Details

analyze944.0ms (17.2%)

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
33.8%	45.6%	20.5%	13
38.8%	38.9%	22.3%	14

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.2s (40.5%)

Results

729.0ms	5424×	body	128	valid
618.0ms	1118×	body	2048	valid
322.0ms	742×	body	1024	valid
255.0ms	408×	body	4096	valid
131.0ms	1077×	body	128	invalid
115.0ms	370×	body	512	valid
43.0ms	194×	body	256	valid

preprocess45.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

795×	`fma-def_binary64`
731×	`div-sub_binary64`
295×	`fma-neg_binary64`
212×	`associate-/l*_binary64`
209×	`sub-neg_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
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 20 to 14 computations (30% saved)

simplify33.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1220×	`fma-neg_binary64`
367×	`fma-def_binary64`
351×	`times-frac_binary64`
266×	`associate-/l*_binary64`
254×	`div-sub_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

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

37.6b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	37.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))

Compiler

Compiled 76 to 52 computations (31.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
✓	0.7b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
✓	1.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
✓	27.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series27.0ms (0.5%)

Counts

4 → 96

Calls

36 calls:

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

rewrite76.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

248×	`expm1-udef_binary64`
248×	`log1p-udef_binary64`
156×	`add-sqr-sqrt_binary64`
150×	`*-un-lft-identity_binary64`
150×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	74
1	302	62
2	4494	62

Stop Event

1×	node limit

Counts

4 → 158

Calls

Call 1

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

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

simplify55.0ms (1%)

Algorithm

1×	egg-herbie

Rules

801×	`fma-def_binary64`
689×	`associate-/l*_binary64`
625×	`associate-/r*_binary64`
168×	`associate-/r/_binary64`
107×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	2384
1	542	2300
2	1960	2222

Stop Event

1×	node limit

Counts

254 → 240

Calls

Call 1

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

eval112.0ms (2%)

Compiler: Compiled 6377 to 3999 computations (37.3% saved)

prune206.0ms (3.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	228	12	240
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	230	12	242

Error

6.2b

Counts

242 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	43.6b	(/.f64 -2/3 (/.f64 a b))
▶	37.7b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (/.f64 1 (.f64 a -3)))
	46.2b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a))
	38.6b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) 3)) (*.f64 3 a))
	41.3b	(*.f64 -1/2 (/.f64 c b))
	38.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))))) (*.f64 3 a))
	47.6b	(.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (pow.f64 (cbrt.f64 (.f64 3 a)) 2)) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (cbrt.f64 (*.f64 3 a))))
	43.6b	(/.f64 (.f64 b -2) (.f64 3 a))
	47.4b	(.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) 1) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a)))
	43.0b	(/.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (*.f64 3 a))
	46.9b	(fma.f64 1/3 (/.f64 (sqrt.f64 (.f64 a (.f64 c -3))) a) (fma.f64 (/.f64 1/6 (sqrt.f64 (.f64 a (.f64 c -3)))) (.f64 (/.f64 b a) b) (.f64 -1/3 (/.f64 b a))))
	43.8b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))

Compiler

Compiled 546 to 374 computations (31.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (*.f64 a -3))
✓	0.7b	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))
✓	1.5b	(fma.f64 b b (.f64 c (.f64 a -3)))
✓	27.7b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))

series14.0ms (0.3%)

Counts

4 → 88

Calls

30 calls:

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

rewrite79.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

630×	`prod-diff_binary64`
218×	`expm1-udef_binary64`
218×	`log1p-udef_binary64`
127×	`add-sqr-sqrt_binary64`
121×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	253	42
2	3208	42

Stop Event

1×	node limit

Counts

4 → 141

Calls

Call 1

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

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

simplify45.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

782×	`times-frac_binary64`
512×	`fma-def_binary64`
443×	`associate-/l*_binary64`
387×	`associate-/r*_binary64`
266×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	123	1715
1	366	1648
2	1254	1605

Stop Event

1×	node limit

Counts

229 → 198

Calls

Call 1

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

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

eval107.0ms (1.9%)

Compiler: Compiled 5993 to 4076 computations (32% saved)

prune168.0ms (3.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	191	7	198
Fresh	6	5	11
Picked	0	1	1
Done	0	0	0
Total	197	13	210

Error

6.1b

Counts

210 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	43.6b	(/.f64 -2/3 (/.f64 a b))
✓	37.7b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (/.f64 1 (.f64 a -3)))
	46.2b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a))
	43.9b	(.f64 (-.f64 b (-.f64 (.f64 (/.f64 (.f64 3/2 c) b) a) b)) (/.f64 1 (.f64 a -3)))
	43.9b	(.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (.f64 b 2)) (/.f64 1 (.f64 a -3)))
	48.7b	(.f64 (/.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2)) (fma.f64 b b (+.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))) (/.f64 1 (*.f64 a -3)))
	46.4b	(.f64 (/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -3)))))) (/.f64 1 (*.f64 a -3)))
▶	38.1b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a -3)) 2) -1) (pow.f64 (cbrt.f64 (.f64 a -3)) -1)))
	43.6b	(/.f64 (.f64 b -2) (.f64 3 a))
	41.3b	(*.f64 -1/2 (/.f64 c b))
	38.4b	(.f64 (+.f64 (fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2)) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2))))) (/.f64 1 (.f64 a -3)))
	43.0b	(.f64 (.f64 (/.f64 (.f64 3/2 c) b) a) (/.f64 1 (.f64 a -3)))
	43.8b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))

Compiler

Compiled 666 to 462 computations (30.6% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (*.f64 a -3))
	0.7b	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))
	1.5b	(fma.f64 b b (.f64 c (.f64 a -3)))
	27.7b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))

series3.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

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

rewrite27.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

418×	`pow1_binary64`
391×	`add-log-exp_binary64`
391×	`log1p-expm1-u_binary64`
391×	`expm1-log1p-u_binary64`
382×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	99	6
2	1077	6

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 a -3))

Outputs

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

eval161.0ms (2.9%)

Compiler: Compiled 8459 to 6238 computations (26.3% saved)

prune120.0ms (2.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	208	4	212
Fresh	2	9	11
Picked	1	0	1
Done	0	1	1
Total	211	14	225

Error

6.1b

Counts

225 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	43.6b	(/.f64 -2/3 (/.f64 a b))
✓	37.7b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (/.f64 1 (.f64 a -3)))
	46.2b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a))
	43.0b	(.f64 (.f64 (/.f64 (.f64 3/2 c) b) a) (/.f64 1 (.f64 a -3)))
	43.9b	(.f64 (.f64 2 b) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a -3)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 a -3)) -1)))
	43.9b	(.f64 (-.f64 b (-.f64 (.f64 (/.f64 (.f64 3/2 c) b) a) b)) (/.f64 1 (.f64 a -3)))
	49.0b	(.f64 (/.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2)) (fma.f64 b b (+.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a -3)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 a -3)) -1)))
▶	38.0b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a -3)) 2) -1) (pow.f64 (.f64 (cbrt.f64 a) (cbrt.f64 -3)) -1)))
	46.4b	(.f64 (/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -3)))))) (/.f64 1 (*.f64 a -3)))
	43.6b	(/.f64 (.f64 b -2) (.f64 3 a))
	41.3b	(*.f64 -1/2 (/.f64 c b))
	38.4b	(.f64 (+.f64 (fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2)) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2))))) (/.f64 1 (.f64 a -3)))
	44.2b	(.f64 (-.f64 b (-.f64 (.f64 (/.f64 (.f64 3/2 c) b) a) b)) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a -3)) 2) -1) (pow.f64 (cbrt.f64 (.f64 a -3)) -1)))
	43.8b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))

Compiler

Compiled 754 to 538 computations (28.6% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 a)
	0.7b	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))
	1.5b	(fma.f64 b b (.f64 c (.f64 a -3)))
	27.7b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(cbrt.f64 a)
0.0ms	a	@	0	(cbrt.f64 a)
0.0ms	a	@	inf	(cbrt.f64 a)

rewrite25.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

247×	`pow1_binary64`
240×	`add-sqr-sqrt_binary64`
232×	`*-un-lft-identity_binary64`
231×	`add-log-exp_binary64`
231×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	57	3
2	641	3

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(cbrt.f64 a)

Outputs

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

28 → 28

Calls

Call 1

Inputs

Outputs

eval147.0ms (2.7%)

Compiler: Compiled 8315 to 5959 computations (28.3% saved)

prune108.0ms (2%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	199	15	214

Error

6.1b

Counts

214 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	43.6b	(/.f64 -2/3 (/.f64 a b))
✓	37.7b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (/.f64 1 (.f64 a -3)))
	46.2b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a))
	43.6b	(/.f64 (.f64 b -2) (.f64 3 a))
	43.2b	(.f64 (.f64 (/.f64 (.f64 3/2 c) b) a) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a -3)) 2) -1) (pow.f64 (.f64 (cbrt.f64 a) (cbrt.f64 -3)) -1)))
	43.0b	(.f64 (.f64 (/.f64 (.f64 3/2 c) b) a) (/.f64 1 (.f64 a -3)))
	43.9b	(.f64 (.f64 2 b) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a -3)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 a -3)) -1)))
	43.9b	(.f64 (-.f64 b (-.f64 (.f64 (/.f64 (.f64 3/2 c) b) a) b)) (/.f64 1 (.f64 a -3)))
	49.0b	(.f64 (/.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2)) (fma.f64 b b (+.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a -3)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 a -3)) -1)))
✓	38.0b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a -3)) 2) -1) (pow.f64 (.f64 (cbrt.f64 a) (cbrt.f64 -3)) -1)))
	46.4b	(.f64 (/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -3)))))) (/.f64 1 (*.f64 a -3)))
	41.3b	(*.f64 -1/2 (/.f64 c b))
	38.4b	(.f64 (+.f64 (fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2)) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2))))) (/.f64 1 (.f64 a -3)))
	44.2b	(.f64 (-.f64 b (-.f64 (.f64 (/.f64 (.f64 3/2 c) b) a) b)) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a -3)) 2) -1) (pow.f64 (cbrt.f64 (.f64 a -3)) -1)))
	43.8b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))

Compiler

Compiled 414 to 298 computations (28% saved)

regimes465.0ms (8.5%)

Accuracy

Total -52.9b remaining (-484.7%)

Threshold costs -52.9b (-484.7%)

Counts

26 → 3

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (.f64 3/2 c) b) a) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a -3)) 2) -1) (pow.f64 (.f64 (cbrt.f64 a) (cbrt.f64 -3)) -1)))
(.f64 (.f64 2 b) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a -3)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 a -3)) -1)))
(.f64 (/.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2)) (fma.f64 b b (+.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a -3)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 a -3)) -1)))
(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a -3)) 2) -1) (pow.f64 (.f64 (cbrt.f64 a) (cbrt.f64 -3)) -1)))
(.f64 (-.f64 b (-.f64 (.f64 (/.f64 (.f64 3/2 c) b) a) b)) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a -3)) 2) -1) (pow.f64 (cbrt.f64 (.f64 a -3)) -1)))
(.f64 (-.f64 b (-.f64 (.f64 (/.f64 (.f64 3/2 c) b) a) b)) (/.f64 1 (.f64 a -3)))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (.f64 b 2)) (/.f64 1 (.f64 a -3)))
(.f64 (/.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2)) (fma.f64 b b (+.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))) (/.f64 1 (*.f64 a -3)))
(.f64 (/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -3)))))) (/.f64 1 (*.f64 a -3)))
(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a -3)) 2) -1) (pow.f64 (cbrt.f64 (.f64 a -3)) -1)))
(.f64 (+.f64 (fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2)) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2))))) (/.f64 1 (.f64 a -3)))
(.f64 (.f64 (/.f64 (.f64 3/2 c) b) a) (/.f64 1 (.f64 a -3)))
(/.f64 -2/3 (/.f64 a b))
(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (/.f64 1 (.f64 a -3)))
(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) 3)) (*.f64 3 a))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))))) (*.f64 3 a))
(.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (pow.f64 (cbrt.f64 (.f64 3 a)) 2)) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (cbrt.f64 (*.f64 3 a))))
(/.f64 (.f64 b -2) (.f64 3 a))
(.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) 1) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a)))
(/.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (*.f64 3 a))
(fma.f64 1/3 (/.f64 (sqrt.f64 (.f64 a (.f64 c -3))) a) (fma.f64 (/.f64 1/6 (sqrt.f64 (.f64 a (.f64 c -3)))) (.f64 (/.f64 b a) b) (.f64 -1/3 (/.f64 b a))))
(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

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

Results

Time	Error	Segments	Branch
82.0ms	31.2b	7	`a`
50.0ms	10.9b	3	`b`
116.0ms	31.6b	9	`c`
34.0ms	17.2b	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
82.0ms	31.2b	7	`(*.f64 3 a)`
84.0ms	31.2b	7	`(*.f64 3 a)`

Compiler

Compiled 699 to 464 computations (33.6% saved)

bsearch201.0ms (3.7%)

Algorithm

2×	binary-search

Steps

Time	Point		Range
129.0ms	8.8e-63	∈ [	8.674466448676245e-63	,	4.903912729191021e-58	]
71.0ms	-1.55e+99	∈ [	-2.6169231923379668e+101	,	-1.5204467530700001e+99	]

Compiler

Compiled 511 to 370 computations (27.6% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
7×	`+-commutative_binary64`
6×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	59
1	42	57
2	62	57
3	71	57
4	77	57
5	79	57

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b -1550000000000000034362825681256518327193234861529113148628139966711612615945471113120609273833848832) (fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3)) (if (<=.f64 b 2037940770576765/231584178474632390847141970017375815706539969331281128078915168015826259279872) (/.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))))

Outputs

(if (<=.f64 b -1550000000000000034362825681256518327193234861529113148628139966711612615945471113120609273833848832) (fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3)) (if (<=.f64 b 2037940770576765/231584178474632390847141970017375815706539969331281128078915168015826259279872) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) (*.f64 -1/2 (/.f64 c b))))

(if (<=.f64 b -1550000000000000034362825681256518327193234861529113148628139966711612615945471113120609273833848832) (fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3)) (if (<=.f64 b 2037940770576765/231584178474632390847141970017375815706539969331281128078915168015826259279872) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 3))))) (*.f64 a 3)) (*.f64 (/.f64 c b) -1/2)))

(if (<=.f64 b -1550000000000000034362825681256518327193234861529113148628139966711612615945471113120609273833848832) (fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3)) (if (<=.f64 b 2037940770576765/231584178474632390847141970017375815706539969331281128078915168015826259279872) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -3)))) b) (*.f64 a 3)) (*.f64 (/.f64 c b) -1/2)))

end25.0ms (0.5%)

Stop Event

1×

fuel

Compiler

Compiled 84 to 54 computations (35.7% saved)

Details

analyze944.0ms (17.2%)

sample2.2s (40.5%)

preprocess45.0ms (0.8%)

simplify33.0ms (0.6%)

eval1.0ms (0%)

prune2.0ms (0%)

localize9.0ms (0.2%)

series27.0ms (0.5%)

rewrite76.0ms (1.4%)

simplify55.0ms (1%)

eval112.0ms (2%)

prune206.0ms (3.8%)

localize9.0ms (0.2%)

series14.0ms (0.3%)

rewrite79.0ms (1.4%)

simplify45.0ms (0.8%)

eval107.0ms (1.9%)

prune168.0ms (3.1%)

localize16.0ms (0.3%)

series3.0ms (0.1%)

rewrite27.0ms (0.5%)

simplify6.0ms (0.1%)

eval161.0ms (2.9%)

prune120.0ms (2.2%)

localize17.0ms (0.3%)

series2.0ms (0%)

rewrite25.0ms (0.5%)

simplify6.0ms (0.1%)

eval147.0ms (2.7%)

prune108.0ms (2%)

regimes465.0ms (8.5%)

bsearch201.0ms (3.7%)

simplify4.0ms (0.1%)

end25.0ms (0.5%)

Profiling