Details

analyze319.0ms (6%)

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)

sample2.3s (42.3%)

Results

857.0ms	5584×	body	256	valid
533.0ms	1132×	body	2048	valid
275.0ms	407×	body	4096	valid
266.0ms	764×	body	1024	valid
220.0ms	1551×	body	256	invalid
83.0ms	369×	body	512	valid

preprocess56.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 20 to 14 computations (30% saved)

simplify70.0ms (1.3%)

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

34.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
	34.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
▶	34.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Compiler

Compiled 76 to 52 computations (31.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
✓	0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
✓	1.0b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
✓	22.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series34.0ms (0.6%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
9.0ms	b	@	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
2.0ms	b	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
2.0ms	b	@	0	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
1.0ms	a	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
1.0ms	c	@	inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite114.0ms (2.1%)

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

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

simplify85.0ms (1.6%)

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	2092	2321
3	7362	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 (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 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 1/3 (.f64 (sqrt.f64 (/.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 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -3 (sqrt.f64 -3)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.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 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 c (/.f64 (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 (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 a a) (/.f64 c (/.f64 (pow.f64 b 3) 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 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b)))
(-.f64 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) 9/8)) b)
(-.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) 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 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b))))
(fma.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) 27/16 (-.f64 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.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 a a) (/.f64 c (/.f64 (pow.f64 b 3) 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 a a) (/.f64 c (/.f64 (pow.f64 b 3) 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 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 c (/.f64 (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 (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 a a) (/.f64 c (/.f64 (pow.f64 b 3) c))) (fma.f64 -27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) b)))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(fma.f64 -3/2 (/.f64 c (/.f64 b a)) b)
(fma.f64 -3/2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -3/2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) b))
(fma.f64 -9/8 (.f64 (/.f64 c (/.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 c (/.f64 (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 (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 a a) (/.f64 c (/.f64 (pow.f64 b 3) c))) (fma.f64 -27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) b)))
(.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 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)))
(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) (neg.f64 b)))
(fma.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)) (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 -3 (sqrt.f64 -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)) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -3 (sqrt.f64 -3)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (neg.f64 b))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 -3/2 (/.f64 b (*.f64 c a)))
(.f64 -3/2 (.f64 a (/.f64 c 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)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (*.f64 -3/2 (/.f64 c (/.f64 b a))))
(fma.f64 -9/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (/.f64 -3/2 (/.f64 b (*.f64 c a))))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (.f64 (.f64 a a) (/.f64 (.f64 c -9/8) (/.f64 (pow.f64 b 3) c))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (*.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))
(fma.f64 -9/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 -3/2 (/.f64 b (*.f64 c a)))))
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(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 (.f64 (/.f64 b (sqrt.f64 -3)) b) (.f64 1/6 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (*.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 (.f64 -1/24 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5))))) (/.f64 (pow.f64 b 4) (.f64 -3 (sqrt.f64 -3))) (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 -1/2 (/.f64 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 (pow.f64 b 3) (.f64 c (.f64 c a)))))
(fma.f64 -3/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b 3) 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 (.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 -3/8 (/.f64 (pow.f64 b 3) (.f64 c (*.f64 c a))))))
(fma.f64 -3/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c))) (fma.f64 -1/2 (/.f64 c b) (/.f64 -9/16 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (*.f64 a a))))))
(+.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 -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 (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 -3/8 (/.f64 (pow.f64 b 3) (.f64 c (*.f64 c a)))))))
(fma.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) a)) a) (fma.f64 -3/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c))) (fma.f64 -1/6 (/.f64 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) a) (pow.f64 b 7)) (*.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 (/.f64 b a) -2/3 (/.f64 1/2 (/.f64 b c)))
(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 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) 3/8)))
(fma.f64 1/2 (/.f64 c b) (fma.f64 (/.f64 b a) -2/3 (/.f64 (.f64 (.f64 c (*.f64 c a)) 3/8) (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))))))
(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 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) 3/8))))
(fma.f64 (/.f64 b a) -2/3 (fma.f64 1/2 (/.f64 c b) (fma.f64 (.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c))) 3/8 (.f64 (/.f64 (.f64 (pow.f64 c 3) 9/16) (pow.f64 b 5)) (.f64 a a)))))
(*.f64 -1/2 (/.f64 c b))
(/.f64 -1/2 (/.f64 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 (pow.f64 b 3) (.f64 c (.f64 c a)))))
(fma.f64 -3/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b 3) 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 (.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 -3/8 (/.f64 (pow.f64 b 3) (.f64 c (*.f64 c a))))))
(fma.f64 -3/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c))) (fma.f64 -1/2 (/.f64 c b) (/.f64 -9/16 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (*.f64 a a))))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(fma.f64 -1/6 (/.f64 (pow.f64 a 3) (/.f64 b (fma.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (.f64 -9/8 (/.f64 (.f64 c c) (pow.f64 b 3))) 2)))) (fma.f64 -9/16 (/.f64 (.f64 (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 -3/8 (/.f64 (pow.f64 b 3) (.f64 c (*.f64 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 a (/.f64 c (/.f64 (pow.f64 b 3) c))) (*.f64 -1/2 (/.f64 c b)))))
(*.f64 -1/2 (/.f64 c b))
(/.f64 -1/2 (/.f64 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 (pow.f64 b 3) (.f64 c (.f64 c a)))))
(fma.f64 -3/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b 3) 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 (.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 -3/8 (/.f64 (pow.f64 b 3) (.f64 c (*.f64 c a))))))
(fma.f64 -3/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c))) (fma.f64 -1/2 (/.f64 c b) (/.f64 -9/16 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (*.f64 a a))))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (.f64 a b))) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(fma.f64 -1/6 (.f64 (/.f64 (pow.f64 c 4) 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 (.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) a) (/.f64 (fma.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 81/64)) 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 (pow.f64 b 3) (.f64 c (*.f64 c a)))))))
(fma.f64 (/.f64 -1/6 a) (.f64 (pow.f64 c 4) (/.f64 (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 405/64) b)) (fma.f64 -3/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c))) (fma.f64 -1/2 (/.f64 c b) (/.f64 -9/16 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (*.f64 a a)))))))

eval213.0ms (4%)

Compiler: Compiled 11912 to 7345 computations (38.3% saved)

prune166.0ms (3.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	401	12	413
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	402	13	415

Error

4.6b

Counts

415 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	37.1b	(/.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (*.f64 3 a))
	44.7b	(/.f64 (.f64 -2 b) (.f64 3 a))
	37.9b	(*.f64 -1/2 (/.f64 c b))
	41.7b	(/.f64 (.f64 -3/2 (.f64 a (/.f64 c b))) (*.f64 3 a))
	44.9b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 -2/3 a) b))
▶	34.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -3) (fma.f64 c (.f64 a -3) (.f64 3 (.f64 a c))))))) (*.f64 3 a))
	49.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 3 a))
	34.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	34.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 c (.f64 a -3) (.f64 3 (.f64 a c)))))) (.f64 3 a))
	37.9b	(/.f64 -1/2 (/.f64 b c))
	34.7b	(/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))) (.f64 3 a))
	48.6b	(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
	44.8b	(*.f64 -2/3 (/.f64 b a))

Compiler

Compiled 454 to 320 computations (29.5% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(fma.f64 b b (fma.f64 c (.f64 a -3) (fma.f64 c (.f64 a -3) (.f64 3 (.f64 a c)))))
✓	1.0b	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -3) (fma.f64 c (.f64 a -3) (.f64 3 (.f64 a c)))))))
✓	22.3b	(sqrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -3) (fma.f64 c (.f64 a -3) (.f64 3 (.f64 a c))))))
✓	51.4b	(fma.f64 c (.f64 a -3) (.f64 3 (*.f64 a c)))

series29.0ms (0.5%)

Counts

4 → 100

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	c	@	inf	(sqrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -3) (fma.f64 c (.f64 a -3) (.f64 3 (.f64 a c))))))
2.0ms	a	@	inf	(fma.f64 c (.f64 a -3) (.f64 3 (*.f64 a c)))
2.0ms	c	@	0	(sqrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -3) (fma.f64 c (.f64 a -3) (.f64 3 (.f64 a c))))))
1.0ms	b	@	0	(sqrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -3) (fma.f64 c (.f64 a -3) (.f64 3 (.f64 a c))))))
1.0ms	a	@	-inf	(sqrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -3) (fma.f64 c (.f64 a -3) (.f64 3 (.f64 a c))))))

rewrite96.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

696×	`log-prod_binary64`
376×	`fma-def_binary64`
373×	`pow2_binary64`
259×	`pow1/3_binary64`
259×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	98
1	314	94
2	3999	94

Stop Event

1×	node limit

Counts

4 → 157

Calls

Call 1

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

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

simplify80.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

760×	`associate-/r*_binary64`
418×	`*-commutative_binary64`
363×	`fma-neg_binary64`
361×	`associate-+l+_binary64`
314×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	1928
1	725	1750
2	2627	1678
3	7034	1678

Stop Event

1×	node limit

Counts

257 → 238

Calls

Call 1

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

Outputs
(.f64 c (+.f64 (.f64 -3 a) (*.f64 3 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 -3 a) (*.f64 3 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 -3 a) (*.f64 3 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 -3 a) (*.f64 3 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 -3 a) (*.f64 3 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 -3 a) (*.f64 3 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 -3 a) (*.f64 3 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 -3 a) (*.f64 3 a)))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 c (+.f64 (.f64 -3 a) (.f64 3 a))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 c (+.f64 (.f64 -3 a) (.f64 3 a))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 c (+.f64 (.f64 -3 a) (.f64 3 a))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 c (+.f64 (.f64 -3 a) (.f64 3 a))))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 3 c) (*.f64 -3 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 3 c) (*.f64 -3 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 3 c) (*.f64 -3 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 3 c) (*.f64 -3 c)))
(.f64 c (.f64 a 0))
0
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0
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0
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0
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0
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0
(.f64 -1 (.f64 a (+.f64 (.f64 3 c) (.f64 -3 c))))
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0
(.f64 -1 (.f64 a (+.f64 (.f64 3 c) (.f64 -3 c))))
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0
(.f64 -1 (.f64 a (+.f64 (.f64 3 c) (.f64 -3 c))))
(.f64 c (.f64 a 0))
0
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b
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b
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(fma.f64 1/2 (.f64 (/.f64 a b) (.f64 c -3)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 -3 (*.f64 c a)) 2) (pow.f64 b 3))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 -3 a)) 2) (pow.f64 b 3)) (*.f64 1/2 (/.f64 a (/.f64 (/.f64 b -3) c))))
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(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 -3 (.f64 c a)) 2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -27) (pow.f64 b 5)) (/.f64 (.f64 (.f64 1/2 a) (*.f64 c -3)) b)))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 -3 a)) 2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (.f64 -27 (pow.f64 (.f64 c a) 3)) (pow.f64 b 5)) (*.f64 1/2 (/.f64 a (/.f64 (/.f64 b -3) c)))))
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(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 (.f64 -3 a) 3))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (pow.f64 (.f64 -3 a) 2))) (fma.f64 -1/2 (/.f64 (pow.f64 c 4) (/.f64 b (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 (.f64 -3 a) 2) (pow.f64 b 3))) 2) (.f64 1/16 (/.f64 (pow.f64 (.f64 -3 a) 3) (/.f64 (pow.f64 b 6) (.f64 -3 a))))))) (.f64 1/2 (/.f64 c (/.f64 b (.f64 -3 a)))))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -27)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 -3 (.f64 c a)) 2) (pow.f64 b 3)) (fma.f64 1/2 (.f64 (/.f64 a b) (.f64 c -3)) (.f64 -1/2 (.f64 (/.f64 (pow.f64 c 4) b) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 -3 a) 4) (pow.f64 b 6)) (pow.f64 (.f64 -1/8 (/.f64 (.f64 (.f64 a a) 9) (pow.f64 b 3))) 2)))))))
(fma.f64 1/16 (/.f64 (.f64 -27 (pow.f64 (.f64 c a) 3)) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 -3 a)) 2) (pow.f64 b 3)) (fma.f64 -1/2 (.f64 (.f64 (/.f64 (.f64 (pow.f64 c 4) 81) (pow.f64 b 6)) 5/64) (/.f64 (pow.f64 a 4) b)) (.f64 1/2 (/.f64 a (/.f64 (/.f64 b -3) c))))))
(+.f64 (.f64 3 (.f64 c a)) (.f64 -6 (.f64 c a)))
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(+.f64 (.f64 3 (.f64 c a)) (+.f64 (pow.f64 b 2) (.f64 -6 (.f64 c a))))
(fma.f64 a (.f64 c -3) (.f64 b b))
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(+.f64 (.f64 3 (.f64 c a)) (+.f64 (pow.f64 b 2) (.f64 -6 (.f64 c a))))
(fma.f64 a (.f64 c -3) (.f64 b b))
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(+.f64 (.f64 3 (.f64 c a)) (+.f64 (pow.f64 b 2) (.f64 -6 (.f64 c a))))
(fma.f64 a (.f64 c -3) (.f64 b b))
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(pow.f64 b 2)
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(+.f64 (.f64 3 (.f64 c a)) (+.f64 (.f64 -6 (.f64 c a)) (pow.f64 b 2)))
(fma.f64 a (.f64 c -3) (.f64 b b))
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(+.f64 (.f64 3 (.f64 c a)) (+.f64 (.f64 -6 (.f64 c a)) (pow.f64 b 2)))
(fma.f64 a (.f64 c -3) (.f64 b b))
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(+.f64 (.f64 3 (.f64 c a)) (+.f64 (.f64 -6 (.f64 c a)) (pow.f64 b 2)))
(fma.f64 a (.f64 c -3) (.f64 b b))
(fma.f64 c (.f64 -3 a) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (.f64 3 (.f64 c a)) (+.f64 (.f64 -6 (.f64 c a)) (pow.f64 b 2)))
(fma.f64 a (.f64 c -3) (.f64 b b))
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(+.f64 (.f64 3 (.f64 c a)) (+.f64 (.f64 -6 (.f64 c a)) (pow.f64 b 2)))
(fma.f64 a (.f64 c -3) (.f64 b b))
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(+.f64 (.f64 3 (.f64 c a)) (+.f64 (.f64 -6 (.f64 c a)) (pow.f64 b 2)))
(fma.f64 a (.f64 c -3) (.f64 b b))
(fma.f64 c (.f64 -3 a) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (.f64 c (+.f64 (.f64 3 a) (*.f64 -6 a))) (pow.f64 b 2))
(fma.f64 a (.f64 c -3) (.f64 b b))
(fma.f64 c (.f64 -3 a) (.f64 b b))
(+.f64 (.f64 c (+.f64 (.f64 3 a) (*.f64 -6 a))) (pow.f64 b 2))
(fma.f64 a (.f64 c -3) (.f64 b b))
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(+.f64 (.f64 c (+.f64 (.f64 3 a) (*.f64 -6 a))) (pow.f64 b 2))
(fma.f64 a (.f64 c -3) (.f64 b b))
(fma.f64 c (.f64 -3 a) (.f64 b b))
(.f64 c (+.f64 (.f64 3 a) (*.f64 -6 a)))
(.f64 a (.f64 c -3))
(.f64 -3 (.f64 c a))
(.f64 c (.f64 -3 a))
(+.f64 (pow.f64 b 2) (.f64 c (+.f64 (.f64 3 a) (*.f64 -6 a))))
(fma.f64 a (.f64 c -3) (.f64 b b))
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(+.f64 (pow.f64 b 2) (.f64 c (+.f64 (.f64 3 a) (*.f64 -6 a))))
(fma.f64 a (.f64 c -3) (.f64 b b))
(fma.f64 c (.f64 -3 a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 c (+.f64 (.f64 3 a) (*.f64 -6 a))))
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(.f64 -1 (.f64 c (+.f64 (.f64 -3 a) (.f64 6 a))))
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(+.f64 (pow.f64 b 2) (.f64 -1 (.f64 c (+.f64 (.f64 -3 a) (.f64 6 a)))))
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(+.f64 (pow.f64 b 2) (.f64 -1 (.f64 c (+.f64 (.f64 -3 a) (.f64 6 a)))))
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(fma.f64 c (.f64 -3 a) (.f64 b b))
(.f64 a (+.f64 (.f64 3 c) (*.f64 -6 c)))
(.f64 a (.f64 c -3))
(.f64 -3 (.f64 c a))
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(+.f64 (.f64 a (+.f64 (.f64 3 c) (*.f64 -6 c))) (pow.f64 b 2))
(fma.f64 a (.f64 c -3) (.f64 b b))
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(+.f64 (.f64 a (+.f64 (.f64 3 c) (*.f64 -6 c))) (pow.f64 b 2))
(fma.f64 a (.f64 c -3) (.f64 b b))
(fma.f64 c (.f64 -3 a) (.f64 b b))
(+.f64 (.f64 a (+.f64 (.f64 3 c) (*.f64 -6 c))) (pow.f64 b 2))
(fma.f64 a (.f64 c -3) (.f64 b b))
(fma.f64 c (.f64 -3 a) (.f64 b b))
(.f64 -1 (.f64 a (+.f64 (.f64 6 c) (.f64 -3 c))))
(.f64 a (.f64 c -3))
(.f64 -3 (.f64 c a))
(.f64 c (.f64 -3 a))
(+.f64 (pow.f64 b 2) (.f64 -1 (.f64 a (+.f64 (.f64 6 c) (.f64 -3 c)))))
(fma.f64 a (.f64 c -3) (.f64 b b))
(fma.f64 c (.f64 -3 a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -1 (.f64 a (+.f64 (.f64 6 c) (.f64 -3 c)))))
(fma.f64 a (.f64 c -3) (.f64 b b))
(fma.f64 c (.f64 -3 a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -1 (.f64 a (+.f64 (.f64 6 c) (.f64 -3 c)))))
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(fma.f64 c (.f64 -3 a) (.f64 b b))

eval150.0ms (2.8%)

Compiler: Compiled 8308 to 5302 computations (36.2% saved)

prune85.0ms (1.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	234	4	238
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	239	12	251

Error

4.6b

Counts

251 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	34.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 c (.f64 a -3) (.f64 3 (.f64 a c)))))) (.f64 3 a))
	49.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 3 a))
	44.9b	(/.f64 (fma.f64 b -2 (.f64 (/.f64 a (/.f64 (/.f64 b -3) c)) -1/2)) (.f64 3 a))
	37.9b	(*.f64 -1/2 (/.f64 c b))
	41.7b	(/.f64 (.f64 -3/2 (.f64 a (/.f64 c b))) (*.f64 3 a))
	37.1b	(/.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (*.f64 3 a))
	34.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	37.9b	(/.f64 -1/2 (/.f64 b c))
	34.7b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -3) (fma.f64 c (.f64 a -3) (.f64 c (.f64 a 3)))))) 3))) (*.f64 3 a))
	48.6b	(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
▶	34.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 a (+.f64 (.f64 3 c) (.f64 -6 c))) (pow.f64 b 2)))) (.f64 3 a))
	44.8b	(*.f64 -2/3 (/.f64 b a))

Compiler

Compiled 434 to 310 computations (28.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (.f64 3 c) (.f64 -6 c))
✓	0.8b	(+.f64 (.f64 a (+.f64 (.f64 3 c) (*.f64 -6 c))) (pow.f64 b 2))
✓	1.0b	(+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 a (+.f64 (.f64 3 c) (*.f64 -6 c))) (pow.f64 b 2))))
✓	22.3b	(sqrt.f64 (+.f64 (.f64 a (+.f64 (.f64 3 c) (*.f64 -6 c))) (pow.f64 b 2)))

series15.0ms (0.3%)

Counts

4 → 70

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(sqrt.f64 (+.f64 (.f64 a (+.f64 (.f64 3 c) (*.f64 -6 c))) (pow.f64 b 2)))
1.0ms	a	@	-inf	(sqrt.f64 (+.f64 (.f64 a (+.f64 (.f64 3 c) (*.f64 -6 c))) (pow.f64 b 2)))
1.0ms	b	@	inf	(+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 a (+.f64 (.f64 3 c) (*.f64 -6 c))) (pow.f64 b 2))))
1.0ms	b	@	inf	(sqrt.f64 (+.f64 (.f64 a (+.f64 (.f64 3 c) (*.f64 -6 c))) (pow.f64 b 2)))
1.0ms	a	@	-inf	(+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 a (+.f64 (.f64 3 c) (*.f64 -6 c))) (pow.f64 b 2))))

rewrite97.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`log-prod_binary64`
517×	`fma-neg_binary64`
272×	`expm1-udef_binary64`
272×	`log1p-udef_binary64`
216×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	46
1	367	42
2	5307	42

Stop Event

1×	node limit

Counts

4 → 221

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 a (+.f64 (.f64 3 c) (*.f64 -6 c))) (pow.f64 b 2)))
(+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 a (+.f64 (.f64 3 c) (*.f64 -6 c))) (pow.f64 b 2))))
(+.f64 (.f64 a (+.f64 (.f64 3 c) (*.f64 -6 c))) (pow.f64 b 2))
(+.f64 (.f64 3 c) (.f64 -6 c))

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

simplify69.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

702×	`fma-def_binary64`
590×	`associate-/l*_binary64`
570×	`associate-/r*_binary64`
427×	`unswap-sqr_binary64`
305×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	1668
1	457	1556
2	1700	1494
3	6956	1494

Stop Event

1×	node limit

Counts

291 → 287

Calls

Call 1

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

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

eval122.0ms (2.3%)

Compiler: Compiled 7419 to 4749 computations (36% saved)

prune81.0ms (1.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	287	0	287
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	287	12	299

Error

4.6b

Counts

299 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 c (.f64 a -3) (.f64 3 (.f64 a c)))))) (.f64 3 a))
	49.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 3 a))
	44.9b	(/.f64 (fma.f64 b -2 (.f64 (/.f64 a (/.f64 (/.f64 b -3) c)) -1/2)) (.f64 3 a))
	37.9b	(*.f64 -1/2 (/.f64 c b))
	41.7b	(/.f64 (.f64 -3/2 (.f64 a (/.f64 c b))) (*.f64 3 a))
	37.1b	(/.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (*.f64 3 a))
	34.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	37.9b	(/.f64 -1/2 (/.f64 b c))
	34.7b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -3) (fma.f64 c (.f64 a -3) (.f64 c (.f64 a 3)))))) 3))) (*.f64 3 a))
	48.6b	(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
✓	34.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 a (+.f64 (.f64 3 c) (.f64 -6 c))) (pow.f64 b 2)))) (.f64 3 a))
	44.8b	(*.f64 -2/3 (/.f64 b a))

Compiler

Compiled 410 to 292 computations (28.8% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(fma.f64 b b (.f64 c (.f64 a -3)))
✓	1.0b	(+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 c (.f64 a -3) (.f64 3 (*.f64 a c))))))
✓	22.3b	(sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 c (.f64 a -3) (.f64 3 (*.f64 a c)))))
	51.4b	(fma.f64 c (.f64 a -3) (.f64 3 (*.f64 a c)))

series12.0ms (0.2%)

Counts

3 → 76

Calls

27 calls:

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

rewrite78.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

760×	`log-prod_binary64`
706×	`fma-def_binary64`
385×	`fma-neg_binary64`
271×	`expm1-udef_binary64`
271×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	74
1	345	58
2	4684	54

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

Inputs

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

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

(fma.f64 b b (*.f64 c (*.f64 a -3)))

Outputs

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

simplify51.0ms (1%)

Algorithm

1×	egg-herbie

Rules

842×	`associate-/l*_binary64`
762×	`fma-def_binary64`
680×	`associate-/r*_binary64`
474×	`distribute-lft-in_binary64`
473×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	1814
1	618	1656
2	2268	1584

Stop Event

1×	node limit

Counts

198 → 188

Calls

Call 1

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

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

eval114.0ms (2.1%)

Compiler: Compiled 7354 to 4344 computations (40.9% saved)

prune69.0ms (1.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	223	12	235

Error

4.6b

Counts

235 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 c (.f64 a -3) (.f64 3 (.f64 a c)))))) (.f64 3 a))
	49.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 3 a))
	44.9b	(/.f64 (fma.f64 b -2 (.f64 (/.f64 a (/.f64 (/.f64 b -3) c)) -1/2)) (.f64 3 a))
	37.9b	(*.f64 -1/2 (/.f64 c b))
	41.7b	(/.f64 (.f64 -3/2 (.f64 a (/.f64 c b))) (*.f64 3 a))
	37.1b	(/.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (*.f64 3 a))
	34.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	37.9b	(/.f64 -1/2 (/.f64 b c))
	34.7b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -3) (fma.f64 c (.f64 a -3) (.f64 c (.f64 a 3)))))) 3))) (*.f64 3 a))
	48.6b	(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
✓	34.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 a (+.f64 (.f64 3 c) (.f64 -6 c))) (pow.f64 b 2)))) (.f64 3 a))
	44.8b	(*.f64 -2/3 (/.f64 b a))

Compiler

Compiled 217 to 155 computations (28.6% saved)

regimes577.0ms (10.8%)

Accuracy

Total -54.6b remaining (-606.3%)

Threshold costs -54.6b (-606.3%)

Counts

18 → 3

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 3 a))
(/.f64 (fma.f64 b -2 (.f64 (/.f64 a (/.f64 (/.f64 b -3) c)) -1/2)) (.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -3) (fma.f64 c (.f64 a -3) (.f64 c (.f64 a 3)))))) 3))) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 a (+.f64 (.f64 3 c) (.f64 -6 c))) (pow.f64 b 2)))) (.f64 3 a))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (*.f64 3 a))
(/.f64 (.f64 -2 b) (.f64 3 a))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (.f64 -3/2 (.f64 a (/.f64 c b))) (*.f64 3 a))
(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 -2/3 a) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -3) (fma.f64 c (.f64 a -3) (.f64 3 (.f64 a c))))))) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 c (.f64 a -3) (.f64 3 (.f64 a c)))))) (.f64 3 a))
(/.f64 -1/2 (/.f64 b c))
(/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))) (.f64 3 a))
(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
(*.f64 -2/3 (/.f64 b a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

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

Results

Time	Error	Segments	Branch
87.0ms	24.3b	9	`a`
35.0ms	9.0b	3	`b`
116.0ms	23.8b	12	`c`
51.0ms	10.7b	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
119.0ms	24.3b	9	`(*.f64 3 a)`
161.0ms	24.3b	9	`(*.f64 3 a)`

Compiler

Compiled 329 to 211 computations (35.9% saved)

bsearch195.0ms (3.7%)

Algorithm

2×	binary-search

Steps

Time	Point		Range
78.0ms	4.1e-141	∈ [	4.0704521526625936e-141	,	7.200081853891968e-140	]
117.0ms	-6.6e+133	∈ [	-1.1058193117719118e+158	,	-6.532843196336183e+133	]

Compiler

Compiled 687 to 503 computations (26.8% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	68
1	45	66
2	64	66
3	73	66
4	79	66
5	81	66

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b -65999999999999998449103299842376752108619221695397272869036344458995443979170534287371511127178688970451358592366803480490232741101568) (/.f64 (fma.f64 b -2 (*.f64 (/.f64 a (/.f64 (/.f64 b -3) c)) -1/2)) (*.f64 3 a)) (if (<=.f64 b 7036417601633875/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) (*.f64 -1/2 (/.f64 c b))))

Outputs

(if (<=.f64 b -65999999999999998449103299842376752108619221695397272869036344458995443979170534287371511127178688970451358592366803480490232741101568) (/.f64 (fma.f64 b -2 (*.f64 (/.f64 a (/.f64 (/.f64 b -3) c)) -1/2)) (*.f64 3 a)) (if (<=.f64 b 7036417601633875/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) (*.f64 -1/2 (/.f64 c b))))

(if (<=.f64 b -65999999999999998449103299842376752108619221695397272869036344458995443979170534287371511127178688970451358592366803480490232741101568) (/.f64 (fma.f64 b -2 (*.f64 (/.f64 a (/.f64 (/.f64 b -3) c)) -1/2)) (*.f64 a 3)) (if (<=.f64 b 7036417601633875/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 3))))) (*.f64 a 3)) (*.f64 -1/2 (/.f64 c b))))

(if (<=.f64 b -65999999999999998449103299842376752108619221695397272869036344458995443979170534287371511127178688970451358592366803480490232741101568) (/.f64 (fma.f64 b -2 (*.f64 (/.f64 a (/.f64 (/.f64 b -3) c)) -1/2)) (*.f64 a 3)) (if (<=.f64 b 7036417601633875/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -3)))) b) (*.f64 a 3)) (*.f64 -1/2 (/.f64 c b))))

end30.0ms (0.6%)

Stop Event

1×

fuel

Compiler

Compiled 96 to 66 computations (31.3% saved)

Details

analyze319.0ms (6%)

sample2.3s (42.3%)

preprocess56.0ms (1.1%)

simplify70.0ms (1.3%)

eval1.0ms (0%)

prune2.0ms (0%)

localize9.0ms (0.2%)

series34.0ms (0.6%)

rewrite114.0ms (2.1%)

simplify85.0ms (1.6%)

eval213.0ms (4%)

prune166.0ms (3.1%)

localize15.0ms (0.3%)

series29.0ms (0.5%)

rewrite96.0ms (1.8%)

simplify80.0ms (1.5%)

eval150.0ms (2.8%)

prune85.0ms (1.6%)

localize13.0ms (0.2%)

series15.0ms (0.3%)

rewrite97.0ms (1.8%)

simplify69.0ms (1.3%)

eval122.0ms (2.3%)

prune81.0ms (1.5%)

localize15.0ms (0.3%)

series12.0ms (0.2%)

rewrite78.0ms (1.5%)

simplify51.0ms (1%)

eval114.0ms (2.1%)

prune69.0ms (1.3%)

regimes577.0ms (10.8%)

bsearch195.0ms (3.7%)

simplify4.0ms (0.1%)

end30.0ms (0.6%)

Profiling