Details

analyze1.6s (12.5%)

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)

sample3.9s (29.3%)

Results

1.2s	5354×	body	128	valid
1.1s	1217×	body	2048	valid
537.0ms	732×	body	1024	valid
463.0ms	420×	body	4096	valid
237.0ms	1149×	body	128	invalid
193.0ms	343×	body	512	valid
73.0ms	190×	body	256	valid

Compiler

Compiled 42 to 30 computations (28.6% saved)

preprocess55.0ms (0.4%)

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)

simplify44.0ms (0.3%)

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))

prune6.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

32.3b

Counts

3 → 2

Alt Table

Status	Error	Program
	32.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
▶	32.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Compiler

Compiled 111 to 75 computations (32.4% saved)

localize17.0ms (0.1%)

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))
✓	0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
✓	23.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series164.0ms (1.2%)

Counts

4 → 100

Calls

33 calls:

Time	Variable		Point	Expression
18.0ms	a	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
16.0ms	c	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
16.0ms	a	@	-inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
12.0ms	c	@	-inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
8.0ms	c	@	inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite91.0ms (0.7%)

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	61
1	302	53
2	4494	53

Stop Event

1×	node limit

Counts

4 → 132

Calls

Call 1

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

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

736×	`times-frac_binary64`
446×	`associate-/l*_binary64`
389×	`associate-/r*_binary64`
282×	`fma-def_binary64`
151×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	1796
1	354	1730
2	1221	1703

Stop Event

1×	node limit

Counts

232 → 186

Calls

Call 1

Inputs
(sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))
(+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 3))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 5))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))) 3))))
b
(-.f64 b (.f64 3/2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -1 b)
(-.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) b)
(-.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) b)
(-.f64 (+.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 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) b)
b
(-.f64 b (.f64 3/2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
b
(-.f64 b (.f64 3/2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 -3 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))) a))
(-.f64 (.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) a)) (.f64 1/3 (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) a)) (.f64 1/6 (/.f64 (pow.f64 b 2) (.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) a)))) (.f64 1/3 (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) a)) (.f64 1/6 (/.f64 (pow.f64 b 2) (.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) a)))) (+.f64 (.f64 1/3 (/.f64 b a)) (.f64 1/24 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 3) a)))))
(*.f64 -1/2 (/.f64 c b))
(neg.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b)))))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 135/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))))
(*.f64 -2/3 (/.f64 b a))
(-.f64 (.f64 1/2 (/.f64 c b)) (.f64 2/3 (/.f64 b a)))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (.f64 1/2 (/.f64 c b))) (.f64 2/3 (/.f64 b a)))
(-.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (.f64 1/2 (/.f64 c b)))) (.f64 2/3 (/.f64 b a)))
(*.f64 -1/2 (/.f64 c b))
(neg.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b)))))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 135/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))))
(*.f64 -1/2 (/.f64 c b))
(neg.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b)))))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 135/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))

Outputs
(sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))
(sqrt.f64 (.f64 (.f64 c a) -3))
(sqrt.f64 (.f64 c (.f64 a -3)))
(+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))))))
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (/.f64 (.f64 1/2 (.f64 b b)) (sqrt.f64 (.f64 (.f64 c a) -3))))
(fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (sqrt.f64 (.f64 c (.f64 a -3))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 3))))
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (-.f64 (/.f64 (.f64 1/2 (.f64 b b)) (sqrt.f64 (.f64 (.f64 c a) -3))) (/.f64 (.f64 1/8 (pow.f64 b 4)) (pow.f64 (sqrt.f64 (.f64 (*.f64 c a) -3)) 3))))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (/.f64 (.f64 -1/8 (pow.f64 b 4)) (pow.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) 3))))
(fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 3)) -1/8 (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (sqrt.f64 (.f64 c (.f64 a -3)))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 5))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))) 3))))
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (-.f64 (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) 5)) (/.f64 (.f64 1/2 (.f64 b b)) (sqrt.f64 (.f64 (.f64 c a) -3)))) (/.f64 (.f64 1/8 (pow.f64 b 4)) (pow.f64 (sqrt.f64 (.f64 (*.f64 c a) -3)) 3))))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (+.f64 (/.f64 (.f64 1/16 (pow.f64 b 6)) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 5)) (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (/.f64 (.f64 -1/8 (pow.f64 b 4)) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 3)))))
(fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 3)) -1/8 (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 5)) (sqrt.f64 (.f64 c (.f64 a -3))))))
b
(-.f64 b (.f64 3/2 (/.f64 (.f64 c a) b)))
(-.f64 b (/.f64 (.f64 3/2 (.f64 c a)) b))
(+.f64 b (.f64 (.f64 (/.f64 c b) a) -3/2))
(fma.f64 (*.f64 (/.f64 c b) a) -3/2 b)
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (fma.f64 3/2 (/.f64 c (/.f64 b a)) (.f64 9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)))))
(-.f64 b (fma.f64 3/2 (.f64 (/.f64 c b) a) (/.f64 (.f64 (.f64 9/8 (.f64 c c)) (*.f64 a a)) (pow.f64 b 3))))
(+.f64 (fma.f64 (.f64 (/.f64 c b) a) -3/2 b) (.f64 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c)) a) -9/8))
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(-.f64 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 27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(-.f64 b (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)) (/.f64 (.f64 (.f64 9/8 (.f64 c c)) (.f64 a a)) (pow.f64 b 3)))))
(-.f64 b (fma.f64 3/2 (.f64 (/.f64 c b) a) (fma.f64 9/8 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c)) a) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -1 b)
(neg.f64 b)
(-.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) b)
(-.f64 (/.f64 (.f64 3/2 (.f64 c a)) b) b)
(-.f64 (.f64 3/2 (.f64 (/.f64 c b) a)) b)
(-.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) b)
(-.f64 (fma.f64 3/2 (/.f64 c (/.f64 b a)) (.f64 9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)))) b)
(-.f64 (fma.f64 3/2 (.f64 (/.f64 c b) a) (/.f64 (.f64 (.f64 9/8 (.f64 c c)) (*.f64 a a)) (pow.f64 b 3))) b)
(-.f64 (fma.f64 3/2 (.f64 (/.f64 c b) a) (.f64 9/8 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c)) a))) b)
(-.f64 (+.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 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) b)
(-.f64 (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 27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) b)
(-.f64 (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)) (/.f64 (.f64 (.f64 9/8 (.f64 c c)) (.f64 a a)) (pow.f64 b 3)))) b)
(-.f64 (fma.f64 3/2 (.f64 (/.f64 c b) a) (fma.f64 9/8 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c)) a) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) b)
b
(-.f64 b (.f64 3/2 (/.f64 (.f64 c a) b)))
(-.f64 b (/.f64 (.f64 3/2 (.f64 c a)) b))
(+.f64 b (.f64 (.f64 (/.f64 c b) a) -3/2))
(fma.f64 (*.f64 (/.f64 c b) a) -3/2 b)
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (fma.f64 3/2 (/.f64 c (/.f64 b a)) (.f64 9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)))))
(-.f64 b (fma.f64 3/2 (.f64 (/.f64 c b) a) (/.f64 (.f64 (.f64 9/8 (.f64 c c)) (*.f64 a a)) (pow.f64 b 3))))
(+.f64 (fma.f64 (.f64 (/.f64 c b) a) -3/2 b) (.f64 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c)) a) -9/8))
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(-.f64 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 27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(-.f64 b (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)) (/.f64 (.f64 (.f64 9/8 (.f64 c c)) (.f64 a a)) (pow.f64 b 3)))))
(-.f64 b (fma.f64 3/2 (.f64 (/.f64 c b) a) (fma.f64 9/8 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c)) a) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
b
(-.f64 b (.f64 3/2 (/.f64 (.f64 c a) b)))
(-.f64 b (/.f64 (.f64 3/2 (.f64 c a)) b))
(+.f64 b (.f64 (.f64 (/.f64 c b) a) -3/2))
(fma.f64 (*.f64 (/.f64 c b) a) -3/2 b)
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (fma.f64 3/2 (/.f64 c (/.f64 b a)) (.f64 9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)))))
(-.f64 b (fma.f64 3/2 (.f64 (/.f64 c b) a) (/.f64 (.f64 (.f64 9/8 (.f64 c c)) (*.f64 a a)) (pow.f64 b 3))))
(+.f64 (fma.f64 (.f64 (/.f64 c b) a) -3/2 b) (.f64 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c)) a) -9/8))
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(-.f64 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 27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(-.f64 b (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)) (/.f64 (.f64 (.f64 9/8 (.f64 c c)) (.f64 a a)) (pow.f64 b 3)))))
(-.f64 b (fma.f64 3/2 (.f64 (/.f64 c b) a) (fma.f64 9/8 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c)) a) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 b b (.f64 c (.f64 a -3)))
(fma.f64 c (.f64 a -3) (.f64 b b))
(.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))) a))
(.f64 1/3 (/.f64 (sqrt.f64 (.f64 (*.f64 c a) -3)) a))
(.f64 1/3 (/.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) a))
(-.f64 (.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) a)) (.f64 1/3 (/.f64 b a)))
(.f64 1/3 (-.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 c a) -3)) a) (/.f64 b a)))
(.f64 1/3 (-.f64 (/.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) a) (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) a)) (.f64 1/6 (/.f64 (pow.f64 b 2) (.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) a)))) (.f64 1/3 (/.f64 b a)))
(+.f64 (fma.f64 1/3 (/.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) a) (/.f64 (.f64 1/6 (.f64 b b)) (.f64 a (sqrt.f64 (.f64 (.f64 c a) -3))))) (.f64 -1/3 (/.f64 b a)))
(fma.f64 1/3 (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) a) (fma.f64 1/6 (/.f64 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) a) (*.f64 (/.f64 b a) -1/3)))
(fma.f64 1/6 (.f64 (/.f64 b (.f64 a (sqrt.f64 (.f64 c (.f64 a -3))))) b) (.f64 1/3 (-.f64 (/.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) a) (/.f64 b a))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) a)) (.f64 1/6 (/.f64 (pow.f64 b 2) (.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) a)))) (+.f64 (.f64 1/3 (/.f64 b a)) (.f64 1/24 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 3) a)))))
(-.f64 (fma.f64 1/3 (/.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) a) (/.f64 (.f64 1/6 (.f64 b b)) (.f64 a (sqrt.f64 (.f64 (.f64 c a) -3))))) (fma.f64 1/3 (/.f64 b a) (/.f64 (.f64 1/24 (pow.f64 b 4)) (.f64 a (pow.f64 (sqrt.f64 (.f64 (*.f64 c a) -3)) 3)))))
(+.f64 (fma.f64 1/3 (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) a) (fma.f64 1/6 (/.f64 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) a) (.f64 (/.f64 b a) -1/3))) (.f64 -1/24 (/.f64 (/.f64 (pow.f64 b 4) a) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 3))))
(fma.f64 1/3 (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) a) (fma.f64 1/6 (.f64 (/.f64 b (.f64 a (sqrt.f64 (.f64 c (.f64 a -3))))) b) (fma.f64 (/.f64 b a) -1/3 (.f64 (/.f64 (/.f64 (pow.f64 b 4) a) (pow.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) 3)) -1/24))))
(*.f64 -1/2 (/.f64 c b))
(neg.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))
(neg.f64 (fma.f64 3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (.f64 1/2 (/.f64 c b))))
(-.f64 (.f64 -1/2 (/.f64 c b)) (/.f64 (.f64 (.f64 3/8 (.f64 c c)) a) (pow.f64 b 3)))
(fma.f64 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c)) -3/8 (*.f64 -1/2 (/.f64 c b)))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b)))))
(neg.f64 (fma.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (.f64 1/2 (/.f64 c b)))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) -9/16) (fma.f64 1/2 (/.f64 c b) (/.f64 (.f64 (.f64 3/8 (.f64 c c)) a) (pow.f64 b 3))))
(fma.f64 (/.f64 a (/.f64 (pow.f64 b 5) (.f64 a (pow.f64 c 3)))) -9/16 (fma.f64 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c)) -3/8 (.f64 -1/2 (/.f64 c b))))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 135/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))))
(neg.f64 (fma.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 135/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (fma.f64 3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (.f64 1/2 (/.f64 c b))))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) -9/16) (fma.f64 135/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (fma.f64 1/2 (/.f64 c b) (/.f64 (.f64 (.f64 3/8 (.f64 c c)) a) (pow.f64 b 3)))))
(fma.f64 (/.f64 a (/.f64 (pow.f64 b 5) (.f64 a (pow.f64 c 3)))) -9/16 (-.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c)) -3/8 (.f64 -1/2 (/.f64 c b))) (.f64 (/.f64 135/128 (pow.f64 b 7)) (.f64 (pow.f64 a 3) (pow.f64 c 4)))))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(*.f64 (/.f64 b a) -2/3)
(-.f64 (.f64 1/2 (/.f64 c b)) (.f64 2/3 (/.f64 b a)))
(+.f64 (.f64 1/2 (/.f64 c b)) (/.f64 (.f64 -2/3 b) a))
(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (.f64 1/2 (/.f64 c b))) (.f64 2/3 (/.f64 b a)))
(+.f64 (fma.f64 3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (.f64 1/2 (/.f64 c b))) (/.f64 (*.f64 -2/3 b) a))
(fma.f64 3/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) (fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3)))
(fma.f64 1/2 (/.f64 c b) (fma.f64 3/8 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c)) (*.f64 (/.f64 b a) -2/3)))
(-.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (.f64 1/2 (/.f64 c b)))) (.f64 2/3 (/.f64 b a)))
(+.f64 (fma.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (.f64 1/2 (/.f64 c b)))) (/.f64 (*.f64 -2/3 b) a))
(fma.f64 9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (fma.f64 3/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) (fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))))
(fma.f64 (/.f64 b a) -2/3 (fma.f64 1/2 (/.f64 c b) (fma.f64 9/16 (/.f64 a (/.f64 (pow.f64 b 5) (.f64 a (pow.f64 c 3)))) (.f64 3/8 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c))))))
(*.f64 -1/2 (/.f64 c b))
(neg.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))
(neg.f64 (fma.f64 3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (.f64 1/2 (/.f64 c b))))
(-.f64 (.f64 -1/2 (/.f64 c b)) (/.f64 (.f64 (.f64 3/8 (.f64 c c)) a) (pow.f64 b 3)))
(fma.f64 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c)) -3/8 (*.f64 -1/2 (/.f64 c b)))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b)))))
(neg.f64 (fma.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (.f64 1/2 (/.f64 c b)))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) -9/16) (fma.f64 1/2 (/.f64 c b) (/.f64 (.f64 (.f64 3/8 (.f64 c c)) a) (pow.f64 b 3))))
(fma.f64 (/.f64 a (/.f64 (pow.f64 b 5) (.f64 a (pow.f64 c 3)))) -9/16 (fma.f64 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c)) -3/8 (.f64 -1/2 (/.f64 c b))))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 135/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))))
(neg.f64 (fma.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 135/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (fma.f64 3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (.f64 1/2 (/.f64 c b))))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) -9/16) (fma.f64 135/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (fma.f64 1/2 (/.f64 c b) (/.f64 (.f64 (.f64 3/8 (.f64 c c)) a) (pow.f64 b 3)))))
(fma.f64 (/.f64 a (/.f64 (pow.f64 b 5) (.f64 a (pow.f64 c 3)))) -9/16 (-.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c)) -3/8 (.f64 -1/2 (/.f64 c b))) (.f64 (/.f64 135/128 (pow.f64 b 7)) (.f64 (pow.f64 a 3) (pow.f64 c 4)))))
(*.f64 -1/2 (/.f64 c b))
(neg.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))
(neg.f64 (fma.f64 3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (.f64 1/2 (/.f64 c b))))
(-.f64 (.f64 -1/2 (/.f64 c b)) (/.f64 (.f64 (.f64 3/8 (.f64 c c)) a) (pow.f64 b 3)))
(fma.f64 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c)) -3/8 (*.f64 -1/2 (/.f64 c b)))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b)))))
(neg.f64 (fma.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (.f64 1/2 (/.f64 c b)))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) -9/16) (fma.f64 1/2 (/.f64 c b) (/.f64 (.f64 (.f64 3/8 (.f64 c c)) a) (pow.f64 b 3))))
(fma.f64 (/.f64 a (/.f64 (pow.f64 b 5) (.f64 a (pow.f64 c 3)))) -9/16 (fma.f64 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c)) -3/8 (.f64 -1/2 (/.f64 c b))))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 135/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))))
(neg.f64 (fma.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 135/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (fma.f64 3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (.f64 1/2 (/.f64 c b))))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) -9/16) (fma.f64 135/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (fma.f64 1/2 (/.f64 c b) (/.f64 (.f64 (.f64 3/8 (.f64 c c)) a) (pow.f64 b 3)))))
(fma.f64 (/.f64 a (/.f64 (pow.f64 b 5) (.f64 a (pow.f64 c 3)))) -9/16 (-.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c)) -3/8 (.f64 -1/2 (/.f64 c b))) (.f64 (/.f64 135/128 (pow.f64 b 7)) (.f64 (pow.f64 a 3) (pow.f64 c 4)))))
(.f64 3 (.f64 c a))
(.f64 (.f64 3 c) a)
(.f64 a (.f64 3 c))
(.f64 3 (.f64 c a))
(.f64 (.f64 3 c) a)
(.f64 a (.f64 3 c))
(.f64 3 (.f64 c a))
(.f64 (.f64 3 c) a)
(.f64 a (.f64 3 c))
(.f64 3 (.f64 c a))
(.f64 (.f64 3 c) a)
(.f64 a (.f64 3 c))
(.f64 3 (.f64 c a))
(.f64 (.f64 3 c) a)
(.f64 a (.f64 3 c))
(.f64 3 (.f64 c a))
(.f64 (.f64 3 c) a)
(.f64 a (.f64 3 c))
(.f64 3 (.f64 c a))
(.f64 (.f64 3 c) a)
(.f64 a (.f64 3 c))
(.f64 3 (.f64 c a))
(.f64 (.f64 3 c) a)
(.f64 a (.f64 3 c))
(.f64 3 (.f64 c a))
(.f64 (.f64 3 c) a)
(.f64 a (.f64 3 c))
(.f64 3 (.f64 c a))
(.f64 (.f64 3 c) a)
(.f64 a (.f64 3 c))
(.f64 3 (.f64 c a))
(.f64 (.f64 3 c) a)
(.f64 a (.f64 3 c))
(.f64 3 (.f64 c a))
(.f64 (.f64 3 c) a)
(.f64 a (.f64 3 c))
(.f64 3 (.f64 c a))
(.f64 (.f64 3 c) a)
(.f64 a (.f64 3 c))
(.f64 3 (.f64 c a))
(.f64 (.f64 3 c) a)
(.f64 a (.f64 3 c))
(.f64 3 (.f64 c a))
(.f64 (.f64 3 c) a)
(.f64 a (.f64 3 c))
(.f64 3 (.f64 c a))
(.f64 (.f64 3 c) a)
(.f64 a (.f64 3 c))
(.f64 3 (.f64 c a))
(.f64 (.f64 3 c) a)
(.f64 a (.f64 3 c))
(.f64 3 (.f64 c a))
(.f64 (.f64 3 c) a)
(.f64 a (.f64 3 c))
(.f64 3 (.f64 c a))
(.f64 (.f64 3 c) a)
(.f64 a (.f64 3 c))
(.f64 3 (.f64 c a))
(.f64 (.f64 3 c) a)
(.f64 a (.f64 3 c))
(.f64 3 (.f64 c a))
(.f64 (.f64 3 c) a)
(.f64 a (.f64 3 c))
(.f64 3 (.f64 c a))
(.f64 (.f64 3 c) a)
(.f64 a (.f64 3 c))
(.f64 3 (.f64 c a))
(.f64 (.f64 3 c) a)
(.f64 a (.f64 3 c))
(.f64 3 (.f64 c a))
(.f64 (.f64 3 c) a)
(.f64 a (.f64 3 c))

prune257.0ms (2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	176	10	186
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	177	11	188

Error

6.4b

Counts

188 → 11

Alt Table

Status	Error	Program
	46.7b	(.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))))
	40.8b	(*.f64 -1/2 (/.f64 c b))
	44.5b	(.f64 1/3 (-.f64 (/.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) a) (/.f64 b a)))
▶	32.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	45.3b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))
	60.1b	(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)
	56.0b	(.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))))
	32.5b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (/.f64 1 (.f64 a -3)))
	46.6b	(.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (/.f64 1/3 a)))
	45.4b	(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 3/2 (.f64 (/.f64 c b) a)) b)) (*.f64 3 a))
	45.2b	(/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 3 a))

Compiler

Compiled 5080 to 3156 computations (37.9% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
✓	0.3b	(/.f64 1/3 a)
✓	1.0b	(fma.f64 b b (.f64 a (.f64 c -3)))
✓	23.5b	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3))))

series152.0ms (1.2%)

Counts

4 → 76

Calls

30 calls:

Time	Variable		Point	Expression
17.0ms	a	@	inf	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
16.0ms	a	@	-inf	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
14.0ms	c	@	-inf	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
12.0ms	c	@	inf	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
8.0ms	c	@	inf	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3))))

rewrite90.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`prod-diff_binary64`
143×	`add-sqr-sqrt_binary64`
136×	`*-un-lft-identity_binary64`
136×	`pow1_binary64`
133×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	282	48
2	3654	48

Stop Event

1×	node limit

Counts

4 → 116

Calls

Call 1

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

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

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

736×	`times-frac_binary64`
446×	`associate-/l*_binary64`
389×	`associate-/r*_binary64`
282×	`fma-def_binary64`
151×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	1628
1	354	1562
2	1221	1535

Stop Event

1×	node limit

Counts

192 → 168

Calls

Call 1

Inputs
(sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))
(+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 3))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 5))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))) 3))))
b
(-.f64 b (.f64 3/2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -1 b)
(-.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) b)
(-.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) b)
(-.f64 (+.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 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) b)
b
(-.f64 b (.f64 3/2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
b
(-.f64 b (.f64 3/2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 -3 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))) a))
(-.f64 (.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) a)) (.f64 1/3 (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) a)) (.f64 1/6 (/.f64 (pow.f64 b 2) (.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) a)))) (.f64 1/3 (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) a)) (.f64 1/6 (/.f64 (pow.f64 b 2) (.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) a)))) (+.f64 (.f64 1/3 (/.f64 b a)) (.f64 1/24 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 3) a)))))
(*.f64 -1/2 (/.f64 c b))
(neg.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b)))))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 135/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))))
(*.f64 -2/3 (/.f64 b a))
(-.f64 (.f64 1/2 (/.f64 c b)) (.f64 2/3 (/.f64 b a)))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (.f64 1/2 (/.f64 c b))) (.f64 2/3 (/.f64 b a)))
(-.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (.f64 1/2 (/.f64 c b)))) (.f64 2/3 (/.f64 b a)))
(*.f64 -1/2 (/.f64 c b))
(neg.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b)))))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 135/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))))
(*.f64 -1/2 (/.f64 c b))
(neg.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b)))))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 135/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))))

Outputs
(sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))
(sqrt.f64 (.f64 (.f64 c a) -3))
(sqrt.f64 (.f64 c (.f64 a -3)))
(+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))))))
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (/.f64 (.f64 1/2 (.f64 b b)) (sqrt.f64 (.f64 (.f64 c a) -3))))
(fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (sqrt.f64 (.f64 c (.f64 a -3))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 3))))
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (-.f64 (/.f64 (.f64 1/2 (.f64 b b)) (sqrt.f64 (.f64 (.f64 c a) -3))) (/.f64 (.f64 1/8 (pow.f64 b 4)) (pow.f64 (sqrt.f64 (.f64 (*.f64 c a) -3)) 3))))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (/.f64 (.f64 -1/8 (pow.f64 b 4)) (pow.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) 3))))
(fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 3)) -1/8 (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (sqrt.f64 (.f64 c (.f64 a -3)))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 5))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))) 3))))
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (-.f64 (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) 5)) (/.f64 (.f64 1/2 (.f64 b b)) (sqrt.f64 (.f64 (.f64 c a) -3)))) (/.f64 (.f64 1/8 (pow.f64 b 4)) (pow.f64 (sqrt.f64 (.f64 (*.f64 c a) -3)) 3))))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (+.f64 (/.f64 (.f64 1/16 (pow.f64 b 6)) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 5)) (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (/.f64 (.f64 -1/8 (pow.f64 b 4)) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 3)))))
(fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 3)) -1/8 (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 5)) (sqrt.f64 (.f64 c (.f64 a -3))))))
b
(-.f64 b (.f64 3/2 (/.f64 (.f64 c a) b)))
(-.f64 b (/.f64 (.f64 3/2 (.f64 c a)) b))
(+.f64 b (.f64 (.f64 (/.f64 c b) a) -3/2))
(fma.f64 (*.f64 (/.f64 c b) a) -3/2 b)
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (fma.f64 3/2 (/.f64 c (/.f64 b a)) (.f64 9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)))))
(-.f64 b (fma.f64 3/2 (.f64 (/.f64 c b) a) (/.f64 (.f64 (.f64 9/8 (.f64 c c)) (*.f64 a a)) (pow.f64 b 3))))
(+.f64 (fma.f64 (.f64 (/.f64 c b) a) -3/2 b) (.f64 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c)) a) -9/8))
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(-.f64 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 27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(-.f64 b (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)) (/.f64 (.f64 (.f64 9/8 (.f64 c c)) (.f64 a a)) (pow.f64 b 3)))))
(-.f64 b (fma.f64 3/2 (.f64 (/.f64 c b) a) (fma.f64 9/8 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c)) a) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -1 b)
(neg.f64 b)
(-.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) b)
(-.f64 (/.f64 (.f64 3/2 (.f64 c a)) b) b)
(-.f64 (.f64 3/2 (.f64 (/.f64 c b) a)) b)
(-.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) b)
(-.f64 (fma.f64 3/2 (/.f64 c (/.f64 b a)) (.f64 9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)))) b)
(-.f64 (fma.f64 3/2 (.f64 (/.f64 c b) a) (/.f64 (.f64 (.f64 9/8 (.f64 c c)) (*.f64 a a)) (pow.f64 b 3))) b)
(-.f64 (fma.f64 3/2 (.f64 (/.f64 c b) a) (.f64 9/8 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c)) a))) b)
(-.f64 (+.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 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) b)
(-.f64 (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 27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) b)
(-.f64 (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)) (/.f64 (.f64 (.f64 9/8 (.f64 c c)) (.f64 a a)) (pow.f64 b 3)))) b)
(-.f64 (fma.f64 3/2 (.f64 (/.f64 c b) a) (fma.f64 9/8 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c)) a) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) b)
b
(-.f64 b (.f64 3/2 (/.f64 (.f64 c a) b)))
(-.f64 b (/.f64 (.f64 3/2 (.f64 c a)) b))
(+.f64 b (.f64 (.f64 (/.f64 c b) a) -3/2))
(fma.f64 (*.f64 (/.f64 c b) a) -3/2 b)
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (fma.f64 3/2 (/.f64 c (/.f64 b a)) (.f64 9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)))))
(-.f64 b (fma.f64 3/2 (.f64 (/.f64 c b) a) (/.f64 (.f64 (.f64 9/8 (.f64 c c)) (*.f64 a a)) (pow.f64 b 3))))
(+.f64 (fma.f64 (.f64 (/.f64 c b) a) -3/2 b) (.f64 (.f64 (.f64 (/.f64 a (pow.f64 b 3)) (*.f64 c c)) a) -9/8))
(-.f64 b (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(-.f64 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 27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
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(neg.f64 (fma.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 135/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (fma.f64 3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (.f64 1/2 (/.f64 c b))))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) -9/16) (fma.f64 135/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (fma.f64 1/2 (/.f64 c b) (/.f64 (.f64 (.f64 3/8 (.f64 c c)) a) (pow.f64 b 3)))))
(fma.f64 (/.f64 a (/.f64 (pow.f64 b 5) (.f64 a (pow.f64 c 3)))) -9/16 (-.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c)) -3/8 (.f64 -1/2 (/.f64 c b))) (.f64 (/.f64 135/128 (pow.f64 b 7)) (.f64 (pow.f64 a 3) (pow.f64 c 4)))))
(*.f64 -1/2 (/.f64 c b))
(neg.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))
(neg.f64 (fma.f64 3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (.f64 1/2 (/.f64 c b))))
(-.f64 (.f64 -1/2 (/.f64 c b)) (/.f64 (.f64 (.f64 3/8 (.f64 c c)) a) (pow.f64 b 3)))
(fma.f64 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c)) -3/8 (*.f64 -1/2 (/.f64 c b)))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b)))))
(neg.f64 (fma.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (.f64 1/2 (/.f64 c b)))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) -9/16) (fma.f64 1/2 (/.f64 c b) (/.f64 (.f64 (.f64 3/8 (.f64 c c)) a) (pow.f64 b 3))))
(fma.f64 (/.f64 a (/.f64 (pow.f64 b 5) (.f64 a (pow.f64 c 3)))) -9/16 (fma.f64 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c)) -3/8 (.f64 -1/2 (/.f64 c b))))
(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 135/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))))
(neg.f64 (fma.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 135/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (fma.f64 3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (.f64 1/2 (/.f64 c b))))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) -9/16) (fma.f64 135/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (fma.f64 1/2 (/.f64 c b) (/.f64 (.f64 (.f64 3/8 (.f64 c c)) a) (pow.f64 b 3)))))
(fma.f64 (/.f64 a (/.f64 (pow.f64 b 5) (.f64 a (pow.f64 c 3)))) -9/16 (-.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c)) -3/8 (.f64 -1/2 (/.f64 c b))) (.f64 (/.f64 135/128 (pow.f64 b 7)) (.f64 (pow.f64 a 3) (pow.f64 c 4)))))

prune225.0ms (1.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	162	6	168
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	166	13	179

Error

6.4b

Counts

179 → 13

Alt Table

Status	Error	Program
	46.7b	(.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))))
	40.8b	(*.f64 -1/2 (/.f64 c b))
	54.0b	(pow.f64 (pow.f64 (.f64 (/.f64 1/3 a) (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b)) 3) 1/3)
	32.5b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (/.f64 1 (.f64 a -3)))
	55.4b	(.f64 (-.f64 (fma.f64 (.f64 (/.f64 c b) a) -3/2 b) b) (/.f64 1/3 a))
▶	30.7b	(.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	45.2b	(/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 3 a))
	45.3b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))
	48.8b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2))
	44.5b	(.f64 1/3 (-.f64 (/.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) a) (/.f64 b a)))
	31.1b	(pow.f64 (cbrt.f64 (.f64 (/.f64 1/3 a) (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b))) 3)
	45.4b	(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 3/2 (.f64 (/.f64 c b) a)) b)) (*.f64 3 a))
	47.8b	(/.f64 (.f64 1/3 (-.f64 (fma.f64 b b (.f64 a (.f64 c -3))) (.f64 b b))) (.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))))))

Compiler

Compiled 4236 to 2748 computations (35.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
✓	0.2b	(.f64 a (.f64 c -3))
	0.3b	(/.f64 1/3 a)
✓	13.8b	(sqrt.f64 (.f64 a (.f64 c -3)))

series281.0ms (2.1%)

Counts

3 → 36

Calls

21 calls:

Time	Variable		Point	Expression
61.0ms	a	@	-inf	(.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
44.0ms	c	@	inf	(.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
43.0ms	c	@	-inf	(.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
41.0ms	a	@	inf	(.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
20.0ms	c	@	0	(.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))

rewrite91.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`prod-diff_binary64`
250×	`log1p-udef_binary64`
144×	`add-sqr-sqrt_binary64`
137×	`pow1_binary64`
136×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	284	37
2	3665	37

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

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

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 (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 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -3))))) (#(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)))))))))

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

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

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

878×	`fma-neg_binary64`
543×	`times-frac_binary64`
271×	`associate-/l*_binary64`
229×	`associate-/r*_binary64`
195×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	721
1	222	680
2	708	650
3	4027	647

Stop Event

1×	node limit

Counts

121 → 111

Calls

Call 1

Inputs
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 1/3 (/.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) a))
(-.f64 (.f64 1/3 (/.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a)) (.f64 1/3 (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a)) (.f64 1/6 (/.f64 (pow.f64 b 2) (.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a)))) (.f64 1/3 (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a)) (.f64 1/6 (/.f64 (pow.f64 b 2) (.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a)))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 3) a))) (.f64 1/3 (/.f64 b a))))
(.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (.f64 a b)))
(-.f64 (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (.f64 a b))) (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))))
(-.f64 (+.f64 (.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (.f64 a (pow.f64 b 5)))) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (.f64 a b)))) (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))))
(-.f64 (+.f64 (.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (.f64 a (pow.f64 b 5)))) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (.f64 a b)))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (.f64 5/384 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 8) (.f64 a (pow.f64 b 7))))))
(*.f64 -2/3 (/.f64 b a))
(neg.f64 (+.f64 (.f64 2/3 (/.f64 b a)) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (*.f64 a b)))))
(-.f64 (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (+.f64 (.f64 2/3 (/.f64 b a)) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (*.f64 a b)))))
(-.f64 (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (.f64 a (pow.f64 b 5)))) (+.f64 (.f64 2/3 (/.f64 b a)) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (*.f64 a b))))))

Outputs
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 a (.f64 -3 c))
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 a (.f64 -3 c))
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 a (.f64 -3 c))
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 a (.f64 -3 c))
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 a (.f64 -3 c))
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 a (.f64 -3 c))
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 a (.f64 -3 c))
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 a (.f64 -3 c))
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 a (.f64 -3 c))
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 a (.f64 -3 c))
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 a (.f64 -3 c))
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 a (.f64 -3 c))
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 a (.f64 -3 c))
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 a (.f64 -3 c))
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 a (.f64 -3 c))
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 a (.f64 -3 c))
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 a (.f64 -3 c))
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 a (.f64 -3 c))
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 a (.f64 -3 c))
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 a (.f64 -3 c))
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 a (.f64 -3 c))
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 a (.f64 -3 c))
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 a (.f64 -3 c))
(.f64 -3 (.f64 c a))
(.f64 (.f64 -3 c) a)
(.f64 a (.f64 -3 c))
(.f64 1/3 (/.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) a))
(.f64 1/3 (/.f64 (sqrt.f64 (.f64 (*.f64 -3 c) a)) a))
(.f64 1/3 (/.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) a))
(-.f64 (.f64 1/3 (/.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a)) (.f64 1/3 (/.f64 b a)))
(.f64 1/3 (-.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 -3 c) a)) a) (/.f64 b a)))
(.f64 1/3 (-.f64 (/.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) a) (/.f64 b a)))
(.f64 1/3 (-.f64 (/.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) a) (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a)) (.f64 1/6 (/.f64 (pow.f64 b 2) (.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a)))) (.f64 1/3 (/.f64 b a)))
(+.f64 (fma.f64 1/3 (/.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) a) (/.f64 (.f64 1/6 (.f64 b b)) (.f64 a (sqrt.f64 (.f64 (.f64 -3 c) a))))) (.f64 -1/3 (/.f64 b a)))
(fma.f64 1/3 (/.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a) (fma.f64 1/6 (/.f64 (/.f64 (.f64 b b) a) (sqrt.f64 (.f64 -3 (.f64 c a)))) (.f64 (/.f64 b a) -1/3)))
(fma.f64 1/6 (.f64 (/.f64 b a) (/.f64 b (sqrt.f64 (.f64 a (.f64 -3 c))))) (.f64 1/3 (-.f64 (/.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) a) (/.f64 b a))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a)) (.f64 1/6 (/.f64 (pow.f64 b 2) (.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a)))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 3) a))) (.f64 1/3 (/.f64 b a))))
(-.f64 (fma.f64 1/3 (/.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) a) (/.f64 (.f64 1/6 (.f64 b b)) (.f64 a (sqrt.f64 (.f64 (.f64 -3 c) a))))) (fma.f64 1/24 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 3))) (*.f64 1/3 (/.f64 b a))))
(-.f64 (fma.f64 1/3 (/.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a) (fma.f64 1/6 (/.f64 (/.f64 (.f64 b b) a) (sqrt.f64 (.f64 -3 (.f64 c a)))) (.f64 (/.f64 b a) -1/3))) (.f64 1/24 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 3)))))
(fma.f64 1/6 (.f64 (/.f64 b a) (/.f64 b (sqrt.f64 (.f64 a (.f64 -3 c))))) (fma.f64 1/3 (/.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) a) (fma.f64 (/.f64 b a) -1/3 (/.f64 (.f64 -1/24 (/.f64 (pow.f64 b 4) a)) (pow.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) 3)))))
(fma.f64 1/6 (.f64 (/.f64 b a) (/.f64 b (sqrt.f64 (.f64 a (.f64 -3 c))))) (fma.f64 1/3 (-.f64 (/.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) a) (/.f64 b a)) (/.f64 (.f64 -1/24 (/.f64 (pow.f64 b 4) a)) (pow.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) 3))))
(.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (.f64 a b)))
(.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 2) (.f64 a b)))
(.f64 1/6 (/.f64 (.f64 -3 (.f64 c a)) (.f64 a b)))
(/.f64 (.f64 (.f64 c a) -1/2) (*.f64 a b))
(-.f64 (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (.f64 a b))) (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 2) (.f64 a b))) (.f64 -1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 4) (.f64 a (pow.f64 b 3)))))
(fma.f64 1/6 (/.f64 (.f64 -3 (.f64 c a)) (.f64 a b)) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (*.f64 a (pow.f64 b 3))) -1/24))
(fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) 4) (.f64 a (pow.f64 b 3))) -1/24 (/.f64 (.f64 (.f64 c a) -1/2) (.f64 a b)))
(-.f64 (+.f64 (.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (.f64 a (pow.f64 b 5)))) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (.f64 a b)))) (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))))
(+.f64 (fma.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 6) (.f64 a (pow.f64 b 5))) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 2) (.f64 a b)))) (.f64 -1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 4) (*.f64 a (pow.f64 b 3)))))
(fma.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (.f64 a (pow.f64 b 5))) (fma.f64 1/6 (/.f64 (.f64 -3 (.f64 c a)) (.f64 a b)) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))) -1/24)))
(fma.f64 1/48 (/.f64 (pow.f64 (.f64 a (.f64 -3 c)) 3) (.f64 a (pow.f64 b 5))) (fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) 4) (.f64 a (pow.f64 b 3))) -1/24 (/.f64 (.f64 (.f64 c a) -1/2) (*.f64 a b))))
(-.f64 (+.f64 (.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (.f64 a (pow.f64 b 5)))) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (.f64 a b)))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (.f64 5/384 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 8) (.f64 a (pow.f64 b 7))))))
(-.f64 (fma.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 6) (.f64 a (pow.f64 b 5))) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 2) (.f64 a b)))) (fma.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 4) (.f64 a (pow.f64 b 3))) (/.f64 (.f64 5/384 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 8)) (.f64 a (pow.f64 b 7)))))
(-.f64 (fma.f64 1/6 (/.f64 (.f64 -3 (.f64 c a)) (.f64 a b)) (.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (.f64 a (pow.f64 b 5))))) (fma.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))) (.f64 5/384 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 8) (.f64 a (pow.f64 b 7))))))
(+.f64 (fma.f64 1/48 (/.f64 (pow.f64 (.f64 a (.f64 -3 c)) 3) (.f64 a (pow.f64 b 5))) (/.f64 (.f64 (.f64 c a) -1/2) (.f64 a b))) (fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) 4) (.f64 a (pow.f64 b 3))) -1/24 (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) 8) (*.f64 a (pow.f64 b 7))) -5/384)))
(+.f64 (fma.f64 1/48 (/.f64 (pow.f64 (.f64 a (.f64 -3 c)) 3) (.f64 a (pow.f64 b 5))) (/.f64 (.f64 (.f64 c a) -1/2) (.f64 a b))) (fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) 4) (.f64 a (pow.f64 b 3))) -1/24 (.f64 (/.f64 (pow.f64 (.f64 a (.f64 -3 c)) 4) (*.f64 a (pow.f64 b 7))) -5/384)))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 b a) -2/3)
(*.f64 (/.f64 -2/3 a) b)
(neg.f64 (+.f64 (.f64 2/3 (/.f64 b a)) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (*.f64 a b)))))
(neg.f64 (fma.f64 2/3 (/.f64 b a) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 2) (.f64 a b)))))
(+.f64 (.f64 (/.f64 b a) -2/3) (.f64 (/.f64 (.f64 -3 (.f64 c a)) (*.f64 a b)) -1/6))
(-.f64 (.f64 (/.f64 -2/3 a) b) (/.f64 (.f64 (.f64 c a) -1/2) (.f64 a b)))
(-.f64 (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (+.f64 (.f64 2/3 (/.f64 b a)) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (*.f64 a b)))))
(-.f64 (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 4) (.f64 a (pow.f64 b 3)))) (fma.f64 2/3 (/.f64 b a) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 2) (.f64 a b)))))
(-.f64 (.f64 (/.f64 1/24 a) (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3))) (fma.f64 (/.f64 b a) 2/3 (.f64 1/6 (/.f64 (.f64 -3 (.f64 c a)) (*.f64 a b)))))
(-.f64 (/.f64 (.f64 (/.f64 1/24 (pow.f64 b 3)) (pow.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) 4)) a) (fma.f64 (/.f64 b a) 2/3 (/.f64 (.f64 (.f64 c a) -1/2) (.f64 a b))))
(-.f64 (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (.f64 a (pow.f64 b 5)))) (+.f64 (.f64 2/3 (/.f64 b a)) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (*.f64 a b))))))
(-.f64 (.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 4) (.f64 a (pow.f64 b 3)))) (fma.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 6) (.f64 a (pow.f64 b 5))) (fma.f64 2/3 (/.f64 b a) (.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 2) (*.f64 a b))))))
(-.f64 (.f64 (/.f64 1/24 a) (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3))) (fma.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (.f64 a (pow.f64 b 5))) (fma.f64 (/.f64 b a) 2/3 (.f64 1/6 (/.f64 (.f64 -3 (.f64 c a)) (.f64 a b))))))
(-.f64 (/.f64 (.f64 (/.f64 1/24 (pow.f64 b 3)) (pow.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) 4)) a) (fma.f64 (/.f64 b a) 2/3 (fma.f64 1/48 (/.f64 (pow.f64 (.f64 a (.f64 -3 c)) 3) (.f64 a (pow.f64 b 5))) (/.f64 (.f64 (.f64 c a) -1/2) (*.f64 a b)))))
(fma.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) 4) (.f64 a (pow.f64 b 3))) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 a (.f64 -3 c)) 3) (.f64 a (pow.f64 b 5))) -1/48) (fma.f64 (/.f64 b a) 2/3 (/.f64 (.f64 (.f64 c a) -1/2) (.f64 a b)))))

prune190.0ms (1.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	3	9	12
Picked	0	1	1
Done	0	0	0
Total	134	12	146

Error

2.7b

Counts

146 → 12

Alt Table

Status	Error	Program
	46.7b	(.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))))
	40.8b	(*.f64 -1/2 (/.f64 c b))
	45.5b	(/.f64 (.f64 (.f64 c a) -1/2) (*.f64 a b))
	44.5b	(.f64 1/3 (-.f64 (/.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) a) (/.f64 b a)))
▶	32.5b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (/.f64 1 (.f64 a -3)))
	55.4b	(.f64 (-.f64 (fma.f64 (.f64 (/.f64 c b) a) -3/2 b) b) (/.f64 1/3 a))
✓	30.7b	(.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	45.2b	(/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 3 a))
	45.3b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))
	48.8b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2))
	46.1b	(.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -3)) (sqrt.f64 a))) b) (/.f64 1/3 a))
	47.8b	(/.f64 (.f64 1/3 (-.f64 (fma.f64 b b (.f64 a (.f64 c -3))) (.f64 b b))) (.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))))))

Compiler

Compiled 3286 to 2067 computations (37.1% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 c (.f64 a -3))
✓	0.3b	(/.f64 1 (*.f64 a -3))
✓	1.0b	(fma.f64 b b (.f64 c (.f64 a -3)))
✓	23.5b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))

series77.0ms (0.6%)

Counts

4 → 92

Calls

27 calls:

Time	Variable		Point	Expression
8.0ms	c	@	-inf	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))
8.0ms	c	@	inf	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))
8.0ms	a	@	-inf	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))
7.0ms	a	@	inf	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))
4.0ms	a	@	0	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

494×	`log-prod_binary64`
186×	`pow1/3_binary64`
185×	`expm1-udef_binary64`
185×	`log1p-udef_binary64`
172×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	221	34
2	2558	34

Stop Event

1×	node limit

Counts

4 → 110

Calls

Call 1

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

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

simplify85.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

733×	`cancel-sign-sub-inv_binary64`
403×	`times-frac_binary64`
311×	`fma-neg_binary64`
298×	`unswap-sqr_binary64`
229×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	1171
1	194	1113
2	614	1101
3	3576	1101

Stop Event

1×	node limit

Counts

202 → 140

Calls

Call 1

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

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

prune205.0ms (1.6%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	139	13	152

Error

2.7b

Counts

152 → 13

Alt Table

Status	Error	Program
	46.7b	(.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))))
	40.8b	(*.f64 -1/2 (/.f64 c b))
	45.5b	(/.f64 (.f64 (.f64 c a) -1/2) (*.f64 a b))
	44.5b	(.f64 1/3 (-.f64 (/.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) a) (/.f64 b a)))
✓	32.5b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (/.f64 1 (.f64 a -3)))
	55.4b	(.f64 (-.f64 (fma.f64 (.f64 (/.f64 c b) a) -3/2 b) b) (/.f64 1/3 a))
✓	30.7b	(.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	45.2b	(/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 3 a))
	45.3b	(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))
	32.8b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 a -3)) 2)) (cbrt.f64 (/.f64 -1/3 a))))
	48.8b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2))
	46.1b	(.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -3)) (sqrt.f64 a))) b) (/.f64 1/3 a))
	47.8b	(/.f64 (.f64 1/3 (-.f64 (fma.f64 b b (.f64 a (.f64 c -3))) (.f64 b b))) (.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))))))

Compiler

Compiled 3465 to 2311 computations (33.3% saved)

regimes5.0s (38.3%)

Accuracy

Total 8.3b remaining (75.3%)

Threshold costs 0b (0%)

Counts

147 → 3

Compiler

Compiled 15807 to 11282 computations (28.6% saved)

bsearch64.0ms (0.5%)

Algorithm

2×	binary-search

Calls

2 calls:

46.0ms	b
17.0ms	b

Steps

Iters	Point		Range
35000.0	∈ [	34415.942152002724	,	126455475.74209543	]
-1.28e+67	∈ [	-1.2907756868093972e+67	,	-5.2912398787310046e+66	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`unsub-neg_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	67
1	42	63
2	47	63
3	48	63

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b -12799999999999999898756944164305132905312783576861498286792742273024) (/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 3/2 (*.f64 (/.f64 c b) a)) b)) (*.f64 3 a)) (if (<=.f64 b 35000) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)))) (*.f64 3 a)) (*.f64 -1/2 (/.f64 c b))))

Outputs

(if (<=.f64 b -12799999999999999898756944164305132905312783576861498286792742273024) (/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 3/2 (*.f64 (/.f64 c b) a)) b)) (*.f64 3 a)) (if (<=.f64 b 35000) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)))) (*.f64 3 a)) (*.f64 -1/2 (/.f64 c b))))

(if (<=.f64 b -12799999999999999898756944164305132905312783576861498286792742273024) (/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 3/2 (*.f64 (/.f64 c b) a)) b)) (*.f64 a 3)) (if (<=.f64 b 35000) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)))) (*.f64 a 3)) (*.f64 (/.f64 c b) -1/2)))

(if (<=.f64 b -12799999999999999898756944164305132905312783576861498286792742273024) (/.f64 (-.f64 (-.f64 (*.f64 3/2 (*.f64 (/.f64 c b) a)) b) b) (*.f64 a 3)) (if (<=.f64 b 35000) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b))) b) (*.f64 a 3)) (*.f64 (/.f64 c b) -1/2)))

end171.0ms (1.3%)

Stop Event

1×

fuel

Compiler

Compiled 345 to 234 computations (32.2% saved)

Details

analyze1.6s (12.5%)

sample3.9s (29.3%)

preprocess55.0ms (0.4%)

simplify44.0ms (0.3%)

prune6.0ms (0%)

localize17.0ms (0.1%)

series164.0ms (1.2%)

rewrite91.0ms (0.7%)

simplify73.0ms (0.6%)

prune257.0ms (2%)

localize17.0ms (0.1%)

series152.0ms (1.2%)

rewrite90.0ms (0.7%)

simplify60.0ms (0.5%)

prune225.0ms (1.7%)

localize16.0ms (0.1%)

series281.0ms (2.1%)

rewrite91.0ms (0.7%)

simplify70.0ms (0.5%)

prune190.0ms (1.4%)

localize19.0ms (0.1%)

series77.0ms (0.6%)

rewrite80.0ms (0.6%)

simplify85.0ms (0.6%)

prune205.0ms (1.6%)

regimes5.0s (38.3%)

bsearch64.0ms (0.5%)

simplify4.0ms (0%)

end171.0ms (1.3%)

Profiling