Details

analyze318.0ms (1.7%)

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)

sample2.4s (12.8%)

Results

917.0ms	5508×	body	256	valid
620.0ms	1214×	body	2048	valid
267.0ms	451×	body	4096	valid
248.0ms	703×	body	1024	valid
212.0ms	1595×	body	256	invalid
95.0ms	380×	body	512	valid

preprocess67.0ms (0.4%)

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 23 to 17 computations (26.1% saved)

simplify72.0ms (0.4%)

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))

eval1.0ms (0%)

Compiler: Compiled 35 to 23 computations (34.3% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

32.6b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
▶	32.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	1.0b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
	0.7b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
	0.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	0.2b	(.f64 (.f64 3 a) c)
✓	0.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
✓	0.7b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
✓	1.0b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
✓	21.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series28.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

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

rewrite138.0ms (0.7%)

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	74
1	302	62
2	4494	59

Stop Event

1×	node limit

Counts

4 → 333

Calls

Call 1

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

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

simplify92.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

895×	`fma-def_binary64`
660×	`associate-/l*_binary64`
591×	`associate-/r*_binary64`
466×	`unswap-sqr_binary64`
435×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	2478
1	581	2399
2	2092	2321
3	7335	2321

Stop Event

1×	node limit

Counts

429 → 413

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.7b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)
	0.4b	(/.f64 1/3 a)
	0.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	0.2b	(.f64 a (.f64 c -3))
✓	0.4b	(/.f64 1/3 a)
✓	0.7b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)
✓	1.2b	(fma.f64 b b (.f64 a (.f64 c -3)))
✓	21.0b	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3))))

series12.0ms (0.1%)

Counts

4 → 76

Calls

30 calls:

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

rewrite127.0ms (0.7%)

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

Outputs
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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)))))))

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

712×	`times-frac_binary64`
666×	`associate-r_binary64`
629×	`associate-l_binary64`
588×	`fma-def_binary64`
437×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	1747
1	396	1679
2	1354	1631
3	7788	1631

Stop Event

1×	node limit

Counts

263 → 240

Calls

Call 1

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

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

eval430.0ms (2.3%)

Compiler: Compiled 17828 to 11026 computations (38.2% saved)

prune165.0ms (0.9%)

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	621	32	653
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	622	33	655

Error

4.2b

Counts

655 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	46.8b	(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
	50.2b	(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))
	41.2b	(fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a))) (.f64 -1/2 (/.f64 c b)))
	44.1b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
▶	32.7b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 -3 (.f64 a c) (.f64 b b)))) (*.f64 3 a))
▶	45.3b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
	39.2b	(/.f64 (*.f64 -1/2 c) b)
	45.3b	(.f64 1/3 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) a))
	35.8b	(.f64 (-.f64 (exp.f64 (.f64 (log.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) 1/2)) b) (/.f64 1/3 a))
	55.7b	(*.f64 (-.f64 b b) (/.f64 1/3 a))
	45.3b	(pow.f64 (/.f64 (.f64 3 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))))) -1)
	33.5b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2)) (*.f64 3 a))
	45.2b	(*.f64 (/.f64 -2/3 a) b)
	45.3b	(/.f64 (.f64 (/.f64 -3/2 b) (.f64 c a)) (*.f64 3 a))
	46.4b	(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
	45.2b	(/.f64 (.f64 b -2) (.f64 3 a))
	46.7b	(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 3/2 b) (.f64 c a)) b)) (*.f64 3 a))
	43.9b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	44.3b	(.f64 (/.f64 (-.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))))) (/.f64 1/3 a))
▶	45.1b	(*.f64 -2/3 (/.f64 b a))
	45.3b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
	54.9b	(exp.f64 (log.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) (/.f64 1/3 a))))
	45.4b	(.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) (/.f64 1/3 a))
	32.7b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -3)))) b) (/.f64 1/3 a))
✓	32.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
▶	42.0b	(.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -3) (*.f64 b b)) 3/2)) b) (/.f64 1/3 a))
▶	43.8b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
	45.4b	(.f64 (/.f64 1 a) (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 1/3))
	35.8b	(/.f64 (+.f64 (neg.f64 b) (exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 1/2))) (.f64 3 a))
	45.3b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
	43.8b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
	32.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (.f64 1/3 (/.f64 1 a)))
	43.8b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))

Compiler

Compiled 1076 to 766 computations (28.8% saved)

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	21.0b	(sqrt.f64 (fma.f64 -3 (.f64 a c) (.f64 b b)))
	1.1b	(fma.f64 -3 (.f64 a c) (.f64 b b))
	0.7b	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 -3 (.f64 a c) (.f64 b b))))
	0.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 -3 (.f64 a c) (.f64 b b)))) (*.f64 3 a))
✓	0.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 -3 (.f64 a c) (.f64 b b)))) (*.f64 3 a))
✓	0.7b	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 -3 (.f64 a c) (.f64 b b))))
✓	1.1b	(fma.f64 -3 (.f64 a c) (.f64 b b))
✓	21.0b	(sqrt.f64 (fma.f64 -3 (.f64 a c) (.f64 b b)))

series14.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

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

rewrite119.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

672×	`log-prod_binary64`
351×	`fma-def_binary64`
350×	`pow2_binary64`
243×	`pow1/3_binary64`
242×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	66
1	300	62
2	4072	59

Stop Event

1×	node limit

Counts

4 → 176

Calls

Call 1

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

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

simplify105.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

895×	`fma-def_binary64`
660×	`associate-/l*_binary64`
590×	`associate-/r*_binary64`
466×	`unswap-sqr_binary64`
435×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	2478
1	581	2399
2	2090	2321
3	7335	2321

Stop Event

1×	node limit

Counts

272 → 257

Calls

Call 1

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

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

localize39.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(*.f64 -2/3 (/.f64 b a))
✓	0.3b	(*.f64 -2/3 (/.f64 b a))

series6.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	a	@	inf	(*.f64 -2/3 (/.f64 b a))
1.0ms	b	@	0	(*.f64 -2/3 (/.f64 b a))
1.0ms	b	@	inf	(*.f64 -2/3 (/.f64 b a))
1.0ms	a	@	0	(*.f64 -2/3 (/.f64 b a))
0.0ms	b	@	-inf	(*.f64 -2/3 (/.f64 b a))

rewrite43.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
607×	`add-log-exp_binary64`
607×	`log1p-expm1-u_binary64`
607×	`expm1-log1p-u_binary64`
595×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1611	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(*.f64 -2/3 (/.f64 b a))

Outputs

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

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize7.0ms (0%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.3b	(*.f64 -2/3 (/.f64 b a))
	0.0b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
	0.0b	(*.f64 1/2 (/.f64 c b))
✓	0.0b	(*.f64 1/2 (/.f64 c b))
✓	0.0b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
	0.3b	(*.f64 -2/3 (/.f64 b a))

series63.0ms (0.3%)

Counts

2 → 9

Calls

15 calls:

Time	Variable		Point	Expression
56.0ms	c	@	0	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
1.0ms	c	@	-inf	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
1.0ms	b	@	inf	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
1.0ms	c	@	inf	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
1.0ms	b	@	0	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

627×	`log-prod_binary64`
372×	`pow-prod-down_binary64`
328×	`fma-def_binary64`
325×	`pow2_binary64`
226×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	246	21
2	3419	21

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (*.f64 -2/3 b) a) 2) (fma.f64 -2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))) (/.f64 (*.f64 (pow.f64 (/.f64 c b) 2) 1/4) (fma.f64 -2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))) 2) (cbrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))) (sqrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 b a) 3) -8/27 (*.f64 (pow.f64 (/.f64 c b) 3) 1/8)) (/.f64 1 (fma.f64 (*.f64 1/2 (/.f64 c b)) (-.f64 (*.f64 1/2 (/.f64 c b)) (/.f64 (*.f64 -2/3 b) a)) (pow.f64 (/.f64 (*.f64 -2/3 b) a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 (*.f64 -2/3 b) a) 2) (*.f64 (pow.f64 (/.f64 c b) 2) 1/4)) (/.f64 1 (fma.f64 -2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 1/2 (/.f64 c b)) (-.f64 (*.f64 1/2 (/.f64 c b)) (/.f64 (*.f64 -2/3 b) a)) (pow.f64 (/.f64 (*.f64 -2/3 b) a) 2)) (fma.f64 (pow.f64 (/.f64 b a) 3) -8/27 (*.f64 (pow.f64 (/.f64 c b) 3) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b))) (-.f64 (pow.f64 (/.f64 (*.f64 -2/3 b) a) 2) (*.f64 (pow.f64 (/.f64 c b) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 b a) 3) -8/27 (*.f64 (pow.f64 (/.f64 c b) 3) 1/8)) (fma.f64 (*.f64 1/2 (/.f64 c b)) (-.f64 (*.f64 1/2 (/.f64 c b)) (/.f64 (*.f64 -2/3 b) a)) (pow.f64 (/.f64 (*.f64 -2/3 b) a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 b a) 3) -8/27 (*.f64 (pow.f64 (/.f64 c b) 3) 1/8)) (fma.f64 (pow.f64 (/.f64 c b) 2) 1/4 (-.f64 (pow.f64 (/.f64 (*.f64 -2/3 b) a) 2) (*.f64 (/.f64 (*.f64 -2/3 b) a) (*.f64 1/2 (/.f64 c b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (*.f64 -2/3 b) a) 2) (*.f64 (pow.f64 (/.f64 c b) 2) 1/4)) (fma.f64 -2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 b a) 3) -8/27 (*.f64 (pow.f64 (/.f64 c b) 3) 1/8))) (neg.f64 (fma.f64 (*.f64 1/2 (/.f64 c b)) (-.f64 (*.f64 1/2 (/.f64 c b)) (/.f64 (*.f64 -2/3 b) a)) (pow.f64 (/.f64 (*.f64 -2/3 b) a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 -2/3 b) a) 2) (*.f64 (pow.f64 (/.f64 c b) 2) 1/4))) (neg.f64 (fma.f64 -2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 -2/3 b) b (*.f64 a (*.f64 1/2 c))) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 1/2 c) a (*.f64 b (*.f64 -2/3 b))) (*.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 c b) 2) 1/4 (neg.f64 (pow.f64 (/.f64 (*.f64 -2/3 b) a) 2))) (-.f64 (*.f64 1/2 (/.f64 c b)) (/.f64 (*.f64 -2/3 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 1/2 (/.f64 c b)) (-.f64 (*.f64 1/2 (/.f64 c b)) (/.f64 (*.f64 -2/3 b) a)) (pow.f64 (/.f64 (*.f64 -2/3 b) a) 2)) (fma.f64 (pow.f64 (/.f64 b a) 3) -8/27 (*.f64 (pow.f64 (/.f64 c b) 3) 1/8))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b))) (-.f64 (pow.f64 (/.f64 (*.f64 -2/3 b) a) 2) (*.f64 (pow.f64 (/.f64 c b) 2) 1/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 -2/3 b) a))) (sqrt.f64 (exp.f64 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -2/3) (/.f64 b a)) (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 c b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 -2/3 b) a))) (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 c b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 c b)))) (pow.f64 (exp.f64 -2/3) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (sqrt.f64 (exp.f64 (/.f64 c b))) (+.f64 1 (expm1.f64 (/.f64 (*.f64 -2/3 b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 c b)))) (+.f64 1 (expm1.f64 (/.f64 (*.f64 -2/3 b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (*.f64 (/.f64 1 a) -2/3) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b a) -2/3 (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 -2/3 b) a) 1 (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c (*.f64 (/.f64 1 b) 1/2) (/.f64 (*.f64 -2/3 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 c b) 1/2 (/.f64 (*.f64 -2/3 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (/.f64 c b)) 1 (/.f64 (*.f64 -2/3 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 -2/3 b) a) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 (/.f64 c b)) (/.f64 (*.f64 -2/3 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (*.f64 (cbrt.f64 (/.f64 b a)) -2/3) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 c b)) 2) (*.f64 (cbrt.f64 (/.f64 c b)) 1/2) (/.f64 (*.f64 -2/3 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (*.f64 -2/3 b) a)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 -2/3 b) a)) 2) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 -2/3 b) a)) 2) (cbrt.f64 (/.f64 (*.f64 -2/3 b) a)) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b))) 2) (/.f64 (*.f64 -2/3 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 c b))) (/.f64 (*.f64 -2/3 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 b a)) -2/3) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 c b)) (*.f64 (sqrt.f64 (/.f64 c b)) 1/2) (/.f64 (*.f64 -2/3 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 -2/3 b) a)) (sqrt.f64 (/.f64 (*.f64 -2/3 b) a)) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 (/.f64 c b))) (sqrt.f64 (*.f64 1/2 (/.f64 c b))) (/.f64 (*.f64 -2/3 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 b) (/.f64 1 a) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 c) (/.f64 1 b) (/.f64 (*.f64 -2/3 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2/3 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b (cbrt.f64 a)) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2/3 (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b)) (/.f64 (*.f64 -2/3 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (sqrt.f64 b)) (/.f64 c (sqrt.f64 b)) (/.f64 (*.f64 -2/3 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 (pow.f64 (cbrt.f64 (/.f64 b a)) 2)) (cbrt.f64 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 (sqrt.f64 (/.f64 b a))) (sqrt.f64 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (/.f64 c b)) 2)) (cbrt.f64 (/.f64 c b)) (/.f64 (*.f64 -2/3 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c b))) (sqrt.f64 (/.f64 c b)) (/.f64 (*.f64 -2/3 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))))))))

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

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`associate-/l*_binary64`
2×	`associate-*r/_binary64`
2×	`associate-*l/_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	63
1	16	63
2	24	63
3	32	63
4	34	63

Stop Event

1×

saturated

Counts

106 → 101

Calls

Call 1

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

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

localize8.0ms (0%)

Local error

Found 6 expressions with local error:

New	Error	Program
	14.0b	(sqrt.f64 (.f64 c (.f64 a -3)))
	0.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
	0.2b	(.f64 c (.f64 a -3))
✓	0.2b	(.f64 c (.f64 a -3))
✓	0.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
✓	14.0b	(sqrt.f64 (.f64 c (.f64 a -3)))

series23.0ms (0.1%)

Counts

3 → 38

Calls

21 calls:

Time	Variable		Point	Expression
8.0ms	c	@	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
1.0ms	a	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
1.0ms	c	@	0	(sqrt.f64 (.f64 c (.f64 a -3)))
1.0ms	a	@	-inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
1.0ms	c	@	-inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))

rewrite81.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`log-prod_binary64`
376×	`fma-def_binary64`
305×	`pow2_binary64`
256×	`pow-unpow_binary64`
213×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	282	34
2	4030	34

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

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

Outputs

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

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

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

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
10×	`fma-def_binary64`
6×	`associate-r_binary64`
6×	`associate-l_binary64`
2×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	399
1	30	399
2	52	399
3	64	399
4	66	399
5	67	399

Stop Event

1×

saturated

Counts

135 → 105

Calls

Call 1

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

localize15.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1/3 a)
	0.2b	(.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -3) (*.f64 b b)) 3/2)) b) (/.f64 1/3 a))
	0.2b	(pow.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) 3/2)
	0.1b	(fma.f64 a (.f64 c -3) (.f64 b b))
✓	0.2b	(.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -3) (*.f64 b b)) 3/2)) b) (/.f64 1/3 a))
	0.4b	(/.f64 1/3 a)
✓	0.7b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) 3/2)) b)
✓	33.0b	(cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) 3/2))

series15.0ms (0.1%)

Counts

3 → 60

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) 3/2))
1.0ms	a	@	-inf	(cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) 3/2))
1.0ms	a	@	0	(cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) 3/2))
1.0ms	c	@	-inf	(cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) 3/2))
1.0ms	c	@	inf	(cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) 3/2))

rewrite108.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

728×	`prod-diff_binary64`
688×	`log-prod_binary64`
344×	`fma-def_binary64`
270×	`expm1-udef_binary64`
270×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	60
1	324	51
2	4081	48

Stop Event

1×	node limit

Counts

3 → 182

Calls

Call 1

Inputs

(cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b)) 3/2))

(-.f64 (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b)) 3/2)) b)

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

Outputs

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

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

simplify94.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

887×	`fma-def_binary64`
661×	`associate-/l*_binary64`
588×	`associate-/r*_binary64`
466×	`unswap-sqr_binary64`
435×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	2076
1	575	2051
2	2073	1973
3	7304	1973

Stop Event

1×	node limit

Counts

242 → 257

Calls

Call 1

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

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

eval356.0ms (1.9%)

Compiler: Compiled 17708 to 10971 computations (38% saved)

prune212.0ms (1.1%)

Pruning

48 alts after pruning (44 fresh and 4 done)

	Pruned	Kept	Total
New	755	31	786
Fresh	14	13	27
Picked	1	0	1
Done	1	4	5
Total	771	48	819

Error

2.8b

Counts

819 → 48

Alt Table

Click to see full alt table

Status	Error	Program
	39.3b	(*.f64 (/.f64 -1/2 b) c)
	46.8b	(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
▶	45.2b	(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
	50.2b	(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))
	56.0b	(exp.f64 (log.f64 (*.f64 -2/3 (/.f64 b a))))
	44.1b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
	45.3b	(.f64 1/3 (/.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 -3 a) c))) b) a))
	59.3b	(*.f64 -1/3 (/.f64 b a))
	45.2b	(/.f64 (.f64 -2 b) (.f64 3 a))
	47.8b	(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
	35.8b	(/.f64 (+.f64 (neg.f64 b) (exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 1/2))) (.f64 3 a))
✓	45.3b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
	39.2b	(/.f64 (*.f64 -1/2 c) b)
	45.3b	(fma.f64 (/.f64 b a) -2/3 (*.f64 1/2 (/.f64 c b)))
	58.2b	(sqrt.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9))
	46.4b	(/.f64 (exp.f64 (log.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b))) (*.f64 3 a))
	35.8b	(.f64 (-.f64 (exp.f64 (.f64 (log.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) 1/2)) b) (/.f64 1/3 a))
	45.3b	(.f64 (.f64 (/.f64 -3/2 b) (*.f64 c a)) (/.f64 1/3 a))
	45.3b	(/.f64 (.f64 (/.f64 -3/2 b) (.f64 c a)) (*.f64 3 a))
	45.4b	(pow.f64 (cbrt.f64 (*.f64 -2/3 (/.f64 b a))) 3)
✓	45.1b	(*.f64 -2/3 (/.f64 b a))
	45.3b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
	46.7b	(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 3/2 b) (.f64 c a)) b)) (*.f64 3 a))
	45.2b	(/.f64 -2/3 (/.f64 a b))
	45.3b	(+.f64 (.f64 -2/3 (/.f64 b a)) (/.f64 (/.f64 (.f64 1/2 c) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b)))
	32.7b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -3)))) b) (/.f64 1/3 a))
	45.2b	(*.f64 b (/.f64 -2/3 a))
✓	32.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	45.4b	(/.f64 (/.f64 (*.f64 -2/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
✓	43.8b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
	43.6b	(fma.f64 -3/8 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c)) (*.f64 -1/2 (/.f64 c b)))
	55.7b	(*.f64 (-.f64 b b) (/.f64 1/3 a))
	45.4b	(.f64 (/.f64 1 a) (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 1/3))
	55.9b	(*.f64 (/.f64 1/2 b) c)
▶	29.9b	(/.f64 (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -3))) b) 1/3) a)
	33.5b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 -3 a) c)) 1/4) 2)) (*.f64 3 a))
	54.1b	(+.f64 (.f64 -2/3 (/.f64 b a)) (exp.f64 (log.f64 (.f64 1/2 (/.f64 c b)))))
	45.4b	(fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b)) (/.f64 (*.f64 -2/3 b) a))
	55.9b	(*.f64 1/2 (/.f64 c b))
▶	45.2b	(/.f64 (*.f64 -2/3 b) a)
	45.4b	(pow.f64 (.f64 3 (/.f64 a (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 -3 a) c))) b))) -1)
▶	29.9b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -3))) b) 1/3)))
	46.6b	(.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -3))) b) b) (/.f64 1/3 a))
	43.8b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
	32.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) -3 (*.f64 b b))) b) (/.f64 1/3 a))
	43.9b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
▶	43.8b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
	32.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (.f64 1/3 (/.f64 1 a)))

Compiler

Compiled 1340 to 974 computations (27.3% saved)

localize9.0ms (0%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -3))) b) 1/3)
	0.2b	(.f64 (.f64 a c) -3)
	0.2b	(/.f64 (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -3))) b) 1/3) a)
	0.0b	(hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -3)))
✓	0.2b	(.f64 (.f64 a c) -3)
✓	0.2b	(.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -3))) b) 1/3)
✓	0.6b	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -3))) b)
✓	14.0b	(sqrt.f64 (.f64 (.f64 a c) -3))

series79.0ms (0.4%)

Counts

4 → 48

Calls

30 calls:

Time	Variable		Point	Expression
26.0ms	a	@	0	(.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -3))) b) 1/3)
12.0ms	a	@	0	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -3))) b)
11.0ms	c	@	0	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -3))) b)
3.0ms	c	@	-inf	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -3))) b)
3.0ms	a	@	-inf	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -3))) b)

rewrite96.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

601×	`log-prod_binary64`
552×	`prod-diff_binary64`
321×	`pow2_binary64`
234×	`fma-def_binary64`
223×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	255	49
2	3152	49

Stop Event

1×	node limit

Counts

4 → 167

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (.f64 a (.f64 c -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 a (.f64 c -3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 a (.f64 c -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 a (.f64 c -3)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 a (.f64 c -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 a (.f64 c -3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 a (.f64 c -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 a (.f64 c -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 a (.f64 c -3))) (pow.f64 (.f64 a (.f64 c -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a (.f64 c -3)) 1/6) (cbrt.f64 (.f64 a (.f64 c -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 -3) (sqrt.f64 (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 a) (sqrt.f64 (.f64 c -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a (.f64 c -3)) 1/4) (pow.f64 (.f64 a (.f64 c -3)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 a (.f64 c -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (.f64 c -3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 a (.f64 c -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 9 (pow.f64 (.f64 a c) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (.f64 c -3)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (.f64 c -3)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a (.f64 c -3))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (.f64 c -3)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (.f64 c -3)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (.f64 a (.f64 c -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 a (.f64 c -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 a (.f64 c -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a (.f64 c -3)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 a (.f64 c -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a (.f64 c -3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 a (.f64 c -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 a (.f64 c -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 a (.f64 c -3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) (.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b))) 2)) (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b)) 2) (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b)) (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) 3/2) (pow.f64 b 3)) (/.f64 1 (fma.f64 b (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)) (fma.f64 a (.f64 c -3) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) (.f64 b b)) (/.f64 1 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) 1/4) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)) (fma.f64 a (.f64 c -3) (.f64 b b))) (-.f64 (pow.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) 3/2) (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)) (-.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) 3/2) (pow.f64 b 3)) (fma.f64 b (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)) (fma.f64 a (.f64 c -3) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) 3/2) (pow.f64 b 3))) (neg.f64 (fma.f64 b (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)) (fma.f64 a (.f64 c -3) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) (.f64 b b))) (neg.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) 3/2) (pow.f64 (neg.f64 b) 3)) (+.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) (-.f64 (pow.f64 (neg.f64 b) 2) (.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) (pow.f64 (neg.f64 b) 2)) (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 b (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)) (fma.f64 a (.f64 c -3) (.f64 b b))) (-.f64 (pow.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) 3/2) (pow.f64 b 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)) (-.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) (.f64 b b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b))) (exp.f64 (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b))) (/.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (neg.f64 b)) (exp.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (neg.f64 b)) (+.f64 1 (expm1.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) (.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (cbrt.f64 b)) (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 a 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) 1/4) (pow.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) 1/4) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) 1/4) (pow.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) 1/4) (.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b)) (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b)) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b)) (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (hypot.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) 1/3) (.f64 (neg.f64 b) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)) (.f64 1/3 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) 3/2) (pow.f64 b 3)) 1/3) (fma.f64 b (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)) (fma.f64 a (.f64 c -3) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) (.f64 b b)) 1/3) (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 (-.f64 (pow.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) 3/2) (pow.f64 b 3))) (fma.f64 b (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)) (fma.f64 a (.f64 c -3) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 (-.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) (.f64 b b))) (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/9 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/9 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) 1/3 (.f64 (neg.f64 b) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) (.f64 1/3 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -3))) b) b) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -3))) b) b) 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a (.f64 c -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -3) (.f64 a c))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -3) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -3) (.f64 a c)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -3) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a (.f64 c -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (.f64 c -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 a (.f64 c -3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 9 (pow.f64 (.f64 a c) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (.f64 c -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (.f64 c -3)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a (.f64 c -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (.f64 c -3)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (.f64 c -3)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 9 (pow.f64 (.f64 a c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -3) (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 c -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a (.f64 c -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 a (.f64 c -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a (.f64 c -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 a (.f64 c -3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 a (.f64 c -3))))))))

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

782×	`associate-l_binary64`
671×	`times-frac_binary64`
505×	`unswap-sqr_binary64`
499×	`associate-/l*_binary64`
478×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	1272
1	368	1082
2	1295	1015
3	6663	991

Stop Event

1×	node limit

Counts

215 → 216

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 -1 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) b)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1 b (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (neg.f64 b)))
(-.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 -3)) b)))) b)
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 1/2 (.f64 (/.f64 b (sqrt.f64 -3)) b)) (neg.f64 b)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 -1 b (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -3) -3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (neg.f64 b))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (-.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (.f64 1/24 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))))) b))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (fma.f64 1/24 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) (neg.f64 b))))
(.f64 1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))
(.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))))
(/.f64 1/2 (/.f64 b (.f64 a (.f64 c -3))))
(/.f64 (.f64 (.f64 c a) -3/2) b)
(+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))
(fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (.f64 -1/8 (/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -3) 4) (.f64 a a)) (.f64 c c)) (pow.f64 b 3))))
(fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -3)) (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -9/8) (pow.f64 b 3)))
(+.f64 (/.f64 (.f64 (.f64 c a) -3/2) b) (/.f64 (.f64 c (.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 3) -9/8)))
(+.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 (.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 1/16 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -3) 6)) (pow.f64 b 5)) (fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (.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 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -27)) (fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -3)) (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -9/8) (pow.f64 b 3))))
(+.f64 (/.f64 (.f64 c (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 3) -9/8)) (+.f64 (/.f64 (.f64 (.f64 c a) -3/2) b) (/.f64 (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -27/16) (pow.f64 b 5))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (pow.f64 b 7))) (+.f64 (.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 -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 (fma.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 (.f64 (pow.f64 (sqrt.f64 -3) 4) (.f64 a a)) (.f64 c c))) 2)) (pow.f64 b 7)) (fma.f64 1/16 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -3) 6)) (pow.f64 b 5)) (fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (.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 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 81/16) (pow.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -9/8) 2)) (pow.f64 b 7)) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -27)) (fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -3)) (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -9/8) (pow.f64 b 3)))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 a 4) 81) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (pow.f64 b 7)) (+.f64 (/.f64 (.f64 c (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 3) -9/8)) (+.f64 (/.f64 (.f64 (.f64 c a) -3/2) b) (/.f64 (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -27/16) (pow.f64 b 5)))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (pow.f64 b 7)) (+.f64 (/.f64 (.f64 c (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 3) -9/8)) (+.f64 (/.f64 (.f64 (.f64 c a) -3/2) b) (/.f64 (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -27/16) (pow.f64 b 5)))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (.f64 -2 b))
(fma.f64 -1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (.f64 b -2))
(fma.f64 b -2 (.f64 (.f64 (/.f64 c b) (*.f64 a -3)) -1/2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 c a) 3/2) b))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (.f64 -2 b) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(fma.f64 -1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (fma.f64 -2 b (.f64 (/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -3) 4) (.f64 a a)) (.f64 c c)) (pow.f64 b 3)) 1/8)))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -3)) -1/2 (fma.f64 b -2 (/.f64 (.f64 1/8 (.f64 c c)) (/.f64 (pow.f64 b 3) (.f64 a (.f64 a 9))))))
(+.f64 (/.f64 (.f64 (.f64 c a) 3/2) b) (fma.f64 b -2 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) 9/8) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))))))
(fma.f64 -1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (fma.f64 -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 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -3) 6)) (pow.f64 b 5)) -1/16))))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -3)) -1/2 (fma.f64 b -2 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a 9))) 1/8 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -27)) -1/16))))
(+.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) 9/8) (pow.f64 b 3)) (+.f64 (/.f64 (.f64 (.f64 c a) 3/2) b) (fma.f64 b -2 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) 27/16) (pow.f64 b 5)))))
(.f64 1/3 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(.f64 (.f64 1/3 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -3))
(.f64 (sqrt.f64 (.f64 c a)) (*.f64 (sqrt.f64 -3) 1/3))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))) (.f64 -1/3 b))
(fma.f64 1/3 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) (*.f64 b -1/3))
(fma.f64 b -1/3 (.f64 (sqrt.f64 (.f64 c a)) (*.f64 (sqrt.f64 -3) 1/3)))
(fma.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -3) 1/3) (*.f64 b -1/3))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))) (+.f64 (.f64 -1/3 b) (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3))))))
(fma.f64 1/3 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) (fma.f64 -1/3 b (.f64 (.f64 1/6 (sqrt.f64 (/.f64 1 (.f64 c a)))) (/.f64 (.f64 b b) (sqrt.f64 -3)))))
(fma.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) 1/3 (fma.f64 b -1/3 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -3) b)) 1/6))))
(fma.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -3) 1/3) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b 1/6) (/.f64 (sqrt.f64 -3) b)) (*.f64 b -1/3)))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))) (+.f64 (.f64 -1/3 b) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (.f64 -1/24 (.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)))))))
(fma.f64 1/3 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) (fma.f64 -1/3 b (fma.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (.f64 (.f64 -1/24 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))))))
(fma.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) 1/3 (fma.f64 b -1/3 (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (/.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -3) -3)) -1/24)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -3) 1/3) (fma.f64 b -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b 1/6) (/.f64 (sqrt.f64 -3) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) 1/72))))
(fma.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -3) 1/3) (fma.f64 b -1/3 (.f64 (.f64 (/.f64 b (sqrt.f64 -3)) b) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) 1/6) (.f64 (/.f64 b (/.f64 -3 b)) (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) -1/24))))))
(.f64 1/6 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))
(.f64 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) 1/6)
(.f64 (.f64 (/.f64 c b) (*.f64 a -3)) 1/6)
(/.f64 (.f64 (.f64 c a) -1/2) b)
(+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (.f64 1/6 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)))
(fma.f64 -1/24 (/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -3) 4) (.f64 a a)) (.f64 c c)) (pow.f64 b 3)) (.f64 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) 1/6))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -3)) 1/6 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a (*.f64 a 9)))) -1/24) (pow.f64 b 3)))
(+.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -3/8) (pow.f64 b 3)))
(+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (.f64 1/6 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))))
(fma.f64 1/48 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -3) 6)) (pow.f64 b 5)) (fma.f64 -1/24 (/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -3) 4) (.f64 a a)) (.f64 c c)) (pow.f64 b 3)) (.f64 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) 1/6)))
(fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -27)) 1/48 (fma.f64 (.f64 (/.f64 c b) (.f64 a -3)) 1/6 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a (*.f64 a 9)))) -1/24) (pow.f64 b 3))))
(+.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -3/8) (pow.f64 b 3)) (+.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -9/16) (pow.f64 b 5))))
(+.f64 (.f64 -1/6 (/.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 (.f64 1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (.f64 1/6 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)))))
(fma.f64 -1/6 (/.f64 (fma.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 (.f64 (pow.f64 (sqrt.f64 -3) 4) (.f64 a a)) (.f64 c c))) 2)) (pow.f64 b 7)) (fma.f64 1/48 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -3) 6)) (pow.f64 b 5)) (fma.f64 -1/24 (/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -3) 4) (.f64 a a)) (.f64 c c)) (pow.f64 b 3)) (.f64 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -3) 2)))) 1/6))))
(fma.f64 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 81/16) (pow.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -9/8) 2)) (pow.f64 b 7)) -1/6 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -27)) 1/48 (fma.f64 (.f64 (/.f64 c b) (.f64 a -3)) 1/6 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a (*.f64 a 9)))) -1/24) (pow.f64 b 3)))))
(fma.f64 (/.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)) -1/6 (+.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -3/8) (pow.f64 b 3)) (+.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -9/16) (pow.f64 b 5)))))
(fma.f64 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (pow.f64 b 7)) -1/6 (+.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -3/8) (pow.f64 b 3)) (+.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -9/16) (pow.f64 b 5)))))
(*.f64 -2/3 b)
(*.f64 b -2/3)
(+.f64 (.f64 -1/6 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (.f64 -2/3 b))
(fma.f64 -1/6 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (.f64 b -2/3))
(fma.f64 b -2/3 (.f64 (.f64 (/.f64 c b) (*.f64 a -3)) -1/6))
(fma.f64 b -2/3 (/.f64 (.f64 (.f64 c a) 1/2) b))
(+.f64 (.f64 -1/6 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (.f64 -2/3 b) (.f64 1/24 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(fma.f64 -1/6 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (fma.f64 -2/3 b (.f64 (/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -3) 4) (.f64 a a)) (.f64 c c)) (pow.f64 b 3)) 1/24)))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -3)) -1/6 (fma.f64 b -2/3 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (*.f64 a 9))) 1/24)))
(+.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) 3/8) (pow.f64 b 3)) (fma.f64 b -2/3 (/.f64 (.f64 (.f64 c a) 1/2) b)))
(+.f64 (.f64 -1/6 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (.f64 -2/3 b) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (.f64 -1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))))))
(fma.f64 -1/6 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (fma.f64 -2/3 b (fma.f64 1/24 (/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -3) 4) (.f64 a a)) (.f64 c c)) (pow.f64 b 3)) (.f64 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -3) 6)) (pow.f64 b 5)) -1/48))))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -3)) -1/6 (fma.f64 b -2/3 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a 9))) 1/24 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -27)) -1/48))))
(+.f64 (/.f64 (.f64 (.f64 c a) 1/2) b) (+.f64 (fma.f64 b -2/3 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) 3/8) (pow.f64 b 3))) (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) 9/16) (pow.f64 b 5))))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))

localize3.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 -2/3 b)
	0.2b	(/.f64 (*.f64 -2/3 b) a)
✓	0.2b	(/.f64 (*.f64 -2/3 b) a)
✓	0.3b	(*.f64 -2/3 b)

series3.0ms (0%)

Counts

2 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(*.f64 -2/3 b)
1.0ms	b	@	0	(*.f64 -2/3 b)
0.0ms	b	@	-inf	(*.f64 -2/3 b)
0.0ms	a	@	inf	(/.f64 (*.f64 -2/3 b) a)
0.0ms	b	@	0	(/.f64 (*.f64 -2/3 b) a)

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

685×	`pow1_binary64`
640×	`add-log-exp_binary64`
640×	`log1p-expm1-u_binary64`
640×	`expm1-log1p-u_binary64`
627×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	127	11
2	1679	11

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(*.f64 -2/3 b)
(/.f64 (*.f64 -2/3 b) a)

Outputs

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

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

76 → 52

Calls

Call 1

Inputs
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))

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

localize5.0ms (0%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
	0.3b	(*.f64 -2/3 b)
	0.2b	(/.f64 a (*.f64 -2/3 b))
✓	0.2b	(/.f64 a (*.f64 -2/3 b))
	0.3b	(*.f64 -2/3 b)
✓	0.4b	(/.f64 1 (/.f64 a (*.f64 -2/3 b)))

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(/.f64 a (*.f64 -2/3 b))
1.0ms	b	@	0	(/.f64 a (*.f64 -2/3 b))
1.0ms	a	@	-inf	(/.f64 a (*.f64 -2/3 b))
0.0ms	a	@	inf	(/.f64 a (*.f64 -2/3 b))
0.0ms	b	@	-inf	(/.f64 a (*.f64 -2/3 b))

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

832×	`pow1_binary64`
775×	`add-log-exp_binary64`
775×	`log1p-expm1-u_binary64`
775×	`expm1-log1p-u_binary64`
759×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	168	14
2	2144	14

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

Inputs
(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
(/.f64 a (*.f64 -2/3 b))

Outputs

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

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

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`associate-/l*_binary64`
2×	`associate-*r/_binary64`
2×	`associate-*l/_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	336
1	15	336
2	21	336
3	29	336
4	31	336

Stop Event

1×

saturated

Counts

131 → 84

Calls

Call 1

Inputs
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))

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

localize8.0ms (0%)

Local error

Found 8 expressions with local error:

New	Error	Program
	14.0b	(sqrt.f64 (.f64 -3 (.f64 c a)))
	0.4b	(/.f64 1/3 a)
	0.2b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
	0.2b	(.f64 -3 (.f64 c a))
✓	0.2b	(.f64 -3 (.f64 c a))
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
	0.4b	(/.f64 1/3 a)
✓	14.0b	(sqrt.f64 (.f64 -3 (.f64 c a)))

series14.0ms (0.1%)

Counts

3 → 14

Calls

21 calls:

Time	Variable		Point	Expression
7.0ms	c	@	inf	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
0.0ms	c	@	0	(sqrt.f64 (.f64 -3 (.f64 c a)))
0.0ms	a	@	-inf	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
0.0ms	c	@	-inf	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
0.0ms	c	@	-inf	(sqrt.f64 (.f64 -3 (.f64 c a)))

rewrite80.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`prod-diff_binary64`
643×	`log-prod_binary64`
364×	`fma-def_binary64`
234×	`pow1/3_binary64`
232×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	263	34
2	3445	34

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

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

Outputs

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

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

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

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`fma-def_binary64`
8×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
2×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	231
1	24	231
2	39	231
3	49	231
4	51	231
5	52	231

Stop Event

1×

saturated

Counts

111 → 103

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 a c) -3)
	0.1b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -3))) b) 1/3)))
	0.1b	(/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -3))) b) 1/3))
	0.0b	(hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -3)))
	0.2b	(.f64 (.f64 a c) -3)
	0.2b	(.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -3))) b) 1/3)
	0.6b	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -3))) b)
	14.0b	(sqrt.f64 (.f64 (.f64 a c) -3))

rewrite0.0ms (0%)

Counts: 0 → 0

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval326.0ms (1.8%)

Compiler: Compiled 14684 to 9777 computations (33.4% saved)

prune271.0ms (1.5%)

Pruning

57 alts after pruning (52 fresh and 5 done)

	Pruned	Kept	Total
New	679	29	708
Fresh	16	23	39
Picked	1	0	1
Done	3	5	8
Total	699	57	756

Error

2.8b

Counts

756 → 57

Alt Table

Click to see full alt table

Status	Error	Program
▶	47.1b	(/.f64 (.f64 1/3 (-.f64 (.f64 a (.f64 -3 c)) (.f64 b b))) (.f64 a (+.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b)))
	39.3b	(*.f64 (/.f64 -1/2 b) c)
	46.8b	(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
	49.2b	(/.f64 (+.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -3/8) (pow.f64 b 3))) a)
	44.1b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
	45.3b	(.f64 1/3 (/.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 -3 a) c))) b) a))
	46.6b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -3)))) b) 1/3)))
	59.3b	(*.f64 -1/3 (/.f64 b a))
✓	45.3b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
	39.2b	(/.f64 (*.f64 -1/2 c) b)
	45.3b	(fma.f64 (/.f64 b a) -2/3 (*.f64 1/2 (/.f64 c b)))
	58.2b	(sqrt.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9))
	46.4b	(/.f64 (exp.f64 (log.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b))) (*.f64 3 a))
	47.8b	(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
	45.3b	(.f64 (.f64 (/.f64 -3/2 b) (*.f64 c a)) (/.f64 1/3 a))
	45.2b	(/.f64 1 (*.f64 -3/2 (/.f64 a b)))
	52.5b	(.f64 (-.f64 (.f64 (sqrt.f64 (*.f64 -3 c)) (sqrt.f64 a)) b) (/.f64 1/3 a))
	45.3b	(/.f64 (.f64 (/.f64 -3/2 b) (.f64 c a)) (*.f64 3 a))
	45.3b	(/.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) a)
	45.4b	(pow.f64 (cbrt.f64 (*.f64 -2/3 (/.f64 b a))) 3)
	59.3b	(/.f64 b (/.f64 a -1/3))
	47.2b	(/.f64 (exp.f64 (log.f64 (*.f64 -2/3 b))) a)
✓	45.1b	(*.f64 -2/3 (/.f64 b a))
	44.9b	(.f64 (-.f64 (exp.f64 (.f64 (log.f64 (.f64 a (.f64 -3 c))) 1/2)) b) (/.f64 1/3 a))
	45.3b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
	46.7b	(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 3/2 b) (.f64 c a)) b)) (*.f64 3 a))
	45.2b	(/.f64 -2/3 (/.f64 a b))
	43.8b	(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3) a)
	45.2b	(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -3/2 b) -1))
	43.8b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (.f64 1/3 (/.f64 1 a)))
▶	51.5b	(/.f64 (sqrt.f64 (.f64 (.f64 b b) 4/9)) a)
	45.2b	(*.f64 b (/.f64 -2/3 a))
	56.8b	(/.f64 1 (/.f64 a (pow.f64 (pow.f64 (*.f64 -2/3 b) 3) 1/3)))
	45.3b	(+.f64 (.f64 -2/3 (/.f64 b a)) (/.f64 (/.f64 (.f64 1/2 c) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b)))
	32.7b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -3)))) b) (/.f64 1/3 a))
	47.1b	(/.f64 (-.f64 (.f64 a (.f64 -3 c)) (.f64 b b)) (.f64 (.f64 a 3) (+.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b)))
✓	32.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	31.8b	(/.f64 (exp.f64 (log.f64 (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -3))) b) b) 1/3))) a)
	45.4b	(/.f64 1 (/.f64 a (/.f64 (.f64 (.f64 c a) -1/2) b)))
	43.9b	(/.f64 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3)))
	55.9b	(*.f64 (/.f64 1/2 b) c)
	45.2b	(/.f64 1 (.f64 (.f64 a -3/2) (/.f64 1 b)))
	45.3b	(/.f64 (.f64 (/.f64 (.f64 (*.f64 c a) -3/2) b) 1/3) a)
	56.8b	(/.f64 (pow.f64 (pow.f64 (*.f64 -2/3 b) 3) 1/3) a)
▶	55.9b	(*.f64 1/2 (/.f64 c b))
	51.5b	(/.f64 1 (/.f64 a (sqrt.f64 (.f64 (.f64 b b) 4/9))))
	45.4b	(fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b)) (/.f64 (*.f64 -2/3 b) a))
	43.8b	(/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) (*.f64 a 3))
	45.2b	(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
✓	45.2b	(/.f64 (*.f64 -2/3 b) a)
	45.2b	(/.f64 1 (pow.f64 (*.f64 -2/3 (/.f64 b a)) -1))
	43.8b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
▶	49.8b	(/.f64 (-.f64 (+.f64 1 (*.f64 -2/3 b)) 1) a)
	45.2b	(/.f64 (.f64 -2 b) (.f64 3 a))
▶	31.0b	(/.f64 (.f64 (-.f64 (hypot.f64 b (exp.f64 (.f64 (log.f64 (.f64 a (.f64 c -3))) 1/2))) b) 1/3) a)
✓	43.8b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
	55.7b	(*.f64 (-.f64 b b) (/.f64 1/3 a))

Compiler

Compiled 1535 to 1137 computations (25.9% saved)

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(.f64 (-.f64 (hypot.f64 b (exp.f64 (.f64 (log.f64 (.f64 a (.f64 c -3))) 1/2))) b) 1/3)
	0.2b	(/.f64 (.f64 (-.f64 (hypot.f64 b (exp.f64 (.f64 (log.f64 (.f64 a (.f64 c -3))) 1/2))) b) 1/3) a)
	0.2b	(.f64 a (.f64 c -3))
	0.0b	(hypot.f64 b (exp.f64 (.f64 (log.f64 (.f64 a (*.f64 c -3))) 1/2)))
✓	0.2b	(.f64 (-.f64 (hypot.f64 b (exp.f64 (.f64 (log.f64 (.f64 a (.f64 c -3))) 1/2))) b) 1/3)
✓	0.6b	(-.f64 (hypot.f64 b (exp.f64 (.f64 (log.f64 (.f64 a (*.f64 c -3))) 1/2))) b)
✓	3.7b	(exp.f64 (.f64 (log.f64 (.f64 a (*.f64 c -3))) 1/2))
✓	14.2b	(log.f64 (.f64 a (.f64 c -3)))

series181.0ms (1%)

Counts

4 → 48

Calls

30 calls:

Time	Variable		Point	Expression
55.0ms	c	@	0	(log.f64 (.f64 a (.f64 c -3)))
40.0ms	a	@	0	(log.f64 (.f64 a (.f64 c -3)))
18.0ms	b	@	0	(-.f64 (hypot.f64 b (exp.f64 (.f64 (log.f64 (.f64 a (*.f64 c -3))) 1/2))) b)
13.0ms	c	@	-inf	(log.f64 (.f64 a (.f64 c -3)))
13.0ms	a	@	-inf	(log.f64 (.f64 a (.f64 c -3)))

rewrite122.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

705×	`log-prod_binary64`
563×	`prod-diff_binary64`
265×	`pow1/3_binary64`
265×	`expm1-udef_binary64`
265×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	54
1	310	51
2	3753	51

Stop Event

1×	node limit

Counts

4 → 213

Calls

Call 1

Inputs
(log.f64 (.f64 a (.f64 c -3)))
(exp.f64 (.f64 (log.f64 (.f64 a (*.f64 c -3))) 1/2))
(-.f64 (hypot.f64 b (exp.f64 (.f64 (log.f64 (.f64 a (*.f64 c -3))) 1/2))) b)
(.f64 (-.f64 (hypot.f64 b (exp.f64 (.f64 (log.f64 (.f64 a (.f64 c -3))) 1/2))) b) 1/3)

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

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

783×	`associate-l_binary64`
671×	`times-frac_binary64`
506×	`fma-def_binary64`
505×	`unswap-sqr_binary64`
499×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	1404
1	425	1202
2	1394	1135
3	6958	1135

Stop Event

1×	node limit

Counts

261 → 267

Calls

Call 1

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

Outputs
(+.f64 (log.f64 (*.f64 -3 c)) (log.f64 a))
(+.f64 (log.f64 (*.f64 c -3)) (log.f64 a))
(+.f64 (log.f64 (*.f64 -3 c)) (log.f64 a))
(+.f64 (log.f64 (*.f64 c -3)) (log.f64 a))
(+.f64 (log.f64 (*.f64 -3 c)) (log.f64 a))
(+.f64 (log.f64 (*.f64 c -3)) (log.f64 a))
(+.f64 (log.f64 (*.f64 -3 c)) (log.f64 a))
(+.f64 (log.f64 (*.f64 c -3)) (log.f64 a))
(+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a))))
(+.f64 (log.f64 (*.f64 -3 c)) (log.f64 a))
(+.f64 (log.f64 (*.f64 c -3)) (log.f64 a))
(+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a))))
(+.f64 (log.f64 (*.f64 -3 c)) (log.f64 a))
(+.f64 (log.f64 (*.f64 c -3)) (log.f64 a))
(+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a))))
(+.f64 (log.f64 (*.f64 -3 c)) (log.f64 a))
(+.f64 (log.f64 (*.f64 c -3)) (log.f64 a))
(+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a))))
(+.f64 (log.f64 (*.f64 -3 c)) (log.f64 a))
(+.f64 (log.f64 (*.f64 c -3)) (log.f64 a))
(+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 (*.f64 c 3)) (neg.f64 (log.f64 (/.f64 -1 a))))
(-.f64 (log.f64 (*.f64 c 3)) (log.f64 (/.f64 -1 a)))
(+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 (*.f64 c 3)) (neg.f64 (log.f64 (/.f64 -1 a))))
(-.f64 (log.f64 (*.f64 c 3)) (log.f64 (/.f64 -1 a)))
(+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 (*.f64 c 3)) (neg.f64 (log.f64 (/.f64 -1 a))))
(-.f64 (log.f64 (*.f64 c 3)) (log.f64 (/.f64 -1 a)))
(+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 (*.f64 c 3)) (neg.f64 (log.f64 (/.f64 -1 a))))
(-.f64 (log.f64 (*.f64 c 3)) (log.f64 (/.f64 -1 a)))
(+.f64 (log.f64 c) (log.f64 (*.f64 -3 a)))
(+.f64 (log.f64 (*.f64 -3 c)) (log.f64 a))
(+.f64 (log.f64 (*.f64 c -3)) (log.f64 a))
(+.f64 (log.f64 c) (log.f64 (*.f64 -3 a)))
(+.f64 (log.f64 (*.f64 -3 c)) (log.f64 a))
(+.f64 (log.f64 (*.f64 c -3)) (log.f64 a))
(+.f64 (log.f64 c) (log.f64 (*.f64 -3 a)))
(+.f64 (log.f64 (*.f64 -3 c)) (log.f64 a))
(+.f64 (log.f64 (*.f64 c -3)) (log.f64 a))
(+.f64 (log.f64 c) (log.f64 (*.f64 -3 a)))
(+.f64 (log.f64 (*.f64 -3 c)) (log.f64 a))
(+.f64 (log.f64 (*.f64 c -3)) (log.f64 a))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a)))
(+.f64 (log.f64 (*.f64 -3 c)) (log.f64 a))
(+.f64 (log.f64 (*.f64 c -3)) (log.f64 a))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a)))
(+.f64 (log.f64 (*.f64 -3 c)) (log.f64 a))
(+.f64 (log.f64 (*.f64 c -3)) (log.f64 a))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a)))
(+.f64 (log.f64 (*.f64 -3 c)) (log.f64 a))
(+.f64 (log.f64 (*.f64 c -3)) (log.f64 a))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a)))
(+.f64 (log.f64 (*.f64 -3 c)) (log.f64 a))
(+.f64 (log.f64 (*.f64 c -3)) (log.f64 a))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (.f64 3 a)))
(fma.f64 -1 (log.f64 (/.f64 -1 c)) (log.f64 (*.f64 a 3)))
(-.f64 (log.f64 (*.f64 a 3)) (log.f64 (/.f64 -1 c)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (.f64 3 a)))
(fma.f64 -1 (log.f64 (/.f64 -1 c)) (log.f64 (*.f64 a 3)))
(-.f64 (log.f64 (*.f64 a 3)) (log.f64 (/.f64 -1 c)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (.f64 3 a)))
(fma.f64 -1 (log.f64 (/.f64 -1 c)) (log.f64 (*.f64 a 3)))
(-.f64 (log.f64 (*.f64 a 3)) (log.f64 (/.f64 -1 c)))
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(fma.f64 (.f64 (/.f64 c b) (.f64 a -3)) -1/6 (fma.f64 b -2/3 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 9 (*.f64 a a))) 1/24)))
(+.f64 (/.f64 (.f64 (.f64 c a) 1/2) b) (fma.f64 b -2/3 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) 3/8) (pow.f64 b 3))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (.f64 -2/3 b) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (.f64 -1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))))))
(fma.f64 -1/6 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (fma.f64 -2/3 b (fma.f64 1/24 (/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -3) 4) (.f64 a a)) (.f64 c c)) (pow.f64 b 3)) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))) -1/48))))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -3)) -1/6 (fma.f64 b -2/3 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 9 (.f64 a a))) 1/24 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) -27) (pow.f64 a 3))) -1/48))))
(+.f64 (+.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) 3/8) (pow.f64 b 3)) (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) 9/16) (pow.f64 b 5))) (fma.f64 b -2/3 (/.f64 (.f64 (.f64 c a) 1/2) b)))

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 1/2 (/.f64 c b))
	0.0b	(*.f64 1/2 (/.f64 c b))

rewrite0.0ms (0%)

Counts: 0 → 0

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize5.0ms (0%)

Local error

Found 6 expressions with local error:

New	Error	Program
	2.9b	(-.f64 (+.f64 1 (*.f64 -2/3 b)) 1)
	0.3b	(*.f64 -2/3 b)
	0.1b	(/.f64 (-.f64 (+.f64 1 (*.f64 -2/3 b)) 1) a)
✓	0.1b	(/.f64 (-.f64 (+.f64 1 (*.f64 -2/3 b)) 1) a)
	0.3b	(*.f64 -2/3 b)
✓	2.9b	(-.f64 (+.f64 1 (*.f64 -2/3 b)) 1)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(-.f64 (+.f64 1 (*.f64 -2/3 b)) 1)
0.0ms	b	@	0	(-.f64 (+.f64 1 (*.f64 -2/3 b)) 1)
0.0ms	b	@	inf	(/.f64 (-.f64 (+.f64 1 (*.f64 -2/3 b)) 1) a)
0.0ms	b	@	-inf	(/.f64 (-.f64 (+.f64 1 (*.f64 -2/3 b)) 1) a)
0.0ms	a	@	-inf	(/.f64 (-.f64 (+.f64 1 (*.f64 -2/3 b)) 1) a)

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`unpow-prod-down_binary64`
465×	`prod-diff_binary64`
420×	`log-prod_binary64`
361×	`fma-def_binary64`
235×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	203	11
2	2809	11

Stop Event

1×	node limit

Counts

2 → 194

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 -2/3 b)) 1)
(/.f64 (-.f64 (+.f64 1 (*.f64 -2/3 b)) 1) a)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 -2/3 b -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 -2/3 b -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2/3 b) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -2/3 b 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2/3 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 -2/3 b 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -2/3 b -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) b)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) b))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2/3 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/3 b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (pow.f64 (cbrt.f64 -2/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (pow.f64 (sqrt.f64 -2/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (pow.f64 -8/27 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2/3 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2/3 b)) (pow.f64 (cbrt.f64 (*.f64 -2/3 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -2/3 b)) 2) (cbrt.f64 (*.f64 -2/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (*.f64 (cbrt.f64 b) -2/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -2/3 b)) (sqrt.f64 (*.f64 -2/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (pow.f64 (*.f64 (sqrt.f64 b) -2/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -2/3 b 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -2/3 b 1) 2) (fma.f64 -2/3 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -2/3 b 1) 3) -1) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 -2/3 b 1) 2) (fma.f64 -2/3 b 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -2/3 b 1) 2) -1) (/.f64 1 (fma.f64 -2/3 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -2/3 b 1) 2) -1) (pow.f64 (/.f64 1 (fma.f64 -2/3 b 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 -2/3 b 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -2/3 b 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2/3 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2/3 (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 -2/3 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 -2/3 b 1)) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 -2/3 b 1)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -2/3 (pow.f64 (cbrt.f64 b) 2)) 1) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -2/3 (sqrt.f64 b)) 1) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 -2/3) 3) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -2/3 b))) 2) 3) (cbrt.f64 (*.f64 -2/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 -2/3 b))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 -2/3 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 -2/3) 2) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -8/27 1/3) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 -8/27 (pow.f64 b 3))) 1/3) (pow.f64 (sqrt.f64 (*.f64 -8/27 (pow.f64 b 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 -2/3 b) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 -2/3 b) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 4/9 (*.f64 b b)) -2/3) 1/3) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 4/9 (*.f64 b b)) b) 1/3) (cbrt.f64 -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 4/9 (*.f64 b b)) (pow.f64 (cbrt.f64 (*.f64 -2/3 b)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 -2/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 4/9 (*.f64 b b)) (sqrt.f64 (*.f64 -2/3 b))) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 -2/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -2/3 b 1) 2) (fma.f64 -2/3 b 2)) (+.f64 (pow.f64 (fma.f64 -2/3 b 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -2/3 b 2) (+.f64 (pow.f64 (fma.f64 -2/3 b 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -2/3 b 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -2/3 b 1) 2) (fma.f64 -2/3 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -2/3 b 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -2/3 b 1) 2) (-.f64 1 (*.f64 (fma.f64 -2/3 b 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -2/3 b 1) 2) -1) (fma.f64 -2/3 b 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -2/3 b 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -2/3 b 1) 2) (fma.f64 -2/3 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -2/3 b 1) 2) -1)) (neg.f64 (fma.f64 -2/3 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 -2/3 b -1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 -2/3 b -1) 2) (fma.f64 -2/3 b -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 -2/3 b -1) 2)) (-.f64 1 (fma.f64 -2/3 b -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/3 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4/9 (*.f64 b b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2/3 b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2/3 b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -8/27 (pow.f64 b 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 -2/3 b 1) 2) (fma.f64 -2/3 b 2)) (+.f64 (pow.f64 (fma.f64 -2/3 b 1) 3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -2/3 b 2) (+.f64 (pow.f64 (fma.f64 -2/3 b 1) 2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4/9 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2/3) b))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -8/27 (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2/3 b) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -2/3 b 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -2/3 b -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/3 b 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b -2/3 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 b) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -2/3 b 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -2/3 b)) (pow.f64 (cbrt.f64 (*.f64 -2/3 b)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2/3 b)) 2) (cbrt.f64 (*.f64 -2/3 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -2/3 b 1)) (pow.f64 (cbrt.f64 (fma.f64 -2/3 b 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -2/3 b 1)) 2) (cbrt.f64 (fma.f64 -2/3 b 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -2/3 b 1)) 2) (*.f64 (cbrt.f64 (fma.f64 -2/3 b 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) -2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -2/3 b)) (sqrt.f64 (*.f64 -2/3 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -2/3 b 1)) (sqrt.f64 (fma.f64 -2/3 b 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -2/3 b 1)) (*.f64 (sqrt.f64 (fma.f64 -2/3 b 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) -2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 -2/3 b 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -2/3 b 1) 2) (fma.f64 -2/3 b 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -8/27 (pow.f64 b 3) 1) (/.f64 1 (fma.f64 (*.f64 -2/3 b) (fma.f64 -2/3 b -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 -2/3 b 1) 2) -1) (/.f64 1 (fma.f64 -2/3 b 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 4/9 (*.f64 b b))) (/.f64 1 (+.f64 1 (*.f64 2/3 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -2/3 b -1)) 2) (cbrt.f64 (fma.f64 -2/3 b -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -2/3 b -1)) (sqrt.f64 (fma.f64 -2/3 b -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 -2/3 b 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -2/3 b 1)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 -2/3) (sqrt.f64 b) 1) (fma.f64 (sqrt.f64 -2/3) (sqrt.f64 b) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 (sqrt.f64 b)) (sqrt.f64 b) 0)))) 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(/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -2/3 b 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -2/3 b 1)) a) (neg.f64 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (fma.f64 -2/3 b 1)) 1) (/.f64 (sqrt.f64 (fma.f64 -2/3 b 1)) a) (neg.f64 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -2/3 b 1)) 2) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (cbrt.f64 (fma.f64 -2/3 b 1)) (cbrt.f64 a)) (neg.f64 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (fma.f64 -2/3 b 1)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (fma.f64 -2/3 b 1)) (cbrt.f64 a)) (neg.f64 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -2/3 b 1)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (fma.f64 -2/3 b 1)) (sqrt.f64 a)) (neg.f64 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (fma.f64 -2/3 b 1)) (sqrt.f64 a)) (/.f64 (sqrt.f64 (fma.f64 -2/3 b 1)) (sqrt.f64 a)) (neg.f64 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 -2/3 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 -2/3 b) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 -2/3 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 -2/3 b) a)))))))

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	216
1	10	216
2	14	216
3	16	216
4	17	216

Stop Event

1×

saturated

Counts

230 → 196

Calls

Call 1

Inputs
(*.f64 -2/3 b)
(*.f64 -2/3 b)
(*.f64 -2/3 b)
(*.f64 -2/3 b)
(*.f64 -2/3 b)
(*.f64 -2/3 b)
(*.f64 -2/3 b)
(*.f64 -2/3 b)
(*.f64 -2/3 b)
(*.f64 -2/3 b)
(*.f64 -2/3 b)
(*.f64 -2/3 b)
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))

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

localize11.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	27.6b	(sqrt.f64 (.f64 (.f64 b b) 4/9))
	0.2b	(.f64 (.f64 b b) 4/9)
	0.2b	(/.f64 (sqrt.f64 (.f64 (.f64 b b) 4/9)) a)
✓	0.2b	(/.f64 (sqrt.f64 (.f64 (.f64 b b) 4/9)) a)
✓	0.2b	(.f64 (.f64 b b) 4/9)
✓	27.6b	(sqrt.f64 (.f64 (.f64 b b) 4/9))

series7.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(sqrt.f64 (.f64 (.f64 b b) 4/9))
1.0ms	b	@	inf	(.f64 (.f64 b b) 4/9)
1.0ms	b	@	0	(.f64 (.f64 b b) 4/9)
1.0ms	a	@	0	(/.f64 (sqrt.f64 (.f64 (.f64 b b) 4/9)) a)
1.0ms	b	@	0	(/.f64 (sqrt.f64 (.f64 (.f64 b b) 4/9)) a)

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`pow1_binary64`
754×	`add-log-exp_binary64`
754×	`log1p-expm1-u_binary64`
754×	`expm1-log1p-u_binary64`
736×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	169	18
2	2094	18

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (.f64 b b) 4/9))
(.f64 (.f64 b b) 4/9)
(/.f64 (sqrt.f64 (.f64 (.f64 b b) 4/9)) a)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 b 2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (pow.f64 4/9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 b 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 b 2/3)) 2) (cbrt.f64 (*.f64 b 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b 2/3)) (pow.f64 (cbrt.f64 (*.f64 b 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (sqrt.f64 (*.f64 b 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (pow.f64 (*.f64 b 4/9) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 b 2/3)) (sqrt.f64 (*.f64 b 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 16/81))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 b 2/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 4/9 1/2) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 b 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 16/81)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 b 2/3)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (*.f64 b 4/9)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b 2/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 b 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 b 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 b 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b 2/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b 2/3)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 b (*.f64 b 4/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (*.f64 b 4/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b 2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 b 4) 16/81) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (*.f64 b 4/9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 b 2/3)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 b 4) 16/81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (*.f64 b 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (*.f64 b 4/9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (*.f64 b 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (*.f64 b 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (*.f64 b 4/9))))))))

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

simplify106.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

975×	`associate-*l/_binary64`
726×	`*-commutative_binary64`
605×	`associate-*r/_binary64`
496×	`associate-/r/_binary64`
478×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	300
1	26	300
2	44	300
3	84	300
4	202	300
5	630	300
6	1219	300
7	3068	300
8	4035	300
9	4168	300
10	4346	300
11	4589	300
12	4932	300
13	5302	300
14	7228	300
15	7808	300

Stop Event

1×	node limit

Counts

121 → 81

Calls

Call 1

Inputs
(*.f64 2/3 b)
(*.f64 2/3 b)
(*.f64 2/3 b)
(*.f64 2/3 b)
(*.f64 2/3 b)
(*.f64 2/3 b)
(*.f64 2/3 b)
(*.f64 2/3 b)
(*.f64 -2/3 b)
(*.f64 -2/3 b)
(*.f64 -2/3 b)
(*.f64 -2/3 b)
(*.f64 4/9 (pow.f64 b 2))
(*.f64 4/9 (pow.f64 b 2))
(*.f64 4/9 (pow.f64 b 2))
(*.f64 4/9 (pow.f64 b 2))
(*.f64 4/9 (pow.f64 b 2))
(*.f64 4/9 (pow.f64 b 2))
(*.f64 4/9 (pow.f64 b 2))
(*.f64 4/9 (pow.f64 b 2))
(*.f64 4/9 (pow.f64 b 2))
(*.f64 4/9 (pow.f64 b 2))
(*.f64 4/9 (pow.f64 b 2))
(*.f64 4/9 (pow.f64 b 2))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))

Outputs
(*.f64 2/3 b)
(*.f64 2/3 b)
(*.f64 2/3 b)
(*.f64 2/3 b)
(*.f64 2/3 b)
(*.f64 2/3 b)
(*.f64 2/3 b)
(*.f64 2/3 b)
(*.f64 -2/3 b)
(*.f64 b -2/3)
(*.f64 -2/3 b)
(*.f64 b -2/3)
(*.f64 -2/3 b)
(*.f64 b -2/3)
(*.f64 -2/3 b)
(*.f64 b -2/3)
(*.f64 4/9 (pow.f64 b 2))
(.f64 4/9 (.f64 b b))
(.f64 b (.f64 b 4/9))
(*.f64 4/9 (pow.f64 b 2))
(.f64 4/9 (.f64 b b))
(.f64 b (.f64 b 4/9))
(*.f64 4/9 (pow.f64 b 2))
(.f64 4/9 (.f64 b b))
(.f64 b (.f64 b 4/9))
(*.f64 4/9 (pow.f64 b 2))
(.f64 4/9 (.f64 b b))
(.f64 b (.f64 b 4/9))
(*.f64 4/9 (pow.f64 b 2))
(.f64 4/9 (.f64 b b))
(.f64 b (.f64 b 4/9))
(*.f64 4/9 (pow.f64 b 2))
(.f64 4/9 (.f64 b b))
(.f64 b (.f64 b 4/9))
(*.f64 4/9 (pow.f64 b 2))
(.f64 4/9 (.f64 b b))
(.f64 b (.f64 b 4/9))
(*.f64 4/9 (pow.f64 b 2))
(.f64 4/9 (.f64 b b))
(.f64 b (.f64 b 4/9))
(*.f64 4/9 (pow.f64 b 2))
(.f64 4/9 (.f64 b b))
(.f64 b (.f64 b 4/9))
(*.f64 4/9 (pow.f64 b 2))
(.f64 4/9 (.f64 b b))
(.f64 b (.f64 b 4/9))
(*.f64 4/9 (pow.f64 b 2))
(.f64 4/9 (.f64 b b))
(.f64 b (.f64 b 4/9))
(*.f64 4/9 (pow.f64 b 2))
(.f64 4/9 (.f64 b b))
(.f64 b (.f64 b 4/9))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 (/.f64 2/3 a) b)
(/.f64 b (/.f64 a 2/3))
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 (/.f64 2/3 a) b)
(/.f64 b (/.f64 a 2/3))
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 (/.f64 2/3 a) b)
(/.f64 b (/.f64 a 2/3))
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 (/.f64 2/3 a) b)
(/.f64 b (/.f64 a 2/3))
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 (/.f64 2/3 a) b)
(/.f64 b (/.f64 a 2/3))
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 (/.f64 2/3 a) b)
(/.f64 b (/.f64 a 2/3))
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 (/.f64 2/3 a) b)
(/.f64 b (/.f64 a 2/3))
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 (/.f64 2/3 a) b)
(/.f64 b (/.f64 a 2/3))
(*.f64 b (/.f64 2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 b (/.f64 a -2/3))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 b (/.f64 a -2/3))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 b (/.f64 a -2/3))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 b (/.f64 a -2/3))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 (/.f64 2/3 a) b)
(/.f64 b (/.f64 a 2/3))
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 (/.f64 2/3 a) b)
(/.f64 b (/.f64 a 2/3))
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 (/.f64 2/3 a) b)
(/.f64 b (/.f64 a 2/3))
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 (/.f64 2/3 a) b)
(/.f64 b (/.f64 a 2/3))
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 (/.f64 2/3 a) b)
(/.f64 b (/.f64 a 2/3))
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 (/.f64 2/3 a) b)
(/.f64 b (/.f64 a 2/3))
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 (/.f64 2/3 a) b)
(/.f64 b (/.f64 a 2/3))
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 (/.f64 2/3 a) b)
(/.f64 b (/.f64 a 2/3))
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 (/.f64 2/3 a) b)
(/.f64 b (/.f64 a 2/3))
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 (/.f64 2/3 a) b)
(/.f64 b (/.f64 a 2/3))
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 (/.f64 2/3 a) b)
(/.f64 b (/.f64 a 2/3))
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 (/.f64 2/3 a) b)
(/.f64 b (/.f64 a 2/3))
(*.f64 b (/.f64 2/3 a))

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	1.3b	(-.f64 (.f64 a (.f64 -3 c)) (*.f64 b b))
	0.2b	(.f64 1/3 (-.f64 (.f64 a (.f64 -3 c)) (.f64 b b)))
	0.2b	(.f64 a (.f64 -3 c))
	0.1b	(.f64 a (+.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b))
✓	0.2b	(.f64 1/3 (-.f64 (.f64 a (.f64 -3 c)) (.f64 b b)))
✓	1.3b	(-.f64 (.f64 a (.f64 -3 c)) (*.f64 b b))
✓	14.0b	(sqrt.f64 (.f64 a (.f64 -3 c)))
✓	15.2b	(/.f64 (.f64 1/3 (-.f64 (.f64 a (.f64 -3 c)) (.f64 b b))) (.f64 a (+.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b)))

series52.0ms (0.3%)

Counts

4 → 86

Calls

33 calls:

Time	Variable		Point	Expression
16.0ms	a	@	-inf	(/.f64 (.f64 1/3 (-.f64 (.f64 a (.f64 -3 c)) (.f64 b b))) (.f64 a (+.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b)))
10.0ms	c	@	-inf	(/.f64 (.f64 1/3 (-.f64 (.f64 a (.f64 -3 c)) (.f64 b b))) (.f64 a (+.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b)))
4.0ms	c	@	inf	(/.f64 (.f64 1/3 (-.f64 (.f64 a (.f64 -3 c)) (.f64 b b))) (.f64 a (+.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b)))
3.0ms	a	@	inf	(/.f64 (.f64 1/3 (-.f64 (.f64 a (.f64 -3 c)) (.f64 b b))) (.f64 a (+.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b)))
2.0ms	a	@	0	(/.f64 (.f64 1/3 (-.f64 (.f64 a (.f64 -3 c)) (.f64 b b))) (.f64 a (+.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b)))

rewrite131.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

785×	`fma-def_binary64`
429×	`fma-neg_binary64`
304×	`expm1-udef_binary64`
304×	`log1p-udef_binary64`
249×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	71
1	349	56
2	5259	56

Stop Event

1×	node limit

Counts

4 → 347

Calls

Call 1

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

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

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

603×	`associate-/l/_binary64`
414×	`distribute-rgt-in_binary64`
402×	`fma-neg_binary64`
400×	`distribute-lft-in_binary64`
303×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	1326
1	262	1222
2	866	1173
3	3665	1072

Stop Event

1×	node limit

Counts

433 → 375

Calls

Call 1

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

Outputs
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)
(.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -3))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -3))))
(neg.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -3))
(+.f64 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -3)))))
(+.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -3)))) (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -3) 2)))
(-.f64 (/.f64 (/.f64 b a) -3) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(-.f64 (/.f64 b (*.f64 a -3)) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(+.f64 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -3)))) (.f64 3 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))))) (pow.f64 b 2))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -3))))))
(+.f64 (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -3) 2)) (fma.f64 1/3 (.f64 (+.f64 (neg.f64 (.f64 (/.f64 1 (sqrt.f64 -3)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))))) (.f64 -3 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))))) (.f64 b b)) (neg.f64 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -3))))))
(+.f64 (/.f64 (/.f64 b a) -3) (fma.f64 (.f64 1/3 (fma.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (sqrt.f64 -3)) (.f64 (.f64 -3 (/.f64 -1/3 (sqrt.f64 -3))) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))))) (.f64 b b) (neg.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))))
(-.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (-.f64 (/.f64 -1 (sqrt.f64 -3)) (/.f64 -1 (sqrt.f64 -3)))) (.f64 b (.f64 b 1/3)) (/.f64 b (*.f64 a -3))) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(-.f64 (fma.f64 (.f64 b b) 0 (/.f64 b (.f64 a -3))) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(+.f64 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2))) (+.f64 (.f64 -1/3 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (-.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -3)))) (.f64 3 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))))) (pow.f64 b 3)) (sqrt.f64 -3)))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -3)))) (.f64 3 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))))) (pow.f64 b 2))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -3)))))))
(+.f64 (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -3) 2)) (fma.f64 -1/3 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (+.f64 (neg.f64 (.f64 (/.f64 1 (sqrt.f64 -3)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))))) (.f64 -3 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))))) (/.f64 (sqrt.f64 -3) (pow.f64 b 3)))) (fma.f64 1/3 (.f64 (+.f64 (neg.f64 (.f64 (/.f64 1 (sqrt.f64 -3)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))))) (.f64 -3 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))))) (.f64 b b)) (neg.f64 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -3)))))))
(+.f64 (/.f64 (/.f64 b a) -3) (fma.f64 -1/3 (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (fma.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (sqrt.f64 -3)) (.f64 (.f64 -3 (/.f64 -1/3 (sqrt.f64 -3))) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))))) (/.f64 (sqrt.f64 -3) (pow.f64 b 3)))) (fma.f64 (.f64 1/3 (fma.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (sqrt.f64 -3)) (.f64 (.f64 -3 (/.f64 -1/3 (sqrt.f64 -3))) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))))) (.f64 b b) (neg.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))))
(fma.f64 -1/3 (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (.f64 (pow.f64 b 3) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (-.f64 (/.f64 -1 (sqrt.f64 -3)) (/.f64 -1 (sqrt.f64 -3)))) (sqrt.f64 -3)))) (-.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (-.f64 (/.f64 -1 (sqrt.f64 -3)) (/.f64 -1 (sqrt.f64 -3)))) (.f64 b (.f64 b 1/3)) (/.f64 b (.f64 a -3))) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) 0 (-.f64 (fma.f64 (.f64 b b) 0 (/.f64 b (*.f64 a -3))) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -3) 1/3)))
(+.f64 (.f64 -1/3 (/.f64 b a)) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 -3 c) (.f64 c (pow.f64 (sqrt.f64 -3) 2))) b)) (.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 -1/3 (/.f64 b a) (.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
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eval432.0ms (2.3%)

Compiler: Compiled 22839 to 13884 computations (39.2% saved)

prune191.0ms (1%)

Pruning

70 alts after pruning (61 fresh and 9 done)

	Pruned	Kept	Total
New	927	30	957
Fresh	16	31	47
Picked	1	0	1
Done	0	9	9
Total	944	70	1014

Error

0.4b

Counts

1014 → 70

Alt Table

Click to see full alt table

Status	Error	Program
	46.8b	(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
	57.2b	(exp.f64 (log.f64 (*.f64 1/2 (/.f64 c b))))
	62.3b	(.f64 (.f64 b 2/3) (/.f64 1 a))
	39.3b	(*.f64 (/.f64 -1/2 b) c)
	42.5b	(/.f64 (.f64 a (neg.f64 c)) (.f64 a (+.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)))
	62.3b	(*.f64 (/.f64 b (pow.f64 (cbrt.f64 a) 2)) (/.f64 2/3 (cbrt.f64 a)))
	45.3b	(/.f64 (.f64 (/.f64 (.f64 (*.f64 c a) -3/2) b) 1/3) a)
	49.2b	(/.f64 (+.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -3/8) (pow.f64 b 3))) a)
	62.3b	(.f64 b (.f64 2/3 (/.f64 1 a)))
	54.3b	(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (.f64 -2/3 b) a) 2) (.f64 -2/3 b)) 1/3) (cbrt.f64 (/.f64 1 a)))
	46.6b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -3)))) b) 1/3)))
	49.8b	(-.f64 (/.f64 (fma.f64 -2/3 b 1) a) (/.f64 1 a))
	45.2b	(/.f64 (.f64 -2 b) (.f64 3 a))
	55.9b	(/.f64 (/.f64 (*.f64 1/2 c) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
	62.4b	(-.f64 (+.f64 1 (/.f64 b (/.f64 a 2/3))) 1)
	63.1b	(exp.f64 (log.f64 (/.f64 b (/.f64 a 2/3))))
✓	31.0b	(/.f64 (.f64 (-.f64 (hypot.f64 b (exp.f64 (.f64 (log.f64 (.f64 a (.f64 c -3))) 1/2))) b) 1/3) a)
	62.5b	(/.f64 (expm1.f64 (log1p.f64 (*.f64 b 2/3))) a)
	62.3b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (.f64 b 2/3) (cbrt.f64 a)))
✓	45.3b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
	39.2b	(/.f64 (*.f64 -1/2 c) b)
	45.3b	(fma.f64 (/.f64 b a) -2/3 (*.f64 1/2 (/.f64 c b)))
	46.4b	(/.f64 (exp.f64 (log.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b))) (*.f64 3 a))
	47.8b	(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
	62.8b	(/.f64 (exp.f64 (log.f64 (*.f64 b 2/3))) a)
	45.3b	(.f64 (.f64 (/.f64 -3/2 b) (*.f64 c a)) (/.f64 1/3 a))
	45.2b	(/.f64 1 (*.f64 -3/2 (/.f64 a b)))
	62.8b	(.f64 (/.f64 (sqrt.f64 (.f64 b 2/3)) 1) (/.f64 (sqrt.f64 (*.f64 b 2/3)) a))
	45.2b	(*.f64 b (/.f64 -2/3 a))
	52.5b	(.f64 (-.f64 (.f64 (sqrt.f64 (*.f64 -3 c)) (sqrt.f64 a)) b) (/.f64 1/3 a))
	45.3b	(/.f64 (.f64 (/.f64 -3/2 b) (.f64 c a)) (*.f64 3 a))
	31.8b	(/.f64 (exp.f64 (log.f64 (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -3 (*.f64 a c))) b) b) 1/3))) a)
	47.2b	(/.f64 (exp.f64 (log.f64 (*.f64 -2/3 b))) a)
	62.3b	(pow.f64 (/.f64 a (*.f64 b 2/3)) -1)
	45.2b	(/.f64 -2/3 (/.f64 a b))
✓	45.1b	(*.f64 -2/3 (/.f64 b a))
	44.9b	(.f64 (-.f64 (exp.f64 (.f64 (log.f64 (.f64 a (.f64 -3 c))) 1/2)) b) (/.f64 1/3 a))
	45.3b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
	62.3b	(/.f64 (*.f64 2/3 b) a)
	46.7b	(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 3/2 b) (.f64 c a)) b)) (*.f64 3 a))
	46.7b	(/.f64 (.f64 (-.f64 (hypot.f64 b (exp.f64 (.f64 (+.f64 (log.f64 (*.f64 a -3)) (log.f64 c)) 1/2))) b) 1/3) a)
	45.3b	(/.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) a)
✓	43.8b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
	45.5b	(/.f64 (.f64 (.f64 -2/3 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b)) a)
	43.8b	(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3) a)
	62.3b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 b 2/3)) 3) a)
	51.4b	(/.f64 (sqrt.f64 (.f64 b (.f64 b 4/9))) a)
	45.2b	(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -3/2 b) -1))
	43.8b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (.f64 1/3 (/.f64 1 a)))
✓	51.5b	(/.f64 (sqrt.f64 (.f64 (.f64 b b) 4/9)) a)
	62.9b	(/.f64 (pow.f64 (pow.f64 (*.f64 b 2/3) 3) 1/3) a)
	32.7b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -3)))) b) (/.f64 1/3 a))
	56.8b	(/.f64 1 (/.f64 a (pow.f64 (pow.f64 (*.f64 -2/3 b) 3) 1/3)))
✓	32.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	62.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 b 2/3)) 2) (.f64 (cbrt.f64 (.f64 b 2/3)) (/.f64 1 a)))
	43.9b	(/.f64 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3)))
	55.9b	(*.f64 (/.f64 1/2 b) c)
	45.2b	(/.f64 1 (.f64 (.f64 a -3/2) (/.f64 1 b)))
	62.3b	(*.f64 b (/.f64 2/3 a))
	43.8b	(/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) (*.f64 a 3))
	45.4b	(fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b)) (/.f64 (*.f64 -2/3 b) a))
✓	55.9b	(*.f64 1/2 (/.f64 c b))
	47.0b	(/.f64 (.f64 (-.f64 (hypot.f64 b (exp.f64 (.f64 (-.f64 (log.f64 (*.f64 c 3)) (log.f64 (/.f64 -1 a))) 1/2))) b) 1/3) a)
	45.2b	(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
✓	45.2b	(/.f64 (*.f64 -2/3 b) a)
	45.2b	(/.f64 1 (pow.f64 (*.f64 -2/3 (/.f64 b a)) -1))
	62.3b	(*.f64 2/3 (/.f64 b a))
	43.8b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
✓	49.8b	(/.f64 (-.f64 (+.f64 1 (*.f64 -2/3 b)) 1) a)
	56.8b	(/.f64 (pow.f64 (*.f64 -8/27 (pow.f64 b 3)) 1/3) a)

Compiler

Compiled 952 to 719 computations (24.5% saved)

regimes1.9s (10.1%)

Counts

124 → 3

Calls

Call 1

Inputs
(*.f64 b (/.f64 -2/3 a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 b (/.f64 a -1/3))
(*.f64 (/.f64 -1/2 b) c)
(*.f64 -1/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 b (/.f64 -2/3 a))
(*.f64 (/.f64 1/2 b) c)
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(.f64 (.f64 b 2/3) (/.f64 1 a))
(.f64 b (.f64 2/3 (/.f64 1 a)))
(/.f64 1 (*.f64 -3/2 (/.f64 a b)))
(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
(/.f64 (.f64 -2 b) (.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(/.f64 (.f64 b -2) (.f64 3 a))
(-.f64 (+.f64 1 (/.f64 b (/.f64 a 2/3))) 1)
(/.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) a)
(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
(/.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) a)
(/.f64 1 (.f64 (.f64 a -3/2) (/.f64 1 b)))
(/.f64 (-.f64 (+.f64 1 (*.f64 -2/3 b)) 1) a)
(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
(/.f64 (.f64 (/.f64 (.f64 (*.f64 c a) -3/2) b) 1/3) a)
(/.f64 1 (/.f64 a (/.f64 (.f64 (.f64 c a) -1/2) b)))
(/.f64 (.f64 (/.f64 (.f64 (*.f64 c a) -3/2) b) 1/3) a)
(.f64 (.f64 (/.f64 -3/2 b) (*.f64 c a)) (/.f64 1/3 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(/.f64 (.f64 (/.f64 -3/2 b) (.f64 c a)) (*.f64 3 a))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 3/2 b) (.f64 c a)) b)) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 3/2 b) (.f64 c a)) b)) (*.f64 3 a))
(pow.f64 (/.f64 a (*.f64 b 2/3)) -1)
(/.f64 (sqrt.f64 (.f64 b (.f64 b 4/9))) a)
(/.f64 (sqrt.f64 (.f64 (.f64 b b) 4/9)) a)
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -3/2 b) -1))
(/.f64 1 (pow.f64 (*.f64 -2/3 (/.f64 b a)) -1))
(-.f64 (/.f64 (fma.f64 -2/3 b 1) a) (/.f64 1 a))
(/.f64 1 (/.f64 a (sqrt.f64 (.f64 (.f64 b b) 4/9))))
(fma.f64 (/.f64 b a) -2/3 (*.f64 1/2 (/.f64 c b)))
(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3) a)
(/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) (*.f64 a 3))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (.f64 1/3 (/.f64 1 a)))
(/.f64 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3)))
(/.f64 (.f64 a (neg.f64 c)) (.f64 a (+.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.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))
(/.f64 (.f64 1/3 (-.f64 (.f64 a (.f64 -3 c)) (.f64 b b))) (.f64 a (+.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b)))
(/.f64 (-.f64 (.f64 a (.f64 -3 c)) (.f64 b b)) (.f64 (.f64 a 3) (+.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b)))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -3/8) (pow.f64 b 3))) a)
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 c b))))
(exp.f64 (log.f64 (/.f64 b (/.f64 a 2/3))))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 b 2/3))) a)
(/.f64 (exp.f64 (log.f64 (*.f64 b 2/3))) a)
(/.f64 (exp.f64 (log.f64 (*.f64 -2/3 b))) a)
(exp.f64 (log.f64 (*.f64 -2/3 (/.f64 b a))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 b 2/3)) 3) a)
(pow.f64 (cbrt.f64 (*.f64 -2/3 (/.f64 b a))) 3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9))
(pow.f64 (cbrt.f64 (*.f64 -2/3 (/.f64 b a))) 3)
(/.f64 (pow.f64 (pow.f64 (*.f64 b 2/3) 3) 1/3) a)
(/.f64 (pow.f64 (*.f64 -8/27 (pow.f64 b 3)) 1/3) a)
(/.f64 (pow.f64 (pow.f64 (*.f64 -2/3 b) 3) 1/3) a)
(/.f64 1 (/.f64 a (pow.f64 (pow.f64 (*.f64 -2/3 b) 3) 1/3)))
(.f64 (/.f64 (sqrt.f64 (.f64 b 2/3)) 1) (/.f64 (sqrt.f64 (*.f64 b 2/3)) a))
(.f64 (-.f64 (.f64 (sqrt.f64 (*.f64 -3 c)) (sqrt.f64 a)) b) (/.f64 1/3 a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (exp.f64 (log.f64 (.f64 1/2 (/.f64 c b)))))
(.f64 1/3 (/.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 -3 a) c))) b) a))
(/.f64 (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -3))) b) 1/3) a)
(.f64 1/3 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) a))
(.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) (/.f64 1/3 a))
(.f64 (-.f64 (exp.f64 (.f64 (log.f64 (.f64 a (.f64 -3 c))) 1/2)) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) -3 (*.f64 b b))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
(fma.f64 -3/8 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c)) (*.f64 -1/2 (/.f64 c b)))
(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -3))) b) 1/3)))
(fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a))) (.f64 -1/2 (/.f64 c b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 -3 (.f64 a c) (.f64 b b)))) (*.f64 3 a))
(.f64 (/.f64 1 a) (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 1/3))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (.f64 1/3 (/.f64 1 a)))
(*.f64 (/.f64 b (pow.f64 (cbrt.f64 a) 2)) (/.f64 2/3 (cbrt.f64 a)))
(/.f64 (/.f64 (*.f64 1/2 c) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(/.f64 (.f64 (.f64 -2/3 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b)) a)
(/.f64 (/.f64 (*.f64 -2/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (.f64 b 2/3) (cbrt.f64 a)))
(.f64 (pow.f64 (cbrt.f64 (.f64 b 2/3)) 2) (.f64 (cbrt.f64 (.f64 b 2/3)) (/.f64 1 a)))
(.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -3))) b) b) (/.f64 1/3 a))
(pow.f64 (.f64 3 (/.f64 a (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 -3 a) c))) b))) -1)
(pow.f64 (/.f64 (.f64 3 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))))) -1)
(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -3)))) b) 1/3)))
(/.f64 (.f64 (-.f64 (hypot.f64 b (exp.f64 (.f64 (log.f64 (.f64 a (.f64 c -3))) 1/2))) b) 1/3) a)
(+.f64 (.f64 -2/3 (/.f64 b a)) (/.f64 (/.f64 (.f64 1/2 c) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b)))
(.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -3) (*.f64 b b)) 3/2)) b) (/.f64 1/3 a))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (.f64 -2/3 b) a) 2) (.f64 -2/3 b)) 1/3) (cbrt.f64 (/.f64 1 a)))
(.f64 (-.f64 (exp.f64 (.f64 (log.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) 1/2)) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 -3 a) c)) 1/4) 2)) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2)) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 1/2))) (.f64 3 a))
(.f64 (/.f64 (-.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))))) (/.f64 1/3 a))
(/.f64 (exp.f64 (log.f64 (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -3 (*.f64 a c))) b) b) 1/3))) a)
(/.f64 (exp.f64 (log.f64 (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -3))) b) b) 1/3))) a)
(/.f64 (exp.f64 (log.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b))) (*.f64 3 a))
(fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b)) (/.f64 (*.f64 -2/3 b) a))
(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
(exp.f64 (log.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) (/.f64 1/3 a))))
(/.f64 (.f64 (-.f64 (hypot.f64 b (exp.f64 (.f64 (+.f64 (log.f64 (*.f64 a -3)) (log.f64 c)) 1/2))) b) 1/3) a)
(/.f64 (.f64 (-.f64 (hypot.f64 b (exp.f64 (.f64 (-.f64 (log.f64 (*.f64 c 3)) (log.f64 (/.f64 -1 a))) 1/2))) b) 1/3) a)

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

Calls

6 calls:

483.0ms	c
348.0ms	a
343.0ms	(*.f64 3 a)
336.0ms	(*.f64 3 a)
174.0ms	b

Results

Error	Segments	Branch
22.1b	6	`a`
8.0b	3	`b`
21.5b	7	`c`
11.0b	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
22.1b	6	`(*.f64 3 a)`
22.1b	6	`(*.f64 3 a)`

Compiler

Compiled 1495 to 936 computations (37.4% saved)

bsearch217.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
152.0ms	4.7170549800539966e-82	2.7605618242443056e-73
64.0ms	-6.586980338577917e+138	-2.952015438873185e+136

Compiler

Compiled 548 to 399 computations (27.2% saved)

regimes986.0ms (5.3%)

Counts

63 → 3

Calls

Call 1

Inputs
(*.f64 b (/.f64 -2/3 a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 b (/.f64 a -1/3))
(*.f64 (/.f64 -1/2 b) c)
(*.f64 -1/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 b (/.f64 -2/3 a))
(*.f64 (/.f64 1/2 b) c)
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(.f64 (.f64 b 2/3) (/.f64 1 a))
(.f64 b (.f64 2/3 (/.f64 1 a)))
(/.f64 1 (*.f64 -3/2 (/.f64 a b)))
(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
(/.f64 (.f64 -2 b) (.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(/.f64 (.f64 b -2) (.f64 3 a))
(-.f64 (+.f64 1 (/.f64 b (/.f64 a 2/3))) 1)
(/.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) a)
(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
(/.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) a)
(/.f64 1 (.f64 (.f64 a -3/2) (/.f64 1 b)))
(/.f64 (-.f64 (+.f64 1 (*.f64 -2/3 b)) 1) a)
(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
(/.f64 (.f64 (/.f64 (.f64 (*.f64 c a) -3/2) b) 1/3) a)
(/.f64 1 (/.f64 a (/.f64 (.f64 (.f64 c a) -1/2) b)))
(/.f64 (.f64 (/.f64 (.f64 (*.f64 c a) -3/2) b) 1/3) a)
(.f64 (.f64 (/.f64 -3/2 b) (*.f64 c a)) (/.f64 1/3 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(/.f64 (.f64 (/.f64 -3/2 b) (.f64 c a)) (*.f64 3 a))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 3/2 b) (.f64 c a)) b)) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 3/2 b) (.f64 c a)) b)) (*.f64 3 a))
(pow.f64 (/.f64 a (*.f64 b 2/3)) -1)
(/.f64 (sqrt.f64 (.f64 b (.f64 b 4/9))) a)
(/.f64 (sqrt.f64 (.f64 (.f64 b b) 4/9)) a)
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -3/2 b) -1))
(/.f64 1 (pow.f64 (*.f64 -2/3 (/.f64 b a)) -1))
(-.f64 (/.f64 (fma.f64 -2/3 b 1) a) (/.f64 1 a))
(/.f64 1 (/.f64 a (sqrt.f64 (.f64 (.f64 b b) 4/9))))
(fma.f64 (/.f64 b a) -2/3 (*.f64 1/2 (/.f64 c b)))
(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3) a)
(/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) (*.f64 a 3))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (.f64 1/3 (/.f64 1 a)))
(/.f64 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3)))
(/.f64 (.f64 a (neg.f64 c)) (.f64 a (+.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -3)))) b) (/.f64 1/3 a))

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

Calls

5 calls:

341.0ms	c
254.0ms	(*.f64 3 a)
142.0ms	(*.f64 3 a)
142.0ms	a
88.0ms	b

Results

Error	Segments	Branch
27.7b	5	`a`
8.1b	3	`b`
24.5b	12	`c`
27.7b	5	`(*.f64 3 a)`
27.7b	5	`(*.f64 3 a)`

Compiler

Compiled 601 to 365 computations (39.3% saved)

bsearch201.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
151.0ms	4.7170549800539966e-82	2.7605618242443056e-73
50.0ms	-6.586980338577917e+138	-2.952015438873185e+136

Compiler

Compiled 532 to 383 computations (28% saved)

regimes1.5s (7.9%)

Counts

62 → 3

Calls

Call 1

Inputs
(*.f64 b (/.f64 -2/3 a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 b (/.f64 a -1/3))
(*.f64 (/.f64 -1/2 b) c)
(*.f64 -1/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 b (/.f64 -2/3 a))
(*.f64 (/.f64 1/2 b) c)
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(.f64 (.f64 b 2/3) (/.f64 1 a))
(.f64 b (.f64 2/3 (/.f64 1 a)))
(/.f64 1 (*.f64 -3/2 (/.f64 a b)))
(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
(/.f64 (.f64 -2 b) (.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(/.f64 (.f64 b -2) (.f64 3 a))
(-.f64 (+.f64 1 (/.f64 b (/.f64 a 2/3))) 1)
(/.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) a)
(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
(/.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) a)
(/.f64 1 (.f64 (.f64 a -3/2) (/.f64 1 b)))
(/.f64 (-.f64 (+.f64 1 (*.f64 -2/3 b)) 1) a)
(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
(/.f64 (.f64 (/.f64 (.f64 (*.f64 c a) -3/2) b) 1/3) a)
(/.f64 1 (/.f64 a (/.f64 (.f64 (.f64 c a) -1/2) b)))
(/.f64 (.f64 (/.f64 (.f64 (*.f64 c a) -3/2) b) 1/3) a)
(.f64 (.f64 (/.f64 -3/2 b) (*.f64 c a)) (/.f64 1/3 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(/.f64 (.f64 (/.f64 -3/2 b) (.f64 c a)) (*.f64 3 a))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 3/2 b) (.f64 c a)) b)) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 3/2 b) (.f64 c a)) b)) (*.f64 3 a))
(pow.f64 (/.f64 a (*.f64 b 2/3)) -1)
(/.f64 (sqrt.f64 (.f64 b (.f64 b 4/9))) a)
(/.f64 (sqrt.f64 (.f64 (.f64 b b) 4/9)) a)
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -3/2 b) -1))
(/.f64 1 (pow.f64 (*.f64 -2/3 (/.f64 b a)) -1))
(-.f64 (/.f64 (fma.f64 -2/3 b 1) a) (/.f64 1 a))
(/.f64 1 (/.f64 a (sqrt.f64 (.f64 (.f64 b b) 4/9))))
(fma.f64 (/.f64 b a) -2/3 (*.f64 1/2 (/.f64 c b)))
(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3) a)
(/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) (*.f64 a 3))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (.f64 1/3 (/.f64 1 a)))
(/.f64 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3)))
(/.f64 (.f64 a (neg.f64 c)) (.f64 a (+.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b)))

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

Calls

5 calls:

537.0ms	c
380.0ms	a
196.0ms	(*.f64 3 a)
190.0ms	(*.f64 3 a)
147.0ms	b

Results

Error	Segments	Branch
32.7b	7	`a`
10.7b	3	`b`
29.1b	12	`c`
32.7b	7	`(*.f64 3 a)`
32.7b	7	`(*.f64 3 a)`

Compiler

Compiled 585 to 356 computations (39.1% saved)

bsearch439.0ms (2.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
358.0ms	4.7170549800539966e-82	2.7605618242443056e-73
56.0ms	-1.2391850764104885e-105	-5.430711574647162e-107

Compiler

Compiled 477 to 360 computations (24.5% saved)

regimes1.3s (7%)

Counts

57 → 3

Calls

Call 1

Inputs
(*.f64 b (/.f64 -2/3 a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 b (/.f64 a -1/3))
(*.f64 (/.f64 -1/2 b) c)
(*.f64 -1/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 b (/.f64 -2/3 a))
(*.f64 (/.f64 1/2 b) c)
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(.f64 (.f64 b 2/3) (/.f64 1 a))
(.f64 b (.f64 2/3 (/.f64 1 a)))
(/.f64 1 (*.f64 -3/2 (/.f64 a b)))
(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
(/.f64 (.f64 -2 b) (.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(/.f64 (.f64 b -2) (.f64 3 a))
(-.f64 (+.f64 1 (/.f64 b (/.f64 a 2/3))) 1)
(/.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) a)
(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
(/.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) a)
(/.f64 1 (.f64 (.f64 a -3/2) (/.f64 1 b)))
(/.f64 (-.f64 (+.f64 1 (*.f64 -2/3 b)) 1) a)
(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
(/.f64 (.f64 (/.f64 (.f64 (*.f64 c a) -3/2) b) 1/3) a)
(/.f64 1 (/.f64 a (/.f64 (.f64 (.f64 c a) -1/2) b)))
(/.f64 (.f64 (/.f64 (.f64 (*.f64 c a) -3/2) b) 1/3) a)
(.f64 (.f64 (/.f64 -3/2 b) (*.f64 c a)) (/.f64 1/3 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(/.f64 (.f64 (/.f64 -3/2 b) (.f64 c a)) (*.f64 3 a))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 3/2 b) (.f64 c a)) b)) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 3/2 b) (.f64 c a)) b)) (*.f64 3 a))
(pow.f64 (/.f64 a (*.f64 b 2/3)) -1)
(/.f64 (sqrt.f64 (.f64 b (.f64 b 4/9))) a)
(/.f64 (sqrt.f64 (.f64 (.f64 b b) 4/9)) a)
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -3/2 b) -1))
(/.f64 1 (pow.f64 (*.f64 -2/3 (/.f64 b a)) -1))
(-.f64 (/.f64 (fma.f64 -2/3 b 1) a) (/.f64 1 a))
(/.f64 1 (/.f64 a (sqrt.f64 (.f64 (.f64 b b) 4/9))))
(fma.f64 (/.f64 b a) -2/3 (*.f64 1/2 (/.f64 c b)))
(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3) a)
(/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) (*.f64 a 3))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))

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

Calls

5 calls:

480.0ms	c
327.0ms	(*.f64 3 a)
206.0ms	b
136.0ms	a
134.0ms	(*.f64 3 a)

Results

Error	Segments	Branch
34.3b	5	`a`
10.7b	3	`b`
29.1b	12	`c`
34.3b	5	`(*.f64 3 a)`
34.3b	5	`(*.f64 3 a)`

Compiler

Compiled 516 to 313 computations (39.3% saved)

bsearch204.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
153.0ms	4.7170549800539966e-82	2.7605618242443056e-73
51.0ms	-1.2391850764104885e-105	-5.430711574647162e-107

Compiler

Compiled 477 to 360 computations (24.5% saved)

regimes1.0s (5.4%)

Counts

56 → 3

Calls

Call 1

Inputs
(*.f64 b (/.f64 -2/3 a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 b (/.f64 a -1/3))
(*.f64 (/.f64 -1/2 b) c)
(*.f64 -1/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 b (/.f64 -2/3 a))
(*.f64 (/.f64 1/2 b) c)
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(.f64 (.f64 b 2/3) (/.f64 1 a))
(.f64 b (.f64 2/3 (/.f64 1 a)))
(/.f64 1 (*.f64 -3/2 (/.f64 a b)))
(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
(/.f64 (.f64 -2 b) (.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(/.f64 (.f64 b -2) (.f64 3 a))
(-.f64 (+.f64 1 (/.f64 b (/.f64 a 2/3))) 1)
(/.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) a)
(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
(/.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) a)
(/.f64 1 (.f64 (.f64 a -3/2) (/.f64 1 b)))
(/.f64 (-.f64 (+.f64 1 (*.f64 -2/3 b)) 1) a)
(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
(/.f64 (.f64 (/.f64 (.f64 (*.f64 c a) -3/2) b) 1/3) a)
(/.f64 1 (/.f64 a (/.f64 (.f64 (.f64 c a) -1/2) b)))
(/.f64 (.f64 (/.f64 (.f64 (*.f64 c a) -3/2) b) 1/3) a)
(.f64 (.f64 (/.f64 -3/2 b) (*.f64 c a)) (/.f64 1/3 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(/.f64 (.f64 (/.f64 -3/2 b) (.f64 c a)) (*.f64 3 a))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 3/2 b) (.f64 c a)) b)) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 3/2 b) (.f64 c a)) b)) (*.f64 3 a))
(pow.f64 (/.f64 a (*.f64 b 2/3)) -1)
(/.f64 (sqrt.f64 (.f64 b (.f64 b 4/9))) a)
(/.f64 (sqrt.f64 (.f64 (.f64 b b) 4/9)) a)
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -3/2 b) -1))
(/.f64 1 (pow.f64 (*.f64 -2/3 (/.f64 b a)) -1))
(-.f64 (/.f64 (fma.f64 -2/3 b 1) a) (/.f64 1 a))
(/.f64 1 (/.f64 a (sqrt.f64 (.f64 (.f64 b b) 4/9))))
(fma.f64 (/.f64 b a) -2/3 (*.f64 1/2 (/.f64 c b)))
(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3) a)
(/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) (*.f64 a 3))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))

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

Calls

5 calls:

394.0ms	c
217.0ms	b
130.0ms	(*.f64 3 a)
129.0ms	(*.f64 3 a)
123.0ms	a

Results

Error	Segments	Branch
34.3b	5	`a`
10.7b	3	`b`
29.1b	12	`c`
34.3b	5	`(*.f64 3 a)`
34.3b	5	`(*.f64 3 a)`

Compiler

Compiled 503 to 306 computations (39.2% saved)

bsearch240.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
149.0ms	4.7170549800539966e-82	2.7605618242443056e-73
90.0ms	-1.2391850764104885e-105	-5.430711574647162e-107

Compiler

Compiled 461 to 344 computations (25.4% saved)

regimes888.0ms (4.8%)

Counts

53 → 3

Calls

Call 1

Inputs
(*.f64 b (/.f64 -2/3 a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 b (/.f64 a -1/3))
(*.f64 (/.f64 -1/2 b) c)
(*.f64 -1/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 b (/.f64 -2/3 a))
(*.f64 (/.f64 1/2 b) c)
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(.f64 (.f64 b 2/3) (/.f64 1 a))
(.f64 b (.f64 2/3 (/.f64 1 a)))
(/.f64 1 (*.f64 -3/2 (/.f64 a b)))
(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
(/.f64 (.f64 -2 b) (.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(/.f64 (.f64 b -2) (.f64 3 a))
(-.f64 (+.f64 1 (/.f64 b (/.f64 a 2/3))) 1)
(/.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) a)
(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
(/.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) a)
(/.f64 1 (.f64 (.f64 a -3/2) (/.f64 1 b)))
(/.f64 (-.f64 (+.f64 1 (*.f64 -2/3 b)) 1) a)
(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
(/.f64 (.f64 (/.f64 (.f64 (*.f64 c a) -3/2) b) 1/3) a)
(/.f64 1 (/.f64 a (/.f64 (.f64 (.f64 c a) -1/2) b)))
(/.f64 (.f64 (/.f64 (.f64 (*.f64 c a) -3/2) b) 1/3) a)
(.f64 (.f64 (/.f64 -3/2 b) (*.f64 c a)) (/.f64 1/3 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(/.f64 (.f64 (/.f64 -3/2 b) (.f64 c a)) (*.f64 3 a))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 3/2 b) (.f64 c a)) b)) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 3/2 b) (.f64 c a)) b)) (*.f64 3 a))
(pow.f64 (/.f64 a (*.f64 b 2/3)) -1)
(/.f64 (sqrt.f64 (.f64 b (.f64 b 4/9))) a)
(/.f64 (sqrt.f64 (.f64 (.f64 b b) 4/9)) a)
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -3/2 b) -1))
(/.f64 1 (pow.f64 (*.f64 -2/3 (/.f64 b a)) -1))
(-.f64 (/.f64 (fma.f64 -2/3 b 1) a) (/.f64 1 a))
(/.f64 1 (/.f64 a (sqrt.f64 (.f64 (.f64 b b) 4/9))))
(fma.f64 (/.f64 b a) -2/3 (*.f64 1/2 (/.f64 c b)))
(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3) a)

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

Calls

5 calls:

282.0ms	c
192.0ms	a
137.0ms	b
132.0ms	(*.f64 3 a)
126.0ms	(*.f64 3 a)

Results

Error	Segments	Branch
34.4b	5	`a`
10.8b	3	`b`
29.1b	12	`c`
34.4b	5	`(*.f64 3 a)`
34.4b	5	`(*.f64 3 a)`

Compiler

Compiled 467 to 283 computations (39.4% saved)

bsearch312.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
232.0ms	4.7170549800539966e-82	2.7605618242443056e-73
80.0ms	-1.2391850764104885e-105	-5.430711574647162e-107

Compiler

Compiled 461 to 344 computations (25.4% saved)

regimes564.0ms (3%)

Counts

52 → 2

Calls

Call 1

Inputs
(*.f64 b (/.f64 -2/3 a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 b (/.f64 a -1/3))
(*.f64 (/.f64 -1/2 b) c)
(*.f64 -1/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 b (/.f64 -2/3 a))
(*.f64 (/.f64 1/2 b) c)
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(.f64 (.f64 b 2/3) (/.f64 1 a))
(.f64 b (.f64 2/3 (/.f64 1 a)))
(/.f64 1 (*.f64 -3/2 (/.f64 a b)))
(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
(/.f64 (.f64 -2 b) (.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(/.f64 (.f64 b -2) (.f64 3 a))
(-.f64 (+.f64 1 (/.f64 b (/.f64 a 2/3))) 1)
(/.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) a)
(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
(/.f64 (/.f64 (.f64 (.f64 c a) -1/2) b) a)
(/.f64 1 (.f64 (.f64 a -3/2) (/.f64 1 b)))
(/.f64 (-.f64 (+.f64 1 (*.f64 -2/3 b)) 1) a)
(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
(/.f64 (.f64 (/.f64 (.f64 (*.f64 c a) -3/2) b) 1/3) a)
(/.f64 1 (/.f64 a (/.f64 (.f64 (.f64 c a) -1/2) b)))
(/.f64 (.f64 (/.f64 (.f64 (*.f64 c a) -3/2) b) 1/3) a)
(.f64 (.f64 (/.f64 -3/2 b) (*.f64 c a)) (/.f64 1/3 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(/.f64 (.f64 (/.f64 -3/2 b) (.f64 c a)) (*.f64 3 a))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 3/2 b) (.f64 c a)) b)) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 3/2 b) (.f64 c a)) b)) (*.f64 3 a))
(pow.f64 (/.f64 a (*.f64 b 2/3)) -1)
(/.f64 (sqrt.f64 (.f64 b (.f64 b 4/9))) a)
(/.f64 (sqrt.f64 (.f64 (.f64 b b) 4/9)) a)
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -3/2 b) -1))
(/.f64 1 (pow.f64 (*.f64 -2/3 (/.f64 b a)) -1))
(-.f64 (/.f64 (fma.f64 -2/3 b 1) a) (/.f64 1 a))
(/.f64 1 (/.f64 a (sqrt.f64 (.f64 (.f64 b b) 4/9))))
(fma.f64 (/.f64 b a) -2/3 (*.f64 1/2 (/.f64 c b)))
(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))

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

Calls

5 calls:

175.0ms	c
121.0ms	(*.f64 3 a)
104.0ms	(*.f64 3 a)
93.0ms	a
54.0ms	b

Results

Error	Segments	Branch
36.4b	4	`a`
21.7b	2	`b`
33.3b	7	`c`
36.4b	4	`(*.f64 3 a)`
36.4b	4	`(*.f64 3 a)`

Compiler

Compiled 455 to 275 computations (39.6% saved)

bsearch41.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
40.0ms	1.5534312934427276e-226	7.888791672446528e-224

Compiler

Compiled 170 to 131 computations (22.9% saved)

regimes103.0ms (0.6%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

3 calls:

53.0ms	c
32.0ms	a
15.0ms	b

Results

Error	Segments	Branch
36.4b	4	`a`
21.7b	2	`b`
33.3b	7	`c`

Compiler

Compiled 85 to 53 computations (37.6% saved)

bsearch43.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
42.0ms	1.5534312934427276e-226	7.888791672446528e-224

Compiler

Compiled 170 to 131 computations (22.9% saved)

regimes90.0ms (0.5%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

3 calls:

47.0ms	c
25.0ms	a
14.0ms	b

Results

Error	Segments	Branch
36.5b	4	`a`
21.8b	2	`b`
33.4b	7	`c`

Compiler

Compiled 75 to 47 computations (37.3% saved)

bsearch39.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
39.0ms	1.5534312934427276e-226	7.888791672446528e-224

Compiler

Compiled 170 to 131 computations (22.9% saved)

regimes85.0ms (0.5%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	c
25.0ms	a
13.0ms	b

Results

Error	Segments	Branch
36.5b	4	`a`
21.8b	2	`b`
33.4b	7	`c`

Compiler

Compiled 70 to 44 computations (37.1% saved)

bsearch39.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
39.0ms	1.5534312934427276e-226	7.888791672446528e-224

Compiler

Compiled 170 to 131 computations (22.9% saved)

regimes64.0ms (0.3%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

33.0ms	c
18.0ms	a
10.0ms	b

Results

Error	Segments	Branch
36.5b	4	`a`
21.8b	2	`b`
33.4b	7	`c`

Compiler

Compiled 50 to 32 computations (36% saved)

bsearch39.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
39.0ms	1.5534312934427276e-226	7.888791672446528e-224

Compiler

Compiled 170 to 131 computations (22.9% saved)

regimes16.0ms (0.1%)

Accuracy

Total -17.7b remaining (-39.3%)

Threshold costs -17.7b (-39.3%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 b (/.f64 -2/3 a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 b (/.f64 a -1/3))

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

Calls

3 calls:

5.0ms	b
4.0ms	c
4.0ms	a

Results

Error	Segments	Branch
45.2b	1	`a`
45.2b	1	`b`
45.2b	1	`c`

Compiler

Compiled 40 to 27 computations (32.5% saved)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
13×	`+-commutative_binary64`
8×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	85	435
1	117	429
2	138	429
3	147	429
4	153	429
5	155	429

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b -29999999999999997886547020971857474782507370587174101669722451392694194810172412017542893048622388824944061207364275344275648351729352704) (+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 8202190217936295/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b -29999999999999997886547020971857474782507370587174101669722451392694194810172412017542893048622388824944061207364275344275648351729352704) (+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 8202190217936295/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -3)))) b) (/.f64 1/3 a)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b -9307668040566700032/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (fma.f64 (/.f64 b a) -2/3 (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 8202190217936295/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (.f64 3 a)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b -9307668040566700032/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (fma.f64 (/.f64 b a) -2/3 (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 8202190217936295/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (.f64 3 a)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b -9307668040566700032/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (fma.f64 (/.f64 b a) -2/3 (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 8202190217936295/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) (.f64 a 3)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b -9307668040566700032/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (fma.f64 (/.f64 b a) -2/3 (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 8202190217936295/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) 1/3) a) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b 4160841006117029/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504) (.f64 -2/3 (/.f64 b a)) (/.f64 (.f64 -1/2 c) b))
(if (<=.f64 b 4160841006117029/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504) (/.f64 (.f64 -2/3 b) a) (/.f64 (.f64 -1/2 c) b))
(if (<=.f64 b 4160841006117029/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504) (/.f64 (.f64 -2/3 b) a) (.f64 (/.f64 -1/2 b) c))
(if (<=.f64 b 4160841006117029/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504) (/.f64 -2/3 (/.f64 a b)) (*.f64 (/.f64 -1/2 b) c))
(if (<=.f64 b 4160841006117029/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504) (.f64 b (/.f64 -2/3 a)) (.f64 (/.f64 -1/2 b) c))
(*.f64 b (/.f64 -2/3 a))

Outputs
(if (<=.f64 b -29999999999999997886547020971857474782507370587174101669722451392694194810172412017542893048622388824944061207364275344275648351729352704) (+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 8202190217936295/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b -29999999999999997886547020971857474782507370587174101669722451392694194810172412017542893048622388824944061207364275344275648351729352704) (+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b))) (if (<=.f64 b 8202190217936295/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 3))))) (.f64 a 3)) (/.f64 (*.f64 c -1/2) b)))
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(*.f64 b (/.f64 -2/3 a))

end145.0ms (0.8%)

Stop Event

1×

fuel

Compiler

Compiled 629 to 411 computations (34.7% saved)