Details

analyze970.0ms (17.2%)

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
33.8%	45.6%	20.5%	13
38.8%	38.9%	22.3%	14

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.3s (40.9%)

Results

737.0ms	5392×	body	128	valid
636.0ms	1157×	body	2048	valid
334.0ms	728×	body	1024	valid
285.0ms	437×	body	4096	valid
140.0ms	1066×	body	128	invalid
115.0ms	348×	body	512	valid
45.0ms	194×	body	256	valid

preprocess46.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

795×	`fma-def_binary64`
731×	`div-sub_binary64`
295×	`fma-neg_binary64`
212×	`associate-/l*_binary64`
209×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 20 to 14 computations (30% saved)

simplify34.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune3.0ms (0.1%)

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

37.3b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	37.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	37.4b	(.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)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 3 a) c)
✓	0.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
✓	1.4b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
✓	24.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series28.0ms (0.5%)

Counts

4 → 84

Calls

33 calls:

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

rewrite70.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

248×	`expm1-udef_binary64`
248×	`log1p-udef_binary64`
156×	`add-sqr-sqrt_binary64`
150×	`*-un-lft-identity_binary64`
150×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 117

Calls

Call 1

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

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

simplify52.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

201 → 195

Calls

Call 1

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

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

prune230.0ms (4.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	182	13	195
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	182	15	197

Error

7.8b

Counts

197 → 15

Alt Table

Status	Error	Program
	47.5b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))
	60.0b	(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) 3) (pow.f64 (*.f64 3 a) 3)))
	38.4b	(*.f64 -1/2 (/.f64 c b))
	45.1b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
▶	37.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	56.2b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 3 a))
	48.4b	(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -3)))) (/.f64 1 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))) (*.f64 3 a))
	48.1b	(pow.f64 (/.f64 (.f64 3 a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))))) -1)
	47.3b	(/.f64 (.f64 -2 b) (.f64 3 a))
	48.2b	(.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) a) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))))) 3))
	45.8b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a))
	39.9b	(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a)))
	48.4b	(.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (pow.f64 (cbrt.f64 (.f64 3 a)) 2)) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (cbrt.f64 (*.f64 3 a))))
✓	37.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	47.3b	(*.f64 -2/3 (/.f64 b a))

Compiler

Compiled 5589 to 3573 computations (36.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a (.f64 c -3))
✓	0.3b	(/.f64 1/3 a)
✓	1.4b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)
✓	24.6b	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3))))

series14.0ms (0.2%)

Counts

4 → 64

Calls

27 calls:

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

rewrite68.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`prod-diff_binary64`
230×	`log1p-udef_binary64`
132×	`add-sqr-sqrt_binary64`
125×	`*-un-lft-identity_binary64`
125×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	260	38
2	3284	38

Stop Event

1×	node limit

Counts

4 → 125

Calls

Call 1

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

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

simplify40.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

749×	`times-frac_binary64`
583×	`associate-l_binary64`
495×	`fma-def_binary64`
428×	`associate-/l*_binary64`
358×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	1431
1	340	1414
2	1184	1375

Stop Event

1×	node limit

Counts

189 → 173

Calls

Call 1

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

prune228.0ms (4%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	164	9	173
Fresh	5	8	13
Picked	0	1	1
Done	0	1	1
Total	169	19	188

Error

7.8b

Counts

188 → 19

Alt Table

Status	Error	Program
	47.5b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))
	60.0b	(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) 3) (pow.f64 (*.f64 3 a) 3)))
	56.2b	(*.f64 (-.f64 b b) (/.f64 1/3 a))
	38.4b	(*.f64 -1/2 (/.f64 c b))
	43.3b	(.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b) 3)) (/.f64 1/3 a))
	45.1b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
✓	37.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	40.1b	(.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))))) b) (/.f64 1/3 a))
	41.3b	(.f64 (-.f64 (.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))))) b) (/.f64 1/3 a))
	47.3b	(/.f64 (.f64 -2 b) (.f64 3 a))
	43.8b	(.f64 (.f64 -3/2 (*.f64 (/.f64 c b) a)) (/.f64 1/3 a))
	39.1b	(.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -3))) 1/4) (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -3))) 1/4) (neg.f64 b)) (/.f64 1/3 a))
	39.9b	(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a)))
	37.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
▶	36.4b	(.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b))) (/.f64 1/3 a))
	47.3b	(.f64 (.f64 -2 b) (/.f64 1/3 a))
	47.3b	(*.f64 -2/3 (/.f64 b a))
✓	37.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	48.1b	(pow.f64 (/.f64 (.f64 3 a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))))) -1)

Compiler

Compiled 4890 to 3143 computations (35.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1/3 a)
✓	0.8b	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)
✓	2.8b	(exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)))
✓	16.2b	(sqrt.f64 (.f64 a (.f64 c -3)))

series37.0ms (0.7%)

Counts

3 → 24

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	b	@	inf	(exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)))
4.0ms	a	@	0	(exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)))
4.0ms	c	@	-inf	(exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)))
3.0ms	a	@	-inf	(exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)))
3.0ms	c	@	inf	(exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)))

rewrite76.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`prod-diff_binary64`
230×	`fma-def_binary64`
204×	`expm1-udef_binary64`
204×	`log1p-udef_binary64`
123×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	238	39
2	2908	39

Stop Event

1×	node limit

Counts

3 → 190

Calls

Call 1

Inputs
(sqrt.f64 (.f64 a (.f64 c -3)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)))
(-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))) b)

Outputs

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

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

simplify44.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

872×	`fma-def_binary64`
413×	`associate-/l/_binary64`
331×	`associate-/r/_binary64`
272×	`times-frac_binary64`
204×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	920
1	182	832
2	513	748
3	2595	710

Stop Event

1×	node limit

Counts

214 → 134

Calls

Call 1

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

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

prune205.0ms (3.6%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	151	5	156
Fresh	4	12	16
Picked	1	0	1
Done	0	2	2
Total	156	19	175

Error

4.4b

Counts

175 → 19

Alt Table

Status	Error	Program
	46.6b	(.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -3)) (sqrt.f64 a))) b))) (/.f64 1/3 a))
	47.3b	(/.f64 (.f64 -2 b) (.f64 3 a))
	39.9b	(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a)))
	45.1b	(.f64 (/.f64 (.f64 (*.f64 c a) -3/2) b) (/.f64 1/3 a))
	43.3b	(.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (*.f64 a c)))) b) 3)) (/.f64 1/3 a))
	47.5b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))
	60.0b	(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) 3) (pow.f64 (*.f64 3 a) 3)))
	56.2b	(*.f64 (-.f64 b b) (/.f64 1/3 a))
	37.4b	(.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) b))) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (*.f64 a c)))) b)))) (/.f64 1/3 a))
	47.3b	(.f64 (.f64 -2 b) (/.f64 1/3 a))
✓	37.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	40.1b	(.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))))) b) (/.f64 1/3 a))
	41.3b	(.f64 (-.f64 (.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))))) b) (/.f64 1/3 a))
	43.8b	(.f64 (.f64 -3/2 (*.f64 (/.f64 c b) a)) (/.f64 1/3 a))
	39.1b	(.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -3))) 1/4) (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -3))) 1/4) (neg.f64 b)) (/.f64 1/3 a))
▶	36.5b	(.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (*.f64 a c)))) b))) (/.f64 1/3 a))
	38.4b	(*.f64 -1/2 (/.f64 c b))
✓	37.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	48.1b	(pow.f64 (/.f64 (.f64 3 a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))))) -1)

Compiler

Compiled 4491 to 2761 computations (38.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1/3 a)
✓	0.8b	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) b)
✓	2.9b	(pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) b)))
✓	16.2b	(sqrt.f64 (.f64 -3 (.f64 a c)))

series58.0ms (1%)

Counts

3 → 24

Calls

24 calls:

Time	Variable		Point	Expression
12.0ms	c	@	inf	(pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) b)))
9.0ms	a	@	-inf	(pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) b)))
7.0ms	c	@	-inf	(pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) b)))
6.0ms	a	@	inf	(pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) b)))
5.0ms	b	@	inf	(pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) b)))

rewrite68.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

559×	`prod-diff_binary64`
226×	`expm1-udef_binary64`
226×	`log1p-udef_binary64`
134×	`add-sqr-sqrt_binary64`
128×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	286	39
2	3250	39

Stop Event

1×	node limit

Counts

3 → 136

Calls

Call 1

Inputs
(sqrt.f64 (.f64 -3 (.f64 a c)))
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) b)))
(-.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (.f64 a c)))) b)

Outputs

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

simplify43.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

890×	`associate-l_binary64`
696×	`fma-def_binary64`
569×	`times-frac_binary64`
411×	`associate-/l*_binary64`
292×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	1516
1	434	1220
2	1460	962

Stop Event

1×	node limit

Counts

160 → 128

Calls

Call 1

Inputs
(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))))
(exp.f64 (+.f64 (log.f64 (.f64 1/2 (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 2))) (log.f64 (/.f64 1 b))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2))) (log.f64 (/.f64 1 b)))) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2)) (pow.f64 b 2))) (exp.f64 (+.f64 (log.f64 (.f64 1/2 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2))) (log.f64 (/.f64 1 b)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2))) (log.f64 (/.f64 1 b)))) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2)) (pow.f64 b 2))) (+.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2))) (log.f64 (/.f64 1 b)))) (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2))) (log.f64 (/.f64 1 b)))) (+.f64 (.f64 1/32 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4)) (.f64 1/24 (+.f64 (.f64 -3/4 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4)) (.f64 3 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4)))))) (pow.f64 b 4))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2))) (log.f64 (/.f64 1 b)))) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2)) (pow.f64 b 2))) (+.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2))) (log.f64 (/.f64 1 b)))) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2))) (log.f64 (/.f64 1 b)))) (+.f64 (.f64 1/32 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4)) (.f64 1/24 (+.f64 (.f64 -3/4 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4)) (.f64 3 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4)))))) (pow.f64 b 4)) (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2))) (log.f64 (/.f64 1 b)))) (+.f64 (.f64 -1/384 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6)) (+.f64 (.f64 1/720 (+.f64 (.f64 45/2 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6)) (+.f64 (.f64 -720 (/.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 (sqrt.f64 (.f64 -3 (.f64 c a))) 2))) (.f64 -15/4 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6))))) (.f64 -1/96 (.f64 (+.f64 (.f64 -3/4 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4)) (.f64 3 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4))) (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 2)))))) (pow.f64 b 6)))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 2)))
(+.f64 (.f64 1/4 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 2))) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2)) (pow.f64 b 2))) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 2))))
(+.f64 (.f64 1/4 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 2))) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2)) (pow.f64 b 2))) (+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 2))) (/.f64 (.f64 (+.f64 (.f64 1/32 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4)) (.f64 1/24 (+.f64 (.f64 -3/4 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4)) (.f64 -3/2 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4))))) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 2)))) (pow.f64 b 4))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/384 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6)) (+.f64 (.f64 1/720 (+.f64 (.f64 45/4 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6)) (+.f64 (.f64 45/2 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6)) (.f64 15/4 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6))))) (.f64 1/96 (.f64 (+.f64 (.f64 -3/4 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4)) (.f64 -3/2 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4))) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2))))) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 2)))) (pow.f64 b 6)) (+.f64 (.f64 1/4 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 2))) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2)) (pow.f64 b 2))) (+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 2))) (/.f64 (.f64 (+.f64 (.f64 1/32 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4)) (.f64 1/24 (+.f64 (.f64 -3/4 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4)) (.f64 -3/2 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4))))) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 2)))) (pow.f64 b 4)))))
(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 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 2) b))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3))))
(+.f64 (.f64 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 -1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 4) (pow.f64 b 3)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (+.f64 (.f64 -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 -1/8 (/.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 -2 b))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (*.f64 -2 b)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (pow.f64 b 5))) (.f64 -2 b))))

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

prune168.0ms (3%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	5	11	16
Picked	1	0	1
Done	0	2	2
Total	155	14	169

Error

0.9b

Counts

169 → 14

Alt Table

Status	Error	Program
	46.6b	(.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -3)) (sqrt.f64 a))) b))) (/.f64 1/3 a))
	47.3b	(/.f64 (.f64 -2 b) (.f64 3 a))
	39.9b	(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a)))
	45.1b	(.f64 (/.f64 (.f64 (*.f64 c a) -3/2) b) (/.f64 1/3 a))
	43.3b	(.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (*.f64 a c)))) b) 3)) (/.f64 1/3 a))
	47.7b	(.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 -3 a)) (sqrt.f64 c))) b))) (/.f64 1/3 a))
	47.3b	(.f64 (.f64 -2 b) (/.f64 1/3 a))
✓	37.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	41.3b	(.f64 (-.f64 (.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3)))))) b) (/.f64 1/3 a))
	39.1b	(.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -3))) 1/4) (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -3))) 1/4) (neg.f64 b)) (/.f64 1/3 a))
	60.0b	(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) 3) (pow.f64 (*.f64 3 a) 3)))
	38.4b	(*.f64 -1/2 (/.f64 c b))
✓	37.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	48.1b	(pow.f64 (/.f64 (.f64 3 a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))))) -1)

Compiler

Compiled 4800 to 3235 computations (32.6% saved)

regimes597.0ms (10.6%)

Accuracy

Total -52.2b remaining (-440.5%)

Threshold costs -52.2b (-440.5%)

Counts

30 → 3

Calls

Call 1

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

Outputs
(/.f64 (.f64 -2 b) (.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

131.0ms	21.1b	`a`
44.0ms	11.8b	`b`
93.0ms	21.9b	`c`
43.0ms	14.3b	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
132.0ms	21.1b	`(*.f64 3 a)`
139.0ms	21.1b	`(*.f64 3 a)`

Compiler

Compiled 560 to 361 computations (35.5% saved)

bsearch183.0ms (3.2%)

Algorithm

2×	binary-search

Calls

2 calls:

176.0ms	b
7.0ms	b

Steps

Iters	Point		Range
5.8e-83	∈ [	5.7024691118454846e-83	,	5.582055736400726e-80	]
-1e+133	∈ [	-3.6796224617263894e+133	,	-4.104022470095194e+131	]

Compiler

Compiled 298 to 219 computations (26.5% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b -10000000000000000223511723594768599335098409300973759560478836428900264860242343595976203511843100595010152570837624953702918544949248) (/.f64 (*.f64 -2 b) (*.f64 3 a)) (if (<=.f64 b 3964391938669209/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (/.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 -10000000000000000223511723594768599335098409300973759560478836428900264860242343595976203511843100595010152570837624953702918544949248) (/.f64 (*.f64 -2 b) (*.f64 3 a)) (if (<=.f64 b 3964391938669209/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (/.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 -10000000000000000223511723594768599335098409300973759560478836428900264860242343595976203511843100595010152570837624953702918544949248) (/.f64 (*.f64 b -2) (*.f64 3 a)) (if (<=.f64 b 3964391938669209/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (/.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 -10000000000000000223511723594768599335098409300973759560478836428900264860242343595976203511843100595010152570837624953702918544949248) (/.f64 (*.f64 b -2) (*.f64 3 a)) (if (<=.f64 b 3964391938669209/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -3)))) b) (*.f64 3 a)) (*.f64 -1/2 (/.f64 c b))))

end25.0ms (0.4%)

Stop Event

1×

fuel

Compiler

Compiled 78 to 54 computations (30.8% saved)

Details

analyze970.0ms (17.2%)

sample2.3s (40.9%)

preprocess46.0ms (0.8%)

simplify34.0ms (0.6%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

series28.0ms (0.5%)

rewrite70.0ms (1.2%)

simplify52.0ms (0.9%)

prune230.0ms (4.1%)

localize11.0ms (0.2%)

series14.0ms (0.2%)

rewrite68.0ms (1.2%)

simplify40.0ms (0.7%)

prune228.0ms (4%)

localize11.0ms (0.2%)

series37.0ms (0.7%)

rewrite76.0ms (1.3%)

simplify44.0ms (0.8%)

prune205.0ms (3.6%)

localize13.0ms (0.2%)

series58.0ms (1%)

rewrite68.0ms (1.2%)

simplify43.0ms (0.8%)

prune168.0ms (3%)

regimes597.0ms (10.6%)

bsearch183.0ms (3.2%)

simplify6.0ms (0.1%)

end25.0ms (0.4%)

Profiling