Details

analyze1.0s (11.9%)

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 (28.1%)

Results

818.0ms	5325×	body	128	valid
639.0ms	1146×	body	2048	valid
317.0ms	743×	body	1024	valid
278.0ms	434×	body	4096	valid
144.0ms	1075×	body	128	invalid
132.0ms	400×	body	512	valid
46.0ms	208×	body	256	valid

Compiler

Compiled 42 to 30 computations (28.6% saved)

preprocess44.0ms (0.5%)

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)

simplify31.0ms (0.4%)

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))

prune3.0ms (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

33.6b

Counts

3 → 2

Alt Table

Status	Error	Program
	33.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
▶	33.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Compiler

Compiled 111 to 75 computations (32.4% saved)

localize9.0ms (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))
✓	0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
✓	3.0b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
✓	21.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series37.0ms (0.4%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
3.0ms	a	@	-inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
2.0ms	a	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
2.0ms	c	@	inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
2.0ms	c	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

rewrite73.0ms (0.9%)

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 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 expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3))))))))))
((#(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 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))))) (#(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))))))))

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

780×	`times-frac_binary64`
488×	`associate-/l*_binary64`
414×	`associate-/r*_binary64`
400×	`fma-def_binary64`
142×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	2325
1	429	2249
2	1471	2208

Stop Event

1×	node limit

Counts

254 → 233

Calls

Call 1

Inputs
(sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))
(+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 3))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 5))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))) 3))))
b
(-.f64 b (.f64 3/2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 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 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -1 b)
(-.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) b)
(-.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) b)
(-.f64 (+.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 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) b)
b
(-.f64 b (.f64 3/2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 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 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
b
(-.f64 b (.f64 3/2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 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 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))
(-.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) b)
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a))))))) b)
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))))) (+.f64 b (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 3)))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (+.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 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.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 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) (*.f64 2 b))
(-.f64 (+.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 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) (*.f64 2 b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (+.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 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.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))
(neg.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (+.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 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.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 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) a)) (.f64 1/3 (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) a)) (.f64 1/6 (/.f64 (pow.f64 b 2) (.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) a)))) (.f64 1/3 (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) a)) (.f64 1/6 (/.f64 (pow.f64 b 2) (.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) a)))) (+.f64 (.f64 1/3 (/.f64 b a)) (.f64 1/24 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 3) a)))))
(*.f64 -1/2 (/.f64 c b))
(neg.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b)))))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 135/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))))
(*.f64 -2/3 (/.f64 b a))
(-.f64 (.f64 1/2 (/.f64 c b)) (.f64 2/3 (/.f64 b a)))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (.f64 1/2 (/.f64 c b))) (.f64 2/3 (/.f64 b a)))
(-.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (.f64 1/2 (/.f64 c b)))) (.f64 2/3 (/.f64 b a)))
(*.f64 -1/2 (/.f64 c b))
(neg.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b)))))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 135/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))))
(*.f64 -1/2 (/.f64 c b))
(neg.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b)))))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 135/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))))

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 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))))))
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (.f64 1/2 (/.f64 (.f64 b b) (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 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 3))))
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (-.f64 (.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 (.f64 c a) -3)))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 (*.f64 c a) -3)) 3)))))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 c (.f64 a -3)))) (/.f64 (.f64 -1/8 (pow.f64 b 4)) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 3))))
(fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 3)) -1/8 (fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b) (sqrt.f64 (.f64 c (*.f64 a -3)))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 5))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))) 3))))
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (-.f64 (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) 5)) (.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 (.f64 c a) -3))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 (*.f64 c a) -3)) 3)))))
(+.f64 (+.f64 (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 (pow.f64 b 6)) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 5))) (/.f64 (.f64 -1/8 (pow.f64 b 4)) (pow.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) 3)))
(fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 3)) -1/8 (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 5)) (fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b) (sqrt.f64 (.f64 c (*.f64 a -3))))))
b
(-.f64 b (.f64 3/2 (/.f64 (.f64 c a) b)))
(+.f64 b (.f64 (/.f64 (.f64 c a) b) -3/2))
(+.f64 b (*.f64 (/.f64 a (/.f64 b c)) -3/2))
(fma.f64 (*.f64 (/.f64 a b) c) -3/2 b)
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (fma.f64 3/2 (/.f64 (.f64 c a) b) (.f64 9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))))))
(-.f64 b (fma.f64 9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (.f64 3/2 (/.f64 a (/.f64 b c)))))
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(neg.f64 (fma.f64 3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 (.f64 1/2 c) b)))
(+.f64 (.f64 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a) -3/8) (/.f64 -1/2 (/.f64 b c)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a) -3/8))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b)))))
(neg.f64 (fma.f64 9/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (fma.f64 3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 (*.f64 1/2 c) b))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) -9/16) (fma.f64 1/2 (/.f64 c b) (.f64 3/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))))
(fma.f64 (/.f64 a (/.f64 (pow.f64 b 5) (.f64 a (pow.f64 c 3)))) -9/16 (fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) -3/8)))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 135/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))))
(neg.f64 (fma.f64 9/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (fma.f64 135/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (fma.f64 3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 (*.f64 1/2 c) b)))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) -9/16) (fma.f64 135/128 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) (fma.f64 1/2 (/.f64 c b) (.f64 3/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)))))
(fma.f64 (/.f64 a (/.f64 (pow.f64 b 5) (.f64 a (pow.f64 c 3)))) -9/16 (-.f64 (fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) -3/8)) (/.f64 (.f64 (.f64 135/128 (pow.f64 a 3)) (pow.f64 c 4)) (pow.f64 b 7))))

prune200.0ms (2.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	219	14	233
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	220	15	235

Error

8.2b

Counts

235 → 15

Alt Table

Status	Error	Program
	46.8b	(/.f64 (/.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)))))) (.f64 3 a))
	45.1b	(-.f64 (.f64 1/2 (/.f64 c b)) (.f64 2/3 (/.f64 b a)))
	42.5b	(*.f64 (/.f64 -1/2 b) c)
	33.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
▶	33.7b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (/.f64 1 (.f64 a -3)))
	44.8b	(/.f64 (.f64 -2 b) (.f64 3 a))
	44.8b	(/.f64 -2/3 (/.f64 a b))
	47.0b	(neg.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))
	42.4b	(*.f64 -1/2 (/.f64 c b))
	34.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 3))) (*.f64 3 a))
	56.9b	(/.f64 (+.f64 (neg.f64 b) (fma.f64 (.f64 (/.f64 a b) c) -3/2 b)) (.f64 3 a))
	44.5b	(.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))) a))
	50.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 3 a))
	34.3b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2)) (*.f64 3 a))
	46.3b	(.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (/.f64 1/3 a)))

Compiler

Compiled 6398 to 4011 computations (37.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (*.f64 a -3))
✓	1.0b	(fma.f64 b b (.f64 c (.f64 a -3)))
✓	3.0b	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))
✓	21.3b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))

series15.0ms (0.2%)

Counts

4 → 88

Calls

30 calls:

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

rewrite67.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 141

Calls

Call 1

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

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

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

455×	`times-frac_binary64`
407×	`fma-neg_binary64`
274×	`associate-/l*_binary64`
268×	`associate-r_binary64`
252×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	1684
1	257	1618
2	813	1604
3	4438	1602

Stop Event

1×	node limit

Counts

229 → 195

Calls

Call 1

Inputs
(sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))
(+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 3))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 5))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))) 3))))
b
(-.f64 b (.f64 3/2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 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 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -1 b)
(-.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) b)
(-.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) b)
(-.f64 (+.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 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) b)
b
(-.f64 b (.f64 3/2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 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 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
b
(-.f64 b (.f64 3/2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 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 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 -1 (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))))
(-.f64 b (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))))
(-.f64 b (+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a))))))))
(-.f64 (+.f64 b (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 3)))) (+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))))))
(.f64 3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (.f64 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 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 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 b)
(-.f64 (.f64 2 b) (.f64 3/2 (/.f64 (*.f64 c a) b)))
(-.f64 (.f64 2 b) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 (.f64 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 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 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (.f64 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 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 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.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 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (.f64 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 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 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.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 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)

Outputs
(sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))
(sqrt.f64 (.f64 (.f64 c a) -3))
(sqrt.f64 (.f64 c (.f64 a -3)))
(+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))))))
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (/.f64 (.f64 1/2 (.f64 b b)) (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 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 3))))
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (-.f64 (/.f64 (.f64 1/2 (.f64 b b)) (sqrt.f64 (.f64 (.f64 c a) -3))) (/.f64 (.f64 1/8 (pow.f64 b 4)) (pow.f64 (sqrt.f64 (.f64 (*.f64 c a) -3)) 3))))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 c (.f64 a -3)))) (.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 3)) -1/8)))
(fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 3)) -1/8 (fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b) (sqrt.f64 (.f64 c (*.f64 a -3)))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 5))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))) 3))))
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (-.f64 (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) 5)) (/.f64 (.f64 1/2 (.f64 b b)) (sqrt.f64 (.f64 (.f64 c a) -3)))) (/.f64 (.f64 1/8 (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 c (.f64 a -3)))) (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 5)))) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) 3)))))
(fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 3)) -1/8 (fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b) (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))))))
b
(-.f64 b (.f64 3/2 (/.f64 (.f64 c a) b)))
(-.f64 b (*.f64 3/2 (/.f64 c (/.f64 b a))))
(+.f64 b (.f64 (.f64 (/.f64 c b) a) -3/2))
(fma.f64 (*.f64 a (/.f64 c b)) -3/2 b)
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (fma.f64 3/2 (/.f64 c (/.f64 b a)) (.f64 9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)))))
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(+.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 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (.f64 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 c c) (pow.f64 b 3)) (.f64 a a)) (.f64 27/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)))))
(fma.f64 3/2 (.f64 a (/.f64 c b)) (fma.f64 9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (.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 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (fma.f64 405/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 4))) (.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 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 27/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (.f64 405/128 (/.f64 (pow.f64 a 4) (/.f64 (pow.f64 b 7) (pow.f64 c 4)))))))
(fma.f64 3/2 (.f64 a (/.f64 c b)) (fma.f64 9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.f64 405/128 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 7)) (pow.f64 c 4))))))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 c) a))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)

prune164.0ms (1.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	188	7	195
Fresh	4	10	14
Picked	1	0	1
Done	0	0	0
Total	193	17	210

Error

8.2b

Counts

210 → 17

Alt Table

Status	Error	Program
	46.8b	(/.f64 (/.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)))))) (.f64 3 a))
	45.1b	(-.f64 (.f64 1/2 (/.f64 c b)) (.f64 2/3 (/.f64 b a)))
	47.0b	(neg.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))
	34.3b	(.f64 (-.f64 b (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2)) (/.f64 1 (.f64 a -3)))
	46.9b	(.f64 (/.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2)) (fma.f64 b b (+.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))) (/.f64 1 (*.f64 a -3)))
	50.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 3 a))
	34.3b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2)) (*.f64 3 a))
▶	33.7b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3))))) (/.f64 -1/3 a))
	44.8b	(/.f64 -2/3 (/.f64 a b))
	56.9b	(.f64 (-.f64 b (fma.f64 (.f64 a (/.f64 c b)) -3/2 b)) (/.f64 1 (*.f64 a -3)))
	42.5b	(*.f64 (/.f64 -1/2 b) c)
	42.4b	(*.f64 -1/2 (/.f64 c b))
	34.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 3))) (*.f64 3 a))
	44.5b	(.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))) a))
	44.8b	(.f64 (.f64 2 b) (/.f64 1 (*.f64 a -3)))
	45.4b	(.f64 (.f64 3/2 (.f64 a (/.f64 c b))) (/.f64 1 (.f64 a -3)))
	40.2b	(.f64 (-.f64 b (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (/.f64 1 (.f64 a -3)))

Compiler

Compiled 6420 to 4365 computations (32% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 -1/3 a)
	1.0b	(fma.f64 b b (.f64 c (.f64 a -3)))
	3.0b	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))
	21.3b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite27.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

400×	`pow1_binary64`
376×	`add-log-exp_binary64`
376×	`log1p-expm1-u_binary64`
376×	`expm1-log1p-u_binary64`
369×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	87	4
2	1024	4

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(/.f64 -1/3 a)

Outputs

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

prune171.0ms (2%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	185	4	189
Fresh	5	11	16
Picked	0	1	1
Done	0	0	0
Total	190	16	206

Error

8.2b

Counts

206 → 16

Alt Table

Status	Error	Program
	56.9b	(.f64 (-.f64 b (fma.f64 (.f64 a (/.f64 c b)) -3/2 b)) (/.f64 -1/3 a))
	44.8b	(/.f64 -2/3 (/.f64 a b))
	34.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 3))) (*.f64 3 a))
	45.4b	(.f64 (.f64 3/2 (*.f64 a (/.f64 c b))) (/.f64 -1/3 a))
	46.9b	(.f64 (/.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2)) (fma.f64 b b (+.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))) (/.f64 -1/3 a))
▶	34.3b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2)) (*.f64 3 a))
✓	33.7b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3))))) (/.f64 -1/3 a))
	45.1b	(-.f64 (.f64 1/2 (/.f64 c b)) (.f64 2/3 (/.f64 b a)))
	47.0b	(neg.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))
	42.5b	(*.f64 (/.f64 -1/2 b) c)
	42.4b	(*.f64 -1/2 (/.f64 c b))
	44.5b	(.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))) a))
	50.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 3 a))
	45.1b	(.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -3)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (/.f64 -1/3 a))
	44.8b	(.f64 (.f64 2 b) (/.f64 1 (*.f64 a -3)))
	40.2b	(.f64 (-.f64 b (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (/.f64 1 (.f64 a -3)))

Compiler

Compiled 5879 to 3880 computations (34% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2)
	1.0b	(fma.f64 b b (.f64 c (.f64 a -3)))
✓	10.3b	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2))
✓	21.8b	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4)

series36.0ms (0.4%)

Counts

3 → 92

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	a	@	inf	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4)
4.0ms	b	@	0	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4)
2.0ms	c	@	inf	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4)
2.0ms	b	@	inf	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4)
2.0ms	c	@	inf	(pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2)

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

279×	`fma-def_binary64`
233×	`expm1-udef_binary64`
233×	`log1p-udef_binary64`
176×	`fma-neg_binary64`
148×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	47
1	307	41
2	3755	41

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

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

Outputs

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

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

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

simplify88.0ms (1%)

Algorithm

1×	egg-herbie

Rules

303×	`times-frac_binary64`
280×	`associate-/r*_binary64`
251×	`associate-r_binary64`
238×	`fma-neg_binary64`
225×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	344	4559
1	1183	4469
2	4748	4463

Stop Event

1×	node limit

Counts

193 → 234

Calls

Call 1

Inputs
(pow.f64 (.f64 -3 (.f64 c a)) 1/4)
(-.f64 (pow.f64 (.f64 -3 (.f64 c a)) 1/4) (.f64 1/12 (.f64 (pow.f64 (/.f64 -3 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))))
(-.f64 (pow.f64 (.f64 -3 (.f64 c a)) 1/4) (+.f64 (.f64 1/96 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (.f64 1/12 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2)))))
(-.f64 (pow.f64 (.f64 -3 (.f64 c a)) 1/4) (+.f64 (.f64 1/96 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (.f64 1/12 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (.f64 7/3456 (.f64 (pow.f64 (/.f64 -3 (*.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))))))
(sqrt.f64 b)
(-.f64 (sqrt.f64 b) (.f64 3/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 27/32 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 3/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 189/128 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (+.f64 (.f64 27/32 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 3/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(sqrt.f64 (*.f64 -1 b))
(-.f64 (sqrt.f64 (.f64 -1 b)) (.f64 3/4 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (*.f64 c a)) (pow.f64 b 2))))
(-.f64 (sqrt.f64 (.f64 -1 b)) (+.f64 (.f64 27/32 (/.f64 (.f64 (pow.f64 c 2) (.f64 (sqrt.f64 (.f64 -1 b)) (pow.f64 a 2))) (pow.f64 b 4))) (.f64 3/4 (/.f64 (.f64 c (.f64 (sqrt.f64 (*.f64 -1 b)) a)) (pow.f64 b 2)))))
(-.f64 (sqrt.f64 (.f64 -1 b)) (+.f64 (.f64 27/32 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))) (+.f64 (.f64 3/4 (/.f64 (.f64 c (.f64 (sqrt.f64 (.f64 -1 b)) a)) (pow.f64 b 2))) (.f64 189/128 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 6))))))
(sqrt.f64 b)
(-.f64 (sqrt.f64 b) (.f64 3/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 27/32 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 3/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 189/128 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (+.f64 (.f64 27/32 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 3/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c))))) (.f64 1/12 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 2)) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c))))) (+.f64 (.f64 1/12 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c)))))) (.f64 c a))) (.f64 1/96 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c)))))) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c))))) (+.f64 (.f64 7/3456 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 6)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 1/12 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c)))))) (.f64 c a))) (.f64 1/96 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 a)) (log.f64 (/.f64 -1 c)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 a)) (log.f64 (/.f64 -1 c))))) (.f64 1/12 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 a)) (log.f64 (/.f64 -1 c))))) (pow.f64 b 2)) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 a)) (log.f64 (/.f64 -1 c))))) (+.f64 (.f64 1/12 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 a)) (log.f64 (/.f64 -1 c))))) (pow.f64 b 2)) (.f64 c a))) (.f64 1/96 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 a)) (log.f64 (/.f64 -1 c))))) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 a)) (log.f64 (/.f64 -1 c))))) (+.f64 (.f64 1/12 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 a)) (log.f64 (/.f64 -1 c))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 7/3456 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 a)) (log.f64 (/.f64 -1 c))))) (pow.f64 b 6)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 1/96 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 a)) (log.f64 (/.f64 -1 c))))) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(sqrt.f64 b)
(-.f64 (sqrt.f64 b) (.f64 3/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 27/32 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 3/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 189/128 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (+.f64 (.f64 27/32 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 3/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 c))) (log.f64 (/.f64 1 a)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 c))) (log.f64 (/.f64 1 a))))) (.f64 1/12 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 c))) (log.f64 (/.f64 1 a))))) (pow.f64 b 2)) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 c))) (log.f64 (/.f64 1 a))))) (+.f64 (.f64 1/12 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 c))) (log.f64 (/.f64 1 a))))) (pow.f64 b 2)) (.f64 c a))) (.f64 1/96 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 c))) (log.f64 (/.f64 1 a))))) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 c))) (log.f64 (/.f64 1 a))))) (+.f64 (.f64 1/12 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 c))) (log.f64 (/.f64 1 a))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 7/3456 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 c))) (log.f64 (/.f64 1 a))))) (pow.f64 b 6)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 1/96 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 c))) (log.f64 (/.f64 1 a))))) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 c)) (log.f64 (/.f64 -1 a)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 c)) (log.f64 (/.f64 -1 a))))) (.f64 1/12 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 2)) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 c)) (log.f64 (/.f64 -1 a))))) (+.f64 (.f64 1/12 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 2)) (.f64 c a))) (.f64 1/96 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 c)) (log.f64 (/.f64 -1 a))))) (+.f64 (.f64 1/12 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 7/3456 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 6)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 1/96 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))
(-.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) b)
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a))))))) b)
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))))) (+.f64 b (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 3)))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (+.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 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.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 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) (*.f64 2 b))
(-.f64 (+.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 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) (*.f64 2 b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (+.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 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.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))
(neg.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (+.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 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(sqrt.f64 (.f64 -3 (.f64 c a)))
(-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (.f64 1/6 (.f64 (sqrt.f64 (/.f64 -3 (*.f64 c a))) (pow.f64 b 2))))
(-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 -3 (.f64 c a))) (pow.f64 b 2))) (.f64 1/72 (.f64 (sqrt.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (pow.f64 b 4)))))
(-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 -3 (.f64 c a))) (pow.f64 b 2))) (+.f64 (.f64 1/72 (.f64 (sqrt.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (pow.f64 b 4))) (.f64 1/432 (.f64 (sqrt.f64 (/.f64 -3 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (pow.f64 b 6))))))
b
(-.f64 b (.f64 3/2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 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 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -1 b)
(-.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) b)
(-.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) b)
(-.f64 (+.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 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) b)
b
(-.f64 b (.f64 3/2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 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 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c))))) 2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c))))) 2) (.f64 1/6 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c))))) 2)) (*.f64 c a))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c))))) 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (.f64 1/72 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c))))) 2) (+.f64 (.f64 1/432 (/.f64 (.f64 (pow.f64 b 6) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c))))) 2)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 1/72 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c))))) 2) (pow.f64 b 2)) (*.f64 c a))))))
(pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 a)) (log.f64 (/.f64 -1 c))))) 2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 a)) (log.f64 (/.f64 -1 c))))) 2) (.f64 1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 a)) (log.f64 (/.f64 -1 c))))) 2) (pow.f64 b 2)) (*.f64 c a))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 a)) (log.f64 (/.f64 -1 c))))) 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 a)) (log.f64 (/.f64 -1 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (.f64 1/72 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 a)) (log.f64 (/.f64 -1 c))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 a)) (log.f64 (/.f64 -1 c))))) 2) (+.f64 (.f64 1/432 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 a)) (log.f64 (/.f64 -1 c))))) 2) (pow.f64 b 6)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 a)) (log.f64 (/.f64 -1 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (.f64 1/72 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 a)) (log.f64 (/.f64 -1 c))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
b
(-.f64 b (.f64 3/2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 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 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 c))) (log.f64 (/.f64 1 a))))) 2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 c))) (log.f64 (/.f64 1 a))))) 2) (.f64 1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 c))) (log.f64 (/.f64 1 a))))) 2) (pow.f64 b 2)) (*.f64 c a))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 c))) (log.f64 (/.f64 1 a))))) 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 c))) (log.f64 (/.f64 1 a))))) 2) (pow.f64 b 2)) (.f64 c a))) (.f64 1/72 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 c))) (log.f64 (/.f64 1 a))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 c))) (log.f64 (/.f64 1 a))))) 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 c))) (log.f64 (/.f64 1 a))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 1/432 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 c))) (log.f64 (/.f64 1 a))))) 2) (pow.f64 b 6)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 1/72 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 c))) (log.f64 (/.f64 1 a))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 c)) (log.f64 (/.f64 -1 a))))) 2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 c)) (log.f64 (/.f64 -1 a))))) 2) (.f64 1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 c)) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 b 2)) (*.f64 c a))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 c)) (log.f64 (/.f64 -1 a))))) 2) (+.f64 (.f64 1/72 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 c)) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 c)) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 b 2)) (.f64 c a)))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 c)) (log.f64 (/.f64 -1 a))))) 2) (+.f64 (.f64 1/72 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 c)) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 c)) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 b 2)) (.f64 c a))) (.f64 1/432 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 c)) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 b 6)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))))

Outputs
(pow.f64 (.f64 -3 (.f64 c a)) 1/4)
(pow.f64 (.f64 (.f64 -3 c) a) 1/4)
(pow.f64 (.f64 c (.f64 -3 a)) 1/4)
(-.f64 (pow.f64 (.f64 -3 (.f64 c a)) 1/4) (.f64 1/12 (.f64 (pow.f64 (/.f64 -3 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))))
(+.f64 (pow.f64 (.f64 (.f64 -3 c) a) 1/4) (.f64 -1/12 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b))))
(+.f64 (pow.f64 (.f64 c (.f64 -3 a)) 1/4) (.f64 (.f64 -1/12 (.f64 b b)) (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4)))
(-.f64 (pow.f64 (.f64 -3 (.f64 c a)) 1/4) (+.f64 (.f64 1/96 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (.f64 1/12 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2)))))
(-.f64 (pow.f64 (.f64 (.f64 -3 c) a) 1/4) (fma.f64 1/96 (.f64 (pow.f64 (/.f64 (/.f64 -3 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b 4)) (.f64 1/12 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b b)))))
(-.f64 (pow.f64 (.f64 c (.f64 -3 a)) 1/4) (fma.f64 1/12 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (.f64 (pow.f64 (/.f64 (/.f64 -3 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (*.f64 (pow.f64 b 4) 1/96))))
(-.f64 (pow.f64 (.f64 -3 (.f64 c a)) 1/4) (+.f64 (.f64 1/96 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (.f64 1/12 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (.f64 7/3456 (.f64 (pow.f64 (/.f64 -3 (*.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))))))
(-.f64 (pow.f64 (.f64 (.f64 -3 c) a) 1/4) (fma.f64 1/96 (.f64 (pow.f64 (/.f64 (/.f64 -3 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b 4)) (fma.f64 1/12 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (.f64 7/3456 (.f64 (pow.f64 (/.f64 (/.f64 -3 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b 6))))))
(-.f64 (pow.f64 (.f64 c (.f64 -3 a)) 1/4) (fma.f64 1/96 (.f64 (pow.f64 (/.f64 (/.f64 -3 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b 4)) (fma.f64 7/3456 (.f64 (pow.f64 (/.f64 (/.f64 -3 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b 6)) (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 (.f64 b b) 1/12)))))
(sqrt.f64 b)
(-.f64 (sqrt.f64 b) (.f64 3/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (.f64 (.f64 3/4 (*.f64 c a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(+.f64 (sqrt.f64 b) (.f64 (.f64 -3/4 (*.f64 c a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 27/32 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 3/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(-.f64 (sqrt.f64 b) (fma.f64 27/32 (.f64 (.f64 c c) (.f64 (.f64 a a) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (.f64 3/4 (*.f64 c a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (fma.f64 27/32 (.f64 (.f64 c c) (.f64 a (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 7)))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (.f64 (*.f64 3/4 c) a))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 189/128 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (+.f64 (.f64 27/32 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 3/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(-.f64 (sqrt.f64 b) (fma.f64 189/128 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (fma.f64 27/32 (.f64 (.f64 c c) (.f64 (.f64 a a) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (.f64 3/4 (*.f64 c a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(-.f64 (sqrt.f64 b) (fma.f64 189/128 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (fma.f64 27/32 (.f64 (.f64 c c) (.f64 a (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 7)))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (.f64 (*.f64 3/4 c) a)))))
(sqrt.f64 (*.f64 -1 b))
(sqrt.f64 (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 -1 b)) (.f64 3/4 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (*.f64 c a)) (pow.f64 b 2))))
(+.f64 (sqrt.f64 (neg.f64 b)) (.f64 -3/4 (/.f64 (sqrt.f64 (neg.f64 b)) (/.f64 (.f64 b b) (*.f64 c a)))))
(+.f64 (sqrt.f64 (neg.f64 b)) (/.f64 (.f64 -3/4 (sqrt.f64 (neg.f64 b))) (.f64 (/.f64 b a) (/.f64 b c))))
(-.f64 (sqrt.f64 (.f64 -1 b)) (+.f64 (.f64 27/32 (/.f64 (.f64 (pow.f64 c 2) (.f64 (sqrt.f64 (.f64 -1 b)) (pow.f64 a 2))) (pow.f64 b 4))) (.f64 3/4 (/.f64 (.f64 c (.f64 (sqrt.f64 (*.f64 -1 b)) a)) (pow.f64 b 2)))))
(-.f64 (sqrt.f64 (neg.f64 b)) (fma.f64 27/32 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 4) (.f64 (.f64 a a) (sqrt.f64 (neg.f64 b))))) (.f64 3/4 (/.f64 (.f64 (.f64 c (sqrt.f64 (neg.f64 b))) a) (*.f64 b b)))))
(-.f64 (sqrt.f64 (neg.f64 b)) (fma.f64 3/4 (.f64 (.f64 (/.f64 c b) a) (/.f64 (sqrt.f64 (neg.f64 b)) b)) (.f64 27/32 (.f64 (/.f64 (.f64 c c) (pow.f64 b 4)) (.f64 (*.f64 a a) (sqrt.f64 (neg.f64 b)))))))
(-.f64 (sqrt.f64 (.f64 -1 b)) (+.f64 (.f64 27/32 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))) (+.f64 (.f64 3/4 (/.f64 (.f64 c (.f64 (sqrt.f64 (.f64 -1 b)) a)) (pow.f64 b 2))) (.f64 189/128 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 6))))))
(-.f64 (sqrt.f64 (neg.f64 b)) (fma.f64 27/32 (/.f64 (sqrt.f64 (neg.f64 b)) (/.f64 (pow.f64 b 4) (.f64 (.f64 c c) (.f64 a a)))) (fma.f64 3/4 (/.f64 (.f64 (.f64 c (sqrt.f64 (neg.f64 b))) a) (.f64 b b)) (/.f64 (.f64 189/128 (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (neg.f64 b)))) (pow.f64 b 6)))))
(-.f64 (sqrt.f64 (neg.f64 b)) (fma.f64 27/32 (.f64 (/.f64 (.f64 c c) (pow.f64 b 4)) (.f64 (.f64 a a) (sqrt.f64 (neg.f64 b)))) (fma.f64 3/4 (.f64 (.f64 (/.f64 c b) a) (/.f64 (sqrt.f64 (neg.f64 b)) b)) (.f64 189/128 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 6) (sqrt.f64 (neg.f64 b))))))))
(sqrt.f64 b)
(-.f64 (sqrt.f64 b) (.f64 3/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (.f64 (.f64 3/4 (*.f64 c a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(+.f64 (sqrt.f64 b) (.f64 (.f64 -3/4 (*.f64 c a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 27/32 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 3/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(-.f64 (sqrt.f64 b) (fma.f64 27/32 (.f64 (.f64 c c) (.f64 (.f64 a a) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (.f64 3/4 (*.f64 c a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (fma.f64 27/32 (.f64 (.f64 c c) (.f64 a (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 7)))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (.f64 (*.f64 3/4 c) a))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 189/128 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (+.f64 (.f64 27/32 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 3/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(-.f64 (sqrt.f64 b) (fma.f64 189/128 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (fma.f64 27/32 (.f64 (.f64 c c) (.f64 (.f64 a a) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (.f64 3/4 (*.f64 c a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(-.f64 (sqrt.f64 b) (fma.f64 189/128 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (fma.f64 27/32 (.f64 (.f64 c c) (.f64 a (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 7)))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (.f64 (*.f64 3/4 c) a)))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 -3 a)) (neg.f64 (log.f64 c))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -3 a)) (log.f64 c)))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c))))) (.f64 1/12 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 -3 a)) (neg.f64 (log.f64 c)))) (.f64 -1/12 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 -3 a)) (neg.f64 (log.f64 c)))) a))))
(-.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -3 a)) (log.f64 c))) (.f64 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -3 a)) (log.f64 c))) c) (.f64 (/.f64 b (/.f64 a b)) 1/12)))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c))))) (+.f64 (.f64 1/12 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c)))))) (.f64 c a))) (.f64 1/96 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c)))))) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 -3 a)) (neg.f64 (log.f64 c)))) (fma.f64 1/12 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 -3 a)) (neg.f64 (log.f64 c)))) a)) (/.f64 (.f64 1/96 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 -3 a)) (neg.f64 (log.f64 c)))))) (.f64 (.f64 c c) (.f64 a a)))))
(-.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -3 a)) (log.f64 c))) (fma.f64 1/12 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -3 a)) (log.f64 c))) c)) (.f64 1/96 (.f64 (/.f64 (pow.f64 b 4) (.f64 c (.f64 c (.f64 a a)))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -3 a)) (log.f64 c)))))))
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(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))) 2) (fma.f64 1/72 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))) 2) (.f64 c c)) (/.f64 (pow.f64 b 4) (.f64 a a))) (.f64 1/6 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))) 2) (/.f64 (.f64 c a) (*.f64 b b))))))
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))) 2) (fma.f64 1/6 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))) 2) (.f64 (/.f64 c b) (/.f64 a b))) (.f64 (/.f64 1/72 (.f64 a a)) (/.f64 (pow.f64 b 4) (/.f64 (.f64 c c) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 3)) (log.f64 (/.f64 -1 a)))) 2))))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 c)) (log.f64 (/.f64 -1 a))))) 2) (+.f64 (.f64 1/72 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 c)) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 c)) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 b 2)) (.f64 c a))) (.f64 1/432 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 c)) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 b 6)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))))
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))) 2) (fma.f64 1/72 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))) 2) (.f64 c c)) (/.f64 (pow.f64 b 4) (.f64 a a))) (fma.f64 1/6 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))) 2) (/.f64 (.f64 c a) (.f64 b b))) (.f64 1/432 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))) 2) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 6)))))))
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))) 2) (fma.f64 1/72 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))) 2) (.f64 c c))) (fma.f64 1/6 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))) 2) (.f64 (/.f64 c b) (/.f64 a b))) (.f64 1/432 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))) 2) (pow.f64 c 3)))))))

prune225.0ms (2.7%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	260	8	268
Fresh	4	10	14
Picked	0	1	1
Done	0	1	1
Total	264	20	284

Error

1.3b

Counts

284 → 20

Alt Table

Status	Error	Program
	56.9b	(.f64 (-.f64 b (fma.f64 (.f64 a (/.f64 c b)) -3/2 b)) (/.f64 -1/3 a))
	44.8b	(/.f64 -2/3 (/.f64 a b))
	35.0b	(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b) (*.f64 3 a))
	42.5b	(*.f64 (/.f64 -1/2 b) c)
	34.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 3))) (*.f64 3 a))
	52.6b	(/.f64 (+.f64 (neg.f64 b) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))) 2) (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))) 2) (.f64 (/.f64 c b) (/.f64 a b))) -1/6))) (*.f64 3 a))
	51.9b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 c)) (log.f64 (/.f64 -1 a))))) 2)) (*.f64 3 a))
✓	33.7b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3))))) (/.f64 -1/3 a))
	46.9b	(.f64 (/.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2)) (fma.f64 b b (+.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))) (/.f64 -1/3 a))
✓	34.3b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2)) (*.f64 3 a))
	45.1b	(.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -3)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (/.f64 -1/3 a))
	52.0b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 c))) (log.f64 (/.f64 1 a))))) 2)) (*.f64 3 a))
	45.1b	(-.f64 (.f64 1/2 (/.f64 c b)) (.f64 2/3 (/.f64 b a)))
	47.0b	(neg.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))
	42.4b	(*.f64 -1/2 (/.f64 c b))
	44.8b	(/.f64 (.f64 b -2) (.f64 3 a))
	44.5b	(.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))) a))
	52.1b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 3 a)) (log.f64 (/.f64 -1 c))))) 2)) (*.f64 3 a))
	51.9b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 3 a))) (log.f64 (/.f64 1 c))))) 2)) (*.f64 3 a))
	45.7b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (sqrt.f64 (neg.f64 b)) 2)) (*.f64 3 a))

Compiler

Compiled 9563 to 6418 computations (32.9% saved)

regimes3.4s (39.6%)

Accuracy

Total 9.8b remaining (92.7%)

Threshold costs 0b (0%)

Counts

182 → 3

Compiler

Compiled 3277 to 2105 computations (35.8% saved)

bsearch50.0ms (0.6%)

Algorithm

2×	binary-search

Calls

2 calls:

26.0ms	b
23.0ms	b

Steps

Iters	Point		Range
2.5e-140	∈ [	6.995905346820604e-141	,	2.656916572892484e-140	]
-5.5e+88	∈ [	-4.875274761325675e+90	,	-7.548715587186447e+86	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-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	31	60
1	41	58
2	44	58
3	45	58

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b -55000000000000000418190442266846444607006036045042602923061490852797152944711795342311424) (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b))) (if (<=.f64 b 5363123171977039/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536) (/.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 -55000000000000000418190442266846444607006036045042602923061490852797152944711795342311424) (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b))) (if (<=.f64 b 5363123171977039/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536) (/.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 -55000000000000000418190442266846444607006036045042602923061490852797152944711795342311424) (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b))) (if (<=.f64 b 5363123171977039/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 1 (*.f64 b b) (*.f64 c (*.f64 a -3))))) (*.f64 a 3)) (*.f64 (/.f64 c b) -1/2)))

(if (<=.f64 b -55000000000000000418190442266846444607006036045042602923061490852797152944711795342311424) (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b))) (if (<=.f64 b 5363123171977039/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536) (/.f64 (-.f64 (sqrt.f64 (fma.f64 1 (*.f64 b b) (*.f64 c (*.f64 a -3)))) b) (*.f64 a 3)) (*.f64 (/.f64 c b) -1/2)))

end276.0ms (3.2%)

Stop Event

1×

fuel

Compiler

Compiled 501 to 365 computations (27.1% saved)

Details

analyze1.0s (11.9%)

sample2.4s (28.1%)

preprocess44.0ms (0.5%)

simplify31.0ms (0.4%)

prune3.0ms (0%)

localize9.0ms (0.1%)

series37.0ms (0.4%)

rewrite73.0ms (0.9%)

simplify54.0ms (0.6%)

prune200.0ms (2.4%)

localize9.0ms (0.1%)

series15.0ms (0.2%)

rewrite67.0ms (0.8%)

simplify56.0ms (0.7%)

prune164.0ms (1.9%)

localize10.0ms (0.1%)

series1.0ms (0%)

rewrite27.0ms (0.3%)

simplify9.0ms (0.1%)

prune171.0ms (2%)

localize18.0ms (0.2%)

series36.0ms (0.4%)

rewrite54.0ms (0.6%)

simplify88.0ms (1%)

prune225.0ms (2.7%)

regimes3.4s (39.6%)

bsearch50.0ms (0.6%)

simplify3.0ms (0%)

end276.0ms (3.2%)

Profiling