Details

analyze307.0ms (4.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	93.6%	6.4%	7
6.2%	87.4%	6.4%	8
10.1%	81.1%	8.7%	9
15.6%	71%	13.4%	10
22%	63%	15%	11
29.1%	52.9%	18.1%	12

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.6s (41%)

Results

760.0ms	1164×	body	2048	valid
715.0ms	5256×	body	64	valid
382.0ms	739×	body	1024	valid
309.0ms	432×	body	4096	valid
200.0ms	1602×	body	64	invalid
157.0ms	369×	body	512	valid
66.0ms	192×	body	256	valid
24.0ms	104×	body	128	valid

preprocess83.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	104
1	92	88
2	213	88
3	440	88
4	758	88
5	1251	88
6	2221	88
7	4457	88
8	7233	88
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 20 to 14 computations (30% saved)

simplify71.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1220×	`fma-neg_binary64`
827×	`fma-def_binary64`
738×	`div-sub_binary64`
408×	`associate-/l/_binary64`
351×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	30	22
2	69	22
3	160	22
4	264	22
5	433	22
6	744	22
7	1341	22
8	2769	22
9	4702	22
10	6065	22
11	6674	22
12	6851	22
13	6956	22
14	7439	22

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune3.0ms (0.1%)

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

32.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	32.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
▶	32.1b	(/.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)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 3 a) c)
✓	0.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
✓	0.8b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
✓	22.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series29.0ms (0.4%)

Counts

4 → 84

Calls

33 calls:

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

rewrite159.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

735×	`log-prod_binary64`
725×	`fma-def_binary64`
366×	`fma-neg_binary64`
248×	`expm1-udef_binary64`
248×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	302	58
2	4494	55

Stop Event

1×	node limit

Counts

4 → 155

Calls

Call 1

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

simplify177.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

784×	`fma-def_binary64`
690×	`associate-/l*_binary64`
608×	`associate-/r*_binary64`
403×	`associate-*l/_binary64`
400×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	2150
1	536	2120
2	1943	2042
3	7077	2042

Stop Event

1×	node limit

Counts

239 → 232

Calls

Call 1

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

prune295.0ms (4.6%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	217	15	232
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	217	17	234

Error

6.7b

Counts

234 → 17

Alt Table

Status	Error	Program
	32.5b	(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (/.f64 1 (.f64 a -3)))
	44.7b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (.f64 3 a))
	42.5b	(.f64 1/3 (/.f64 (sqrt.f64 (.f64 a (*.f64 c -3))) a))
	56.7b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 3 a))
	45.5b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) 2) a) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))))) 3))
▶	32.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
✓	32.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	48.4b	(fma.f64 -1/2 (/.f64 c b) (/.f64 (.f64 (.f64 c c) (*.f64 a -3/8)) (pow.f64 b 3)))
	44.8b	(*.f64 (/.f64 b a) -2/3)
	59.1b	(pow.f64 (pow.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) (/.f64 1/3 a)) 3) 1/3)
	36.5b	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (cbrt.f64 b)) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (*.f64 3 a))
	38.2b	(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
	32.8b	(/.f64 (+.f64 (neg.f64 b) (.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))))))) (.f64 3 a))
	46.7b	(/.f64 (.f64 (/.f64 (.f64 c -3/2) b) a) (*.f64 3 a))
	42.8b	(*.f64 -1/2 (/.f64 c b))
	44.9b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))
	44.7b	(/.f64 (.f64 b -2) (.f64 3 a))

Compiler

Compiled 6297 to 4106 computations (34.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(fma.f64 b b (.f64 a (.f64 c -3)))
✓	0.4b	(/.f64 1/3 a)
✓	0.8b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)
✓	22.8b	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3))))

series14.0ms (0.2%)

Counts

4 → 76

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	c	@	inf	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3))))
1.0ms	b	@	0	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3))))
1.0ms	b	@	0	(fma.f64 b b (.f64 a (.f64 c -3)))
0.0ms	b	@	-inf	(fma.f64 b b (.f64 a (.f64 c -3)))
0.0ms	b	@	inf	(fma.f64 b b (.f64 a (.f64 c -3)))

rewrite82.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 187

Calls

Call 1

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

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

simplify78.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

749×	`times-frac_binary64`
621×	`associate-r_binary64`
581×	`associate-l_binary64`
504×	`fma-def_binary64`
428×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	1665
1	342	1594
2	1194	1555
3	7324	1555

Stop Event

1×	node limit

Counts

263 → 241

Calls

Call 1

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

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

prune422.0ms (6.5%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	234	7	241
Fresh	6	9	15
Picked	1	0	1
Done	1	0	1
Total	242	16	258

Error

6.7b

Counts

258 → 16

Alt Table

Status	Error	Program
	41.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
	42.5b	(.f64 1/3 (/.f64 (sqrt.f64 (.f64 a (*.f64 c -3))) a))
	45.5b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) 2) a) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))))) 3))
	32.7b	(.f64 (-.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) 2) (cbrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))))) b) (/.f64 1/3 a))
	56.7b	(*.f64 (-.f64 b b) (/.f64 1/3 a))
	46.6b	(.f64 (.f64 -3/2 (*.f64 a (/.f64 c b))) (/.f64 1/3 a))
	48.4b	(fma.f64 -1/2 (/.f64 c b) (/.f64 (.f64 (.f64 c c) (*.f64 a -3/8)) (pow.f64 b 3)))
	45.0b	(.f64 (fma.f64 b -2 (.f64 (/.f64 (*.f64 c 3/2) b) a)) (/.f64 1/3 a))
	38.2b	(.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))))) b) (/.f64 1/3 a))
	44.8b	(*.f64 (/.f64 b a) -2/3)
	36.5b	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (cbrt.f64 b)) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (*.f64 3 a))
▶	32.5b	(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (/.f64 1 (.f64 a -3)))
	46.7b	(/.f64 (.f64 (/.f64 (.f64 c -3/2) b) a) (*.f64 3 a))
	42.8b	(*.f64 -1/2 (/.f64 c b))
	41.7b	(.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b) 3)) (/.f64 1/3 a))
	44.7b	(/.f64 (.f64 b -2) (.f64 3 a))

Compiler

Compiled 6392 to 4057 computations (36.5% 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))
✓	0.5b	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))
✓	14.9b	(sqrt.f64 (.f64 c (.f64 a -3)))

series49.0ms (0.8%)

Counts

4 → 48

Calls

24 calls:

Time	Variable		Point	Expression
23.0ms	b	@	inf	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))
4.0ms	c	@	-inf	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))
3.0ms	a	@	-inf	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))
3.0ms	c	@	inf	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))
2.0ms	c	@	0	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))

rewrite131.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

591×	`log-prod_binary64`
566×	`prod-diff_binary64`
317×	`pow2_binary64`
229×	`fma-def_binary64`
220×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	255	35
2	3207	35

Stop Event

1×	node limit

Counts

4 → 172

Calls

Call 1

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

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

simplify50.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

925×	`fma-def_binary64`
700×	`unswap-sqr_binary64`
413×	`associate-/l/_binary64`
331×	`associate-/r/_binary64`
272×	`times-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	678
1	186	638
2	518	592
3	2600	573
4	5276	571

Stop Event

1×	node limit

Counts

220 → 199

Calls

Call 1

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

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

prune425.0ms (6.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	196	3	199
Fresh	5	10	15
Picked	0	1	1
Done	0	0	0
Total	201	14	215

Error

1.6b

Counts

215 → 14

Alt Table

Status	Error	Program
	41.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
	42.5b	(.f64 1/3 (/.f64 (sqrt.f64 (.f64 a (*.f64 c -3))) a))
	45.5b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) 2) a) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))))) 3))
	32.7b	(.f64 (-.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) 2) (cbrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))))) b) (/.f64 1/3 a))
	56.7b	(*.f64 (-.f64 b b) (/.f64 1/3 a))
	44.7b	(/.f64 (.f64 b -2) (.f64 3 a))
▶	31.2b	(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) 2) 9))))) (/.f64 1 (.f64 a -3)))
	44.8b	(*.f64 (/.f64 b a) -2/3)
	36.5b	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (cbrt.f64 b)) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (*.f64 3 a))
✓	32.5b	(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (/.f64 1 (.f64 a -3)))
	37.6b	(.f64 (-.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (.f64 c (/.f64 a -1/3)) 3/2)))) (/.f64 1 (*.f64 a -3)))
	48.4b	(fma.f64 -1/2 (/.f64 c b) (/.f64 (.f64 (.f64 c c) (*.f64 a -3/8)) (pow.f64 b 3)))
	42.8b	(*.f64 -1/2 (/.f64 c b))
	45.4b	(.f64 (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 (/.f64 a -1/3)) (sqrt.f64 c)))) (/.f64 1 (*.f64 a -3)))

Compiler

Compiled 5809 to 4012 computations (30.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1 (*.f64 a -3))
✓	0.8b	(-.f64 b (hypot.f64 b (sqrt.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) 2) 9)))))
✓	15.3b	(sqrt.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) 2) 9)))
✓	19.8b	(sqrt.f64 (.f64 (pow.f64 (.f64 c a) 2) 9))

series20.0ms (0.3%)

Counts

3 → 36

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	b	@	inf	(-.f64 b (hypot.f64 b (sqrt.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) 2) 9)))))
2.0ms	c	@	0	(-.f64 b (hypot.f64 b (sqrt.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) 2) 9)))))
2.0ms	a	@	0	(-.f64 b (hypot.f64 b (sqrt.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) 2) 9)))))
1.0ms	c	@	inf	(-.f64 b (hypot.f64 b (sqrt.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) 2) 9)))))
1.0ms	a	@	inf	(-.f64 b (hypot.f64 b (sqrt.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) 2) 9)))))

rewrite78.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`log-prod_binary64`
509×	`prod-diff_binary64`
325×	`pow2_binary64`
242×	`pow-unpow_binary64`
236×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	278	31
2	3312	31

Stop Event

1×	node limit

Counts

3 → 154

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (pow.f64 (.f64 c a) 2) 9))
(sqrt.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) 2) 9)))
(-.f64 b (hypot.f64 b (sqrt.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) 2) 9)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 c a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 a) c) 2)) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) c) 3))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) c) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 c a) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c a) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c a) (pow.f64 9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 c a) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 c a) 3)) (sqrt.f64 (*.f64 (*.f64 c a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 c a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 c a) 3)) 2) (cbrt.f64 (*.f64 (*.f64 c a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 c a) 3)) (pow.f64 (cbrt.f64 (*.f64 (*.f64 c a) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 c a) 3)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 c a) 3))) (sqrt.f64 (*.f64 (*.f64 c a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 c a) 3) 1/4) (*.f64 (pow.f64 (*.f64 (*.f64 c a) 3) 1/4) (sqrt.f64 (*.f64 (*.f64 c a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 c a) 3) 1/4) 3) (pow.f64 (*.f64 (*.f64 c a) 3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 c a) 4) 81))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 c a) 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 9 1/2) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (*.f64 c a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) 3)) (cbrt.f64 (*.f64 (*.f64 c a) 3))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 c a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 c a) 2) 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c a) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 c a) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 c a) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 c a) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 c a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) c) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 c a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 c a) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 c a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (*.f64 c a) 3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 c a) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 c a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 c a) 3)))))))

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

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

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

748×	`associate-r_binary64`
672×	`unswap-sqr_binary64`
640×	`associate-l_binary64`
533×	`times-frac_binary64`
413×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	720
1	276	620
2	973	588
3	6324	578

Stop Event

1×	node limit

Counts

190 → 180

Calls

Call 1

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

Outputs
(.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 (.f64 c a) -3)
(.f64 (.f64 -3 a) c)
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 (.f64 -3 a) c)
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 (.f64 -3 a) c)
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 (.f64 -3 a) c)
(.f64 c (.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 (.f64 c a) -3)
(.f64 (.f64 -3 a) c)
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 (.f64 -3 a) c)
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 (.f64 -3 a) c)
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 (.f64 -3 a) c)
(.f64 c (.f64 a -3))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 3)))
(neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 3)))
(.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 3)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 3))) b)
(fma.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 3)) b)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 3) b)
(-.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 3)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 3))) (+.f64 b (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 3))))))
(+.f64 (fma.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 3)) b) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 3)))))
(-.f64 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 3) b))) b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 3)))
(-.f64 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (.f64 b b) (sqrt.f64 3))) b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 3)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 3))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 3) 3)))) (+.f64 b (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 3)))))))
(fma.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 3)) (fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 3) 3))) (+.f64 b (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 3)))))))
(-.f64 (fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 3 (sqrt.f64 3)))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 3) b))) b)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 3)))
(+.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (sqrt.f64 3) (pow.f64 b 4))) 1/24) (-.f64 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (.f64 b b) (sqrt.f64 3))) b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 3))))
(+.f64 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (.f64 b b) (sqrt.f64 3))) b) (fma.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (sqrt.f64 3) (pow.f64 b 4))) 1/24 (.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 3)))))
(.f64 -1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 3) 2))) b))
(.f64 -1/2 (/.f64 (.f64 (*.f64 c a) (pow.f64 (sqrt.f64 3) 2)) b))
(.f64 -1/2 (/.f64 (.f64 c a) (/.f64 b 3)))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 3) 2))) b)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 3) 4))) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 3) 2)) b) (.f64 1/8 (/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 3) 4) (.f64 a a)) (*.f64 c c)) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 (.f64 c a) (/.f64 b 3)) (.f64 1/8 (/.f64 (.f64 9 (.f64 (.f64 (.f64 c c) a) a)) (pow.f64 b 3))))
(+.f64 (.f64 (/.f64 c b) (.f64 -3/2 a)) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 9/8 (*.f64 a a))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 3) 2))) b)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 3) 4))) (pow.f64 b 3))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 3) 6))) (pow.f64 b 5)))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 3) 2)) b) (fma.f64 1/8 (/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 3) 4) (.f64 a a)) (.f64 c c)) (pow.f64 b 3)) (.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 3) 6)))))))
(fma.f64 -1/2 (/.f64 (.f64 c a) (/.f64 b 3)) (fma.f64 1/8 (/.f64 (.f64 9 (.f64 (.f64 (.f64 c c) a) a)) (pow.f64 b 3)) (.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) 27)))))
(+.f64 (.f64 (/.f64 c b) (.f64 -3/2 a)) (+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 9/8 (.f64 a a))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -27/16 (pow.f64 a 3)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 3) 2))) b)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 3) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 3) 6))) (pow.f64 b 5))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 3) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 3) 4)))) 2)) (pow.f64 b 7))))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 3) 2)) b) (fma.f64 1/8 (/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 3) 4) (.f64 a a)) (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 3) 6)))) (.f64 1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 3) 8))) (pow.f64 (.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 3) 4) (.f64 a a)) (*.f64 c c)) -1/8) 2)) (pow.f64 b 7))))))
(fma.f64 -1/2 (/.f64 (.f64 c a) (/.f64 b 3)) (fma.f64 1/8 (/.f64 (.f64 9 (.f64 (.f64 (.f64 c c) a) a)) (pow.f64 b 3)) (fma.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) 27)) (/.f64 1/2 (/.f64 (pow.f64 b 7) (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 81/16) (pow.f64 (.f64 (.f64 (.f64 (.f64 c c) a) a) -9/8) 2)))))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 (.f64 (pow.f64 a 4) 81) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (pow.f64 b 7)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 -27/16 (pow.f64 a 3)))) (+.f64 (.f64 (/.f64 c b) (.f64 -3/2 a)) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 9/8 (*.f64 a a)))))
(+.f64 (.f64 (/.f64 c b) (.f64 -3/2 a)) (+.f64 (+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 9/8 (.f64 a a))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 -27/16 (pow.f64 a 3)))) (/.f64 (.f64 (.f64 (pow.f64 a 4) (.f64 (pow.f64 c 4) 81)) 5/128) (pow.f64 b 7))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 3) 2))) b)) (.f64 2 b))
(fma.f64 1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 3) 2)) b) (*.f64 b 2))
(fma.f64 b 2 (.f64 (/.f64 (.f64 c a) (/.f64 b 3)) 1/2))
(fma.f64 b 2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 3) 2))) b)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 3) 4))) (pow.f64 b 3))) (*.f64 2 b)))
(fma.f64 1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 3) 2)) b) (fma.f64 -1/8 (/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 3) 4) (.f64 a a)) (.f64 c c)) (pow.f64 b 3)) (*.f64 b 2)))
(fma.f64 (/.f64 (.f64 c a) (/.f64 b 3)) 1/2 (fma.f64 b 2 (/.f64 (.f64 (.f64 (.f64 (*.f64 c c) a) a) -9/8) (pow.f64 b 3))))
(+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 (.f64 a a) -9/8)) (fma.f64 b 2 (.f64 (/.f64 c b) (*.f64 3/2 a))))
(+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 3) 2))) b)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 3) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 3) 6))) (pow.f64 b 5))) (.f64 2 b))))
(fma.f64 1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 3) 2)) b) (fma.f64 -1/8 (/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 3) 4) (.f64 a a)) (.f64 c c)) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 3) 6)))) (.f64 b 2))))
(+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) 27)) 1/16 (.f64 b 2)) (fma.f64 (/.f64 (.f64 c a) (/.f64 b 3)) 1/2 (/.f64 (.f64 (.f64 (.f64 (*.f64 c c) a) a) -9/8) (pow.f64 b 3))))
(+.f64 (.f64 (/.f64 c b) (.f64 3/2 a)) (+.f64 (fma.f64 b 2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 (.f64 a a) -9/8))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 27/16 (pow.f64 a 3)))))

prune291.0ms (4.5%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	208	2	210
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	208	16	224

Error

1.6b

Counts

224 → 16

Alt Table

Status	Error	Program
	41.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
	42.5b	(.f64 1/3 (/.f64 (sqrt.f64 (.f64 a (*.f64 c -3))) a))
	45.5b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) 2) a) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))))) 3))
	32.7b	(.f64 (-.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) 2) (cbrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))))) b) (/.f64 1/3 a))
	56.7b	(*.f64 (-.f64 b b) (/.f64 1/3 a))
	31.2b	(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) 2) 9))))) (.f64 (/.f64 1 a) -1/3))
	44.7b	(/.f64 (.f64 b -2) (.f64 3 a))
✓	31.2b	(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) 2) 9))))) (/.f64 1 (.f64 a -3)))
	44.8b	(*.f64 (/.f64 b a) -2/3)
	36.5b	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (cbrt.f64 b)) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (*.f64 3 a))
✓	32.5b	(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (/.f64 1 (.f64 a -3)))
	37.6b	(.f64 (-.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (.f64 c (/.f64 a -1/3)) 3/2)))) (/.f64 1 (*.f64 a -3)))
	45.3b	(.f64 (fma.f64 b 2 (.f64 (/.f64 c b) (.f64 3/2 a))) (/.f64 1 (.f64 a -3)))
	48.4b	(fma.f64 -1/2 (/.f64 c b) (/.f64 (.f64 (.f64 c c) (*.f64 a -3/8)) (pow.f64 b 3)))
	42.8b	(*.f64 -1/2 (/.f64 c b))
	45.4b	(.f64 (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 (/.f64 a -1/3)) (sqrt.f64 c)))) (/.f64 1 (*.f64 a -3)))

Compiler

Compiled 6059 to 3929 computations (35.2% saved)

regimes487.0ms (7.6%)

Accuracy

Total -54.7b remaining (-591.8%)

Threshold costs -54.7b (-591.8%)

Counts

29 → 3

Calls

Call 1

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

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

Results

75.0ms	21.8b	`a`
40.0ms	9.2b	`b`
90.0ms	18.2b	`c`
69.0ms	12.5b	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
124.0ms	21.8b	`(*.f64 3 a)`
74.0ms	21.8b	`(*.f64 3 a)`

Compiler

Compiled 507 to 331 computations (34.7% saved)

bsearch398.0ms (6.2%)

Algorithm

2×	binary-search

Calls

2 calls:

340.0ms	b
57.0ms	b

Steps

Iters	Point		Range
8e-54	∈ [	7.988669724018698e-54	,	6.629990718841573e-49	]
-1.15e+151	∈ [	-1.7398850342825092e+154	,	-1.1323623493598602e+151	]

Compiler

Compiled 552 to 409 computations (25.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	55
1	40	53
2	60	53
3	69	53
4	75	53
5	77	53

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b -11500000000000000415593239741685837022249212063352633679984585918175454036646227987286807188309726157988243067604143928233727277291802337247460220469248) (/.f64 (*.f64 b -2) (*.f64 3 a)) (if (<=.f64 b 1725436586697641/215679573337205118357336120696157045389097155380324579848828881993728) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) (*.f64 -1/2 (/.f64 c b))))

Outputs

(if (<=.f64 b -11500000000000000415593239741685837022249212063352633679984585918175454036646227987286807188309726157988243067604143928233727277291802337247460220469248) (/.f64 (*.f64 b -2) (*.f64 3 a)) (if (<=.f64 b 1725436586697641/215679573337205118357336120696157045389097155380324579848828881993728) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) (*.f64 -1/2 (/.f64 c b))))

(if (<=.f64 b -11500000000000000415593239741685837022249212063352633679984585918175454036646227987286807188309726157988243067604143928233727277291802337247460220469248) (/.f64 (*.f64 b -2) (*.f64 3 a)) (if (<=.f64 b 1725436586697641/215679573337205118357336120696157045389097155380324579848828881993728) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -3)))) b) (*.f64 3 a)) (*.f64 -1/2 (/.f64 c b))))

end59.0ms (0.9%)

Stop Event

1×

fuel

Compiler

Compiled 78 to 54 computations (30.8% saved)

Details

analyze307.0ms (4.8%)

sample2.6s (41%)

preprocess83.0ms (1.3%)

simplify71.0ms (1.1%)

prune3.0ms (0.1%)

localize10.0ms (0.1%)

series29.0ms (0.4%)

rewrite159.0ms (2.5%)

simplify177.0ms (2.7%)

prune295.0ms (4.6%)

localize10.0ms (0.1%)

series14.0ms (0.2%)

rewrite82.0ms (1.3%)

simplify78.0ms (1.2%)

prune422.0ms (6.5%)

localize9.0ms (0.1%)

series49.0ms (0.8%)

rewrite131.0ms (2%)

simplify50.0ms (0.8%)

prune425.0ms (6.6%)

localize14.0ms (0.2%)

series20.0ms (0.3%)

rewrite78.0ms (1.2%)

simplify51.0ms (0.8%)

prune291.0ms (4.5%)

regimes487.0ms (7.6%)

bsearch398.0ms (6.2%)

simplify3.0ms (0.1%)

end59.0ms (0.9%)

Profiling