Details

analyze319.0ms (1.4%)

Algorithm

1×

Search

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.7s (11.6%)

Results

900.0ms	5431×	body	256	valid
592.0ms	1217×	body	2048	valid
543.0ms	792×	body	1024	valid
288.0ms	439×	body	4096	valid
234.0ms	1606×	body	256	invalid
88.0ms	377×	body	512	valid

preprocess91.0ms (0.4%)

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)

simplify121.0ms (0.5%)

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

35.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
▶	35.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1/3 a)
✓	0.7b	(fma.f64 b b (.f64 c (.f64 a -3)))
✓	0.9b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)
✓	23.2b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))

Compiler

Compiled 62 to 36 computations (41.9% saved)

series31.0ms (0.1%)

Counts

4 → 76

Calls

30 calls:

Time	Variable		Point	Expression
8.0ms	b	@	0	(fma.f64 b b (.f64 c (.f64 a -3)))
2.0ms	a	@	0	(/.f64 1/3 a)
2.0ms	b	@	0	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))
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))))))

simplify88.0ms (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))

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 3 a) c)
✓	0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
✓	0.9b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
✓	23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 69 to 35 computations (49.3% saved)

series19.0ms (0.1%)

Counts

4 → 100

Calls

33 calls:

Time	Variable		Point	Expression
6.0ms	a	@	0	(.f64 (.f64 3 a) c)
1.0ms	b	@	0	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
0.0ms	a	@	inf	(.f64 (.f64 3 a) c)
0.0ms	c	@	0	(.f64 (.f64 3 a) c)
0.0ms	a	@	-inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite107.0ms (0.5%)

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))))))

simplify90.0ms (0.4%)

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))

eval320.0ms (1.4%)

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

prune121.0ms (0.5%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	583	21	604
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	583	23	606

Error

8.1b

Counts

606 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	37.1b	(.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))) b))) (/.f64 1/3 a))
	35.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (/.f64 1 a) 1/3))
▶	46.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
	45.3b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
	43.0b	(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2))) (*.f64 3 a))
▶	40.2b	(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 3 a))
✓	35.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
▶	35.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (.f64 3 c)))))) (.f64 3 a))
	40.3b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
	44.8b	(/.f64 (.f64 b -2) (.f64 3 a))
	56.2b	(*.f64 (-.f64 b b) (/.f64 1/3 a))
▶	44.8b	(.f64 (.f64 b -2) (/.f64 1/3 a))
	35.3b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
	49.6b	(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))
	56.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
✓	35.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
	46.9b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	46.9b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
	42.2b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
	48.3b	(/.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))
▶	36.1b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2)) (*.f64 3 a))
	35.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (pow.f64 (.f64 a 3) -1))
	37.7b	(.f64 (-.f64 (pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) 3) b) (/.f64 1/3 a))

Compiler

Compiled 766 to 546 computations (28.7% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a (.f64 3 c))
✓	0.6b	(-.f64 (.f64 b b) (+.f64 0 (.f64 a (*.f64 3 c))))
✓	0.9b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (*.f64 3 c))))))
✓	23.2b	(sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (*.f64 3 c)))))

Compiler

Compiled 88 to 51 computations (42% saved)

series12.0ms (0.1%)

Counts

4 → 100

Calls

33 calls:

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

rewrite105.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

688×	`fma-def_binary64`
616×	`log-prod_binary64`
391×	`fma-neg_binary64`
222×	`expm1-udef_binary64`
222×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	55
1	318	53
2	4262	51

Stop Event

1×	node limit

Counts

4 → 297

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (*.f64 3 c)))))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (*.f64 3 c))))))
(-.f64 (.f64 b b) (+.f64 0 (.f64 a (*.f64 3 c))))
(.f64 a (.f64 3 c))

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

simplify91.0ms (0.4%)

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

397 → 352

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)))
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(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))

localize8.0ms (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)

series7.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite79.0ms (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))))))))

simplify22.0ms (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))

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.8b	(.f64 (/.f64 c b) (.f64 a -3/2))
✓	10.6b	(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 3 a))

Compiler

Compiled 35 to 19 computations (45.7% saved)

series15.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite71.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

745×	`log-prod_binary64`
322×	`pow2_binary64`
265×	`pow-unpow_binary64`
227×	`pow1/3_binary64`
221×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	242	23
2	3518	17

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

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

Outputs

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

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

simplify26.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative_binary64`
17×	`associate-/l*_binary64`
12×	`associate-/r/_binary64`
10×	`associate-r_binary64`
8×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	612
1	20	612
2	37	612
3	67	612
4	98	612
5	109	612

Stop Event

1×

saturated

Counts

171 → 102

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 -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 -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))

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3))))
✓	0.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
✓	0.2b	(.f64 c (.f64 a -3))
✓	10.9b	(sqrt.f64 (.f64 c (.f64 a -3)))

Compiler

Compiled 49 to 30 computations (38.8% saved)

series22.0ms (0.1%)

Counts

4 → 52

Calls

30 calls:

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

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`log-prod_binary64`
376×	`fma-def_binary64`
305×	`pow2_binary64`
256×	`pow-unpow_binary64`
212×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	282	46
2	4044	46

Stop Event

1×	node limit

Counts

4 → 165

Calls

Call 1

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

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

simplify323.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1533×	`fma-def_binary64`
789×	`fma-neg_binary64`
406×	`associate-/r/_binary64`
308×	`div-sub_binary64`
273×	`associate-/l/_binary64`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	22	557
1	40	548
2	68	548
3	85	548
4	103	548
5	131	548
6	195	548
7	293	548
8	469	548
9	769	548
10	1131	539
11	1429	539
12	2106	539
13	3126	539
14	3342	539
15	3838	539
16	4472	539
17	4721	539
18	5064	539
19	5389	539
20	5706	539
21	5808	539
22	5978	539
23	6624	539
24	7044	539
25	7220	539
26	7222	539
27	7232	539
28	7232	539
29	7232	539

Stop Event

1×

saturated

Counts

217 → 176

Calls

Call 1

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

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

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2)
	0.7b	(fma.f64 b b (.f64 c (.f64 a -3)))
✓	13.1b	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2))
✓	23.8b	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4)

Compiler

Compiled 87 to 54 computations (37.9% saved)

series67.0ms (0.3%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
19.0ms	a	@	-inf	(pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2)
9.0ms	a	@	0	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4)
3.0ms	a	@	0	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2))
3.0ms	a	@	-inf	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4)
3.0ms	c	@	0	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2))

rewrite80.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`log-prod_binary64`
390×	`pow-prod-down_binary64`
337×	`pow2_binary64`
279×	`fma-def_binary64`
233×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	47
1	307	41
2	3769	41

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))) (/.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) 0) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))) 2) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 3/2)) (/.f64 1 (-.f64 (fma.f64 b b (fma.f64 c (*.f64 a -3) (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a -3) (*.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 1 (/.f64 (-.f64 (fma.f64 b b (fma.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 3/2))) (neg.f64 (-.f64 (fma.f64 b b (fma.f64 c (*.f64 a -3) (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a -3) (*.f64 b b)))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b -1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (cbrt.f64 b)) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b))) (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 1/6) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 1/8) (sqrt.f64 (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 3/4)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 3/4)) (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 1/8) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 b)) (sqrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.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)) 1/6)) (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 1/12) b)))))

((#(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 (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 (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 (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 1/6) (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 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 1/8) (sqrt.f64 (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 3/4)) (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 1/8))))) (#(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 (*.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)) 1/6)) (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)))))) (#(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))))))

simplify121.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

744×	`fma-def_binary64`
552×	`associate-r_binary64`
411×	`associate-l_binary64`
360×	`times-frac_binary64`
311×	`associate-+l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	603	8409
1	2182	7544

Stop Event

1×	node limit

Counts

220 → 302

Calls

Call 1

Inputs
(pow.f64 (.f64 -3 (.f64 c a)) 1/4)
(+.f64 (.f64 -1/12 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (.f64 -3 (*.f64 c a)) 1/4))
(+.f64 (.f64 -1/96 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (.f64 -3 (.f64 c a)) 1/4)))
(+.f64 (.f64 -1/96 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -7/3456 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (pow.f64 (.f64 -3 (*.f64 c a)) 1/4))))
(sqrt.f64 b)
(+.f64 (.f64 -3/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (sqrt.f64 b))
(+.f64 (.f64 (+.f64 (.f64 9/32 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (.f64 -3/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (sqrt.f64 b)))
(+.f64 (.f64 (+.f64 (.f64 9/32 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (.f64 -3/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (.f64 (+.f64 (.f64 -9/128 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 -9/4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 27/32 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (sqrt.f64 b))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b))
(+.f64 (.f64 -3/4 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 9/32 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (.f64 -3/4 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b))))
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 9/32 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (.f64 (.f64 (+.f64 (.f64 -9/128 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 -9/4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 27/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (+.f64 (.f64 -3/4 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(+.f64 (.f64 -3/4 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(+.f64 (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 9/32 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))) (+.f64 (.f64 -3/4 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))))
(+.f64 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -9/128 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 27/32 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 -9/4 (/.f64 (pow.f64 a 3) (pow.f64 b 6)))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))) (+.f64 (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 9/32 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))) (+.f64 (.f64 -3/4 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -3 a)))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a)))))) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -3 a))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/288 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/72 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a)))))) (pow.f64 c 2)) (+.f64 (.f64 -1/12 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a)))))) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (*.f64 -3 a)))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/324 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -1/10368 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 1/864 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a)))))) (pow.f64 c 3)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/288 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/72 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a)))))) (pow.f64 c 2)) (+.f64 (.f64 -1/12 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a)))))) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a))))))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (*.f64 3 a)))))
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(+.f64 (.f64 1/144 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (.f64 3 a))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (.f64 3 a))))) 2) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (.f64 3 a))))) 2) (+.f64 (.f64 -1/72 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 1/288 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (pow.f64 c 2))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (.f64 3 a))))) 2) (pow.f64 b 2)) (.f64 c a))) (.f64 -1 (/.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (.f64 3 a))))) 2) (.f64 (pow.f64 b 2) (+.f64 (.f64 -1/72 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 1/288 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))))) a)) (.f64 2 (.f64 (+.f64 (.f64 1/324 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -1/864 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 1/10368 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (log.f64 (*.f64 3 a))))) 2)))) (pow.f64 c 3)))))))
b
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) b)
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 b (.f64 (pow.f64 a 2) (+.f64 (.f64 (+.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 9/32 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b) (+.f64 (.f64 9/16 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) (.f64 b (+.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 9/32 (/.f64 (pow.f64 c 2) (pow.f64 b 4))))))))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -3/2 (/.f64 (.f64 c (+.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 9/32 (/.f64 (pow.f64 c 2) (pow.f64 b 4))))) b)) (.f64 2 (.f64 (+.f64 (.f64 -9/4 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (.f64 27/32 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (.f64 -9/128 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))) b)))) (+.f64 b (.f64 (pow.f64 a 2) (+.f64 (.f64 (+.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 9/32 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b) (+.f64 (.f64 9/16 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) (.f64 b (+.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 9/32 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))))))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (*.f64 -1 (log.f64 (/.f64 1 a)))))) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) (.f64 -1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) (+.f64 (.f64 1/288 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 -1/72 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))) (.f64 1/144 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) (.f64 (+.f64 (.f64 1/288 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 -1/72 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 b 2))) (.f64 c (pow.f64 a 3)))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) (+.f64 (.f64 1/864 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 -1/324 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 -1/10368 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) (+.f64 (.f64 1/288 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 -1/72 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))) (.f64 1/144 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/288 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 -1/72 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (.f64 1/144 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 (.f64 1/288 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 -1/72 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) c)) (.f64 2 (.f64 (+.f64 (.f64 -1/864 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 1/10368 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 1/324 (/.f64 (pow.f64 b 6) (pow.f64 c 3))))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))) (pow.f64 a 3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/288 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 -1/72 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (.f64 1/144 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))

Outputs
(pow.f64 (.f64 -3 (.f64 c a)) 1/4)
(pow.f64 (.f64 c (.f64 -3 a)) 1/4)
(+.f64 (.f64 -1/12 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (.f64 -3 (*.f64 c a)) 1/4))
(fma.f64 -1/12 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (pow.f64 (.f64 -3 (*.f64 c a)) 1/4))
(fma.f64 -1/12 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (pow.f64 (.f64 c (*.f64 -3 a)) 1/4))
(+.f64 (.f64 -1/96 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (.f64 -3 (.f64 c a)) 1/4)))
(fma.f64 -1/96 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)) (fma.f64 -1/12 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (pow.f64 (.f64 -3 (*.f64 c a)) 1/4)))
(fma.f64 -1/96 (.f64 (pow.f64 (/.f64 (/.f64 -3 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b 4)) (fma.f64 -1/12 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (pow.f64 (.f64 c (.f64 -3 a)) 1/4)))
(+.f64 (.f64 -1/96 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -7/3456 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (pow.f64 (.f64 -3 (*.f64 c a)) 1/4))))
(fma.f64 -1/96 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)) (fma.f64 -1/12 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (fma.f64 -7/3456 (.f64 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6)) (pow.f64 (.f64 -3 (*.f64 c a)) 1/4))))
(fma.f64 -1/96 (.f64 (pow.f64 (/.f64 (/.f64 -3 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b 4)) (fma.f64 (.f64 -1/12 (pow.f64 (/.f64 -3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4)) (.f64 b b) (fma.f64 (.f64 -7/3456 (pow.f64 (/.f64 (/.f64 -3 (pow.f64 c 11)) (pow.f64 a 11)) 1/4)) (pow.f64 b 6) (pow.f64 (.f64 c (*.f64 -3 a)) 1/4))))
(sqrt.f64 b)
(+.f64 (.f64 -3/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (sqrt.f64 b))
(fma.f64 -3/4 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (sqrt.f64 b))
(fma.f64 (.f64 (.f64 -3/4 c) a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (sqrt.f64 b))
(+.f64 (.f64 (+.f64 (.f64 9/32 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (.f64 -3/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (sqrt.f64 b)))
(fma.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -27/32) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (fma.f64 -3/4 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (sqrt.f64 b)))
(fma.f64 (.f64 (.f64 a a) (.f64 (.f64 c c) -27/32)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (fma.f64 (.f64 (.f64 -3/4 c) a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (sqrt.f64 b)))
(+.f64 (.f64 (+.f64 (.f64 9/32 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (.f64 -3/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (.f64 (+.f64 (.f64 -9/128 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 -9/4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 27/32 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (sqrt.f64 b))))
(fma.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -27/32) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (fma.f64 -3/4 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (fma.f64 (fma.f64 -9/128 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -45/32)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (sqrt.f64 b))))
(fma.f64 (.f64 (.f64 a a) (.f64 (.f64 c c) -27/32)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (fma.f64 -3/4 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (fma.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -189/128) (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (sqrt.f64 b))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b))
(*.f64 (sqrt.f64 b) (sqrt.f64 -1))
(+.f64 (.f64 -3/4 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))
(fma.f64 -3/4 (.f64 c (.f64 (.f64 a (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (.f64 (sqrt.f64 b) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 b) (sqrt.f64 -1) (.f64 (.f64 (.f64 -3/4 c) (.f64 a (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 9/32 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (.f64 -3/4 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -27/32) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (fma.f64 -3/4 (.f64 c (.f64 (.f64 a (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (.f64 (.f64 (.f64 a a) (.f64 (.f64 c c) -27/32)) (sqrt.f64 -1)) (fma.f64 (sqrt.f64 b) (sqrt.f64 -1) (.f64 (.f64 (.f64 -3/4 c) (*.f64 a (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 9/32 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (.f64 (.f64 (+.f64 (.f64 -9/128 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 -9/4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 27/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (+.f64 (.f64 -3/4 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -27/32) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (fma.f64 (.f64 (fma.f64 -9/128 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -45/32)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (fma.f64 -3/4 (.f64 c (.f64 (.f64 a (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (.f64 (.f64 (.f64 a a) (.f64 (.f64 c c) -27/32)) (sqrt.f64 -1)) (fma.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -189/128) (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (fma.f64 (sqrt.f64 b) (sqrt.f64 -1) (.f64 (.f64 (.f64 -3/4 c) (.f64 a (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(sqrt.f64 b)
(+.f64 (.f64 -3/4 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
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(fma.f64 -1/6 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 3)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) a)) (fma.f64 2 (/.f64 (.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -1/96) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 3)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)) (.f64 a a)) (fma.f64 1/144 (/.f64 (pow.f64 b 4) (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 3)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 3)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))))
(fma.f64 -1/6 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))) 2) c)) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))) 2) (.f64 (/.f64 c (/.f64 (pow.f64 b 4) (.f64 a a))) (/.f64 c -1/96))) (fma.f64 1/144 (.f64 (/.f64 (pow.f64 b 4) (.f64 (.f64 (.f64 c c) a) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))) 2)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 3)) (log.f64 (/.f64 -1 a)))) 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 (.f64 1/288 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 -1/72 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) c)) (.f64 2 (.f64 (+.f64 (.f64 -1/864 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 1/10368 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 1/324 (/.f64 (pow.f64 b 6) (pow.f64 c 3))))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))) (pow.f64 a 3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/288 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 -1/72 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (.f64 1/144 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))
(fma.f64 -1 (/.f64 (fma.f64 1/6 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -1/96)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 3)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)) c) (.f64 2 (.f64 (fma.f64 -1/864 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 11/3456)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 3)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)))) (pow.f64 a 3)) (fma.f64 -1/6 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 3)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) a)) (fma.f64 2 (/.f64 (.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -1/96) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 3)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)) (.f64 a a)) (fma.f64 1/144 (/.f64 (pow.f64 b 4) (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 3)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 3)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)))))
(-.f64 (fma.f64 -1/6 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))) 2) c)) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))) 2) (.f64 (/.f64 c (/.f64 (pow.f64 b 4) (.f64 a a))) (/.f64 c -1/96))) (fma.f64 1/144 (.f64 (/.f64 (pow.f64 b 4) (.f64 (.f64 (.f64 c c) a) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))) 2)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))) 2)))) (/.f64 (fma.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 7/3456) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))) 2)) (/.f64 (.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -1/96) 1/6) (/.f64 c (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 3)) (log.f64 (/.f64 -1 a)))) 2))))) (pow.f64 a 3)))

eval740.0ms (3.2%)

Compiler: Compiled 31621 to 21449 computations (32.2% saved)

prune253.0ms (1.1%)

Pruning

43 alts after pruning (39 fresh and 4 done)

	Pruned	Kept	Total
New	991	30	1021
Fresh	7	9	16
Picked	1	0	1
Done	2	4	6
Total	1001	43	1044

Error

0.7b

Counts

1044 → 43

Alt Table

Click to see full alt table

Status	Error	Program
	37.1b	(.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))) b))) (/.f64 1/3 a))
	44.9b	(/.f64 1 (/.f64 a (*.f64 b -2/3)))
	47.0b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (.f64 c (.f64 a -3)) 1/4) 2)) (*.f64 3 a))
	57.2b	(.f64 (.f64 b -2) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
	60.5b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (sqrt.f64 b) 2)) (*.f64 3 a))
▶	42.0b	(/.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 c b) (.f64 a -3/2)))) (*.f64 3 a))
	35.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (/.f64 1 a) 1/3))
	43.0b	(/.f64 (.f64 c (.f64 -3/2 (/.f64 a b))) (*.f64 3 a))
	44.8b	(/.f64 (.f64 b -2) (.f64 a 3))
✓	46.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
	45.3b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
	47.5b	(-.f64 (+.f64 1 (*.f64 b (/.f64 -2/3 a))) 1)
	46.9b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
▶	44.8b	(*.f64 -2/3 (/.f64 b a))
	46.9b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
	40.3b	(.f64 (/.f64 (.f64 (/.f64 c b) a) a) -1/2)
	45.3b	(/.f64 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 b -2)) (*.f64 3 a))
	56.2b	(/.f64 0 (*.f64 3 a))
	44.8b	(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
	53.8b	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) b) (.f64 3 a))
✓	35.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
✓	35.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (.f64 3 c)))))) (.f64 3 a))
	54.5b	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) (.f64 3 a))
	42.2b	(/.f64 (/.f64 (.f64 c (.f64 a -3/2)) b) (*.f64 3 a))
▶	55.8b	(.f64 (.f64 b -2) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))
	41.3b	(.f64 (.f64 a -3/2) (*.f64 (/.f64 c b) (/.f64 1/3 a)))
	53.0b	(.f64 (.f64 b -2) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
	40.3b	(.f64 (.f64 (/.f64 c b) a) (*.f64 -3/2 (/.f64 1/3 a)))
	36.6b	(*.f64 (/.f64 c b) -1/2)
	54.6b	(pow.f64 (pow.f64 (*.f64 (/.f64 c b) -1/2) 3) 1/3)
▶	35.3b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
	36.7b	(.f64 (.f64 (/.f64 c b) 1/3) -3/2)
✓	35.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
	49.8b	(exp.f64 (log.f64 (*.f64 (/.f64 c b) -1/2)))
	56.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
	54.5b	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a))))) 2) b) (.f64 3 a))
	37.7b	(.f64 (-.f64 (pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) 3) b) (/.f64 1/3 a))
	48.3b	(/.f64 (/.f64 (-.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (.f64 3 a))
	40.4b	(.f64 (.f64 (.f64 (/.f64 c b) a) 3/2) (/.f64 1 (.f64 a -3)))
	44.8b	(/.f64 (*.f64 b -2/3) a)
	42.2b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
	38.3b	(.f64 (/.f64 (.f64 a -3/2) (pow.f64 (cbrt.f64 (.f64 a 3)) 2)) (/.f64 (/.f64 c b) (cbrt.f64 (.f64 a 3))))
▶	40.3b	(.f64 1/3 (/.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) a))

Compiler

Compiled 1278 to 962 computations (24.7% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1/3 a)
✓	0.6b	(+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))
✓	0.9b	(-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))) b)
✓	23.2b	(sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b)))

Compiler

Compiled 69 to 37 computations (46.4% saved)

series9.0ms (0%)

Counts

3 → 76

Calls

27 calls:

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

rewrite93.0ms (0.4%)

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

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

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

simplify79.0ms (0.3%)

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.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	a	@	0	(*.f64 -2/3 (/.f64 b a))
0.0ms	a	@	-inf	(*.f64 -2/3 (/.f64 b a))
0.0ms	b	@	-inf	(*.f64 -2/3 (/.f64 b a))

rewrite47.0ms (0.2%)

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))))))))

simplify7.0ms (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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 1/3 (/.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) a))
	5.8b	(.f64 (/.f64 c b) (.f64 a -3/2))
✓	10.5b	(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) a)

Compiler

Compiled 41 to 21 computations (48.8% saved)

series6.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite66.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

688×	`log-prod_binary64`
406×	`pow-prod-down_binary64`
314×	`pow2_binary64`
262×	`pow-unpow_binary64`
223×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	239	29
2	3309	17

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

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

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	504
1	14	504
2	21	504
3	29	504
4	31	504

Stop Event

1×

saturated

Counts

155 → 87

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 b -2) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))
✓	0.2b	(/.f64 1/9 (*.f64 a a))
✓	27.1b	(sqrt.f64 (/.f64 1/9 (*.f64 a a)))

Compiler

Compiled 34 to 19 computations (44.1% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(/.f64 1/9 (*.f64 a a))
0.0ms	a	@	inf	(/.f64 1/9 (*.f64 a a))
0.0ms	a	@	0	(sqrt.f64 (/.f64 1/9 (*.f64 a a)))
0.0ms	b	@	-inf	(.f64 (.f64 b -2) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))
0.0ms	a	@	inf	(.f64 (.f64 b -2) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

958×	`pow1_binary64`
897×	`add-log-exp_binary64`
897×	`log1p-expm1-u_binary64`
897×	`expm1-log1p-u_binary64`
101×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	213	18
2	2536	18

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 1/9 (*.f64 a a)))
(/.f64 1/9 (*.f64 a a))
(.f64 (.f64 b -2) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))

Outputs

((#(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 (/.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 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) (cbrt.f64 (/.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 1/3 (sqrt.f64 (pow.f64 a -2)))))) (#(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 (sqrt.f64 (cbrt.f64 (/.f64 1/81 (pow.f64 a 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/9 1/2) (pow.f64 (pow.f64 a -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/81 (pow.f64 a 4))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 (*.f64 a a) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 1/9 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1/9) (sqrt.f64 (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (pow.f64 a -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/27 (pow.f64 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 fabs.f64 (/.f64 1/3 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 (/.f64 1/27 (pow.f64 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 -.f64 (exp.f64 (log1p.f64 (*.f64 1/9 (pow.f64 a -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (pow.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/9 (pow.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 a) (/.f64 1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/9 (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) (cbrt.f64 (/.f64 1/81 (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) (*.f64 (cbrt.f64 (/.f64 1/3 a)) (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/81 (pow.f64 a 4))) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 a)) (*.f64 (sqrt.f64 (/.f64 1/3 a)) (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/9 (/.f64 1 (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -2) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 a) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 a) (sqrt.f64 (/.f64 1/3 a))) (sqrt.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 a) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2)) (cbrt.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (pow.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/81 (pow.f64 a 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/9 (pow.f64 a -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 a a) 9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/81 (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/9) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/9 (pow.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/9 (pow.f64 a -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/9 (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/9 (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/9 (pow.f64 a -2))))))))

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

simplify106.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1190×	`associate-*l/_binary64`
662×	`associate-/l*_binary64`
547×	`associate-*r/_binary64`
461×	`sqr-pow_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	300
1	27	300
2	43	300
3	83	300
4	182	300
5	560	300
6	2163	300
7	4777	300
8	4941	300
9	5154	300
10	5374	300
11	5674	300
12	6087	300
13	7636	300

Stop Event

1×	node limit

Counts

121 → 79

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)
(/.f64 1/9 (pow.f64 a 2))
(/.f64 1/9 (pow.f64 a 2))
(/.f64 1/9 (pow.f64 a 2))
(/.f64 1/9 (pow.f64 a 2))
(/.f64 1/9 (pow.f64 a 2))
(/.f64 1/9 (pow.f64 a 2))
(/.f64 1/9 (pow.f64 a 2))
(/.f64 1/9 (pow.f64 a 2))
(/.f64 1/9 (pow.f64 a 2))
(/.f64 1/9 (pow.f64 a 2))
(/.f64 1/9 (pow.f64 a 2))
(/.f64 1/9 (pow.f64 a 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))

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)
(/.f64 1/9 (pow.f64 a 2))
(/.f64 1/9 (*.f64 a a))
(/.f64 1/9 (pow.f64 a 2))
(/.f64 1/9 (*.f64 a a))
(/.f64 1/9 (pow.f64 a 2))
(/.f64 1/9 (*.f64 a a))
(/.f64 1/9 (pow.f64 a 2))
(/.f64 1/9 (*.f64 a a))
(/.f64 1/9 (pow.f64 a 2))
(/.f64 1/9 (*.f64 a a))
(/.f64 1/9 (pow.f64 a 2))
(/.f64 1/9 (*.f64 a a))
(/.f64 1/9 (pow.f64 a 2))
(/.f64 1/9 (*.f64 a a))
(/.f64 1/9 (pow.f64 a 2))
(/.f64 1/9 (*.f64 a a))
(/.f64 1/9 (pow.f64 a 2))
(/.f64 1/9 (*.f64 a a))
(/.f64 1/9 (pow.f64 a 2))
(/.f64 1/9 (*.f64 a a))
(/.f64 1/9 (pow.f64 a 2))
(/.f64 1/9 (*.f64 a a))
(/.f64 1/9 (pow.f64 a 2))
(/.f64 1/9 (*.f64 a 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 (/.f64 b a) 2/3)
(*.f64 b (/.f64 2/3 a))
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(*.f64 (/.f64 b a) 2/3)
(*.f64 b (/.f64 2/3 a))
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(*.f64 (/.f64 b a) 2/3)
(*.f64 b (/.f64 2/3 a))
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(*.f64 (/.f64 b a) 2/3)
(*.f64 b (/.f64 2/3 a))
(/.f64 b (/.f64 a 2/3))

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(expm1.f64 (log1p.f64 (.f64 (/.f64 c b) (.f64 a -3/2))))
✓	4.4b	(log1p.f64 (.f64 (/.f64 c b) (.f64 a -3/2)))
	5.8b	(.f64 (/.f64 c b) (.f64 a -3/2))
✓	8.2b	(/.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 c b) (.f64 a -3/2)))) (*.f64 3 a))

Compiler

Compiled 54 to 30 computations (44.4% saved)

series13.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	b	@	-inf	(log1p.f64 (.f64 (/.f64 c b) (.f64 a -3/2)))
1.0ms	c	@	0	(log1p.f64 (.f64 (/.f64 c b) (.f64 a -3/2)))
1.0ms	a	@	0	(log1p.f64 (.f64 (/.f64 c b) (.f64 a -3/2)))
1.0ms	c	@	inf	(log1p.f64 (.f64 (/.f64 c b) (.f64 a -3/2)))
1.0ms	c	@	-inf	(log1p.f64 (.f64 (/.f64 c b) (.f64 a -3/2)))

rewrite80.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`log-prod_binary64`
420×	`prod-diff_binary64`
331×	`pow2_binary64`
256×	`pow-unpow_binary64`
233×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	257	35
2	3478	35

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

Inputs
(/.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 c b) (.f64 a -3/2)))) (*.f64 3 a))
(log1p.f64 (.f64 (/.f64 c b) (.f64 a -3/2)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 c b) (.f64 a -3/2))))

Outputs

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

simplify86.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

762×	`times-frac_binary64`
646×	`associate-+l+_binary64`
510×	`unswap-sqr_binary64`
497×	`fma-def_binary64`
464×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	2037
1	356	1979
2	1197	1922
3	7162	1871

Stop Event

1×	node limit

Counts

256 → 190

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 -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 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2)))))
(+.f64 (.f64 -81/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 4))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))))))
(+.f64 (log.f64 (.f64 -3/2 (/.f64 a b))) (.f64 -1 (log.f64 (/.f64 1 c))))
(+.f64 (.f64 -2/3 (/.f64 b (.f64 c a))) (+.f64 (log.f64 (.f64 -3/2 (/.f64 a b))) (.f64 -1 (log.f64 (/.f64 1 c)))))
(+.f64 (.f64 -2/3 (/.f64 b (.f64 c a))) (+.f64 (log.f64 (.f64 -3/2 (/.f64 a b))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (.f64 -2/9 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(+.f64 (.f64 -2/3 (/.f64 b (.f64 c a))) (+.f64 (log.f64 (.f64 -3/2 (/.f64 a b))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (+.f64 (.f64 -2/9 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 -8/81 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 3) (pow.f64 a 3))))))))
(+.f64 (log.f64 (.f64 3/2 (/.f64 a b))) (.f64 -1 (log.f64 (/.f64 -1 c))))
(+.f64 (.f64 -2/3 (/.f64 b (.f64 c a))) (+.f64 (log.f64 (.f64 3/2 (/.f64 a b))) (.f64 -1 (log.f64 (/.f64 -1 c)))))
(+.f64 (.f64 -2/3 (/.f64 b (.f64 c a))) (+.f64 (log.f64 (.f64 3/2 (/.f64 a b))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (.f64 -2/9 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(+.f64 (.f64 -2/3 (/.f64 b (.f64 c a))) (+.f64 (log.f64 (.f64 3/2 (/.f64 a b))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (+.f64 (.f64 -2/9 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 -8/81 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 3) (pow.f64 a 3))))))))
(+.f64 (.f64 -1 (log.f64 b)) (log.f64 (.f64 -3/2 (*.f64 c a))))
(+.f64 (.f64 -2/3 (/.f64 b (.f64 c a))) (+.f64 (.f64 -1 (log.f64 b)) (log.f64 (.f64 -3/2 (*.f64 c a)))))
(+.f64 (.f64 -2/3 (/.f64 b (.f64 c a))) (+.f64 (.f64 -1 (log.f64 b)) (+.f64 (.f64 -2/9 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (log.f64 (.f64 -3/2 (*.f64 c a))))))
(+.f64 (.f64 -2/3 (/.f64 b (.f64 c a))) (+.f64 (.f64 -1 (log.f64 b)) (+.f64 (.f64 -2/9 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -8/81 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (log.f64 (.f64 -3/2 (*.f64 c a)))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2)))))
(+.f64 (.f64 -81/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 4))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2)))))
(+.f64 (.f64 -81/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 4))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2)))))
(+.f64 (.f64 -81/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 4))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -3/2 (/.f64 c b))))
(+.f64 (.f64 -2/3 (/.f64 b (.f64 c a))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -3/2 (/.f64 c b)))))
(+.f64 (.f64 -2/3 (/.f64 b (.f64 c a))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (log.f64 (.f64 -3/2 (/.f64 c b))) (.f64 -2/9 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(+.f64 (.f64 -2/3 (/.f64 b (.f64 c a))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (log.f64 (.f64 -3/2 (/.f64 c b))) (+.f64 (.f64 -2/9 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 -8/81 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 3) (pow.f64 a 3))))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (log.f64 (.f64 3/2 (/.f64 c b))))
(+.f64 (.f64 -2/3 (/.f64 b (.f64 c a))) (+.f64 (log.f64 (.f64 3/2 (/.f64 c b))) (.f64 -1 (log.f64 (/.f64 -1 a)))))
(+.f64 (.f64 -2/3 (/.f64 b (.f64 c a))) (+.f64 (.f64 -2/9 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 3/2 (/.f64 c b))) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (.f64 -2/3 (/.f64 b (.f64 c a))) (+.f64 (.f64 -2/9 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 3/2 (/.f64 c b))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (.f64 -8/81 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 3) (pow.f64 a 3))))))))
(.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))

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

eval263.0ms (1.1%)

Compiler: Compiled 13564 to 8470 computations (37.6% saved)

prune309.0ms (1.3%)

Pruning

51 alts after pruning (45 fresh and 6 done)

	Pruned	Kept	Total
New	686	30	716
Fresh	19	15	34
Picked	1	0	1
Done	2	6	8
Total	708	51	759

Error

0.7b

Counts

759 → 51

Alt Table

Click to see full alt table

Status	Error	Program
	44.9b	(/.f64 1 (/.f64 a (*.f64 b -2/3)))
	62.3b	(.f64 (.f64 b -2) (/.f64 -1/3 a))
	42.3b	(/.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 (/.f64 c b) (.f64 a -3/2)))) 3)) (*.f64 3 a))
	42.0b	(.f64 1/3 (/.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)))) a))
	43.0b	(/.f64 (.f64 c (.f64 -3/2 (/.f64 a b))) (*.f64 3 a))
	47.0b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (.f64 c (.f64 a -3)) 1/4) 2)) (*.f64 3 a))
	44.8b	(/.f64 (.f64 b -2) (.f64 a 3))
	53.1b	(/.f64 (expm1.f64 (pow.f64 (pow.f64 (log1p.f64 (.f64 (/.f64 c b) (.f64 a -3/2))) 3) 1/3)) (*.f64 3 a))
✓	46.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
	45.3b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
	36.6b	(.f64 (-.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -3) (*.f64 b b))) 3/2) b) (/.f64 1/3 a))
	47.5b	(-.f64 (+.f64 1 (*.f64 b (/.f64 -2/3 a))) 1)
	49.7b	(.f64 1/3 (exp.f64 (log.f64 (.f64 (/.f64 c b) -3/2))))
	41.3b	(.f64 1/3 (.f64 (/.f64 (/.f64 c b) a) (*.f64 a -3/2)))
✓	44.8b	(*.f64 -2/3 (/.f64 b a))
	40.3b	(.f64 (/.f64 (.f64 (/.f64 c b) a) a) -1/2)
	45.3b	(/.f64 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 b -2)) (*.f64 3 a))
	53.8b	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) b) (.f64 3 a))
	39.1b	(.f64 1/3 (expm1.f64 (log1p.f64 (.f64 (/.f64 c b) -3/2))))
✓	35.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	36.6b	(/.f64 (*.f64 -1/2 c) b)
	54.5b	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) (.f64 3 a))
	36.6b	(/.f64 (*.f64 (/.f64 c b) 1/3) -2/3)
	38.3b	(.f64 (/.f64 (.f64 a -3/2) (pow.f64 (cbrt.f64 (.f64 a 3)) 2)) (/.f64 (/.f64 c b) (cbrt.f64 (.f64 a 3))))
	57.2b	(.f64 (.f64 b -2) (pow.f64 (/.f64 1/27 (pow.f64 a 3)) 1/3))
▶	40.6b	(/.f64 (/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) 1/3) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	36.7b	(*.f64 c (/.f64 -1/2 b))
	43.3b	(.f64 1/3 (/.f64 (/.f64 c (/.f64 b (.f64 a -3/2))) a))
	53.0b	(.f64 (.f64 b -2) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
	36.9b	(*.f64 1/3 (/.f64 -3/2 (/.f64 b c)))
▶	46.9b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
✓	40.3b	(.f64 1/3 (/.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) a))
	46.9b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
▶	35.4b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (*.f64 (/.f64 1 a) 1/3))
	62.3b	(/.f64 b (/.f64 a 2/3))
	42.0b	(/.f64 (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (.f64 (/.f64 c b) (.f64 a -3/2)))))) (*.f64 3 a))
	40.4b	(/.f64 1 (/.f64 a (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) 1/3)))
▶	62.3b	(*.f64 2/3 (/.f64 b a))
	37.1b	(.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))) b))) (/.f64 1/3 a))
	40.4b	(.f64 (.f64 (.f64 (/.f64 c b) a) 3/2) (/.f64 1 (.f64 a -3)))
	56.7b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
✓	35.3b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
	44.8b	(/.f64 -2/3 (/.f64 a b))
▶	44.9b	(.f64 (.f64 b -2) (/.f64 1 (/.f64 a 1/3)))
	49.8b	(exp.f64 (log.f64 (*.f64 (/.f64 c b) -1/2)))
	40.9b	(.f64 1/3 (.f64 (/.f64 (/.f64 c b) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (*.f64 a -3/2) (cbrt.f64 a))))
	54.5b	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a))))) 2) b) (.f64 3 a))
✓	35.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
	48.3b	(/.f64 (/.f64 (-.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (.f64 3 a))
	44.8b	(/.f64 (*.f64 b -2/3) a)
	36.7b	(.f64 (/.f64 c b) (.f64 (*.f64 a -3/2) (/.f64 1/3 a)))

Compiler

Compiled 1475 to 1113 computations (24.5% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (/.f64 1 a) 1/3)
	0.6b	(+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))
	0.9b	(-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))) b)
	23.2b	(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 (/.f64 1 a) 1/3)
0.0ms	a	@	inf	(*.f64 (/.f64 1 a) 1/3)
0.0ms	a	@	-inf	(*.f64 (/.f64 1 a) 1/3)

rewrite46.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

495×	`pow1_binary64`
483×	`add-sqr-sqrt_binary64`
460×	`add-log-exp_binary64`
460×	`log1p-expm1-u_binary64`
460×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	120	4
2	1311	4

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

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

28 → 16

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
✓	0.2b	(*.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
1.0ms	b	@	0	(*.f64 2/3 (/.f64 b a))
0.0ms	a	@	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))

rewrite53.0ms (0.2%)

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	1610	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))))))))

simplify7.0ms (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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 21 computations (25% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite98.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`pow1_binary64`
908×	`add-log-exp_binary64`
907×	`log1p-expm1-u_binary64`
907×	`expm1-log1p-u_binary64`
102×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	214	15
2	2571	15

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

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

Outputs

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

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-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	10	264
1	14	264
2	18	264
3	22	264
4	23	264

Stop Event

1×

saturated

Counts

124 → 78

Calls

Call 1

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

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

localize50.0ms (0.2%)

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)
	10.9b	(sqrt.f64 (.f64 c (.f64 a -3)))

Compiler

Compiled 45 to 29 computations (35.6% saved)

series3.0ms (0%)

Counts

1 → 14

Calls

9 calls:

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

rewrite67.0ms (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)))))))

simplify15.0ms (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)))

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 a)
✓	3.8b	(/.f64 (/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) 1/3) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	5.8b	(.f64 (/.f64 c b) (.f64 a -3/2))
✓	6.8b	(/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) 1/3) (pow.f64 (cbrt.f64 a) 2))

Compiler

Compiled 68 to 37 computations (45.6% saved)

series17.0ms (0.1%)

Counts

3 → 60

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	c	@	0	(/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) 1/3) (pow.f64 (cbrt.f64 a) 2))
3.0ms	a	@	-inf	(/.f64 (/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) 1/3) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
2.0ms	b	@	0	(/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) 1/3) (pow.f64 (cbrt.f64 a) 2))
1.0ms	a	@	-inf	(/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) 1/3) (pow.f64 (cbrt.f64 a) 2))
1.0ms	a	@	0	(/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) 1/3) (pow.f64 (cbrt.f64 a) 2))

rewrite88.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

882×	`log-prod_binary64`
280×	`expm1-udef_binary64`
280×	`log1p-udef_binary64`
260×	`pow3_binary64`
235×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	50
1	328	34
2	4409	34

Stop Event

1×	node limit

Counts

3 → 126

Calls

Call 1

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

Outputs

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

simplify188.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

818×	`unswap-sqr_binary64`
581×	`associate-/l*_binary64`
547×	`*-commutative_binary64`
462×	`associate-/r*_binary64`
394×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	540
1	31	540
2	65	540
3	142	540
4	430	540
5	1630	540
6	4062	540
7	4492	540
8	5777	540
9	5893	540
10	6056	540
11	6278	540
12	6590	540
13	7078	540
14	7614	540

Stop Event

1×	node limit

Counts

186 → 129

Calls

Call 1

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

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

eval334.0ms (1.5%)

Compiler: Compiled 13994 to 8807 computations (37.1% saved)

prune169.0ms (0.7%)

Pruning

58 alts after pruning (50 fresh and 8 done)

	Pruned	Kept	Total
New	664	17	681
Fresh	7	33	40
Picked	1	0	1
Done	2	8	10
Total	674	58	732

Error

0.7b

Counts

732 → 58

Alt Table

Click to see full alt table

Status	Error	Program
	62.3b	(.f64 (.f64 b -2) (/.f64 -1/3 a))
	42.3b	(/.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 (/.f64 c b) (.f64 a -3/2)))) 3)) (*.f64 3 a))
	42.0b	(.f64 1/3 (/.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)))) a))
	43.0b	(/.f64 (.f64 c (.f64 -3/2 (/.f64 a b))) (*.f64 3 a))
	53.1b	(/.f64 (expm1.f64 (pow.f64 (pow.f64 (log1p.f64 (.f64 (/.f64 c b) (.f64 a -3/2))) 3) 1/3)) (*.f64 3 a))
	45.3b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
	47.0b	(/.f64 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) 1/3)))
	44.8b	(/.f64 (/.f64 (*.f64 b -2) a) 3)
	47.0b	(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (*.f64 a 3))
	41.3b	(.f64 1/3 (.f64 (/.f64 (/.f64 c b) a) (*.f64 a -3/2)))
	47.5b	(-.f64 (+.f64 1 (*.f64 b (/.f64 -2/3 a))) 1)
	49.7b	(.f64 1/3 (exp.f64 (log.f64 (.f64 (/.f64 c b) -3/2))))
✓	44.8b	(*.f64 -2/3 (/.f64 b a))
	50.9b	(/.f64 (/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) 1/3) (pow.f64 (exp.f64 (log.f64 (cbrt.f64 a))) 2)) (cbrt.f64 a))
	40.3b	(.f64 (/.f64 (.f64 (/.f64 c b) a) a) -1/2)
	45.3b	(/.f64 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 b -2)) (*.f64 3 a))
	53.8b	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) b) (.f64 3 a))
	39.1b	(.f64 1/3 (expm1.f64 (log1p.f64 (.f64 (/.f64 c b) -3/2))))
✓	35.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	36.6b	(/.f64 (*.f64 -1/2 c) b)
	54.5b	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) (.f64 3 a))
	36.6b	(/.f64 (*.f64 (/.f64 c b) 1/3) -2/3)
	38.3b	(.f64 (/.f64 (.f64 a -3/2) (pow.f64 (cbrt.f64 (.f64 a 3)) 2)) (/.f64 (/.f64 c b) (cbrt.f64 (.f64 a 3))))
	46.9b	(.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 (/.f64 1 a) 1/3))
	36.7b	(.f64 (/.f64 c b) (.f64 (*.f64 a -3/2) (/.f64 1/3 a)))
	44.8b	(/.f64 (.f64 b -2) (.f64 a 3))
	53.0b	(.f64 (.f64 b -2) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 a 3) 3))))
	57.2b	(.f64 (.f64 b -2) (pow.f64 (/.f64 1/27 (pow.f64 a 3)) 1/3))
	36.7b	(*.f64 c (/.f64 -1/2 b))
	44.9b	(/.f64 -2 (/.f64 (*.f64 a 3) b))
	43.3b	(.f64 1/3 (/.f64 (/.f64 c (/.f64 b (.f64 a -3/2))) a))
	53.0b	(.f64 (.f64 b -2) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
	36.9b	(*.f64 1/3 (/.f64 -3/2 (/.f64 b c)))
✓	46.9b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	49.3b	(/.f64 (.f64 -1/2 (.f64 (/.f64 c b) (pow.f64 (*.f64 1 a) 1/3))) (cbrt.f64 a))
	62.3b	(/.f64 (/.f64 (*.f64 2/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	35.4b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1 (/.f64 a 1/3)))
	46.9b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
	55.4b	(exp.f64 (log.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))))
	47.8b	(/.f64 (.f64 (/.f64 1/3 a) (-.f64 (.f64 -3 (.f64 c a)) (.f64 b b))) (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b))
✓	40.3b	(.f64 1/3 (/.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) a))
	62.3b	(/.f64 b (/.f64 a 2/3))
	42.0b	(/.f64 (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (.f64 (/.f64 c b) (.f64 a -3/2)))))) (*.f64 3 a))
	40.4b	(/.f64 1 (/.f64 a (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) 1/3)))
✓	62.3b	(*.f64 2/3 (/.f64 b a))
	37.1b	(.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))) b))) (/.f64 1/3 a))
	40.4b	(.f64 (.f64 (.f64 (/.f64 c b) a) 3/2) (/.f64 1 (.f64 a -3)))
	45.2b	(.f64 (.f64 b -2) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 a 3)) 3)))
✓	35.3b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
	44.8b	(/.f64 -2/3 (/.f64 a b))
✓	44.9b	(.f64 (.f64 b -2) (/.f64 1 (/.f64 a 1/3)))
	42.2b	(.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 (/.f64 1 a) 1/3))
	49.8b	(exp.f64 (log.f64 (*.f64 (/.f64 c b) -1/2)))
	40.9b	(.f64 1/3 (.f64 (/.f64 (/.f64 c b) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (*.f64 a -3/2) (cbrt.f64 a))))
	54.5b	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a))))) 2) b) (.f64 3 a))
✓	35.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
	57.9b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
	44.8b	(/.f64 (*.f64 b -2/3) a)

Compiler

Compiled 876 to 666 computations (24% saved)

regimes2.9s (12.5%)

Counts

100 → 3

Calls

Call 1

Inputs
(/.f64 (*.f64 -1/2 c) b)
(*.f64 c (/.f64 -1/2 b))
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 0 (*.f64 3 a))
(*.f64 (/.f64 c b) -1/2)
(/.f64 (*.f64 b -2/3) a)
(/.f64 (/.f64 (*.f64 b -2) a) 3)
(/.f64 (.f64 b -2) (.f64 a 3))
(/.f64 -2 (/.f64 (*.f64 a 3) b))
(.f64 (.f64 b -2) (/.f64 -1/3 a))
(/.f64 (*.f64 (/.f64 c b) 1/3) -2/3)
(*.f64 1/3 (/.f64 -3/2 (/.f64 b c)))
(/.f64 1 (/.f64 a (*.f64 b -2/3)))
(/.f64 (.f64 b -2) (.f64 a 3))
(.f64 (.f64 (/.f64 c b) 1/3) -3/2)
(/.f64 (.f64 b -2) (.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(.f64 (.f64 b -2) (/.f64 1/3 a))
(.f64 (.f64 b -2) (/.f64 1 (/.f64 a 1/3)))
(-.f64 (+.f64 1 (*.f64 b (/.f64 -2/3 a))) 1)
(.f64 (/.f64 (.f64 (/.f64 c b) a) a) -1/2)
(.f64 1/3 (.f64 (/.f64 (/.f64 c b) a) (*.f64 a -3/2)))
(.f64 1/3 (/.f64 (/.f64 c (/.f64 b (.f64 a -3/2))) a))
(.f64 (/.f64 c b) (.f64 (*.f64 a -3/2) (/.f64 1/3 a)))
(/.f64 (.f64 c (.f64 -3/2 (/.f64 a b))) (*.f64 3 a))
(/.f64 (/.f64 (.f64 c (.f64 a -3/2)) b) (*.f64 3 a))
(.f64 (.f64 a -3/2) (*.f64 (/.f64 c b) (/.f64 1/3 a)))
(.f64 (.f64 (/.f64 c b) a) (*.f64 -3/2 (/.f64 1/3 a)))
(.f64 1/3 (/.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) a))
(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 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 -3/2 (/.f64 (.f64 c a) b)) (.f64 (/.f64 1 a) 1/3))
(/.f64 1 (/.f64 a (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) 1/3)))
(.f64 (.f64 (.f64 (/.f64 c b) a) 3/2) (/.f64 1 (.f64 a -3)))
(.f64 (.f64 (.f64 (/.f64 c b) a) 3/2) (/.f64 1 (.f64 a -3)))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
(.f64 (.f64 b -2) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))
(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 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 (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 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) 1/3)))
(.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 (/.f64 1 a) 1/3))
(/.f64 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 b -2)) (*.f64 3 a))
(.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 1 (/.f64 a 1/3)))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (*.f64 (/.f64 1 a) 1/3))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (.f64 3 c)))))) (.f64 3 a))
(/.f64 (.f64 (/.f64 1/3 a) (-.f64 (.f64 -3 (.f64 c a)) (.f64 b b))) (+.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b))
(exp.f64 (log.f64 (*.f64 (/.f64 c b) -1/2)))
(.f64 1/3 (exp.f64 (log.f64 (.f64 (/.f64 c b) -3/2))))
(.f64 1/3 (expm1.f64 (log1p.f64 (.f64 (/.f64 c b) -3/2))))
(pow.f64 (pow.f64 (*.f64 (/.f64 c b) -1/2) 3) 1/3)
(.f64 (.f64 b -2) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
(.f64 (.f64 b -2) (pow.f64 (/.f64 1/27 (pow.f64 a 3)) 1/3))
(.f64 (.f64 b -2) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (sqrt.f64 b) 2)) (*.f64 3 a))
(.f64 (.f64 b -2) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 a 3) 3))))
(.f64 (.f64 b -2) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 a 3)) 3)))
(.f64 1/3 (/.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)))) a))
(/.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 c b) (.f64 a -3/2)))) (*.f64 3 a))
(/.f64 (.f64 -1/2 (.f64 (/.f64 c b) (pow.f64 (*.f64 1 a) 1/3))) (cbrt.f64 a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (.f64 c (.f64 a -3)) 1/4) 2)) (*.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 (*.f64 2/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(exp.f64 (log.f64 (.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
(.f64 (-.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -3) (*.f64 b b))) 3/2) b) (/.f64 1/3 a))
(/.f64 (/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) 1/3) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(.f64 1/3 (.f64 (/.f64 (/.f64 c b) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (*.f64 a -3/2) (cbrt.f64 a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (pow.f64 (.f64 a 3) -1))
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2))) (*.f64 3 a))
(.f64 (/.f64 (.f64 a -3/2) (pow.f64 (cbrt.f64 (.f64 a 3)) 2)) (/.f64 (/.f64 c b) (cbrt.f64 (.f64 a 3))))
(.f64 (/.f64 (.f64 a -3/2) (pow.f64 (cbrt.f64 (.f64 a 3)) 2)) (/.f64 (/.f64 c b) (cbrt.f64 (.f64 a 3))))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2)) (*.f64 3 a))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
(/.f64 (/.f64 (-.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (.f64 3 a))
(/.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 (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (.f64 (/.f64 c b) (.f64 a -3/2)))))) (*.f64 3 a))
(/.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 (/.f64 c b) (.f64 a -3/2)))) 3)) (*.f64 3 a))
(.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))) b))) (/.f64 1/3 a))
(.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))) b))) (/.f64 1/3 a))
(/.f64 (expm1.f64 (pow.f64 (pow.f64 (log1p.f64 (.f64 (/.f64 c b) (.f64 a -3/2))) 3) 1/3)) (*.f64 3 a))
(.f64 (-.f64 (pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) 3) b) (/.f64 1/3 a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -3 c)) (.f64 -1 (log.f64 (/.f64 1 a)))))) 2) b) (.f64 3 a))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 3 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) (.f64 3 a))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (.f64 -3 a))))) 2) b) (.f64 3 a))
(/.f64 (/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) 1/3) (pow.f64 (exp.f64 (log.f64 (cbrt.f64 a))) 2)) (cbrt.f64 a))

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

915.0ms	a
569.0ms	(*.f64 3 a)
487.0ms	(*.f64 3 a)
486.0ms	c
196.0ms	b

Results

Error	Segments	Branch
24.6b	8	`a`
8.8b	3	`b`
25.5b	9	`c`
11.0b	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
24.6b	8	`(*.f64 3 a)`
24.6b	8	`(*.f64 3 a)`

Compiler

Compiled 1305 to 837 computations (35.9% saved)

bsearch151.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
108.0ms	8.312845669389242e-67	1.4681533159858108e-64
42.0ms	-5.585157351463152e+154	-2.2860845854443212e+150

Compiler

Compiled 548 to 397 computations (27.6% saved)

regimes1.3s (5.6%)

Counts

54 → 3

Calls

Call 1

Inputs
(/.f64 (*.f64 -1/2 c) b)
(*.f64 c (/.f64 -1/2 b))
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 0 (*.f64 3 a))
(*.f64 (/.f64 c b) -1/2)
(/.f64 (*.f64 b -2/3) a)
(/.f64 (/.f64 (*.f64 b -2) a) 3)
(/.f64 (.f64 b -2) (.f64 a 3))
(/.f64 -2 (/.f64 (*.f64 a 3) b))
(.f64 (.f64 b -2) (/.f64 -1/3 a))
(/.f64 (*.f64 (/.f64 c b) 1/3) -2/3)
(*.f64 1/3 (/.f64 -3/2 (/.f64 b c)))
(/.f64 1 (/.f64 a (*.f64 b -2/3)))
(/.f64 (.f64 b -2) (.f64 a 3))
(.f64 (.f64 (/.f64 c b) 1/3) -3/2)
(/.f64 (.f64 b -2) (.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(.f64 (.f64 b -2) (/.f64 1/3 a))
(.f64 (.f64 b -2) (/.f64 1 (/.f64 a 1/3)))
(-.f64 (+.f64 1 (*.f64 b (/.f64 -2/3 a))) 1)
(.f64 (/.f64 (.f64 (/.f64 c b) a) a) -1/2)
(.f64 1/3 (.f64 (/.f64 (/.f64 c b) a) (*.f64 a -3/2)))
(.f64 1/3 (/.f64 (/.f64 c (/.f64 b (.f64 a -3/2))) a))
(.f64 (/.f64 c b) (.f64 (*.f64 a -3/2) (/.f64 1/3 a)))
(/.f64 (.f64 c (.f64 -3/2 (/.f64 a b))) (*.f64 3 a))
(/.f64 (/.f64 (.f64 c (.f64 a -3/2)) b) (*.f64 3 a))
(.f64 (.f64 a -3/2) (*.f64 (/.f64 c b) (/.f64 1/3 a)))
(.f64 (.f64 (/.f64 c b) a) (*.f64 -3/2 (/.f64 1/3 a)))
(.f64 1/3 (/.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) a))
(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 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 -3/2 (/.f64 (.f64 c a) b)) (.f64 (/.f64 1 a) 1/3))
(/.f64 1 (/.f64 a (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) 1/3)))
(.f64 (.f64 (.f64 (/.f64 c b) a) 3/2) (/.f64 1 (.f64 a -3)))
(.f64 (.f64 (.f64 (/.f64 c b) a) 3/2) (/.f64 1 (.f64 a -3)))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
(.f64 (.f64 b -2) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))
(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 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 (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 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) 1/3)))
(.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 (/.f64 1 a) 1/3))
(/.f64 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 b -2)) (*.f64 3 a))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))

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

460.0ms	(*.f64 3 a)
283.0ms	a
236.0ms	(*.f64 3 a)
149.0ms	c
127.0ms	b

Results

Error	Segments	Branch
26.2b	7	`a`
8.9b	3	`b`
27.9b	5	`c`
26.2b	7	`(*.f64 3 a)`
26.2b	7	`(*.f64 3 a)`

Compiler

Compiled 543 to 337 computations (37.9% saved)

bsearch146.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
71.0ms	8.312845669389242e-67	1.4681533159858108e-64
74.0ms	-5.786015726534263e+76	-9.563397793285348e+73

Compiler

Compiled 533 to 382 computations (28.3% saved)

regimes1.1s (4.8%)

Counts

53 → 3

Calls

Call 1

Inputs
(/.f64 (*.f64 -1/2 c) b)
(*.f64 c (/.f64 -1/2 b))
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 0 (*.f64 3 a))
(*.f64 (/.f64 c b) -1/2)
(/.f64 (*.f64 b -2/3) a)
(/.f64 (/.f64 (*.f64 b -2) a) 3)
(/.f64 (.f64 b -2) (.f64 a 3))
(/.f64 -2 (/.f64 (*.f64 a 3) b))
(.f64 (.f64 b -2) (/.f64 -1/3 a))
(/.f64 (*.f64 (/.f64 c b) 1/3) -2/3)
(*.f64 1/3 (/.f64 -3/2 (/.f64 b c)))
(/.f64 1 (/.f64 a (*.f64 b -2/3)))
(/.f64 (.f64 b -2) (.f64 a 3))
(.f64 (.f64 (/.f64 c b) 1/3) -3/2)
(/.f64 (.f64 b -2) (.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(.f64 (.f64 b -2) (/.f64 1/3 a))
(.f64 (.f64 b -2) (/.f64 1 (/.f64 a 1/3)))
(-.f64 (+.f64 1 (*.f64 b (/.f64 -2/3 a))) 1)
(.f64 (/.f64 (.f64 (/.f64 c b) a) a) -1/2)
(.f64 1/3 (.f64 (/.f64 (/.f64 c b) a) (*.f64 a -3/2)))
(.f64 1/3 (/.f64 (/.f64 c (/.f64 b (.f64 a -3/2))) a))
(.f64 (/.f64 c b) (.f64 (*.f64 a -3/2) (/.f64 1/3 a)))
(/.f64 (.f64 c (.f64 -3/2 (/.f64 a b))) (*.f64 3 a))
(/.f64 (/.f64 (.f64 c (.f64 a -3/2)) b) (*.f64 3 a))
(.f64 (.f64 a -3/2) (*.f64 (/.f64 c b) (/.f64 1/3 a)))
(.f64 (.f64 (/.f64 c b) a) (*.f64 -3/2 (/.f64 1/3 a)))
(.f64 1/3 (/.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) a))
(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 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 -3/2 (/.f64 (.f64 c a) b)) (.f64 (/.f64 1 a) 1/3))
(/.f64 1 (/.f64 a (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) 1/3)))
(.f64 (.f64 (.f64 (/.f64 c b) a) 3/2) (/.f64 1 (.f64 a -3)))
(.f64 (.f64 (.f64 (/.f64 c b) a) 3/2) (/.f64 1 (.f64 a -3)))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
(.f64 (.f64 b -2) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))
(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 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 (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 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) 1/3)))
(.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 (/.f64 1 a) 1/3))
(/.f64 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 b -2)) (*.f64 3 a))

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

291.0ms	(*.f64 3 a)
241.0ms	a
217.0ms	(*.f64 3 a)
202.0ms	c
126.0ms	b

Results

Error	Segments	Branch
30.3b	8	`a`
11.2b	3	`b`
31.1b	7	`c`
30.3b	8	`(*.f64 3 a)`
30.3b	8	`(*.f64 3 a)`

Compiler

Compiled 527 to 328 computations (37.8% saved)

bsearch125.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
62.0ms	8.312845669389242e-67	1.4681533159858108e-64
63.0ms	-4.7010209940211056e-57	-6.291462610511085e-64

Compiler

Compiled 523 to 393 computations (24.9% saved)

regimes1.3s (5.4%)

Counts

52 → 3

Calls

Call 1

Inputs
(/.f64 (*.f64 -1/2 c) b)
(*.f64 c (/.f64 -1/2 b))
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 0 (*.f64 3 a))
(*.f64 (/.f64 c b) -1/2)
(/.f64 (*.f64 b -2/3) a)
(/.f64 (/.f64 (*.f64 b -2) a) 3)
(/.f64 (.f64 b -2) (.f64 a 3))
(/.f64 -2 (/.f64 (*.f64 a 3) b))
(.f64 (.f64 b -2) (/.f64 -1/3 a))
(/.f64 (*.f64 (/.f64 c b) 1/3) -2/3)
(*.f64 1/3 (/.f64 -3/2 (/.f64 b c)))
(/.f64 1 (/.f64 a (*.f64 b -2/3)))
(/.f64 (.f64 b -2) (.f64 a 3))
(.f64 (.f64 (/.f64 c b) 1/3) -3/2)
(/.f64 (.f64 b -2) (.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(.f64 (.f64 b -2) (/.f64 1/3 a))
(.f64 (.f64 b -2) (/.f64 1 (/.f64 a 1/3)))
(-.f64 (+.f64 1 (*.f64 b (/.f64 -2/3 a))) 1)
(.f64 (/.f64 (.f64 (/.f64 c b) a) a) -1/2)
(.f64 1/3 (.f64 (/.f64 (/.f64 c b) a) (*.f64 a -3/2)))
(.f64 1/3 (/.f64 (/.f64 c (/.f64 b (.f64 a -3/2))) a))
(.f64 (/.f64 c b) (.f64 (*.f64 a -3/2) (/.f64 1/3 a)))
(/.f64 (.f64 c (.f64 -3/2 (/.f64 a b))) (*.f64 3 a))
(/.f64 (/.f64 (.f64 c (.f64 a -3/2)) b) (*.f64 3 a))
(.f64 (.f64 a -3/2) (*.f64 (/.f64 c b) (/.f64 1/3 a)))
(.f64 (.f64 (/.f64 c b) a) (*.f64 -3/2 (/.f64 1/3 a)))
(.f64 1/3 (/.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) a))
(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 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 -3/2 (/.f64 (.f64 c a) b)) (.f64 (/.f64 1 a) 1/3))
(/.f64 1 (/.f64 a (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) 1/3)))
(.f64 (.f64 (.f64 (/.f64 c b) a) 3/2) (/.f64 1 (.f64 a -3)))
(.f64 (.f64 (.f64 (/.f64 c b) a) 3/2) (/.f64 1 (.f64 a -3)))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
(.f64 (.f64 b -2) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))
(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 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 (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 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) 1/3)))
(.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 (/.f64 1 a) 1/3))

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

Calls

5 calls:

463.0ms	(*.f64 3 a)
264.0ms	c
194.0ms	(*.f64 3 a)
186.0ms	a
131.0ms	b

Results

Error	Segments	Branch
30.3b	8	`a`
11.2b	3	`b`
31.1b	7	`c`
30.3b	8	`(*.f64 3 a)`
30.3b	8	`(*.f64 3 a)`

Compiler

Compiled 513 to 321 computations (37.4% saved)

bsearch184.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
119.0ms	8.312845669389242e-67	1.4681533159858108e-64
64.0ms	-4.7010209940211056e-57	-6.291462610511085e-64

Compiler

Compiled 460 to 357 computations (22.4% saved)

regimes1.8s (7.7%)

Counts

49 → 3

Calls

Call 1

Inputs
(/.f64 (*.f64 -1/2 c) b)
(*.f64 c (/.f64 -1/2 b))
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 0 (*.f64 3 a))
(*.f64 (/.f64 c b) -1/2)
(/.f64 (*.f64 b -2/3) a)
(/.f64 (/.f64 (*.f64 b -2) a) 3)
(/.f64 (.f64 b -2) (.f64 a 3))
(/.f64 -2 (/.f64 (*.f64 a 3) b))
(.f64 (.f64 b -2) (/.f64 -1/3 a))
(/.f64 (*.f64 (/.f64 c b) 1/3) -2/3)
(*.f64 1/3 (/.f64 -3/2 (/.f64 b c)))
(/.f64 1 (/.f64 a (*.f64 b -2/3)))
(/.f64 (.f64 b -2) (.f64 a 3))
(.f64 (.f64 (/.f64 c b) 1/3) -3/2)
(/.f64 (.f64 b -2) (.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(.f64 (.f64 b -2) (/.f64 1/3 a))
(.f64 (.f64 b -2) (/.f64 1 (/.f64 a 1/3)))
(-.f64 (+.f64 1 (*.f64 b (/.f64 -2/3 a))) 1)
(.f64 (/.f64 (.f64 (/.f64 c b) a) a) -1/2)
(.f64 1/3 (.f64 (/.f64 (/.f64 c b) a) (*.f64 a -3/2)))
(.f64 1/3 (/.f64 (/.f64 c (/.f64 b (.f64 a -3/2))) a))
(.f64 (/.f64 c b) (.f64 (*.f64 a -3/2) (/.f64 1/3 a)))
(/.f64 (.f64 c (.f64 -3/2 (/.f64 a b))) (*.f64 3 a))
(/.f64 (/.f64 (.f64 c (.f64 a -3/2)) b) (*.f64 3 a))
(.f64 (.f64 a -3/2) (*.f64 (/.f64 c b) (/.f64 1/3 a)))
(.f64 (.f64 (/.f64 c b) a) (*.f64 -3/2 (/.f64 1/3 a)))
(.f64 1/3 (/.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) a))
(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 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 -3/2 (/.f64 (.f64 c a) b)) (.f64 (/.f64 1 a) 1/3))
(/.f64 1 (/.f64 a (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) 1/3)))
(.f64 (.f64 (.f64 (/.f64 c b) a) 3/2) (/.f64 1 (.f64 a -3)))
(.f64 (.f64 (.f64 (/.f64 c b) a) 3/2) (/.f64 1 (.f64 a -3)))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
(.f64 (.f64 b -2) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))
(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 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 (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 -2) (.f64 a 3))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
(/.f64 (*.f64 -1/2 c) b)

Calls

5 calls:

509.0ms	(*.f64 3 a)
464.0ms	(*.f64 3 a)
391.0ms	c
245.0ms	a
147.0ms	b

Results

Error	Segments	Branch
30.3b	8	`a`
11.2b	3	`b`
31.1b	7	`c`
30.3b	8	`(*.f64 3 a)`
30.3b	8	`(*.f64 3 a)`

Compiler

Compiled 472 to 293 computations (37.9% saved)

bsearch168.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
67.0ms	8.312845669389242e-67	1.4681533159858108e-64
100.0ms	-4.7010209940211056e-57	-6.291462610511085e-64

Compiler

Compiled 444 to 341 computations (23.2% saved)

regimes1.1s (4.9%)

Counts

45 → 3

Calls

Call 1

Inputs
(/.f64 (*.f64 -1/2 c) b)
(*.f64 c (/.f64 -1/2 b))
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 0 (*.f64 3 a))
(*.f64 (/.f64 c b) -1/2)
(/.f64 (*.f64 b -2/3) a)
(/.f64 (/.f64 (*.f64 b -2) a) 3)
(/.f64 (.f64 b -2) (.f64 a 3))
(/.f64 -2 (/.f64 (*.f64 a 3) b))
(.f64 (.f64 b -2) (/.f64 -1/3 a))
(/.f64 (*.f64 (/.f64 c b) 1/3) -2/3)
(*.f64 1/3 (/.f64 -3/2 (/.f64 b c)))
(/.f64 1 (/.f64 a (*.f64 b -2/3)))
(/.f64 (.f64 b -2) (.f64 a 3))
(.f64 (.f64 (/.f64 c b) 1/3) -3/2)
(/.f64 (.f64 b -2) (.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(.f64 (.f64 b -2) (/.f64 1/3 a))
(.f64 (.f64 b -2) (/.f64 1 (/.f64 a 1/3)))
(-.f64 (+.f64 1 (*.f64 b (/.f64 -2/3 a))) 1)
(.f64 (/.f64 (.f64 (/.f64 c b) a) a) -1/2)
(.f64 1/3 (.f64 (/.f64 (/.f64 c b) a) (*.f64 a -3/2)))
(.f64 1/3 (/.f64 (/.f64 c (/.f64 b (.f64 a -3/2))) a))
(.f64 (/.f64 c b) (.f64 (*.f64 a -3/2) (/.f64 1/3 a)))
(/.f64 (.f64 c (.f64 -3/2 (/.f64 a b))) (*.f64 3 a))
(/.f64 (/.f64 (.f64 c (.f64 a -3/2)) b) (*.f64 3 a))
(.f64 (.f64 a -3/2) (*.f64 (/.f64 c b) (/.f64 1/3 a)))
(.f64 (.f64 (/.f64 c b) a) (*.f64 -3/2 (/.f64 1/3 a)))
(.f64 1/3 (/.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) a))
(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 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 -3/2 (/.f64 (.f64 c a) b)) (.f64 (/.f64 1 a) 1/3))
(/.f64 1 (/.f64 a (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) 1/3)))
(.f64 (.f64 (.f64 (/.f64 c b) a) 3/2) (/.f64 1 (.f64 a -3)))
(.f64 (.f64 (.f64 (/.f64 c b) a) 3/2) (/.f64 1 (.f64 a -3)))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
(.f64 (.f64 b -2) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))
(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 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))

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

Calls

5 calls:

380.0ms	a
205.0ms	(*.f64 3 a)
200.0ms	c
170.0ms	(*.f64 3 a)
162.0ms	b

Results

Error	Segments	Branch
30.3b	8	`a`
11.3b	3	`b`
31.1b	7	`c`
30.3b	8	`(*.f64 3 a)`
30.3b	8	`(*.f64 3 a)`

Compiler

Compiled 424 to 263 computations (38% saved)

bsearch161.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
96.0ms	8.312845669389242e-67	1.4681533159858108e-64
65.0ms	-4.7010209940211056e-57	-6.291462610511085e-64

Compiler

Compiled 444 to 341 computations (23.2% saved)

regimes1.4s (6.2%)

Counts

44 → 3

Calls

Call 1

Inputs
(/.f64 (*.f64 -1/2 c) b)
(*.f64 c (/.f64 -1/2 b))
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 0 (*.f64 3 a))
(*.f64 (/.f64 c b) -1/2)
(/.f64 (*.f64 b -2/3) a)
(/.f64 (/.f64 (*.f64 b -2) a) 3)
(/.f64 (.f64 b -2) (.f64 a 3))
(/.f64 -2 (/.f64 (*.f64 a 3) b))
(.f64 (.f64 b -2) (/.f64 -1/3 a))
(/.f64 (*.f64 (/.f64 c b) 1/3) -2/3)
(*.f64 1/3 (/.f64 -3/2 (/.f64 b c)))
(/.f64 1 (/.f64 a (*.f64 b -2/3)))
(/.f64 (.f64 b -2) (.f64 a 3))
(.f64 (.f64 (/.f64 c b) 1/3) -3/2)
(/.f64 (.f64 b -2) (.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(.f64 (.f64 b -2) (/.f64 1/3 a))
(.f64 (.f64 b -2) (/.f64 1 (/.f64 a 1/3)))
(-.f64 (+.f64 1 (*.f64 b (/.f64 -2/3 a))) 1)
(.f64 (/.f64 (.f64 (/.f64 c b) a) a) -1/2)
(.f64 1/3 (.f64 (/.f64 (/.f64 c b) a) (*.f64 a -3/2)))
(.f64 1/3 (/.f64 (/.f64 c (/.f64 b (.f64 a -3/2))) a))
(.f64 (/.f64 c b) (.f64 (*.f64 a -3/2) (/.f64 1/3 a)))
(/.f64 (.f64 c (.f64 -3/2 (/.f64 a b))) (*.f64 3 a))
(/.f64 (/.f64 (.f64 c (.f64 a -3/2)) b) (*.f64 3 a))
(.f64 (.f64 a -3/2) (*.f64 (/.f64 c b) (/.f64 1/3 a)))
(.f64 (.f64 (/.f64 c b) a) (*.f64 -3/2 (/.f64 1/3 a)))
(.f64 1/3 (/.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) a))
(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 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 -3/2 (/.f64 (.f64 c a) b)) (.f64 (/.f64 1 a) 1/3))
(/.f64 1 (/.f64 a (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) 1/3)))
(.f64 (.f64 (.f64 (/.f64 c b) a) 3/2) (/.f64 1 (.f64 a -3)))
(.f64 (.f64 (.f64 (/.f64 c b) a) 3/2) (/.f64 1 (.f64 a -3)))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
(.f64 (.f64 b -2) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))
(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))
(/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (*.f64 a 3))

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

Calls

5 calls:

460.0ms	(*.f64 3 a)
367.0ms	a
285.0ms	c
189.0ms	(*.f64 3 a)
122.0ms	b

Results

Error	Segments	Branch
30.3b	8	`a`
11.3b	3	`b`
31.1b	7	`c`
30.3b	8	`(*.f64 3 a)`
30.3b	8	`(*.f64 3 a)`

Compiler

Compiled 412 to 256 computations (37.9% saved)

bsearch178.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
85.0ms	8.312845669389242e-67	1.4681533159858108e-64
93.0ms	-4.7010209940211056e-57	-6.291462610511085e-64

Compiler

Compiled 444 to 341 computations (23.2% saved)

regimes697.0ms (3%)

Counts

43 → 2

Calls

Call 1

Inputs
(/.f64 (*.f64 -1/2 c) b)
(*.f64 c (/.f64 -1/2 b))
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 0 (*.f64 3 a))
(*.f64 (/.f64 c b) -1/2)
(/.f64 (*.f64 b -2/3) a)
(/.f64 (/.f64 (*.f64 b -2) a) 3)
(/.f64 (.f64 b -2) (.f64 a 3))
(/.f64 -2 (/.f64 (*.f64 a 3) b))
(.f64 (.f64 b -2) (/.f64 -1/3 a))
(/.f64 (*.f64 (/.f64 c b) 1/3) -2/3)
(*.f64 1/3 (/.f64 -3/2 (/.f64 b c)))
(/.f64 1 (/.f64 a (*.f64 b -2/3)))
(/.f64 (.f64 b -2) (.f64 a 3))
(.f64 (.f64 (/.f64 c b) 1/3) -3/2)
(/.f64 (.f64 b -2) (.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(.f64 (.f64 b -2) (/.f64 1/3 a))
(.f64 (.f64 b -2) (/.f64 1 (/.f64 a 1/3)))
(-.f64 (+.f64 1 (*.f64 b (/.f64 -2/3 a))) 1)
(.f64 (/.f64 (.f64 (/.f64 c b) a) a) -1/2)
(.f64 1/3 (.f64 (/.f64 (/.f64 c b) a) (*.f64 a -3/2)))
(.f64 1/3 (/.f64 (/.f64 c (/.f64 b (.f64 a -3/2))) a))
(.f64 (/.f64 c b) (.f64 (*.f64 a -3/2) (/.f64 1/3 a)))
(/.f64 (.f64 c (.f64 -3/2 (/.f64 a b))) (*.f64 3 a))
(/.f64 (/.f64 (.f64 c (.f64 a -3/2)) b) (*.f64 3 a))
(.f64 (.f64 a -3/2) (*.f64 (/.f64 c b) (/.f64 1/3 a)))
(.f64 (.f64 (/.f64 c b) a) (*.f64 -3/2 (/.f64 1/3 a)))
(.f64 1/3 (/.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) a))
(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 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 -3/2 (/.f64 (.f64 c a) b)) (.f64 (/.f64 1 a) 1/3))
(/.f64 1 (/.f64 a (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) 1/3)))
(.f64 (.f64 (.f64 (/.f64 c b) a) 3/2) (/.f64 1 (.f64 a -3)))
(.f64 (.f64 (.f64 (/.f64 c b) a) 3/2) (/.f64 1 (.f64 a -3)))
(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
(.f64 (.f64 b -2) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))
(.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (/.f64 1/3 a))

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

Calls

5 calls:

237.0ms	c
156.0ms	(*.f64 3 a)
155.0ms	a
89.0ms	(*.f64 3 a)
46.0ms	b

Results

Error	Segments	Branch
33.7b	4	`a`
19.0b	2	`b`
34.1b	3	`c`
33.7b	4	`(*.f64 3 a)`
33.7b	4	`(*.f64 3 a)`

Compiler

Compiled 400 to 249 computations (37.8% saved)

bsearch38.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
37.0ms	2.649193336105052e-219	9.374936506644162e-207

Compiler

Compiled 226 to 179 computations (20.8% saved)

regimes280.0ms (1.2%)

Counts

10 → 2

Calls

Call 1

Inputs
(/.f64 (*.f64 -1/2 c) b)
(*.f64 c (/.f64 -1/2 b))
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 0 (*.f64 3 a))
(*.f64 (/.f64 c b) -1/2)
(/.f64 (*.f64 b -2/3) a)
(/.f64 (/.f64 (*.f64 b -2) a) 3)

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

Calls

5 calls:

123.0ms	b
55.0ms	a
54.0ms	(*.f64 3 a)
23.0ms	(*.f64 3 a)
22.0ms	c

Results

Error	Segments	Branch
33.7b	4	`a`
19.0b	2	`b`
34.1b	3	`c`
33.7b	4	`(*.f64 3 a)`
33.7b	4	`(*.f64 3 a)`

Compiler

Compiled 79 to 54 computations (31.6% saved)

bsearch64.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
64.0ms	2.649193336105052e-219	9.374936506644162e-207

Compiler

Compiled 206 to 159 computations (22.8% saved)

regimes313.0ms (1.4%)

Counts

8 → 2

Calls

Call 1

Inputs
(/.f64 (*.f64 -1/2 c) b)
(*.f64 c (/.f64 -1/2 b))
(/.f64 b (/.f64 a 2/3))
(*.f64 2/3 (/.f64 b a))
(/.f64 -2/3 (/.f64 a b))
(*.f64 -2/3 (/.f64 b a))
(/.f64 0 (*.f64 3 a))
(*.f64 (/.f64 c b) -1/2)

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

Calls

5 calls:

143.0ms	b
72.0ms	c
56.0ms	(*.f64 3 a)
20.0ms	(*.f64 3 a)
20.0ms	a

Results

Error	Segments	Branch
33.7b	4	`a`
19.0b	2	`b`
34.1b	3	`c`
33.7b	4	`(*.f64 3 a)`
33.7b	4	`(*.f64 3 a)`

Compiler

Compiled 67 to 46 computations (31.3% saved)

bsearch64.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
63.0ms	2.649193336105052e-219	9.374936506644162e-207

Compiler

Compiled 206 to 159 computations (22.8% saved)

regimes134.0ms (0.6%)

Accuracy

Total -26.1b remaining (-71.3%)

Threshold costs -26.1b (-71.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

125.0ms	b
4.0ms	a
4.0ms	c

Results

Error	Segments	Branch
36.6b	1	`a`
36.6b	1	`b`
36.6b	1	`c`

Compiler

Compiled 35 to 24 computations (31.4% saved)

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
10×	`+-commutative_binary64`
9×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	77	443
1	106	441
2	124	441
3	133	441
4	139	441
5	141	441

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b -2300000000000000010434775518776478349517461623870073300632781114903284779180225679393432626322152898978543542144472229570493294831742674096031881232384) (/.f64 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 b -2)) (.f64 3 a)) (if (<=.f64 b 6450267806218241/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (/.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 -96000000000000000882075586470959582145282939593639267130591338101454405632) (/.f64 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 b -2)) (.f64 3 a)) (if (<=.f64 b 6450267806218241/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (.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 -2408475456136177/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (/.f64 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 b -2)) (.f64 3 a)) (if (<=.f64 b 6450267806218241/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (.f64 3 a)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b -2408475456136177/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (/.f64 (.f64 b -2) (.f64 a 3)) (if (<=.f64 b 6450267806218241/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (.f64 3 a)) (/.f64 (.f64 -1/2 c) b)))
(if (<=.f64 b -2408475456136177/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (/.f64 (.f64 b -2) (.f64 a 3)) (if (<=.f64 b 6450267806218241/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (/.f64 1/3 a)) (/.f64 (.f64 -1/2 c) b)))
(if (<=.f64 b -2408475456136177/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (/.f64 (.f64 b -2) (.f64 a 3)) (if (<=.f64 b 6450267806218241/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (/.f64 1/3 a)) (/.f64 (.f64 -1/2 c) b)))
(if (<=.f64 b -2408475456136177/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (/.f64 (.f64 b -2) (.f64 a 3)) (if (<=.f64 b 6450267806218241/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (/.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (.f64 a 3)) (/.f64 (.f64 -1/2 c) b)))
(if (<=.f64 b 3325558837774797/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (/.f64 (.f64 b -2) (.f64 a 3)) (/.f64 (*.f64 -1/2 c) b))
(if (<=.f64 b 3325558837774797/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (/.f64 (.f64 b -2/3) a) (/.f64 (.f64 -1/2 c) b))
(if (<=.f64 b 3325558837774797/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (/.f64 -2/3 (/.f64 a b)) (/.f64 (*.f64 -1/2 c) b))
(/.f64 (*.f64 -1/2 c) b)

Outputs
(if (<=.f64 b -2300000000000000010434775518776478349517461623870073300632781114903284779180225679393432626322152898978543542144472229570493294831742674096031881232384) (/.f64 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 b -2)) (.f64 3 a)) (if (<=.f64 b 6450267806218241/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (/.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 -2300000000000000010434775518776478349517461623870073300632781114903284779180225679393432626322152898978543542144472229570493294831742674096031881232384) (/.f64 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 b -2)) (.f64 a 3)) (if (<=.f64 b 6450267806218241/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 3))))) (.f64 a 3)) (/.f64 (.f64 c -1/2) b)))
(if (<=.f64 b -2300000000000000010434775518776478349517461623870073300632781114903284779180225679393432626322152898978543542144472229570493294831742674096031881232384) (/.f64 (fma.f64 (.f64 (/.f64 c b) a) 3/2 (.f64 b -2)) (.f64 a 3)) (if (<=.f64 b 6450267806218241/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (.f64 a 3)) (/.f64 (.f64 c -1/2) b)))
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(/.f64 (*.f64 -1/2 c) b)
(/.f64 (*.f64 c -1/2) b)

Compiler

Compiled 335 to 235 computations (29.9% saved)

soundness313.0ms (1.4%)

Algorithm

3×	egg-herbie

Rules

762×	`times-frac_binary64`
744×	`fma-def_binary64`
712×	`times-frac_binary64`
670×	`associate-r_binary64`
646×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	603	8409
1	2182	7544
0	134	1915
1	400	1847
2	1367	1799
3	7827	1799
0	117	2037
1	356	1979
2	1197	1922
3	7162	1871

Stop Event

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

Compiler

Compiled 215 to 155 computations (27.9% saved)

end162.0ms (0.7%)

Compiler: Compiled 305 to 199 computations (34.8% saved)