Details

analyze404.0ms (1.9%)

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.8s (13.1%)

Results

981.0ms	5553×	body	256	valid
690.0ms	1180×	body	2048	valid
361.0ms	409×	body	4096	valid
332.0ms	740×	body	1024	valid
280.0ms	1647×	body	256	invalid
93.0ms	374×	body	512	valid

preprocess96.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

795×	`fma-def_binary64`
730×	`div-sub_binary64`
558×	`associate-/r*_binary64`
366×	`sub-neg_binary64`
359×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	104
1	92	88
2	213	88
3	442	88
4	752	88
5	1245	88
6	2215	88
7	4456	88
8	7294	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 a (.f64 c -3) (.f64 b b))) b) (*.f64 3 a))
(.f64 -1/3 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b)))) a))
(.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) a) -1/3)
(.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 a a (.f64 b (.f64 c -3)))) a) (*.f64 b 3))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 c -3) (.f64 a a))) a) (*.f64 b 3))
(.f64 -1/3 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 b (.f64 c -3) (*.f64 a a)))) b))
(.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 a (.f64 c -3) (.f64 b b))) b) (*.f64 3 c))
(.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) c) -1/3)
(.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 (-.f64 c (sqrt.f64 (fma.f64 a (.f64 b -3) (*.f64 c c)))) a) -1/3)
(.f64 (-.f64 c (sqrt.f64 (fma.f64 b (.f64 a -3) (*.f64 c c)))) (/.f64 -1/3 a))

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify127.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1220×	`fma-neg_binary64`
827×	`fma-def_binary64`
741×	`div-sub_binary64`
403×	`associate-/l/_binary64`
347×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	30	22
2	69	22
3	160	22
4	262	22
5	431	22
6	741	22
7	1339	22
8	2834	22
9	4740	22
10	6245	22
11	6866	22
12	7042	22
13	7147	22
14	7630	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 c (.f64 a -3)))) 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 b b (.f64 a (.f64 c -3)))) b) (*.f64 3 a))
(.f64 -1/3 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) a))
(.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) a) -1/3)
(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) (/.f64 -1/3 a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))

eval1.0ms (0%)

Compiler: Compiled 35 to 23 computations (34.3% saved)

prune2.0ms (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

36.4b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
▶	36.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1/3 a)
✓	0.5b	(fma.f64 b b (.f64 c (.f64 a -3)))
✓	0.8b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)
✓	26.3b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))

Compiler

Compiled 62 to 36 computations (41.9% saved)

series26.0ms (0.1%)

Counts

4 → 76

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))
2.0ms	a	@	0	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)
2.0ms	a	@	0	(/.f64 1/3 a)
1.0ms	a	@	inf	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))
1.0ms	c	@	inf	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))

rewrite107.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`prod-diff_binary64`
597×	`log-prod_binary64`
332×	`pow2_binary64`
304×	`fma-def_binary64`
231×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	260	42
2	3291	42

Stop Event

1×	node limit

Counts

4 → 187

Calls

Call 1

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

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

simplify90.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

712×	`times-frac_binary64`
664×	`associate-r_binary64`
626×	`associate-l_binary64`
588×	`fma-def_binary64`
437×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	1747
1	396	1679
2	1360	1631
3	7814	1631

Stop Event

1×	node limit

Counts

263 → 240

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -3 (sqrt.f64 -3)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) 1/24)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -3 (sqrt.f64 -3)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5))) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) 1/24))))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(fma.f64 -3/2 (/.f64 c (/.f64 b a)) b)
(fma.f64 -3/2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -3/2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) b))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) a)) (*.f64 c c)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (fma.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -27/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) b)))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) a)) (.f64 c c)) (fma.f64 -27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) b)))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(fma.f64 (*.f64 (/.f64 c b) a) 3/2 (neg.f64 b))
(-.f64 (.f64 (/.f64 c b) (.f64 a 3/2)) b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b)))
(-.f64 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) 9/8)) b)
(-.f64 (fma.f64 (.f64 a (/.f64 c b)) 3/2 (.f64 (/.f64 (.f64 (.f64 c c) 9/8) (/.f64 (pow.f64 b 3) a)) a)) b)
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))))
(fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 27/16 (-.f64 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) 9/8)) b))
(fma.f64 (.f64 a (/.f64 c b)) 3/2 (fma.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 27/16 (-.f64 (.f64 (/.f64 (.f64 (*.f64 c c) 9/8) (/.f64 (pow.f64 b 3) a)) a) b)))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(fma.f64 -3/2 (/.f64 c (/.f64 b a)) b)
(fma.f64 -3/2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -3/2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) b))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) a)) (*.f64 c c)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (fma.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -27/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) b)))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) a)) (.f64 c c)) (fma.f64 -27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) b)))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(fma.f64 -3/2 (/.f64 c (/.f64 b a)) b)
(fma.f64 -3/2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -3/2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) b))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) a)) (*.f64 c c)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (fma.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -27/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) b)))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) a)) (.f64 c c)) (fma.f64 -27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) b)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 -1 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (neg.f64 b))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1 b (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (neg.f64 b)))
(-.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))) b)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 -1 b (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -3 (sqrt.f64 -3)))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (neg.f64 b))))
(-.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) 1/24))) b)
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (fma.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) 1/24 (neg.f64 b))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 -3/2 (.f64 c a)) b)
(/.f64 (.f64 (.f64 c a) -3/2) b)
(.f64 (/.f64 c b) (.f64 a -3/2))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (/.f64 (.f64 -3/2 (.f64 c a)) b))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a)))))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (.f64 (.f64 c c) (/.f64 (.f64 a (*.f64 a -9/8)) (pow.f64 b 3))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (/.f64 (.f64 -27/16 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -27/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (.f64 (*.f64 c a) -3/2) b)))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) a)) (.f64 c c)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -27/16))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (.f64 c c) (.f64 a a))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (/.f64 (.f64 -27/16 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5)))))
(fma.f64 -1/2 (/.f64 (fma.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 81/64)) (pow.f64 b 7)) (fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -27/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (.f64 (.f64 c a) -3/2) b))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (pow.f64 b 7)) (fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) a)) (.f64 c c)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -27/16)))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 b -2))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 3/2)))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b)))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (*.f64 b -2)))
(fma.f64 (.f64 (/.f64 c b) a) 3/2 (fma.f64 b -2 (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) 9/8)))
(fma.f64 b -2 (fma.f64 (.f64 a (/.f64 c b)) 3/2 (.f64 (/.f64 (.f64 (.f64 c c) 9/8) (/.f64 (pow.f64 b 3) a)) a)))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b))))
(fma.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (.f64 b -2))))
(fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 27/16 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (fma.f64 b -2 (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) 9/8))))
(fma.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 27/16 (fma.f64 b -2 (fma.f64 (.f64 a (/.f64 c b)) 3/2 (.f64 (/.f64 (.f64 (*.f64 c c) 9/8) (/.f64 (pow.f64 b 3) a)) a))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 -3/2 (.f64 c a)) b)
(/.f64 (.f64 (.f64 c a) -3/2) b)
(.f64 (/.f64 c b) (.f64 a -3/2))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (/.f64 (.f64 -3/2 (.f64 c a)) b))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a)))))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (.f64 (.f64 c c) (/.f64 (.f64 a (*.f64 a -9/8)) (pow.f64 b 3))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (/.f64 (.f64 -27/16 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -27/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (.f64 (*.f64 c a) -3/2) b)))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) a)) (.f64 c c)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -27/16))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -1/2 (/.f64 (pow.f64 c 4) (/.f64 b (fma.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (.f64 -9/8 (/.f64 (.f64 a a) (pow.f64 b 3))) 2)))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (/.f64 (.f64 -27/16 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5)))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 4) b) (fma.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 81/64))) (fma.f64 -27/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (.f64 (*.f64 c a) -3/2) b))))
(fma.f64 -9/8 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) a)) (.f64 c c)) (fma.f64 -1/2 (.f64 (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 c 4) b)) (fma.f64 -3/2 (.f64 a (/.f64 c b)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -27/16)))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 -3/2 (.f64 c a)) b)
(/.f64 (.f64 (.f64 c a) -3/2) b)
(.f64 (/.f64 c b) (.f64 a -3/2))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (/.f64 (.f64 -3/2 (.f64 c a)) b))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a)))))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (.f64 (.f64 c c) (/.f64 (.f64 a (*.f64 a -9/8)) (pow.f64 b 3))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (/.f64 (.f64 -27/16 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -27/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (.f64 (*.f64 c a) -3/2) b)))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) a)) (.f64 c c)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -27/16))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -1/2 (/.f64 (pow.f64 c 4) (/.f64 b (fma.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (.f64 -9/8 (/.f64 (.f64 a a) (pow.f64 b 3))) 2)))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (/.f64 (.f64 -27/16 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5)))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 4) b) (fma.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 81/64))) (fma.f64 -27/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (.f64 (*.f64 c a) -3/2) b))))
(fma.f64 -9/8 (.f64 (/.f64 a (/.f64 (pow.f64 b 3) a)) (.f64 c c)) (fma.f64 -1/2 (.f64 (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 c 4) b)) (fma.f64 -3/2 (.f64 a (/.f64 c b)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -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 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(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 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(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 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(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 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(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 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 3 a) c)
✓	0.4b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
✓	0.8b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
✓	26.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 69 to 35 computations (49.3% saved)

series16.0ms (0.1%)

Counts

4 → 100

Calls

33 calls:

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

rewrite128.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	275	47
2	3929	45

Stop Event

1×	node limit

Counts

4 → 310

Calls

Call 1

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

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

simplify97.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

712×	`times-frac_binary64`
670×	`associate-r_binary64`
632×	`associate-l_binary64`
588×	`fma-def_binary64`
437×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	1915
1	400	1847
2	1367	1799
3	7827	1799

Stop Event

1×	node limit

Counts

410 → 364

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -3 (sqrt.f64 -3)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) 1/24)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -3 (sqrt.f64 -3)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5))) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) 1/24))))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(fma.f64 -3/2 (/.f64 c (/.f64 b a)) b)
(fma.f64 -3/2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -3/2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(fma.f64 -9/8 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) b))
(fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) b))
(fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -3/2 (.f64 a (/.f64 c b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(fma.f64 -9/8 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (fma.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) b)))
(fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) b)))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -27/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) b)))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (/.f64 3/2 (/.f64 b (*.f64 c a))) b)
(-.f64 (.f64 (/.f64 c b) (.f64 a 3/2)) b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/8 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b)))
(-.f64 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a)) 9/8)) b)
(-.f64 (fma.f64 (.f64 a (/.f64 c b)) 3/2 (/.f64 (.f64 (.f64 a a) (.f64 c (*.f64 c 9/8))) (pow.f64 b 3))) b)
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/8 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b))))
(fma.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) 27/16 (-.f64 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) 9/8)) b))
(-.f64 (fma.f64 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) 27/16 (fma.f64 (.f64 a (/.f64 c b)) 3/2 (/.f64 (.f64 (.f64 a a) (.f64 c (*.f64 c 9/8))) (pow.f64 b 3)))) b)
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(fma.f64 -3/2 (/.f64 c (/.f64 b a)) b)
(fma.f64 -3/2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -3/2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(fma.f64 -9/8 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) b))
(fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) b))
(fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -3/2 (.f64 a (/.f64 c b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(fma.f64 -9/8 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (fma.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) b)))
(fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) b)))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -27/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) b)))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(fma.f64 -3/2 (/.f64 c (/.f64 b a)) b)
(fma.f64 -3/2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -3/2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b))
(fma.f64 -9/8 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) b))
(fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) b))
(fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -3/2 (.f64 a (/.f64 c b)) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(fma.f64 -9/8 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (fma.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) b)))
(fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) b)))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -27/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) b)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 -1 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (neg.f64 b))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1 b (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (neg.f64 b)))
(-.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))) b)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 -1 b (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -3 (sqrt.f64 -3)))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (neg.f64 b))))
(-.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) 1/24))) b)
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 -3/2 (/.f64 b (*.f64 c a)))
(.f64 (/.f64 c b) (.f64 a -3/2))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(fma.f64 -9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (.f64 -3/2 (/.f64 c (/.f64 b a))))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 (.f64 -9/8 (.f64 c c)) (/.f64 (pow.f64 b 3) (.f64 a a))))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (/.f64 -9/8 (/.f64 (/.f64 (pow.f64 b 3) (.f64 c (*.f64 c a))) a)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 -9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))
(fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (/.f64 -3/2 (/.f64 b (*.f64 c a)))))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (.f64 (/.f64 (.f64 (pow.f64 c 3) -27/16) (pow.f64 b 5)) (pow.f64 a 3))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (.f64 c c) (.f64 a a))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))))
(fma.f64 -1/2 (/.f64 (fma.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 81/64)) (pow.f64 b 7)) (fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (/.f64 -3/2 (/.f64 b (.f64 c a))))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (pow.f64 b 7)) (fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (.f64 (/.f64 (.f64 (pow.f64 c 3) -27/16) (pow.f64 b 5)) (pow.f64 a 3)))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 3/2 (/.f64 b (*.f64 c a))))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 3/2)))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b)))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (.f64 b -2)))
(fma.f64 (.f64 (/.f64 c b) a) 3/2 (fma.f64 b -2 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a)) 9/8)))
(fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) 9/8 (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 3/2))))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b))))
(fma.f64 27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (.f64 b -2))))
(fma.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) 27/16 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (fma.f64 b -2 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) 9/8))))
(fma.f64 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) 27/16 (fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) 9/8 (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 3/2)))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 -3/2 (/.f64 b (*.f64 c a)))
(.f64 (/.f64 c b) (.f64 a -3/2))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(fma.f64 -9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (.f64 -3/2 (/.f64 c (/.f64 b a))))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 (.f64 -9/8 (.f64 c c)) (/.f64 (pow.f64 b 3) (.f64 a a))))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (/.f64 -9/8 (/.f64 (/.f64 (pow.f64 b 3) (.f64 c (*.f64 c a))) a)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 -9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))
(fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (/.f64 -3/2 (/.f64 b (*.f64 c a)))))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (.f64 (/.f64 (.f64 (pow.f64 c 3) -27/16) (pow.f64 b 5)) (pow.f64 a 3))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (fma.f64 -1/2 (/.f64 (pow.f64 a 4) (/.f64 b (fma.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (.f64 -9/8 (/.f64 (.f64 c c) (pow.f64 b 3))) 2)))) (.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))))
(fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 a 4) b) (fma.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 81/64))) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -1/2 (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 a 4) b)) (.f64 (/.f64 (.f64 (pow.f64 c 3) -27/16) (pow.f64 b 5)) (pow.f64 a 3)))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 -3/2 (/.f64 b (*.f64 c a)))
(.f64 (/.f64 c b) (.f64 a -3/2))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(fma.f64 -9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (.f64 -3/2 (/.f64 c (/.f64 b a))))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 (.f64 -9/8 (.f64 c c)) (/.f64 (pow.f64 b 3) (.f64 a a))))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (/.f64 -9/8 (/.f64 (/.f64 (pow.f64 b 3) (.f64 c (*.f64 c a))) a)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 -9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))
(fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (/.f64 -3/2 (/.f64 b (*.f64 c a)))))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (.f64 (/.f64 (.f64 (pow.f64 c 3) -27/16) (pow.f64 b 5)) (pow.f64 a 3))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (fma.f64 -1/2 (/.f64 (pow.f64 a 4) (/.f64 b (fma.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (.f64 -9/8 (/.f64 (.f64 c c) (pow.f64 b 3))) 2)))) (.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))))
(fma.f64 -9/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 a 4) b) (fma.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 81/64))) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -1/2 (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 a 4) b)) (.f64 (/.f64 (.f64 (pow.f64 c 3) -27/16) (pow.f64 b 5)) (pow.f64 a 3)))))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(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 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(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 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(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 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(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 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(.f64 3 (.f64 c a))
(.f64 (.f64 c a) 3)
(.f64 c (.f64 a 3))
(.f64 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))

eval300.0ms (1.4%)

Compiler: Compiled 16462 to 10297 computations (37.4% saved)

prune135.0ms (0.6%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	579	25	604
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	580	26	606

Error

11.5b

Counts

606 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	45.2b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
	57.1b	(*.f64 (-.f64 b b) (/.f64 1/3 a))
▶	36.5b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
	45.9b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
▶	44.9b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
	45.2b	(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 3 a))
	45.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
	36.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (/.f64 1 a) 1/3))
▶	47.5b	(/.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 1) (.f64 3 a))
	37.7b	(.f64 (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -3) (*.f64 b b))) 3)) b) (/.f64 1/3 a))
	54.9b	(.f64 (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) (/.f64 1/3 a))
▶	44.6b	(.f64 (.f64 b -2) (/.f64 1/3 a))
	45.7b	(/.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 3 a))
	46.0b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	46.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
	44.6b	(/.f64 (.f64 b -2) (.f64 3 a))
	37.9b	(.f64 (fma.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/4) (neg.f64 b)) (/.f64 1/3 a))
	46.0b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
	46.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
	49.4b	(/.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) (/.f64 -9/8 (/.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 c a))) a))) (.f64 3 a))
	45.4b	(.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 3/2)) b) (/.f64 1/3 a))
	39.4b	(.f64 (-.f64 (exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 a -3) (.f64 b b))) 1/2)) b) (/.f64 1/3 a))
	36.7b	(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/4) 2) b) (/.f64 1/3 a))
✓	36.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	48.5b	(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
▶	46.4b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (.f64 3 a))

Compiler

Compiled 936 to 658 computations (29.7% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1/3 a)
✓	0.4b	(+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))
✓	0.8b	(-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))) b)
✓	26.3b	(sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b)))

Compiler

Compiled 69 to 37 computations (46.4% saved)

series10.0ms (0%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	c	@	0	(sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b)))
0.0ms	c	@	inf	(sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b)))
0.0ms	c	@	-inf	(sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b)))
0.0ms	a	@	inf	(sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b)))
0.0ms	c	@	inf	(-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))) b)

rewrite112.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`fma-def_binary64`
586×	`log-prod_binary64`
419×	`pow-prod-down_binary64`
317×	`pow2_binary64`
269×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	243	38
2	3381	38

Stop Event

1×	node limit

Counts

3 → 194

Calls

Call 1

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

Outputs

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

simplify87.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

712×	`times-frac_binary64`
661×	`associate-r_binary64`
622×	`associate-l_binary64`
588×	`fma-def_binary64`
437×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	1747
1	396	1679
2	1358	1631
3	7799	1631

Stop Event

1×	node limit

Counts

270 → 246

Calls

Call 1

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

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

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 b -2) (/.f64 1/3 a))
	0.3b	(/.f64 1/3 a)

Compiler

Compiled 20 to 14 computations (30% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(.f64 (.f64 b -2) (/.f64 1/3 a))
1.0ms	b	@	inf	(.f64 (.f64 b -2) (/.f64 1/3 a))
1.0ms	a	@	0	(.f64 (.f64 b -2) (/.f64 1/3 a))
1.0ms	a	@	inf	(.f64 (.f64 b -2) (/.f64 1/3 a))
1.0ms	b	@	-inf	(.f64 (.f64 b -2) (/.f64 1/3 a))

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`pow1_binary64`
749×	`add-log-exp_binary64`
749×	`log1p-expm1-u_binary64`
749×	`expm1-log1p-u_binary64`
736×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	171	7
2	2038	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(.f64 (.f64 b -2) (/.f64 1/3 a))

Outputs

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

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

46 → 23

Calls

Call 1

Inputs
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))

Outputs
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 (.f64 (/.f64 c b) (.f64 a 3/2)) b) b)
	0.3b	(/.f64 1/3 a)
✓	3.3b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
✓	5.4b	(.f64 (/.f64 c b) (.f64 a 3/2))

Compiler

Compiled 59 to 30 computations (49.2% saved)

series20.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	c	@	0	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
2.0ms	a	@	-inf	(.f64 (/.f64 c b) (.f64 a 3/2))
1.0ms	c	@	0	(.f64 (/.f64 c b) (.f64 a 3/2))
1.0ms	b	@	0	(.f64 (/.f64 c b) (.f64 a 3/2))
1.0ms	b	@	0	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))

rewrite113.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`log-prod_binary64`
597×	`fma-def_binary64`
380×	`fma-neg_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	301	48
2	4343	48

Stop Event

1×	node limit

Counts

3 → 247

Calls

Call 1

Inputs
(.f64 (/.f64 c b) (.f64 a 3/2))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(-.f64 (-.f64 (.f64 (/.f64 c b) (.f64 a 3/2)) b) b)

Outputs

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simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

27×	`fma-def_binary64`
23×	`*-commutative_binary64`
19×	`associate-/l*_binary64`
13×	`associate-/r/_binary64`
10×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	1245
1	34	1245
2	61	1245
3	95	1245
4	133	1245
5	155	1245
6	157	1245

Stop Event

1×

saturated

Counts

355 → 259

Calls

Call 1

Inputs
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 -2/3 (/.f64 b a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(*.f64 1/2 (/.f64 c b))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(*.f64 1/2 (/.f64 c b))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(*.f64 1/2 (/.f64 c b))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(*.f64 -2/3 (/.f64 b a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(*.f64 -2/3 (/.f64 b a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(*.f64 -2/3 (/.f64 b a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(*.f64 1/2 (/.f64 c b))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(*.f64 1/2 (/.f64 c b))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(*.f64 -2 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(*.f64 -2 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(*.f64 -2 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(*.f64 -2 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(.f64 3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))

Outputs
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(*.f64 b (/.f64 -2/3 a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(*.f64 1/2 (/.f64 c b))
(*.f64 c (/.f64 1/2 b))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(*.f64 1/2 (/.f64 c b))
(*.f64 c (/.f64 1/2 b))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(*.f64 1/2 (/.f64 c b))
(*.f64 c (/.f64 1/2 b))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(*.f64 b (/.f64 -2/3 a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(*.f64 b (/.f64 -2/3 a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(*.f64 b (/.f64 -2/3 a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(*.f64 1/2 (/.f64 c b))
(*.f64 c (/.f64 1/2 b))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(*.f64 1/2 (/.f64 c b))
(*.f64 c (/.f64 1/2 b))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 (/.f64 -2/3 a) b (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))
(.f64 3/2 (/.f64 (.f64 c a) b))
(*.f64 3/2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 3/2 c) a) b)
(.f64 (/.f64 c b) (.f64 3/2 a))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 3/2 c) a) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(fma.f64 (.f64 c a) (/.f64 3/2 b) (.f64 b -2))

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 1) (.f64 3 a))
✓	0.2b	(.f64 c (.f64 a -3))
✓	1.0b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))
✓	15.6b	(sqrt.f64 (.f64 c (.f64 a -3)))

Compiler

Compiled 72 to 47 computations (34.7% saved)

series63.0ms (0.3%)

Counts

4 → 52

Calls

30 calls:

Time	Variable		Point	Expression
10.0ms	c	@	-inf	(/.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 1) (.f64 3 a))
7.0ms	a	@	inf	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))
6.0ms	a	@	0	(/.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 1) (.f64 3 a))
4.0ms	a	@	inf	(/.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 1) (.f64 3 a))
4.0ms	a	@	-inf	(/.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 1) (.f64 3 a))

rewrite96.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

687×	`log-prod_binary64`
680×	`prod-diff_binary64`
235×	`fma-def_binary64`
234×	`expm1-udef_binary64`
234×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	322	52
2	3995	52

Stop Event

1×	node limit

Counts

4 → 145

Calls

Call 1

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

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

simplify111.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

919×	`times-frac_binary64`
688×	`associate-/l*_binary64`
557×	`unswap-sqr_binary64`
489×	`associate-/r*_binary64`
464×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	143	1282
1	416	1071
2	1535	1049
3	6529	1025
4	7595	1025
5	7959	1025

Stop Event

1×	node limit

Counts

197 → 193

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) b)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 b (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (+.f64 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)) b))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) b))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 (.f64 1/2 b) (/.f64 (sqrt.f64 -3) b)) b))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)) b)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 4) -3) (sqrt.f64 -3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) b)))
(+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) b) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (.f64 1/24 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (.f64 2 b))
(fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (.f64 b 2))
(fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a -3))) (.f64 b 2))
(fma.f64 b 2 (.f64 (/.f64 1/2 b) (.f64 (*.f64 c a) -3)))
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(fma.f64 1/6 (/.f64 (.f64 (.f64 (pow.f64 a 4) 81) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (.f64 a (pow.f64 b 7))) (fma.f64 (.f64 (.f64 a 9) (/.f64 (.f64 c c) (pow.f64 b 3))) 1/24 (fma.f64 (/.f64 a (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 c 3)) (*.f64 a -27))) -1/48 (/.f64 1/2 (/.f64 b c)))))
(fma.f64 1/6 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (.f64 a (pow.f64 b 7))) (fma.f64 (.f64 (.f64 a 9) (/.f64 (.f64 c c) (pow.f64 b 3))) 1/24 (fma.f64 (/.f64 a (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 c 3)) (*.f64 a -27))) -1/48 (/.f64 1/2 (/.f64 b c)))))
(*.f64 2/3 (/.f64 b a))
(*.f64 (/.f64 b a) 2/3)
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(*.f64 (/.f64 b a) 2/3)
(/.f64 b (/.f64 a 2/3))

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))
✓	7.7b	(/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))))
	15.6b	(sqrt.f64 (.f64 c (.f64 a -3)))
✓	21.0b	(-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (*.f64 b b))

Compiler

Compiled 116 to 64 computations (44.8% saved)

series30.0ms (0.1%)

Counts

2 → 50

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	c	@	-inf	(/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))))
5.0ms	c	@	inf	(/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))))
5.0ms	a	@	-inf	(/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))))
4.0ms	a	@	inf	(/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))))
1.0ms	b	@	-inf	(/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))))

rewrite149.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

803×	`log-prod_binary64`
569×	`fma-def_binary64`
344×	`fma-neg_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
1	318	51
2	4523	51

Stop Event

1×	node limit

Counts

2 → 164

Calls

Call 1

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

Outputs

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simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

807×	`times-frac_binary64`
617×	`fma-def_binary64`
580×	`associate-/l*_binary64`
468×	`associate-/r*_binary64`
433×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	127	1035
1	403	833
2	1736	769

Stop Event

1×	node limit

Counts

214 → 190

Calls

Call 1

Inputs
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -3))))
(+.f64 (.f64 3 (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (.f64 -3 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -3)))))
(+.f64 (.f64 3 (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 b 2) (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 3 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))))))) (.f64 -3 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -3))))))
(+.f64 (.f64 3 (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 b 2) (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 3 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))))))) (+.f64 (.f64 -3 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -3)))) (.f64 -1 (.f64 (pow.f64 b 3) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 3 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))))) (sqrt.f64 -3)))) (.f64 3/2 (/.f64 1 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 4)))))))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (*.f64 c a) b)))
(+.f64 (.f64 -3/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 5))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -3/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 5))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -3/32 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 6)))) (.f64 -3/128 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 6))))) (pow.f64 b 7))) (.f64 -3/2 (/.f64 (*.f64 c a) b)))))
(*.f64 6 (/.f64 b (pow.f64 (sqrt.f64 -3) 2)))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 6 (/.f64 b (pow.f64 (sqrt.f64 -3) 2))))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -3/4 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (*.f64 6 (/.f64 b (pow.f64 (sqrt.f64 -3) 2))))))
(+.f64 (.f64 6 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (.f64 c (.f64 a (.f64 (pow.f64 b 5) (pow.f64 (sqrt.f64 -3) 4)))))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -3/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 5))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 a (.f64 (+.f64 (.f64 3/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))))) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 b 5))) (+.f64 (.f64 -3/4 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (.f64 6 (/.f64 b (pow.f64 (sqrt.f64 -3) 2)))))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))

Outputs
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 c a))
(.f64 a (.f64 c -3))
(.f64 c (.f64 a -3))
(.f64 -3 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -3))))
(/.f64 (.f64 (sqrt.f64 (.f64 c a)) -3) (sqrt.f64 -3))
(.f64 (sqrt.f64 (.f64 c a)) (/.f64 -3 (sqrt.f64 -3)))
(+.f64 (.f64 3 (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (.f64 -3 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -3)))))
(fma.f64 3 (/.f64 b (pow.f64 (sqrt.f64 -3) 2)) (.f64 -3 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -3)))))
(fma.f64 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) -3 (.f64 3 (/.f64 b -3)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (/.f64 -3 (sqrt.f64 -3)) (neg.f64 b))
(+.f64 (.f64 3 (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 b 2) (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 3 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))))))) (.f64 -3 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -3))))))
(fma.f64 3 (/.f64 b (pow.f64 (sqrt.f64 -3) 2)) (fma.f64 -1 (.f64 (.f64 b b) (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))) 3/2)) (.f64 -3 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -3))))))
(fma.f64 3 (/.f64 b -3) (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 c a)) -3) (sqrt.f64 -3)) (.f64 b (.f64 b (.f64 (/.f64 -1/3 (sqrt.f64 -3)) (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) 3/2))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (/.f64 -3 (sqrt.f64 -3)) (fma.f64 (.f64 b b) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 1/2 (sqrt.f64 -3))) (neg.f64 b)))
(+.f64 (.f64 3 (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 b 2) (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 3 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))))))) (+.f64 (.f64 -3 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -3)))) (.f64 -1 (.f64 (pow.f64 b 3) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 3 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))))) (sqrt.f64 -3)))) (.f64 3/2 (/.f64 1 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 4)))))))))))
(fma.f64 3 (/.f64 b (pow.f64 (sqrt.f64 -3) 2)) (fma.f64 -1 (.f64 (.f64 b b) (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))) 3/2)) (fma.f64 -3 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -3))) (neg.f64 (.f64 (pow.f64 b 3) (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))) 3/2) (sqrt.f64 -3))) (/.f64 3/2 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -3) 4)))))))))
(fma.f64 3 (/.f64 b -3) (-.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 c a)) -3) (sqrt.f64 -3)) (.f64 b (.f64 b (.f64 (/.f64 -1/3 (sqrt.f64 -3)) (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) 3/2))))) (.f64 (pow.f64 b 3) (-.f64 (/.f64 3/2 (.f64 a (.f64 9 c))) (/.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (sqrt.f64 -3) (.f64 (/.f64 -1/3 (sqrt.f64 -3)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) 3/2))))))))
(-.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (/.f64 -3 (sqrt.f64 -3)) (fma.f64 (.f64 b b) (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 1/2 (sqrt.f64 -3))) (neg.f64 b))) (.f64 (pow.f64 b 3) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) 3/2) 9)) (/.f64 (/.f64 1/6 a) c))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 c -3/2) (/.f64 b a))
(+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (*.f64 c a) b)))
(fma.f64 3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 a a)))) (.f64 -3/2 (/.f64 c (/.f64 b a))))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 (.f64 (.f64 c (.f64 c (*.f64 a a))) -9/8) (pow.f64 b 3)))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (/.f64 (.f64 a (.f64 a (.f64 c c))) (/.f64 (pow.f64 b 3) -9/8)))
(+.f64 (.f64 -3/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 5))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b))))
(fma.f64 -3/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 (sqrt.f64 -3) 4) (pow.f64 a 3)))) (fma.f64 3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 a a)))) (*.f64 -3/2 (/.f64 c (/.f64 b a)))))
(fma.f64 -3/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 9 (pow.f64 a 3))) (fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 (.f64 (.f64 c (.f64 c (*.f64 a a))) -9/8) (pow.f64 b 3))))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -3/16 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) 9)) (pow.f64 a 3)) (/.f64 (.f64 a (.f64 a (*.f64 c c))) (/.f64 (pow.f64 b 3) -9/8))))
(+.f64 (.f64 -3/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 5))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -3/32 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 6)))) (.f64 -3/128 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 6))))) (pow.f64 b 7))) (.f64 -3/2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -3/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 (sqrt.f64 -3) 4) (pow.f64 a 3)))) (fma.f64 3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 a a)))) (fma.f64 -1 (/.f64 (.f64 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 6))) -15/128) (pow.f64 b 7)) (.f64 -3/2 (/.f64 c (/.f64 b a))))))
(+.f64 (-.f64 (/.f64 (.f64 c -3/2) (/.f64 b a)) (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/128) (pow.f64 b 7))) (fma.f64 -3/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 9 (pow.f64 a 3))) (/.f64 (.f64 (.f64 c (.f64 c (*.f64 a a))) -9/8) (pow.f64 b 3))))
(-.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -3/16 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) 9)) (pow.f64 a 3)) (/.f64 (.f64 a (.f64 a (.f64 c c))) (/.f64 (pow.f64 b 3) -9/8)))) (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (/.f64 (pow.f64 b 7) 405/128)))
(*.f64 6 (/.f64 b (pow.f64 (sqrt.f64 -3) 2)))
(*.f64 (/.f64 b (pow.f64 (sqrt.f64 -3) 2)) 6)
(*.f64 (/.f64 b -3) 6)
(*.f64 -2 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 6 (/.f64 b (pow.f64 (sqrt.f64 -3) 2))))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 (/.f64 b (pow.f64 (sqrt.f64 -3) 2)) 6))
(fma.f64 (/.f64 b -3) 6 (.f64 3/2 (.f64 (/.f64 c b) a)))
(fma.f64 3/2 (.f64 a (/.f64 c b)) (.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -3/4 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (*.f64 6 (/.f64 b (pow.f64 (sqrt.f64 -3) 2))))))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 -3/4 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 a a)))) (fma.f64 3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 a a)))) (*.f64 (/.f64 b (pow.f64 (sqrt.f64 -3) 2)) 6))))
(+.f64 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a -3))) -3/8) (fma.f64 (/.f64 b -3) 6 (.f64 3/2 (*.f64 (/.f64 c b) a))))
(+.f64 (fma.f64 3/2 (.f64 a (/.f64 c b)) (.f64 -2 b)) (/.f64 (.f64 (.f64 a (.f64 a (.f64 c c))) 9/8) (pow.f64 b 3)))
(+.f64 (.f64 6 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (.f64 c (.f64 a (.f64 (pow.f64 b 5) (pow.f64 (sqrt.f64 -3) 4)))))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -3/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 5))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 a (.f64 (+.f64 (.f64 3/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))))) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 b 5))) (+.f64 (.f64 -3/4 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (.f64 6 (/.f64 b (pow.f64 (sqrt.f64 -3) 2)))))))))
(fma.f64 6 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8))) (pow.f64 (.f64 (.f64 -1/8 (.f64 c c)) (.f64 (pow.f64 (sqrt.f64 -3) 4) (.f64 a a))) 2)) (.f64 (.f64 c a) (.f64 (pow.f64 (sqrt.f64 -3) 4) (pow.f64 b 5)))) (fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 -3/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 (sqrt.f64 -3) 4) (pow.f64 a 3)))) (fma.f64 1/4 (/.f64 c (/.f64 (pow.f64 b 5) (.f64 (.f64 a (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 a a))) -3/8)) (pow.f64 (sqrt.f64 -3) 2)))) (fma.f64 -3/4 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 a a)))) (fma.f64 3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 a a)))) (*.f64 (/.f64 b (pow.f64 (sqrt.f64 -3) 2)) 6)))))))
(fma.f64 6 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 81/16) (pow.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -9/8) 2)) (.f64 a (.f64 c (.f64 9 (pow.f64 b 5))))) (fma.f64 3/2 (.f64 (/.f64 c b) a) (fma.f64 -3/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 9 (pow.f64 a 3))) (fma.f64 1/4 (.f64 (/.f64 c (pow.f64 b 5)) (.f64 a (.f64 (.f64 (.f64 a a) (.f64 -3 (.f64 c c))) 9/8))) (+.f64 (.f64 (/.f64 b -3) 6) (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (*.f64 a -3))) -3/8))))))
(fma.f64 3/2 (.f64 a (/.f64 c b)) (fma.f64 (/.f64 2/3 (.f64 a (pow.f64 b 5))) (/.f64 (.f64 (.f64 (pow.f64 a 4) 81) (+.f64 (.f64 (pow.f64 c 4) 1/16) (.f64 (pow.f64 c 4) 1/64))) c) (fma.f64 1/4 (.f64 (.f64 a (.f64 (.f64 (.f64 a a) (.f64 -3 (.f64 c c))) 9/8)) (/.f64 c (pow.f64 b 5))) (fma.f64 -3/16 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) 9)) (pow.f64 a 3)) (+.f64 (.f64 -2 b) (/.f64 (.f64 (.f64 a (.f64 a (*.f64 c c))) 9/8) (pow.f64 b 3)))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 c -3/2) (/.f64 b a))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 c -3/2) (/.f64 b a))

eval657.0ms (3.1%)

Compiler: Compiled 29938 to 17778 computations (40.6% saved)

prune398.0ms (1.9%)

Pruning

44 alts after pruning (42 fresh and 2 done)

	Pruned	Kept	Total
New	1052	36	1088
Fresh	14	6	20
Picked	1	0	1
Done	3	2	5
Total	1070	44	1114

Error

11.4b

Counts

1114 → 44

Alt Table

Click to see full alt table

Status	Error	Program
	57.5b	(*.f64 1/2 (/.f64 c b))
	44.8b	(/.f64 (/.f64 (*.f64 b -2/3) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	57.1b	(*.f64 (-.f64 b b) (/.f64 1/3 a))
▶	37.8b	(/.f64 (/.f64 (.f64 c (.f64 a -3)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (*.f64 3 a))
	62.3b	(/.f64 (.f64 (.f64 b 2) 1) (*.f64 3 a))
	44.8b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
	45.2b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
✓	36.5b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
	44.6b	(*.f64 b (/.f64 -2/3 a))
	44.6b	(/.f64 (*.f64 b -2/3) a)
	36.5b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (*.f64 (/.f64 1 a) 1/3))
	45.2b	(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 3 a))
	58.6b	(.f64 (.f64 b -2) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
	39.2b	(.f64 (-.f64 (.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/6) (cbrt.f64 (fma.f64 c (.f64 a -3) (.f64 b b)))) b) (/.f64 1/3 a))
	44.6b	(/.f64 1 (/.f64 a (*.f64 b -2/3)))
	51.7b	(/.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) (/.f64 (.f64 a (.f64 a (.f64 c c))) (/.f64 (pow.f64 b 3) -9/8))) (*.f64 3 a))
▶	62.6b	(fma.f64 (/.f64 b a) 2/3 (/.f64 -1/2 (/.f64 b c)))
	44.8b	(.f64 (.f64 b -2) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
▶	44.6b	(/.f64 (.f64 b -2) (.f64 a 3))
	45.7b	(/.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 3 a))
	46.8b	(/.f64 (/.f64 (.f64 c -3/2) (/.f64 b a)) (.f64 3 a))
	62.3b	(/.f64 b (/.f64 a 2/3))
	44.9b	(.f64 (-.f64 (-.f64 (/.f64 c (/.f64 b (.f64 a 3/2))) b) b) (/.f64 1/3 a))
	44.6b	(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
	46.0b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	46.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
	47.5b	(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 c (.f64 a -3) (.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (*.f64 3 a))
▶	44.6b	(*.f64 -2/3 (/.f64 b a))
	47.5b	(/.f64 (/.f64 (fma.f64 b b (fma.f64 c (.f64 a -3) (.f64 b (neg.f64 b)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (*.f64 3 a))
	62.3b	(*.f64 2/3 (/.f64 b a))
	45.9b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
	47.5b	(/.f64 (/.f64 (fma.f64 (.f64 b (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (fma.f64 c (.f64 a -3) (.f64 b (neg.f64 b)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (.f64 3 a))
	39.8b	(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/6) 3) b) (/.f64 1/3 a))
	37.7b	(.f64 (-.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -3) (*.f64 b b))) 3/2) b) (/.f64 1/3 a))
	55.0b	(/.f64 (/.f64 (fma.f64 (.f64 (neg.f64 b) (sqrt.f64 b)) (sqrt.f64 b) (fma.f64 c (.f64 a -3) (.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (.f64 3 a))
	63.5b	(.f64 (/.f64 1 a) (.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (/.f64 a 1/3))) b)) 1/3))
✓	36.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	57.5b	(/.f64 1/2 (/.f64 b c))
	39.4b	(.f64 (-.f64 (exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 a -3) (.f64 b b))) 1/2)) b) (/.f64 1/3 a))
	55.3b	(exp.f64 (log.f64 (*.f64 b (/.f64 -2/3 a))))
▶	36.5b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (pow.f64 (*.f64 a 3) -1))
	46.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
	46.0b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
	57.5b	(*.f64 c (/.f64 1/2 b))

Compiler

Compiled 1403 to 995 computations (29.1% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 a 3) -1)
	0.4b	(+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))
	0.8b	(-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))) b)
	26.3b	(sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b)))

Compiler

Compiled 77 to 44 computations (42.9% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(pow.f64 (*.f64 a 3) -1)
1.0ms	a	@	-inf	(pow.f64 (*.f64 a 3) -1)
1.0ms	a	@	inf	(pow.f64 (*.f64 a 3) -1)

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

531×	`pow1_binary64`
520×	`add-sqr-sqrt_binary64`
497×	`add-log-exp_binary64`
497×	`log1p-expm1-u_binary64`
497×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	126	4
2	1374	4

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(pow.f64 (*.f64 a 3) -1)

Outputs

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

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48

Stop Event

1×

saturated

Counts

35 → 23

Calls

Call 1

Inputs
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)

Outputs
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 -2/3 (/.f64 b a))

Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(*.f64 -2/3 (/.f64 b a))
0.0ms	b	@	inf	(*.f64 -2/3 (/.f64 b a))
0.0ms	b	@	-inf	(*.f64 -2/3 (/.f64 b a))
0.0ms	a	@	inf	(*.f64 -2/3 (/.f64 b a))
0.0ms	a	@	-inf	(*.f64 -2/3 (/.f64 b a))

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
607×	`add-log-exp_binary64`
607×	`log1p-expm1-u_binary64`
607×	`expm1-log1p-u_binary64`
595×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1611	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(*.f64 -2/3 (/.f64 b a))

Outputs

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

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 b -2) (.f64 a 3))

Compiler

Compiled 20 to 14 computations (30% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(/.f64 (.f64 b -2) (.f64 a 3))
0.0ms	b	@	inf	(/.f64 (.f64 b -2) (.f64 a 3))
0.0ms	b	@	-inf	(/.f64 (.f64 b -2) (.f64 a 3))
0.0ms	a	@	0	(/.f64 (.f64 b -2) (.f64 a 3))
0.0ms	a	@	inf	(/.f64 (.f64 b -2) (.f64 a 3))

rewrite66.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

945×	`pow1_binary64`
889×	`add-log-exp_binary64`
888×	`log1p-expm1-u_binary64`
888×	`expm1-log1p-u_binary64`
86×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	174	7
2	2326	7

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

Inputs
(/.f64 (.f64 b -2) (.f64 a 3))

Outputs

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

simplify44.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

77 → 53

Calls

Call 1

Inputs
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))

Outputs
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (/.f64 b a) 2/3 (/.f64 -1/2 (/.f64 b c)))
✓	0.9b	(/.f64 -1/2 (/.f64 b c))

Compiler

Compiled 29 to 13 computations (55.2% saved)

series16.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(/.f64 -1/2 (/.f64 b c))
1.0ms	c	@	0	(/.f64 -1/2 (/.f64 b c))
1.0ms	b	@	-inf	(fma.f64 (/.f64 b a) 2/3 (/.f64 -1/2 (/.f64 b c)))
1.0ms	b	@	inf	(/.f64 -1/2 (/.f64 b c))
1.0ms	a	@	0	(fma.f64 (/.f64 b a) 2/3 (/.f64 -1/2 (/.f64 b c)))

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

529×	`log-prod_binary64`
417×	`exp-prod_binary64`
284×	`pow2_binary64`
277×	`pow-prod-down_binary64`
199×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	220	21
2	2854	21

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

Inputs
(/.f64 -1/2 (/.f64 b c))
(fma.f64 (/.f64 b a) 2/3 (/.f64 -1/2 (/.f64 b c)))

Outputs

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

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

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`fma-def_binary64`
6×	`*-commutative_binary64`
4×	`associate-/l*_binary64`
2×	`associate-*r/_binary64`
2×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	609
1	19	609
2	30	609
3	38	609
4	42	609
5	44	609

Stop Event

1×

saturated

Counts

137 → 81

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(*.f64 2/3 (/.f64 b a))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(*.f64 2/3 (/.f64 b a))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(*.f64 2/3 (/.f64 b a))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(*.f64 2/3 (/.f64 b a))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))

Outputs
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))
(*.f64 2/3 (/.f64 b a))
(*.f64 b (/.f64 2/3 a))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))
(*.f64 2/3 (/.f64 b a))
(*.f64 b (/.f64 2/3 a))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))
(*.f64 2/3 (/.f64 b a))
(*.f64 b (/.f64 2/3 a))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))
(*.f64 2/3 (/.f64 b a))
(*.f64 b (/.f64 2/3 a))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))
(*.f64 -1/2 (/.f64 c b))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 -1/2 b) c)
(*.f64 c (/.f64 -1/2 b))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 2/3 (/.f64 b a) (*.f64 (/.f64 -1/2 b) c))
(fma.f64 2/3 (/.f64 b a) (*.f64 c (/.f64 -1/2 b)))
(fma.f64 b (/.f64 2/3 a) (*.f64 c (/.f64 -1/2 b)))

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))
✓	2.8b	(/.f64 (/.f64 (.f64 c (.f64 a -3)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (*.f64 3 a))
✓	9.5b	(/.f64 (.f64 c (.f64 a -3)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))
	15.6b	(sqrt.f64 (.f64 c (.f64 a -3)))

Compiler

Compiled 79 to 50 computations (36.7% saved)

series75.0ms (0.4%)

Counts

2 → 28

Calls

18 calls:

Time	Variable		Point	Expression
12.0ms	c	@	-inf	(/.f64 (/.f64 (.f64 c (.f64 a -3)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (*.f64 3 a))
11.0ms	a	@	inf	(/.f64 (/.f64 (.f64 c (.f64 a -3)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (*.f64 3 a))
8.0ms	c	@	inf	(/.f64 (.f64 c (.f64 a -3)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))
7.0ms	c	@	-inf	(/.f64 (.f64 c (.f64 a -3)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))
6.0ms	a	@	0	(/.f64 (.f64 c (.f64 a -3)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))

rewrite104.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

770×	`prod-diff_binary64`
253×	`expm1-udef_binary64`
253×	`log1p-udef_binary64`
248×	`fma-def_binary64`
220×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	54
1	310	54
2	4680	54

Stop Event

1×	node limit

Counts

2 → 112

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 a 3) (*.f64 a 3)) (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a 3))))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c (*.f64 a 3)) (/.f64 1 (*.f64 a (*.f64 3 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a 3)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c (*.f64 a 3)) (*.f64 (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a 3)))))) (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a 3)))))) (*.f64 a 3)) (/.f64 1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 a 3) (*.f64 a 3)) (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a 3))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (*.f64 a 3) (*.f64 a 3)) (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a 3))))))))))) (#(struct:change #<rule 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simplify91.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

805×	`associate-/l*_binary64`
714×	`associate-/r*_binary64`
362×	`associate-*l/_binary64`
320×	`associate-*r/_binary64`
259×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	1459
1	635	1135
2	2784	1056

Stop Event

1×	node limit

Counts

140 → 159

Calls

Call 1

Inputs
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(.f64 -3 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -3))))
(+.f64 (.f64 3 (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (.f64 -3 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -3)))))
(+.f64 (.f64 3 (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (+.f64 (.f64 -3 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -3)))) (.f64 3 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))))))))
(+.f64 (.f64 3 (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (+.f64 (.f64 -3 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -3)))) (+.f64 (.f64 3 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))))))) (.f64 -3 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 4))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))))) (sqrt.f64 -3))))) (pow.f64 b 3))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (*.f64 c a) b)))
(+.f64 (.f64 -3/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 5))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -3/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 5))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 3 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 6)))) (.f64 1/128 (.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 6))))) (pow.f64 b 7))))))
(*.f64 6 (/.f64 b (pow.f64 (sqrt.f64 -3) 2)))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 6 (/.f64 b (pow.f64 (sqrt.f64 -3) 2))))
(+.f64 (.f64 -3 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))))) (pow.f64 b 3))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 6 (/.f64 b (pow.f64 (sqrt.f64 -3) 2)))))
(+.f64 (.f64 -3 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))))) (pow.f64 b 3))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -3 (/.f64 (+.f64 (.f64 1/4 (.f64 c (.f64 a (.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))))) (pow.f64 (sqrt.f64 -3) 2))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 4))))) (.f64 1/16 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 4)))))) (pow.f64 b 5))) (*.f64 6 (/.f64 b (pow.f64 (sqrt.f64 -3) 2))))))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -3))))
(+.f64 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -3)))))
(+.f64 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -3)))) (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))))))))
(+.f64 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -3)))) (+.f64 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))))) (.f64 -1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))))) (sqrt.f64 -3))))) (pow.f64 b 3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 5))) (*.f64 -1/2 (/.f64 c b))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (+.f64 (.f64 1/128 (/.f64 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 5))) (+.f64 (.f64 1/32 (/.f64 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 7))) (*.f64 -1/2 (/.f64 c b))))))
(.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2))))
(+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 2))))) (pow.f64 b 3))) (.f64 1/2 (/.f64 c b))))
(+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))))) (.f64 1/4 (.f64 c (.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 2))))) (.f64 a (pow.f64 (sqrt.f64 -3) 2))))))) (pow.f64 b 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 2))))) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b)))))

Outputs
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(.f64 -3/2 (.f64 (/.f64 c b) a))
(/.f64 c (/.f64 (/.f64 b -3/2) a))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(.f64 -3/2 (.f64 (/.f64 c b) a))
(/.f64 c (/.f64 (/.f64 b -3/2) a))
(.f64 -3 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -3))))
(.f64 -3 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)))
(.f64 (sqrt.f64 (.f64 c a)) (/.f64 -3 (sqrt.f64 -3)))
(+.f64 (.f64 3 (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (.f64 -3 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -3)))))
(fma.f64 3 (/.f64 b (pow.f64 (sqrt.f64 -3) 2)) (.f64 -3 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -3)))))
(fma.f64 -3 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) (.f64 3 (/.f64 b -3)))
(fma.f64 -3 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) (.f64 -1 b))
(+.f64 (.f64 3 (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (+.f64 (.f64 -3 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -3)))) (.f64 3 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))))))))
(fma.f64 3 (/.f64 b (pow.f64 (sqrt.f64 -3) 2)) (fma.f64 -3 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -3))) (.f64 3 (.f64 (.f64 b b) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))) -1/2)))))
(fma.f64 3 (/.f64 b -3) (fma.f64 -3 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) (.f64 3 (.f64 (.f64 b b) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (/.f64 -1/3 (sqrt.f64 -3)) -1/2))))))
(+.f64 (fma.f64 -3 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) (.f64 -1 b)) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1/6 (sqrt.f64 -3))) (.f64 3 (*.f64 b b))))
(+.f64 (.f64 3 (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (+.f64 (.f64 -3 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -3)))) (+.f64 (.f64 3 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))))))) (.f64 -3 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 4))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))))) (sqrt.f64 -3))))) (pow.f64 b 3))))))
(fma.f64 3 (/.f64 b (pow.f64 (sqrt.f64 -3) 2)) (fma.f64 -3 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -3))) (fma.f64 3 (.f64 (.f64 b b) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))) -1/2)) (.f64 -3 (.f64 (-.f64 (/.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 4)))) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))) -1/2) (sqrt.f64 -3))))) (pow.f64 b 3))))))
(fma.f64 3 (/.f64 b -3) (fma.f64 -3 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) (fma.f64 -3 (.f64 (+.f64 (/.f64 1/2 (.f64 c (.f64 a 9))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 -1/3 (sqrt.f64 -3))) (/.f64 (sqrt.f64 -3) -1/2)))) (pow.f64 b 3)) (.f64 3 (.f64 (.f64 b b) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 -1/3 (sqrt.f64 -3)) -1/2)))))))
(+.f64 (fma.f64 -3 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) (.f64 -1 b)) (.f64 (.f64 b b) (+.f64 (.f64 3 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1/6 (sqrt.f64 -3)))) (.f64 (.f64 -3 (+.f64 (/.f64 (/.f64 1/18 a) c) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) -1/2) 9)))) b))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(.f64 -3/2 (.f64 (/.f64 c b) a))
(/.f64 c (/.f64 (/.f64 b -3/2) a))
(+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (*.f64 c a) b)))
(fma.f64 3/8 (/.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 a a))) (pow.f64 b 3)) (*.f64 -3/2 (/.f64 c (/.f64 b a))))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 (.f64 (.f64 c c) 3/8) (/.f64 (/.f64 (pow.f64 b 3) -3) (.f64 a a))))
(fma.f64 -3/2 (.f64 (/.f64 c b) a) (.f64 (/.f64 3/8 (pow.f64 b 3)) (.f64 (.f64 a a) (.f64 -3 (.f64 c c)))))
(+.f64 (.f64 -3/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 5))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b))))
(fma.f64 -3/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 (sqrt.f64 -3) 4) (pow.f64 a 3)))) (fma.f64 3/8 (/.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 a a))) (pow.f64 b 3)) (.f64 -3/2 (/.f64 c (/.f64 b a)))))
(fma.f64 -3/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 9 (pow.f64 a 3))) (fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 (.f64 (.f64 c c) 3/8) (/.f64 (/.f64 (pow.f64 b 3) -3) (.f64 a a)))))
(fma.f64 -3/16 (.f64 (/.f64 (.f64 9 (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 c 3)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) (.f64 (/.f64 3/8 (pow.f64 b 3)) (.f64 (.f64 a a) (.f64 -3 (.f64 c c))))))
(+.f64 (.f64 -3/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 5))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 3 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 6)))) (.f64 1/128 (.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 6))))) (pow.f64 b 7))))))
(fma.f64 -3/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 (sqrt.f64 -3) 4) (pow.f64 a 3)))) (fma.f64 3/8 (/.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 a a))) (pow.f64 b 3)) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (.f64 3 (/.f64 (.f64 (.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 6))) 5/128) (pow.f64 b 7))))))
(fma.f64 -3/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 9 (pow.f64 a 3))) (fma.f64 3/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a -3))) (fma.f64 -3/2 (.f64 (/.f64 c b) a) (.f64 3 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) -135/128) (pow.f64 b 7))))))
(fma.f64 -3/16 (.f64 (/.f64 (.f64 9 (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 c 3)) (fma.f64 3/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a -3))) (fma.f64 3 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (/.f64 (pow.f64 b 7) -135/128)) (/.f64 c (/.f64 (/.f64 b -3/2) a)))))
(*.f64 6 (/.f64 b (pow.f64 (sqrt.f64 -3) 2)))
(*.f64 (/.f64 b (pow.f64 (sqrt.f64 -3) 2)) 6)
(*.f64 (/.f64 b -3) 6)
(*.f64 -2 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 6 (/.f64 b (pow.f64 (sqrt.f64 -3) 2))))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 (/.f64 b (pow.f64 (sqrt.f64 -3) 2)) 6))
(fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 (/.f64 b -3) 6))
(fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 -2 b))
(+.f64 (.f64 -3 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))))) (pow.f64 b 3))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 6 (/.f64 b (pow.f64 (sqrt.f64 -3) 2)))))
(fma.f64 -3 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 a a))) 1/8) (pow.f64 b 3)) (fma.f64 3/2 (/.f64 c (/.f64 b a)) (.f64 (/.f64 b (pow.f64 (sqrt.f64 -3) 2)) 6)))
(fma.f64 -3 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -3/8) (pow.f64 b 3)) (fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 (/.f64 b -3) 6)))
(fma.f64 -3 (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -3/8) (pow.f64 b 3)) (fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 -2 b)))
(+.f64 (.f64 -3 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))))) (pow.f64 b 3))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -3 (/.f64 (+.f64 (.f64 1/4 (.f64 c (.f64 a (.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))))) (pow.f64 (sqrt.f64 -3) 2))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 4))))) (.f64 1/16 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 4)))))) (pow.f64 b 5))) (*.f64 6 (/.f64 b (pow.f64 (sqrt.f64 -3) 2))))))
(fma.f64 -3 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 a a))) 1/8) (pow.f64 b 3)) (fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 -3 (/.f64 (fma.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -3) 2) (.f64 a a))) 1/8)))) (fma.f64 -2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8))) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -3) 4) (.f64 a a)))) 2)) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 4)))) (.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -3) 4) (pow.f64 a 3))) 1/16))) (pow.f64 b 5)) (.f64 (/.f64 b (pow.f64 (sqrt.f64 -3) 2)) 6))))
(fma.f64 -3 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -3/8) (pow.f64 b 3)) (fma.f64 (.f64 (/.f64 c b) a) 3/2 (fma.f64 -3 (/.f64 (fma.f64 1/4 (.f64 (.f64 c a) (.f64 (.f64 c (.f64 c (.f64 a (.f64 a -3)))) -3/8)) (fma.f64 -2 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 81/16) (pow.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -9/8) 2)) (.f64 c (.f64 a 9))) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) 9/16))) (pow.f64 b 5)) (*.f64 (/.f64 b -3) 6))))
(fma.f64 -3 (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -3/8) (pow.f64 b 3)) (fma.f64 (.f64 (/.f64 c b) a) 3/2 (fma.f64 -3 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) 9/16) (fma.f64 1/4 (.f64 (.f64 c a) (.f64 (.f64 (.f64 a a) (.f64 -3 (.f64 c c))) -3/8)) (/.f64 (.f64 (/.f64 -2/9 a) (.f64 (.f64 (pow.f64 a 4) 81) (+.f64 (.f64 (pow.f64 c 4) 1/16) (.f64 (pow.f64 c 4) 1/64)))) c))) (pow.f64 b 5)) (.f64 -2 b))))
(*.f64 -1/2 (/.f64 c b))
(*.f64 -1/2 (/.f64 c b))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -3))))
(neg.f64 (*.f64 (/.f64 1 (sqrt.f64 -3)) (sqrt.f64 (/.f64 c a))))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -3))
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(-.f64 (/.f64 b (*.f64 a -3)) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(-.f64 (/.f64 (/.f64 b -3) a) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(+.f64 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -3)))) (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))))))))
(+.f64 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2))) (fma.f64 -1 (.f64 (/.f64 1 (sqrt.f64 -3)) (sqrt.f64 (/.f64 c a))) (.f64 (.f64 b b) (.f64 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) -1/2))))
(+.f64 (/.f64 b (.f64 a -3)) (-.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 -3 (sqrt.f64 -3))) (.f64 -1/2 (.f64 b b))) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (/.f64 (/.f64 b -3) a) (fma.f64 (.f64 b b) (.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1/6 (sqrt.f64 -3))) (/.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -3))))
(+.f64 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -3)))) (+.f64 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))))) (.f64 -1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))))) (sqrt.f64 -3))))) (pow.f64 b 3))))))
(+.f64 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2))) (fma.f64 -1 (.f64 (/.f64 1 (sqrt.f64 -3)) (sqrt.f64 (/.f64 c a))) (fma.f64 (.f64 b b) (.f64 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) -1/2) (neg.f64 (.f64 (pow.f64 b 3) (-.f64 (/.f64 1/2 (.f64 c (.f64 (pow.f64 (sqrt.f64 -3) 4) (.f64 a a)))) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) -1/2) (sqrt.f64 -3))))))))))
(+.f64 (/.f64 b (.f64 a -3)) (-.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 -3 (sqrt.f64 -3))) (.f64 -1/2 (.f64 b b))) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))) (.f64 (pow.f64 b 3) (+.f64 (/.f64 1/2 (.f64 (.f64 a a) (.f64 9 c))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 -3 (sqrt.f64 -3))) (/.f64 (sqrt.f64 -3) -1/2)))))))
(+.f64 (-.f64 (/.f64 (/.f64 b -3) a) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))) (.f64 (.f64 b b) (-.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1/6 (sqrt.f64 -3))) (.f64 (+.f64 (/.f64 (/.f64 (/.f64 1/18 a) c) a) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) -1/2) 9))) b))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (.f64 -1/2 (/.f64 c b)))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 -1/2 (/.f64 c b) (/.f64 (.f64 (.f64 c (*.f64 c a)) -3/8) (pow.f64 b 3)))
(fma.f64 -1/2 (/.f64 c b) (/.f64 (.f64 c (.f64 c a)) (/.f64 (pow.f64 b 3) -3/8)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 5))) (*.f64 -1/2 (/.f64 c b))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (fma.f64 -1/16 (/.f64 (.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 5)) (.f64 -1/2 (/.f64 c b))))
(+.f64 (/.f64 (.f64 (.f64 c (.f64 c a)) -3/8) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 c b) (.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (*.f64 a 9))))))
(+.f64 (/.f64 (.f64 c (.f64 c a)) (/.f64 (pow.f64 b 3) -3/8)) (fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 -1/16 (pow.f64 b 5)) (.f64 9 (.f64 (.f64 a a) (pow.f64 c 3))))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (+.f64 (.f64 1/128 (/.f64 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 5))) (+.f64 (.f64 1/32 (/.f64 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 7))) (*.f64 -1/2 (/.f64 c b))))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (fma.f64 1/128 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -3) 6)) (pow.f64 b 7)) (fma.f64 -1/16 (/.f64 (.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 5)) (fma.f64 1/32 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -3) 6)) (pow.f64 b 7)) (.f64 -1/2 (/.f64 c b))))))
(+.f64 (/.f64 (.f64 (.f64 c (.f64 c a)) -3/8) (pow.f64 b 3)) (fma.f64 1/128 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (.f64 (pow.f64 a 3) -27)) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a 9))) (fma.f64 -1/2 (/.f64 c b) (/.f64 (.f64 (.f64 1/32 (pow.f64 c 4)) (*.f64 (pow.f64 a 3) -27)) (pow.f64 b 7))))))
(+.f64 (/.f64 (.f64 c (.f64 c a)) (/.f64 (pow.f64 b 3) -3/8)) (fma.f64 1/128 (.f64 (/.f64 (.f64 (pow.f64 a 3) -27) (pow.f64 b 7)) (pow.f64 c 4)) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a 9))) (fma.f64 1/32 (.f64 (/.f64 (.f64 (pow.f64 a 3) -27) (pow.f64 b 7)) (pow.f64 c 4)) (.f64 -1/2 (/.f64 c b))))))
(.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2))))
(/.f64 (.f64 2 b) (.f64 a (pow.f64 (sqrt.f64 -3) 2)))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (/.f64 b -3/2) a)
(+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 1/2 (/.f64 c b)))
(fma.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2))) (.f64 1/2 (/.f64 c b)))
(fma.f64 1/2 (/.f64 c b) (*.f64 -2/3 (/.f64 b a)))
(fma.f64 1/2 (/.f64 c b) (/.f64 (/.f64 b -3/2) a))
(+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 2))))) (pow.f64 b 3))) (.f64 1/2 (/.f64 c b))))
(fma.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2))) (fma.f64 -1 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a (pow.f64 (sqrt.f64 -3) 2))) 1/8) (pow.f64 b 3)) (.f64 1/2 (/.f64 c b))))
(+.f64 (.f64 -2/3 (/.f64 b a)) (-.f64 (.f64 1/2 (/.f64 c b)) (/.f64 (.f64 (.f64 c (*.f64 c a)) -3/8) (pow.f64 b 3))))
(-.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (/.f64 b -3/2) a)) (/.f64 (.f64 c (.f64 c a)) (/.f64 (pow.f64 b 3) -3/8)))
(+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))))) (.f64 1/4 (.f64 c (.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 2))))) (.f64 a (pow.f64 (sqrt.f64 -3) 2))))))) (pow.f64 b 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 2))))) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b)))))
(fma.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2))) (fma.f64 -1 (/.f64 (fma.f64 1/16 (.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 (sqrt.f64 -3) 4)) (fma.f64 -2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8))) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -3) 4) (.f64 a a)))) 2)) (.f64 c (.f64 (pow.f64 (sqrt.f64 -3) 4) (.f64 a a)))) (.f64 1/4 (.f64 c (.f64 (.f64 a (pow.f64 (sqrt.f64 -3) 2)) (.f64 (.f64 (.f64 c c) (.f64 a (pow.f64 (sqrt.f64 -3) 2))) 1/8)))))) (pow.f64 b 5)) (fma.f64 -1 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a (pow.f64 (sqrt.f64 -3) 2))) 1/8) (pow.f64 b 3)) (*.f64 1/2 (/.f64 c b)))))
(+.f64 (.f64 -2/3 (/.f64 b a)) (-.f64 (-.f64 (.f64 1/2 (/.f64 c b)) (/.f64 (.f64 (.f64 c (.f64 c a)) -3/8) (pow.f64 b 3))) (/.f64 (+.f64 (.f64 (.f64 (.f64 a a) (pow.f64 c 3)) 9/16) (fma.f64 1/4 (.f64 c (.f64 -3 (.f64 a (.f64 (.f64 c (.f64 c a)) -3/8)))) (.f64 (/.f64 -2 (.f64 c (.f64 a a))) (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 81/16) (pow.f64 (.f64 (.f64 c (.f64 c (*.f64 a a))) -9/8) 2)) 9)))) (pow.f64 b 5))))
(+.f64 (/.f64 (/.f64 b -3/2) a) (-.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (.f64 (.f64 c (.f64 c a)) 3/8) (pow.f64 b 3))) (/.f64 (+.f64 (.f64 (.f64 (.f64 a a) (pow.f64 c 3)) 9/16) (fma.f64 1/4 (.f64 c (.f64 -3 (.f64 a (.f64 (.f64 c (.f64 c a)) -3/8)))) (/.f64 (/.f64 (.f64 (/.f64 -2/9 a) (.f64 (.f64 (pow.f64 a 4) 81) (+.f64 (.f64 (pow.f64 c 4) 1/16) (*.f64 (pow.f64 c 4) 1/64)))) c) a))) (pow.f64 b 5))))

eval417.0ms (2%)

Compiler: Compiled 17195 to 11389 computations (33.8% saved)

prune197.0ms (0.9%)

Pruning

51 alts after pruning (46 fresh and 5 done)

	Pruned	Kept	Total
New	656	25	681
Fresh	16	21	37
Picked	0	1	1
Done	2	4	6
Total	674	51	725

Error

6.9b

Counts

725 → 51

Alt Table

Click to see full alt table

Status	Error	Program
	57.5b	(*.f64 1/2 (/.f64 c b))
	45.5b	(.f64 (/.f64 (sqrt.f64 (.f64 b -2)) a) (/.f64 (sqrt.f64 (*.f64 b -2)) 3))
	44.8b	(/.f64 (/.f64 (*.f64 b -2/3) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	46.8b	(/.f64 (/.f64 c (/.f64 (/.f64 b -3/2) a)) (*.f64 3 a))
	50.7b	(/.f64 (/.f64 (.f64 c (.f64 a -3)) (.f64 (/.f64 -1/2 b) (.f64 (.f64 c a) -3))) (.f64 3 a))
✓	37.8b	(/.f64 (/.f64 (.f64 c (.f64 a -3)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (*.f64 3 a))
▶	62.3b	(/.f64 (.f64 (.f64 b 2) 1) (*.f64 3 a))
	44.8b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
	45.2b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
	36.5b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (*.f64 (/.f64 1 a) 1/3))
✓	36.5b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
	44.6b	(*.f64 b (/.f64 -2/3 a))
	44.6b	(*.f64 (/.f64 b 3) (/.f64 -2 a))
	63.7b	(fma.f64 (/.f64 b a) 2/3 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 -1/2 (/.f64 c b))))) (sqrt.f64 (log.f64 (.f64 -1/2 (/.f64 c b))))))
	55.3b	(exp.f64 (log.f64 (*.f64 (/.f64 b a) -2/3)))
	58.6b	(.f64 (.f64 b -2) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
	39.8b	(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/6) 3) b) (pow.f64 (.f64 a 3) -1))
	44.6b	(/.f64 1 (/.f64 a (*.f64 b -2/3)))
✓	62.6b	(fma.f64 (/.f64 b a) 2/3 (/.f64 -1/2 (/.f64 b c)))
	44.8b	(.f64 (.f64 b -2) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	44.7b	(*.f64 b (/.f64 1 (/.f64 a -2/3)))
✓	44.6b	(/.f64 (.f64 b -2) (.f64 a 3))
	45.7b	(/.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 3 a))
	46.8b	(/.f64 (/.f64 (.f64 c -3/2) (/.f64 b a)) (.f64 3 a))
	62.3b	(/.f64 b (/.f64 a 2/3))
	63.2b	(fma.f64 (/.f64 b a) 2/3 (pow.f64 (exp.f64 1) (log.f64 (*.f64 -1/2 (/.f64 c b)))))
	44.9b	(.f64 (-.f64 (-.f64 (/.f64 c (/.f64 b (.f64 a 3/2))) b) b) (/.f64 1/3 a))
▶	46.0b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	46.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
	62.3b	(*.f64 2/3 (/.f64 b a))
	46.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
	44.5b	(/.f64 (/.f64 b -3/2) a)
▶	40.6b	(*.f64 -1/2 (/.f64 c b))
	45.9b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
	44.6b	(/.f64 -2/3 (/.f64 a b))
	36.5b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 (/.f64 1 a) 3))
	39.8b	(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/6) 3) b) (/.f64 1/3 a))
	45.6b	(/.f64 (/.f64 (.f64 c (.f64 a -3)) (fma.f64 b 2 (.f64 (/.f64 1/2 b) (.f64 (.f64 c a) -3)))) (.f64 3 a))
	63.2b	(fma.f64 (/.f64 b a) 2/3 (pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b)) 3) 1/3))
▶	36.5b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1 (*.f64 a 3)))
	44.6b	(pow.f64 (*.f64 (/.f64 a b) -3/2) -1)
	46.0b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
	62.3b	(*.f64 b (/.f64 2/3 a))
	51.0b	(neg.f64 (.f64 (/.f64 (.f64 a 3) (.f64 a 3)) (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a 3))))))))
	50.2b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (.f64 (pow.f64 (sqrt.f64 (.f64 a 3)) -1) (pow.f64 (sqrt.f64 (*.f64 a 3)) -1)))
	62.9b	(fma.f64 (/.f64 b a) 2/3 (expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b)))))
	62.6b	(fma.f64 (/.f64 b a) 2/3 (.f64 (.f64 (/.f64 -1/2 b) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c)))
	39.4b	(.f64 (-.f64 (exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 a -3) (.f64 b b))) 1/2)) b) (/.f64 1/3 a))
	44.8b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 b -2)) 2) a) (/.f64 (cbrt.f64 (*.f64 b -2)) 3))
▶	62.7b	(/.f64 (-.f64 (pow.f64 (/.f64 2/3 (/.f64 a b)) 2) (.f64 1/4 (pow.f64 (/.f64 b c) -2))) (-.f64 (/.f64 2/3 (/.f64 a b)) (.f64 -1/2 (/.f64 c b))))
✓	36.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Compiler

Compiled 1523 to 1126 computations (26.1% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (*.f64 a 3))
	0.4b	(+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))
	0.8b	(-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))) b)
	26.3b	(sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b)))

Compiler

Compiled 77 to 44 computations (42.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(/.f64 1 (*.f64 a 3))
0.0ms	a	@	inf	(/.f64 1 (*.f64 a 3))
0.0ms	a	@	-inf	(/.f64 1 (*.f64 a 3))

rewrite51.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

516×	`pow1_binary64`
501×	`add-sqr-sqrt_binary64`
480×	`add-log-exp_binary64`
480×	`log1p-expm1-u_binary64`
480×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	4
2	1361	4

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(/.f64 1 (*.f64 a 3))

Outputs

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

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48

Stop Event

1×

saturated

Counts

34 → 23

Calls

Call 1

Inputs
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)

Outputs
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -1/2 (/.f64 c b))

Compiler

Compiled 14 to 7 computations (50% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	c	@	0	(*.f64 -1/2 (/.f64 c b))
0.0ms	c	@	inf	(*.f64 -1/2 (/.f64 c b))
0.0ms	c	@	-inf	(*.f64 -1/2 (/.f64 c b))
0.0ms	b	@	-inf	(*.f64 -1/2 (/.f64 c b))
0.0ms	b	@	inf	(*.f64 -1/2 (/.f64 c b))

rewrite50.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
594×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1610	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b))

Outputs

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

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 (.f64 b 2) 1) (*.f64 3 a))

Compiler

Compiled 28 to 21 computations (25% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(/.f64 (.f64 (.f64 b 2) 1) (*.f64 3 a))
0.0ms	a	@	0	(/.f64 (.f64 (.f64 b 2) 1) (*.f64 3 a))
0.0ms	b	@	inf	(/.f64 (.f64 (.f64 b 2) 1) (*.f64 3 a))
0.0ms	b	@	-inf	(/.f64 (.f64 (.f64 b 2) 1) (*.f64 3 a))
0.0ms	a	@	inf	(/.f64 (.f64 (.f64 b 2) 1) (*.f64 3 a))

rewrite60.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

889×	`pow1_binary64`
831×	`add-log-exp_binary64`
830×	`log1p-expm1-u_binary64`
830×	`expm1-log1p-u_binary64`
816×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	211	7
2	2330	7

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 b 2) 1) (*.f64 3 a))

Outputs

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

simplify31.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

78 → 54

Calls

Call 1

Inputs
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))

Outputs
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	0.2b	(.f64 c (.f64 a -3))
	0.3b	(/.f64 1/3 a)
	15.6b	(sqrt.f64 (.f64 c (.f64 a -3)))

Compiler

Compiled 45 to 29 computations (35.6% saved)

series10.0ms (0%)

Counts

1 → 14

Calls

9 calls:

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

rewrite69.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`prod-diff_binary64`
642×	`log-prod_binary64`
372×	`fma-def_binary64`
235×	`pow1/3_binary64`
232×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	263	18
2	3457	18

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

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

Outputs

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

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`fma-def_binary64`
8×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
2×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	231
1	24	231
2	39	231
3	49	231
4	51	231
5	52	231

Stop Event

1×

saturated

Counts

64 → 56

Calls

Call 1

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

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

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (/.f64 b c) -2)
✓	0.3b	(/.f64 2/3 (/.f64 a b))
✓	1.4b	(-.f64 (pow.f64 (/.f64 2/3 (/.f64 a b)) 2) (*.f64 1/4 (pow.f64 (/.f64 b c) -2)))
✓	31.5b	(/.f64 (-.f64 (pow.f64 (/.f64 2/3 (/.f64 a b)) 2) (.f64 1/4 (pow.f64 (/.f64 b c) -2))) (-.f64 (/.f64 2/3 (/.f64 a b)) (.f64 -1/2 (/.f64 c b))))

Compiler

Compiled 102 to 54 computations (47.1% saved)

series41.0ms (0.2%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
19.0ms	b	@	0	(/.f64 (-.f64 (pow.f64 (/.f64 2/3 (/.f64 a b)) 2) (.f64 1/4 (pow.f64 (/.f64 b c) -2))) (-.f64 (/.f64 2/3 (/.f64 a b)) (.f64 -1/2 (/.f64 c b))))
4.0ms	c	@	-inf	(pow.f64 (/.f64 b c) -2)
1.0ms	a	@	0	(/.f64 (-.f64 (pow.f64 (/.f64 2/3 (/.f64 a b)) 2) (.f64 1/4 (pow.f64 (/.f64 b c) -2))) (-.f64 (/.f64 2/3 (/.f64 a b)) (.f64 -1/2 (/.f64 c b))))
1.0ms	c	@	inf	(/.f64 (-.f64 (pow.f64 (/.f64 2/3 (/.f64 a b)) 2) (.f64 1/4 (pow.f64 (/.f64 b c) -2))) (-.f64 (/.f64 2/3 (/.f64 a b)) (.f64 -1/2 (/.f64 c b))))
1.0ms	b	@	inf	(/.f64 (-.f64 (pow.f64 (/.f64 2/3 (/.f64 a b)) 2) (.f64 1/4 (pow.f64 (/.f64 b c) -2))) (-.f64 (/.f64 2/3 (/.f64 a b)) (.f64 -1/2 (/.f64 c b))))

rewrite109.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

349×	`expm1-udef_binary64`
349×	`log1p-udef_binary64`
234×	`add-sqr-sqrt_binary64`
223×	`pow1_binary64`
222×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	76
1	471	45
2	6895	45

Stop Event

1×	node limit

Counts

4 → 180

Calls

Call 1

Inputs
(/.f64 (-.f64 (pow.f64 (/.f64 2/3 (/.f64 a b)) 2) (.f64 1/4 (pow.f64 (/.f64 b c) -2))) (-.f64 (/.f64 2/3 (/.f64 a b)) (.f64 -1/2 (/.f64 c b))))
(-.f64 (pow.f64 (/.f64 2/3 (/.f64 a b)) 2) (*.f64 1/4 (pow.f64 (/.f64 b c) -2)))
(/.f64 2/3 (/.f64 a b))
(pow.f64 (/.f64 b c) -2)

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

simplify87.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

719×	`associate-/l/_binary64`
711×	`associate-*l/_binary64`
660×	`unswap-sqr_binary64`
643×	`associate-l_binary64`
594×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	1668
1	49	1668
2	104	1668
3	301	1668
4	1545	1668
5	6987	1668

Stop Event

1×	node limit

Counts

300 → 192

Calls

Call 1

Inputs
(*.f64 2/3 (/.f64 b a))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(*.f64 2/3 (/.f64 b a))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(*.f64 2/3 (/.f64 b a))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(*.f64 2/3 (/.f64 b a))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(*.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(*.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(*.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(*.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(*.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(+.f64 (.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 2))))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))

Outputs
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(/.f64 2/3 (/.f64 a b))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 -1/2 (/.f64 c b) (/.f64 (*.f64 2/3 b) a))
(fma.f64 -1/2 (/.f64 c b) (/.f64 2/3 (/.f64 a b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 -1/2 (/.f64 c b) (/.f64 (*.f64 2/3 b) a))
(fma.f64 -1/2 (/.f64 c b) (/.f64 2/3 (/.f64 a b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 -1/2 (/.f64 c b) (/.f64 (*.f64 2/3 b) a))
(fma.f64 -1/2 (/.f64 c b) (/.f64 2/3 (/.f64 a b)))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 -1/2 (/.f64 c b) (/.f64 (*.f64 2/3 b) a))
(fma.f64 -1/2 (/.f64 c b) (/.f64 2/3 (/.f64 a b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
(fma.f64 2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))
(fma.f64 -1/2 (/.f64 c b) (/.f64 (*.f64 2/3 b) a))
(fma.f64 -1/2 (/.f64 c b) (/.f64 2/3 (/.f64 a b)))
(+.f64 (.f64 2/3 (/.f64 b a)) (.f64 -1/2 (/.f64 c b)))
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(/.f64 (.f64 c c) (.f64 b b))
(/.f64 (/.f64 (*.f64 c c) b) b)
(*.f64 (/.f64 c b) (/.f64 c b))
(.f64 c (/.f64 c (.f64 b b)))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (.f64 c c) (.f64 b b))
(/.f64 (/.f64 (*.f64 c c) b) b)
(*.f64 (/.f64 c b) (/.f64 c b))
(.f64 c (/.f64 c (.f64 b b)))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (.f64 c c) (.f64 b b))
(/.f64 (/.f64 (*.f64 c c) b) b)
(*.f64 (/.f64 c b) (/.f64 c b))
(.f64 c (/.f64 c (.f64 b b)))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (.f64 c c) (.f64 b b))
(/.f64 (/.f64 (*.f64 c c) b) b)
(*.f64 (/.f64 c b) (/.f64 c b))
(.f64 c (/.f64 c (.f64 b b)))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (.f64 c c) (.f64 b b))
(/.f64 (/.f64 (*.f64 c c) b) b)
(*.f64 (/.f64 c b) (/.f64 c b))
(.f64 c (/.f64 c (.f64 b b)))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (.f64 c c) (.f64 b b))
(/.f64 (/.f64 (*.f64 c c) b) b)
(*.f64 (/.f64 c b) (/.f64 c b))
(.f64 c (/.f64 c (.f64 b b)))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (.f64 c c) (.f64 b b))
(/.f64 (/.f64 (*.f64 c c) b) b)
(*.f64 (/.f64 c b) (/.f64 c b))
(.f64 c (/.f64 c (.f64 b b)))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (.f64 c c) (.f64 b b))
(/.f64 (/.f64 (*.f64 c c) b) b)
(*.f64 (/.f64 c b) (/.f64 c b))
(.f64 c (/.f64 c (.f64 b b)))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (.f64 c c) (.f64 b b))
(/.f64 (/.f64 (*.f64 c c) b) b)
(*.f64 (/.f64 c b) (/.f64 c b))
(.f64 c (/.f64 c (.f64 b b)))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (.f64 c c) (.f64 b b))
(/.f64 (/.f64 (*.f64 c c) b) b)
(*.f64 (/.f64 c b) (/.f64 c b))
(.f64 c (/.f64 c (.f64 b b)))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (.f64 c c) (.f64 b b))
(/.f64 (/.f64 (*.f64 c c) b) b)
(*.f64 (/.f64 c b) (/.f64 c b))
(.f64 c (/.f64 c (.f64 b b)))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (.f64 c c) (.f64 b b))
(/.f64 (/.f64 (*.f64 c c) b) b)
(*.f64 (/.f64 c b) (/.f64 c b))
(.f64 c (/.f64 c (.f64 b b)))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (.f64 c c) (.f64 b b))
(/.f64 (/.f64 (*.f64 c c) b) b)
(*.f64 (/.f64 c b) (/.f64 c b))
(.f64 c (/.f64 c (.f64 b b)))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (.f64 c c) (.f64 b b))
(/.f64 (/.f64 (*.f64 c c) b) b)
(*.f64 (/.f64 c b) (/.f64 c b))
(.f64 c (/.f64 c (.f64 b b)))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (.f64 c c) (.f64 b b))
(/.f64 (/.f64 (*.f64 c c) b) b)
(*.f64 (/.f64 c b) (/.f64 c b))
(.f64 c (/.f64 c (.f64 b b)))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (.f64 c c) (.f64 b b))
(/.f64 (/.f64 (*.f64 c c) b) b)
(*.f64 (/.f64 c b) (/.f64 c b))
(.f64 c (/.f64 c (.f64 b b)))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (.f64 c c) (.f64 b b))
(/.f64 (/.f64 (*.f64 c c) b) b)
(*.f64 (/.f64 c b) (/.f64 c b))
(.f64 c (/.f64 c (.f64 b b)))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (.f64 c c) (.f64 b b))
(/.f64 (/.f64 (*.f64 c c) b) b)
(*.f64 (/.f64 c b) (/.f64 c b))
(.f64 c (/.f64 c (.f64 b b)))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (.f64 c c) (.f64 b b))
(/.f64 (/.f64 (*.f64 c c) b) b)
(*.f64 (/.f64 c b) (/.f64 c b))
(.f64 c (/.f64 c (.f64 b b)))
(/.f64 (pow.f64 c 2) (pow.f64 b 2))
(/.f64 (.f64 c c) (.f64 b b))
(/.f64 (/.f64 (*.f64 c c) b) b)
(*.f64 (/.f64 c b) (/.f64 c b))
(.f64 c (/.f64 c (.f64 b b)))

eval581.0ms (2.8%)

Compiler: Compiled 17133 to 10572 computations (38.3% saved)

prune200.0ms (0.9%)

Pruning

66 alts after pruning (62 fresh and 4 done)

	Pruned	Kept	Total
New	668	29	697
Fresh	8	33	41
Picked	1	0	1
Done	5	4	9
Total	682	66	748

Error

6.9b

Counts

748 → 66

Alt Table

Click to see full alt table

Status	Error	Program
	57.5b	(*.f64 1/2 (/.f64 c b))
	45.5b	(.f64 (/.f64 (sqrt.f64 (.f64 b -2)) a) (/.f64 (sqrt.f64 (*.f64 b -2)) 3))
	44.8b	(/.f64 (/.f64 (*.f64 b -2/3) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	46.8b	(/.f64 (/.f64 c (/.f64 (/.f64 b -3/2) a)) (*.f64 3 a))
	50.7b	(/.f64 (/.f64 (.f64 c (.f64 a -3)) (.f64 (/.f64 -1/2 b) (.f64 (.f64 c a) -3))) (.f64 3 a))
	44.8b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 b -2)) 2) a) (/.f64 (cbrt.f64 (*.f64 b -2)) 3))
	60.9b	(.f64 (/.f64 2 (cbrt.f64 (.f64 (.f64 a a) 9))) (/.f64 b (cbrt.f64 (.f64 3 a))))
	40.6b	(/.f64 (*.f64 -1/2 c) b)
	44.8b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
	45.2b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
	50.6b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
✓	36.5b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
	41.4b	(/.f64 -1/2 (/.f64 b c))
	55.3b	(exp.f64 (log.f64 (*.f64 (/.f64 b a) -2/3)))
	44.6b	(*.f64 b (/.f64 -2/3 a))
	44.6b	(*.f64 (/.f64 b 3) (/.f64 -2 a))
	62.3b	(pow.f64 (*.f64 (/.f64 a b) 3/2) -1)
	62.3b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 b 2)) 2) a) (/.f64 (cbrt.f64 (*.f64 b 2)) 3))
	63.7b	(fma.f64 (/.f64 b a) 2/3 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 -1/2 (/.f64 c b))))) (sqrt.f64 (log.f64 (.f64 -1/2 (/.f64 c b))))))
	43.1b	(expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b))))
	58.6b	(.f64 (.f64 b -2) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
	44.6b	(/.f64 1 (/.f64 a (*.f64 b -2/3)))
	62.3b	(/.f64 2/3 (/.f64 a b))
	44.7b	(*.f64 b (/.f64 1 (/.f64 a -2/3)))
	44.8b	(.f64 (.f64 b -2) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
✓	44.6b	(/.f64 (.f64 b -2) (.f64 a 3))
	62.8b	(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (/.f64 b a) (.f64 -1/2 (/.f64 c b)))) 2) 3) (-.f64 (/.f64 2/3 (/.f64 a b)) (.f64 -1/2 (/.f64 c b))))
	62.5b	(pow.f64 (pow.f64 (*.f64 2/3 (/.f64 b a)) 3) 1/3)
	46.8b	(/.f64 (/.f64 (.f64 c -3/2) (/.f64 b a)) (.f64 3 a))
	45.7b	(/.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 3 a))
	46.8b	(/.f64 (.f64 (/.f64 1/3 a) (-.f64 (.f64 -3 (.f64 c a)) (.f64 b b))) (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b))
	62.3b	(/.f64 b (/.f64 a 2/3))
	63.2b	(fma.f64 (/.f64 b a) 2/3 (pow.f64 (exp.f64 1) (log.f64 (*.f64 -1/2 (/.f64 c b)))))
	44.9b	(.f64 (-.f64 (-.f64 (/.f64 c (/.f64 b (.f64 a 3/2))) b) b) (/.f64 1/3 a))
	46.0b	(.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 (/.f64 1 a) 1/3))
	46.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
✓	46.0b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	62.9b	(/.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 2/3 (/.f64 b a) (.f64 -1/2 (/.f64 c b))) 2) 3) 1/3) (-.f64 (/.f64 2/3 (/.f64 a b)) (.f64 -1/2 (/.f64 c b))))
	39.8b	(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/6) 3) b) (/.f64 1 (.f64 a 3)))
	62.3b	(*.f64 (/.f64 b a) 2/3)
	62.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 b 2)) 2) (.f64 (cbrt.f64 (.f64 b 2)) (/.f64 1/3 a)))
	41.0b	(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 3)
	44.5b	(/.f64 (/.f64 b -3/2) a)
	55.5b	(pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b)) 3) 1/3)
	45.9b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
	44.6b	(/.f64 -2/3 (/.f64 a b))
	36.5b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 (/.f64 1 a) 3))
	62.7b	(/.f64 (/.f64 (pow.f64 (fma.f64 2/3 (/.f64 b a) (.f64 -1/2 (/.f64 c b))) 3) (fma.f64 2/3 (/.f64 b a) (.f64 -1/2 (/.f64 c b)))) (-.f64 (/.f64 2/3 (/.f64 a b)) (*.f64 -1/2 (/.f64 c b))))
	62.3b	(*.f64 (/.f64 b 3) (/.f64 2 a))
	39.8b	(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/6) 3) b) (/.f64 1/3 a))
	63.4b	(/.f64 (-.f64 (pow.f64 (/.f64 2/3 (/.f64 a b)) 2) (.f64 1/4 (exp.f64 (.f64 -2 (log.f64 (/.f64 b c)))))) (-.f64 (/.f64 2/3 (/.f64 a b)) (*.f64 -1/2 (/.f64 c b))))
	46.0b	(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) 1/3) a)
	45.6b	(/.f64 (/.f64 (.f64 c (.f64 a -3)) (fma.f64 b 2 (.f64 (/.f64 1/2 b) (.f64 (.f64 c a) -3)))) (.f64 3 a))
✓	36.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	63.0b	(exp.f64 (log.f64 (*.f64 2/3 (/.f64 b a))))
	46.0b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
	46.0b	(/.f64 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) 1/3)))
	62.3b	(.f64 2 (/.f64 b (.f64 3 a)))
	62.3b	(*.f64 b (/.f64 2/3 a))
	46.0b	(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (*.f64 a 3))
	62.6b	(cbrt.f64 (/.f64 (pow.f64 (.f64 b 2) 3) (pow.f64 (.f64 3 a) 3)))
	62.8b	(/.f64 (/.f64 1 (.f64 (/.f64 1 (fma.f64 2/3 (/.f64 b a) (.f64 -1/2 (/.f64 c b)))) (/.f64 1 (fma.f64 2/3 (/.f64 b a) (.f64 -1/2 (/.f64 c b)))))) (-.f64 (/.f64 2/3 (/.f64 a b)) (.f64 -1/2 (/.f64 c b))))
	62.6b	(fma.f64 (/.f64 b a) 2/3 (.f64 (.f64 (/.f64 -1/2 b) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c)))
	39.4b	(.f64 (-.f64 (exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 a -3) (.f64 b b))) 1/2)) b) (/.f64 1/3 a))
	44.6b	(pow.f64 (*.f64 (/.f64 a b) -3/2) -1)
	62.8b	(/.f64 (/.f64 (fma.f64 2/3 (/.f64 b a) (.f64 -1/2 (/.f64 c b))) (/.f64 1 (fma.f64 2/3 (/.f64 b a) (.f64 -1/2 (/.f64 c b))))) (-.f64 (/.f64 2/3 (/.f64 a b)) (*.f64 -1/2 (/.f64 c b))))

Compiler

Compiled 1070 to 786 computations (26.5% saved)

regimes4.1s (19.4%)

Counts

117 → 3

Calls

Call 1

Inputs
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(/.f64 2/3 (/.f64 a b))
(*.f64 (/.f64 b a) 2/3)
(/.f64 (/.f64 b -3/2) a)
(*.f64 -1/2 (/.f64 c b))
(/.f64 -2/3 (/.f64 a b))
(*.f64 b (/.f64 2/3 a))
(*.f64 1/2 (/.f64 c b))
(*.f64 b (/.f64 -2/3 a))
(/.f64 (*.f64 b -2/3) a)
(/.f64 b (/.f64 a 2/3))
(*.f64 -2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(/.f64 1/2 (/.f64 b c))
(*.f64 c (/.f64 1/2 b))
(*.f64 (/.f64 b 3) (/.f64 2 a))
(.f64 2 (/.f64 b (.f64 3 a)))
(*.f64 (/.f64 b 3) (/.f64 -2 a))
(*.f64 b (/.f64 1 (/.f64 a -2/3)))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(/.f64 1 (/.f64 a (*.f64 b -2/3)))
(/.f64 (.f64 b -2) (.f64 a 3))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(.f64 (.f64 b -2) (/.f64 1/3 a))
(/.f64 (.f64 b -2) (.f64 3 a))
(/.f64 (.f64 (.f64 b 2) 1) (*.f64 3 a))
(/.f64 (/.f64 c (/.f64 (/.f64 b -3/2) a)) (*.f64 3 a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(/.f64 (/.f64 (.f64 c -3/2) (/.f64 b a)) (.f64 3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 3 a))
(.f64 (-.f64 (-.f64 (/.f64 c (/.f64 b (.f64 a 3/2))) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(/.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 3 a))
(/.f64 (/.f64 (.f64 c (.f64 a -3)) (.f64 (/.f64 -1/2 b) (.f64 (.f64 c a) -3))) (.f64 3 a))
(pow.f64 (*.f64 (/.f64 a b) 3/2) -1)
(pow.f64 (*.f64 (/.f64 a b) -3/2) -1)
(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
(fma.f64 (/.f64 b a) 2/3 (/.f64 -1/2 (/.f64 b c)))
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) 1/3) a)
(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (*.f64 a 3))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 (/.f64 1 a) 1/3))
(/.f64 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) 1/3)))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (*.f64 (/.f64 1 a) 1/3))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 (/.f64 1 a) 3))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1 (*.f64 a 3)))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (*.f64 (/.f64 1 a) 1/3))
(/.f64 (.f64 (/.f64 1/3 a) (-.f64 (.f64 -3 (.f64 c a)) (.f64 b b))) (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b))
(/.f64 (/.f64 (.f64 c (.f64 a -3)) (fma.f64 b 2 (.f64 (/.f64 1/2 b) (.f64 (.f64 c a) -3)))) (.f64 3 a))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b))))
(exp.f64 (log.f64 (*.f64 2/3 (/.f64 b a))))
(exp.f64 (log.f64 (*.f64 (/.f64 b a) -2/3)))
(exp.f64 (log.f64 (*.f64 b (/.f64 -2/3 a))))
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 3)
(pow.f64 (pow.f64 (*.f64 2/3 (/.f64 b a)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b)) 3) 1/3)
(.f64 (.f64 b -2) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
(.f64 (.f64 b -2) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
(.f64 (/.f64 (sqrt.f64 (.f64 b -2)) a) (/.f64 (sqrt.f64 (*.f64 b -2)) 3))
(.f64 (/.f64 2 (cbrt.f64 (.f64 (.f64 a a) 9))) (/.f64 b (cbrt.f64 (.f64 3 a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
(.f64 (/.f64 1 a) (.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (/.f64 a 1/3))) b)) 1/3))
(/.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 1) (.f64 3 a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (/.f64 1 a) 1/3))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (pow.f64 (*.f64 a 3) -1))
(/.f64 (/.f64 (.f64 c (.f64 a -3)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (*.f64 3 a))
(neg.f64 (.f64 (/.f64 (.f64 a 3) (.f64 a 3)) (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a 3))))))))
(/.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) (/.f64 (.f64 a (.f64 a (.f64 c c))) (/.f64 (pow.f64 b 3) -9/8))) (*.f64 3 a))
(/.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) (/.f64 -9/8 (/.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 c a))) a))) (.f64 3 a))
(/.f64 (-.f64 (pow.f64 (/.f64 2/3 (/.f64 a b)) 2) (.f64 1/4 (pow.f64 (/.f64 b c) -2))) (-.f64 (/.f64 2/3 (/.f64 a b)) (.f64 -1/2 (/.f64 c b))))
(/.f64 (/.f64 (fma.f64 2/3 (/.f64 b a) (.f64 -1/2 (/.f64 c b))) (/.f64 1 (fma.f64 2/3 (/.f64 b a) (.f64 -1/2 (/.f64 c b))))) (-.f64 (/.f64 2/3 (/.f64 a b)) (*.f64 -1/2 (/.f64 c b))))
(/.f64 (/.f64 1 (.f64 (/.f64 1 (fma.f64 2/3 (/.f64 b a) (.f64 -1/2 (/.f64 c b)))) (/.f64 1 (fma.f64 2/3 (/.f64 b a) (.f64 -1/2 (/.f64 c b)))))) (-.f64 (/.f64 2/3 (/.f64 a b)) (.f64 -1/2 (/.f64 c b))))
(/.f64 (/.f64 (*.f64 b -2/3) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(cbrt.f64 (/.f64 (pow.f64 (.f64 b 2) 3) (pow.f64 (.f64 3 a) 3)))
(fma.f64 (/.f64 b a) 2/3 (expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b)))))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
(fma.f64 (/.f64 b a) 2/3 (pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b)) 3) 1/3))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 b 2)) 2) a) (/.f64 (cbrt.f64 (*.f64 b 2)) 3))
(.f64 (pow.f64 (cbrt.f64 (.f64 b 2)) 2) (.f64 (cbrt.f64 (.f64 b 2)) (/.f64 1/3 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 b -2)) 2) a) (/.f64 (cbrt.f64 (*.f64 b -2)) 3))
(.f64 (-.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -3) (*.f64 b b))) 3/2) b) (/.f64 1/3 a))
(.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 3/2)) b) (/.f64 1/3 a))
(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/6) 3) b) (/.f64 1/3 a))
(.f64 (-.f64 (exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 a -3) (.f64 b b))) 1/2)) b) (/.f64 1/3 a))
(.f64 (-.f64 (exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 a -3) (.f64 b b))) 1/2)) b) (/.f64 1/3 a))
(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/4) 2) b) (/.f64 1/3 a))
(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/6) 3) b) (/.f64 1 (.f64 a 3)))
(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (.f64 3 a))
(/.f64 (-.f64 (pow.f64 (/.f64 2/3 (/.f64 a b)) 2) (.f64 1/4 (exp.f64 (.f64 -2 (log.f64 (/.f64 b c)))))) (-.f64 (/.f64 2/3 (/.f64 a b)) (*.f64 -1/2 (/.f64 c b))))
(/.f64 (/.f64 (pow.f64 (fma.f64 2/3 (/.f64 b a) (.f64 -1/2 (/.f64 c b))) 3) (fma.f64 2/3 (/.f64 b a) (.f64 -1/2 (/.f64 c b)))) (-.f64 (/.f64 2/3 (/.f64 a b)) (*.f64 -1/2 (/.f64 c b))))
(fma.f64 (/.f64 b a) 2/3 (pow.f64 (exp.f64 1) (log.f64 (*.f64 -1/2 (/.f64 c b)))))
(fma.f64 (/.f64 b a) 2/3 (.f64 (.f64 (/.f64 -1/2 b) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c)))
(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
(.f64 (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -3) (*.f64 b b))) 3)) b) (/.f64 1/3 a))
(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/6) 3) b) (pow.f64 (.f64 a 3) -1))
(.f64 (-.f64 (.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/6) (cbrt.f64 (fma.f64 c (.f64 a -3) (.f64 b b)))) b) (/.f64 1/3 a))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (/.f64 b a) (.f64 -1/2 (/.f64 c b)))) 2) 3) (-.f64 (/.f64 2/3 (/.f64 a b)) (.f64 -1/2 (/.f64 c b))))
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 c (.f64 a -3) (.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (*.f64 3 a))
(/.f64 (/.f64 (fma.f64 b b (fma.f64 c (.f64 a -3) (.f64 b (neg.f64 b)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (*.f64 3 a))
(/.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 2/3 (/.f64 b a) (.f64 -1/2 (/.f64 c b))) 2) 3) 1/3) (-.f64 (/.f64 2/3 (/.f64 a b)) (.f64 -1/2 (/.f64 c b))))
(.f64 (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (.f64 (pow.f64 (sqrt.f64 (.f64 a 3)) -1) (pow.f64 (sqrt.f64 (*.f64 a 3)) -1)))
(.f64 (fma.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/4) (neg.f64 b)) (/.f64 1/3 a))
(/.f64 (/.f64 (fma.f64 (.f64 (neg.f64 b) (sqrt.f64 b)) (sqrt.f64 b) (fma.f64 c (.f64 a -3) (.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (.f64 3 a))
(fma.f64 (/.f64 b a) 2/3 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 -1/2 (/.f64 c b))))) (sqrt.f64 (log.f64 (.f64 -1/2 (/.f64 c b))))))
(/.f64 (/.f64 (fma.f64 (.f64 b (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (fma.f64 c (.f64 a -3) (.f64 b (neg.f64 b)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (.f64 3 a))

Outputs
(/.f64 (/.f64 b -3/2) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(/.f64 (*.f64 -1/2 c) b)

Calls

6 calls:

1.1s	(*.f64 3 a)
944.0ms	a
852.0ms	(*.f64 3 a)
737.0ms	c
219.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Results

Error	Segments	Branch
25.3b	10	`a`
11.1b	3	`b`
30.1b	8	`c`
15.8b	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
25.3b	10	`(*.f64 3 a)`
25.3b	10	`(*.f64 3 a)`

Compiler

Compiled 1735 to 1049 computations (39.5% saved)

bsearch237.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
150.0ms	7.433584621236147e-26	5.327900929299429e-25
87.0ms	-3.0204578093740544e+84	-8.782224681401411e+83

Compiler

Compiled 356 to 261 computations (26.7% saved)

regimes1.3s (6.1%)

Counts

52 → 3

Calls

Call 1

Inputs
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(/.f64 2/3 (/.f64 a b))
(*.f64 (/.f64 b a) 2/3)
(/.f64 (/.f64 b -3/2) a)
(*.f64 -1/2 (/.f64 c b))
(/.f64 -2/3 (/.f64 a b))
(*.f64 b (/.f64 2/3 a))
(*.f64 1/2 (/.f64 c b))
(*.f64 b (/.f64 -2/3 a))
(/.f64 (*.f64 b -2/3) a)
(/.f64 b (/.f64 a 2/3))
(*.f64 -2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(/.f64 1/2 (/.f64 b c))
(*.f64 c (/.f64 1/2 b))
(*.f64 (/.f64 b 3) (/.f64 2 a))
(.f64 2 (/.f64 b (.f64 3 a)))
(*.f64 (/.f64 b 3) (/.f64 -2 a))
(*.f64 b (/.f64 1 (/.f64 a -2/3)))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(/.f64 1 (/.f64 a (*.f64 b -2/3)))
(/.f64 (.f64 b -2) (.f64 a 3))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(.f64 (.f64 b -2) (/.f64 1/3 a))
(/.f64 (.f64 b -2) (.f64 3 a))
(/.f64 (.f64 (.f64 b 2) 1) (*.f64 3 a))
(/.f64 (/.f64 c (/.f64 (/.f64 b -3/2) a)) (*.f64 3 a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(/.f64 (/.f64 (.f64 c -3/2) (/.f64 b a)) (.f64 3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 3 a))
(.f64 (-.f64 (-.f64 (/.f64 c (/.f64 b (.f64 a 3/2))) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(/.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 3 a))
(/.f64 (/.f64 (.f64 c (.f64 a -3)) (.f64 (/.f64 -1/2 b) (.f64 (.f64 c a) -3))) (.f64 3 a))
(pow.f64 (*.f64 (/.f64 a b) 3/2) -1)
(pow.f64 (*.f64 (/.f64 a b) -3/2) -1)
(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
(fma.f64 (/.f64 b a) 2/3 (/.f64 -1/2 (/.f64 b c)))
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) 1/3) a)
(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (*.f64 a 3))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 (/.f64 1 a) 1/3))
(/.f64 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) 1/3)))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))

Outputs
(/.f64 (/.f64 b -3/2) a)
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
(/.f64 (*.f64 -1/2 c) b)

Calls

5 calls:

421.0ms	c
352.0ms	(*.f64 3 a)
234.0ms	(*.f64 3 a)
184.0ms	a
79.0ms	b

Results

Error	Segments	Branch
29.3b	7	`a`
11.2b	3	`b`
29.6b	10	`c`
29.3b	7	`(*.f64 3 a)`
29.3b	7	`(*.f64 3 a)`

Compiler

Compiled 490 to 298 computations (39.2% saved)

bsearch329.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
210.0ms	7.433584621236147e-26	5.327900929299429e-25
118.0ms	-1.832622660781096e+95	-3.0204578093740544e+84

Compiler

Compiled 490 to 355 computations (27.6% saved)

regimes1.2s (5.7%)

Counts

51 → 3

Calls

Call 1

Inputs
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(/.f64 2/3 (/.f64 a b))
(*.f64 (/.f64 b a) 2/3)
(/.f64 (/.f64 b -3/2) a)
(*.f64 -1/2 (/.f64 c b))
(/.f64 -2/3 (/.f64 a b))
(*.f64 b (/.f64 2/3 a))
(*.f64 1/2 (/.f64 c b))
(*.f64 b (/.f64 -2/3 a))
(/.f64 (*.f64 b -2/3) a)
(/.f64 b (/.f64 a 2/3))
(*.f64 -2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(/.f64 1/2 (/.f64 b c))
(*.f64 c (/.f64 1/2 b))
(*.f64 (/.f64 b 3) (/.f64 2 a))
(.f64 2 (/.f64 b (.f64 3 a)))
(*.f64 (/.f64 b 3) (/.f64 -2 a))
(*.f64 b (/.f64 1 (/.f64 a -2/3)))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(/.f64 1 (/.f64 a (*.f64 b -2/3)))
(/.f64 (.f64 b -2) (.f64 a 3))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(.f64 (.f64 b -2) (/.f64 1/3 a))
(/.f64 (.f64 b -2) (.f64 3 a))
(/.f64 (.f64 (.f64 b 2) 1) (*.f64 3 a))
(/.f64 (/.f64 c (/.f64 (/.f64 b -3/2) a)) (*.f64 3 a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(/.f64 (/.f64 (.f64 c -3/2) (/.f64 b a)) (.f64 3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 3 a))
(.f64 (-.f64 (-.f64 (/.f64 c (/.f64 b (.f64 a 3/2))) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(/.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 3 a))
(/.f64 (/.f64 (.f64 c (.f64 a -3)) (.f64 (/.f64 -1/2 b) (.f64 (.f64 c a) -3))) (.f64 3 a))
(pow.f64 (*.f64 (/.f64 a b) 3/2) -1)
(pow.f64 (*.f64 (/.f64 a b) -3/2) -1)
(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
(fma.f64 (/.f64 b a) 2/3 (/.f64 -1/2 (/.f64 b c)))
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) 1/3) a)
(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (*.f64 a 3))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 (/.f64 1 a) 1/3))
(/.f64 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) 1/3)))

Outputs
(/.f64 (/.f64 b -3/2) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
(/.f64 (*.f64 -1/2 c) b)

Calls

5 calls:

444.0ms	(*.f64 3 a)
254.0ms	c
216.0ms	(*.f64 3 a)
204.0ms	a
79.0ms	b

Results

Error	Segments	Branch
32.5b	8	`a`
14.6b	3	`b`
33.5b	10	`c`
32.5b	8	`(*.f64 3 a)`
32.5b	8	`(*.f64 3 a)`

Compiler

Compiled 474 to 288 computations (39.2% saved)

bsearch176.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
146.0ms	7.433584621236147e-26	5.327900929299429e-25
30.0ms	-1.27187114696786e-164	-6.001061881899384e-165

Compiler

Compiled 312 to 239 computations (23.4% saved)

regimes902.0ms (4.3%)

Counts

47 → 3

Calls

Call 1

Inputs
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(/.f64 2/3 (/.f64 a b))
(*.f64 (/.f64 b a) 2/3)
(/.f64 (/.f64 b -3/2) a)
(*.f64 -1/2 (/.f64 c b))
(/.f64 -2/3 (/.f64 a b))
(*.f64 b (/.f64 2/3 a))
(*.f64 1/2 (/.f64 c b))
(*.f64 b (/.f64 -2/3 a))
(/.f64 (*.f64 b -2/3) a)
(/.f64 b (/.f64 a 2/3))
(*.f64 -2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(/.f64 1/2 (/.f64 b c))
(*.f64 c (/.f64 1/2 b))
(*.f64 (/.f64 b 3) (/.f64 2 a))
(.f64 2 (/.f64 b (.f64 3 a)))
(*.f64 (/.f64 b 3) (/.f64 -2 a))
(*.f64 b (/.f64 1 (/.f64 a -2/3)))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(/.f64 1 (/.f64 a (*.f64 b -2/3)))
(/.f64 (.f64 b -2) (.f64 a 3))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(.f64 (.f64 b -2) (/.f64 1/3 a))
(/.f64 (.f64 b -2) (.f64 3 a))
(/.f64 (.f64 (.f64 b 2) 1) (*.f64 3 a))
(/.f64 (/.f64 c (/.f64 (/.f64 b -3/2) a)) (*.f64 3 a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(/.f64 (/.f64 (.f64 c -3/2) (/.f64 b a)) (.f64 3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 3 a))
(.f64 (-.f64 (-.f64 (/.f64 c (/.f64 b (.f64 a 3/2))) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(/.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 3 a))
(/.f64 (/.f64 (.f64 c (.f64 a -3)) (.f64 (/.f64 -1/2 b) (.f64 (.f64 c a) -3))) (.f64 3 a))
(pow.f64 (*.f64 (/.f64 a b) 3/2) -1)
(pow.f64 (*.f64 (/.f64 a b) -3/2) -1)
(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
(fma.f64 (/.f64 b a) 2/3 (/.f64 -1/2 (/.f64 b c)))
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) 1/3) a)
(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (*.f64 a 3))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))

Outputs
(/.f64 (/.f64 b -3/2) a)
(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (*.f64 a 3))
(/.f64 (*.f64 -1/2 c) b)

Calls

5 calls:

230.0ms	a
223.0ms	c
193.0ms	(*.f64 3 a)
174.0ms	(*.f64 3 a)
64.0ms	b

Results

Error	Segments	Branch
32.5b	8	`a`
14.7b	3	`b`
33.5b	10	`c`
32.5b	8	`(*.f64 3 a)`
32.5b	8	`(*.f64 3 a)`

Compiler

Compiled 420 to 253 computations (39.8% saved)

bsearch221.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
184.0ms	7.433584621236147e-26	5.327900929299429e-25
36.0ms	-1.27187114696786e-164	-6.001061881899384e-165

Compiler

Compiled 301 to 228 computations (24.3% saved)

regimes1.3s (6.4%)

Counts

43 → 3

Calls

Call 1

Inputs
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(/.f64 2/3 (/.f64 a b))
(*.f64 (/.f64 b a) 2/3)
(/.f64 (/.f64 b -3/2) a)
(*.f64 -1/2 (/.f64 c b))
(/.f64 -2/3 (/.f64 a b))
(*.f64 b (/.f64 2/3 a))
(*.f64 1/2 (/.f64 c b))
(*.f64 b (/.f64 -2/3 a))
(/.f64 (*.f64 b -2/3) a)
(/.f64 b (/.f64 a 2/3))
(*.f64 -2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(/.f64 1/2 (/.f64 b c))
(*.f64 c (/.f64 1/2 b))
(*.f64 (/.f64 b 3) (/.f64 2 a))
(.f64 2 (/.f64 b (.f64 3 a)))
(*.f64 (/.f64 b 3) (/.f64 -2 a))
(*.f64 b (/.f64 1 (/.f64 a -2/3)))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(/.f64 1 (/.f64 a (*.f64 b -2/3)))
(/.f64 (.f64 b -2) (.f64 a 3))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(.f64 (.f64 b -2) (/.f64 1/3 a))
(/.f64 (.f64 b -2) (.f64 3 a))
(/.f64 (.f64 (.f64 b 2) 1) (*.f64 3 a))
(/.f64 (/.f64 c (/.f64 (/.f64 b -3/2) a)) (*.f64 3 a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(/.f64 (/.f64 (.f64 c -3/2) (/.f64 b a)) (.f64 3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 3 a))
(.f64 (-.f64 (-.f64 (/.f64 c (/.f64 b (.f64 a 3/2))) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(/.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 3 a))
(/.f64 (/.f64 (.f64 c (.f64 a -3)) (.f64 (/.f64 -1/2 b) (.f64 (.f64 c a) -3))) (.f64 3 a))
(pow.f64 (*.f64 (/.f64 a b) 3/2) -1)
(pow.f64 (*.f64 (/.f64 a b) -3/2) -1)
(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
(fma.f64 (/.f64 b a) 2/3 (/.f64 -1/2 (/.f64 b c)))
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) 1/3) a)

Outputs
(/.f64 (/.f64 b -3/2) a)
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) 1/3) a)
(/.f64 (*.f64 -1/2 c) b)

Calls

5 calls:

395.0ms	(*.f64 3 a)
370.0ms	c
245.0ms	a
210.0ms	(*.f64 3 a)
115.0ms	b

Results

Error	Segments	Branch
32.5b	8	`a`
14.7b	3	`b`
33.5b	10	`c`
32.5b	8	`(*.f64 3 a)`
32.5b	8	`(*.f64 3 a)`

Compiler

Compiled 372 to 224 computations (39.8% saved)

bsearch204.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
170.0ms	7.433584621236147e-26	5.327900929299429e-25
34.0ms	-1.27187114696786e-164	-6.001061881899384e-165

Compiler

Compiled 301 to 228 computations (24.3% saved)

regimes1.2s (5.9%)

Counts

42 → 2

Calls

Call 1

Inputs
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(/.f64 2/3 (/.f64 a b))
(*.f64 (/.f64 b a) 2/3)
(/.f64 (/.f64 b -3/2) a)
(*.f64 -1/2 (/.f64 c b))
(/.f64 -2/3 (/.f64 a b))
(*.f64 b (/.f64 2/3 a))
(*.f64 1/2 (/.f64 c b))
(*.f64 b (/.f64 -2/3 a))
(/.f64 (*.f64 b -2/3) a)
(/.f64 b (/.f64 a 2/3))
(*.f64 -2/3 (/.f64 b a))
(*.f64 2/3 (/.f64 b a))
(/.f64 1/2 (/.f64 b c))
(*.f64 c (/.f64 1/2 b))
(*.f64 (/.f64 b 3) (/.f64 2 a))
(.f64 2 (/.f64 b (.f64 3 a)))
(*.f64 (/.f64 b 3) (/.f64 -2 a))
(*.f64 b (/.f64 1 (/.f64 a -2/3)))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(/.f64 1 (/.f64 a (*.f64 b -2/3)))
(/.f64 (.f64 b -2) (.f64 a 3))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(.f64 (.f64 b -2) (/.f64 1/3 a))
(/.f64 (.f64 b -2) (.f64 3 a))
(/.f64 (.f64 (.f64 b 2) 1) (*.f64 3 a))
(/.f64 (/.f64 c (/.f64 (/.f64 b -3/2) a)) (*.f64 3 a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(/.f64 (/.f64 (.f64 c -3/2) (/.f64 b a)) (.f64 3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 3 a))
(.f64 (-.f64 (-.f64 (/.f64 c (/.f64 b (.f64 a 3/2))) b) b) (/.f64 1/3 a))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(/.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 3 a))
(/.f64 (/.f64 (.f64 c (.f64 a -3)) (.f64 (/.f64 -1/2 b) (.f64 (.f64 c a) -3))) (.f64 3 a))
(pow.f64 (*.f64 (/.f64 a b) 3/2) -1)
(pow.f64 (*.f64 (/.f64 a b) -3/2) -1)
(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
(fma.f64 (/.f64 b a) 2/3 (/.f64 -1/2 (/.f64 b c)))

Outputs
(/.f64 (/.f64 b -3/2) a)
(/.f64 (*.f64 -1/2 c) b)

Calls

5 calls:

544.0ms	(*.f64 3 a)
234.0ms	(*.f64 3 a)
213.0ms	a
184.0ms	c
49.0ms	b

Results

Error	Segments	Branch
33.2b	8	`a`
22.6b	2	`b`
37.2b	5	`c`
33.2b	8	`(*.f64 3 a)`
33.2b	8	`(*.f64 3 a)`

Compiler

Compiled 360 to 217 computations (39.7% saved)

bsearch93.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
93.0ms	4.062956994504182e-239	5.535262371551062e-231

Compiler

Compiled 188 to 145 computations (22.9% saved)

regimes14.0ms (0.1%)

Accuracy

Total -22.0b remaining (-54.2%)

Threshold costs -22.0b (-54.2%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(/.f64 2/3 (/.f64 a b))
(*.f64 (/.f64 b a) 2/3)

Outputs
(/.f64 (*.f64 -1/2 c) b)

Calls

3 calls:

5.0ms	b
4.0ms	c
4.0ms	a

Results

Error	Segments	Branch
40.6b	1	`a`
40.6b	1	`b`
40.6b	1	`c`

Compiler

Compiled 35 to 24 computations (31.4% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
11×	`+-commutative_binary64`
8×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	263
1	84	259
2	106	259
3	115	259
4	121	259
5	123	259

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b -899999999999999987286076907142771524992704205539344106659091062813867145966567555072) (/.f64 (/.f64 b -3/2) a) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b -3049999999999999992860522852629134338697962145909507037416445609589979747247070380032) (/.f64 (/.f64 b -3/2) a) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b -6479883512364558336/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (/.f64 (/.f64 b -3/2) a) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (.f64 3 a)) (/.f64 (.f64 -1/2 c) b)))
(if (<=.f64 b -6479883512364558336/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (/.f64 (/.f64 b -3/2) a) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (.f64 a 3)) (/.f64 (.f64 -1/2 c) b)))
(if (<=.f64 b -6479883512364558336/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (/.f64 (/.f64 b -3/2) a) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) 1/3) a) (/.f64 (.f64 -1/2 c) b)))
(if (<=.f64 b 4926807918903085/117304950450073441093299338992332138457996243649210992760592177980666118165925495436678284352817677825758656549761022853424729541660972550965022826666248518125620733165482852770884817967017897067499683873717228533661411547573197142488509591988118713532416) (/.f64 (/.f64 b -3/2) a) (/.f64 (*.f64 -1/2 c) b))
(/.f64 (*.f64 -1/2 c) b)

Outputs
(if (<=.f64 b -899999999999999987286076907142771524992704205539344106659091062813867145966567555072) (/.f64 (/.f64 b -3/2) a) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b -899999999999999987286076907142771524992704205539344106659091062813867145966567555072) (/.f64 (/.f64 b -3/2) a) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a 3) c)))) (.f64 a 3)) (/.f64 (*.f64 c -1/2) b)))
(if (<=.f64 b -899999999999999987286076907142771524992704205539344106659091062813867145966567555072) (/.f64 (/.f64 b -3/2) a) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (.f64 a 3)) (/.f64 (*.f64 c -1/2) b)))
(if (<=.f64 b -3049999999999999992860522852629134338697962145909507037416445609589979747247070380032) (/.f64 (/.f64 b -3/2) a) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b -3049999999999999992860522852629134338697962145909507037416445609589979747247070380032) (/.f64 (/.f64 b -3/2) a) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (/.f64 1/3 a)) (/.f64 (*.f64 c -1/2) b)))
(if (<=.f64 b -6479883512364558336/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (/.f64 (/.f64 b -3/2) a) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (.f64 3 a)) (/.f64 (.f64 -1/2 c) b)))
(if (<=.f64 b -3164005621271757/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672) (/.f64 (/.f64 b -3/2) a) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (.f64 a 3)) (/.f64 (.f64 c -1/2) b)))
(if (<=.f64 b -3164005621271757/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672) (/.f64 (/.f64 b -3/2) a) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 a 3)) (/.f64 (.f64 c -1/2) b)))
(if (<=.f64 b -6479883512364558336/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (/.f64 (/.f64 b -3/2) a) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (.f64 a 3)) (/.f64 (.f64 -1/2 c) b)))
(if (<=.f64 b -3164005621271757/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672) (/.f64 (/.f64 b -3/2) a) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b) (.f64 a 3)) (/.f64 (.f64 c -1/2) b)))
(if (<=.f64 b -6479883512364558336/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (/.f64 (/.f64 b -3/2) a) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) 1/3) a) (/.f64 (.f64 -1/2 c) b)))
(if (<=.f64 b -3164005621271757/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672) (/.f64 (/.f64 b -3/2) a) (if (<=.f64 b 3266710722441009/43556142965880123323311949751266331066368) (/.f64 (.f64 1/3 (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) a) (/.f64 (.f64 c -1/2) b)))
(if (<=.f64 b 4926807918903085/117304950450073441093299338992332138457996243649210992760592177980666118165925495436678284352817677825758656549761022853424729541660972550965022826666248518125620733165482852770884817967017897067499683873717228533661411547573197142488509591988118713532416) (/.f64 (/.f64 b -3/2) a) (/.f64 (*.f64 -1/2 c) b))
(if (<=.f64 b 4926807918903085/117304950450073441093299338992332138457996243649210992760592177980666118165925495436678284352817677825758656549761022853424729541660972550965022826666248518125620733165482852770884817967017897067499683873717228533661411547573197142488509591988118713532416) (/.f64 (/.f64 b -3/2) a) (/.f64 (*.f64 c -1/2) b))
(/.f64 (*.f64 -1/2 c) b)
(/.f64 (*.f64 c -1/2) b)

Compiler

Compiled 198 to 137 computations (30.8% saved)

soundness236.0ms (1.1%)

Algorithm

3×	egg-herbie

Rules

807×	`times-frac_binary64`
807×	`times-frac_binary64`
805×	`associate-/l*_binary64`
714×	`associate-/r*_binary64`
617×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	127	1035
1	403	833
2	1736	769
0	201	1459
1	635	1135
2	2784	1056
0	127	1035
1	403	833
2	1736	769

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 247 to 201 computations (18.6% saved)

end95.0ms (0.4%)

Compiler: Compiled 180 to 117 computations (35% saved)