Details

analyze406.0ms (1.7%)

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)

sample2.9s (12.2%)

Results

1.1s	5579×	body	256	valid
657.0ms	1132×	body	2048	valid
368.0ms	749×	body	1024	valid
291.0ms	1559×	body	256	invalid
285.0ms	421×	body	4096	valid
157.0ms	375×	body	512	valid

preprocess94.0ms (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)

simplify124.0ms (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

32.8b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
▶	32.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1/3 a)
✓	0.5b	(.f64 c (.f64 a -3))
✓	0.5b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)
✓	21.0b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))

Compiler

Compiled 62 to 36 computations (41.9% saved)

series20.0ms (0.1%)

Counts

4 → 64

Calls

27 calls:

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

rewrite94.0ms (0.4%)

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	40
1	260	38
2	3291	38

Stop Event

1×	node limit

Counts

4 → 173

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)
(.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 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))))))

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

712×	`times-frac_binary64`
665×	`associate-r_binary64`
623×	`associate-l_binary64`
580×	`fma-def_binary64`
437×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	1513
1	394	1499
2	1353	1451
3	7811	1451

Stop Event

1×	node limit

Counts

237 → 222

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 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -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 c (.f64 c (.f64 a a))) (pow.f64 b 3)) (fma.f64 -3/2 (.f64 (/.f64 c b) a) b))
(fma.f64 -9/8 (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c)) (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)))
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(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 (.f64 -27/16 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5))))
(fma.f64 -9/8 (/.f64 (.f64 c (.f64 c (.f64 a a))) (pow.f64 b 3)) (fma.f64 -27/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -3/2 (/.f64 b (*.f64 c a)))))
(fma.f64 -27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -3/2 (.f64 a (/.f64 c b)) (/.f64 -9/8 (/.f64 (/.f64 (pow.f64 b 3) (.f64 c c)) (.f64 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 (.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 -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 (.f64 c (.f64 a a))) (pow.f64 b 3)) (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 -3/2 (/.f64 b (*.f64 c a))))))
(fma.f64 -3/2 (.f64 a (/.f64 c b)) (fma.f64 -9/8 (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.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)) (.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 -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))

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
✓	0.5b	(.f64 (.f64 3 a) c)
✓	0.5b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
✓	21.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 69 to 35 computations (49.3% saved)

series14.0ms (0.1%)

Counts

4 → 100

Calls

33 calls:

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

rewrite187.0ms (0.8%)

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

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

simplify100.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

712×	`times-frac_binary64`
672×	`associate-r_binary64`
631×	`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	7830	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 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.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)))
(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 (.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 c a) (.f64 (*.f64 c a) 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 c a) (.f64 (*.f64 c a) 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))
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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 (.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))

eval339.0ms (1.5%)

Compiler: Compiled 16039 to 10053 computations (37.3% saved)

prune162.0ms (0.7%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	557	29	586
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	558	30	588

Error

9.5b

Counts

588 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	44.5b	(/.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 1) (.f64 3 a))
	44.9b	(.f64 (.f64 (/.f64 -3/2 b) (*.f64 c a)) (/.f64 1/3 a))
	45.1b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
▶	32.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (.f64 3 c)))))) (.f64 3 a))
	37.1b	(.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))))) b) (/.f64 1/3 a))
	53.5b	(.f64 (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) (/.f64 1/3 a))
	55.4b	(.f64 (-.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) b) b) (/.f64 1/3 a))
	48.0b	(/.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 3 a))
	55.3b	(*.f64 (-.f64 b b) (/.f64 1/3 a))
▶	30.8b	(.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) b) (/.f64 1/3 a))
	32.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (pow.f64 (.f64 a 3) -1))
▶	48.0b	(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
	47.1b	(/.f64 (.f64 b -2) (.f64 3 a))
	41.3b	(.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 3/2)) b) (/.f64 1/3 a))
▶	47.2b	(.f64 (.f64 b -2) (/.f64 1/3 a))
▶	42.9b	(.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 1/3 a))
	45.2b	(/.f64 (.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 3 c))) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
	43.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
	45.8b	(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) (*.f64 3 a))
	43.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
	47.4b	(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 3/2)) b)) (*.f64 3 a))
	33.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (/.f64 1 a) 1/3))
	43.1b	(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 3/2) 1/3) b) (/.f64 1/3 a))
	48.0b	(.f64 (-.f64 (-.f64 (/.f64 (.f64 (*.f64 c a) 3/2) b) b) b) (/.f64 1/3 a))
✓	32.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	35.4b	(.f64 (-.f64 (pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) 3) b) (/.f64 1/3 a))
	43.7b	(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 3 a))
	44.9b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
	34.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) b) (.f64 c (.f64 a -3))))) (.f64 3 a))
	34.3b	(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/4) 2) b) (/.f64 1/3 a))

Compiler

Compiled 1088 to 766 computations (29.6% saved)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) b) (/.f64 1/3 a))
	0.4b	(/.f64 1/3 a)
	0.5b	(.f64 c (.f64 a -3))
✓	12.0b	(sqrt.f64 (.f64 c (.f64 a -3)))

Compiler

Compiled 57 to 36 computations (36.8% saved)

series46.0ms (0.2%)

Counts

2 → 12

Calls

15 calls:

Time	Variable		Point	Expression
9.0ms	c	@	-inf	(.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) b) (/.f64 1/3 a))
6.0ms	a	@	-inf	(.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) b) (/.f64 1/3 a))
6.0ms	a	@	inf	(.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) b) (/.f64 1/3 a))
5.0ms	c	@	inf	(.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) b) (/.f64 1/3 a))
4.0ms	c	@	0	(.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) b) (/.f64 1/3 a))

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

685×	`log-prod_binary64`
560×	`prod-diff_binary64`
268×	`fma-def_binary64`
253×	`pow1/3_binary64`
250×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	284	30
2	3674	30

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

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

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

simplify71.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

695×	`unswap-sqr_binary64`
670×	`associate-r_binary64`
614×	`associate-l_binary64`
438×	`times-frac_binary64`
320×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	552
1	279	442
2	979	427
3	5713	415
4	7394	415

Stop Event

1×	node limit

Counts

92 → 104

Calls

Call 1

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

Outputs
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(.f64 (.f64 1/3 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -3))
(.f64 (sqrt.f64 -3) (.f64 1/3 (sqrt.f64 (/.f64 c a))))
(.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 (.f64 1/3 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -3)))
(fma.f64 -1/3 (/.f64 b a) (.f64 (sqrt.f64 -3) (.f64 1/3 (sqrt.f64 (/.f64 c a)))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 1/3 (sqrt.f64 -3)) (.f64 (/.f64 -1/3 a) b))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/6 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/3 (/.f64 b a) (.f64 (.f64 1/3 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -3))))
(fma.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 -1/3 (/.f64 b a) (.f64 (sqrt.f64 -3) (.f64 1/3 (sqrt.f64 (/.f64 c a))))))
(fma.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)) (fma.f64 -1/3 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (.f64 1/6 (/.f64 (.f64 b b) (sqrt.f64 -3))))))
(+.f64 (.f64 -1/24 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))))
(fma.f64 -1/24 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 1/6 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/3 (/.f64 b a) (.f64 (.f64 1/3 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -3)))))
(fma.f64 -1/24 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (/.f64 (/.f64 (pow.f64 b 4) -3) (sqrt.f64 -3))) (fma.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 -1/3 (/.f64 b a) (.f64 (sqrt.f64 -3) (*.f64 1/3 (sqrt.f64 (/.f64 c a)))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 1/3 (sqrt.f64 -3)) (.f64 (/.f64 -1/3 a) b)) (fma.f64 1/6 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) 1/72)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 1/3 (sqrt.f64 -3)) (.f64 (/.f64 -1/3 a) b)) (.f64 (/.f64 (.f64 b b) (sqrt.f64 -3)) (+.f64 (.f64 1/6 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (.f64 (/.f64 (.f64 b b) -3) (.f64 -1/24 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))))))))
(.f64 1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b))
(*.f64 1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 c b) -1/2)
(+.f64 (.f64 1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))
(fma.f64 1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (.f64 -1/24 (/.f64 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 3))))
(fma.f64 -1/24 (/.f64 (.f64 a 9) (/.f64 (pow.f64 b 3) (.f64 c c))) (/.f64 (*.f64 -1/2 c) b))
(+.f64 (.f64 (/.f64 c b) -1/2) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 -3/8 a)))
(+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (.f64 1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(fma.f64 1/48 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (.f64 -1/24 (/.f64 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 3)))))
(fma.f64 1/48 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -27))) (fma.f64 -1/24 (/.f64 (.f64 a 9) (/.f64 (pow.f64 b 3) (.f64 c c))) (/.f64 (.f64 -1/2 c) b)))
(+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 -3/8 a)) (+.f64 (.f64 (/.f64 c b) -1/2) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 -9/16 (.f64 a a)))))
(+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))))
(fma.f64 1/48 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 -1/6 (/.f64 (fma.f64 1/16 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -3) 8)) (pow.f64 (.f64 (.f64 -1/8 (.f64 c c)) (.f64 (pow.f64 (sqrt.f64 -3) 4) (.f64 a a))) 2)) (.f64 a (pow.f64 b 7))) (fma.f64 1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (.f64 -1/24 (/.f64 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 3))))))
(fma.f64 1/48 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -27))) (fma.f64 -1/6 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 81/16) (pow.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -9/8) 2)) (.f64 a (pow.f64 b 7))) (fma.f64 -1/24 (/.f64 (.f64 a 9) (/.f64 (pow.f64 b 3) (.f64 c c))) (/.f64 (*.f64 -1/2 c) b))))
(+.f64 (+.f64 (.f64 (/.f64 c b) -1/2) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 -3/8 a))) (fma.f64 -1/6 (/.f64 (.f64 (.f64 (pow.f64 a 4) 81) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (.f64 a (pow.f64 b 7))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 -9/16 (*.f64 a a)))))
(+.f64 (+.f64 (.f64 (/.f64 c b) -1/2) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 -3/8 a))) (fma.f64 -1/6 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (.f64 a (pow.f64 b 7))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 -9/16 (*.f64 a a)))))
(+.f64 (+.f64 (.f64 (/.f64 c b) -1/2) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 -3/8 a))) (fma.f64 -1/6 (/.f64 (.f64 (pow.f64 a 4) (.f64 (pow.f64 c 4) 405/64)) (.f64 a (pow.f64 b 7))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 -9/16 (*.f64 a a)))))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 b a) -2/3)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 -2/3 a) b)
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 -1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) -1/6))
(fma.f64 (/.f64 b a) -2/3 (/.f64 (*.f64 1/2 c) b))
(fma.f64 (/.f64 b a) -2/3 (*.f64 (/.f64 c b) 1/2))
(+.f64 (.f64 -2/3 (/.f64 b a)) (+.f64 (.f64 -1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(fma.f64 -2/3 (/.f64 b a) (fma.f64 -1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (.f64 (/.f64 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 3)) 1/24)))
(fma.f64 (/.f64 b a) -2/3 (fma.f64 (/.f64 (.f64 a 9) (/.f64 (pow.f64 b 3) (.f64 c c))) 1/24 (/.f64 (*.f64 1/2 c) b)))
(+.f64 (.f64 (/.f64 c b) 1/2) (fma.f64 (/.f64 b a) -2/3 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 3/8 a))))
(+.f64 (.f64 -2/3 (/.f64 b a)) (+.f64 (.f64 -1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (.f64 -1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 1/24 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))))
(fma.f64 -2/3 (/.f64 b a) (fma.f64 -1/48 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 -1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (.f64 (/.f64 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 3)) 1/24))))
(fma.f64 (/.f64 b a) -2/3 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -27))) -1/48 (fma.f64 (/.f64 (.f64 a 9) (/.f64 (pow.f64 b 3) (.f64 c c))) 1/24 (/.f64 (.f64 1/2 c) b))))
(+.f64 (.f64 (/.f64 c b) 1/2) (+.f64 (fma.f64 (/.f64 b a) -2/3 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 3/8 a))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 9/16 (.f64 a a)))))
(+.f64 (+.f64 (.f64 (/.f64 c b) 1/2) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 9/16 (.f64 a a)))) (fma.f64 (/.f64 b a) -2/3 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 3/8 a))))

localize11.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 b -2) (/.f64 1/3 a))
	0.4b	(/.f64 1/3 a)

Compiler

Compiled 20 to 14 computations (30% saved)

series6.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (0.2%)

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))))))))

simplify11.0ms (0%)

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))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 3/2 (/.f64 (.f64 c a) b))
	0.4b	(/.f64 1/3 a)
✓	3.4b	(/.f64 (*.f64 c a) b)
✓	4.2b	(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))

Compiler

Compiled 56 to 27 computations (51.8% saved)

series22.0ms (0.1%)

Counts

3 → 36

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	b	@	inf	(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
2.0ms	c	@	0	(/.f64 (*.f64 c a) b)
1.0ms	c	@	0	(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
1.0ms	b	@	0	(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
1.0ms	a	@	0	(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))

rewrite88.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

795×	`log-prod_binary64`
344×	`fma-def_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`
255×	`pow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	311	37
2	4257	37

Stop Event

1×	node limit

Counts

3 → 127

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 3/2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 3/2 (/.f64 (/.f64 b a) c)) (/.f64 1/3 a)) (*.f64 (*.f64 b -2) (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b -2) (/.f64 1/3 a)) (*.f64 (/.f64 3/2 (/.f64 (/.f64 b a) c)) (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 a) (/.f64 3/2 (/.f64 (/.f64 b a) c))) (*.f64 (/.f64 1/3 a) (*.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 a) (*.f64 b -2)) (*.f64 (/.f64 1/3 a) (/.f64 3/2 (/.f64 (/.f64 b a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 3/2 (*.f64 (/.f64 c b) a) (*.f64 b -2))) (/.f64 1/3 a))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 3/2 (*.f64 (/.f64 c b) a) (*.f64 b -2))) (/.f64 1/3 a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 3/2 (*.f64 (/.f64 c b) a) (*.f64 b -2))) (/.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 3/2 (*.f64 (/.f64 c b) a) (*.f64 b -2))) (/.f64 1/3 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 3/2 (*.f64 (/.f64 c b) a) (*.f64 b -2))) (/.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 3/2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/3 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3/2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) (*.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 (fma.f64 3/2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 27/8 (pow.f64 (*.f64 (/.f64 c b) a) 3) (pow.f64 (*.f64 b -2) 3)) (*.f64 (*.f64 a 3) (fma.f64 (*.f64 b -2) (-.f64 (*.f64 b -2) (/.f64 3/2 (/.f64 (/.f64 b a) c))) (*.f64 9/4 (pow.f64 (*.f64 (/.f64 c b) a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 9/4 (pow.f64 (*.f64 (/.f64 c b) a) 2)) (pow.f64 (*.f64 b -2) 2)) (*.f64 (*.f64 a 3) (fma.f64 3/2 (*.f64 (/.f64 c b) a) (*.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 3/2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) 1/3) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (fma.f64 3/2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) 1/3)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 27/8 (pow.f64 (*.f64 (/.f64 c b) a) 3) (pow.f64 (*.f64 b -2) 3)) 1/3) (*.f64 (fma.f64 (*.f64 b -2) (-.f64 (*.f64 b -2) (/.f64 3/2 (/.f64 (/.f64 b a) c))) (*.f64 9/4 (pow.f64 (*.f64 (/.f64 c b) a) 2))) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 9/4 (pow.f64 (*.f64 (/.f64 c b) a) 2)) (pow.f64 (*.f64 b -2) 2)) 1/3) (*.f64 (fma.f64 3/2 (*.f64 (/.f64 c b) a) (*.f64 2 b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 27/8 (pow.f64 (*.f64 (/.f64 c b) a) 3) (pow.f64 (*.f64 b -2) 3)) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 3/2 (/.f64 (/.f64 b a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (*.f64 (/.f64 c b) a))) (cbrt.f64 (pow.f64 (exp.f64 3/2) (*.f64 (/.f64 c b) a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (*.f64 (/.f64 c b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/2) (*.f64 (/.f64 c b) a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/2) (*.f64 (/.f64 c b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 3/2 (/.f64 (/.f64 b a) c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3/2 (/.f64 (/.f64 b a) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 3/2 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3/2 (*.f64 c a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 3/2 (*.f64 c a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 3/2 (*.f64 c a)) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 3/2 (*.f64 c a)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 3/2 (*.f64 c a)) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c 3/2) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c (neg.f64 a)) 3/2) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3/2 c) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3/2 (*.f64 c (neg.f64 a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3/2 (/.f64 (/.f64 b a) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 3/2 (/.f64 (/.f64 b a) c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 3/2 (/.f64 (/.f64 b a) c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 3/2 (/.f64 (/.f64 b a) c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 3/2 (*.f64 c a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9/4 (pow.f64 (*.f64 (/.f64 c b) a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3/2) (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 3/2 (/.f64 (/.f64 b a) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 3/2 (/.f64 (/.f64 b a) c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 3/2 (/.f64 (/.f64 b a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 3/2 (/.f64 (/.f64 b a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 3/2 (/.f64 (/.f64 b a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 3/2 (/.f64 (/.f64 b a) c))) 1))))))

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	441
1	19	441
2	30	441
3	38	441
4	42	441
5	44	441

Stop Event

1×

saturated

Counts

163 → 132

Calls

Call 1

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

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

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (.f64 b b) (+.f64 0 (.f64 a (*.f64 3 c))))
✓	0.2b	(.f64 a (.f64 3 c))
✓	0.5b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (*.f64 3 c))))))
✓	21.0b	(sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (*.f64 3 c)))))

Compiler

Compiled 88 to 51 computations (42% saved)

series11.0ms (0%)

Counts

4 → 100

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(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)))))
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)))))

rewrite115.0ms (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 a (.f64 3 c))
(-.f64 (.f64 b b) (+.f64 0 (.f64 a (*.f64 3 c))))

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

simplify90.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

712×	`times-frac_binary64`
672×	`associate-r_binary64`
631×	`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	7830	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 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.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)))
(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)))))
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(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.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 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))
(+.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))

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))
✓	5.3b	(/.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))))))
	12.0b	(sqrt.f64 (.f64 c (.f64 a -3)))
✓	18.2b	(-.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) (*.f64 b b))

Compiler

Compiled 116 to 60 computations (48.3% saved)

series44.0ms (0.2%)

Counts

3 → 64

Calls

27 calls:

Time	Variable		Point	Expression
7.0ms	a	@	inf	(/.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))))))
5.0ms	c	@	-inf	(/.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))))))
5.0ms	c	@	inf	(/.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))))))
5.0ms	a	@	-inf	(/.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))))))
2.0ms	b	@	-inf	(/.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))))))

rewrite131.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

803×	`log-prod_binary64`
614×	`fma-def_binary64`
342×	`fma-neg_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	66
1	316	66
2	4622	66

Stop Event

1×	node limit

Counts

3 → 233

Calls

Call 1

Inputs

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

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

Outputs

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

simplify197.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

962×	`fma-def_binary64`
909×	`associate-/l*_binary64`
696×	`associate-/r*_binary64`
361×	`associate-*l/_binary64`
285×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	1586
1	538	1283
2	2315	1213

Stop Event

1×	node limit

Counts

297 → 282

Calls

Call 1

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

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

eval836.0ms (3.6%)

Compiler: Compiled 29231 to 17446 computations (40.3% saved)

prune282.0ms (1.2%)

Pruning

38 alts after pruning (35 fresh and 3 done)

	Pruned	Kept	Total
New	994	29	1023
Fresh	18	6	24
Picked	1	0	1
Done	2	3	5
Total	1015	38	1053

Error

2.3b

Counts

1053 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	45.1b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
	60.0b	(pow.f64 (pow.f64 (*.f64 b (/.f64 -2/3 a)) 3) 1/3)
▶	30.8b	(/.f64 (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) b) 1/3) a)
	43.5b	(.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c)) b) b) (/.f64 1/3 a))
▶	47.2b	(*.f64 -2/3 (/.f64 b a))
	44.5b	(/.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 1) (.f64 3 a))
	44.9b	(.f64 (.f64 (/.f64 -3/2 b) (*.f64 c a)) (/.f64 1/3 a))
	60.4b	(pow.f64 (pow.f64 (.f64 (fma.f64 3/2 (.f64 (/.f64 c b) a) (*.f64 b -2)) (/.f64 1/3 a)) 3) 1/3)
	47.2b	(/.f64 (*.f64 b -2/3) a)
	30.8b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) b) 1/3)))
✓	32.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (.f64 3 c)))))) (.f64 3 a))
	47.2b	(/.f64 1 (/.f64 a (*.f64 b -2/3)))
	54.9b	(exp.f64 (log.f64 (*.f64 b (/.f64 -2/3 a))))
	54.4b	(/.f64 (/.f64 (*.f64 b -2/3) (sqrt.f64 a)) (sqrt.f64 a))
	47.1b	(/.f64 (.f64 b -2) (.f64 a 3))
	55.6b	(*.f64 1/2 (/.f64 c b))
▶	47.2b	(.f64 (.f64 b -2) (*.f64 (/.f64 1 a) 1/3))
	48.0b	(/.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 3 a))
	55.3b	(*.f64 (-.f64 b b) (/.f64 1/3 a))
✓	30.8b	(.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) b) (/.f64 1/3 a))
	48.0b	(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (*.f64 (/.f64 1 a) 1/3))
	52.7b	(.f64 (+.f64 (exp.f64 (log.f64 (/.f64 3/2 (/.f64 (/.f64 b a) c)))) (.f64 -2 b)) (/.f64 1/3 a))
	38.8b	(*.f64 (/.f64 c b) -1/2)
	47.4b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
	43.5b	(.f64 (.f64 -3/2 (*.f64 (/.f64 c b) a)) (/.f64 1/3 a))
	47.2b	(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
	43.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
	44.9b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
▶	57.5b	(sqrt.f64 (pow.f64 (*.f64 b (/.f64 -2/3 a)) 2))
▶	48.0b	(.f64 (-.f64 (-.f64 (/.f64 (.f64 (*.f64 c a) 3/2) b) b) b) (/.f64 1/3 a))
	55.6b	(.f64 (.f64 b -2) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))
	34.5b	(.f64 (/.f64 (.f64 c (.f64 a -3)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))))) (/.f64 1/3 a))
✓	32.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	43.7b	(/.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (*.f64 3 a))
	47.2b	(*.f64 (/.f64 -2/3 a) b)
	44.2b	(/.f64 (-.f64 (fma.f64 b b (.f64 -3 (.f64 c a))) (.f64 b b)) (.f64 (.f64 a 3) (+.f64 b (hypot.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b))))
	43.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
	47.5b	(.f64 (+.f64 (/.f64 3/2 (/.f64 (/.f64 b a) c)) (.f64 -2 b)) (/.f64 1/3 a))

Compiler

Compiled 1077 to 788 computations (26.8% saved)

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) b) 1/3) a)
✓	0.2b	(.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) b) 1/3)
✓	0.2b	(.f64 -3 (.f64 c a))
✓	12.0b	(sqrt.f64 (.f64 -3 (.f64 c a)))

Compiler

Compiled 66 to 35 computations (47% saved)

series28.0ms (0.1%)

Counts

4 → 24

Calls

30 calls:

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

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

719×	`log-prod_binary64`
562×	`prod-diff_binary64`
264×	`fma-def_binary64`
251×	`expm1-udef_binary64`
251×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	283	55
2	3738	55

Stop Event

1×	node limit

Counts

4 → 119

Calls

Call 1

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

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

simplify103.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

869×	`times-frac_binary64`
640×	`associate-/l*_binary64`
557×	`unswap-sqr_binary64`
498×	`associate-+l+_binary64`
484×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	143	1110
1	416	911
2	1505	876
3	6211	852
4	7253	852
5	7620	852

Stop Event

1×	node limit

Counts

143 → 167

Calls

Call 1

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

Outputs
(.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 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))) (.f64 -1/3 b))
(fma.f64 1/3 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) (*.f64 -1/3 b))
(fma.f64 (sqrt.f64 (.f64 c a)) (.f64 1/3 (sqrt.f64 -3)) (*.f64 -1/3 b))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))) (+.f64 (.f64 -1/3 b) (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3))))))
(fma.f64 1/3 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) (fma.f64 -1/3 b (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))))))
(fma.f64 1/3 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) (fma.f64 -1/3 b (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 -3)) 1/6))))
(fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (.f64 1/6 (.f64 (/.f64 b (sqrt.f64 -3)) b)) (fma.f64 (sqrt.f64 (.f64 c a)) (.f64 1/3 (sqrt.f64 -3)) (*.f64 -1/3 b)))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))) (+.f64 (.f64 -1/3 b) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (.f64 -1/24 (.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 1/3 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) (fma.f64 -1/3 b (fma.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (.f64 -1/24 (.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 1/3 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) (fma.f64 -1/3 b (fma.f64 -1/24 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -3) -3))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 (*.f64 b b) (sqrt.f64 -3)) 1/6)))))
(fma.f64 1/3 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) (fma.f64 1/6 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (fma.f64 -1/3 b (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) 1/72))))
(.f64 1/6 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))
(.f64 1/6 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))))
(.f64 1/6 (.f64 (/.f64 c b) (*.f64 a -3)))
(.f64 (/.f64 (.f64 c -1/2) b) a)
(+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (.f64 1/6 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)))
(fma.f64 -1/24 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4)))) (.f64 1/6 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -3) 2))))))
(fma.f64 1/6 (.f64 (/.f64 c b) (.f64 a -3)) (/.f64 (.f64 (.f64 c c) -1/24) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) 9))))
(fma.f64 -1/24 (.f64 (.f64 (.f64 a a) 9) (/.f64 (.f64 c c) (pow.f64 b 3))) (.f64 (/.f64 (.f64 c -1/2) b) a))
(+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (.f64 1/6 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))))
(fma.f64 1/48 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 -1/24 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4)))) (.f64 1/6 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))))))
(fma.f64 1/48 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -27)) (fma.f64 1/6 (.f64 (/.f64 c b) (.f64 a -3)) (/.f64 (.f64 (.f64 c c) -1/24) (/.f64 (pow.f64 b 3) (.f64 (*.f64 a a) 9)))))
(fma.f64 -1/24 (.f64 (.f64 (.f64 a a) 9) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 1/48 (/.f64 (.f64 (pow.f64 c 3) -27) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 (/.f64 (*.f64 c -1/2) b) a)))
(+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (pow.f64 b 7))) (+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (.f64 1/6 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)))))
(fma.f64 -1/6 (/.f64 (fma.f64 1/16 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -3) 8)) (pow.f64 (.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4))) -1/8) 2)) (pow.f64 b 7)) (fma.f64 1/48 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 -1/24 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4)))) (.f64 1/6 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -3) 2))))))))
(fma.f64 -1/6 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 81/16) (pow.f64 (.f64 (.f64 (.f64 a (.f64 c c)) a) -9/8) 2)) (pow.f64 b 7)) (fma.f64 1/48 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -27)) (fma.f64 1/6 (.f64 (/.f64 c b) (.f64 a -3)) (/.f64 (.f64 (.f64 c c) -1/24) (/.f64 (pow.f64 b 3) (.f64 (*.f64 a a) 9))))))
(fma.f64 -1/6 (/.f64 (.f64 (.f64 (pow.f64 a 4) 81) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (pow.f64 b 7)) (fma.f64 -1/24 (.f64 (.f64 (.f64 a a) 9) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 1/48 (/.f64 (.f64 (pow.f64 c 3) -27) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 (/.f64 (*.f64 c -1/2) b) a))))
(fma.f64 -1/6 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (pow.f64 b 7)) (fma.f64 -1/24 (.f64 (.f64 (.f64 a a) 9) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 1/48 (/.f64 (.f64 (pow.f64 c 3) -27) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 (/.f64 (*.f64 c -1/2) b) a))))
(*.f64 -2/3 b)
(*.f64 b -2/3)
(+.f64 (.f64 -1/6 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (.f64 -2/3 b))
(fma.f64 -1/6 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (.f64 b -2/3))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -3)) -1/6 (*.f64 b -2/3))
(fma.f64 b -2/3 (.f64 (/.f64 (.f64 c 1/2) b) a))
(+.f64 (.f64 -1/6 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (.f64 -2/3 b) (.f64 1/24 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(fma.f64 -1/6 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (fma.f64 -2/3 b (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 4)))) 1/24)))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -3)) -1/6 (fma.f64 b -2/3 (/.f64 (.f64 (.f64 1/24 (.f64 c c)) (.f64 (*.f64 a a) 9)) (pow.f64 b 3))))
(fma.f64 b -2/3 (fma.f64 (.f64 (.f64 (.f64 a a) 9) (/.f64 (.f64 c c) (pow.f64 b 3))) 1/24 (.f64 (/.f64 (.f64 c 1/2) b) a)))
(+.f64 (.f64 -1/6 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (.f64 -2/3 b) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (.f64 -1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))))))
(fma.f64 -1/6 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (fma.f64 -2/3 b (fma.f64 1/24 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4)))) (/.f64 (.f64 -1/48 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))) (pow.f64 b 5)))))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -3)) -1/6 (fma.f64 b -2/3 (fma.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -27)) -1/48 (/.f64 (.f64 (.f64 1/24 (.f64 c c)) (.f64 (.f64 a a) 9)) (pow.f64 b 3)))))
(+.f64 (fma.f64 (.f64 (.f64 (.f64 a a) 9) (/.f64 (.f64 c c) (pow.f64 b 3))) 1/24 (.f64 (/.f64 (.f64 c 1/2) b) a)) (fma.f64 (/.f64 (.f64 (pow.f64 c 3) -27) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) -1/48 (.f64 b -2/3)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(.f64 1/3 (.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a))))
(.f64 (sqrt.f64 -3) (.f64 1/3 (sqrt.f64 (/.f64 c a))))
(.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 -3) (sqrt.f64 (/.f64 c a)))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a))) (/.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 1/3 (sqrt.f64 -3)) (.f64 -1/3 (/.f64 b a)))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/6 (.f64 (/.f64 (.f64 b b) (sqrt.f64 -3)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (fma.f64 -1/3 (/.f64 b a) (.f64 1/3 (.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a))))))
(fma.f64 1/6 (.f64 (/.f64 (.f64 b b) (sqrt.f64 -3)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (fma.f64 1/3 (.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a))) (/.f64 -1/3 (/.f64 a b))))
(fma.f64 1/3 (.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a))) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (.f64 1/6 (.f64 (/.f64 b (sqrt.f64 -3)) b)) (.f64 -1/3 (/.f64 b a))))
(+.f64 (.f64 -1/24 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))))
(fma.f64 -1/24 (.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 1/6 (.f64 (/.f64 (.f64 b b) (sqrt.f64 -3)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (fma.f64 -1/3 (/.f64 b a) (.f64 1/3 (.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a)))))))
(fma.f64 -1/24 (.f64 (/.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -3) -3)) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3)))) (fma.f64 1/6 (.f64 (/.f64 (.f64 b b) (sqrt.f64 -3)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (fma.f64 1/3 (.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a))) (/.f64 -1/3 (/.f64 a b)))))
(+.f64 (fma.f64 1/3 (.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a))) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (.f64 1/6 (.f64 (/.f64 b (sqrt.f64 -3)) b)) (.f64 -1/3 (/.f64 b a)))) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) 1/72))
(.f64 1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b))
(*.f64 1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))))
(/.f64 (*.f64 -1/2 c) b)
(/.f64 (*.f64 c -1/2) b)
(+.f64 (.f64 1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))
(fma.f64 1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (.f64 -1/24 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))))))
(fma.f64 -1/24 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 9)) (/.f64 (.f64 -1/2 c) b))
(fma.f64 -1/24 (.f64 (.f64 a 9) (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 (.f64 c -1/2) b))
(+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (.f64 1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(fma.f64 1/48 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (.f64 -1/24 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -3) 4)))))))
(fma.f64 1/48 (/.f64 (.f64 a (.f64 a -27)) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (fma.f64 -1/24 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 9)) (/.f64 (.f64 -1/2 c) b)))
(fma.f64 1/48 (.f64 (.f64 a (.f64 a -27)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -1/24 (.f64 (.f64 a 9) (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 (*.f64 c -1/2) b)))
(+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 -1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))))
(fma.f64 1/48 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 -1/6 (/.f64 (fma.f64 1/16 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -3) 8)) (pow.f64 (.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4))) -1/8) 2)) (.f64 a (pow.f64 b 7))) (fma.f64 1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (.f64 -1/24 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))))))))
(fma.f64 1/48 (/.f64 (.f64 a (.f64 a -27)) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (fma.f64 -1/6 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 81/16) (pow.f64 (.f64 (.f64 (.f64 a (.f64 c c)) a) -9/8) 2)) (.f64 a (pow.f64 b 7))) (fma.f64 -1/24 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 9)) (/.f64 (*.f64 -1/2 c) b))))
(fma.f64 1/48 (.f64 (.f64 a (.f64 a -27)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -1/24 (.f64 (.f64 a 9) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -1/6 (/.f64 (.f64 (.f64 (pow.f64 a 4) 81) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (.f64 a (pow.f64 b 7))) (/.f64 (.f64 c -1/2) b))))
(fma.f64 1/48 (.f64 (.f64 a (.f64 a -27)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -1/24 (.f64 (.f64 a 9) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -1/6 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (.f64 a (pow.f64 b 7))) (/.f64 (.f64 c -1/2) b))))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 b -2/3) a)
(/.f64 b (/.f64 a -2/3))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 -1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 -1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2)))))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 c 1/2) b))
(+.f64 (.f64 -2/3 (/.f64 b a)) (+.f64 (.f64 -1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 1/24 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(fma.f64 -2/3 (/.f64 b a) (fma.f64 -1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (.f64 1/24 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -3) 4)))))))
(fma.f64 -2/3 (/.f64 b a) (fma.f64 1/24 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 9)) (/.f64 (.f64 1/2 c) b)))
(fma.f64 -2/3 (/.f64 b a) (fma.f64 1/24 (.f64 (.f64 a 9) (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 (.f64 c 1/2) b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (+.f64 (.f64 -1/48 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (.f64 -1/6 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (.f64 1/24 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))))
(fma.f64 -2/3 (/.f64 b a) (fma.f64 -1/48 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 -1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (.f64 1/24 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))))))))
(fma.f64 -2/3 (/.f64 b a) (fma.f64 -1/48 (/.f64 (.f64 a (.f64 a -27)) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (fma.f64 1/24 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 9)) (/.f64 (.f64 1/2 c) b))))
(fma.f64 -2/3 (/.f64 b a) (fma.f64 1/24 (.f64 (.f64 a 9) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -1/48 (.f64 (.f64 a (.f64 a -27)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 (*.f64 c 1/2) b))))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 b -2) (*.f64 (/.f64 1 a) 1/3))
✓	0.4b	(*.f64 (/.f64 1 a) 1/3)

Compiler

Compiled 28 to 21 computations (25% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 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	b	@	inf	(.f64 (.f64 b -2) (*.f64 (/.f64 1 a) 1/3))
0.0ms	b	@	-inf	(.f64 (.f64 b -2) (*.f64 (/.f64 1 a) 1/3))
0.0ms	b	@	0	(.f64 (.f64 b -2) (*.f64 (/.f64 1 a) 1/3))

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

895×	`pow1_binary64`
829×	`add-log-exp_binary64`
828×	`log1p-expm1-u_binary64`
828×	`expm1-log1p-u_binary64`
813×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	204	11
2	2321	11

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

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

((#(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 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 cbrt.f64 (pow.f64 (*.f64 b (/.f64 -2/3 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 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 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))))))))

simplify12.0ms (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	8	216
1	11	216
2	15	216
3	19	216
4	20	216

Stop Event

1×

saturated

Counts

67 → 32

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

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 c a) 3/2)
	0.4b	(/.f64 1/3 a)
✓	3.4b	(/.f64 (.f64 (.f64 c a) 3/2) b)
✓	4.2b	(.f64 (-.f64 (-.f64 (/.f64 (.f64 (*.f64 c a) 3/2) b) b) b) (/.f64 1/3 a))

Compiler

Compiled 61 to 30 computations (50.8% saved)

series10.0ms (0%)

Counts

3 → 96

Calls

24 calls:

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

rewrite106.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

800×	`log-prod_binary64`
581×	`fma-def_binary64`
384×	`fma-neg_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	300	39
2	4381	39

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

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

Outputs

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

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

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

simplify38.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

21×	`associate-/l*_binary64`
19×	`*-commutative_binary64`
15×	`associate-/r/_binary64`
10×	`associate-r_binary64`
8×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	969
1	31	969
2	57	969
3	91	969
4	121	969
5	130	969

Stop Event

1×

saturated

Counts

208 → 120

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 b (/.f64 -2/3 a))
✓	0.2b	(pow.f64 (*.f64 b (/.f64 -2/3 a)) 2)
✓	0.4b	(/.f64 -2/3 a)
✓	19.9b	(sqrt.f64 (pow.f64 (*.f64 b (/.f64 -2/3 a)) 2))

Compiler

Compiled 30 to 21 computations (30% saved)

series11.0ms (0%)

Counts

4 → 72

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(pow.f64 (*.f64 b (/.f64 -2/3 a)) 2)
1.0ms	b	@	0	(sqrt.f64 (pow.f64 (*.f64 b (/.f64 -2/3 a)) 2))
1.0ms	a	@	0	(pow.f64 (*.f64 b (/.f64 -2/3 a)) 2)
0.0ms	a	@	-inf	(pow.f64 (*.f64 b (/.f64 -2/3 a)) 2)
0.0ms	b	@	-inf	(pow.f64 (*.f64 b (/.f64 -2/3 a)) 2)

rewrite79.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

775×	`pow1_binary64`
724×	`add-log-exp_binary64`
724×	`log1p-expm1-u_binary64`
724×	`expm1-log1p-u_binary64`
707×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	195	28
2	2057	28

Stop Event

1×	node limit

Counts

4 → 116

Calls

Call 1

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

simplify146.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

773×	`associate-/l*_binary64`
482×	`sqr-pow_binary64`
480×	`associate-/r*_binary64`
378×	`associate-/l/_binary64`
366×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	648
1	31	648
2	62	648
3	178	648
4	867	648
5	5250	648
6	5992	648
7	6229	648
8	6441	648
9	6689	648
10	7024	648
11	7458	648

Stop Event

1×	node limit

Counts

188 → 98

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))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (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 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 b (/.f64 2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 b (/.f64 2/3 a))
(*.f64 2/3 (/.f64 b a))
(/.f64 (*.f64 2/3 b) a)
(*.f64 b (/.f64 2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 4/9 (.f64 b b)) (*.f64 a a))
(.f64 4/9 (.f64 (/.f64 b a) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 (/.f64 b a) 4/9))
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 b (.f64 (/.f64 4/9 a) (/.f64 b a)))
(.f64 (.f64 b 4/9) (/.f64 b (*.f64 a a)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 4/9 (.f64 b b)) (*.f64 a a))
(.f64 4/9 (.f64 (/.f64 b a) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 (/.f64 b a) 4/9))
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 b (.f64 (/.f64 4/9 a) (/.f64 b a)))
(.f64 (.f64 b 4/9) (/.f64 b (*.f64 a a)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 4/9 (.f64 b b)) (*.f64 a a))
(.f64 4/9 (.f64 (/.f64 b a) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 (/.f64 b a) 4/9))
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 b (.f64 (/.f64 4/9 a) (/.f64 b a)))
(.f64 (.f64 b 4/9) (/.f64 b (*.f64 a a)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 4/9 (.f64 b b)) (*.f64 a a))
(.f64 4/9 (.f64 (/.f64 b a) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 (/.f64 b a) 4/9))
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 b (.f64 (/.f64 4/9 a) (/.f64 b a)))
(.f64 (.f64 b 4/9) (/.f64 b (*.f64 a a)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 4/9 (.f64 b b)) (*.f64 a a))
(.f64 4/9 (.f64 (/.f64 b a) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 (/.f64 b a) 4/9))
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 b (.f64 (/.f64 4/9 a) (/.f64 b a)))
(.f64 (.f64 b 4/9) (/.f64 b (*.f64 a a)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 4/9 (.f64 b b)) (*.f64 a a))
(.f64 4/9 (.f64 (/.f64 b a) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 (/.f64 b a) 4/9))
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 b (.f64 (/.f64 4/9 a) (/.f64 b a)))
(.f64 (.f64 b 4/9) (/.f64 b (*.f64 a a)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 4/9 (.f64 b b)) (*.f64 a a))
(.f64 4/9 (.f64 (/.f64 b a) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 (/.f64 b a) 4/9))
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 b (.f64 (/.f64 4/9 a) (/.f64 b a)))
(.f64 (.f64 b 4/9) (/.f64 b (*.f64 a a)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 4/9 (.f64 b b)) (*.f64 a a))
(.f64 4/9 (.f64 (/.f64 b a) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 (/.f64 b a) 4/9))
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 b (.f64 (/.f64 4/9 a) (/.f64 b a)))
(.f64 (.f64 b 4/9) (/.f64 b (*.f64 a a)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 4/9 (.f64 b b)) (*.f64 a a))
(.f64 4/9 (.f64 (/.f64 b a) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 (/.f64 b a) 4/9))
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 b (.f64 (/.f64 4/9 a) (/.f64 b a)))
(.f64 (.f64 b 4/9) (/.f64 b (*.f64 a a)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 4/9 (.f64 b b)) (*.f64 a a))
(.f64 4/9 (.f64 (/.f64 b a) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 (/.f64 b a) 4/9))
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 b (.f64 (/.f64 4/9 a) (/.f64 b a)))
(.f64 (.f64 b 4/9) (/.f64 b (*.f64 a a)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 4/9 (.f64 b b)) (*.f64 a a))
(.f64 4/9 (.f64 (/.f64 b a) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 (/.f64 b a) 4/9))
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 b (.f64 (/.f64 4/9 a) (/.f64 b a)))
(.f64 (.f64 b 4/9) (/.f64 b (*.f64 a a)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 4/9 (.f64 b b)) (*.f64 a a))
(.f64 4/9 (.f64 (/.f64 b a) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 (/.f64 b a) 4/9))
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 b (.f64 (/.f64 4/9 a) (/.f64 b a)))
(.f64 (.f64 b 4/9) (/.f64 b (*.f64 a a)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 4/9 (.f64 b b)) (*.f64 a a))
(.f64 4/9 (.f64 (/.f64 b a) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 (/.f64 b a) 4/9))
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 b (.f64 (/.f64 4/9 a) (/.f64 b a)))
(.f64 (.f64 b 4/9) (/.f64 b (*.f64 a a)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 4/9 (.f64 b b)) (*.f64 a a))
(.f64 4/9 (.f64 (/.f64 b a) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 (/.f64 b a) 4/9))
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 b (.f64 (/.f64 4/9 a) (/.f64 b a)))
(.f64 (.f64 b 4/9) (/.f64 b (*.f64 a a)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 4/9 (.f64 b b)) (*.f64 a a))
(.f64 4/9 (.f64 (/.f64 b a) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 (/.f64 b a) 4/9))
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 b (.f64 (/.f64 4/9 a) (/.f64 b a)))
(.f64 (.f64 b 4/9) (/.f64 b (*.f64 a a)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 4/9 (.f64 b b)) (*.f64 a a))
(.f64 4/9 (.f64 (/.f64 b a) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 (/.f64 b a) 4/9))
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 b (.f64 (/.f64 4/9 a) (/.f64 b a)))
(.f64 (.f64 b 4/9) (/.f64 b (*.f64 a a)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 4/9 (.f64 b b)) (*.f64 a a))
(.f64 4/9 (.f64 (/.f64 b a) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 (/.f64 b a) 4/9))
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 b (.f64 (/.f64 4/9 a) (/.f64 b a)))
(.f64 (.f64 b 4/9) (/.f64 b (*.f64 a a)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 4/9 (.f64 b b)) (*.f64 a a))
(.f64 4/9 (.f64 (/.f64 b a) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 (/.f64 b a) 4/9))
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 b (.f64 (/.f64 4/9 a) (/.f64 b a)))
(.f64 (.f64 b 4/9) (/.f64 b (*.f64 a a)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 4/9 (.f64 b b)) (*.f64 a a))
(.f64 4/9 (.f64 (/.f64 b a) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 (/.f64 b a) 4/9))
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 b (.f64 (/.f64 4/9 a) (/.f64 b a)))
(.f64 (.f64 b 4/9) (/.f64 b (*.f64 a a)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 4/9 (.f64 b b)) (*.f64 a a))
(.f64 4/9 (.f64 (/.f64 b a) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 (/.f64 b a) 4/9))
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 b (.f64 (/.f64 4/9 a) (/.f64 b a)))
(.f64 (.f64 b 4/9) (/.f64 b (*.f64 a a)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 4/9 (.f64 b b)) (*.f64 a a))
(.f64 4/9 (.f64 (/.f64 b a) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 (/.f64 b a) 4/9))
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 b (.f64 (/.f64 4/9 a) (/.f64 b a)))
(.f64 (.f64 b 4/9) (/.f64 b (*.f64 a a)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 4/9 (.f64 b b)) (*.f64 a a))
(.f64 4/9 (.f64 (/.f64 b a) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 (/.f64 b a) 4/9))
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 b (.f64 (/.f64 4/9 a) (/.f64 b a)))
(.f64 (.f64 b 4/9) (/.f64 b (*.f64 a a)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 4/9 (.f64 b b)) (*.f64 a a))
(.f64 4/9 (.f64 (/.f64 b a) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 (/.f64 b a) 4/9))
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 b (.f64 (/.f64 4/9 a) (/.f64 b a)))
(.f64 (.f64 b 4/9) (/.f64 b (*.f64 a a)))
(*.f64 4/9 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 4/9 (.f64 b b)) (*.f64 a a))
(.f64 4/9 (.f64 (/.f64 b a) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 (/.f64 b a) 4/9))
(.f64 (/.f64 b a) (/.f64 (.f64 b 4/9) a))
(.f64 b (.f64 (/.f64 4/9 a) (/.f64 b a)))
(.f64 (.f64 b 4/9) (/.f64 b (*.f64 a a)))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 b a) -2/3)
(*.f64 b (/.f64 -2/3 a))

eval169.0ms (0.7%)

Compiler: Compiled 8400 to 5390 computations (35.8% saved)

prune116.0ms (0.5%)

Pruning

42 alts after pruning (37 fresh and 5 done)

	Pruned	Kept	Total
New	444	19	463
Fresh	12	18	30
Picked	1	0	1
Done	2	5	7
Total	459	42	501

Error

0.0b

Counts

501 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	62.2b	(*.f64 b (/.f64 2/3 a))
	47.2b	(*.f64 (/.f64 -2/3 a) b)
	48.0b	(/.f64 (.f64 (-.f64 (.f64 3/2 (/.f64 (*.f64 c a) b)) (+.f64 b b)) 1/3) a)
	45.1b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
	60.0b	(pow.f64 (pow.f64 (*.f64 b (/.f64 -2/3 a)) 3) 1/3)
✓	30.8b	(/.f64 (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) b) 1/3) a)
	62.2b	(*.f64 2/3 (/.f64 b a))
	43.5b	(.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c)) b) b) (/.f64 1/3 a))
✓	47.2b	(*.f64 -2/3 (/.f64 b a))
	44.9b	(.f64 (.f64 (/.f64 -3/2 b) (*.f64 c a)) (/.f64 1/3 a))
	47.4b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
	52.5b	(.f64 (.f64 b -2) (-.f64 (+.f64 1 (/.f64 1/3 a)) 1))
	47.2b	(/.f64 1 (/.f64 a (*.f64 b -2/3)))
	47.8b	(/.f64 (.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 (*.f64 -3 c)) (sqrt.f64 a)) b) b) 1/3) a)
	47.2b	(/.f64 b (*.f64 a -3/2))
	48.1b	(/.f64 1 (/.f64 a (.f64 (-.f64 (.f64 3/2 (/.f64 (*.f64 c a) b)) (+.f64 b b)) 1/3)))
▶	30.8b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) b) 1/3)))
✓	32.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (.f64 3 c)))))) (.f64 3 a))
▶	48.0b	(/.f64 (-.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 b b)) (*.f64 a 3))
	48.0b	(.f64 (-.f64 (-.f64 (.f64 (.f64 c a) (.f64 3/2 (/.f64 1 b))) b) b) (/.f64 1/3 a))
	54.9b	(exp.f64 (log.f64 (*.f64 b (/.f64 -2/3 a))))
	54.4b	(/.f64 (/.f64 (*.f64 b -2/3) (sqrt.f64 a)) (sqrt.f64 a))
✓	30.8b	(.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) b) (/.f64 1/3 a))
	57.7b	(sqrt.f64 (/.f64 (.f64 (.f64 b (/.f64 -2/3 a)) (*.f64 b -2/3)) a))
	48.0b	(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (*.f64 (/.f64 1 a) 1/3))
	52.7b	(.f64 (+.f64 (exp.f64 (log.f64 (/.f64 3/2 (/.f64 (/.f64 b a) c)))) (.f64 -2 b)) (/.f64 1/3 a))
	55.6b	(.f64 (.f64 b -2) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))
	47.2b	(.f64 -2/3 (.f64 (/.f64 1 a) b))
▶	43.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
	43.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
	48.0b	(.f64 (-.f64 (-.f64 (/.f64 (.f64 a (*.f64 c 3/2)) b) b) b) (/.f64 1/3 a))
▶	43.5b	(.f64 (.f64 -3/2 (*.f64 (/.f64 c b) a)) (/.f64 1/3 a))
	47.2b	(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
	58.7b	(sqrt.f64 (.f64 (.f64 b 4/9) (/.f64 b (*.f64 a a))))
	44.9b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
	34.5b	(.f64 (/.f64 (.f64 c (.f64 a -3)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))))) (/.f64 1/3 a))
	38.8b	(/.f64 (*.f64 c -1/2) b)
	47.2b	(/.f64 (*.f64 b -2/3) a)
	30.8b	(.f64 1/3 (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 (.f64 -3 a) c)) b) b) (/.f64 1 a)))
✓	32.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
▶	55.6b	(*.f64 1/2 (/.f64 c b))
	47.5b	(.f64 (+.f64 (/.f64 3/2 (/.f64 (/.f64 b a) c)) (.f64 -2 b)) (/.f64 1/3 a))

Compiler

Compiled 1140 to 834 computations (26.8% saved)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) b) 1/3)
✓	0.2b	(/.f64 a (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) b) 1/3))
	0.2b	(.f64 -3 (.f64 c a))
	12.0b	(sqrt.f64 (.f64 -3 (.f64 c a)))

Compiler

Compiled 83 to 46 computations (44.6% saved)

series46.0ms (0.2%)

Counts

1 → 12

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	c	@	0	(/.f64 a (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) b) 1/3))
9.0ms	b	@	0	(/.f64 a (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) b) 1/3))
6.0ms	c	@	inf	(/.f64 a (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) b) 1/3))
6.0ms	c	@	-inf	(/.f64 a (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) b) 1/3))
4.0ms	a	@	-inf	(/.f64 a (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) b) 1/3))

rewrite70.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

726×	`log-prod_binary64`
571×	`prod-diff_binary64`
264×	`fma-def_binary64`
251×	`expm1-udef_binary64`
251×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	283	21
2	3754	21

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

530×	`times-frac_binary64`
469×	`fma-def_binary64`
406×	`*-commutative_binary64`
399×	`unswap-sqr_binary64`
373×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	700
1	380	536
2	1559	495
3	5573	483

Stop Event

1×	node limit

Counts

56 → 68

Calls

Call 1

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

Outputs
(.f64 3 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -3))))
(.f64 (.f64 3 (sqrt.f64 (/.f64 a c))) (/.f64 1 (sqrt.f64 -3)))
(*.f64 3 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -3)))
(+.f64 (.f64 3 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -3)))) (.f64 3 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -3) 2)))))
(.f64 3 (+.f64 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -3))) (/.f64 (/.f64 b c) (pow.f64 (sqrt.f64 -3) 2))))
(fma.f64 3 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -3)) (*.f64 -1 (/.f64 b c)))
(fma.f64 3 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -3)) (neg.f64 (/.f64 b c)))
(fma.f64 3 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -3)) (/.f64 (neg.f64 b) c))
(+.f64 (.f64 -3 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))))) (pow.f64 b 2))) (+.f64 (.f64 3 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -3)))) (.f64 3 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -3) 2))))))
(fma.f64 -3 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))) -1/2) (.f64 b b)) (.f64 3 (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -3))) (/.f64 (/.f64 b c) (pow.f64 (sqrt.f64 -3) 2)))))
(fma.f64 -3 (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) (.f64 (/.f64 -1/3 (sqrt.f64 -3)) -1/2)) (.f64 b b)) (fma.f64 3 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -3)) (*.f64 -1 (/.f64 b c))))
(fma.f64 -3 (.f64 b (.f64 b (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) (/.f64 1/6 (sqrt.f64 -3))))) (fma.f64 3 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -3)) (neg.f64 (/.f64 b c))))
(fma.f64 -3 (.f64 b (.f64 b (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) (/.f64 1/6 (sqrt.f64 -3))))) (fma.f64 3 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -3)) (/.f64 (neg.f64 b) c)))
(+.f64 (.f64 -3 (.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 4))))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))))) (sqrt.f64 -3)))) (pow.f64 b 3))) (+.f64 (.f64 -3 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))))) (pow.f64 b 2))) (+.f64 (.f64 3 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -3)))) (.f64 3 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -3) 2)))))))
(fma.f64 -3 (.f64 (+.f64 (/.f64 1/2 (.f64 (.f64 c c) (.f64 a (pow.f64 (sqrt.f64 -3) 4)))) (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))) -1/2)) (sqrt.f64 -3))) (pow.f64 b 3)) (fma.f64 -3 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))) -1/2) (.f64 b b)) (.f64 3 (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -3))) (/.f64 (/.f64 b c) (pow.f64 (sqrt.f64 -3) 2))))))
(fma.f64 -3 (.f64 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) (/.f64 -1/3 (sqrt.f64 -3))) (/.f64 (sqrt.f64 -3) -1/2)) (/.f64 1/2 (.f64 a (.f64 9 (.f64 c c))))) (pow.f64 b 3)) (fma.f64 -3 (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) (.f64 (/.f64 -1/3 (sqrt.f64 -3)) -1/2)) (.f64 b b)) (fma.f64 3 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -3)) (*.f64 -1 (/.f64 b c)))))
(fma.f64 -3 (.f64 (.f64 b b) (+.f64 (.f64 b (fma.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) -1/2) 9) (/.f64 (/.f64 1/18 a) (.f64 c c)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) (/.f64 1/6 (sqrt.f64 -3))))) (fma.f64 3 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -3)) (neg.f64 (/.f64 b c))))
(-.f64 (fma.f64 -3 (.f64 (.f64 b b) (+.f64 (.f64 b (fma.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) -1/2) 9) (/.f64 (/.f64 1/18 a) (.f64 c c)))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) (/.f64 1/6 (sqrt.f64 -3))))) (.f64 3 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -3)))) (/.f64 b c))
(.f64 6 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -3) 2))))
(*.f64 (/.f64 (/.f64 b c) (pow.f64 (sqrt.f64 -3) 2)) 6)
(*.f64 -2 (/.f64 b c))
(+.f64 (.f64 6 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 3/2 (/.f64 a b)))
(fma.f64 6 (/.f64 (/.f64 b c) (pow.f64 (sqrt.f64 -3) 2)) (*.f64 3/2 (/.f64 a b)))
(fma.f64 3/2 (/.f64 a b) (*.f64 -2 (/.f64 b c)))
(+.f64 (.f64 6 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -3) 2)))) (+.f64 (.f64 -3 (/.f64 (+.f64 (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))))) (pow.f64 b 3))) (.f64 3/2 (/.f64 a b))))
(fma.f64 6 (/.f64 (/.f64 b c) (pow.f64 (sqrt.f64 -3) 2)) (fma.f64 -3 (/.f64 (.f64 (.f64 (.f64 c (.f64 a a)) (pow.f64 (sqrt.f64 -3) 2)) 1/8) (pow.f64 b 3)) (*.f64 3/2 (/.f64 a b))))
(+.f64 (.f64 -2 (/.f64 b c)) (fma.f64 -3 (/.f64 (.f64 (.f64 c (.f64 a a)) -3/8) (pow.f64 b 3)) (/.f64 3/2 (/.f64 b a))))
(fma.f64 3/2 (/.f64 a b) (fma.f64 -2 (/.f64 b c) (.f64 (/.f64 -3 (pow.f64 b 3)) (.f64 (.f64 c (.f64 a a)) -3/8))))
(+.f64 (.f64 -3 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 4)))) (+.f64 (.f64 1/4 (.f64 c (.f64 (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))))) (.f64 a (pow.f64 (sqrt.f64 -3) 2))))) (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -3) 4))))))) (pow.f64 b 5))) (+.f64 (.f64 6 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -3) 2)))) (+.f64 (.f64 -3 (/.f64 (+.f64 (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))))) (pow.f64 b 3))) (*.f64 3/2 (/.f64 a b)))))
(fma.f64 -3 (/.f64 (fma.f64 1/16 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -3) 4) (pow.f64 a 3))) (fma.f64 1/4 (.f64 c (.f64 (.f64 (.f64 (.f64 c (.f64 a a)) (pow.f64 (sqrt.f64 -3) 2)) 1/8) (.f64 a (pow.f64 (sqrt.f64 -3) 2)))) (.f64 -2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8))) (pow.f64 (.f64 (.f64 -1/8 (.f64 c c)) (.f64 (pow.f64 (sqrt.f64 -3) 4) (.f64 a a))) 2)) (.f64 (.f64 c c) (.f64 a (pow.f64 (sqrt.f64 -3) 4))))))) (pow.f64 b 5)) (fma.f64 6 (/.f64 (/.f64 b c) (pow.f64 (sqrt.f64 -3) 2)) (fma.f64 -3 (/.f64 (.f64 (.f64 (.f64 c (.f64 a a)) (pow.f64 (sqrt.f64 -3) 2)) 1/8) (pow.f64 b 3)) (.f64 3/2 (/.f64 a b)))))
(fma.f64 -3 (/.f64 (+.f64 (.f64 (.f64 c (.f64 c (pow.f64 a 3))) 9/16) (fma.f64 1/4 (.f64 (.f64 (.f64 c (.f64 a a)) -3/8) (.f64 (.f64 a -3) c)) (.f64 (/.f64 -2 (.f64 a 9)) (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 81/16) (pow.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -9/8) 2)) (.f64 c c))))) (pow.f64 b 5)) (+.f64 (.f64 -2 (/.f64 b c)) (fma.f64 -3 (/.f64 (.f64 (.f64 c (.f64 a a)) -3/8) (pow.f64 b 3)) (/.f64 3/2 (/.f64 b a)))))
(fma.f64 -3 (/.f64 (fma.f64 (/.f64 -2/9 a) (/.f64 (.f64 (.f64 (pow.f64 a 4) 81) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (.f64 c c)) (fma.f64 1/4 (.f64 (.f64 (.f64 c (.f64 a a)) -3/8) (.f64 c (.f64 a -3))) (.f64 (.f64 c (.f64 c (pow.f64 a 3))) 9/16))) (pow.f64 b 5)) (fma.f64 3/2 (/.f64 a b) (fma.f64 -2 (/.f64 b c) (.f64 (/.f64 -3 (pow.f64 b 3)) (.f64 (.f64 c (.f64 a a)) -3/8)))))
(fma.f64 -3 (/.f64 (fma.f64 c (.f64 1/4 (.f64 a (.f64 -3 (.f64 (.f64 c (.f64 a a)) -3/8)))) (fma.f64 (.f64 c (.f64 c (pow.f64 a 3))) 9/16 (.f64 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (.f64 c c)) (/.f64 -2/9 a)))) (pow.f64 b 5)) (fma.f64 3/2 (/.f64 a b) (fma.f64 -2 (/.f64 b c) (.f64 (/.f64 -3 (pow.f64 b 3)) (.f64 (.f64 c (.f64 a a)) -3/8)))))
(*.f64 -3/2 (/.f64 a b))
(*.f64 (/.f64 a b) -3/2)
(/.f64 -3/2 (/.f64 b a))
(*.f64 (/.f64 -3/2 b) a)
(+.f64 (.f64 3/8 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (.f64 -3/2 (/.f64 a b)))
(fma.f64 3/8 (/.f64 (.f64 (.f64 c (.f64 a a)) (pow.f64 (sqrt.f64 -3) 2)) (pow.f64 b 3)) (.f64 (/.f64 a b) -3/2))
(fma.f64 (/.f64 a b) -3/2 (/.f64 (.f64 3/8 c) (/.f64 (/.f64 (pow.f64 b 3) -3) (.f64 a a))))
(fma.f64 (/.f64 a b) -3/2 (/.f64 (.f64 3/8 (.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 3) -3)))
(+.f64 (.f64 3/8 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 a b)) (.f64 -3/16 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 5)))))
(fma.f64 3/8 (/.f64 (.f64 (.f64 c (.f64 a a)) (pow.f64 (sqrt.f64 -3) 2)) (pow.f64 b 3)) (fma.f64 -3/2 (/.f64 a b) (.f64 -3/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 (sqrt.f64 -3) 4) (pow.f64 a 3)))))))
(fma.f64 3/8 (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a (.f64 a -3))) (fma.f64 -3/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 5) (*.f64 9 (pow.f64 a 3)))) (/.f64 -3/2 (/.f64 b a))))
(fma.f64 (/.f64 a b) -3/2 (fma.f64 -3/16 (.f64 (.f64 9 (pow.f64 a 3)) (/.f64 (.f64 c c) (pow.f64 b 5))) (/.f64 (.f64 3/8 (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 3) -3))))
(+.f64 (.f64 3/8 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 2))) (pow.f64 b 3))) (+.f64 (.f64 3 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 6)))) (.f64 1/128 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 6))))) (pow.f64 b 7))) (+.f64 (.f64 -3/2 (/.f64 a b)) (.f64 -3/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 5))))))
(fma.f64 3/8 (/.f64 (.f64 (.f64 c (.f64 a a)) (pow.f64 (sqrt.f64 -3) 2)) (pow.f64 b 3)) (fma.f64 3 (/.f64 (.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 6))) 5/128) (pow.f64 b 7)) (fma.f64 -3/2 (/.f64 a b) (.f64 -3/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 (sqrt.f64 -3) 4) (pow.f64 a 3))))))))
(fma.f64 3/8 (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a (.f64 a -3))) (fma.f64 3 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 4)) -135/128) (pow.f64 b 7)) (fma.f64 -3/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 5) (*.f64 9 (pow.f64 a 3)))) (/.f64 -3/2 (/.f64 b a)))))
(fma.f64 3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 4)) (/.f64 (pow.f64 b 7) -135/128)) (fma.f64 (/.f64 a b) -3/2 (fma.f64 -3/16 (.f64 (.f64 9 (pow.f64 a 3)) (/.f64 (.f64 c c) (pow.f64 b 5))) (/.f64 (.f64 3/8 (.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 3) -3)))))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite51.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1609	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

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 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 -3/2 (.f64 (/.f64 c b) a))
	0.4b	(/.f64 1/3 a)
✓	5.5b	(*.f64 (/.f64 c b) a)
✓	10.1b	(.f64 (.f64 -3/2 (*.f64 (/.f64 c b) a)) (/.f64 1/3 a))

Compiler

Compiled 37 to 16 computations (56.8% saved)

series16.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Expression
1.0ms	a	@	(.f64 (.f64 -3/2 (*.f64 (/.f64 c b) a)) (/.f64 1/3 a))
1.0ms	c	@	(.f64 (.f64 -3/2 (*.f64 (/.f64 c b) a)) (/.f64 1/3 a))
1.0ms	b	@	(.f64 (.f64 -3/2 (*.f64 (/.f64 c b) a)) (/.f64 1/3 a))
1.0ms	b	@	(.f64 -3/2 (.f64 (/.f64 c b) a))
1.0ms	c	@	(.f64 -3/2 (.f64 (/.f64 c b) a))

rewrite115.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

643×	`log-prod_binary64`
397×	`pow-prod-down_binary64`
311×	`pow2_binary64`
272×	`pow-unpow_binary64`
221×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	240	30
2	3133	30

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

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

Outputs

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

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

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

simplify38.0ms (0.2%)

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	864
1	20	864
2	37	864
3	67	864
4	98	864
5	109	864

Stop Event

1×

saturated

Counts

191 → 87

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

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(.f64 3/2 (/.f64 (.f64 c a) b))
	3.4b	(/.f64 (*.f64 c a) b)
✓	4.4b	(/.f64 (-.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 b b)) (*.f64 a 3))

Compiler

Compiled 55 to 21 computations (61.8% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite77.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`log-prod_binary64`
434×	`fma-def_binary64`
303×	`fma-neg_binary64`
261×	`expm1-udef_binary64`
261×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	302	20
2	4908	20

Stop Event

1×	node limit

Counts

1 → 74

Calls

Call 1

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

Outputs

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

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	441
1	19	441
2	30	441
3	38	441
4	42	441
5	44	441

Stop Event

1×

saturated

Counts

110 → 79

Calls

Call 1

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

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

localize22.0ms (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))
	0.5b	(.f64 c (.f64 a -3))
	12.0b	(sqrt.f64 (.f64 c (.f64 a -3)))

Compiler

Compiled 49 to 30 computations (38.8% saved)

series30.0ms (0.1%)

Counts

2 → 28

Calls

18 calls:

Time	Variable		Point	Expression
19.0ms	a	@	-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	@	-inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
1.0ms	b	@	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
1.0ms	c	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))

rewrite77.0ms (0.3%)

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	34
1	282	30
2	4043	30

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

Inputs
(/.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

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

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

simplify215.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1191×	`fma-def_binary64`
773×	`fma-neg_binary64`
291×	`associate-r_binary64`
285×	`div-sub_binary64`
226×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	21	389
1	36	380
2	57	380
3	72	380
4	90	380
5	118	380
6	182	380
7	280	380
8	457	380
9	761	380
10	1119	371
11	1419	371
12	1998	371
13	2995	371
14	3057	371
15	3164	371
16	3363	371
17	3667	371
18	4354	371
19	4959	371
20	5662	371
21	5756	371
22	5868	371
23	5922	371
24	5970	371
25	5970	371

Stop Event

1×

saturated

Counts

144 → 128

Calls

Call 1

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

eval240.0ms (1%)

Compiler: Compiled 12457 to 8031 computations (35.5% saved)

prune132.0ms (0.6%)

Pruning

53 alts after pruning (46 fresh and 7 done)

	Pruned	Kept	Total
New	608	22	630
Fresh	8	24	32
Picked	1	0	1
Done	2	7	9
Total	619	53	672

Error

0.0b

Counts

672 → 53

Alt Table

Click to see full alt table

Status	Error	Program
	62.2b	(*.f64 b (/.f64 2/3 a))
	47.2b	(*.f64 (/.f64 -2/3 a) b)
	44.8b	(.f64 (.f64 c (*.f64 a (/.f64 -3/2 b))) (/.f64 1/3 a))
	48.0b	(/.f64 (.f64 (-.f64 (.f64 3/2 (/.f64 (*.f64 c a) b)) (+.f64 b b)) 1/3) a)
	45.1b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
	60.0b	(pow.f64 (pow.f64 (*.f64 b (/.f64 -2/3 a)) 3) 1/3)
✓	30.8b	(/.f64 (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) b) 1/3) a)
	62.2b	(*.f64 2/3 (/.f64 b a))
✓	47.2b	(*.f64 -2/3 (/.f64 b a))
	52.5b	(.f64 (.f64 b -2) (-.f64 (+.f64 1 (/.f64 1/3 a)) 1))
	44.9b	(.f64 (/.f64 (.f64 (*.f64 c a) -3/2) b) (/.f64 1/3 a))
	47.2b	(/.f64 b (*.f64 a -3/2))
	44.9b	(/.f64 (.f64 (/.f64 (.f64 (*.f64 c a) -3/2) b) -1/3) (neg.f64 a))
	48.1b	(/.f64 1 (/.f64 a (.f64 (-.f64 (.f64 3/2 (/.f64 (*.f64 c a) b)) (+.f64 b b)) 1/3)))
✓	32.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (+.f64 0 (.f64 a (.f64 3 c)))))) (.f64 3 a))
	55.6b	(/.f64 1/2 (/.f64 b c))
	47.5b	(/.f64 1 (/.f64 a (fma.f64 b -2/3 (.f64 (/.f64 (.f64 c 1/2) b) a))))
	49.6b	(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 a -3)) (sqrt.f64 c) b)) 3) (.f64 3 a))
	48.0b	(.f64 (-.f64 (-.f64 (.f64 (.f64 c a) (.f64 3/2 (/.f64 1 b))) b) b) (/.f64 1/3 a))
	54.9b	(exp.f64 (log.f64 (*.f64 b (/.f64 -2/3 a))))
	54.4b	(/.f64 (/.f64 (*.f64 b -2/3) (sqrt.f64 a)) (sqrt.f64 a))
	43.6b	(.f64 (.f64 -3/2 (/.f64 a (/.f64 b c))) (/.f64 1/3 a))
✓	55.6b	(*.f64 1/2 (/.f64 c b))
	47.2b	(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
✓	30.8b	(.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) b) (/.f64 1/3 a))
	48.0b	(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (*.f64 (/.f64 1 a) 1/3))
	52.7b	(.f64 (+.f64 (exp.f64 (log.f64 (/.f64 3/2 (/.f64 (/.f64 b a) c)))) (.f64 -2 b)) (/.f64 1/3 a))
	47.2b	(/.f64 1 (*.f64 -3/2 (/.f64 a b)))
	56.8b	(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 c b))) 2)
	55.6b	(.f64 (.f64 b -2) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))
	55.6b	(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b))) 3)
	47.4b	(/.f64 (-.f64 (/.f64 3/2 (/.f64 (/.f64 b a) c)) (+.f64 b b)) (*.f64 a 3))
	47.2b	(.f64 -2/3 (.f64 (/.f64 1 a) b))
	43.5b	(.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (.f64 (/.f64 1 a) 1/3))
	43.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 -3 (.f64 c a)))) (*.f64 3 a))
	49.4b	(.f64 (fma.f64 (sqrt.f64 (.f64 a -3)) (sqrt.f64 c) b) (/.f64 1/3 a))
	30.8b	(/.f64 1 (.f64 (/.f64 3 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) b)) a))
✓	43.5b	(.f64 (.f64 -3/2 (*.f64 (/.f64 c b) a)) (/.f64 1/3 a))
	47.2b	(.f64 (.f64 b -2) (pow.f64 (*.f64 a 3) -1))
	48.0b	(.f64 (-.f64 (-.f64 (/.f64 (.f64 a (*.f64 c 3/2)) b) b) b) (/.f64 1/3 a))
	48.8b	(/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (.f64 a -3)) (sqrt.f64 c))) (*.f64 3 a))
	58.7b	(sqrt.f64 (.f64 (.f64 b 4/9) (/.f64 b (*.f64 a a))))
	43.0b	(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (*.f64 3 a))
	47.4b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
	34.5b	(.f64 (/.f64 (.f64 c (.f64 a -3)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))))) (/.f64 1/3 a))
	38.8b	(/.f64 (*.f64 c -1/2) b)
	47.2b	(/.f64 (*.f64 b -2/3) a)
	30.8b	(.f64 1/3 (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 (.f64 -3 a) c)) b) b) (/.f64 1 a)))
✓	32.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	39.1b	(/.f64 1 (*.f64 -2 (/.f64 b c)))
	55.6b	(/.f64 (/.f64 (*.f64 1/2 c) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
	43.1b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (.f64 -3 (.f64 c a)) 1/4) 2)) (*.f64 3 a))
	47.8b	(/.f64 (.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 (*.f64 -3 c)) (sqrt.f64 a)) b) b) 1/3) a)

Compiler

Compiled 755 to 557 computations (26.2% saved)

regimes2.7s (11.7%)

Counts

101 → 4

Calls

Call 1

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

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

Calls

6 calls:

628.0ms	c
539.0ms	a
512.0ms	(*.f64 3 a)
397.0ms	b
396.0ms	(*.f64 3 a)

Results

Error	Segments	Branch
21.3b	5	`a`
7.8b	4	`b`
21.2b	6	`c`
10.8b	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
21.3b	5	`(*.f64 3 a)`
21.3b	5	`(*.f64 3 a)`

Compiler

Compiled 1307 to 785 computations (39.9% saved)

bsearch497.0ms (2.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
314.0ms	0.384924272806859	96.35898771588418
5.0ms	6.072152765863688e-206	1.4080588539300827e-190
177.0ms	-248421322691510.9	-1094075122890.457

Compiler

Compiled 504 to 373 computations (26% saved)

regimes2.1s (8.8%)

Counts

82 → 3

Calls

Call 1

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

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

Calls

6 calls:

446.0ms	(*.f64 3 a)
446.0ms	(*.f64 3 a)
411.0ms	c
285.0ms	a
217.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Results

Error	Segments	Branch
24.4b	6	`a`
9.0b	3	`b`
23.8b	6	`c`
10.8b	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
24.4b	6	`(*.f64 3 a)`
24.4b	6	`(*.f64 3 a)`

Compiler

Compiled 959 to 575 computations (40% saved)

bsearch345.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
211.0ms	0.0024148245359729634	0.011214487783014598
134.0ms	-248421322691510.9	-1094075122890.457

Compiler

Compiled 416 to 305 computations (26.7% saved)

regimes2.8s (11.9%)

Counts

63 → 3

Calls

Call 1

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

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

Calls

5 calls:

733.0ms	(*.f64 3 a)
680.0ms	(*.f64 3 a)
606.0ms	a
594.0ms	c
116.0ms	b

Results

Error	Segments	Branch
28.6b	10	`a`
10.3b	3	`b`
31.3b	7	`c`
28.6b	10	`(*.f64 3 a)`
28.6b	10	`(*.f64 3 a)`

Compiler

Compiled 683 to 398 computations (41.7% saved)

bsearch576.0ms (2.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
352.0ms	0.0024148245359729634	0.011214487783014598
223.0ms	-36.03438871011904	-0.012872346137363433

Compiler

Compiled 456 to 333 computations (27% saved)

regimes1.1s (4.8%)

Counts

54 → 2

Calls

Call 1

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

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

Calls

5 calls:

296.0ms	c
260.0ms	a
203.0ms	b
177.0ms	(*.f64 3 a)
160.0ms	(*.f64 3 a)

Results

Error	Segments	Branch
36.4b	5	`a`
23.3b	2	`b`
36.4b	5	`c`
36.4b	5	`(*.f64 3 a)`
36.4b	5	`(*.f64 3 a)`

Compiler

Compiled 566 to 329 computations (41.9% saved)

bsearch124.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
123.0ms	-3.785311422898734e-306	1.8709535496419837e-305

Compiler

Compiled 188 to 145 computations (22.9% saved)

regimes90.0ms (0.4%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

48.0ms	c
31.0ms	b
8.0ms	a

Results

Error	Segments	Branch
47.2b	1	`a`
40.5b	2	`b`
45.5b	3	`c`

Compiler

Compiled 35 to 24 computations (31.4% saved)

bsearch784.0ms (3.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
784.0ms	1.7133592175923136e-18	2.1880976496195085e-14

Compiler

Compiled 170 to 131 computations (22.9% saved)

regimes13.0ms (0.1%)

Accuracy

Total -7.5b remaining (-13.4%)

Threshold costs -7.5b (-13.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	b
4.0ms	c
4.0ms	a

Results

Error	Segments	Branch
55.6b	1	`a`
55.6b	1	`b`
55.6b	1	`c`

Compiler

Compiled 30 to 21 computations (30% saved)

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
15×	`+-commutative_binary64`
13×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	72	244
1	96	242
2	121	242
3	135	242
4	148	242
5	159	242
6	167	242
7	170	242
8	171	242

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b -1100000000000) (/.f64 b (.f64 a -3/2)) (if (<=.f64 b 1723641332219371/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768) (/.f64 1 (.f64 (/.f64 3 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) b)) a)) (if (<=.f64 b 3602879701896397/9007199254740992) (.f64 (/.f64 (.f64 c (.f64 a -3)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (/.f64 1/3 a)) (/.f64 (.f64 c -1/2) b))))
(if (<=.f64 b -1100000000000) (/.f64 b (.f64 a -3/2)) (if (<=.f64 b 2824657686286775/1152921504606846976) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a)) (/.f64 (.f64 c -1/2) b)))
(if (<=.f64 b -7493989779944505/576460752303423488) (/.f64 (-.f64 (/.f64 3/2 (/.f64 (/.f64 b a) c)) (+.f64 b b)) (.f64 a 3)) (if (<=.f64 b 2824657686286775/1152921504606846976) (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 3 a)) (/.f64 (*.f64 c -1/2) b)))
(if (<=.f64 b -22854258338533/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (/.f64 b (.f64 a -3/2)) (/.f64 (.f64 c -1/2) b))
(if (<=.f64 b 2271629875608987/1298074214633706907132624082305024) (/.f64 b (*.f64 a -3/2)) (/.f64 1/2 (/.f64 b c)))
(/.f64 1/2 (/.f64 b c))

Outputs
(if (<=.f64 b -1100000000000) (/.f64 b (.f64 a -3/2)) (if (<=.f64 b 1723641332219371/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768) (/.f64 1 (.f64 (/.f64 3 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) b)) a)) (if (<=.f64 b 3602879701896397/9007199254740992) (.f64 (/.f64 (.f64 c (.f64 a -3)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (/.f64 1/3 a)) (/.f64 (.f64 c -1/2) b))))
(if (<=.f64 b -1100000000000) (/.f64 b (.f64 a -3/2)) (if (<=.f64 b 1723641332219371/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768) (/.f64 1 (.f64 a (/.f64 3 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) b)))) (if (<=.f64 b 3602879701896397/9007199254740992) (.f64 (/.f64 (.f64 c (.f64 a -3)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (/.f64 1/3 a)) (/.f64 (.f64 c -1/2) b))))
(if (<=.f64 b -1100000000000) (/.f64 b (.f64 a -3/2)) (if (<=.f64 b 2824657686286775/1152921504606846976) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a)) (/.f64 (.f64 c -1/2) b)))
(if (<=.f64 b -1100000000000) (/.f64 b (.f64 a -3/2)) (if (<=.f64 b 2824657686286775/1152921504606846976) (/.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 -1100000000000) (/.f64 b (.f64 a -3/2)) (if (<=.f64 b 2824657686286775/1152921504606846976) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (.f64 a 3)) (/.f64 (.f64 c -1/2) b)))
(if (<=.f64 b -7493989779944505/576460752303423488) (/.f64 (-.f64 (/.f64 3/2 (/.f64 (/.f64 b a) c)) (+.f64 b b)) (.f64 a 3)) (if (<=.f64 b 2824657686286775/1152921504606846976) (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 3 a)) (/.f64 (*.f64 c -1/2) b)))
(if (<=.f64 b -7493989779944505/576460752303423488) (/.f64 (-.f64 (/.f64 3/2 (/.f64 (/.f64 b a) c)) (+.f64 b b)) (.f64 a 3)) (if (<=.f64 b 2824657686286775/1152921504606846976) (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 a 3)) (/.f64 (*.f64 c -1/2) b)))
(if (<=.f64 b -22854258338533/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (/.f64 b (.f64 a -3/2)) (/.f64 (.f64 c -1/2) b))
(if (<=.f64 b 2271629875608987/1298074214633706907132624082305024) (/.f64 b (*.f64 a -3/2)) (/.f64 1/2 (/.f64 b c)))
(/.f64 1/2 (/.f64 b c))

Compiler

Compiled 183 to 126 computations (31.1% saved)

soundness2.9s (12.2%)

Algorithm

7×	egg-herbie

Rules

1220×	`fma-neg_binary64`
1220×	`fma-neg_binary64`
1220×	`fma-neg_binary64`
1220×	`fma-neg_binary64`
962×	`fma-def_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
0	132	1513
1	394	1499
2	1353	1451
3	7811	1451
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
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
0	172	1586
1	538	1283
2	2315	1213
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
0	143	1110
1	416	911
2	1505	876
3	6211	852
4	7253	852
5	7620	852

Stop Event

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

Compiler

Compiled 3163 to 2315 computations (26.8% saved)

end122.0ms (0.5%)

Compiler: Compiled 168 to 110 computations (34.5% saved)

Iter	Nodes	Cost
0	72	244
1	96	242
2	121	242
3	135	242
4	148	242
5	159	242
6	167	242
7	170	242
8	171	242

Iter	Nodes	Cost
0	72	244
1	96	242
2	121	242
3	135	242
4	148	242
5	159	242
6	167	242
7	170	242
8	171	242

Iter	Nodes	Cost
0	72	244
1	96	242
2	121	242
3	135	242
4	148	242
5	159	242
6	167	242
7	170	242
8	171	242