Details

analyze1.1s (13.9%)

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)

sample2.5s (31.7%)

Results

758.0ms	5323×	body	128	valid
673.0ms	1179×	body	2048	valid
393.0ms	822×	body	1024	valid
277.0ms	398×	body	4096	valid
161.0ms	1104×	body	128	invalid
145.0ms	383×	body	512	valid
39.0ms	151×	body	256	valid

Compiler

Compiled 42 to 30 computations (28.6% saved)

preprocess44.0ms (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)

simplify35.0ms (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))

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

31.7b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	31.8b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	31.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))

Compiler

Compiled 111 to 75 computations (32.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 3 a) c)
✓	0.3b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
✓	1.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
✓	20.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series31.0ms (0.4%)

Counts

4 → 100

Calls

33 calls:

Time	Variable		Point	Expression
6.0ms	a	@	0	(.f64 (.f64 3 a) c)
2.0ms	c	@	inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
2.0ms	a	@	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)))

rewrite64.0ms (0.8%)

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 (.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 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 expm1.f64 (log1p.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 log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b b) (.f64 (.f64 c (.f64 a -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b b) (+.f64 (.f64 c (.f64 a -3)) (fma.f64 (.f64 a -3) c (.f64 3 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 (.f64 a -3) c (.f64 3 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 (neg.f64 (.f64 a c)) 3 (.f64 3 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 (.f64 c (.f64 a -3)) 1 (.f64 3 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 3 (.f64 a c)))) (cbrt.f64 (pow.f64 (.f64 3 (.f64 a c)) 2)) (.f64 3 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 (fma.f64 (.f64 a -3) c (.f64 3 (.f64 a c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (+.f64 (fma.f64 (.f64 a -3) c (.f64 3 (.f64 a c))) (fma.f64 (.f64 a -3) c (.f64 3 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 a -3) c (.f64 3 (.f64 a c))) (fma.f64 b b (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 c (.f64 a -3)) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 b b (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) (.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 b 6) (.f64 27 (pow.f64 (.f64 a c) 3))) (/.f64 1 (+.f64 (pow.f64 b 4) (.f64 (.f64 3 (.f64 a c)) (fma.f64 b b (.f64 3 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 3 (.f64 a c)) 2)) (/.f64 1 (fma.f64 b b (.f64 3 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4)) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 b (sqrt.f64 (.f64 3 (.f64 a c)))) (-.f64 b (sqrt.f64 (.f64 3 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 3 (.f64 a c)) (fma.f64 b b (.f64 3 (.f64 a c))))) (-.f64 (pow.f64 b 6) (.f64 27 (pow.f64 (.f64 a c) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b b (.f64 3 (.f64 a c))) (-.f64 (pow.f64 b 4) (pow.f64 (.f64 3 (.f64 a c)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b 6) (.f64 27 (pow.f64 (.f64 a c) 3))) (+.f64 (pow.f64 b 4) (.f64 (.f64 3 (.f64 a c)) (fma.f64 b b (.f64 3 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 3 (.f64 a c)) 2)) (fma.f64 b b (.f64 3 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 b 6) (.f64 27 (pow.f64 (.f64 a c) 3)))) (neg.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 3 (.f64 a c)) (fma.f64 b b (.f64 3 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 3 (.f64 a c)) 2))) (neg.f64 (fma.f64 b b (.f64 3 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 6) (pow.f64 (.f64 c (.f64 a -3)) 3)) (+.f64 (pow.f64 b 4) (-.f64 (.f64 (.f64 c (.f64 a -3)) (.f64 c (.f64 a -3))) (.f64 (.f64 b b) (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3) (pow.f64 (fma.f64 (.f64 a -3) c (.f64 3 (.f64 a c))) 3)) (+.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 2) (-.f64 (.f64 (fma.f64 (.f64 a -3) c (.f64 3 (.f64 a c))) (fma.f64 (.f64 a -3) c (.f64 3 (.f64 a c)))) (.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 (.f64 a -3) c (.f64 3 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -3)) (.f64 c (.f64 a -3)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 2) (.f64 (fma.f64 (.f64 a -3) c (.f64 3 (.f64 a c))) (fma.f64 (.f64 a -3) c (.f64 3 (.f64 a c))))) (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 (.f64 a -3) c (.f64 3 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 3)))) (#(struct:change #<rule egg-rr> (2) 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#<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 expm1.f64 (log1p.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 #<rule egg-rr> (2) ((x fma.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))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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) b)))) (#(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 -.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 expm1.f64 (log1p.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 log1p.f64 (expm1.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	4842	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))))))
(.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)))
(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 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 (sqrt.f64 (.f64 (.f64 c a) -3)) (-.f64 (/.f64 (.f64 1/2 (.f64 b b)) (sqrt.f64 (.f64 (.f64 c a) -3))) (/.f64 (.f64 1/8 (pow.f64 b 4)) (pow.f64 (sqrt.f64 (.f64 (*.f64 c a) -3)) 3))))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -3))) (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (.f64 (/.f64 (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 (sqrt.f64 (.f64 c (.f64 a -3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -3))) 5))) (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (.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) (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 (.f64 c c) (pow.f64 b 3)) (*.f64 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 (.f64 c c) (pow.f64 b 3)) (.f64 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)
(-.f64 (*.f64 3/2 (/.f64 c (/.f64 b a))) b)
(-.f64 (.f64 3/2 (.f64 (/.f64 c b) a)) b)
(-.f64 (.f64 3/2 (.f64 a (/.f64 c b))) b)
(-.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) b)
(-.f64 (fma.f64 3/2 (/.f64 c (/.f64 b a)) (.f64 9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)))) b)
(-.f64 (fma.f64 3/2 (.f64 (/.f64 c b) a) (.f64 9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) b)
(-.f64 (.f64 9/8 (/.f64 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 (.f64 c c) (pow.f64 b 3)) (.f64 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 (.f64 c c) (pow.f64 b 3)) (*.f64 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 (.f64 c c) (pow.f64 b 3)) (.f64 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 (.f64 c c) (pow.f64 b 3)) (*.f64 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 (.f64 c c) (pow.f64 b 3)) (.f64 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 -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))
(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 (.f64 c c) (pow.f64 b 3)) (.f64 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 (.f64 c c) (pow.f64 b 3)) (.f64 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 (.f64 c c) (pow.f64 b 3)) (.f64 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 b -2 (.f64 3/2 (.f64 a (/.f64 c 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 (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 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (*.f64 b -2)))
(fma.f64 b -2 (fma.f64 3/2 (.f64 a (/.f64 c b)) (.f64 9/8 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))))))
(-.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 (.f64 c c) (pow.f64 b 3)) (.f64 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 27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 9/8 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) (*.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 (.f64 c c) (pow.f64 b 3)) (.f64 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 (.f64 c c) (pow.f64 b 3)) (.f64 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 (.f64 c c) (pow.f64 b 3)) (.f64 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 (.f64 c c) (pow.f64 b 3)) (.f64 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 (.f64 c c) (pow.f64 b 3)) (.f64 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 (.f64 c c) (pow.f64 b 3)) (.f64 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 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))

prune171.0ms (2.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	193	10	203
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	194	11	205

Error

8.9b

Counts

205 → 11

Alt Table

Status	Error	Program
	48.2b	(/.f64 (exp.f64 (log.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))) (*.f64 3 a))
	46.3b	(/.f64 (fma.f64 b -2 (.f64 3/2 (.f64 a (/.f64 c b)))) (*.f64 3 a))
▶	31.8b	(/.f64 (fma.f64 -1 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (*.f64 3 a))
	44.0b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a))
	33.3b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2)) (*.f64 3 a))
	54.9b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 3 a))
	46.1b	(/.f64 (.f64 -2 b) (.f64 3 a))
	48.7b	(/.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))
	41.5b	(/.f64 (.f64 (.f64 a (/.f64 c b)) -3/2) (*.f64 3 a))
	43.7b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
	31.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))

Compiler

Compiled 5585 to 3365 computations (39.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 c (.f64 a -3))
✓	0.3b	(fma.f64 -1 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))
✓	1.5b	(fma.f64 b b (.f64 c (.f64 a -3)))
✓	20.2b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))

series13.0ms (0.2%)

Counts

4 → 100

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(fma.f64 -1 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))
1.0ms	b	@	0	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))
1.0ms	c	@	0	(fma.f64 -1 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))
1.0ms	c	@	inf	(fma.f64 -1 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))
1.0ms	a	@	inf	(fma.f64 -1 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))

rewrite52.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

900×	`log1p-expm1-u_binary64`
900×	`expm1-log1p-u_binary64`
106×	`add-sqr-sqrt_binary64`
102×	`*-un-lft-identity_binary64`
102×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	216	46
2	2439	46

Stop Event

1×	node limit

Counts

4 → 90

Calls

Call 1

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

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	4842	1726

Stop Event

1×	node limit

Counts

190 → 141

Calls

Call 1

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

prune117.0ms (1.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	138	3	141
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	139	13	152

Error

8.9b

Counts

152 → 13

Alt Table

Status	Error	Program
	33.6b	(/.f64 (exp.f64 (log.f64 (fma.f64 -1 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
	33.3b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2)) (*.f64 3 a))
	48.2b	(/.f64 (exp.f64 (log.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))) (*.f64 3 a))
	46.3b	(/.f64 (fma.f64 b -2 (.f64 3/2 (.f64 a (/.f64 c b)))) (*.f64 3 a))
	45.9b	(/.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 b) 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2)) (+.f64 (.f64 (neg.f64 b) (neg.f64 b)) (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 (neg.f64 b) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))) (*.f64 3 a))
	48.7b	(/.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))
	31.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
▶	31.8b	(/.f64 (fma.f64 -1 b (sqrt.f64 (fma.f64 b b (pow.f64 (.f64 c (.f64 a -3)) 1)))) (*.f64 3 a))
	54.9b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 3 a))
	46.1b	(/.f64 (.f64 -2 b) (.f64 3 a))
	41.5b	(/.f64 (.f64 (.f64 a (/.f64 c b)) -3/2) (*.f64 3 a))
	43.7b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
	44.0b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a))

Compiler

Compiled 3793 to 2517 computations (33.6% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 c (.f64 a -3))
✓	0.3b	(fma.f64 -1 b (sqrt.f64 (fma.f64 b b (pow.f64 (.f64 c (.f64 a -3)) 1))))
✓	1.5b	(fma.f64 b b (pow.f64 (.f64 c (.f64 a -3)) 1))
✓	20.2b	(sqrt.f64 (fma.f64 b b (pow.f64 (.f64 c (.f64 a -3)) 1)))

series9.0ms (0.1%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(sqrt.f64 (fma.f64 b b (pow.f64 (.f64 c (.f64 a -3)) 1)))
0.0ms	c	@	inf	(sqrt.f64 (fma.f64 b b (pow.f64 (.f64 c (.f64 a -3)) 1)))
0.0ms	a	@	inf	(sqrt.f64 (fma.f64 b b (pow.f64 (.f64 c (.f64 a -3)) 1)))
0.0ms	c	@	-inf	(sqrt.f64 (fma.f64 b b (pow.f64 (.f64 c (.f64 a -3)) 1)))
0.0ms	a	@	-inf	(sqrt.f64 (fma.f64 b b (pow.f64 (.f64 c (.f64 a -3)) 1)))

rewrite51.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

499×	`log-prod_binary64`
239×	`prod-diff_binary64`
192×	`expm1-udef_binary64`
192×	`log1p-udef_binary64`
180×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	240	39
2	2566	39

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

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

Outputs

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

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

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

simplify59.0ms (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	1652
1	275	1584
2	884	1558
3	4842	1558

Stop Event

1×	node limit

Counts

167 → 142

Calls

Call 1

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

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

prune130.0ms (1.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	157	13	170

Error

8.9b

Counts

170 → 13

Alt Table

Status	Error	Program
	33.6b	(/.f64 (exp.f64 (log.f64 (fma.f64 -1 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
	33.3b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2)) (*.f64 3 a))
	48.2b	(/.f64 (exp.f64 (log.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))) (*.f64 3 a))
	46.3b	(/.f64 (fma.f64 b -2 (.f64 3/2 (.f64 a (/.f64 c b)))) (*.f64 3 a))
	45.9b	(/.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 b) 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2)) (+.f64 (.f64 (neg.f64 b) (neg.f64 b)) (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 (neg.f64 b) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))) (*.f64 3 a))
	48.7b	(/.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))
▶	31.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
✓	31.8b	(/.f64 (fma.f64 -1 b (sqrt.f64 (fma.f64 b b (pow.f64 (.f64 c (.f64 a -3)) 1)))) (*.f64 3 a))
	54.9b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 3 a))
	46.1b	(/.f64 (.f64 -2 b) (.f64 3 a))
	41.5b	(/.f64 (.f64 (.f64 a (/.f64 c b)) -3/2) (*.f64 3 a))
	43.7b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
	44.0b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a))

Compiler

Compiled 4206 to 2812 computations (33.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)
✓	0.4b	(/.f64 1/3 a)
✓	1.5b	(fma.f64 b b (.f64 a (.f64 c -3)))
✓	20.2b	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3))))

series12.0ms (0.2%)

Counts

4 → 76

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	c	@	inf	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)
1.0ms	c	@	-inf	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)
0.0ms	b	@	0	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3))))
0.0ms	a	@	0	(/.f64 1/3 a)
0.0ms	a	@	inf	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)

rewrite64.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	260	42
2	3284	42

Stop Event

1×	node limit

Counts

4 → 138

Calls

Call 1

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

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

simplify66.0ms (0.9%)

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	1652
1	275	1584
2	884	1558
3	4842	1558

Stop Event

1×	node limit

Counts

214 → 189

Calls

Call 1

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

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

prune155.0ms (2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	181	8	189
Fresh	5	6	11
Picked	1	0	1
Done	0	1	1
Total	187	15	202

Error

8.8b

Counts

202 → 15

Alt Table

Status	Error	Program
	49.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2))
	33.6b	(/.f64 (exp.f64 (log.f64 (fma.f64 -1 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
	51.1b	(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -3))) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -3))) 1/4) (sqrt.f64 b))) (/.f64 1/3 a))
	33.3b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2)) (*.f64 3 a))
	53.7b	(.f64 (+.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -3)))) b) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/3 a))
	41.5b	(/.f64 (.f64 (.f64 a (/.f64 c b)) -3/2) (*.f64 3 a))
	44.0b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a))
	54.9b	(*.f64 (-.f64 b b) (/.f64 1/3 a))
	45.2b	(.f64 (/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -3))))) (-.f64 (fma.f64 b b (.f64 a (.f64 c -3))) (.f64 b b)))) (/.f64 1/3 a))
✓	31.8b	(/.f64 (fma.f64 -1 b (sqrt.f64 (fma.f64 b b (pow.f64 (.f64 c (.f64 a -3)) 1)))) (*.f64 3 a))
	46.4b	(.f64 (fma.f64 b -2 (.f64 3/2 (*.f64 a (/.f64 c b)))) (/.f64 1/3 a))
	41.5b	(.f64 (.f64 (*.f64 a (/.f64 c b)) -3/2) (/.f64 1/3 a))
	31.8b	(.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -3) (*.f64 b b))) b) (/.f64 1/3 a))
	46.1b	(/.f64 (.f64 -2 b) (.f64 3 a))
	43.7b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))

Compiler

Compiled 4821 to 3053 computations (36.7% saved)

regimes2.7s (34.5%)

Accuracy

Total 4.6b remaining (33.1%)

Threshold costs 0b (0%)

Counts

193 → 3

Compiler

Compiled 3747 to 2353 computations (37.2% saved)

bsearch95.0ms (1.2%)

Algorithm

2×	binary-search

Calls

2 calls:

58.0ms	b
35.0ms	b

Steps

Iters	Point		Range
6e-23	∈ [	1.7563087589550333e-23	,	2.878641832839878e-19	]
-5.2e+42	∈ [	-5.270565843305562e+42	,	-6.892056312154672e+31	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	61
1	34	61

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b -5199999999999999800126692176111671070162944) (/.f64 (*.f64 -2 b) (*.f64 3 a)) (if (<=.f64 b 5104235503814077/85070591730234615865843651857942052864) (/.f64 (fma.f64 -1 b (sqrt.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)))) (*.f64 3 a)) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) -3/2) (*.f64 3 a))))

Outputs

(if (<=.f64 b -5199999999999999800126692176111671070162944) (/.f64 (*.f64 -2 b) (*.f64 3 a)) (if (<=.f64 b 5104235503814077/85070591730234615865843651857942052864) (/.f64 (fma.f64 -1 b (sqrt.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)))) (*.f64 3 a)) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) -3/2) (*.f64 3 a))))

(if (<=.f64 b -5199999999999999800126692176111671070162944) (/.f64 (*.f64 b -2) (*.f64 3 a)) (if (<=.f64 b 5104235503814077/85070591730234615865843651857942052864) (/.f64 (fma.f64 -1 b (sqrt.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)))) (*.f64 3 a)) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) -3/2) (*.f64 3 a))))

end195.0ms (2.5%)

Stop Event

1×

fuel

Compiler

Compiled 393 to 270 computations (31.3% saved)

Details

analyze1.1s (13.9%)

sample2.5s (31.7%)

preprocess44.0ms (0.6%)

simplify35.0ms (0.4%)

prune3.0ms (0%)

localize10.0ms (0.1%)

series31.0ms (0.4%)

rewrite64.0ms (0.8%)

simplify63.0ms (0.8%)

prune171.0ms (2.2%)

localize10.0ms (0.1%)

series13.0ms (0.2%)

rewrite52.0ms (0.7%)

simplify63.0ms (0.8%)

prune117.0ms (1.5%)

localize14.0ms (0.2%)

series9.0ms (0.1%)

rewrite51.0ms (0.7%)

simplify59.0ms (0.8%)

prune130.0ms (1.7%)

localize10.0ms (0.1%)

series12.0ms (0.2%)

rewrite64.0ms (0.8%)

simplify66.0ms (0.9%)

prune155.0ms (2%)

regimes2.7s (34.5%)

bsearch95.0ms (1.2%)

simplify2.0ms (0%)

end195.0ms (2.5%)

Profiling