Details

analyze1.1s (11%)

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)

sample2.4s (24.4%)

Results

758.0ms	5429×	body	128	valid
652.0ms	1141×	body	2048	valid
331.0ms	714×	body	1024	valid
316.0ms	420×	body	4096	valid
133.0ms	1050×	body	128	invalid
122.0ms	372×	body	512	valid
44.0ms	180×	body	256	valid

Compiler

Compiled 42 to 30 computations (28.6% saved)

preprocess44.0ms (0.4%)

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 (0.3%)

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))

prune4.0ms (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

31.5b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	31.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	31.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))

Compiler

Compiled 111 to 75 computations (32.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
✓	0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
✓	0.7b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
✓	23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series29.0ms (0.3%)

Counts

4 → 96

Calls

36 calls:

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

rewrite80.0ms (0.8%)

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

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

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

801×	`fma-def_binary64`
688×	`associate-/l*_binary64`
623×	`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	1958	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)))
(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 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 1/3 (/.f64 (sqrt.f64 (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 c (.f64 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 1/2 (/.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 c (.f64 a -3)))) (sqrt.f64 (.f64 c (*.f64 a -3))))
(fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b) (sqrt.f64 (.f64 c (*.f64 a -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 c (.f64 a -3))) 3)) (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 c (.f64 a -3)))) (sqrt.f64 (.f64 c (*.f64 a -3)))))
(fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 3)) (fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b) (sqrt.f64 (.f64 c (*.f64 a -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)))))) (+.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))))))
(fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) 3)) (+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 (.f64 c a) -3))) (sqrt.f64 (.f64 (.f64 c a) -3))) (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) 5)))))
(fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 3)) (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 c (.f64 a -3)))) (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 5)) (sqrt.f64 (.f64 c (*.f64 a -3))))))
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(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 (.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 (.f64 -3/8 (.f64 c c)) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -1/2 (/.f64 c b) (fma.f64 -3/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) (.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 (.f64 -3/8 (.f64 c c)) (/.f64 (pow.f64 b 3) a)))))
(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 -1/2 (/.f64 c b) (fma.f64 -3/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) (.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 (.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 (.f64 -3/8 (.f64 c c)) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -1/2 (/.f64 c b) (fma.f64 -3/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) (.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 (.f64 -3/8 (.f64 c c)) (/.f64 (pow.f64 b 3) a)))))
(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 -1/2 (/.f64 c b) (fma.f64 -3/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) (.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))))))

prune208.0ms (2.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	227	13	240
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	228	14	242

Error

6.9b

Counts

242 → 14

Alt Table

Status	Error	Program
	43.9b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))
	45.4b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) 2) a) (/.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))))) 3))
	49.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 3 a))
▶	31.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	43.5b	(/.f64 (.f64 -2 b) (.f64 3 a))
	52.8b	(pow.f64 (sqrt.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3))))) (/.f64 1/3 a))) 2)
	53.0b	(.f64 (/.f64 1 (sqrt.f64 (.f64 3 a))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (sqrt.f64 (*.f64 3 a))))
	44.1b	(/.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))
	56.9b	(/.f64 (+.f64 (neg.f64 b) (fma.f64 -3/2 (.f64 (/.f64 c b) a) b)) (.f64 3 a))
	43.7b	(*.f64 -1/2 (/.f64 c b))
	45.2b	(.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) 1/3) (/.f64 1 a))
	43.7b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 3 (.f64 a c)) 2)) (/.f64 1 (fma.f64 b b (.f64 3 (.f64 a c))))))) (.f64 3 a))
	47.4b	(/.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (*.f64 3 a))
	37.7b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (cbrt.f64 (pow.f64 b 4)) (pow.f64 (cbrt.f64 b) 2) (.f64 c (.f64 a -3))))) (*.f64 3 a))

Compiler

Compiled 6947 to 4398 computations (36.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1/3 a)
✓	0.7b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)
✓	0.7b	(fma.f64 b b (.f64 a (.f64 c -3)))
✓	23.8b	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3))))

series17.0ms (0.2%)

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))))
1.0ms	b	@	0	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3))))
0.0ms	b	@	0	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)
0.0ms	a	@	0	(/.f64 1/3 a)
0.0ms	b	@	-inf	(fma.f64 b b (.f64 a (.f64 c -3)))

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`prod-diff_binary64`
230×	`log1p-udef_binary64`
132×	`add-sqr-sqrt_binary64`
125×	`*-un-lft-identity_binary64`
125×	`pow1_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 → 138

Calls

Call 1

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

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

simplify45.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

749×	`times-frac_binary64`
584×	`associate-l_binary64`
504×	`fma-def_binary64`
428×	`associate-/l*_binary64`
360×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	1665
1	342	1594
2	1192	1555

Stop Event

1×	node limit

Counts

214 → 192

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

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

prune172.0ms (1.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	186	6	192
Fresh	4	9	13
Picked	1	0	1
Done	0	0	0
Total	191	15	206

Error

6.9b

Counts

206 → 15

Alt Table

Status	Error	Program
	43.9b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))
	45.4b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) 2) a) (/.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))))) 3))
	43.6b	(.f64 (.f64 -2 b) (/.f64 1/3 a))
	45.2b	(.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) 1/3) (/.f64 1 a))
	32.8b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) (neg.f64 b)) (fma.f64 -1 b b)) (/.f64 1/3 a))
	43.5b	(/.f64 (.f64 -2 b) (.f64 3 a))
	52.8b	(pow.f64 (sqrt.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3))))) (/.f64 1/3 a))) 2)
	47.4b	(/.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (*.f64 3 a))
▶	29.8b	(.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b)) 2) (/.f64 1/3 a))
	56.9b	(.f64 (-.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) b) b) (/.f64 1/3 a))
	37.7b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (cbrt.f64 (pow.f64 b 4)) (pow.f64 (cbrt.f64 b) 2) (.f64 c (.f64 a -3))))) (*.f64 3 a))
	43.7b	(*.f64 -1/2 (/.f64 c b))
	31.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (.f64 1/3 (/.f64 1 a)))
	49.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 3 a))
	31.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 -3 (.f64 c a) (*.f64 b b))) b) (/.f64 1/3 a))

Compiler

Compiled 5278 to 3397 computations (35.6% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a (.f64 c -3))
✓	0.3b	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)) 2)
	0.3b	(/.f64 1/3 a)
✓	15.4b	(sqrt.f64 (.f64 a (.f64 c -3)))

series53.0ms (0.5%)

Counts

3 → 28

Calls

21 calls:

Time	Variable		Point	Expression
10.0ms	c	@	-inf	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)) 2)
7.0ms	c	@	0	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)) 2)
6.0ms	a	@	-inf	(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)
5.0ms	a	@	inf	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)) 2)

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`prod-diff_binary64`
217×	`expm1-udef_binary64`
217×	`log1p-udef_binary64`
128×	`add-sqr-sqrt_binary64`
123×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	278	31
2	3129	31

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

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

Outputs

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

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

simplify39.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

769×	`fma-def_binary64`
252×	`associate-+l+_binary64`
246×	`fma-neg_binary64`
226×	`*-commutative_binary64`
187×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	299
1	105	293
2	316	277
3	1261	245
4	4826	245

Stop Event

1×	node limit

Counts

124 → 105

Calls

Call 1

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

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

prune125.0ms (1.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	2	12	14
Picked	0	1	1
Done	0	0	0
Total	127	15	142

Error

4.4b

Counts

142 → 15

Alt Table

Status	Error	Program
	43.6b	(.f64 (.f64 -2 b) (/.f64 1/3 a))
▶	31.1b	(.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (sqrt.f64 (pow.f64 (.f64 (*.f64 a -3) c) 2)))) b)) 2) (/.f64 1/3 a))
	45.2b	(.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) 1/3) (/.f64 1 a))
	32.8b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) (neg.f64 b)) (fma.f64 -1 b b)) (/.f64 1/3 a))
	47.4b	(/.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (*.f64 3 a))
✓	29.8b	(.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b)) 2) (/.f64 1/3 a))
	56.9b	(.f64 (-.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) b) b) (/.f64 1/3 a))
	37.7b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (cbrt.f64 (pow.f64 b 4)) (pow.f64 (cbrt.f64 b) 2) (.f64 c (.f64 a -3))))) (*.f64 3 a))
	45.1b	(.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -3)) (sqrt.f64 a))) b)) 2) (/.f64 1/3 a))
	43.9b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))
	43.7b	(*.f64 -1/2 (/.f64 c b))
	31.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (.f64 1/3 (/.f64 1 a)))
	49.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 3 a))
	31.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 -3 (.f64 c a) (*.f64 b b))) b) (/.f64 1/3 a))
	52.8b	(pow.f64 (sqrt.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3))))) (/.f64 1/3 a))) 2)

Compiler

Compiled 3571 to 2453 computations (31.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 a -3) c) 2)))) b)) 2)
✓	0.7b	(-.f64 (hypot.f64 b (sqrt.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 a -3) c) 2)))) b)
✓	15.9b	(sqrt.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 a -3) c) 2)))
✓	17.6b	(sqrt.f64 (pow.f64 (.f64 (.f64 a -3) c) 2))

series48.0ms (0.5%)

Counts

4 → 40

Calls

30 calls:

Time	Variable		Point	Expression
8.0ms	b	@	-inf	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 a -3) c) 2)))) b)) 2)
4.0ms	c	@	-inf	(-.f64 (hypot.f64 b (sqrt.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 a -3) c) 2)))) b)
4.0ms	c	@	0	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 a -3) c) 2)))) b)) 2)
3.0ms	b	@	inf	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 a -3) c) 2)))) b)) 2)
3.0ms	a	@	0	(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 a -3) c) 2)))) b)) 2)

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`prod-diff_binary64`
229×	`log1p-udef_binary64`
139×	`add-sqr-sqrt_binary64`
135×	`pow1_binary64`
132×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	46
1	322	46
2	3407	46

Stop Event

1×	node limit

Counts

4 → 181

Calls

Call 1

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

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

simplify34.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

818×	`associate-l_binary64`
575×	`times-frac_binary64`
465×	`associate-/l*_binary64`
409×	`fma-def_binary64`
294×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	874
1	355	770
2	1275	741

Stop Event

1×	node limit

Counts

221 → 161

Calls

Call 1

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

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

prune136.0ms (1.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	159	2	161
Fresh	1	12	13
Picked	1	0	1
Done	1	0	1
Total	162	14	176

Error

0.4b

Counts

176 → 14

Alt Table

Status	Error	Program
	43.6b	(.f64 (.f64 -2 b) (/.f64 1/3 a))
	45.4b	(.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -3)))) b)) 2) (/.f64 1/3 a))
	45.2b	(.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) 1/3) (/.f64 1 a))
	32.8b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) (neg.f64 b)) (fma.f64 -1 b b)) (/.f64 1/3 a))
	49.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 3 a))
	44.4b	(.f64 (pow.f64 (sqrt.f64 (.f64 -2 b)) 2) (/.f64 1/3 a))
	45.1b	(.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -3)) (sqrt.f64 a))) b)) 2) (/.f64 1/3 a))
	43.9b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))
	43.7b	(*.f64 -1/2 (/.f64 c b))
	31.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (.f64 1/3 (/.f64 1 a)))
	31.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 -3 (.f64 c a) (*.f64 b b))) b) (/.f64 1/3 a))
	52.8b	(pow.f64 (sqrt.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3))))) (/.f64 1/3 a))) 2)
	47.4b	(/.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (*.f64 3 a))
	37.7b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (cbrt.f64 (pow.f64 b 4)) (pow.f64 (cbrt.f64 b) 2) (.f64 c (.f64 a -3))))) (*.f64 3 a))

Compiler

Compiled 4692 to 3328 computations (29.1% saved)

regimes4.6s (47.7%)

Accuracy

Total 10.0b remaining (97.5%)

Threshold costs 0b (0%)

Counts

200 → 3

Compiler

Compiled 3743 to 2407 computations (35.7% saved)

bsearch80.0ms (0.8%)

Algorithm

2×	binary-search

Calls

2 calls:

48.0ms	b
30.0ms	b

Steps

Iters	Point		Range
1.35e-84	∈ [	1.1048801290640923e-88	,	9.47590012821121e-84	]
-1.4e+151	∈ [	-1.9000078783690606e+164	,	-4.9067635368891645e+150	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`unsub-neg_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	56
1	40	54
2	43	54
3	44	54

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b -13999999999999999368278984266319798993361776252422195926455626998498371430106400571348531703928134464382303486844681295786677649503828688507966414913536) (/.f64 (*.f64 -2 b) (*.f64 3 a)) (if (<=.f64 b 1476394239228533/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 1 (*.f64 b b) (*.f64 c (*.f64 a -3))))) (*.f64 3 a)) (*.f64 -1/2 (/.f64 c b))))

Outputs

(if (<=.f64 b -13999999999999999368278984266319798993361776252422195926455626998498371430106400571348531703928134464382303486844681295786677649503828688507966414913536) (/.f64 (*.f64 -2 b) (*.f64 3 a)) (if (<=.f64 b 1476394239228533/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 1 (*.f64 b b) (*.f64 c (*.f64 a -3))))) (*.f64 3 a)) (*.f64 -1/2 (/.f64 c b))))

(if (<=.f64 b -13999999999999999368278984266319798993361776252422195926455626998498371430106400571348531703928134464382303486844681295786677649503828688507966414913536) (/.f64 (*.f64 b -2) (*.f64 3 a)) (if (<=.f64 b 1476394239228533/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 1 (*.f64 b b) (*.f64 c (*.f64 a -3))))) (*.f64 3 a)) (*.f64 -1/2 (/.f64 c b))))

(if (<=.f64 b -13999999999999999368278984266319798993361776252422195926455626998498371430106400571348531703928134464382303486844681295786677649503828688507966414913536) (/.f64 (*.f64 b -2) (*.f64 3 a)) (if (<=.f64 b 1476394239228533/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (/.f64 (-.f64 (sqrt.f64 (fma.f64 1 (*.f64 b b) (*.f64 c (*.f64 a -3)))) b) (*.f64 3 a)) (*.f64 -1/2 (/.f64 c b))))

end184.0ms (1.9%)

Stop Event

1×

fuel

Compiler

Compiled 335 to 242 computations (27.8% saved)

Details

analyze1.1s (11%)

sample2.4s (24.4%)

preprocess44.0ms (0.4%)

simplify33.0ms (0.3%)

prune4.0ms (0%)

localize10.0ms (0.1%)

series29.0ms (0.3%)

rewrite80.0ms (0.8%)

simplify58.0ms (0.6%)

prune208.0ms (2.1%)

localize10.0ms (0.1%)

series17.0ms (0.2%)

rewrite64.0ms (0.7%)

simplify45.0ms (0.5%)

prune172.0ms (1.8%)

localize14.0ms (0.1%)

series53.0ms (0.5%)

rewrite62.0ms (0.6%)

simplify39.0ms (0.4%)

prune125.0ms (1.3%)

localize13.0ms (0.1%)

series48.0ms (0.5%)

rewrite71.0ms (0.7%)

simplify34.0ms (0.3%)

prune136.0ms (1.4%)

regimes4.6s (47.7%)

bsearch80.0ms (0.8%)

simplify3.0ms (0%)

end184.0ms (1.9%)

Profiling