Details

analyze374.0ms (5.1%)

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)

sample3.2s (43.6%)

Results

956.0ms	5237×	body	64	valid
892.0ms	1167×	body	2048	valid
450.0ms	789×	body	1024	valid
353.0ms	384×	body	4096	valid
262.0ms	1573×	body	64	invalid
181.0ms	403×	body	512	valid
58.0ms	173×	body	256	valid
24.0ms	103×	body	128	valid

preprocess62.0ms (0.8%)

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)

simplify79.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

32.2b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	32.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	32.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))

Compiler

Compiled 111 to 75 computations (32.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 3 a) c)
✓	0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
✓	1.7b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
✓	21.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series20.0ms (0.3%)

Counts

4 → 100

Calls

33 calls:

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

rewrite103.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

704×	`fma-def_binary64`
634×	`log-prod_binary64`
357×	`fma-neg_binary64`
328×	`pow2_binary64`
224×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	275	47
2	3920	45

Stop Event

1×	node limit

Counts

4 → 310

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 3 a) c)

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

simplify95.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

798×	`times-frac_binary64`
637×	`associate-r_binary64`
604×	`associate-l_binary64`
518×	`fma-def_binary64`
428×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	1835
1	359	1762
2	1244	1723
3	7651	1723

Stop Event

1×	node limit

Counts

410 → 365

Calls

Call 1

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

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

prune852.0ms (11.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	353	12	365
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	354	13	367

Error

8.3b

Counts

367 → 13

Alt Table

Status	Error	Program
	32.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (pow.f64 (cbrt.f64 (.f64 3 (.f64 a c))) 3)))) (.f64 3 a))
▶	32.2b	(/.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))
	32.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	32.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 -3 (.f64 a c) (.f64 b b)))) (*.f64 3 a))
	44.9b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
	32.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) (fma.f64 c (.f64 a -3) (.f64 3 (.f64 a c)))))) (.f64 3 a))
	49.7b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (+.f64 (pow.f64 b 6) (pow.f64 (.f64 c (.f64 a -3)) 3)) (+.f64 (pow.f64 b 4) (-.f64 (pow.f64 (.f64 c (.f64 a -3)) 2) (.f64 (.f64 b b) (.f64 c (.f64 a -3)))))))) (*.f64 3 a))
	36.0b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 3)) (*.f64 3 a))
	44.2b	(/.f64 (.f64 b -2) (.f64 3 a))
	37.8b	(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
	48.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 3 a))
	47.2b	(/.f64 (pow.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) 2) (*.f64 3 a))
	43.2b	(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 3 a))

Compiler

Compiled 11062 to 6668 computations (39.7% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(fma.f64 b b (fma.f64 c (.f64 a -3) (fma.f64 c (.f64 a -3) (.f64 3 (.f64 a c)))))
✓	1.7b	(+.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)))))))
✓	21.0b	(sqrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -3) (fma.f64 c (.f64 a -3) (.f64 3 (.f64 a c))))))
✓	53.0b	(fma.f64 c (.f64 a -3) (.f64 3 (*.f64 a c)))

series29.0ms (0.4%)

Counts

4 → 100

Calls

33 calls:

Time	Variable		Point	Expression
5.0ms	b	@	-inf	(fma.f64 b b (fma.f64 c (.f64 a -3) (fma.f64 c (.f64 a -3) (.f64 3 (.f64 a c)))))
2.0ms	c	@	inf	(+.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)))))))
1.0ms	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))))))
1.0ms	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))))))
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))))))

rewrite89.0ms (1.2%)

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 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)))))))))) (#(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))))))

simplify74.0ms (1%)

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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(pow.f64 b 2)
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(*.f64 b b)
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(pow.f64 b 2)
(*.f64 b b)
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(+.f64 (.f64 c (+.f64 (.f64 3 a) (*.f64 -6 a))) (pow.f64 b 2))
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(.f64 -3 (.f64 c a))
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(.f64 -1 (.f64 c (+.f64 (.f64 -3 a) (.f64 6 a))))
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(.f64 c (.f64 -3 a))
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(pow.f64 b 2)
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(.f64 a (.f64 c -3))
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(+.f64 (.f64 a (+.f64 (.f64 3 c) (*.f64 -6 c))) (pow.f64 b 2))
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(.f64 -1 (.f64 a (+.f64 (.f64 6 c) (.f64 -3 c))))
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(+.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))
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(+.f64 (pow.f64 b 2) (.f64 -1 (.f64 a (+.f64 (.f64 6 c) (.f64 -3 c)))))
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prune430.0ms (5.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	235	3	238
Fresh	4	8	12
Picked	0	1	1
Done	0	0	0
Total	239	12	251

Error

8.3b

Counts

251 → 12

Alt Table

Status	Error	Program
	32.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (pow.f64 (cbrt.f64 (.f64 3 (.f64 a c))) 3)))) (.f64 3 a))
✓	32.2b	(/.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))
	32.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
▶	32.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 -3 (.f64 a c) (.f64 b b)))) (*.f64 3 a))
	49.7b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (+.f64 (pow.f64 b 6) (pow.f64 (.f64 c (.f64 a -3)) 3)) (+.f64 (pow.f64 b 4) (-.f64 (pow.f64 (.f64 c (.f64 a -3)) 2) (.f64 (.f64 b b) (.f64 c (.f64 a -3)))))))) (*.f64 3 a))
	36.0b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 3)) (*.f64 3 a))
	33.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 b b (fma.f64 c (.f64 a -3) (fma.f64 c (.f64 a -3) (.f64 c (.f64 a 3))))) 1/4) 3) (pow.f64 (fma.f64 b b (fma.f64 c (.f64 a -3) (fma.f64 c (.f64 a -3) (.f64 c (.f64 a 3))))) 1/4)))) (.f64 3 a))
	37.8b	(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
	48.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 3 a))
	47.2b	(/.f64 (+.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 3 a))
	43.2b	(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 3 a))
	44.4b	(/.f64 (fma.f64 b -2 (.f64 (/.f64 a (/.f64 (/.f64 b -3) c)) -1/2)) (.f64 3 a))

Compiler

Compiled 8913 to 5729 computations (35.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 -3 (.f64 a c) (.f64 b b)))) (*.f64 3 a))
✓	0.7b	(fma.f64 -3 (.f64 a c) (.f64 b b))
✓	1.7b	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 -3 (.f64 a c) (.f64 b b))))
✓	21.0b	(sqrt.f64 (fma.f64 -3 (.f64 a c) (.f64 b b)))

series22.0ms (0.3%)

Counts

4 → 96

Calls

36 calls:

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

rewrite78.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 176

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 -3 a) c))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c)))) (cbrt.f64 (fma.f64 b b (.f64 (.f64 -3 a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b b (.f64 (.f64 -3 a) c)) 1/4) (pow.f64 (fma.f64 b b (.f64 (.f64 -3 a) c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 -3 a) c))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 -3 a) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (.f64 (.f64 -3 a) c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 -3 a) c)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 -3 a) c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 -3 a) c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (.f64 (.f64 -3 a) c)) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 (.f64 -3 a) c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 -3 a) c)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))))) (/.f64 (fma.f64 b b (.f64 (.f64 -3 a) c)) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) 0) b)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b)) 2) (cbrt.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b)) (sqrt.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 (.f64 -3 a) c)) 3/2)) (/.f64 1 (fma.f64 b b (fma.f64 -3 (.f64 a c) (fma.f64 b b (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 (.f64 -3 a) c))) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b b (fma.f64 -3 (.f64 a c) (fma.f64 b b (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b)))) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 (.f64 -3 a) c)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c)))) (-.f64 (.f64 b b) (fma.f64 b b (.f64 (.f64 -3 a) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 (.f64 -3 a) c)) 3/2)) (fma.f64 b b (fma.f64 -3 (.f64 a c) (fma.f64 b b (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 (.f64 -3 a) c)) 3/2)) (+.f64 (fma.f64 b b (.f64 (.f64 -3 a) c)) (fma.f64 b b (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 (.f64 -3 a) c))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 (.f64 -3 a) c)) 3/2))) (neg.f64 (fma.f64 b b (fma.f64 -3 (.f64 a c) (fma.f64 b b (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 (.f64 -3 a) c)))) (neg.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 b b (.f64 (.f64 -3 a) c)) (.f64 b b)) (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 b b (fma.f64 -3 (.f64 a c) (fma.f64 b b (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b)))) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 (.f64 -3 a) c)) 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c)))) (-.f64 (.f64 b b) (fma.f64 b b (.f64 (.f64 -3 a) c)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) 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 -3 a) c))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) 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 -3 a) 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 -3 a) c))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) 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 -3 a) 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 -3 a) 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 -3 a) 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 -3 a) c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b 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simplify99.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

787×	`fma-def_binary64`
692×	`associate-/l*_binary64`
585×	`associate-/r*_binary64`
403×	`associate-*l/_binary64`
400×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	2382
1	525	2300
2	1906	2222
3	6936	2202

Stop Event

1×	node limit

Counts

272 → 258

Calls

Call 1

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

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

prune380.0ms (5.2%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	250	8	258
Fresh	5	5	10
Picked	0	1	1
Done	0	1	1
Total	255	15	270

Error

5.1b

Counts

270 → 15

Alt Table

Status	Error	Program
	32.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (pow.f64 (cbrt.f64 (.f64 3 (.f64 a c))) 3)))) (.f64 3 a))
✓	32.2b	(/.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))
	40.0b	(*.f64 -1/2 (/.f64 c b))
	48.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 3 a))
	47.2b	(.f64 (/.f64 (sqrt.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b)) 3) (/.f64 (sqrt.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 -3 a) c))) b)) a))
	32.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
✓	32.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 -3 (.f64 a c) (.f64 b b)))) (*.f64 3 a))
▶	31.5b	(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c)))) (/.f64 1 (.f64 -3 a)))
	44.4b	(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a))))
	37.8b	(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
	44.4b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))
	44.2b	(*.f64 (/.f64 b a) -2/3)
	47.2b	(.f64 (/.f64 1 a) (.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b) 1/3))
	32.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 -3 a) c)) 1/4) 3) (pow.f64 (fma.f64 b b (.f64 (.f64 -3 a) c)) 1/4)))) (.f64 3 a))
	44.4b	(/.f64 (fma.f64 b -2 (.f64 (/.f64 a (/.f64 (/.f64 b -3) c)) -1/2)) (.f64 3 a))

Compiler

Compiled 6694 to 4384 computations (34.5% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 -3 a) c)
✓	0.3b	(/.f64 1 (*.f64 -3 a))
✓	1.4b	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))))
✓	13.4b	(sqrt.f64 (.f64 (.f64 -3 a) c))

series27.0ms (0.4%)

Counts

4 → 48

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))))
3.0ms	c	@	-inf	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))))
2.0ms	c	@	inf	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))))
2.0ms	c	@	0	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))))
2.0ms	a	@	inf	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))))

rewrite78.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`log-prod_binary64`
566×	`prod-diff_binary64`
315×	`pow2_binary64`
232×	`fma-def_binary64`
219×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	256	35
2	3205	35

Stop Event

1×	node limit

Counts

4 → 172

Calls

Call 1

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

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

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

220 → 199

Calls

Call 1

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

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

prune284.0ms (3.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	196	3	199
Fresh	3	9	12
Picked	1	0	1
Done	0	2	2
Total	200	14	214

Error

3.0b

Counts

214 → 14

Alt Table

Status	Error	Program
	40.0b	(*.f64 -1/2 (/.f64 c b))
	48.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 3 a))
	48.6b	(.f64 (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 -3 a))))) (/.f64 1 (.f64 -3 a)))
	32.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
✓	32.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 -3 (.f64 a c) (.f64 b b)))) (*.f64 3 a))
	44.4b	(/.f64 (fma.f64 b -2 (.f64 (/.f64 a (/.f64 (/.f64 b -3) c)) -1/2)) (.f64 3 a))
	30.9b	(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (sqrt.f64 (.f64 9 (pow.f64 (.f64 a c) 2)))))) (/.f64 1 (.f64 -3 a)))
✓	32.2b	(/.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))
	44.4b	(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a))))
	31.5b	(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c)))) (.f64 (/.f64 1 a) -1/3))
	37.8b	(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
	44.4b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))
	47.2b	(.f64 (/.f64 1 a) (.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b) 1/3))
	32.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 -3 a) c)) 1/4) 3) (pow.f64 (fma.f64 b b (.f64 (.f64 -3 a) c)) 1/4)))) (.f64 3 a))

Compiler

Compiled 5589 to 3590 computations (35.8% saved)

regimes552.0ms (7.5%)

Accuracy

Total -55.1b remaining (-626.1%)

Threshold costs -55.1b (-626.1%)

Counts

28 → 3

Calls

Call 1

Inputs
(.f64 (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 -3 a))))) (/.f64 1 (.f64 -3 a)))
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (sqrt.f64 (.f64 9 (pow.f64 (.f64 a c) 2)))))) (/.f64 1 (.f64 -3 a)))
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c)))) (.f64 (/.f64 1 a) -1/3))
(*.f64 -1/2 (/.f64 c b))
(.f64 (/.f64 (sqrt.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b)) 3) (/.f64 (sqrt.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 -3 a) c))) b)) a))
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c)))) (/.f64 1 (.f64 -3 a)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a))))
(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))
(*.f64 (/.f64 b a) -2/3)
(.f64 (/.f64 1 a) (.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 -3 a) c))) b) 1/3))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 -3 a) c)) 1/4) 3) (pow.f64 (fma.f64 b b (.f64 (.f64 -3 a) c)) 1/4)))) (.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 b b (fma.f64 c (.f64 a -3) (fma.f64 c (.f64 a -3) (.f64 c (.f64 a 3))))) 1/4) 3) (pow.f64 (fma.f64 b b (fma.f64 c (.f64 a -3) (fma.f64 c (.f64 a -3) (.f64 c (.f64 a 3))))) 1/4)))) (.f64 3 a))
(/.f64 (+.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 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 (-.f64 (.f64 b b) (pow.f64 (cbrt.f64 (.f64 3 (.f64 a c))) 3)))) (.f64 3 a))
(/.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 (fma.f64 -3 (.f64 a c) (.f64 b b)))) (*.f64 3 a))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) (fma.f64 c (.f64 a -3) (.f64 3 (.f64 a c)))))) (.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (+.f64 (pow.f64 b 6) (pow.f64 (.f64 c (.f64 a -3)) 3)) (+.f64 (pow.f64 b 4) (-.f64 (pow.f64 (.f64 c (.f64 a -3)) 2) (.f64 (.f64 b b) (.f64 c (.f64 a -3)))))))) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 3)) (*.f64 3 a))
(/.f64 (.f64 b -2) (.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 3 a))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) 2) (*.f64 3 a))
(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 3 a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Outputs
(/.f64 (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

122.0ms	23.7b	`a`
45.0ms	8.8b	`b`
87.0ms	21.9b	`c`
43.0ms	11.9b	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
123.0ms	23.7b	`(*.f64 3 a)`
116.0ms	23.7b	`(*.f64 3 a)`

Compiler

Compiled 599 to 382 computations (36.2% saved)

bsearch271.0ms (3.7%)

Algorithm

2×	binary-search

Calls

2 calls:

262.0ms	b
9.0ms	b

Steps

Iters	Point		Range
2.5e-45	∈ [	2.4503580129748208e-45	,	3.706259428002222e-41	]
-1e+155	∈ [	-2.83508708323344e+157	,	-9.54566586719717e+153	]

Compiler

Compiled 307 to 225 computations (26.7% 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 -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344) (/.f64 (fma.f64 b -2 (*.f64 (/.f64 a (/.f64 (/.f64 b -3) c)) -1/2)) (*.f64 3 a)) (if (<=.f64 b 8034690221294951/3213876088517980551083924184682325205044405987565585670602752) (/.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 -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344) (/.f64 (fma.f64 b -2 (*.f64 (/.f64 a (/.f64 (/.f64 b -3) c)) -1/2)) (*.f64 3 a)) (if (<=.f64 b 8034690221294951/3213876088517980551083924184682325205044405987565585670602752) (/.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 -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344) (/.f64 (fma.f64 b -2 (*.f64 (/.f64 a (/.f64 (/.f64 b -3) c)) -1/2)) (*.f64 a 3)) (if (<=.f64 b 8034690221294951/3213876088517980551083924184682325205044405987565585670602752) (/.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 -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344) (/.f64 (fma.f64 b -2 (*.f64 (/.f64 a (/.f64 (/.f64 b -3) c)) -1/2)) (*.f64 a 3)) (if (<=.f64 b 8034690221294951/3213876088517980551083924184682325205044405987565585670602752) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -3)))) b) (*.f64 a 3)) (*.f64 -1/2 (/.f64 c b))))

end26.0ms (0.4%)

Stop Event

1×

fuel

Compiler

Compiled 96 to 66 computations (31.3% saved)

Details

analyze374.0ms (5.1%)

sample3.2s (43.6%)

preprocess62.0ms (0.8%)

simplify79.0ms (1.1%)

prune4.0ms (0.1%)

localize10.0ms (0.1%)

series20.0ms (0.3%)

rewrite103.0ms (1.4%)

simplify95.0ms (1.3%)

prune852.0ms (11.6%)

localize16.0ms (0.2%)

series29.0ms (0.4%)

rewrite89.0ms (1.2%)

simplify74.0ms (1%)

prune430.0ms (5.9%)

localize10.0ms (0.1%)

series22.0ms (0.3%)

rewrite78.0ms (1.1%)

simplify99.0ms (1.3%)

prune380.0ms (5.2%)

localize9.0ms (0.1%)

series27.0ms (0.4%)

rewrite78.0ms (1.1%)

simplify55.0ms (0.7%)

prune284.0ms (3.9%)

regimes552.0ms (7.5%)

bsearch271.0ms (3.7%)

simplify4.0ms (0.1%)

end26.0ms (0.4%)

Profiling