Details

analyze924.0ms (12.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	93.6%	6.4%	7
6.2%	87.4%	6.4%	8
10.1%	81.1%	8.7%	9
15.6%	71%	13.4%	10
22%	63%	15%	11
29.1%	52.9%	18.1%	12
33.8%	45.6%	20.5%	13
38.8%	38.9%	22.3%	14

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.2s (30.2%)

Results

720.0ms	5410×	body	128	valid
601.0ms	1135×	body	2048	valid
316.0ms	749×	body	1024	valid
245.0ms	383×	body	4096	valid
147.0ms	367×	body	512	valid
131.0ms	1088×	body	128	invalid
71.0ms	212×	body	256	valid

Compiler

Compiled 42 to 30 computations (28.6% saved)

preprocess48.0ms (0.6%)

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)

simplify32.0ms (0.4%)

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))

prune8.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

35.5b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	35.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	35.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))

Compiler

Compiled 111 to 75 computations (32.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 3 a) c)
✓	0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
✓	1.6b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
✓	24.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series24.0ms (0.3%)

Counts

4 → 100

Calls

33 calls:

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

rewrite68.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

357×	`fma-neg_binary64`
224×	`expm1-udef_binary64`
224×	`log1p-udef_binary64`
142×	`add-sqr-sqrt_binary64`
136×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 151

Calls

Call 1

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

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

simplify63.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

458×	`times-frac_binary64`
278×	`associate-r_binary64`
278×	`associate-/l*_binary64`
254×	`associate-/r*_binary64`
241×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	1820
1	275	1752
2	884	1726
3	4841	1726

Stop Event

1×	node limit

Counts

251 → 203

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))))))
(sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))
(-.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) b)
(-.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))))))) b)
(-.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 b (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 3)))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(neg.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)))))
(neg.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))))))
(neg.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 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(*.f64 -2 b)
(-.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(-.f64 (+.f64 (.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 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))))) (*.f64 2 b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(neg.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)))))
(neg.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))))))
(neg.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 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(neg.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)))))
(neg.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))))))
(neg.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 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(.f64 -3 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))

Outputs
(sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))
(sqrt.f64 (.f64 (.f64 c a) -3))
(sqrt.f64 (.f64 c (.f64 a -3)))
(+.f64 (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))))
(fma.f64 1/2 (.f64 (/.f64 b (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 (+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (/.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 (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 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 (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 (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 5)))) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (.f64 1/8 (/.f64 (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 (/.f64 b (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 c (/.f64 b a)) -3/2))
(+.f64 b (.f64 (.f64 (/.f64 c b) a) -3/2))
(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 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)))))
(+.f64 b (fma.f64 (.f64 a (/.f64 c b)) -3/2 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -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 9/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) (/.f64 (.f64 (.f64 27/16 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (fma.f64 (.f64 a (/.f64 c b)) -3/2 b) (fma.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -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 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)))) b)
(-.f64 (.f64 9/8 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c))))) (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 (*.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 9/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) (/.f64 (.f64 (.f64 27/16 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5)))) b)
(-.f64 (fma.f64 9/8 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) (.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 (/.f64 c (/.f64 b a)) -3/2))
(+.f64 b (.f64 (.f64 (/.f64 c b) a) -3/2))
(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 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)))))
(+.f64 b (fma.f64 (.f64 a (/.f64 c b)) -3/2 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -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 9/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) (/.f64 (.f64 (.f64 27/16 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (fma.f64 (.f64 a (/.f64 c b)) -3/2 b) (fma.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -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 (/.f64 c (/.f64 b a)) -3/2))
(+.f64 b (.f64 (.f64 (/.f64 c b) a) -3/2))
(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 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)))))
(+.f64 b (fma.f64 (.f64 a (/.f64 c b)) -3/2 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -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 9/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) (/.f64 (.f64 (.f64 27/16 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (fma.f64 (.f64 a (/.f64 c b)) -3/2 b) (fma.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -9/8 (.f64 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -27/16)))
(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)))) b)
(-.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) b)
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.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))))))) b)
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (-.f64 (/.f64 (.f64 1/2 (.f64 b b)) (sqrt.f64 (.f64 (.f64 c a) -3))) b))
(-.f64 (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (sqrt.f64 (.f64 c (.f64 a -3)))) b)
(-.f64 (fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b) (sqrt.f64 (.f64 c (*.f64 a -3)))) b)
(-.f64 (+.f64 (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 b (.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 b (/.f64 (.f64 1/8 (pow.f64 b 4)) (pow.f64 (sqrt.f64 (.f64 (*.f64 c a) -3)) 3)))))
(-.f64 (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (sqrt.f64 (.f64 c (.f64 a -3)))) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 3)) b))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b) (sqrt.f64 (.f64 c (.f64 a -3)))) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) 3)) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 a (/.f64 c b)) -3/2)
(neg.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)))))
(neg.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)))))
(+.f64 (.f64 (.f64 (/.f64 c b) a) -3/2) (.f64 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) -9/8))
(fma.f64 (.f64 a (/.f64 c b)) -3/2 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -9/8))
(neg.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))))))
(neg.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))))))
(-.f64 (.f64 (.f64 (/.f64 c b) a) -3/2) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) (/.f64 (.f64 (*.f64 27/16 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5))))
(fma.f64 (.f64 a (/.f64 c b)) -3/2 (fma.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -9/8 (.f64 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -27/16)))
(neg.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 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(neg.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)) (fma.f64 405/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 4))) (.f64 27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(-.f64 (.f64 (.f64 (/.f64 c b) a) -3/2) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) (fma.f64 405/128 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4)) (/.f64 (.f64 (.f64 27/16 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5)))))
(-.f64 (fma.f64 (.f64 a (/.f64 c b)) -3/2 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -9/8)) (fma.f64 27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 405/128 (*.f64 (pow.f64 a 4) (/.f64 (pow.f64 c 4) (pow.f64 b 7))))))
(*.f64 -2 b)
(*.f64 b -2)
(-.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (neg.f64 (*.f64 b 2)))
(fma.f64 3/2 (.f64 (/.f64 c b) a) (.f64 b -2))
(fma.f64 3/2 (.f64 a (/.f64 c b)) (.f64 b -2))
(-.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)))) (*.f64 2 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)))) (*.f64 b -2))
(fma.f64 3/2 (.f64 (/.f64 c b) a) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) (*.f64 b -2)))
(fma.f64 3/2 (.f64 a (/.f64 c b)) (fma.f64 9/8 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) (.f64 b -2)))
(-.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))))) (*.f64 2 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))))) (.f64 b -2))
(+.f64 (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) (/.f64 (.f64 (.f64 27/16 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5))) (fma.f64 3/2 (.f64 (/.f64 c b) a) (*.f64 b -2)))
(fma.f64 3/2 (.f64 a (/.f64 c b)) (fma.f64 9/8 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) (fma.f64 27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 b -2))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 a (/.f64 c b)) -3/2)
(neg.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)))))
(neg.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)))))
(+.f64 (.f64 (.f64 (/.f64 c b) a) -3/2) (.f64 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) -9/8))
(fma.f64 (.f64 a (/.f64 c b)) -3/2 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -9/8))
(neg.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))))))
(neg.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))))))
(-.f64 (.f64 (.f64 (/.f64 c b) a) -3/2) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) (/.f64 (.f64 (*.f64 27/16 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5))))
(fma.f64 (.f64 a (/.f64 c b)) -3/2 (fma.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -9/8 (.f64 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -27/16)))
(neg.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 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(neg.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)) (fma.f64 405/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 4))) (.f64 27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(-.f64 (.f64 (.f64 (/.f64 c b) a) -3/2) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) (fma.f64 405/128 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4)) (/.f64 (.f64 (.f64 27/16 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5)))))
(-.f64 (fma.f64 (.f64 a (/.f64 c b)) -3/2 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -9/8)) (fma.f64 27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 405/128 (*.f64 (pow.f64 a 4) (/.f64 (pow.f64 c 4) (pow.f64 b 7))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 a (/.f64 c b)) -3/2)
(neg.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)))))
(neg.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)))))
(+.f64 (.f64 (.f64 (/.f64 c b) a) -3/2) (.f64 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) -9/8))
(fma.f64 (.f64 a (/.f64 c b)) -3/2 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -9/8))
(neg.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))))))
(neg.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))))))
(-.f64 (.f64 (.f64 (/.f64 c b) a) -3/2) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) (/.f64 (.f64 (*.f64 27/16 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5))))
(fma.f64 (.f64 a (/.f64 c b)) -3/2 (fma.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -9/8 (.f64 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -27/16)))
(neg.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 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(neg.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)) (fma.f64 405/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 4))) (.f64 27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(-.f64 (.f64 (.f64 (/.f64 c b) a) -3/2) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) (fma.f64 405/128 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4)) (/.f64 (.f64 (.f64 27/16 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5)))))
(-.f64 (fma.f64 (.f64 a (/.f64 c b)) -3/2 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -9/8)) (fma.f64 27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 405/128 (*.f64 (pow.f64 a 4) (/.f64 (pow.f64 c 4) (pow.f64 b 7))))))
(.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 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))

prune150.0ms (2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	194	9	203
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	195	10	205

Error

7.2b

Counts

205 → 10

Alt Table

Status	Error	Program
▶	35.6b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (*.f64 3 a))
	52.5b	(/.f64 (neg.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))))) (*.f64 3 a))
	35.8b	(/.f64 (+.f64 (neg.f64 b) (.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))))))) (.f64 3 a))
	57.7b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 3 a))
	43.5b	(/.f64 (fma.f64 3/2 (.f64 a (/.f64 c b)) (.f64 b -2)) (*.f64 3 a))
	43.4b	(/.f64 (.f64 -2 b) (.f64 3 a))
	48.6b	(/.f64 (fma.f64 (.f64 a (/.f64 c b)) -3/2 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -9/8)) (*.f64 3 a))
	42.8b	(/.f64 (.f64 (.f64 a (/.f64 c b)) -3/2) (*.f64 3 a))
	41.5b	(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2))) (*.f64 3 a))
	35.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))

Compiler

Compiled 5569 to 3359 computations (39.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 c (.f64 a -3))
✓	1.0b	(fma.f64 b b (.f64 c (.f64 a -3)))
✓	1.6b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)
✓	24.1b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))

series15.0ms (0.2%)

Counts

4 → 100

Calls

33 calls:

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

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

728×	`prod-diff_binary64`
298×	`fma-def_binary64`
190×	`expm1-udef_binary64`
190×	`log1p-udef_binary64`
173×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	47
1	212	45
2	2712	45

Stop Event

1×	node limit

Counts

4 → 151

Calls

Call 1

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

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

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

458×	`times-frac_binary64`
278×	`associate-r_binary64`
278×	`associate-/l*_binary64`
254×	`associate-/r*_binary64`
241×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	1820
1	275	1752
2	884	1726
3	4841	1726

Stop Event

1×	node limit

Counts

251 → 202

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))))))
(sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))
(-.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) b)
(-.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))))))) b)
(-.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 b (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 3 (.f64 c a)))) 3)))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(neg.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)))))
(neg.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))))))
(neg.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 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(*.f64 -2 b)
(-.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(-.f64 (+.f64 (.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 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))))) (*.f64 2 b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(neg.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)))))
(neg.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))))))
(neg.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 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(neg.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)))))
(neg.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))))))
(neg.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 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(.f64 -3 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))

Outputs
(sqrt.f64 (neg.f64 (.f64 3 (.f64 c a))))
(sqrt.f64 (.f64 (.f64 c a) -3))
(sqrt.f64 (.f64 c (.f64 a -3)))
(+.f64 (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))))
(fma.f64 1/2 (.f64 (/.f64 b (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 (+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (/.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 (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 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 (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 (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 5)))) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (.f64 1/8 (/.f64 (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 (/.f64 b (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 c (/.f64 b a)) -3/2))
(+.f64 b (.f64 (.f64 (/.f64 c b) a) -3/2))
(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 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)))))
(+.f64 b (fma.f64 (.f64 a (/.f64 c b)) -3/2 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -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 9/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) (/.f64 (.f64 (.f64 27/16 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (fma.f64 (.f64 a (/.f64 c b)) -3/2 b) (fma.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -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 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)))) b)
(-.f64 (.f64 9/8 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c))))) (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 (*.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 9/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) (/.f64 (.f64 (.f64 27/16 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5)))) b)
(-.f64 (fma.f64 9/8 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) (.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 (/.f64 c (/.f64 b a)) -3/2))
(+.f64 b (.f64 (.f64 (/.f64 c b) a) -3/2))
(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 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)))))
(+.f64 b (fma.f64 (.f64 a (/.f64 c b)) -3/2 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -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 9/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) (/.f64 (.f64 (.f64 27/16 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (fma.f64 (.f64 a (/.f64 c b)) -3/2 b) (fma.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -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 (/.f64 c (/.f64 b a)) -3/2))
(+.f64 b (.f64 (.f64 (/.f64 c b) a) -3/2))
(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 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)))))
(+.f64 b (fma.f64 (.f64 a (/.f64 c b)) -3/2 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -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 9/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) (/.f64 (.f64 (.f64 27/16 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (fma.f64 (.f64 a (/.f64 c b)) -3/2 b) (fma.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -9/8 (.f64 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -27/16)))
(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)))) b)
(-.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) b)
(-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)
(-.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))))))) b)
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -3)) (-.f64 (/.f64 (.f64 1/2 (.f64 b b)) (sqrt.f64 (.f64 (.f64 c a) -3))) b))
(-.f64 (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (sqrt.f64 (.f64 c (.f64 a -3)))) b)
(-.f64 (fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b) (sqrt.f64 (.f64 c (*.f64 a -3)))) b)
(-.f64 (+.f64 (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 b (.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 b (/.f64 (.f64 1/8 (pow.f64 b 4)) (pow.f64 (sqrt.f64 (.f64 (*.f64 c a) -3)) 3)))))
(-.f64 (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (sqrt.f64 (.f64 c (.f64 a -3)))) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 3)) b))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b) (sqrt.f64 (.f64 c (.f64 a -3)))) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) 3)) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 a (/.f64 c b)) -3/2)
(neg.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)))))
(neg.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)))))
(+.f64 (.f64 (.f64 (/.f64 c b) a) -3/2) (.f64 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) -9/8))
(fma.f64 (.f64 a (/.f64 c b)) -3/2 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -9/8))
(neg.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))))))
(neg.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))))))
(-.f64 (.f64 (.f64 (/.f64 c b) a) -3/2) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) (/.f64 (.f64 (*.f64 27/16 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5))))
(fma.f64 (.f64 a (/.f64 c b)) -3/2 (fma.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -9/8 (.f64 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -27/16)))
(neg.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 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(neg.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)) (fma.f64 405/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 4))) (.f64 27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(-.f64 (.f64 (.f64 (/.f64 c b) a) -3/2) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) (fma.f64 405/128 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4)) (/.f64 (.f64 (.f64 27/16 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5)))))
(-.f64 (fma.f64 (.f64 a (/.f64 c b)) -3/2 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -9/8)) (fma.f64 27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 405/128 (*.f64 (pow.f64 a 4) (/.f64 (pow.f64 c 4) (pow.f64 b 7))))))
(*.f64 -2 b)
(*.f64 b -2)
(-.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (neg.f64 (*.f64 b 2)))
(fma.f64 3/2 (.f64 (/.f64 c b) a) (.f64 b -2))
(fma.f64 3/2 (.f64 a (/.f64 c b)) (.f64 b -2))
(-.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)))) (*.f64 2 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)))) (*.f64 b -2))
(fma.f64 3/2 (.f64 (/.f64 c b) a) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) (*.f64 b -2)))
(fma.f64 3/2 (.f64 a (/.f64 c b)) (fma.f64 9/8 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) (.f64 b -2)))
(-.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))))) (*.f64 2 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))))) (.f64 b -2))
(+.f64 (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) (/.f64 (.f64 (.f64 27/16 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5))) (fma.f64 3/2 (.f64 (/.f64 c b) a) (*.f64 b -2)))
(fma.f64 3/2 (.f64 a (/.f64 c b)) (fma.f64 9/8 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) (fma.f64 27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 b -2))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 a (/.f64 c b)) -3/2)
(neg.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)))))
(neg.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)))))
(+.f64 (.f64 (.f64 (/.f64 c b) a) -3/2) (.f64 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) -9/8))
(fma.f64 (.f64 a (/.f64 c b)) -3/2 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -9/8))
(neg.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))))))
(neg.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))))))
(-.f64 (.f64 (.f64 (/.f64 c b) a) -3/2) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) (/.f64 (.f64 (*.f64 27/16 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5))))
(fma.f64 (.f64 a (/.f64 c b)) -3/2 (fma.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -9/8 (.f64 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -27/16)))
(neg.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 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(neg.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)) (fma.f64 405/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 4))) (.f64 27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(-.f64 (.f64 (.f64 (/.f64 c b) a) -3/2) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) (fma.f64 405/128 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4)) (/.f64 (.f64 (.f64 27/16 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5)))))
(-.f64 (fma.f64 (.f64 a (/.f64 c b)) -3/2 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -9/8)) (fma.f64 27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 405/128 (*.f64 (pow.f64 a 4) (/.f64 (pow.f64 c 4) (pow.f64 b 7))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) -3/2)
(.f64 (.f64 (/.f64 c b) a) -3/2)
(.f64 (.f64 a (/.f64 c b)) -3/2)
(neg.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)))))
(neg.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)))))
(+.f64 (.f64 (.f64 (/.f64 c b) a) -3/2) (.f64 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) -9/8))
(fma.f64 (.f64 a (/.f64 c b)) -3/2 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -9/8))
(neg.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))))))
(neg.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))))))
(-.f64 (.f64 (.f64 (/.f64 c b) a) -3/2) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) (/.f64 (.f64 (*.f64 27/16 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5))))
(fma.f64 (.f64 a (/.f64 c b)) -3/2 (fma.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -9/8 (.f64 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -27/16)))
(neg.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 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(neg.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)) (fma.f64 405/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 4))) (.f64 27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(-.f64 (.f64 (.f64 (/.f64 c b) a) -3/2) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) a)) (fma.f64 405/128 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4)) (/.f64 (.f64 (.f64 27/16 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5)))))
(-.f64 (fma.f64 (.f64 a (/.f64 c b)) -3/2 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -9/8)) (fma.f64 27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 405/128 (*.f64 (pow.f64 a 4) (/.f64 (pow.f64 c 4) (pow.f64 b 7))))))
(.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 -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))

prune143.0ms (1.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	199	3	202
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	200	12	212

Error

7.2b

Counts

212 → 12

Alt Table

Status	Error	Program
	43.4b	(/.f64 (.f64 -2 b) (.f64 3 a))
	57.7b	(/.f64 (-.f64 b b) (*.f64 3 a))
✓	35.6b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (*.f64 3 a))
	52.5b	(/.f64 (neg.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))))) (*.f64 3 a))
	43.5b	(/.f64 (fma.f64 3/2 (.f64 a (/.f64 c b)) (.f64 b -2)) (*.f64 3 a))
	48.6b	(/.f64 (fma.f64 (.f64 a (/.f64 c b)) -3/2 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -9/8)) (*.f64 3 a))
	42.8b	(/.f64 (.f64 (.f64 a (/.f64 c b)) -3/2) (*.f64 3 a))
▶	34.3b	(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b))) (*.f64 3 a))
	41.5b	(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2))) (*.f64 3 a))
	35.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	35.9b	(/.f64 (-.f64 (pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 3) b) (*.f64 3 a))
	35.8b	(/.f64 (+.f64 (neg.f64 b) (.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))))))) (.f64 3 a))

Compiler

Compiled 5307 to 3297 computations (37.9% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 c (.f64 a -3))
✓	0.4b	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)
✓	3.0b	(exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)))
✓	12.7b	(sqrt.f64 (.f64 c (.f64 a -3)))

series39.0ms (0.5%)

Counts

3 → 24

Calls

24 calls:

Time	Variable		Point	Expression
10.0ms	a	@	0	(exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)))
4.0ms	c	@	-inf	(exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)))
4.0ms	c	@	inf	(exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)))
4.0ms	a	@	-inf	(exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)))
3.0ms	a	@	inf	(exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)))

rewrite70.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 190

Calls

Call 1

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

Outputs

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

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

simplify38.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

599×	`fma-def_binary64`
590×	`cancel-sign-sub-inv_binary64`
462×	`fma-neg_binary64`
304×	`distribute-neg-frac_binary64`
253×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	902
1	174	812
2	507	758
3	2567	750

Stop Event

1×	node limit

Counts

214 → 135

Calls

Call 1

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

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

prune108.0ms (1.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	146	4	150
Fresh	3	7	10
Picked	0	1	1
Done	1	0	1
Total	150	12	162

Error

4.0b

Counts

162 → 12

Alt Table

Status	Error	Program
	43.4b	(/.f64 (.f64 -2 b) (.f64 3 a))
	57.7b	(/.f64 (-.f64 b b) (*.f64 3 a))
✓	34.3b	(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b))) (*.f64 3 a))
	35.7b	(/.f64 (fma.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))) (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))) (neg.f64 b)) (*.f64 3 a))
	43.5b	(/.f64 (fma.f64 3/2 (.f64 a (/.f64 c b)) (.f64 b -2)) (*.f64 3 a))
	52.5b	(/.f64 (neg.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))))) (*.f64 3 a))
	42.8b	(/.f64 (.f64 (.f64 a (/.f64 c b)) -3/2) (*.f64 3 a))
▶	32.2b	(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) b) (*.f64 3 a))
	35.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	45.1b	(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (.f64 a -3)) (sqrt.f64 c))) b))) (*.f64 3 a))
	35.9b	(/.f64 (-.f64 (pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 3) b) (*.f64 3 a))
	44.3b	(/.f64 (/.f64 (.f64 (.f64 c a) -3/2) b) (*.f64 3 a))

Compiler

Compiled 4104 to 2514 computations (38.7% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) b) (*.f64 3 a))
✓	0.2b	(.f64 -3 (.f64 c a))
✓	0.4b	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) b)
✓	12.7b	(sqrt.f64 (.f64 -3 (.f64 c a)))

series31.0ms (0.4%)

Counts

4 → 24

Calls

30 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) b) (*.f64 3 a))
4.0ms	a	@	inf	(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) b) (*.f64 3 a))
4.0ms	c	@	inf	(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) b) (*.f64 3 a))
3.0ms	c	@	-inf	(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) b) (*.f64 3 a))
2.0ms	b	@	0	(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) b) (*.f64 3 a))

rewrite200.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

921×	`prod-diff_binary64`
366×	`egg-rr`
145×	`add-sqr-sqrt_binary64`
140×	`pow1_binary64`
139×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	284	52
2	3857	52

Stop Event

1×	node limit

Counts

4 → 456

Calls

Call 1

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

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

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

720×	`times-frac_binary64`
383×	`associate-/l*_binary64`
336×	`associate-/r*_binary64`
278×	`associate-r_binary64`
251×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	1004
1	328	918
2	1072	861

Stop Event

1×	node limit

Counts

480 → 504

Calls

Call 1

Inputs
(sqrt.f64 (.f64 -3 (.f64 c a)))
(-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)
(-.f64 (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -3 (*.f64 c a)))))) b)
(-.f64 (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -3 (.f64 c a)))))) (+.f64 b (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 3)))))
(.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 2) b))
(-.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (pow.f64 b 5)))) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 4) (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (pow.f64 b 5)))) (+.f64 (.f64 5/128 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 8) (pow.f64 b 7))) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3)))))
(*.f64 -2 b)
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (.f64 2 b)))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (*.f64 2 b)))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (+.f64 (.f64 2 b) (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (pow.f64 b 5))))))
(.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
(sqrt.f64 (.f64 -3 (.f64 c a)))
(sqrt.f64 (.f64 (.f64 -3 c) a))
(-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b)
(-.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) b)
(-.f64 (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -3 (*.f64 c a)))))) b)
(+.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) (-.f64 (/.f64 (.f64 1/2 (.f64 b b)) (sqrt.f64 (.f64 (.f64 -3 c) a))) b))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (sqrt.f64 (.f64 -3 (*.f64 c a)))) b)
(fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) b) (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b))
(-.f64 (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -3 (.f64 c a)))))) (+.f64 b (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 3)))))
(-.f64 (+.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) (/.f64 (.f64 1/2 (.f64 b b)) (sqrt.f64 (.f64 (.f64 -3 c) a)))) (+.f64 b (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 (*.f64 -3 c) a)) 3)))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (sqrt.f64 (.f64 -3 (.f64 c a)))) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 3)) b))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 -3 (.f64 c a)))) b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 3)) b))
(.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 2) b))
(.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 (*.f64 -3 c) a)) 2) b))
(.f64 1/2 (/.f64 (.f64 -3 (*.f64 c a)) b))
(/.f64 (.f64 (.f64 c a) -3/2) b)
(-.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 2) b)) (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 4) (pow.f64 b 3))))
(fma.f64 1/2 (/.f64 (.f64 -3 (.f64 c a)) b) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 4) (pow.f64 b 3)) -1/8))
(fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3)) -1/8 (/.f64 (.f64 (.f64 c a) -3/2) b))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (pow.f64 b 5)))) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 4) (pow.f64 b 3))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 2) b) (/.f64 (.f64 1/16 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 6)) (pow.f64 b 5))) (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 4) (pow.f64 b 3))))
(fma.f64 1/2 (/.f64 (.f64 -3 (.f64 c a)) b) (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 4) (pow.f64 b 3)) -1/8)))
(fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3)) -1/8 (fma.f64 1/16 (/.f64 (pow.f64 (.f64 -3 (.f64 c a)) 3) (pow.f64 b 5)) (/.f64 (.f64 (.f64 c a) -3/2) b)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (pow.f64 b 5)))) (+.f64 (.f64 5/128 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 8) (pow.f64 b 7))) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3)))))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 2) b) (/.f64 (.f64 1/16 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 6)) (pow.f64 b 5))) (fma.f64 5/128 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 8) (pow.f64 b 7)) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 4) (pow.f64 b 3)))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 -3 (.f64 c a)) b) (/.f64 1/16 (/.f64 (pow.f64 b 5) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6)))) (fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3)) (.f64 5/128 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 8) (pow.f64 b 7)))))
(+.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3)) -1/8 (fma.f64 1/16 (/.f64 (pow.f64 (.f64 -3 (.f64 c a)) 3) (pow.f64 b 5)) (/.f64 (.f64 (.f64 c a) -3/2) b))) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 8) (pow.f64 b 7)) -5/128))
(*.f64 -2 b)
(*.f64 b -2)
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (.f64 2 b)))
(neg.f64 (fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 2) b) (*.f64 b 2)))
(-.f64 (.f64 b -2) (.f64 1/2 (/.f64 (.f64 -3 (.f64 c a)) b)))
(-.f64 (.f64 b -2) (/.f64 (.f64 (*.f64 c a) -3/2) b))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (*.f64 2 b)))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 4) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 2) b) (.f64 b 2)))
(+.f64 (fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3)) (.f64 (/.f64 (.f64 -3 (.f64 c a)) b) -1/2)) (.f64 b -2))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3))) (fma.f64 b 2 (/.f64 (.f64 (*.f64 c a) -3/2) b)))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) b)) (+.f64 (.f64 2 b) (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 6) (pow.f64 b 5))))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 4) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 2) b) (fma.f64 2 b (/.f64 (.f64 1/16 (pow.f64 (sqrt.f64 (.f64 (.f64 -3 c) a)) 6)) (pow.f64 b 5)))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (.f64 -3 (.f64 c a)) b) (fma.f64 b 2 (/.f64 1/16 (/.f64 (pow.f64 b 5) (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 6))))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3))) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 -3 (.f64 c a)) 3) (pow.f64 b 5)) (fma.f64 b 2 (/.f64 (.f64 (*.f64 c a) -3/2) b))))
(.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 (/.f64 1/3 a) (sqrt.f64 (.f64 -3 (*.f64 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 (+.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 b a) (/.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))) (/.f64 (.f64 -1/3 b) a)))
(fma.f64 1/6 (/.f64 (/.f64 (.f64 b b) a) (sqrt.f64 (.f64 -3 (.f64 c a)))) (.f64 1/3 (-.f64 (/.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 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 (*.f64 1/3 b) a)))
(-.f64 (fma.f64 1/3 (/.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) a) (.f64 1/6 (.f64 (/.f64 b a) (/.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))))) (fma.f64 1/3 (/.f64 b a) (.f64 1/24 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 3))))))
(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)))) (fma.f64 (/.f64 b a) -1/3 (.f64 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) 3))) -1/24))))
(.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 -3 (.f64 c a))) 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 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))) -1/24 (fma.f64 (/.f64 1/48 (pow.f64 b 5)) (/.f64 (pow.f64 (.f64 -3 (.f64 c a)) 3) a) (/.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 5/384 (/.f64 (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 (/.f64 1/48 (pow.f64 b 5)) (/.f64 (pow.f64 (.f64 -3 (.f64 c a)) 3) a) (/.f64 (.f64 (.f64 c a) -1/2) (.f64 a b))) (fma.f64 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))) (.f64 (/.f64 5/384 (.f64 a (pow.f64 b 7))) (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 8))))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(*.f64 (/.f64 b a) -2/3)
(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 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 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 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (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 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3)) (/.f64 1/24 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 1/24 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 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 (/.f64 b a) 2/3 (.f64 1/6 (/.f64 (.f64 -3 (.f64 c a)) (*.f64 a b))))))
(-.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (pow.f64 b 3)) (/.f64 1/24 a)) (fma.f64 (/.f64 b a) 2/3 (fma.f64 (/.f64 1/48 (pow.f64 b 5)) (/.f64 (pow.f64 (.f64 -3 (.f64 c a)) 3) a) (/.f64 (.f64 (.f64 c a) -1/2) (.f64 a b)))))

prune465.0ms (6.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	496	8	504
Fresh	5	5	10
Picked	1	0	1
Done	1	0	1
Total	503	13	516

Error

1.2b

Counts

516 → 13

Alt Table

Status	Error	Program
	43.5b	(/.f64 (fma.f64 3/2 (.f64 a (/.f64 c b)) (.f64 b -2)) (*.f64 3 a))
	35.5b	(+.f64 (fma.f64 (/.f64 1 a) (/.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -3 c)))) 3) (neg.f64 (.f64 (/.f64 1/3 a) b))) (fma.f64 (neg.f64 (/.f64 1/3 a)) b (.f64 (/.f64 1/3 a) b)))
	54.9b	(.f64 1/6 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 2) (.f64 a b)))
	42.8b	(/.f64 (.f64 (.f64 a (/.f64 c b)) -3/2) (*.f64 3 a))
	32.3b	(.f64 1/3 (/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 -3 c)))) b) a))
	56.5b	(fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))) -1/24 (fma.f64 (/.f64 1/48 (pow.f64 b 5)) (/.f64 (pow.f64 (.f64 -3 (.f64 c a)) 3) a) (/.f64 (.f64 (.f64 c a) -1/2) (.f64 a b))))
	44.3b	(/.f64 (/.f64 (.f64 (.f64 c a) -3/2) b) (*.f64 3 a))
	45.9b	(/.f64 (.f64 (.f64 c a) -1/2) (*.f64 a b))
	35.7b	(/.f64 (fma.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))) (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 -3 (.f64 c a))))) (neg.f64 b)) (*.f64 3 a))
	47.6b	(/.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (.f64 -3 c)) (sqrt.f64 a))) b) (*.f64 3 a))
	32.3b	(.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 -3 c)))) b) (/.f64 1/3 a))
	45.1b	(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (.f64 a -3)) (sqrt.f64 c))) b))) (*.f64 3 a))
	43.4b	(*.f64 -2/3 (/.f64 b a))

Compiler

Compiled 23844 to 15087 computations (36.7% saved)

regimes2.3s (30.9%)

Accuracy

Total 10.4b remaining (82.1%)

Threshold costs 0b (0%)

Counts

120 → 3

Compiler

Compiled 2410 to 1521 computations (36.9% saved)

bsearch71.0ms (1%)

Algorithm

2×	binary-search

Calls

2 calls:

41.0ms	b
28.0ms	b

Steps

Iters	Point		Range
8.5e-87	∈ [	8.7468426915874e-90	,	8.69570712673793e-87	]
-9e+148	∈ [	-7.658699911855324e+156	,	-5.891345877016106e+148	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	60
1	36	60
2	41	60
3	43	60
4	44	60

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b -89999999999999998729477858204118019744908181192731525349230683343442797774262446955766399246333605755512592120058068965127608913725117563800129634304) (/.f64 (*.f64 -2 b) (*.f64 3 a)) (if (<=.f64 b 2379728788563917/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3)))) b) (*.f64 3 a)) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) -3/2) (*.f64 3 a))))

Outputs

(if (<=.f64 b -89999999999999998729477858204118019744908181192731525349230683343442797774262446955766399246333605755512592120058068965127608913725117563800129634304) (/.f64 (*.f64 -2 b) (*.f64 3 a)) (if (<=.f64 b 2379728788563917/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3)))) b) (*.f64 3 a)) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) -3/2) (*.f64 3 a))))

(if (<=.f64 b -89999999999999998729477858204118019744908181192731525349230683343442797774262446955766399246333605755512592120058068965127608913725117563800129634304) (/.f64 (*.f64 b -2) (*.f64 3 a)) (if (<=.f64 b 2379728788563917/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3)))) b) (*.f64 3 a)) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) -3/2) (*.f64 3 a))))

end173.0ms (2.3%)

Stop Event

1×

fuel

Compiler

Compiled 348 to 244 computations (29.9% saved)

Details

analyze924.0ms (12.4%)

sample2.2s (30.2%)

preprocess48.0ms (0.6%)

simplify32.0ms (0.4%)

prune8.0ms (0.1%)

localize9.0ms (0.1%)

series24.0ms (0.3%)

rewrite68.0ms (0.9%)

simplify63.0ms (0.8%)

prune150.0ms (2%)

localize9.0ms (0.1%)

series15.0ms (0.2%)

rewrite63.0ms (0.8%)

simplify61.0ms (0.8%)

prune143.0ms (1.9%)

localize11.0ms (0.1%)

series39.0ms (0.5%)

rewrite70.0ms (0.9%)

simplify38.0ms (0.5%)

prune108.0ms (1.4%)

localize8.0ms (0.1%)

series31.0ms (0.4%)

rewrite200.0ms (2.7%)

simplify57.0ms (0.8%)

prune465.0ms (6.3%)

regimes2.3s (30.9%)

bsearch71.0ms (1%)

simplify3.0ms (0%)

end173.0ms (2.3%)

Profiling