 a))
	46.7b	(.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -3)) (sqrt.f64 a))) b) (/.f64 1/3 a))
	42.4b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
	32.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) (.f64 3 a))
▶	45.8b	(/.f64 (*.f64 -2/3 b) a)
	32.4b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 a (.f64 c -3)) (.f64 b b))) b) (/.f64 1/3 a))
	46.0b	(/.f64 (+.f64 (/.f64 1 (/.f64 b (.f64 (.f64 c a) 3/2))) (.f64 -2 b)) (.f64 3 a))
	51.8b	(neg.f64 (/.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -3))))) (*.f64 a -3)))
	46.1b	(pow.f64 (cbrt.f64 (*.f64 -2/3 (/.f64 b a))) 3)
	46.0b	(/.f64 (/.f64 (*.f64 -2/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	43.9b	(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a))))
	44.3b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
	46.5b	(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
	62.4b	(/.f64 (exp.f64 (log.f64 (.f64 b 2))) (.f64 3 a))
	45.6b	(/.f64 (.f64 b -2) (.f64 3 a))
▶	45.9b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 -2/3 a) b))
	42.4b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))

Compiler

Compiled 1139 to 830 computations (27.1% saved)

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)) 2)
	0.2b	(.f64 a (.f64 c -3))
	0.2b	(.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b)) 2) (/.f64 1/3 a))
	0.0b	(sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b))
✓	0.3b	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)) 2)
	0.4b	(/.f64 1/3 a)
	0.9b	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)
	11.2b	(sqrt.f64 (.f64 a (.f64 c -3)))

series43.0ms (0.2%)

Counts

1 → 4

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	c	@	inf	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)) 2)
6.0ms	c	@	0	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)) 2)
6.0ms	c	@	-inf	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)) 2)
6.0ms	b	@	0	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)) 2)
5.0ms	a	@	inf	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)) 2)

rewrite72.0ms (0.3%)

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	15
1	278	15
2	3130	15

Stop Event

1×	node limit

Counts

1 → 105

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-neg_binary64`
380×	`distribute-rgt-neg-in_binary64`
312×	`*-commutative_binary64`
238×	`associate-+l+_binary64`
222×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	164
1	120	155
2	374	155
3	1808	135
4	5888	129

Stop Event

1×	node limit

Counts

109 → 111

Calls

Call 1

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

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

localize3.0ms (0%)

Local error

Found 4 expressions with local error:

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

series3.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite46.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

685×	`pow1_binary64`
640×	`add-log-exp_binary64`
640×	`log1p-expm1-u_binary64`
640×	`expm1-log1p-u_binary64`
627×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	127	11
2	1679	11

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

76 → 52

Calls

Call 1

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

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

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.5b	(/.f64 (.f64 b 2) (.f64 3 a))
✓	0.5b	(/.f64 (.f64 b 2) (.f64 3 a))

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`pow1_binary64`
852×	`add-log-exp_binary64`
851×	`log1p-expm1-u_binary64`
851×	`expm1-log1p-u_binary64`
838×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	173	7
2	2271	7

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

76 → 53

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 6 expressions with local error:

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

series7.0ms (0%)

Counts

3 → 60

Calls

18 calls:

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

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`log-prod_binary64`
399×	`exp-prod_binary64`
281×	`pow-prod-down_binary64`
277×	`pow2_binary64`
213×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	215	25
2	2685	25

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

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

Outputs

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

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

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

simplify23.0ms (0.1%)

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

localize9.0ms (0%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.6b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))
	0.5b	(.f64 c (.f64 a -3))
	0.2b	(.f64 1/3 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) a))
	0.1b	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) a)
✓	0.2b	(.f64 1/3 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) a))
	0.5b	(.f64 c (.f64 a -3))
	0.6b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))
	11.2b	(sqrt.f64 (.f64 c (.f64 a -3)))

series10.0ms (0%)

Counts

1 → 14

Calls

9 calls:

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

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

699×	`log-prod_binary64`
680×	`prod-diff_binary64`
249×	`expm1-udef_binary64`
249×	`log1p-udef_binary64`
239×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	282	21
2	3691	21

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

695×	`unswap-sqr_binary64`
677×	`associate-r_binary64`
617×	`associate-l_binary64`
438×	`times-frac_binary64`
320×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	563
1	275	453
2	970	430
3	5700	418
4	7386	418

Stop Event

1×	node limit

Counts

40 → 50

Calls

Call 1

Inputs
(.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 2/3 (/.f64 b a))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (+.f64 (.f64 1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (.f64 2/3 (/.f64 b a)) (+.f64 (.f64 1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))))
(.f64 -1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b))
(+.f64 (.f64 -1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 1/24 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))
(+.f64 (.f64 -1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (.f64 -1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(+.f64 (.f64 -1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (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)) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 -1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))

Outputs
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(.f64 (.f64 1/3 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -3))
(.f64 (sqrt.f64 -3) (.f64 1/3 (sqrt.f64 (/.f64 c a))))
(.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))))
(.f64 1/3 (+.f64 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(.f64 1/3 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)) (/.f64 b a)))
(*.f64 1/3 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3) (/.f64 b a)))
(+.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)))))
(fma.f64 1/6 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (.f64 1/3 (+.f64 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/3 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)) (/.f64 b a)) (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 b (/.f64 (sqrt.f64 -3) b)))))
(fma.f64 1/3 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3) (/.f64 b a)) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 1/6 (.f64 (/.f64 b (sqrt.f64 -3)) b))))
(+.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))))))
(fma.f64 -1/24 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 1/6 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (.f64 1/3 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))))
(fma.f64 -1/24 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -3) -3))) (fma.f64 1/3 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)) (/.f64 b a)) (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 b (/.f64 (sqrt.f64 -3) b))))))
(fma.f64 1/3 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3) (/.f64 b a)) (fma.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) 1/72)))
(*.f64 2/3 (/.f64 b a))
(*.f64 (/.f64 b a) 2/3)
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2)))))
(fma.f64 (/.f64 b a) 2/3 (/.f64 (*.f64 -1/2 c) b))
(fma.f64 (/.f64 b a) 2/3 (*.f64 (/.f64 c b) -1/2))
(+.f64 (.f64 2/3 (/.f64 b a)) (+.f64 (.f64 1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(fma.f64 2/3 (/.f64 b a) (fma.f64 1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (.f64 -1/24 (/.f64 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 3)))))
(fma.f64 (/.f64 b a) 2/3 (fma.f64 -1/24 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 9)) (/.f64 (.f64 -1/2 c) b)))
(+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 -3/8 a)) (fma.f64 (/.f64 b a) 2/3 (*.f64 (/.f64 c b) -1/2)))
(+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (.f64 2/3 (/.f64 b a)) (+.f64 (.f64 1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))))
(fma.f64 1/48 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 2/3 (/.f64 b a) (fma.f64 1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (.f64 -1/24 (/.f64 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 3))))))
(fma.f64 1/48 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -27))) (fma.f64 (/.f64 b a) 2/3 (fma.f64 -1/24 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 9)) (/.f64 (*.f64 -1/2 c) b))))
(+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 -3/8 a)) (+.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 -9/16 (.f64 a a))) (fma.f64 (/.f64 b a) 2/3 (.f64 (/.f64 c b) -1/2))))
(.f64 -1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b))
(*.f64 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) -1/6)
(/.f64 (*.f64 1/2 c) b)
(*.f64 (/.f64 c b) 1/2)
(+.f64 (.f64 -1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 1/24 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))
(fma.f64 -1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (.f64 (/.f64 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 3)) 1/24))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 9)) 1/24 (/.f64 (.f64 1/2 c) b))
(+.f64 (.f64 (/.f64 c b) 1/2) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 3/8 a)))
(+.f64 (.f64 -1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (.f64 -1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(fma.f64 -1/48 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 -1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (.f64 (/.f64 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 3)) 1/24)))
(fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -27))) -1/48 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 9)) 1/24 (/.f64 (*.f64 1/2 c) b)))
(+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 3/8 a)) (+.f64 (.f64 (/.f64 c b) 1/2) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 9/16 (.f64 a a)))))
(+.f64 (.f64 -1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (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)) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 -1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))))
(fma.f64 -1/48 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 1/6 (/.f64 (fma.f64 1/16 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -3) 8)) (pow.f64 (.f64 (.f64 -1/8 (.f64 c c)) (.f64 (pow.f64 (sqrt.f64 -3) 4) (.f64 a a))) 2)) (.f64 a (pow.f64 b 7))) (fma.f64 -1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (.f64 (/.f64 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 3)) 1/24))))
(fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -27))) -1/48 (fma.f64 1/6 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 81/16) (pow.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -9/8) 2)) (.f64 a (pow.f64 b 7))) (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 9)) 1/24 (/.f64 (.f64 1/2 c) b))))
(+.f64 (.f64 (/.f64 c b) 1/2) (+.f64 (fma.f64 1/6 (/.f64 (.f64 (.f64 (pow.f64 a 4) 81) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (.f64 a (pow.f64 b 7))) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 3/8 a))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 9/16 (*.f64 a a)))))
(+.f64 (+.f64 (.f64 (/.f64 c b) 1/2) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 3/8 a))) (fma.f64 (/.f64 1/6 a) (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (pow.f64 b 7)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 9/16 (.f64 a a)))))
(+.f64 (.f64 (/.f64 c b) 1/2) (+.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 9/16 (.f64 a a))) (fma.f64 1/6 (/.f64 (.f64 (pow.f64 a 4) (.f64 (pow.f64 c 4) 405/64)) (.f64 a (pow.f64 b 7))) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 3/8 a)))))
(*.f64 2/3 (/.f64 b a))
(*.f64 (/.f64 b a) 2/3)
(*.f64 2/3 (/.f64 b a))
(*.f64 (/.f64 b a) 2/3)

eval291.0ms (1.4%)

Compiler: Compiled 14668 to 9603 computations (34.5% saved)

prune156.0ms (0.7%)

Pruning

54 alts after pruning (48 fresh and 6 done)

	Pruned	Kept	Total
New	647	28	675
Fresh	11	20	31
Picked	1	0	1
Done	1	6	7
Total	660	54	714

Error

0.0b

Counts

714 → 54

Alt Table

Click to see full alt table

Status	Error	Program
	45.8b	(/.f64 (+.f64 (.f64 3/2 (.f64 (/.f64 c b) a)) (.f64 -2 b)) (.f64 3 a))
	46.1b	(pow.f64 (cbrt.f64 (*.f64 -2/3 (/.f64 b a))) 3)
	45.8b	(.f64 (.f64 b 2/3) (/.f64 1 (neg.f64 a)))
✓	30.1b	(.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	32.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (pow.f64 (cbrt.f64 (.f64 3 (.f64 a c))) 3)))) (.f64 3 a))
	44.4b	(/.f64 (/.f64 (.f64 1/3 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	39.8b	(*.f64 -1/2 (/.f64 c b))
	45.8b	(/.f64 -2/3 (/.f64 a b))
	62.8b	(exp.f64 (log.f64 (*.f64 2/3 (/.f64 b a))))
	46.8b	(.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -3)) (sqrt.f64 a))) b)) 2) (/.f64 1/3 a))
	62.1b	(*.f64 (/.f64 b 3/2) (/.f64 1 a))
✓	61.9b	(/.f64 (.f64 b 2) (.f64 3 a))
▶	53.0b	(/.f64 (sqrt.f64 (.f64 (.f64 b b) 4/9)) a)
	46.5b	(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
	62.8b	(log1p.f64 (expm1.f64 (*.f64 2/3 (/.f64 b a))))
	60.9b	(-.f64 (+.f64 1 (*.f64 2/3 (/.f64 b a))) 1)
	62.4b	(/.f64 (exp.f64 (log.f64 (.f64 b 2))) (.f64 3 a))
	62.1b	(*.f64 (/.f64 2/3 a) b)
	42.6b	(.f64 (/.f64 (-.f64 (fma.f64 (.f64 a -3) c (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))))) (/.f64 1/3 a))
	46.7b	(.f64 (pow.f64 (sqrt.f64 (.f64 b -2)) 2) (/.f64 1/3 a))
	44.1b	(.f64 1/3 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -3 (*.f64 c a))))) a))
▶	61.9b	(.f64 (.f64 b -2) (/.f64 1 (*.f64 a -3)))
✓	45.9b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 -2/3 a) b))
	44.1b	(.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 1/3) (/.f64 1 a))
	45.8b	(*.f64 (/.f64 -2/3 a) b)
	61.9b	(neg.f64 (/.f64 b (/.f64 a -2/3)))
	62.1b	(pow.f64 (/.f64 a (/.f64 b 3/2)) -1)
	45.8b	(.f64 b (.f64 -2/3 (pow.f64 a -1)))
✓	45.8b	(*.f64 -2/3 (/.f64 b a))
	62.1b	(*.f64 (/.f64 b a) 2/3)
	46.7b	(.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -3)) (sqrt.f64 a))) b) (/.f64 1/3 a))
	48.3b	(.f64 1/3 (/.f64 (+.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (.f64 c (*.f64 a -3)) 3/2)))) a))
	45.8b	(*.f64 -2/3 (/.f64 1 (/.f64 a b)))
	62.1b	(pow.f64 (cbrt.f64 (*.f64 2/3 (/.f64 b a))) 3)
	46.0b	(/.f64 (+.f64 (/.f64 (.f64 (.f64 c a) 3/2) b) (.f64 -2 b)) (.f64 3 a))
	46.0b	(*.f64 (/.f64 -2/3 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b (cbrt.f64 a)))
	42.4b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
▶	32.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) (.f64 3 a))
✓	45.8b	(/.f64 (*.f64 -2/3 b) a)
	32.4b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 a (.f64 c -3)) (.f64 b b))) b) (/.f64 1/3 a))
▶	55.2b	(*.f64 1/2 (/.f64 c b))
	46.0b	(/.f64 (+.f64 (/.f64 1 (/.f64 b (.f64 (.f64 c a) 3/2))) (.f64 -2 b)) (.f64 3 a))
	51.8b	(neg.f64 (/.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -3))))) (*.f64 a -3)))
	45.9b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
	55.5b	(.f64 1/3 (/.f64 (.f64 (/.f64 -1/2 (/.f64 b c)) (*.f64 a -3)) a))
	45.8b	(pow.f64 (*.f64 -3/2 (/.f64 a b)) -1)
	47.9b	(/.f64 (exp.f64 (log.f64 (*.f64 -2/3 b))) a)
▶	43.9b	(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a))))
	44.3b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
✓	32.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	45.6b	(/.f64 (.f64 b -2) (.f64 3 a))
	49.3b	(/.f64 (-.f64 (+.f64 1 (*.f64 -2/3 b)) 1) a)
	42.4b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	51.8b	(.f64 1/3 (/.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -3))))) a))

Compiler

Compiled 1422 to 1061 computations (25.4% saved)

localize10.0ms (0%)

Local error

Found 8 expressions with local error:

New	Error	Program
	1.2b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 c a)))))
	0.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) (.f64 3 a))
	0.2b	(-.f64 (.f64 b b) (.f64 3 (*.f64 c a)))
	0.2b	(.f64 3 (.f64 c a))
✓	0.2b	(-.f64 (.f64 b b) (.f64 3 (*.f64 c a)))
✓	0.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) (.f64 3 a))
✓	1.2b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 c a)))))
✓	21.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 c a))))

series14.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

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

rewrite109.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

803×	`log-prod_binary64`
729×	`fma-def_binary64`
369×	`fma-neg_binary64`
267×	`expm1-udef_binary64`
267×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	74
1	324	62
2	4761	59

Stop Event

1×	node limit

Counts

4 → 334

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 a -3) c))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))) (cbrt.f64 (fma.f64 b b (.f64 (.f64 a -3) c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a -3) c)) 1/4) (pow.f64 (fma.f64 b b (.f64 (.f64 a -3) c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 a -3) c))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 a -3) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 a -3) c))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 a -3) c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 6) (.f64 (pow.f64 (.f64 c a) 3) 27))) (sqrt.f64 (fma.f64 (.f64 3 (.f64 c a)) (fma.f64 b b (.f64 3 (.f64 c a))) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (.f64 (pow.f64 (.f64 c a) 2) 9))) (hypot.f64 b (sqrt.f64 (.f64 3 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (.f64 (.f64 a -3) c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a -3) c)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a -3) c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a -3) c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))) (sqrt.f64 (fma.f64 (.f64 c a) -3 (.f64 3 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 (.f64 c a) -3 (.f64 3 (.f64 c a)))) (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (.f64 (.f64 a -3) c)) b)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 (.f64 a -3) c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a -3) c)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))) b)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))) (/.f64 (fma.f64 b b (.f64 (.f64 a -3) c)) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))) 0) b)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))) 2) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 (.f64 a -3) c)) 3/2)) (/.f64 1 (fma.f64 b b (fma.f64 b b (fma.f64 (.f64 c a) -3 (.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 3 (.f64 c a))) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b b (fma.f64 b b (fma.f64 (.f64 c a) -3 (.f64 b (hypot.f64 b (sqrt.f64 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sqrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 a -3) c))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (cbrt.f64 b)) (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))) (cbrt.f64 (fma.f64 b b (.f64 (.f64 a -3) c))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a -3) c)) 1/4) (pow.f64 (fma.f64 b b (.f64 (.f64 a -3) c)) 1/4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 a -3) c))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 a -3) c)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 a -3) c))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 a -3) c))) 1/2) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 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simplify90.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

895×	`fma-def_binary64`
661×	`associate-/l*_binary64`
592×	`associate-/r*_binary64`
466×	`unswap-sqr_binary64`
435×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	2478
1	581	2399
2	2092	2321
3	7337	2321

Stop Event

1×	node limit

Counts

430 → 415

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 -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 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 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 -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)))

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

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

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

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite39.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1609	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize5.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(/.f64 1 (*.f64 a -3))
	0.2b	(.f64 (.f64 b -2) (/.f64 1 (*.f64 a -3)))
✓	0.2b	(.f64 (.f64 b -2) (/.f64 1 (*.f64 a -3)))
✓	0.5b	(/.f64 1 (*.f64 a -3))

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

929×	`pow1_binary64`
864×	`add-log-exp_binary64`
863×	`log1p-expm1-u_binary64`
863×	`expm1-log1p-u_binary64`
848×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	206	11
2	2445	11

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	216
1	11	216
2	15	216
3	19	216
4	20	216

Stop Event

1×

saturated

Counts

88 → 55

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 6 expressions with local error:

New	Error	Program
	27.4b	(sqrt.f64 (.f64 (.f64 b b) 4/9))
	0.2b	(/.f64 (sqrt.f64 (.f64 (.f64 b b) 4/9)) a)
	0.2b	(.f64 (.f64 b b) 4/9)
✓	0.2b	(.f64 (.f64 b b) 4/9)
✓	0.2b	(/.f64 (sqrt.f64 (.f64 (.f64 b b) 4/9)) a)
✓	27.4b	(sqrt.f64 (.f64 (.f64 b b) 4/9))

series4.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(sqrt.f64 (.f64 (.f64 b b) 4/9))
0.0ms	b	@	inf	(.f64 (.f64 b b) 4/9)
0.0ms	b	@	0	(.f64 (.f64 b b) 4/9)
0.0ms	a	@	-inf	(/.f64 (sqrt.f64 (.f64 (.f64 b b) 4/9)) a)
0.0ms	b	@	inf	(sqrt.f64 (.f64 (.f64 b b) 4/9))

rewrite51.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`pow1_binary64`
754×	`add-log-exp_binary64`
754×	`log1p-expm1-u_binary64`
754×	`expm1-log1p-u_binary64`
736×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	169	18
2	2094	18

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (.f64 b b) 4/9))
(/.f64 (sqrt.f64 (.f64 (.f64 b b) 4/9)) a)
(.f64 (.f64 b b) 4/9)

Outputs

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

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

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

simplify97.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

975×	`associate-*l/_binary64`
729×	`*-commutative_binary64`
605×	`associate-*r/_binary64`
498×	`associate-/r/_binary64`
480×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	300
1	26	300
2	44	300
3	84	300
4	200	300
5	639	300
6	1232	300
7	3082	300
8	4049	300
9	4182	300
10	4360	300
11	4603	300
12	4944	300
13	5314	300
14	7242	300
15	7830	300

Stop Event

1×	node limit

Counts

121 → 81

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	15.0b	(.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a)))
	3.9b	(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a))))
	0.6b	(/.f64 -3/8 (pow.f64 b 3))
	0.1b	(.f64 c (.f64 c a))
✓	0.1b	(.f64 c (.f64 c a))
✓	0.6b	(/.f64 -3/8 (pow.f64 b 3))
✓	3.9b	(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a))))
✓	15.0b	(.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a)))

series16.0ms (0.1%)

Counts

4 → 96

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a)))
2.0ms	c	@	0	(.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a)))
1.0ms	a	@	0	(.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a)))
1.0ms	c	@	inf	(.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a)))
1.0ms	a	@	inf	(.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a)))

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

745×	`log-prod_binary64`
374×	`pow2_binary64`
321×	`prod-diff_binary64`
265×	`pow1/3_binary64`
261×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	53
1	307	53
2	3755	53

Stop Event

1×	node limit

Counts

4 → 107

Calls

Call 1

Inputs
(.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a))))
(/.f64 -3/8 (pow.f64 b 3))
(.f64 c (.f64 c a))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3))) (/.f64 -1/2 (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 (/.f64 b c)) (.f64 -3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (/.f64 -1/2 (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 -1/2 (/.f64 b c)) 1) (.f64 -3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (/.f64 -1/2 (/.f64 b c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (/.f64 -1/2 (/.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (/.f64 -1/2 (/.f64 b c)))))) (log.f64 (sqrt.f64 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1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (/.f64 -1/2 (/.f64 b c))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (/.f64 -1/2 (/.f64 b c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (/.f64 -1/2 (/.f64 b c)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (/.f64 -1/2 (/.f64 b c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (/.f64 -1/2 (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) (/.f64 -1/2 (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 -3/8) (pow.f64 b -3)) 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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -3/8 (/.f64 (.f64 c (*.f64 c a)) (pow.f64 b 3)) (/.f64 -1/2 (/.f64 b c)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -3/8 (pow.f64 b -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -3/8) (pow.f64 b -3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -3/8) (pow.f64 b -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -3/8) (pow.f64 b -3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -3/8) (pow.f64 b -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -3/8 (pow.f64 b -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -3/8 (pow.f64 b -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -3/8 (pow.f64 b -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 -3/8 (pow.f64 b -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 -3/8) b) (pow.f64 (/.f64 (cbrt.f64 -3/8) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (cbrt.f64 -3/8) b) 2) (/.f64 (cbrt.f64 -3/8) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 -3/8) (pow.f64 b 3/2)) (/.f64 (sqrt.f64 -3/8) (pow.f64 b 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3/8 (/.f64 1 (neg.f64 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 b -3) -3/8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -3/8 (pow.f64 b -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 -3/8 (pow.f64 b -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 -3/8) b) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -3/8) (pow.f64 b 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 b 3) -8/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (pow.f64 b 3) -8/3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 9/64 (pow.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -3/8) (pow.f64 b -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -3/8 (pow.f64 b -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 -3/8 (pow.f64 b -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -3/8 (pow.f64 b -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -3/8 (pow.f64 b -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 -3/8 (pow.f64 b -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -3/8 (pow.f64 b -3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 c (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) c) c)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) c) c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) c) c))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) c) c))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 c (.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 c (.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 c (.f64 c a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 c (.f64 c a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 c (sqrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 c 3) (pow.f64 (.f64 c a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 c a) 3) (pow.f64 c 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 c (.f64 c a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) c) c))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 c (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 c (.f64 c a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 c 3) (pow.f64 (.f64 c a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 c a) 3) (pow.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 c (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 c (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 c (.f64 c a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 c (.f64 c a))))))))

simplify116.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1191×	`associate-*l/_binary64`
1001×	`associate-/l/_binary64`
858×	`associate-/r/_binary64`
783×	`unswap-sqr_binary64`
380×	`*-commutative_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	16	1473
1	39	1473
2	112	1473
3	453	1473
4	2566	1446
5	3068	1392
6	3278	1392
7	3869	1392
8	4829	1392
9	5008	1392

Stop Event

1×	node limit

Counts

203 → 115

Calls

Call 1

Inputs
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.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 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.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 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.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 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.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 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(*.f64 (pow.f64 c 2) a)
(*.f64 (pow.f64 c 2) a)
(*.f64 (pow.f64 c 2) a)
(*.f64 (pow.f64 c 2) a)
(*.f64 (pow.f64 c 2) a)
(*.f64 (pow.f64 c 2) a)
(*.f64 (pow.f64 c 2) a)
(*.f64 (pow.f64 c 2) a)
(*.f64 (pow.f64 c 2) a)
(*.f64 (pow.f64 c 2) a)
(*.f64 (pow.f64 c 2) a)
(*.f64 (pow.f64 c 2) a)
(*.f64 (pow.f64 c 2) a)
(*.f64 (pow.f64 c 2) a)
(*.f64 (pow.f64 c 2) a)
(*.f64 (pow.f64 c 2) a)
(*.f64 (pow.f64 c 2) a)
(*.f64 (pow.f64 c 2) a)
(*.f64 (pow.f64 c 2) a)
(*.f64 (pow.f64 c 2) a)
(*.f64 (pow.f64 c 2) a)
(*.f64 (pow.f64 c 2) a)
(*.f64 (pow.f64 c 2) a)
(*.f64 (pow.f64 c 2) a)

Outputs
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))
(.f64 -3/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(/.f64 (.f64 c (.f64 (*.f64 c a) -3/8)) (pow.f64 b 3))
(.f64 a (/.f64 -3/8 (/.f64 (pow.f64 b 3) (.f64 c c))))
(.f64 (.f64 c c) (/.f64 (*.f64 -3/8 a) (pow.f64 b 3)))
(.f64 (.f64 c (*.f64 c a)) (/.f64 -3/8 (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))
(.f64 -3/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(/.f64 (.f64 c (.f64 (*.f64 c a) -3/8)) (pow.f64 b 3))
(.f64 a (/.f64 -3/8 (/.f64 (pow.f64 b 3) (.f64 c c))))
(.f64 (.f64 c c) (/.f64 (*.f64 -3/8 a) (pow.f64 b 3)))
(.f64 (.f64 c (*.f64 c a)) (/.f64 -3/8 (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))
(.f64 -3/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(/.f64 (.f64 c (.f64 (*.f64 c a) -3/8)) (pow.f64 b 3))
(.f64 a (/.f64 -3/8 (/.f64 (pow.f64 b 3) (.f64 c c))))
(.f64 (.f64 c c) (/.f64 (*.f64 -3/8 a) (pow.f64 b 3)))
(.f64 (.f64 c (*.f64 c a)) (/.f64 -3/8 (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))
(.f64 -3/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(/.f64 (.f64 c (.f64 (*.f64 c a) -3/8)) (pow.f64 b 3))
(.f64 a (/.f64 -3/8 (/.f64 (pow.f64 b 3) (.f64 c c))))
(.f64 (.f64 c c) (/.f64 (*.f64 -3/8 a) (pow.f64 b 3)))
(.f64 (.f64 c (*.f64 c a)) (/.f64 -3/8 (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))
(.f64 -3/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(/.f64 (.f64 c (.f64 (*.f64 c a) -3/8)) (pow.f64 b 3))
(.f64 a (/.f64 -3/8 (/.f64 (pow.f64 b 3) (.f64 c c))))
(.f64 (.f64 c c) (/.f64 (*.f64 -3/8 a) (pow.f64 b 3)))
(.f64 (.f64 c (*.f64 c a)) (/.f64 -3/8 (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))
(.f64 -3/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(/.f64 (.f64 c (.f64 (*.f64 c a) -3/8)) (pow.f64 b 3))
(.f64 a (/.f64 -3/8 (/.f64 (pow.f64 b 3) (.f64 c c))))
(.f64 (.f64 c c) (/.f64 (*.f64 -3/8 a) (pow.f64 b 3)))
(.f64 (.f64 c (*.f64 c a)) (/.f64 -3/8 (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))
(.f64 -3/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(/.f64 (.f64 c (.f64 (*.f64 c a) -3/8)) (pow.f64 b 3))
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(.f64 (.f64 c c) (/.f64 (*.f64 -3/8 a) (pow.f64 b 3)))
(.f64 (.f64 c (*.f64 c a)) (/.f64 -3/8 (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))
(.f64 -3/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(/.f64 (.f64 c (.f64 (*.f64 c a) -3/8)) (pow.f64 b 3))
(.f64 a (/.f64 -3/8 (/.f64 (pow.f64 b 3) (.f64 c c))))
(.f64 (.f64 c c) (/.f64 (*.f64 -3/8 a) (pow.f64 b 3)))
(.f64 (.f64 c (*.f64 c a)) (/.f64 -3/8 (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))
(.f64 -3/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(/.f64 (.f64 c (.f64 (*.f64 c a) -3/8)) (pow.f64 b 3))
(.f64 a (/.f64 -3/8 (/.f64 (pow.f64 b 3) (.f64 c c))))
(.f64 (.f64 c c) (/.f64 (*.f64 -3/8 a) (pow.f64 b 3)))
(.f64 (.f64 c (*.f64 c a)) (/.f64 -3/8 (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))
(.f64 -3/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(/.f64 (.f64 c (.f64 (*.f64 c a) -3/8)) (pow.f64 b 3))
(.f64 a (/.f64 -3/8 (/.f64 (pow.f64 b 3) (.f64 c c))))
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(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))
(.f64 -3/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(/.f64 (.f64 c (.f64 (*.f64 c a) -3/8)) (pow.f64 b 3))
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(.f64 (.f64 c c) (/.f64 (*.f64 -3/8 a) (pow.f64 b 3)))
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(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))
(.f64 -3/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(/.f64 (.f64 c (.f64 (*.f64 c a) -3/8)) (pow.f64 b 3))
(.f64 a (/.f64 -3/8 (/.f64 (pow.f64 b 3) (.f64 c c))))
(.f64 (.f64 c c) (/.f64 (*.f64 -3/8 a) (pow.f64 b 3)))
(.f64 (.f64 c (*.f64 c a)) (/.f64 -3/8 (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
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(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
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(.f64 -3/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(/.f64 (.f64 c (.f64 (*.f64 c a) -3/8)) (pow.f64 b 3))
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(.f64 (.f64 c (*.f64 c a)) (/.f64 -3/8 (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))
(.f64 -3/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
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(.f64 -3/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(/.f64 (.f64 c (.f64 (*.f64 c a) -3/8)) (pow.f64 b 3))
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(.f64 (.f64 c c) (/.f64 (*.f64 -3/8 a) (pow.f64 b 3)))
(.f64 (.f64 c (*.f64 c a)) (/.f64 -3/8 (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))
(.f64 -3/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(/.f64 (.f64 c (.f64 (*.f64 c a) -3/8)) (pow.f64 b 3))
(.f64 a (/.f64 -3/8 (/.f64 (pow.f64 b 3) (.f64 c c))))
(.f64 (.f64 c c) (/.f64 (*.f64 -3/8 a) (pow.f64 b 3)))
(.f64 (.f64 c (*.f64 c a)) (/.f64 -3/8 (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))
(.f64 -3/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(/.f64 (.f64 c (.f64 (*.f64 c a) -3/8)) (pow.f64 b 3))
(.f64 a (/.f64 -3/8 (/.f64 (pow.f64 b 3) (.f64 c c))))
(.f64 (.f64 c c) (/.f64 (*.f64 -3/8 a) (pow.f64 b 3)))
(.f64 (.f64 c (*.f64 c a)) (/.f64 -3/8 (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
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(.f64 (.f64 c (*.f64 c a)) (/.f64 -3/8 (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))
(.f64 -3/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(/.f64 (.f64 c (.f64 (*.f64 c a) -3/8)) (pow.f64 b 3))
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(.f64 -3/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
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(.f64 a (/.f64 -3/8 (/.f64 (pow.f64 b 3) (.f64 c c))))
(.f64 (.f64 c c) (/.f64 (*.f64 -3/8 a) (pow.f64 b 3)))
(.f64 (.f64 c (*.f64 c a)) (/.f64 -3/8 (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
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(.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))
(.f64 -3/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(/.f64 (.f64 c (.f64 (*.f64 c a) -3/8)) (pow.f64 b 3))
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(*.f64 (pow.f64 c 2) a)
(.f64 (.f64 c c) a)
(.f64 c (.f64 c a))
(*.f64 (pow.f64 c 2) a)
(.f64 (.f64 c c) a)
(.f64 c (.f64 c a))
(*.f64 (pow.f64 c 2) a)
(.f64 (.f64 c c) a)
(.f64 c (.f64 c a))
(*.f64 (pow.f64 c 2) a)
(.f64 (.f64 c c) a)
(.f64 c (.f64 c a))

eval396.0ms (1.9%)

Compiler: Compiled 15739 to 9511 computations (39.6% saved)

prune148.0ms (0.7%)

Pruning

60 alts after pruning (52 fresh and 8 done)

	Pruned	Kept	Total
New	664	22	686
Fresh	13	30	43
Picked	1	0	1
Done	2	8	10
Total	680	60	740

Error

0.0b

Counts

740 → 60

Alt Table

Click to see full alt table

Status	Error	Program
	45.8b	(/.f64 (+.f64 (.f64 3/2 (.f64 (/.f64 c b) a)) (.f64 -2 b)) (.f64 3 a))
	45.8b	(*.f64 b (/.f64 -2/3 a))
	46.1b	(pow.f64 (cbrt.f64 (*.f64 -2/3 (/.f64 b a))) 3)
	45.8b	(.f64 (.f64 b 2/3) (/.f64 1 (neg.f64 a)))
✓	30.1b	(.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	62.1b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 b a) 2/3)) 3)
	32.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (pow.f64 (cbrt.f64 (.f64 3 (.f64 a c))) 3)))) (.f64 3 a))
	61.9b	(/.f64 -2 (/.f64 (*.f64 a -3) b))
	44.4b	(/.f64 (/.f64 (.f64 1/3 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	45.8b	(/.f64 -2/3 (/.f64 a b))
	46.8b	(.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -3)) (sqrt.f64 a))) b)) 2) (/.f64 1/3 a))
	62.1b	(*.f64 b (/.f64 2/3 a))
	62.1b	(*.f64 (/.f64 b 3/2) (/.f64 1 a))
✓	53.0b	(/.f64 (sqrt.f64 (.f64 (.f64 b b) 4/9)) a)
	62.6b	(exp.f64 (log.f64 (/.f64 b (/.f64 a 2/3))))
	62.1b	(*.f64 2/3 (/.f64 b a))
	46.5b	(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
	42.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
	46.7b	(.f64 (pow.f64 (sqrt.f64 (.f64 b -2)) 2) (/.f64 1/3 a))
	62.1b	(/.f64 (.f64 (.f64 b -2) (/.f64 1 a)) -3)
	60.9b	(-.f64 (+.f64 1 (*.f64 (/.f64 b a) 2/3)) 1)
	42.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
	45.6b	(/.f64 (.f64 b -2) (.f64 3 a))
	62.6b	(/.f64 (exp.f64 (log.f64 (*.f64 b 2/3))) a)
	44.1b	(.f64 1/3 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -3 (*.f64 c a))))) a))
	63.1b	(.f64 (.f64 b -2) (exp.f64 (log.f64 (/.f64 -1/3 a))))
✓	61.9b	(.f64 (.f64 b -2) (/.f64 1 (*.f64 a -3)))
✓	45.9b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 -2/3 a) b))
	61.9b	(neg.f64 (/.f64 b (/.f64 a -2/3)))
	39.8b	(*.f64 (/.f64 -1/2 b) c)
	44.0b	(+.f64 (.f64 -3/8 (/.f64 (.f64 c (*.f64 c a)) (pow.f64 b 3))) (/.f64 -1/2 (/.f64 b c)))
✓	45.8b	(*.f64 -2/3 (/.f64 b a))
	45.8b	(.f64 b (.f64 -2/3 (pow.f64 a -1)))
	39.8b	(*.f64 -1/2 (/.f64 c b))
	46.7b	(.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -3)) (sqrt.f64 a))) b) (/.f64 1/3 a))
	48.3b	(.f64 1/3 (/.f64 (+.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (.f64 c (*.f64 a -3)) 3/2)))) a))
	45.8b	(*.f64 -2/3 (/.f64 1 (/.f64 a b)))
	62.1b	(/.f64 (/.f64 (*.f64 b -2) a) -3)
	46.0b	(/.f64 (+.f64 (/.f64 (.f64 (.f64 c a) 3/2) b) (.f64 -2 b)) (.f64 3 a))
	55.2b	(/.f64 (/.f64 (*.f64 1/2 c) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
	46.0b	(*.f64 (/.f64 -2/3 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b (cbrt.f64 a)))
	42.4b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
✓	32.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) (.f64 3 a))
✓	45.8b	(/.f64 (*.f64 -2/3 b) a)
	32.4b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 a (.f64 c -3)) (.f64 b b))) b) (/.f64 1/3 a))
	44.1b	(.f64 (/.f64 1 a) (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c)))) 1/3))
	46.0b	(/.f64 (+.f64 (/.f64 1 (/.f64 b (.f64 (.f64 c a) 3/2))) (.f64 -2 b)) (.f64 3 a))
	62.1b	(/.f64 (*.f64 b 2/3) a)
✓	55.2b	(*.f64 1/2 (/.f64 c b))
	62.1b	(/.f64 (/.f64 (*.f64 b -2) -3) a)
	42.5b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 (.f64 a -3) c)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a -3) c))))) (.f64 3 a))
	51.8b	(neg.f64 (/.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -3))))) (*.f64 a -3)))
	55.5b	(.f64 1/3 (/.f64 (.f64 (/.f64 -1/2 (/.f64 b c)) (*.f64 a -3)) a))
	45.8b	(pow.f64 (*.f64 -3/2 (/.f64 a b)) -1)
	47.9b	(/.f64 (exp.f64 (log.f64 (*.f64 -2/3 b))) a)
	44.3b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
	45.9b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
	49.3b	(/.f64 (-.f64 (+.f64 1 (*.f64 -2/3 b)) 1) a)
	42.4b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	51.8b	(.f64 1/3 (/.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -3))))) a))

Compiler

Compiled 814 to 610 computations (25.1% saved)

regimes2.6s (12.3%)

Counts

108 → 5

Calls

Call 1

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

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

Calls

6 calls:

692.0ms	c
596.0ms	(*.f64 3 a)
391.0ms	a
337.0ms	b
315.0ms	(*.f64 3 a)

Results

Error	Segments	Branch
24.4b	6	`a`
8.9b	5	`b`
22.1b	9	`c`
11.5b	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
24.4b	6	`(*.f64 3 a)`
24.4b	6	`(*.f64 3 a)`

Compiler

Compiled 1365 to 859 computations (37.1% saved)

bsearch508.0ms (2.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
148.0ms	3.554664853536664e-45	6.44785962932452e-32
139.0ms	4.58629793314864e-69	6.310787641220656e-66
70.0ms	5.496386128213255e-157	4.298797691520021e-142
151.0ms	-9.611025616614385e+115	-8.55541224004272e+110

Compiler

Compiled 1118 to 815 computations (27.1% saved)

regimes1.6s (7.7%)

Counts

75 → 5

Calls

Call 1

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

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

Calls

6 calls:

476.0ms	a
320.0ms	(*.f64 3 a)
305.0ms	(*.f64 3 a)
206.0ms	b
175.0ms	c

Results

Error	Segments	Branch
24.1b	8	`a`
8.9b	5	`b`
25.6b	5	`c`
11.5b	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
24.1b	8	`(*.f64 3 a)`
24.1b	8	`(*.f64 3 a)`

Compiler

Compiled 739 to 457 computations (38.2% saved)

bsearch405.0ms (1.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
142.0ms	3.554664853536664e-45	6.44785962932452e-32
90.0ms	4.58629793314864e-69	6.310787641220656e-66
72.0ms	5.496386128213255e-157	4.298797691520021e-142
100.0ms	-9.611025616614385e+115	-8.55541224004272e+110

Compiler

Compiled 1136 to 833 computations (26.7% saved)

regimes1.2s (5.9%)

Counts

57 → 5

Calls

Call 1

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

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

Calls

5 calls:

352.0ms	c
303.0ms	(*.f64 3 a)
205.0ms	b
195.0ms	(*.f64 3 a)
158.0ms	a

Results

Error	Segments	Branch
26.8b	6	`a`
9.0b	5	`b`
27.0b	7	`c`
26.8b	6	`(*.f64 3 a)`
26.8b	6	`(*.f64 3 a)`

Compiler

Compiled 543 to 329 computations (39.4% saved)

bsearch388.0ms (1.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
158.0ms	3.554664853536664e-45	6.44785962932452e-32
98.0ms	4.58629793314864e-69	6.310787641220656e-66
57.0ms	5.496386128213255e-157	4.298797691520021e-142
75.0ms	-9.611025616614385e+115	-8.55541224004272e+110

Compiler

Compiled 1136 to 833 computations (26.7% saved)

regimes1.4s (6.9%)

Counts

56 → 5

Calls

Call 1

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

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

Calls

5 calls:

396.0ms	(*.f64 3 a)
363.0ms	c
309.0ms	b
179.0ms	(*.f64 3 a)
173.0ms	a

Results

Error	Segments	Branch
26.8b	6	`a`
9.0b	5	`b`
27.0b	7	`c`
26.8b	6	`(*.f64 3 a)`
26.8b	6	`(*.f64 3 a)`

Compiler

Compiled 526 to 321 computations (39% saved)

bsearch495.0ms (2.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
139.0ms	3.554664853536664e-45	6.44785962932452e-32
165.0ms	4.58629793314864e-69	6.310787641220656e-66
59.0ms	5.496386128213255e-157	4.298797691520021e-142
130.0ms	-9.611025616614385e+115	-8.55541224004272e+110

Compiler

Compiled 1117 to 814 computations (27.1% saved)

regimes1.2s (5.6%)

Counts

54 → 5

Calls

Call 1

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

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

Calls

5 calls:

289.0ms	a
252.0ms	(*.f64 3 a)
222.0ms	c
212.0ms	b
165.0ms	(*.f64 3 a)

Results

Error	Segments	Branch
31.7b	7	`a`
12.2b	5	`b`
31.5b	6	`c`
31.7b	7	`(*.f64 3 a)`
31.7b	7	`(*.f64 3 a)`

Compiler

Compiled 493 to 303 computations (38.5% saved)

bsearch342.0ms (1.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
147.0ms	3.554664853536664e-45	6.44785962932452e-32
91.0ms	4.58629793314864e-69	6.310787641220656e-66
56.0ms	5.496386128213255e-157	4.298797691520021e-142
47.0ms	-2.1140404739295652e-26	-1.205223273069864e-26

Compiler

Compiled 864 to 657 computations (24% saved)

regimes1.2s (5.8%)

Counts

52 → 5

Calls

Call 1

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

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

Calls

5 calls:

407.0ms	a
212.0ms	b
196.0ms	c
195.0ms	(*.f64 3 a)
188.0ms	(*.f64 3 a)

Results

Error	Segments	Branch
30.7b	8	`a`
12.3b	5	`b`
31.6b	6	`c`
30.7b	8	`(*.f64 3 a)`
30.7b	8	`(*.f64 3 a)`

Compiler

Compiled 467 to 288 computations (38.3% saved)

bsearch382.0ms (1.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
146.0ms	3.554664853536664e-45	6.44785962932452e-32
99.0ms	4.58629793314864e-69	6.310787641220656e-66
59.0ms	5.496386128213255e-157	4.298797691520021e-142
77.0ms	-2.1140404739295652e-26	-1.205223273069864e-26

Compiler

Compiled 850 to 643 computations (24.4% saved)

regimes955.0ms (4.6%)

Counts

50 → 2

Calls

Call 1

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

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

Calls

5 calls:

237.0ms	a
235.0ms	(*.f64 3 a)
209.0ms	c
172.0ms	(*.f64 3 a)
87.0ms	b

Results

Error	Segments	Branch
35.4b	5	`a`
23.1b	2	`b`
37.3b	3	`c`
35.4b	5	`(*.f64 3 a)`
35.4b	5	`(*.f64 3 a)`

Compiler

Compiled 443 to 273 computations (38.4% saved)

bsearch61.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
61.0ms	1.5830161556399725e-217	6.330631225799583e-192

Compiler

Compiled 224 to 173 computations (22.8% saved)

regimes80.0ms (0.4%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

3 calls:

36.0ms	a
26.0ms	c
15.0ms	b

Results

Error	Segments	Branch
35.4b	5	`a`
23.1b	2	`b`
37.3b	3	`c`

Compiler

Compiled 70 to 42 computations (40% saved)

bsearch61.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
61.0ms	1.5830161556399725e-217	6.330631225799583e-192

Compiler

Compiled 224 to 173 computations (22.8% saved)

regimes65.0ms (0.3%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	a
22.0ms	c
13.0ms	b

Results

Error	Segments	Branch
35.4b	5	`a`
23.1b	2	`b`
37.3b	3	`c`

Compiler

Compiled 60 to 37 computations (38.3% saved)

bsearch61.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
61.0ms	1.5830161556399725e-217	6.330631225799583e-192

Compiler

Compiled 224 to 173 computations (22.8% saved)

regimes49.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	a
17.0ms	c
11.0ms	b

Results

Error	Segments	Branch
35.5b	5	`a`
23.1b	2	`b`
37.4b	3	`c`

Compiler

Compiled 35 to 24 computations (31.4% saved)

bsearch67.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
67.0ms	1.5830161556399725e-217	6.330631225799583e-192

Compiler

Compiled 224 to 173 computations (22.8% saved)

regimes15.0ms (0.1%)

Accuracy

Total -17.0b remaining (-37.2%)

Threshold costs -17.0b (-37.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	a
4.0ms	c
4.0ms	b

Results

Error	Segments	Branch
45.8b	1	`a`
45.8b	1	`b`
45.8b	1	`c`

Compiler

Compiled 30 to 21 computations (30% saved)

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
17×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`distribute-rgt-neg-in_binary64`
7×	`neg-sub0_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	96	657
1	136	649
2	165	649
3	182	649
4	191	649
5	194	649

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 136031720810207488/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (.f64 -1/2 (/.f64 c b)) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (/.f64 1/3 a)) (*.f64 -1/2 (/.f64 c b))))))
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 136031720810207488/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (.f64 -1/2 (/.f64 c b)) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 a (.f64 c -3)) (.f64 b b))) b) (/.f64 1/3 a)) (.f64 -1/2 (/.f64 c b))))))
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 136031720810207488/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) (.f64 3 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (.f64 -1/2 (/.f64 c b)) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 a (.f64 c -3)) (.f64 b b))) b) (/.f64 1/3 a)) (.f64 -1/2 (/.f64 c b))))))
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 136031720810207488/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 a (.f64 c -3)) (.f64 b b))) b) (/.f64 1/3 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (.f64 -1/2 (/.f64 c b)) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 a (.f64 c -3)) (.f64 b b))) b) (/.f64 1/3 a)) (.f64 -1/2 (/.f64 c b))))))
(if (<=.f64 b -1062769888367475/87112285931760246646623899502532662132736) (+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 136031720810207488/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (.f64 3 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (.f64 -1/2 (/.f64 c b)) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (/.f64 1/3 a)) (.f64 -1/2 (/.f64 c b))))))
(if (<=.f64 b -1062769888367475/87112285931760246646623899502532662132736) (+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 136031720810207488/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (/.f64 1/3 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (.f64 -1/2 (/.f64 c b)) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (/.f64 1/3 a)) (.f64 -1/2 (/.f64 c b))))))
(if (<=.f64 b 3974446316289815/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (/.f64 (.f64 -2/3 b) a) (.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 3974446316289815/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (/.f64 -2/3 (/.f64 a b)) (*.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 3974446316289815/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (.f64 b (/.f64 -2/3 a)) (.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 3974446316289815/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (.f64 b (/.f64 -2/3 a)) (.f64 (/.f64 -1/2 b) c))
(*.f64 b (/.f64 -2/3 a))

Outputs
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 136031720810207488/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (.f64 -1/2 (/.f64 c b)) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (/.f64 1/3 a)) (*.f64 -1/2 (/.f64 c b))))))
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 531373909414873/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (.f64 -1/2 (/.f64 c b)) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (/.f64 1/3 a)) (*.f64 -1/2 (/.f64 c b))))))
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 531373909414873/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (.f64 -1/2 (/.f64 c b)) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (/.f64 1/3 a)) (*.f64 -1/2 (/.f64 c b))))))
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 136031720810207488/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (.f64 -1/2 (/.f64 c b)) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 a (.f64 c -3)) (.f64 b b))) b) (/.f64 1/3 a)) (.f64 -1/2 (/.f64 c b))))))
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 531373909414873/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (.f64 -1/2 (/.f64 c b)) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (.f64 (/.f64 1/3 a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -3)))) b)) (.f64 -1/2 (/.f64 c b))))))
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 531373909414873/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (.f64 -1/2 (/.f64 c b)) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (.f64 (/.f64 1/3 a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -3)))) b)) (.f64 -1/2 (/.f64 c b))))))
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 136031720810207488/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) (.f64 3 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (.f64 -1/2 (/.f64 c b)) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 a (.f64 c -3)) (.f64 b b))) b) (/.f64 1/3 a)) (.f64 -1/2 (/.f64 c b))))))
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 531373909414873/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))))) (.f64 3 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (.f64 -1/2 (/.f64 c b)) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (.f64 (/.f64 1/3 a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -3)))) b)) (.f64 -1/2 (/.f64 c b))))))
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 531373909414873/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) b) (.f64 3 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (.f64 -1/2 (/.f64 c b)) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (.f64 (/.f64 1/3 a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -3)))) b)) (.f64 -1/2 (/.f64 c b))))))
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 531373909414873/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 -3 (.f64 a c)))) b) (.f64 3 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (.f64 -1/2 (/.f64 c b)) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (.f64 (/.f64 1/3 a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -3)))) b)) (.f64 -1/2 (/.f64 c b))))))
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 136031720810207488/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 a (.f64 c -3)) (.f64 b b))) b) (/.f64 1/3 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (.f64 -1/2 (/.f64 c b)) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 a (.f64 c -3)) (.f64 b b))) b) (/.f64 1/3 a)) (.f64 -1/2 (/.f64 c b))))))
(if (<=.f64 b -860000000000000013594696574933576009110155371969068044158273151406182328796394065590109407905004860003833610240) (/.f64 (.f64 b -2) (.f64 3 a)) (if (<=.f64 b 531373909414873/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (.f64 (/.f64 1/3 a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -3)))) b)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (.f64 -1/2 (/.f64 c b)) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (.f64 (/.f64 1/3 a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -3)))) b)) (.f64 -1/2 (/.f64 c b))))))
(if (<=.f64 b -1062769888367475/87112285931760246646623899502532662132736) (+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 136031720810207488/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (.f64 3 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (.f64 -1/2 (/.f64 c b)) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (/.f64 1/3 a)) (.f64 -1/2 (/.f64 c b))))))
(if (<=.f64 b -1062769888367475/87112285931760246646623899502532662132736) (+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 (/.f64 c b) 1/2)) (if (<=.f64 b 531373909414873/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (.f64 3 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (.f64 -1/2 (/.f64 c b)) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (.f64 (/.f64 1/3 a) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (.f64 -1/2 (/.f64 c b))))))
(if (<=.f64 b -1062769888367475/87112285931760246646623899502532662132736) (+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 (/.f64 c b) 1/2)) (if (<=.f64 b 531373909414873/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 3 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (.f64 -1/2 (/.f64 c b)) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (.f64 (/.f64 1/3 a) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (.f64 -1/2 (/.f64 c b))))))
(if (<=.f64 b -1062769888367475/87112285931760246646623899502532662132736) (+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 136031720810207488/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (/.f64 1/3 a)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (.f64 -1/2 (/.f64 c b)) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (/.f64 1/3 a)) (.f64 -1/2 (/.f64 c b))))))
(if (<=.f64 b -1062769888367475/87112285931760246646623899502532662132736) (+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 (/.f64 c b) 1/2)) (if (<=.f64 b 531373909414873/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (.f64 (/.f64 1/3 a) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (if (<=.f64 b 735140816149873/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (.f64 -1/2 (/.f64 c b)) (if (<=.f64 b 5784976959332365/1606938044258990275541962092341162602522202993782792835301376) (.f64 (/.f64 1/3 a) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (.f64 -1/2 (/.f64 c b))))))
(if (<=.f64 b 3974446316289815/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (/.f64 (.f64 -2/3 b) a) (.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 3974446316289815/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (/.f64 (.f64 b -2/3) a) (.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 3974446316289815/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (/.f64 -2/3 (/.f64 a b)) (*.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 3974446316289815/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (.f64 b (/.f64 -2/3 a)) (.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 3974446316289815/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (.f64 b (/.f64 -2/3 a)) (.f64 (/.f64 -1/2 b) c))
(if (<=.f64 b 3974446316289815/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (.f64 b (/.f64 -2/3 a)) (.f64 c (/.f64 -1/2 b)))
(*.f64 b (/.f64 -2/3 a))

end191.0ms (0.9%)

Stop Event

1×

fuel

Compiler

Compiled 920 to 582 computations (36.7% saved)