Details

analyze382.0ms (1.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	93.6%	0.1%	0%	6.2%	0%	7
6.7%	6.2%	87.4%	0.1%	0%	6.2%	0%	8
11.1%	10.1%	81.1%	0.1%	0%	8.6%	0%	9
18%	15.6%	71%	0.1%	0%	13.3%	0%	10
25.9%	22%	63%	0.1%	0.8%	14%	0%	11
35.5%	29.1%	52.9%	0.1%	1.6%	16.4%	0%	12

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample3.0s (12.4%)

Results

1.1s	5576×	body	256	valid
776.0ms	1172×	body	2048	valid
322.0ms	736×	body	1024	valid
300.0ms	404×	body	4096	valid
174.0ms	1005×	body	256	invalid
110.0ms	368×	body	512	valid
105.0ms	571×	body	256	infinite

Bogosity

preprocess100.0ms (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)

simplify127.0ms (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

31.7b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
▶	31.8b	(/.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)
✓	0.6b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)
✓	1.0b	(fma.f64 b b (.f64 c (.f64 a -3)))
✓	24.0b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))

Compiler

Compiled 62 to 36 computations (41.9% saved)

series22.0ms (0.1%)

Counts

4 → 76

Calls

30 calls:

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

rewrite110.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 187

Calls

Call 1

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

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

simplify93.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	1747
1	396	1679
2	1356	1631
3	7801	1631

Stop Event

1×	node limit

Counts

263 → 240

Calls

Call 1

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

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

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
✓	0.6b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
✓	0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
✓	24.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 69 to 35 computations (49.3% saved)

series20.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

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

rewrite137.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

735×	`log-prod_binary64`
725×	`fma-def_binary64`
366×	`fma-neg_binary64`
248×	`expm1-udef_binary64`
248×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	74
1	302	62
2	4505	59

Stop Event

1×	node limit

Counts

4 → 333

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 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 (.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))) (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 6) (.f64 27 (pow.f64 (.f64 a c) 3)))) (sqrt.f64 (fma.f64 (.f64 a (.f64 3 c)) (fma.f64 b b (.f64 a (.f64 3 c))) (pow.f64 b 4))))))) (#(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 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 (.f64 b b) (.f64 c (.f64 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b b) (.f64 (.f64 c (.f64 a -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b b) (fma.f64 c (.f64 a -3) (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 (neg.f64 (.f64 a c)) 3 (.f64 a (.f64 3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 (.f64 c (.f64 a -3)) 1 (.f64 a (.f64 3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 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 +.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (+.f64 (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c))) (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c))) (fma.f64 b b (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 c (.f64 a -3)) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 b b (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (cbrt.f64 (exp.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 b b (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) (.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 2) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) (.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 b 6) (.f64 27 (pow.f64 (.f64 a c) 3))) (/.f64 1 (fma.f64 (.f64 a (.f64 3 c)) (fma.f64 b b (.f64 a (.f64 3 c))) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a (.f64 3 c)) 2)) (/.f64 1 (fma.f64 b b (.f64 a (.f64 3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4)) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 3 c)))) (-.f64 b (sqrt.f64 (.f64 a (.f64 3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 a (.f64 3 c)) (fma.f64 b b (.f64 a (.f64 3 c))) (pow.f64 b 4)) (-.f64 (pow.f64 b 6) (.f64 27 (pow.f64 (.f64 a c) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b b (.f64 a (.f64 3 c))) (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a (.f64 3 c)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b 6) (.f64 27 (pow.f64 (.f64 a c) 3))) (fma.f64 (.f64 a (.f64 3 c)) (fma.f64 b b (.f64 a (.f64 3 c))) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a (.f64 3 c)) 2)) (fma.f64 b b (.f64 a (.f64 3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 b 6) (.f64 27 (pow.f64 (.f64 a c) 3)))) (neg.f64 (fma.f64 (.f64 a (.f64 3 c)) (fma.f64 b b (.f64 a (.f64 3 c))) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a (.f64 3 c)) 2))) (neg.f64 (fma.f64 b b (.f64 a (.f64 3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 6) (pow.f64 (.f64 c (.f64 a -3)) 3)) (+.f64 (pow.f64 b 4) (-.f64 (.f64 (.f64 c (.f64 a -3)) (.f64 c (.f64 a -3))) (.f64 (.f64 b b) (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3) (pow.f64 (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c))) 3)) (+.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 2) (-.f64 (.f64 (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c))) (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c)))) (.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -3)) (.f64 c (.f64 a -3)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 2) (.f64 (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c))) (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c))))) (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (fma.f64 c (.f64 a -3) (.f64 a (.f64 3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 b b))) (pow.f64 (pow.f64 (exp.f64 a) 3) c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 b) b) (+.f64 1 (expm1.f64 (.f64 a 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (.f64 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (/.f64 1/3 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (/.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (/.f64 1/3 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) 3) (pow.f64 (.f64 3 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (/.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (/.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (/.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) (/.f64 1/3 a))) 1))))))

simplify127.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

895×	`fma-def_binary64`
660×	`associate-/l*_binary64`
590×	`associate-/r*_binary64`
465×	`unswap-sqr_binary64`
435×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	2478
1	581	2399
2	2100	2321
3	7371	2321

Stop Event

1×	node limit

Counts

429 → 413

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

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

eval323.0ms (1.4%)

Compiler: Compiled 17828 to 11261 computations (36.8% saved)

prune130.0ms (0.5%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	623	30	653
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	625	30	655

Error

5.1b

Counts

655 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	42.4b	(.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 3/2)) b) (/.f64 1/3 a))
	43.7b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	53.9b	(*.f64 (-.f64 b b) (/.f64 1/3 a))
	45.4b	(pow.f64 (.f64 3 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))))) -1)
	45.7b	(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
▶	43.7b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
	43.7b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (*.f64 3 a))
	57.0b	(pow.f64 (pow.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) (/.f64 1/3 a)) 3) 1/3)
▶	31.4b	(.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))) b))) (/.f64 1/3 a))
	45.7b	(/.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 3 a))
	32.9b	(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/4) 2) b) (/.f64 1/3 a))
	44.3b	(/.f64 (.f64 b -2) (.f64 3 a))
	44.7b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
	41.4b	(/.f64 -1/2 (/.f64 b c))
	51.9b	(exp.f64 (log.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) (/.f64 1/3 a))))
	41.0b	(*.f64 -1/2 (/.f64 c b))
	43.7b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (.f64 3 a))
▶	44.6b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
	45.5b	(.f64 1/3 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3))))) a))
	36.9b	(.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))))) b) (/.f64 1/3 a))
	45.7b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
▶	32.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 -1 (.f64 a (.f64 3 c)) (.f64 b b)))) (.f64 3 a))
	44.6b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
	44.6b	(/.f64 (.f64 (/.f64 (.f64 c -3/2) b) a) (*.f64 3 a))
	31.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (/.f64 1 a) 1/3))
	44.3b	(*.f64 (/.f64 -2/3 a) b)
	45.4b	(neg.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))) (*.f64 a -3)))
▶	44.3b	(*.f64 -2/3 (/.f64 b a))
	31.9b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
	45.7b	(/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 (.f64 c a) (/.f64 b 3/2)) b)) (.f64 3 a))

Compiler

Compiled 980 to 702 computations (28.4% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1/3 a)
✓	0.6b	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)
✓	2.8b	(exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))) b)))
✓	12.5b	(sqrt.f64 (.f64 c (.f64 a -3)))

Compiler

Compiled 82 to 53 computations (35.4% saved)

series35.0ms (0.1%)

Counts

3 → 24

Calls

24 calls:

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

rewrite101.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`prod-diff_binary64`
558×	`log-prod_binary64`
360×	`pow-prod-down_binary64`
296×	`pow2_binary64`
230×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	238	39
2	2914	39

Stop Event

1×	node limit

Counts

3 → 261

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 a (*.f64 -3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 a (*.f64 -3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (*.f64 -3 c))) (pow.f64 (*.f64 a (*.f64 -3 c)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a (*.f64 -3 c)) 1/6) (cbrt.f64 (*.f64 a (*.f64 -3 c))))))) (#(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 a (*.f64 -3 c)) 1/4) (pow.f64 (*.f64 a (*.f64 -3 c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 a (*.f64 -3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 -3 c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 c a) 2) 9) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 -3 c)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 -3 c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 -3 c))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 -3 c)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 -3 c)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 -3 c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 -3 c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))) 1))))))

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

simplify61.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

738×	`associate-r_binary64`
671×	`unswap-sqr_binary64`
632×	`associate-l_binary64`
535×	`times-frac_binary64`
414×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	1092
1	256	890
2	922	832
3	6268	812

Stop Event

1×	node limit

Counts

285 → 170

Calls

Call 1

Inputs
(.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 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 1/16 (/.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 -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 (.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 -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 -1/2 (/.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 -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 -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 (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 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 1/16 (/.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 -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 (.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 -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 -1/2 (/.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 -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 -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))))))

Outputs
(.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)))
(-.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (neg.f64 b))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1 b (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (-.f64 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)) b))
(-.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))) b)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 -1 b (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.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) (.f64 (sqrt.f64 -3) -3))) (-.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) b)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (-.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) 1/24)) b))
(fma.f64 (/.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 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))) b))
(.f64 1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))
(.f64 1/2 (/.f64 (.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b))
(.f64 1/2 (.f64 (/.f64 c b) (*.f64 a -3)))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(+.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))))
(fma.f64 1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4))))))
(fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -3)) (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -9/8) (pow.f64 b 3)))
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(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 4)))))))
(fma.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) -27) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -3)) (/.f64 (.f64 (.f64 (.f64 c a) (*.f64 c a)) -9/8) (pow.f64 b 3))))
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(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8))) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (pow.f64 b 7)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4))))))))
(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)) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) -27) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -3)) (/.f64 (.f64 (.f64 (.f64 c a) (*.f64 c a)) -9/8) (pow.f64 b 3)))))
(fma.f64 -1/2 (/.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)) (+.f64 (.f64 (/.f64 c b) (.f64 -3/2 a)) (+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 (.f64 a a) -9/8)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -27/16 (pow.f64 a 3))))))
(+.f64 (.f64 (/.f64 c b) (.f64 -3/2 a)) (+.f64 (+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 (.f64 a a) -9/8)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 -27/16 (pow.f64 a 3)))) (/.f64 (.f64 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) 81)) -5/128) (pow.f64 b 7))))
(*.f64 -2 b)
(*.f64 b -2)
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(fma.f64 b -2 (.f64 (.f64 (/.f64 c b) (*.f64 a -3)) -1/2))
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(fma.f64 -1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (fma.f64 -2 b (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4)))) 1/8)))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -3)) -1/2 (fma.f64 b -2 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 (*.f64 9 a) a)) 1/8) (pow.f64 b 3))))
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(fma.f64 -1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (fma.f64 -2 b (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4)))) (/.f64 (.f64 -1/16 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5)))))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -3)) -1/2 (fma.f64 b -2 (fma.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 9 a) a))) 1/8 (.f64 (/.f64 (*.f64 (pow.f64 a 3) -27) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) -1/16))))
(+.f64 (.f64 (/.f64 c b) (.f64 3/2 a)) (+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 9/8 (.f64 a a))) (fma.f64 b -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 27/16 (pow.f64 a 3))))))
(.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)))
(-.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (neg.f64 b))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1 b (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (-.f64 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)) b))
(-.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))) b)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 -1 b (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.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) (.f64 (sqrt.f64 -3) -3))) (-.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)) b)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (-.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) 1/24)) b))
(fma.f64 (/.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 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))) b))
(.f64 1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))
(.f64 1/2 (/.f64 (.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b))
(.f64 1/2 (.f64 (/.f64 c b) (*.f64 a -3)))
(.f64 (/.f64 c b) (.f64 -3/2 a))
(+.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))))
(fma.f64 1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4))))))
(fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -3)) (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -9/8) (pow.f64 b 3)))
(+.f64 (.f64 (/.f64 c b) (.f64 -3/2 a)) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 (*.f64 a a) -9/8)))
(+.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 -1/8 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 4)))))))
(fma.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) -27) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -3)) (/.f64 (.f64 (.f64 (.f64 c a) (*.f64 c a)) -9/8) (pow.f64 b 3))))
(+.f64 (.f64 (/.f64 c b) (.f64 -3/2 a)) (+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 (.f64 a a) -9/8)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -27/16 (pow.f64 a 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 (.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 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))))
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8))) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (pow.f64 b 7)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4))))))))
(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)) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) -27) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -3)) (/.f64 (.f64 (.f64 (.f64 c a) (*.f64 c a)) -9/8) (pow.f64 b 3)))))
(fma.f64 -1/2 (/.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)) (+.f64 (.f64 (/.f64 c b) (.f64 -3/2 a)) (+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 (.f64 a a) -9/8)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -27/16 (pow.f64 a 3))))))
(+.f64 (.f64 (/.f64 c b) (.f64 -3/2 a)) (+.f64 (+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 (.f64 a a) -9/8)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 -27/16 (pow.f64 a 3)))) (/.f64 (.f64 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) 81)) -5/128) (pow.f64 b 7))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (.f64 -2 b))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (*.f64 b -2))
(fma.f64 b -2 (.f64 (.f64 (/.f64 c b) (*.f64 a -3)) -1/2))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 3/2 a)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (.f64 -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)))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (fma.f64 -2 b (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4)))) 1/8)))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -3)) -1/2 (fma.f64 b -2 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 (*.f64 9 a) a)) 1/8) (pow.f64 b 3))))
(+.f64 (.f64 (/.f64 c b) (.f64 3/2 a)) (fma.f64 b -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 9/8 (*.f64 a a)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (.f64 -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 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (fma.f64 -2 b (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4)))) (/.f64 (.f64 -1/16 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5)))))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -3)) -1/2 (fma.f64 b -2 (fma.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 9 a) a))) 1/8 (.f64 (/.f64 (*.f64 (pow.f64 a 3) -27) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) -1/16))))
(+.f64 (.f64 (/.f64 c b) (.f64 3/2 a)) (+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 9/8 (.f64 a a))) (fma.f64 b -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 27/16 (pow.f64 a 3))))))

localize5.0ms (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)

series4.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite45.0ms (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))))))))

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1/3 a)
✓	6.0b	(.f64 (/.f64 c b) (.f64 a -3/2))
✓	9.8b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))

Compiler

Compiled 35 to 19 computations (45.7% saved)

series10.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite65.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`log-prod_binary64`
434×	`pow-prod-down_binary64`
312×	`pow2_binary64`
264×	`pow-unpow_binary64`
222×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	240	23
2	3160	23

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

Outputs

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

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

simplify24.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

144 → 75

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
✓	0.3b	(.f64 -3 (.f64 c a))
	0.4b	(/.f64 1/3 a)
✓	12.5b	(sqrt.f64 (.f64 -3 (.f64 c a)))

Compiler

Compiled 45 to 24 computations (46.7% saved)

series19.0ms (0.1%)

Counts

3 → 14

Calls

21 calls:

Time	Variable		Point	Expression
6.0ms	a	@	-inf	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
3.0ms	c	@	inf	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
1.0ms	c	@	-inf	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
1.0ms	a	@	inf	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
1.0ms	c	@	0	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))

rewrite77.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`prod-diff_binary64`
643×	`log-prod_binary64`
364×	`fma-def_binary64`
234×	`pow1/3_binary64`
232×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	263	34
2	3452	34

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

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

Outputs

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

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

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

111 → 103

Calls

Call 1

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

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

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 a (.f64 3 c))
✓	0.6b	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 -1 (.f64 a (.f64 3 c)) (*.f64 b b))))
✓	0.8b	(fma.f64 -1 (.f64 a (.f64 3 c)) (*.f64 b b))
✓	24.0b	(sqrt.f64 (fma.f64 -1 (.f64 a (.f64 3 c)) (*.f64 b b)))

Compiler

Compiled 77 to 42 computations (45.5% saved)

series13.0ms (0.1%)

Counts

4 → 100

Calls

33 calls:

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

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

576×	`log-prod_binary64`
375×	`pow-prod-down_binary64`
334×	`fma-def_binary64`
311×	`pow2_binary64`
219×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	58
1	268	56
2	3450	51

Stop Event

1×	node limit

Counts

4 → 151

Calls

Call 1

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

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

simplify119.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

712×	`times-frac_binary64`
671×	`associate-r_binary64`
630×	`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	1371	1799
3	7818	1799

Stop Event

1×	node limit

Counts

251 → 206

Calls

Call 1

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

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

eval307.0ms (1.3%)

Compiler: Compiled 13991 to 9118 computations (34.8% saved)

prune161.0ms (0.7%)

Pruning

45 alts after pruning (42 fresh and 3 done)

	Pruned	Kept	Total
New	624	28	652
Fresh	11	14	25
Picked	1	0	1
Done	1	3	4
Total	637	45	682

Error

0.5b

Counts

682 → 45

Alt Table

Click to see full alt table

Status	Error	Program
	43.7b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	53.9b	(*.f64 (-.f64 b b) (/.f64 1/3 a))
	45.2b	(/.f64 (.f64 (.f64 (.f64 c a) -3/2) 1/3) (.f64 b a))
	51.9b	(expm1.f64 (log1p.f64 (*.f64 -2/3 (/.f64 b a))))
	44.3b	(/.f64 -2/3 (/.f64 a b))
▶	45.7b	(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
✓	43.7b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
▶	46.1b	(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
	44.6b	(.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (.f64 (/.f64 1 a) 1/3))
	45.7b	(/.f64 (.f64 (/.f64 -3/2 b) (.f64 c a)) (*.f64 3 a))
	45.7b	(/.f64 (.f64 (/.f64 (.f64 c a) b) -1/2) a)
	57.4b	(sqrt.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9))
	44.9b	(/.f64 (.f64 (/.f64 1/3 a) (-.f64 (.f64 a (.f64 -3 c)) (.f64 b b))) (+.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b))
	54.1b	(pow.f64 (sqrt.f64 (*.f64 -2/3 (/.f64 b a))) 2)
▶	31.6b	(.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) b))) (/.f64 1/3 a))
	44.6b	(/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) -1/3) (neg.f64 a))
	45.2b	(/.f64 (.f64 (.f64 c a) -3/2) (.f64 (.f64 a 3) b))
	45.7b	(/.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 3 a))
	49.3b	(.f64 (-.f64 (.f64 (sqrt.f64 (*.f64 -3 c)) (sqrt.f64 a)) b) (/.f64 1/3 a))
	45.7b	(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 3/2 b) (.f64 c a)) b)) (*.f64 3 a))
	44.3b	(/.f64 (.f64 b -2) (.f64 3 a))
	59.2b	(/.f64 b (/.f64 a -1/3))
	44.7b	(.f64 (-.f64 (-.f64 (.f64 (/.f64 c b) (*.f64 a 3/2)) b) b) (/.f64 1/3 a))
	49.2b	(.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c))) b))) (/.f64 1/3 a))
	41.4b	(/.f64 -1/2 (/.f64 b c))
	59.2b	(*.f64 -1/3 (/.f64 b a))
▶	41.0b	(*.f64 -1/2 (/.f64 c b))
▶	31.9b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
	41.1b	(/.f64 (.f64 c (.f64 a (*.f64 -3/2 (/.f64 1/3 a)))) b)
	44.0b	(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3) a)
	43.7b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (.f64 3 a))
✓	44.6b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
	36.9b	(.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))))) b) (/.f64 1/3 a))
	44.6b	(/.f64 (/.f64 (*.f64 -2/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	44.0b	(/.f64 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3)))
	44.7b	(.f64 (/.f64 (.f64 a -3/2) (/.f64 b c)) (/.f64 1/3 a))
	43.9b	(/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) (*.f64 a 3))
	44.3b	(*.f64 (/.f64 -2/3 a) b)
	44.3b	(/.f64 (*.f64 -2/3 b) a)
	45.2b	(.f64 (/.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) (.f64 b b)))) (pow.f64 (exp.f64 1) (log.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b))))) (/.f64 1/3 a))
✓	44.3b	(*.f64 -2/3 (/.f64 b a))
	44.3b	(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
	43.7b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (.f64 (/.f64 1 a) 1/3))
	45.7b	(/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 (.f64 c a) (/.f64 b 3/2)) b)) (.f64 3 a))
	44.6b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))

Compiler

Compiled 1297 to 941 computations (27.4% saved)

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 a (.f64 -3 c))
✓	0.6b	(-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) b)
✓	2.8b	(pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) b)))
✓	12.5b	(sqrt.f64 (.f64 a (.f64 -3 c)))

Compiler

Compiled 89 to 60 computations (32.6% saved)

series57.0ms (0.2%)

Counts

4 → 48

Calls

30 calls:

Time	Variable		Point	Expression
7.0ms	c	@	inf	(pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) b)))
7.0ms	c	@	-inf	(pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) b)))
6.0ms	a	@	-inf	(pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) b)))
6.0ms	b	@	inf	(pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) b)))
6.0ms	a	@	inf	(pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) b)))

rewrite109.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`log-prod_binary64`
572×	`prod-diff_binary64`
332×	`pow2_binary64`
269×	`fma-def_binary64`
258×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46
1	286	46
2	3262	46

Stop Event

1×	node limit

Counts

4 → 277

Calls

Call 1

Inputs
(sqrt.f64 (.f64 a (.f64 -3 c)))
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) b)))
(-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) b)
(.f64 a (.f64 -3 c))

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

simplify87.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

735×	`associate-/l*_binary64`
582×	`associate-/r*_binary64`
290×	`associate-r_binary64`
272×	`distribute-rgt-in_binary64`
270×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	1952
1	624	1444
2	2700	1260
3	7872	1260

Stop Event

1×	node limit

Counts

325 → 224

Calls

Call 1

Inputs
(.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 (sqrt.f64 (.f64 c a)) (.f64 (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/6 (+.f64 (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 3 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))))))) (.f64 (pow.f64 b 3) (sqrt.f64 -3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)))))
(exp.f64 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 (.f64 1/2 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2)))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 a (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))))))) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 b 2))) (exp.f64 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))))))))
(+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))))))) (+.f64 (.f64 1/32 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) (.f64 1/24 (+.f64 (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) (.f64 3 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))))))) (pow.f64 b 4)) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 a (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))))))) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 b 2))) (exp.f64 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2)))))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))) (+.f64 (.f64 -1/96 (.f64 c (.f64 (+.f64 (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) (.f64 3 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))))) (.f64 a (pow.f64 (sqrt.f64 -3) 2))))) (.f64 1/720 (+.f64 (.f64 45/2 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))) (+.f64 (.f64 -15/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))) (.f64 -720 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2)))))))))) (exp.f64 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2)))))))) (pow.f64 b 6)) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))))))) (+.f64 (.f64 1/32 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) (.f64 1/24 (+.f64 (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) (.f64 3 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))))))) (pow.f64 b 4)) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 a (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))))))) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 b 2))) (exp.f64 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 (.f64 1/2 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))))))))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 2)))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 a (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 2))) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 b 2))) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 2))))
(+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 2))) (+.f64 (.f64 1/32 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) (.f64 1/24 (+.f64 (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) (.f64 -3/2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))))))) (pow.f64 b 4)) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 a (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 2))) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 b 2))) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 2)))))
(+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 2))) (+.f64 (.f64 1/32 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) (.f64 1/24 (+.f64 (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) (.f64 -3/2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))))))) (pow.f64 b 4)) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 a (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 2))) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 b 2))) (+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 2))) (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 2))) (+.f64 (.f64 1/96 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -3) 2) (+.f64 (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) (.f64 -3/2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))))))))) (+.f64 (.f64 1/720 (+.f64 (.f64 15/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))) (+.f64 (.f64 45/2 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))) (.f64 45/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))))))) (.f64 1/384 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))))))) (pow.f64 b 6)))))
(.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 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 1/16 (/.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 -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 (.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 -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 -1/2 (/.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 -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 -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 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -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 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 -1 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (neg.f64 b))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1 b (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (neg.f64 b)))
(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) (neg.f64 b)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/6 (+.f64 (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3)))) (.f64 3 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))))))) (.f64 (pow.f64 b 3) (sqrt.f64 -3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 (sqrt.f64 (.f64 c a)) (.f64 (fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/6 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -3) 3))) 1))) (.f64 (sqrt.f64 -3) (pow.f64 b 3))) (fma.f64 -1 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 (.f64 (sqrt.f64 (.f64 c a)) (fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 -1/3 (sqrt.f64 -3))) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 -1/3 (sqrt.f64 -3))) 1/6))) (.f64 (sqrt.f64 -3) (pow.f64 b 3)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (neg.f64 b))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (-.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 -1/3 (sqrt.f64 -3))) 0) (pow.f64 b 3)) 1) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))) b))
(exp.f64 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 (.f64 1/2 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2)))))))
(exp.f64 (+.f64 (neg.f64 (log.f64 b)) (log.f64 (.f64 1/2 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2)))))))
(.f64 (/.f64 1 b) (.f64 (*.f64 c a) -3/2))
(/.f64 (.f64 (.f64 c a) -3/2) b)
(+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 a (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))))))) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 b 2))) (exp.f64 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))))))))
(fma.f64 -1/4 (/.f64 c (/.f64 (.f64 b b) (.f64 a (.f64 (pow.f64 (sqrt.f64 -3) 2) (exp.f64 (+.f64 (neg.f64 (log.f64 b)) (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))))))))))) (exp.f64 (+.f64 (neg.f64 (log.f64 b)) (log.f64 (.f64 1/2 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))))))))
(fma.f64 (/.f64 1 b) (.f64 (.f64 c a) -3/2) (/.f64 (.f64 (.f64 -1/4 (.f64 c a)) (.f64 (.f64 -3 (/.f64 1 b)) (.f64 (.f64 c a) -3/2))) (.f64 b b)))
(fma.f64 -1/4 (/.f64 (.f64 (.f64 c a) -3) (/.f64 (pow.f64 b 3) (.f64 (.f64 c a) -3/2))) (/.f64 (.f64 (.f64 c a) -3/2) b))
(+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))))))) (+.f64 (.f64 1/32 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) (.f64 1/24 (+.f64 (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) (.f64 3 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))))))) (pow.f64 b 4)) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 a (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))))))) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 b 2))) (exp.f64 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2)))))))))
(+.f64 (fma.f64 -1/4 (/.f64 c (/.f64 (.f64 b b) (.f64 a (.f64 (pow.f64 (sqrt.f64 -3) 2) (exp.f64 (+.f64 (neg.f64 (log.f64 b)) (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))))))))))) (exp.f64 (+.f64 (neg.f64 (log.f64 b)) (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2)))))))) (/.f64 (.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 b)) (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))))))) (fma.f64 1/32 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4))) (.f64 1/24 (.f64 (.f64 (.f64 c c) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 4))) 9/4)))) (pow.f64 b 4)))
(+.f64 (fma.f64 (/.f64 1 b) (.f64 (.f64 c a) -3/2) (/.f64 (.f64 (.f64 -1/4 (.f64 c a)) (.f64 (.f64 -3 (/.f64 1 b)) (.f64 (.f64 c a) -3/2))) (.f64 b b))) (.f64 (/.f64 (.f64 (/.f64 1 b) (.f64 (.f64 c a) -3/2)) (pow.f64 b 4)) (fma.f64 1/24 (.f64 (.f64 (.f64 c a) (.f64 c a)) 81/4) (.f64 (.f64 (.f64 c a) (.f64 c a)) 9/32))))
(+.f64 (fma.f64 -1/4 (/.f64 (.f64 (.f64 c a) -3) (/.f64 (pow.f64 b 3) (.f64 (.f64 c a) -3/2))) (/.f64 (.f64 (.f64 c a) -3/2) b)) (.f64 (/.f64 (/.f64 (.f64 (.f64 c a) -3/2) b) (pow.f64 b 4)) (.f64 (.f64 9 (.f64 (.f64 c c) (.f64 a a))) 1/8)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))) (+.f64 (.f64 -1/96 (.f64 c (.f64 (+.f64 (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) (.f64 3 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))))) (.f64 a (pow.f64 (sqrt.f64 -3) 2))))) (.f64 1/720 (+.f64 (.f64 45/2 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))) (+.f64 (.f64 -15/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))) (.f64 -720 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2)))))))))) (exp.f64 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2)))))))) (pow.f64 b 6)) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))))))) (+.f64 (.f64 1/32 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) (.f64 1/24 (+.f64 (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) (.f64 3 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))))))) (pow.f64 b 4)) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 a (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))))))) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 b 2))) (exp.f64 (+.f64 (log.f64 (/.f64 1 b)) (log.f64 (.f64 1/2 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))))))))))
(+.f64 (+.f64 (fma.f64 -1/4 (/.f64 c (/.f64 (.f64 b b) (.f64 a (.f64 (pow.f64 (sqrt.f64 -3) 2) (exp.f64 (+.f64 (neg.f64 (log.f64 b)) (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))))))))))) (exp.f64 (+.f64 (neg.f64 (log.f64 b)) (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2)))))))) (/.f64 (.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 b)) (log.f64 (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2))))))) (fma.f64 1/32 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4))) (.f64 1/24 (.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4))) 9/4)))) (pow.f64 b 4))) (/.f64 (fma.f64 -1/384 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (fma.f64 -1/96 (.f64 c (.f64 (.f64 a (pow.f64 (sqrt.f64 -3) 2)) (.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4))) 9/4))) (.f64 1/720 (fma.f64 45/2 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (fma.f64 -15/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (.f64 -720 (/.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 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -3) 4))) -1/8) 2)) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -3) 2)))))))))) (/.f64 (pow.f64 b 6) (exp.f64 (+.f64 (neg.f64 (log.f64 b)) (log.f64 (.f64 1/2 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))))))))))
(+.f64 (fma.f64 (/.f64 1 b) (.f64 (.f64 c a) -3/2) (/.f64 (.f64 (.f64 -1/4 (.f64 c a)) (.f64 (.f64 -3 (/.f64 1 b)) (.f64 (.f64 c a) -3/2))) (.f64 b b))) (+.f64 (.f64 (/.f64 (.f64 (/.f64 1 b) (.f64 (.f64 c a) -3/2)) (pow.f64 b 4)) (fma.f64 1/24 (.f64 (.f64 (.f64 c a) (.f64 c a)) 81/4) (.f64 (.f64 (.f64 c a) (.f64 c a)) 9/32))) (.f64 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) 9/128) (fma.f64 -1/96 (.f64 c (.f64 -3 (.f64 a (.f64 (.f64 (.f64 c a) (.f64 c a)) 81/4)))) (.f64 1/720 (+.f64 (.f64 -720 (/.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)) (.f64 c (.f64 a -3)))) (.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) -27)) 75/4))))) (pow.f64 b 6)) (.f64 (/.f64 1 b) (.f64 (.f64 c a) -3/2)))))
(+.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 c a) -3/2) b) (pow.f64 b 4)) (.f64 (.f64 9 (.f64 (.f64 c c) (.f64 a a))) 1/8)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (.f64 c a) -3) (/.f64 (pow.f64 b 3) (.f64 (.f64 c a) -3/2)))) (.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) 9/128) (fma.f64 1/720 (+.f64 (.f64 (/.f64 240 a) (/.f64 (.f64 (.f64 (pow.f64 a 4) 81) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) c)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -2025/4)) (.f64 c (.f64 (.f64 -3 (.f64 a (.f64 (.f64 (.f64 c c) (.f64 a a)) 81/4))) -1/96)))) (pow.f64 b 6)) 1) (/.f64 (.f64 (*.f64 c a) -3/2) b))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 2)))
(exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 2)))
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(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -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)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	c	@	0	(*.f64 -1/2 (/.f64 c b))
0.0ms	c	@	inf	(*.f64 -1/2 (/.f64 c b))
0.0ms	c	@	-inf	(*.f64 -1/2 (/.f64 c b))
0.0ms	b	@	-inf	(*.f64 -1/2 (/.f64 c b))
0.0ms	b	@	0	(*.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	1610	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify89.0ms (0.4%)

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

localize11.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(*.f64 -2/3 (/.f64 b a))
✓	2.0b	(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)

Compiler

Compiled 31 to 18 computations (41.9% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite130.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

650×	`unpow-prod-down_binary64`
490×	`prod-diff_binary64`
417×	`log-prod_binary64`
410×	`fma-def_binary64`
234×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	203	7
2	2846	7

Stop Event

1×	node limit

Counts

1 → 119

Calls

Call 1

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

Outputs

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

simplify49.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

143 → 119

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))

localize19.0ms (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)
✓	3.6b	(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
✓	4.3b	(/.f64 (*.f64 c a) b)

Compiler

Compiled 56 to 27 computations (51.8% saved)

series13.0ms (0.1%)

Counts

3 → 36

Calls

27 calls:

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

rewrite87.0ms (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 c a) b)
(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
(.f64 3/2 (/.f64 (.f64 c a) b))

Outputs

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

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

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

simplify23.0ms (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)))

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1/3 a)
✓	0.6b	(-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))) b)
✓	0.8b	(+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))
✓	24.0b	(sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b)))

Compiler

Compiled 69 to 37 computations (46.4% saved)

series73.0ms (0.3%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
64.0ms	a	@	-inf	(-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))) b)
0.0ms	b	@	inf	(-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))) b)
0.0ms	c	@	0	(sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b)))
0.0ms	b	@	0	(-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b))) b)
0.0ms	c	@	inf	(sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (*.f64 b b)))

rewrite121.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 194

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b))) (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 1/6) (cbrt.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 1/4) (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 c (*.f64 a -3)) 2) (pow.f64 b 4))) (sqrt.f64 (fma.f64 c (*.f64 a -3) (*.f64 (neg.f64 b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) 3) -27 (pow.f64 b 6))) (hypot.f64 (*.f64 c (*.f64 a -3)) (sqrt.f64 (-.f64 (pow.f64 b 4) (*.f64 c (*.f64 (*.f64 a -3) (*.f64 b b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) 1))))))

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

simplify85.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	1747
1	396	1679
2	1360	1631
3	7829	1631

Stop Event

1×	node limit

Counts

270 → 246

Calls

Call 1

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

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

eval562.0ms (2.4%)

Compiler: Compiled 19226 to 12397 computations (35.5% saved)

prune423.0ms (1.8%)

Pruning

58 alts after pruning (51 fresh and 7 done)

	Pruned	Kept	Total
New	787	26	813
Fresh	12	25	37
Picked	0	1	1
Done	1	6	7
Total	800	58	858

Error

0.4b

Counts

858 → 58

Alt Table

Click to see full alt table

Status	Error	Program
	50.8b	(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
	45.2b	(/.f64 (.f64 (.f64 (.f64 c a) -3/2) 1/3) (.f64 b a))
	46.5b	(.f64 (pow.f64 (exp.f64 1) (log.f64 (.f64 b -2))) (/.f64 1/3 a))
✓	45.7b	(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
	44.3b	(.f64 b (.f64 (/.f64 1 a) -2/3))
✓	43.7b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
✓	46.1b	(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
	44.3b	(/.f64 -2/3 (/.f64 a b))
	43.7b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (.f64 (/.f64 1 a) 1/3))
	44.3b	(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
	44.6b	(.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (.f64 (/.f64 1 a) 1/3))
▶	44.7b	(.f64 (+.f64 (/.f64 (.f64 c 3/2) (/.f64 b a)) (*.f64 -2 b)) (/.f64 1/3 a))
	45.7b	(/.f64 (.f64 (/.f64 -3/2 b) (.f64 c a)) (*.f64 3 a))
	45.7b	(/.f64 (.f64 (/.f64 (.f64 c a) b) -1/2) a)
✓	31.6b	(.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) b))) (/.f64 1/3 a))
	41.3b	(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 3)
	54.1b	(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (/.f64 a (/.f64 b c)) 3/2 (.f64 b -2)) (/.f64 1/3 a)))) 1)
	44.6b	(/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) -1/3) (neg.f64 a))
	45.2b	(/.f64 (.f64 (.f64 c a) -3/2) (.f64 (.f64 a 3) b))
	44.9b	(/.f64 (.f64 (/.f64 1/3 a) (-.f64 (.f64 a (.f64 -3 c)) (.f64 b b))) (+.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b))
	45.7b	(/.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 3 a))
	49.3b	(.f64 (-.f64 (.f64 (sqrt.f64 (*.f64 -3 c)) (sqrt.f64 a)) b) (/.f64 1/3 a))
▶	44.3b	(/.f64 (.f64 b -2) (.f64 3 a))
	59.2b	(/.f64 b (/.f64 a -1/3))
	46.5b	(.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 a (/.f64 b c)) 3/2))) (*.f64 -2 b)) (/.f64 1/3 a))
	49.2b	(.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c))) b))) (/.f64 1/3 a))
	41.4b	(/.f64 -1/2 (/.f64 b c))
▶	59.2b	(*.f64 -1/3 (/.f64 b a))
	44.8b	(.f64 (fma.f64 1/4 (.f64 (/.f64 c b) (/.f64 (/.f64 -6 (/.f64 -1 b)) (/.f64 b a))) (/.f64 2 (/.f64 -1 b))) (/.f64 1/3 a))
✓	31.9b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
	53.9b	(*.f64 (-.f64 b b) (/.f64 1/3 a))
	41.1b	(/.f64 (.f64 c (.f64 a (*.f64 -3/2 (/.f64 1/3 a)))) b)
	44.0b	(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3) a)
	45.7b	(/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 (.f64 c a) (/.f64 b 3/2)) b)) (.f64 3 a))
	53.0b	(*.f64 (+.f64 (sqrt.f64 (fma.f64 -2/3 (/.f64 b a) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -2/3 (/.f64 b a) 1)) 1))
	41.9b	(/.f64 (/.f64 (*.f64 -1/2 c) (sqrt.f64 b)) (sqrt.f64 b))
✓	44.6b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
	45.7b	(.f64 (+.f64 (/.f64 3/2 (/.f64 b (.f64 c a))) (*.f64 -2 b)) (/.f64 1/3 a))
	46.7b	(.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 2))) (/.f64 1/3 a))
	49.3b	(.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c)) b) b))) (/.f64 1/3 a))
	43.7b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (.f64 3 a))
	54.3b	(*.f64 1/2 (/.f64 c b))
▶	36.9b	(.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))))) b) (/.f64 1/3 a))
	57.4b	(sqrt.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9))
	44.0b	(/.f64 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3)))
	44.3b	(.f64 (.f64 -2/3 b) (/.f64 1 a))
	44.7b	(.f64 (/.f64 (.f64 a -3/2) (/.f64 b c)) (/.f64 1/3 a))
	44.6b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
	43.9b	(/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) (*.f64 a 3))
	43.7b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	48.4b	(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b))))
	41.0b	(/.f64 (*.f64 -1/2 c) b)
	44.3b	(/.f64 (*.f64 -2/3 b) a)
	44.3b	(*.f64 (/.f64 -2/3 a) b)
	40.8b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
▶	44.4b	(*.f64 (pow.f64 (cbrt.f64 -2/3) 3) (/.f64 b a))
	45.2b	(.f64 (/.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) (.f64 b b)))) (pow.f64 (exp.f64 1) (log.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b))))) (/.f64 1/3 a))
✓	44.3b	(*.f64 -2/3 (/.f64 b a))

Compiler

Compiled 1651 to 1223 computations (25.9% saved)

localize58.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1/3 a)
✓	3.8b	(exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))
✓	11.6b	(-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) b)
	12.5b	(sqrt.f64 (.f64 c (.f64 a -3)))

Compiler

Compiled 80 to 53 computations (33.8% saved)

series21.0ms (0.1%)

Counts

2 → 26

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	c	@	0	(exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))
2.0ms	a	@	-inf	(exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))
2.0ms	a	@	inf	(exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))
2.0ms	c	@	inf	(exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))
1.0ms	c	@	-inf	(exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`prod-diff_binary64`
558×	`log-prod_binary64`
358×	`pow-prod-down_binary64`
296×	`pow2_binary64`
232×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	238	27
2	2914	27

Stop Event

1×	node limit

Counts

2 → 135

Calls

Call 1

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

Outputs

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

simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

791×	`associate-r_binary64`
677×	`associate-l_binary64`
571×	`times-frac_binary64`
445×	`associate-/l*_binary64`
443×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	1044
1	340	880
2	1160	829
3	7068	823

Stop Event

1×	node limit

Counts

161 → 179

Calls

Call 1

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

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

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite46.0ms (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 -1/3 (/.f64 b a))

Outputs

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

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 14 computations (30% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`pow1_binary64`
862×	`add-log-exp_binary64`
861×	`log1p-expm1-u_binary64`
861×	`expm1-log1p-u_binary64`
848×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	173	7
2	2273	7

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

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

Outputs

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

simplify12.0ms (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

76 → 52

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))

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1/3 a)
✓	2.6b	(/.f64 (*.f64 c 3/2) (/.f64 b a))
✓	3.6b	(.f64 (+.f64 (/.f64 (.f64 c 3/2) (/.f64 b a)) (*.f64 -2 b)) (/.f64 1/3 a))

Compiler

Compiled 54 to 31 computations (42.6% saved)

series7.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(/.f64 (*.f64 c 3/2) (/.f64 b a))
0.0ms	c	@	0	(.f64 (+.f64 (/.f64 (.f64 c 3/2) (/.f64 b a)) (*.f64 -2 b)) (/.f64 1/3 a))
0.0ms	a	@	0	(/.f64 (*.f64 c 3/2) (/.f64 b a))
0.0ms	c	@	-inf	(.f64 (+.f64 (/.f64 (.f64 c 3/2) (/.f64 b a)) (*.f64 -2 b)) (/.f64 1/3 a))
0.0ms	b	@	inf	(.f64 (+.f64 (/.f64 (.f64 c 3/2) (/.f64 b a)) (*.f64 -2 b)) (/.f64 1/3 a))

rewrite82.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

832×	`log-prod_binary64`
485×	`fma-def_binary64`
280×	`expm1-udef_binary64`
280×	`log1p-udef_binary64`
249×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	314	30
2	4470	30

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

Outputs

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

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

simplify34.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
19×	`associate-/l*_binary64`
13×	`associate-/r/_binary64`
10×	`associate-r_binary64`
8×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	801
1	28	801
2	52	801
3	85	801
4	119	801
5	132	801

Stop Event

1×

saturated

Counts

180 → 114

Calls

Call 1

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (pow.f64 (cbrt.f64 -2/3) 3) (/.f64 b a))
✓	1.0b	(pow.f64 (cbrt.f64 -2/3) 3)

Compiler

Compiled 24 to 17 computations (29.2% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite66.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`pow1_binary64`
762×	`add-log-exp_binary64`
761×	`log1p-expm1-u_binary64`
761×	`expm1-log1p-u_binary64`
745×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	8
1	196	8
2	2076	8

Stop Event

1×	node limit

Counts

2 → 21

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . -2/3)))))

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

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

45 → 22

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))

eval206.0ms (0.9%)

Compiler: Compiled 9844 to 6483 computations (34.1% saved)

prune118.0ms (0.5%)

Pruning

59 alts after pruning (47 fresh and 12 done)

	Pruned	Kept	Total
New	457	11	468
Fresh	10	36	46
Picked	0	1	1
Done	0	11	11
Total	467	59	526

Error

0.4b

Counts

526 → 59

Alt Table

Click to see full alt table

Status	Error	Program
	54.3b	(*.f64 1/2 (/.f64 c b))
	50.8b	(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
	45.2b	(/.f64 (.f64 (.f64 (.f64 c a) -3/2) 1/3) (.f64 b a))
	46.5b	(.f64 (pow.f64 (exp.f64 1) (log.f64 (.f64 b -2))) (/.f64 1/3 a))
✓	45.7b	(.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/3 a))
✓	43.7b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
	44.3b	(*.f64 (/.f64 b 3) (/.f64 -2 a))
✓	46.1b	(-.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)
	44.3b	(/.f64 -2/3 (/.f64 a b))
	44.7b	(.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 c (.f64 3/2 (/.f64 a b)))) 3) (.f64 -2 b)) (/.f64 1/3 a))
	43.7b	(.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (.f64 (/.f64 1 a) 1/3))
	44.3b	(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
	44.6b	(.f64 (.f64 (/.f64 c b) (.f64 a -3/2)) (.f64 (/.f64 1 a) 1/3))
✓	44.7b	(.f64 (+.f64 (/.f64 (.f64 c 3/2) (/.f64 b a)) (*.f64 -2 b)) (/.f64 1/3 a))
	45.7b	(/.f64 (.f64 (/.f64 -3/2 b) (.f64 c a)) (*.f64 3 a))
	45.7b	(/.f64 (.f64 (/.f64 (.f64 c a) b) -1/2) a)
✓	31.6b	(.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) b))) (/.f64 1/3 a))
	41.3b	(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 3)
	54.1b	(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (/.f64 a (/.f64 b c)) 3/2 (.f64 b -2)) (/.f64 1/3 a)))) 1)
	44.6b	(/.f64 (.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) -1/3) (neg.f64 a))
	45.2b	(/.f64 (.f64 (.f64 c a) -3/2) (.f64 (.f64 a 3) b))
	44.9b	(/.f64 (.f64 (/.f64 1/3 a) (-.f64 (.f64 a (.f64 -3 c)) (.f64 b b))) (+.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b))
	45.7b	(/.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 3 a))
	51.7b	(.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c))))) b) (/.f64 1/3 a))
✓	44.3b	(/.f64 (.f64 b -2) (.f64 3 a))
	49.3b	(.f64 (-.f64 (.f64 (sqrt.f64 (*.f64 -3 c)) (sqrt.f64 a)) b) (/.f64 1/3 a))
	59.2b	(/.f64 (*.f64 -1/3 b) a)
	46.5b	(.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 a (/.f64 b c)) 3/2))) (*.f64 -2 b)) (/.f64 1/3 a))
	45.1b	(.f64 (/.f64 (sqrt.f64 (.f64 b -2)) a) (/.f64 (sqrt.f64 (*.f64 b -2)) 3))
	41.4b	(/.f64 -1/2 (/.f64 b c))
✓	31.9b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a))
	53.9b	(*.f64 (-.f64 b b) (/.f64 1/3 a))
	44.6b	(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
	44.3b	(pow.f64 (/.f64 a (/.f64 b -3/2)) -1)
	41.1b	(/.f64 (.f64 c (.f64 a (*.f64 -3/2 (/.f64 1/3 a)))) b)
	44.0b	(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3) a)
	53.0b	(*.f64 (+.f64 (sqrt.f64 (fma.f64 -2/3 (/.f64 b a) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -2/3 (/.f64 b a) 1)) 1))
	44.3b	(/.f64 (*.f64 -2/3 b) a)
	45.7b	(/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 (.f64 c a) (/.f64 b 3/2)) b)) (.f64 3 a))
	41.9b	(/.f64 (/.f64 (*.f64 -1/2 c) (sqrt.f64 b)) (sqrt.f64 b))
✓	44.6b	(.f64 (.f64 (/.f64 c b) (*.f64 a -3/2)) (/.f64 1/3 a))
	46.7b	(.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 2))) (/.f64 1/3 a))
	49.3b	(.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c)) b) b))) (/.f64 1/3 a))
	43.7b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (.f64 3 a))
	44.7b	(.f64 (+.f64 (.f64 c (.f64 3/2 (/.f64 a b))) (.f64 -2 b)) (/.f64 1/3 a))
	44.0b	(/.f64 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -3 c))) b) 1/3)))
✓	36.9b	(.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -3)))))) b) (/.f64 1/3 a))
	57.4b	(sqrt.f64 (pow.f64 (/.f64 -2/3 (/.f64 a b)) 2))
	44.7b	(.f64 (/.f64 (.f64 a -3/2) (/.f64 b c)) (/.f64 1/3 a))
	43.9b	(/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b) (*.f64 a 3))
	43.7b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
	48.4b	(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b))))
	41.0b	(/.f64 (*.f64 -1/2 c) b)
	40.8b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
✓	44.4b	(*.f64 (pow.f64 (cbrt.f64 -2/3) 3) (/.f64 b a))
	45.2b	(.f64 (/.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) (.f64 b b)))) (pow.f64 (exp.f64 1) (log.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 -3 c))) b))))) (/.f64 1/3 a))
✓	44.3b	(*.f64 -2/3 (/.f64 b a))
✓	59.2b	(*.f64 -1/3 (/.f64 b a))
	44.3b	(*.f64 (/.f64 -2/3 a) b)

Compiler

Compiled 889 to 660 computations (25.8% saved)

regimes3.2s (13.7%)

Counts

97 → 3

Calls

Call 1

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

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

Calls

6 calls:

865.0ms	c
716.0ms	(*.f64 3 a)
631.0ms	(*.f64 3 a)
492.0ms	a
353.0ms	b

Results

Error	Segments	Branch
23.1b	8	`a`
7.9b	3	`b`
23.8b	5	`c`
13.1b	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
23.1b	8	`(*.f64 3 a)`
23.1b	8	`(*.f64 3 a)`

Compiler

Compiled 1212 to 757 computations (37.5% saved)

bsearch240.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
157.0ms	2.9167037391392693e-72	2.9552995508575954e-64
82.0ms	-3.5132776694176266e+65	-9.192227780461623e+60

Compiler

Compiled 552 to 409 computations (25.9% saved)

regimes1.6s (6.6%)

Counts

57 → 3

Calls

Call 1

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

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

Calls

5 calls:

442.0ms	c
320.0ms	(*.f64 3 a)
264.0ms	a
259.0ms	b
256.0ms	(*.f64 3 a)

Results

Error	Segments	Branch
26.5b	7	`a`
7.9b	3	`b`
26.1b	9	`c`
26.5b	7	`(*.f64 3 a)`
26.5b	7	`(*.f64 3 a)`

Compiler

Compiled 577 to 345 computations (40.2% saved)

bsearch314.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
192.0ms	2.9167037391392693e-72	2.9552995508575954e-64
122.0ms	-9.505364705435847e+76	-3.5132776694176266e+65

Compiler

Compiled 597 to 438 computations (26.6% saved)

regimes2.6s (10.8%)

Counts

56 → 3

Calls

Call 1

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

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

Calls

5 calls:

818.0ms	c
509.0ms	(*.f64 3 a)
467.0ms	a
450.0ms	b
307.0ms	(*.f64 3 a)

Results

Error	Segments	Branch
30.8b	6	`a`
11.4b	3	`b`
29.7b	10	`c`
30.8b	6	`(*.f64 3 a)`
30.8b	6	`(*.f64 3 a)`

Compiler

Compiled 561 to 335 computations (40.3% saved)

bsearch270.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
248.0ms	2.9167037391392693e-72	2.9552995508575954e-64
22.0ms	-5.634001981993939e-64	-4.97073790580567e-64

Compiler

Compiled 312 to 239 computations (23.4% saved)

regimes2.3s (9.7%)

Counts

53 → 3

Calls

Call 1

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

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

Calls

5 calls:

1.0s	(*.f64 3 a)
396.0ms	(*.f64 3 a)
324.0ms	c
287.0ms	b
275.0ms	a

Results

Error	Segments	Branch
30.8b	6	`a`
11.5b	3	`b`
29.8b	10	`c`
30.8b	6	`(*.f64 3 a)`
30.8b	6	`(*.f64 3 a)`

Compiler

Compiled 520 to 308 computations (40.8% saved)

bsearch197.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
174.0ms	2.9167037391392693e-72	2.9552995508575954e-64
23.0ms	-5.634001981993939e-64	-4.97073790580567e-64

Compiler

Compiled 301 to 228 computations (24.3% saved)

regimes1.3s (5.3%)

Counts

52 → 3

Calls

Call 1

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

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

Calls

5 calls:

320.0ms	c
309.0ms	(*.f64 3 a)
268.0ms	(*.f64 3 a)
207.0ms	a
136.0ms	b

Results

Error	Segments	Branch
30.8b	6	`a`
11.5b	3	`b`
29.8b	10	`c`
30.8b	6	`(*.f64 3 a)`
30.8b	6	`(*.f64 3 a)`

Compiler

Compiled 508 to 301 computations (40.7% saved)

bsearch169.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
148.0ms	2.9167037391392693e-72	2.9552995508575954e-64
21.0ms	-5.634001981993939e-64	-4.97073790580567e-64

Compiler

Compiled 301 to 228 computations (24.3% saved)

regimes949.0ms (4%)

Counts

48 → 2

Calls

Call 1

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

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

Calls

5 calls:

375.0ms	c
185.0ms	b
140.0ms	(*.f64 3 a)
118.0ms	(*.f64 3 a)
115.0ms	a

Results

Error	Segments	Branch
36.1b	4	`a`
22.7b	2	`b`
34.4b	9	`c`
36.1b	4	`(*.f64 3 a)`
36.1b	4	`(*.f64 3 a)`

Compiler

Compiled 460 to 269 computations (41.5% saved)

bsearch50.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
50.0ms	3.096307003430907e-277	1.0182515031231161e-271

Compiler

Compiled 188 to 145 computations (22.9% saved)

regimes383.0ms (1.6%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

3 calls:

269.0ms	c
94.0ms	a
16.0ms	b

Results

Error	Segments	Branch
36.1b	4	`a`
22.7b	2	`b`
34.4b	9	`c`

Compiler

Compiled 85 to 51 computations (40% saved)

bsearch199.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
199.0ms	3.096307003430907e-277	1.0182515031231161e-271

Compiler

Compiled 188 to 145 computations (22.9% saved)

regimes41.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	a
14.0ms	c
10.0ms	b

Results

Error	Segments	Branch
43.1b	3	`a`
36.1b	2	`b`
42.6b	3	`c`

Compiler

Compiled 40 to 26 computations (35% saved)

bsearch455.0ms (1.9%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
455.0ms	1.6057179811320962e+41	5.057586702872774e+41

Compiler

Compiled 116 to 89 computations (23.3% saved)

regimes18.0ms (0.1%)

Accuracy

Total -11.5b remaining (-22.5%)

Threshold costs -11.5b (-22.5%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	b
6.0ms	c
3.0ms	a

Results

Error	Segments	Branch
54.3b	1	`a`
51.0b	2	`b`
54.3b	1	`c`

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch354.0ms (1.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
354.0ms	1.6057179811320962e+41	5.057586702872774e+41

Compiler

Compiled 116 to 89 computations (23.3% saved)

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	78	327
1	106	325
2	124	325
3	133	325
4	139	325
5	141	325

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b -9499999999999999875989708498693149500726119967001179789983744) (pow.f64 (/.f64 a (/.f64 b -3/2)) -1) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b -355000000000000017068509391007179857990897956955967183868450045952) (pow.f64 (/.f64 a (/.f64 b -3/2)) -1) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (.f64 -2/3 (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (.f64 3 a)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (.f64 -2/3 (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (/.f64 1/3 a)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (.f64 -2/3 (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (/.f64 1/3 a)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b 6187104959557631/19958403095347198116563727130368385660674512604354575415025472424372118918689640657849579654926357010893424468441924952439724379883935936607391717982848314203200056729510856765175377214443629871826533567445439239933308104551208703888888552684480441575071209068757560416423584952303440099278848) (.f64 -2/3 (/.f64 b a)) (/.f64 (.f64 -1/2 c) b))
(if (<=.f64 b 6187104959557631/19958403095347198116563727130368385660674512604354575415025472424372118918689640657849579654926357010893424468441924952439724379883935936607391717982848314203200056729510856765175377214443629871826533567445439239933308104551208703888888552684480441575071209068757560416423584952303440099278848) (/.f64 (.f64 -2/3 b) a) (/.f64 (.f64 -1/2 c) b))
(if (<=.f64 b 500000000000000022442856339037958392774656) (/.f64 (.f64 -2/3 b) a) (.f64 1/2 (/.f64 c b)))
(if (<=.f64 b 500000000000000022442856339037958392774656) (/.f64 (.f64 -1/3 b) a) (.f64 1/2 (/.f64 c b)))
(*.f64 1/2 (/.f64 c b))

Outputs
(if (<=.f64 b -9499999999999999875989708498693149500726119967001179789983744) (pow.f64 (/.f64 a (/.f64 b -3/2)) -1) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b -9499999999999999875989708498693149500726119967001179789983744) (pow.f64 (/.f64 a (/.f64 b -3/2)) -1) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a 3) c)))) (.f64 a 3)) (/.f64 (*.f64 c -1/2) b)))
(if (<=.f64 b -9499999999999999875989708498693149500726119967001179789983744) (pow.f64 (/.f64 a (/.f64 b -3/2)) -1) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.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 -355000000000000017068509391007179857990897956955967183868450045952) (pow.f64 (/.f64 a (/.f64 b -3/2)) -1) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 a -3)) (.f64 b b))) b) (/.f64 1/3 a)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b -355000000000000017068509391007179857990897956955967183868450045952) (pow.f64 (/.f64 a (/.f64 b -3/2)) -1) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -3)))) b) (/.f64 1/3 a)) (/.f64 (*.f64 c -1/2) b)))
(if (<=.f64 b -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (.f64 -2/3 (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -3)))) (.f64 3 a)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (.f64 -2/3 (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (.f64 a 3)) (/.f64 (*.f64 c -1/2) b)))
(if (<=.f64 b -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (.f64 -2/3 (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (.f64 (-.f64 (sqrt.f64 (.f64 -3 (.f64 c a))) b) (/.f64 1/3 a)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (.f64 -2/3 (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (.f64 (/.f64 1/3 a) (-.f64 (sqrt.f64 (.f64 -3 (.f64 a c))) b)) (/.f64 (*.f64 c -1/2) b)))
(if (<=.f64 b -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (.f64 -2/3 (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b) (/.f64 1/3 a)) (/.f64 (*.f64 -1/2 c) b)))
(if (<=.f64 b -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (.f64 -2/3 (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (.f64 (/.f64 1/3 a) (-.f64 (sqrt.f64 (.f64 c (.f64 a -3))) b)) (/.f64 (*.f64 c -1/2) b)))
(if (<=.f64 b 6187104959557631/19958403095347198116563727130368385660674512604354575415025472424372118918689640657849579654926357010893424468441924952439724379883935936607391717982848314203200056729510856765175377214443629871826533567445439239933308104551208703888888552684480441575071209068757560416423584952303440099278848) (.f64 -2/3 (/.f64 b a)) (/.f64 (.f64 -1/2 c) b))
(if (<=.f64 b 6187104959557631/19958403095347198116563727130368385660674512604354575415025472424372118918689640657849579654926357010893424468441924952439724379883935936607391717982848314203200056729510856765175377214443629871826533567445439239933308104551208703888888552684480441575071209068757560416423584952303440099278848) (.f64 -2/3 (/.f64 b a)) (/.f64 (.f64 c -1/2) b))
(if (<=.f64 b 6187104959557631/19958403095347198116563727130368385660674512604354575415025472424372118918689640657849579654926357010893424468441924952439724379883935936607391717982848314203200056729510856765175377214443629871826533567445439239933308104551208703888888552684480441575071209068757560416423584952303440099278848) (/.f64 (.f64 -2/3 b) a) (/.f64 (.f64 -1/2 c) b))
(if (<=.f64 b 6187104959557631/19958403095347198116563727130368385660674512604354575415025472424372118918689640657849579654926357010893424468441924952439724379883935936607391717982848314203200056729510856765175377214443629871826533567445439239933308104551208703888888552684480441575071209068757560416423584952303440099278848) (/.f64 (.f64 b -2/3) a) (/.f64 (.f64 c -1/2) b))
(if (<=.f64 b 500000000000000022442856339037958392774656) (/.f64 (.f64 -2/3 b) a) (.f64 1/2 (/.f64 c b)))
(if (<=.f64 b 500000000000000022442856339037958392774656) (/.f64 (.f64 b -2/3) a) (.f64 1/2 (/.f64 c b)))
(if (<=.f64 b 500000000000000022442856339037958392774656) (/.f64 (.f64 -1/3 b) a) (.f64 1/2 (/.f64 c b)))
(if (<=.f64 b 500000000000000022442856339037958392774656) (/.f64 (.f64 b -1/3) a) (.f64 1/2 (/.f64 c b)))
(*.f64 1/2 (/.f64 c b))

Compiler

Compiled 253 to 177 computations (30% saved)

soundness72.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

895×	`fma-def_binary64`
660×	`associate-/l*_binary64`
590×	`associate-/r*_binary64`
465×	`unswap-sqr_binary64`
435×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	2478
1	581	2399
2	2100	2321
3	7371	2321

Stop Event

1×	node limit

Compiler

Compiled 12 to 10 computations (16.7% saved)

end133.0ms (0.6%)

Compiler: Compiled 226 to 144 computations (36.3% saved)