Details

analyze662.0ms (6.3%)

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
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	68.6%	6.4%	7
31.2%	62.4%	6.4%	8
36.7%	54.6%	8.7%	9
38.2%	48.4%	13.4%	10
42.7%	42.3%	15%	11
47.8%	34.1%	18.1%	12
49.1%	30.3%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.3s (21.4%)

Results

734.0ms	5358×	body	128	valid
595.0ms	1149×	body	2048	valid
328.0ms	790×	body	1024	valid
258.0ms	419×	body	4096	valid
158.0ms	1124×	body	128	invalid
133.0ms	365×	body	512	valid
41.0ms	175×	body	256	valid

Compiler

Compiled 42 to 30 computations (28.6% saved)

preprocess52.0ms (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)

simplify33.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1220×	`fma-neg_binary64`
367×	`fma-def_binary64`
351×	`times-frac_binary64`
266×	`associate-/l*_binary64`
254×	`div-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	30	22
2	69	22
3	160	22
4	264	22
5	433	22
6	744	22
7	1341	22
8	2769	22
9	4702	22

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

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

32.8b

Counts

3 → 2

Alt Table

Status	Error	Program
	32.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
▶	32.9b	(/.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 3 a) c)
✓	0.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
✓	0.8b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
✓	21.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series35.0ms (0.3%)

Counts

4 → 84

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	a	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
3.0ms	a	@	inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
2.0ms	c	@	0	(/.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)))

rewrite67.0ms (0.6%)

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	68
1	302	58
2	4494	58

Stop Event

1×	node limit

Counts

4 → 117

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

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

simplify47.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

766×	`times-frac_binary64`
487×	`associate-/l*_binary64`
403×	`associate-/r*_binary64`
385×	`fma-def_binary64`
136×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	2091
1	423	2069
2	1455	2028

Stop Event

1×	node limit

Counts

201 → 187

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 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))))))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))

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

prune145.0ms (1.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	176	11	187
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	177	12	189

Error

5.6b

Counts

189 → 12

Alt Table

Status	Error	Program
	32.9b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (/.f64 1 (.f64 a -3)))
	39.2b	(*.f64 (/.f64 -1/2 b) c)
▶	32.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	39.1b	(*.f64 -1/2 (/.f64 c b))
	34.5b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2)) (*.f64 3 a))
	55.7b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 3 a))
	45.9b	(-.f64 (.f64 1/2 (/.f64 c b)) (.f64 2/3 (/.f64 b a)))
	46.1b	(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 3/2 (.f64 (/.f64 a b) c)) b)) (*.f64 3 a))
	46.5b	(.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)))
	45.6b	(/.f64 (.f64 -2 b) (.f64 3 a))
	45.2b	(/.f64 (.f64 (.f64 (/.f64 a b) c) -3/2) (*.f64 3 a))
	43.1b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a))

Compiler

Compiled 4907 to 3096 computations (36.9% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
✓	0.4b	(/.f64 1/3 a)
✓	0.8b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)
✓	21.7b	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3))))

series15.0ms (0.1%)

Counts

4 → 60

Calls

30 calls:

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

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`prod-diff_binary64`
143×	`add-sqr-sqrt_binary64`
136×	`*-un-lft-identity_binary64`
136×	`pow1_binary64`
133×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	282	52
2	3654	52

Stop Event

1×	node limit

Counts

4 → 152

Calls

Call 1

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

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

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

766×	`times-frac_binary64`
487×	`associate-/l*_binary64`
403×	`associate-/r*_binary64`
385×	`fma-def_binary64`
136×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	1923
1	423	1901
2	1455	1860

Stop Event

1×	node limit

Counts

212 → 221

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

prune169.0ms (1.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	215	6	221
Fresh	5	6	11
Picked	0	1	1
Done	0	0	0
Total	220	13	233

Error

5.6b

Counts

233 → 13

Alt Table

Status	Error	Program
	47.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (.f64 (cbrt.f64 (/.f64 1/3 a)) (cbrt.f64 (/.f64 1/9 (*.f64 a a)))))
	46.1b	(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 3/2 (.f64 (/.f64 a b) c)) b)) (*.f64 3 a))
✓	32.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	39.1b	(*.f64 -1/2 (/.f64 c b))
	33.1b	(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b) (*.f64 a 3))
	55.7b	(*.f64 (-.f64 b b) (/.f64 1/3 a))
	45.9b	(-.f64 (.f64 1/2 (/.f64 c b)) (.f64 2/3 (/.f64 b a)))
▶	32.9b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (/.f64 1 (.f64 a -3)))
	33.4b	(/.f64 (/.f64 (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b) 1/3) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	45.3b	(.f64 (.f64 (*.f64 (/.f64 a b) c) -3/2) (/.f64 1/3 a))
	45.6b	(/.f64 (.f64 -2 b) (.f64 3 a))
	33.1b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b) 1/3)))
	43.1b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a))

Compiler

Compiled 5772 to 3674 computations (36.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 c (.f64 a -3))
✓	0.3b	(/.f64 1 (*.f64 a -3))
✓	0.8b	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))
✓	21.7b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))

series16.0ms (0.2%)

Counts

4 → 76

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	c	@	-inf	(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	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)))))

rewrite70.0ms (0.7%)

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	43
1	253	38
2	3208	38

Stop Event

1×	node limit

Counts

4 → 128

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)))))
(/.f64 1 (*.f64 a -3))
(.f64 c (.f64 a -3))

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

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

455×	`times-frac_binary64`
393×	`fma-neg_binary64`
274×	`associate-/l*_binary64`
267×	`associate-r_binary64`
253×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	1450
1	254	1438
2	802	1424
3	4403	1422

Stop Event

1×	node limit

Counts

204 → 178

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 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))

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

prune159.0ms (1.5%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	176	2	178
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	176	15	191

Error

5.6b

Counts

191 → 15

Alt Table

Status	Error	Program
	47.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (.f64 (cbrt.f64 (/.f64 1/3 a)) (cbrt.f64 (/.f64 1/9 (*.f64 a a)))))
	46.1b	(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 3/2 (.f64 (/.f64 a b) c)) b)) (*.f64 3 a))
✓	32.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	39.1b	(*.f64 -1/2 (/.f64 c b))
	46.0b	(.f64 (-.f64 b (-.f64 (.f64 3/2 (/.f64 a (/.f64 b c))) b)) (/.f64 1 (*.f64 a -3)))
	45.6b	(/.f64 (.f64 -2 b) (.f64 3 a))
	33.3b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a -3)) 2) -1) (pow.f64 (cbrt.f64 (.f64 a -3)) -1)))
▶	33.1b	(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b) (*.f64 a 3))
	55.7b	(*.f64 (-.f64 b b) (/.f64 1/3 a))
	45.9b	(-.f64 (.f64 1/2 (/.f64 c b)) (.f64 2/3 (/.f64 b a)))
✓	32.9b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (/.f64 1 (.f64 a -3)))
	33.4b	(/.f64 (/.f64 (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b) 1/3) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	45.3b	(.f64 (.f64 (*.f64 (/.f64 a b) c) -3/2) (/.f64 1/3 a))
	33.1b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b) 1/3)))
	43.1b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a))

Compiler

Compiled 5863 to 3994 computations (31.9% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b) (*.f64 a 3))
✓	0.2b	(.f64 a (.f64 c -3))
✓	0.8b	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)
✓	13.9b	(sqrt.f64 (.f64 a (.f64 c -3)))

series55.0ms (0.5%)

Counts

4 → 48

Calls

30 calls:

Time	Variable		Point	Expression
8.0ms	a	@	-inf	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)
5.0ms	a	@	-inf	(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b) (*.f64 a 3))
4.0ms	c	@	inf	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)
4.0ms	c	@	-inf	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)
4.0ms	a	@	inf	(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b) (*.f64 a 3))

rewrite208.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

937×	`prod-diff_binary64`
366×	`egg-rr`
145×	`add-sqr-sqrt_binary64`
140×	`pow1_binary64`
139×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	284	52
2	3885	52

Stop Event

1×	node limit

Counts

4 → 458

Calls

Call 1

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

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

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

720×	`times-frac_binary64`
383×	`associate-/l*_binary64`
336×	`associate-/r*_binary64`
278×	`associate-r_binary64`
251×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	1172
1	328	1086
2	1072	1029

Stop Event

1×	node limit

Counts

506 → 508

Calls

Call 1

Inputs
(sqrt.f64 (.f64 -3 (.f64 c a)))
(-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)
(-.f64 (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -3 (*.f64 c a)))))) b)
(-.f64 (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -3 (.f64 c a)))))) (+.f64 b (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 3)))))
(.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 2) b))
(-.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (pow.f64 b 5)))) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 4) (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (pow.f64 b 5)))) (+.f64 (.f64 5/128 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 8) (pow.f64 b 7))) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3)))))
(*.f64 -2 b)
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (.f64 2 b)))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (*.f64 2 b)))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (+.f64 (.f64 2 b) (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (pow.f64 b 5))))))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 1/3 (/.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) a))
(-.f64 (.f64 1/3 (/.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a)) (.f64 1/3 (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a)) (.f64 1/6 (/.f64 (pow.f64 b 2) (.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a)))) (.f64 1/3 (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a)) (.f64 1/6 (/.f64 (pow.f64 b 2) (.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a)))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 3) a))) (.f64 1/3 (/.f64 b a))))
(.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (.f64 a b)))
(-.f64 (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (.f64 a b))) (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))))
(-.f64 (+.f64 (.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (.f64 a (pow.f64 b 5)))) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (.f64 a b)))) (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))))
(-.f64 (+.f64 (.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (.f64 a (pow.f64 b 5)))) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (.f64 a b)))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (.f64 5/384 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 8) (.f64 a (pow.f64 b 7))))))
(*.f64 -2/3 (/.f64 b a))
(neg.f64 (+.f64 (.f64 2/3 (/.f64 b a)) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (*.f64 a b)))))
(-.f64 (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (+.f64 (.f64 2/3 (/.f64 b a)) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (*.f64 a b)))))
(-.f64 (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (.f64 a (pow.f64 b 5)))) (+.f64 (.f64 2/3 (/.f64 b a)) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (*.f64 a b))))))

Outputs
(sqrt.f64 (.f64 -3 (.f64 c a)))
(sqrt.f64 (.f64 (.f64 -3 c) a))
(-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)
(-.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) b)
(-.f64 (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -3 (*.f64 c a)))))) b)
(+.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) (-.f64 (/.f64 (.f64 1/2 (.f64 b b)) (sqrt.f64 (.f64 (.f64 -3 c) a))) b))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (sqrt.f64 (.f64 -3 (*.f64 c a)))) b)
(fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) b) (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b))
(-.f64 (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -3 (.f64 c a)))))) (+.f64 b (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 3)))))
(-.f64 (+.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) (/.f64 (.f64 1/2 (.f64 b b)) (sqrt.f64 (.f64 (.f64 -3 c) a)))) (+.f64 b (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 (*.f64 -3 c) a)) 3)))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (sqrt.f64 (.f64 -3 (.f64 c a)))) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 3)) b))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 3)) b))
(.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 2) b))
(.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 (*.f64 -3 c) a)) 2) b))
(.f64 1/2 (/.f64 (.f64 -3 (*.f64 c a)) b))
(/.f64 (.f64 (.f64 c a) -3/2) b)
(-.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 2) b)) (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 4) (pow.f64 b 3))))
(fma.f64 1/2 (/.f64 (.f64 -3 (.f64 c a)) b) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 4) (pow.f64 b 3)) -1/8))
(fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3)) -1/8 (/.f64 (.f64 (.f64 c a) -3/2) b))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (pow.f64 b 5)))) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 4) (pow.f64 b 3))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 2) b) (/.f64 (.f64 1/16 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 6)) (pow.f64 b 5))) (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 4) (pow.f64 b 3))))
(fma.f64 1/2 (/.f64 (.f64 -3 (.f64 c a)) b) (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 4) (pow.f64 b 3)) -1/8)))
(fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3)) -1/8 (fma.f64 1/16 (/.f64 (pow.f64 (.f64 -3 (.f64 c a)) 3) (pow.f64 b 5)) (/.f64 (.f64 (.f64 c a) -3/2) b)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (pow.f64 b 5)))) (+.f64 (.f64 5/128 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 8) (pow.f64 b 7))) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3)))))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 2) b) (/.f64 (.f64 1/16 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 6)) (pow.f64 b 5))) (fma.f64 5/128 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 8) (pow.f64 b 7)) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 4) (pow.f64 b 3)))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 -3 (.f64 c a)) b) (/.f64 1/16 (/.f64 (pow.f64 b 5) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6)))) (fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3)) (.f64 5/128 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 8) (pow.f64 b 7)))))
(+.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3)) -1/8 (fma.f64 1/16 (/.f64 (pow.f64 (.f64 -3 (.f64 c a)) 3) (pow.f64 b 5)) (/.f64 (.f64 (.f64 c a) -3/2) b))) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 8) (pow.f64 b 7)) -5/128))
(*.f64 -2 b)
(*.f64 b -2)
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (.f64 2 b)))
(neg.f64 (fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 2) b) (*.f64 b 2)))
(-.f64 (.f64 b -2) (.f64 1/2 (/.f64 (.f64 -3 (.f64 c a)) b)))
(-.f64 (.f64 b -2) (/.f64 (.f64 (*.f64 c a) -3/2) b))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (*.f64 2 b)))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 4) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 2) b) (.f64 b 2)))
(+.f64 (fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3)) (.f64 (/.f64 (.f64 -3 (.f64 c a)) b) -1/2)) (.f64 b -2))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3))) (fma.f64 b 2 (/.f64 (.f64 (*.f64 c a) -3/2) b)))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (+.f64 (.f64 2 b) (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (pow.f64 b 5))))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 4) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 2) b) (fma.f64 2 b (/.f64 (.f64 1/16 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 6)) (pow.f64 b 5)))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (.f64 -3 (.f64 c a)) b) (fma.f64 b 2 (/.f64 1/16 (/.f64 (pow.f64 b 5) (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 6))))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3))) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 -3 (.f64 c a)) 3) (pow.f64 b 5)) (fma.f64 b 2 (/.f64 (.f64 (*.f64 c a) -3/2) b))))
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 1/3 (/.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) a))
(.f64 1/3 (/.f64 (sqrt.f64 (.f64 (*.f64 -3 c) a)) a))
(.f64 (/.f64 1/3 a) (sqrt.f64 (.f64 -3 (*.f64 c a))))
(-.f64 (.f64 1/3 (/.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a)) (.f64 1/3 (/.f64 b a)))
(.f64 1/3 (-.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 -3 c) a)) a) (/.f64 b a)))
(.f64 1/3 (-.f64 (/.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) a) (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a)) (.f64 1/6 (/.f64 (pow.f64 b 2) (.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a)))) (.f64 1/3 (/.f64 b a)))
(+.f64 (fma.f64 1/3 (/.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) a) (/.f64 (.f64 1/6 (.f64 b b)) (.f64 a (sqrt.f64 (.f64 (.f64 -3 c) a))))) (.f64 -1/3 (/.f64 b a)))
(fma.f64 1/3 (/.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a) (fma.f64 1/6 (.f64 (/.f64 b a) (/.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))) (/.f64 (.f64 -1/3 b) a)))
(fma.f64 1/6 (/.f64 (/.f64 (.f64 b b) a) (sqrt.f64 (.f64 -3 (.f64 c a)))) (.f64 1/3 (-.f64 (/.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a) (/.f64 b a))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a)) (.f64 1/6 (/.f64 (pow.f64 b 2) (.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a)))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 3) a))) (.f64 1/3 (/.f64 b a))))
(-.f64 (fma.f64 1/3 (/.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) a) (/.f64 (.f64 1/6 (.f64 b b)) (.f64 a (sqrt.f64 (.f64 (.f64 -3 c) a))))) (fma.f64 1/24 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 3))) (/.f64 (*.f64 1/3 b) a)))
(-.f64 (fma.f64 1/3 (/.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a) (.f64 1/6 (.f64 (/.f64 b a) (/.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))))) (fma.f64 1/3 (/.f64 b a) (.f64 1/24 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 3))))))
(fma.f64 1/3 (/.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a) (fma.f64 1/6 (/.f64 (/.f64 (.f64 b b) a) (sqrt.f64 (.f64 -3 (.f64 c a)))) (fma.f64 (/.f64 b a) -1/3 (.f64 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 3))) -1/24))))
(.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (.f64 a b)))
(.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 2) (.f64 a b)))
(.f64 1/6 (/.f64 (.f64 -3 (.f64 c a)) (.f64 a b)))
(/.f64 (.f64 (.f64 c a) -1/2) (*.f64 a b))
(-.f64 (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (.f64 a b))) (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 2) (.f64 a b))) (.f64 -1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 4) (.f64 a (pow.f64 b 3)))))
(fma.f64 1/6 (/.f64 (.f64 -3 (.f64 c a)) (.f64 a b)) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (*.f64 a (pow.f64 b 3))) -1/24))
(fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))) -1/24 (/.f64 (.f64 (.f64 c a) -1/2) (.f64 a b)))
(-.f64 (+.f64 (.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (.f64 a (pow.f64 b 5)))) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (.f64 a b)))) (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))))
(+.f64 (fma.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 6) (.f64 a (pow.f64 b 5))) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 2) (.f64 a b)))) (.f64 -1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 4) (*.f64 a (pow.f64 b 3)))))
(fma.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (.f64 a (pow.f64 b 5))) (fma.f64 1/6 (/.f64 (.f64 -3 (.f64 c a)) (.f64 a b)) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))) -1/24)))
(fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))) -1/24 (fma.f64 (/.f64 1/48 (pow.f64 b 5)) (/.f64 (pow.f64 (.f64 -3 (.f64 c a)) 3) a) (/.f64 (.f64 (.f64 c a) -1/2) (.f64 a b))))
(-.f64 (+.f64 (.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (.f64 a (pow.f64 b 5)))) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (.f64 a b)))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (.f64 5/384 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 8) (.f64 a (pow.f64 b 7))))))
(-.f64 (fma.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 6) (.f64 a (pow.f64 b 5))) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 2) (.f64 a b)))) (fma.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 4) (.f64 a (pow.f64 b 3))) (.f64 5/384 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 8) (.f64 a (pow.f64 b 7))))))
(-.f64 (fma.f64 1/6 (/.f64 (.f64 -3 (.f64 c a)) (.f64 a b)) (.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (.f64 a (pow.f64 b 5))))) (fma.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))) (.f64 5/384 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 8) (.f64 a (pow.f64 b 7))))))
(-.f64 (fma.f64 (/.f64 1/48 (pow.f64 b 5)) (/.f64 (pow.f64 (.f64 -3 (.f64 c a)) 3) a) (/.f64 (.f64 (.f64 c a) -1/2) (.f64 a b))) (fma.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))) (.f64 (/.f64 5/384 (.f64 a (pow.f64 b 7))) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 8))))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(*.f64 (/.f64 b a) -2/3)
(neg.f64 (+.f64 (.f64 2/3 (/.f64 b a)) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (*.f64 a b)))))
(neg.f64 (fma.f64 2/3 (/.f64 b a) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 2) (.f64 a b)))))
(+.f64 (.f64 (/.f64 b a) -2/3) (.f64 (/.f64 (.f64 -3 (.f64 c a)) (*.f64 a b)) -1/6))
(-.f64 (.f64 (/.f64 b a) -2/3) (/.f64 (.f64 (.f64 c a) -1/2) (.f64 a b)))
(-.f64 (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (+.f64 (.f64 2/3 (/.f64 b a)) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (*.f64 a b)))))
(-.f64 (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 4) (.f64 a (pow.f64 b 3)))) (fma.f64 2/3 (/.f64 b a) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 2) (.f64 a b)))))
(-.f64 (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (fma.f64 (/.f64 b a) 2/3 (.f64 1/6 (/.f64 (.f64 -3 (.f64 c a)) (.f64 a b)))))
(-.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3)) (/.f64 1/24 a)) (fma.f64 (/.f64 b a) 2/3 (/.f64 (.f64 (.f64 c a) -1/2) (.f64 a b))))
(-.f64 (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (.f64 a (pow.f64 b 5)))) (+.f64 (.f64 2/3 (/.f64 b a)) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (*.f64 a b))))))
(-.f64 (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 4) (.f64 a (pow.f64 b 3)))) (fma.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 6) (.f64 a (pow.f64 b 5))) (fma.f64 2/3 (/.f64 b a) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 2) (*.f64 a b))))))
(-.f64 (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (fma.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (.f64 a (pow.f64 b 5))) (fma.f64 (/.f64 b a) 2/3 (.f64 1/6 (/.f64 (.f64 -3 (.f64 c a)) (*.f64 a b))))))
(-.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3)) (/.f64 1/24 a)) (fma.f64 (/.f64 b a) 2/3 (fma.f64 (/.f64 1/48 (pow.f64 b 5)) (/.f64 (pow.f64 (.f64 -3 (.f64 c a)) 3) a) (/.f64 (.f64 (.f64 c a) -1/2) (.f64 a b)))))

prune508.0ms (4.8%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	503	5	508
Fresh	4	8	12
Picked	1	0	1
Done	0	2	2
Total	508	15	523

Error

3.4b

Counts

523 → 15

Alt Table

Status	Error	Program
	33.1b	(.f64 (/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (*.f64 a c)))) b) a) 1/3)
	46.1b	(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 3/2 (.f64 (/.f64 a b) c)) b)) (*.f64 3 a))
✓	32.9b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (/.f64 1 (.f64 a -3)))
	47.7b	(/.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (.f64 c -3)) (sqrt.f64 a))) b) (*.f64 a 3))
✓	32.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	39.1b	(*.f64 -1/2 (/.f64 c b))
	46.0b	(.f64 (-.f64 b (-.f64 (.f64 3/2 (/.f64 a (/.f64 b c))) b)) (/.f64 1 (*.f64 a -3)))
	45.6b	(/.f64 (.f64 -2 b) (.f64 3 a))
	33.3b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a -3)) 2) -1) (pow.f64 (cbrt.f64 (.f64 a -3)) -1)))
	55.7b	(*.f64 (-.f64 b b) (/.f64 1/3 a))
	45.6b	(*.f64 (/.f64 b a) -2/3)
	33.4b	(/.f64 (/.f64 (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b) 1/3) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	38.3b	(+.f64 (fma.f64 1 (.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) (/.f64 1/3 a)) (neg.f64 (.f64 (/.f64 b 3) (/.f64 1 a)))) (fma.f64 (neg.f64 (/.f64 b 3)) (/.f64 1 a) (*.f64 (/.f64 b 3) (/.f64 1 a))))
	45.3b	(.f64 (.f64 (*.f64 (/.f64 a b) c) -3/2) (/.f64 1/3 a))
	33.1b	(pow.f64 (/.f64 a (/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) b) 3)) -1)

Compiler

Compiled 23922 to 14814 computations (38.1% saved)

regimes5.5s (52.2%)

Accuracy

Total 7.6b remaining (74.1%)

Threshold costs 0b (0%)

Counts

210 → 3

Compiler

Compiled 3801 to 2400 computations (36.9% saved)

bsearch76.0ms (0.7%)

Algorithm

2×	binary-search

Calls

2 calls:

62.0ms	b
11.0ms	b

Steps

Iters	Point		Range
7.6e-35	∈ [	5.211169280083627e-38	,	4.231882444955968e-33	]
-1e+154	∈ [	-3.4658519146892216e+158	,	-2.0940281063362988e+144	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	52
1	32	52

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432) (/.f64 (*.f64 -2 b) (*.f64 3 a)) (if (<=.f64 b 888592995497189/11692013098647223345629478661730264157247460343808) (/.f64 (fma.f64 -1 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3))))) (*.f64 3 a)) (*.f64 -1/2 (/.f64 c b))))

Outputs

(if (<=.f64 b -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432) (/.f64 (*.f64 -2 b) (*.f64 3 a)) (if (<=.f64 b 888592995497189/11692013098647223345629478661730264157247460343808) (/.f64 (fma.f64 -1 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3))))) (*.f64 3 a)) (*.f64 -1/2 (/.f64 c b))))

(if (<=.f64 b -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432) (/.f64 (*.f64 b -2) (*.f64 3 a)) (if (<=.f64 b 888592995497189/11692013098647223345629478661730264157247460343808) (/.f64 (fma.f64 -1 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3))))) (*.f64 3 a)) (*.f64 -1/2 (/.f64 c b))))

end200.0ms (1.9%)

Stop Event

1×

fuel

Compiler

Compiled 353 to 253 computations (28.3% saved)

Details

analyze662.0ms (6.3%)

sample2.3s (21.4%)

preprocess52.0ms (0.5%)

simplify33.0ms (0.3%)

prune3.0ms (0%)

localize9.0ms (0.1%)

series35.0ms (0.3%)

rewrite67.0ms (0.6%)

simplify47.0ms (0.4%)

prune145.0ms (1.4%)

localize9.0ms (0.1%)

series15.0ms (0.1%)

rewrite66.0ms (0.6%)

simplify46.0ms (0.4%)

prune169.0ms (1.6%)

localize9.0ms (0.1%)

series16.0ms (0.2%)

rewrite70.0ms (0.7%)

simplify60.0ms (0.6%)

prune159.0ms (1.5%)

localize8.0ms (0.1%)

series55.0ms (0.5%)

rewrite208.0ms (2%)

simplify62.0ms (0.6%)

prune508.0ms (4.8%)

regimes5.5s (52.2%)

bsearch76.0ms (0.7%)

simplify3.0ms (0%)

end200.0ms (1.9%)

Profiling