Details

analyze756.0ms (3.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
0%	0%	99.8%	0.2%	0%	0%	0%	9
0%	0%	99.8%	0.2%	0%	0%	0%	10
9.4%	9.4%	90.4%	0.2%	0%	0%	0%	11
15.2%	15.2%	84.6%	0.2%	0%	0%	0%	12

Compiler

Compiled 20 to 14 computations (30% saved)

sample3.4s (16.9%)

Results

2.5s	8256×	body	256	valid
839.0ms	3151×	body	256	infinite

Bogosity

preprocess86.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

623×	`unsub-neg_binary64`
450×	`distribute-neg-frac_binary64`
353×	`associate-/l/_binary64`
332×	`neg-mul-1_binary64`
315×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	154
1	122	154
2	290	154
3	608	154
4	1386	133
5	3619	112
6	7275	112
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

Inputs
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
(+.f64 (-.f64 y (/.f64 x (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) x)))
(+.f64 (-.f64 z (/.f64 y (.f64 x 3))) (/.f64 t (.f64 (*.f64 x 3) y)))
(+.f64 (-.f64 t (/.f64 y (.f64 z 3))) (/.f64 x (.f64 (*.f64 z 3) y)))
(+.f64 (-.f64 x (/.f64 z (.f64 y 3))) (/.f64 t (.f64 (*.f64 y 3) z)))
(+.f64 (-.f64 x (/.f64 t (.f64 z 3))) (/.f64 y (.f64 (*.f64 z 3) t)))
(+.f64 (-.f64 x (/.f64 y (.f64 t 3))) (/.f64 z (.f64 (*.f64 t 3) y)))

Outputs
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 y (*.f64 z 3))))
(+.f64 x (-.f64 (.f64 -1/3 (/.f64 y z)) (.f64 -1/3 (/.f64 t (*.f64 y z)))))
(+.f64 x (.f64 -1/3 (-.f64 (/.f64 y z) (/.f64 t (.f64 y z)))))
(-.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 (/.f64 t y) y)))
(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
(+.f64 (-.f64 y (/.f64 x (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) x)))
(+.f64 (-.f64 y (/.f64 x (.f64 z 3))) (/.f64 t (.f64 x (*.f64 z 3))))
(-.f64 y (-.f64 (/.f64 x (.f64 z 3)) (/.f64 t (.f64 z (*.f64 x 3)))))
(+.f64 y (.f64 -1/3 (-.f64 (/.f64 x z) (/.f64 t (.f64 x z)))))
(+.f64 y (*.f64 (/.f64 -1/3 z) (-.f64 x (/.f64 t x))))
(+.f64 (-.f64 z (/.f64 y (.f64 x 3))) (/.f64 t (.f64 (*.f64 x 3) y)))
(+.f64 (-.f64 z (/.f64 y (.f64 x 3))) (/.f64 t (.f64 x (*.f64 y 3))))
(-.f64 (+.f64 (/.f64 (/.f64 t y) (.f64 x 3)) z) (/.f64 y (.f64 x 3)))
(-.f64 (+.f64 z (/.f64 (/.f64 t y) (.f64 x 3))) (/.f64 y (.f64 x 3)))
(+.f64 z (-.f64 (/.f64 t (.f64 3 (.f64 x y))) (/.f64 y (*.f64 x 3))))
(+.f64 z (.f64 -1/3 (-.f64 (/.f64 y x) (/.f64 t (.f64 x y)))))
(+.f64 z (*.f64 (/.f64 -1/3 x) (-.f64 y (/.f64 t y))))
(+.f64 (-.f64 t (/.f64 y (.f64 z 3))) (/.f64 x (.f64 (*.f64 z 3) y)))
(+.f64 (-.f64 t (/.f64 y (.f64 z 3))) (/.f64 x (.f64 y (*.f64 z 3))))
(+.f64 (+.f64 t (.f64 -1/3 (/.f64 y z))) (/.f64 x (.f64 y (*.f64 z 3))))
(+.f64 t (.f64 -1/3 (-.f64 (/.f64 y z) (/.f64 x (.f64 y z)))))
(+.f64 t (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 x y))))
(+.f64 (-.f64 x (/.f64 z (.f64 y 3))) (/.f64 t (.f64 (*.f64 y 3) z)))
(+.f64 (/.f64 t (.f64 y (.f64 z 3))) (-.f64 x (/.f64 z (*.f64 y 3))))
(+.f64 x (+.f64 (/.f64 t (.f64 y (.f64 z 3))) (*.f64 -1/3 (/.f64 z y))))
(+.f64 x (.f64 -1/3 (-.f64 (/.f64 z y) (/.f64 t (.f64 y z)))))
(+.f64 x (*.f64 (/.f64 -1/3 y) (-.f64 z (/.f64 t z))))
(+.f64 (-.f64 x (/.f64 t (.f64 z 3))) (/.f64 y (.f64 (*.f64 z 3) t)))
(+.f64 (-.f64 x (/.f64 t (.f64 z 3))) (/.f64 y (.f64 z (*.f64 3 t))))
(-.f64 x (-.f64 (/.f64 t (.f64 z 3)) (/.f64 y (.f64 3 (*.f64 z t)))))
(-.f64 x (-.f64 (/.f64 (/.f64 t z) 3) (/.f64 y (.f64 z (.f64 3 t)))))
(+.f64 x (.f64 -1/3 (-.f64 (/.f64 t z) (/.f64 y (.f64 z t)))))
(-.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 (/.f64 y t) t)))
(+.f64 (-.f64 x (/.f64 y (.f64 t 3))) (/.f64 z (.f64 (*.f64 t 3) y)))
(+.f64 (-.f64 x (/.f64 y (.f64 3 t))) (/.f64 z (.f64 y (*.f64 3 t))))
(+.f64 (-.f64 x (/.f64 (/.f64 y 3) t)) (/.f64 z (.f64 3 (.f64 t y))))
(+.f64 (-.f64 x (/.f64 (/.f64 y 3) t)) (/.f64 z (.f64 3 (.f64 y t))))
(+.f64 (+.f64 x (.f64 -1/3 (/.f64 y t))) (/.f64 z (.f64 y (*.f64 3 t))))
(+.f64 x (.f64 -1/3 (-.f64 (/.f64 y t) (/.f64 z (.f64 y t)))))
(+.f64 x (*.f64 (/.f64 -1/3 t) (-.f64 y (/.f64 z y))))

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify110.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

871×	`distribute-rgt-in_binary64`
684×	`div-sub_binary64`
398×	`distribute-neg-frac_binary64`
393×	`sub-neg_binary64`
387×	`neg-mul-1_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	25	22
2	59	22
3	116	22
4	255	20
5	550	16
6	1243	14
7	3502	14
8	4744	14
9	5729	14
10	6696	14
11	7305	14
12	7579	14

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))

Outputs
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 y (*.f64 z 3))))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t z) (.f64 y 3)))
(+.f64 (+.f64 x (.f64 -1/3 (/.f64 y z))) (/.f64 t (.f64 y (*.f64 z 3))))
(+.f64 x (fma.f64 -1/3 (/.f64 y z) (/.f64 t (.f64 y (.f64 z 3)))))
(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)

eval1.0ms (0%)

Compiler: Compiled 29 to 18 computations (37.9% saved)

prune1.0ms (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

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	5.5b	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
▶	3.3b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))

Compiler

Compiled 33 to 22 computations (33.3% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 y (*.f64 z 3)))
✓	0.2b	(/.f64 y (*.f64 z 3))
✓	0.2b	(.f64 (.f64 z 3) y)
✓	6.3b	(/.f64 t (.f64 (.f64 z 3) y))

Compiler

Compiled 51 to 30 computations (41.2% saved)

series21.0ms (0.1%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(/.f64 t (.f64 (.f64 z 3) y))
2.0ms	z	@	0	(/.f64 y (*.f64 z 3))
1.0ms	y	@	0	(/.f64 t (.f64 (.f64 z 3) y))
1.0ms	t	@	0	(/.f64 t (.f64 (.f64 z 3) y))
1.0ms	t	@	inf	(/.f64 t (.f64 (.f64 z 3) y))

rewrite115.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

736×	`log-prod_binary64`
595×	`prod-diff_binary64`
232×	`expm1-udef_binary64`
232×	`log1p-udef_binary64`
230×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	246	34
2	3675	34

Stop Event

1×	node limit

Counts

4 → 282

Calls

Call 1

Inputs
(/.f64 t (.f64 (.f64 z 3) y))
(.f64 (.f64 z 3) y)
(/.f64 y (*.f64 z 3))
(-.f64 x (/.f64 y (*.f64 z 3)))

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

simplify40.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

19×	`associate-/l*_binary64`
16×	`*-commutative_binary64`
12×	`associate-*r/_binary64`
10×	`associate-/r/_binary64`
9×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	945
1	33	945
2	66	945
3	100	945
4	127	945
5	130	945

Stop Event

1×

saturated

Counts

402 → 292

Calls

Call 1

Inputs
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
x
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
x
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
x
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(*.f64 -1/3 (/.f64 y z))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(*.f64 -1/3 (/.f64 y z))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(*.f64 -1/3 (/.f64 y z))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
x
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
x
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)

Outputs
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(/.f64 (/.f64 t (/.f64 z 1/3)) y)
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(*.f64 1/3 (/.f64 y z))
(/.f64 (*.f64 1/3 y) z)
(*.f64 1/3 (/.f64 y z))
(/.f64 (*.f64 1/3 y) z)
(*.f64 1/3 (/.f64 y z))
(/.f64 (*.f64 1/3 y) z)
(*.f64 1/3 (/.f64 y z))
(/.f64 (*.f64 1/3 y) z)
(*.f64 1/3 (/.f64 y z))
(/.f64 (*.f64 1/3 y) z)
(*.f64 1/3 (/.f64 y z))
(/.f64 (*.f64 1/3 y) z)
(*.f64 1/3 (/.f64 y z))
(/.f64 (*.f64 1/3 y) z)
(*.f64 1/3 (/.f64 y z))
(/.f64 (*.f64 1/3 y) z)
(*.f64 1/3 (/.f64 y z))
(/.f64 (*.f64 1/3 y) z)
(*.f64 1/3 (/.f64 y z))
(/.f64 (*.f64 1/3 y) z)
(*.f64 1/3 (/.f64 y z))
(/.f64 (*.f64 1/3 y) z)
(*.f64 1/3 (/.f64 y z))
(/.f64 (*.f64 1/3 y) z)
(*.f64 1/3 (/.f64 y z))
(/.f64 (*.f64 1/3 y) z)
(*.f64 1/3 (/.f64 y z))
(/.f64 (*.f64 1/3 y) z)
(*.f64 1/3 (/.f64 y z))
(/.f64 (*.f64 1/3 y) z)
(*.f64 1/3 (/.f64 y z))
(/.f64 (*.f64 1/3 y) z)
(*.f64 1/3 (/.f64 y z))
(/.f64 (*.f64 1/3 y) z)
(*.f64 1/3 (/.f64 y z))
(/.f64 (*.f64 1/3 y) z)
(*.f64 1/3 (/.f64 y z))
(/.f64 (*.f64 1/3 y) z)
(*.f64 1/3 (/.f64 y z))
(/.f64 (*.f64 1/3 y) z)
(*.f64 1/3 (/.f64 y z))
(/.f64 (*.f64 1/3 y) z)
(*.f64 1/3 (/.f64 y z))
(/.f64 (*.f64 1/3 y) z)
(*.f64 1/3 (/.f64 y z))
(/.f64 (*.f64 1/3 y) z)
(*.f64 1/3 (/.f64 y z))
(/.f64 (*.f64 1/3 y) z)
(*.f64 -1/3 (/.f64 y z))
(/.f64 (*.f64 -1/3 y) z)
(/.f64 (*.f64 y -1/3) z)
(*.f64 (/.f64 -1/3 z) y)
(*.f64 y (/.f64 -1/3 z))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)
x
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)
x
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)
x
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)
(*.f64 -1/3 (/.f64 y z))
(/.f64 (*.f64 -1/3 y) z)
(/.f64 (*.f64 y -1/3) z)
(*.f64 (/.f64 -1/3 z) y)
(*.f64 y (/.f64 -1/3 z))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)
(*.f64 -1/3 (/.f64 y z))
(/.f64 (*.f64 -1/3 y) z)
(/.f64 (*.f64 y -1/3) z)
(*.f64 (/.f64 -1/3 z) y)
(*.f64 y (/.f64 -1/3 z))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)
(*.f64 -1/3 (/.f64 y z))
(/.f64 (*.f64 -1/3 y) z)
(/.f64 (*.f64 y -1/3) z)
(*.f64 (/.f64 -1/3 z) y)
(*.f64 y (/.f64 -1/3 z))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)
x
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)
x
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 y (/.f64 -1/3 z) x)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 -1/3 z)
✓	5.1b	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)

Compiler

Compiled 30 to 12 computations (60% saved)

series8.0ms (0%)

Counts

2 → 48

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
1.0ms	t	@	inf	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
1.0ms	t	@	0	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
1.0ms	x	@	0	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
1.0ms	t	@	-inf	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

610×	`prod-diff_binary64`
546×	`log-prod_binary64`
306×	`pow2_binary64`
231×	`fma-def_binary64`
211×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	223	18
2	3101	18

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
(/.f64 -1/3 z)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 2) (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) 2) (-.f64 (.f64 x x) (.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) 2) (.f64 x x)) (-.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 x) (exp.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1/3 z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/3 z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/3 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/3 (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/3 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 -1/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 -1/3 z)) (pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 2) (cbrt.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 -1/3 z)) (sqrt.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 z) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/3 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 (.f64 z z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/3 z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/3 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z -1/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 z -1/3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/3 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1/3 z)) 1))))))

Outputs

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

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

simplify135.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1440×	`fma-def_binary64`
725×	`div-sub_binary64`
469×	`fma-neg_binary64`
356×	`times-frac_binary64`
288×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	571
1	45	571
2	96	571
3	175	571
4	326	571
5	605	571
6	1220	571
7	2285	571
8	5004	571
9	6182	571
10	6989	571
11	7469	571
12	7727	571

Stop Event

1×	node limit

Counts

105 → 71

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
x
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
x
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(.f64 1/3 (/.f64 t (.f64 y z)))
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(*.f64 -1/3 (/.f64 y z))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(*.f64 -1/3 (/.f64 y z))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(.f64 1/3 (/.f64 t (.f64 y z)))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(.f64 1/3 (/.f64 t (.f64 y z)))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
x
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
x
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)

Outputs
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
x
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
x
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 1/3 (/.f64 (/.f64 t y) z))
(/.f64 t (*.f64 z (/.f64 y 1/3)))
(*.f64 t (/.f64 (/.f64 1/3 y) z))
(/.f64 t (.f64 y (.f64 3 z)))
(/.f64 t (.f64 y (.f64 z 3)))
(/.f64 t (.f64 z (.f64 y 3)))
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 1/3 (/.f64 (/.f64 t y) z) x)
(fma.f64 t (/.f64 1/3 (*.f64 y z)) x)
(fma.f64 t (/.f64 (/.f64 1/3 y) z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(*.f64 -1/3 (/.f64 y z))
(/.f64 (*.f64 -1/3 y) z)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(*.f64 -1/3 (/.f64 y z))
(/.f64 (*.f64 -1/3 y) z)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 1/3 (/.f64 (/.f64 t y) z))
(/.f64 t (*.f64 z (/.f64 y 1/3)))
(*.f64 t (/.f64 (/.f64 1/3 y) z))
(/.f64 t (.f64 y (.f64 3 z)))
(/.f64 t (.f64 y (.f64 z 3)))
(/.f64 t (.f64 z (.f64 y 3)))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 1/3 (/.f64 (/.f64 t y) z))
(/.f64 t (*.f64 z (/.f64 y 1/3)))
(*.f64 t (/.f64 (/.f64 1/3 y) z))
(/.f64 t (.f64 y (.f64 3 z)))
(/.f64 t (.f64 y (.f64 z 3)))
(/.f64 t (.f64 z (.f64 y 3)))
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
x
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
x
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x)
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)

eval236.0ms (1.2%)

Compiler: Compiled 9858 to 5724 computations (41.9% saved)

prune139.0ms (0.7%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	343	20	363
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	345	20	365

Error

Counts

365 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	17.9b	(fma.f64 -1/3 (/.f64 y z) x)
	3.3b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 3 (*.f64 y z))))
	17.9b	(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
▶	1.4b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 y) (*.f64 t (/.f64 1/3 z))))
▶	48.3b	(/.f64 t (.f64 z (.f64 y 3)))
	27.2b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (pow.f64 (pow.f64 (.f64 t (/.f64 (/.f64 1/3 z) y)) 3) 1/3))
	5.4b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 z) (/.f64 t (*.f64 3 y))))
	3.3b	(+.f64 (-.f64 x (pow.f64 (.f64 3 (/.f64 z y)) -1)) (/.f64 t (.f64 (*.f64 z 3) y)))
	3.3b	(+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
	48.4b	(.f64 1/3 (/.f64 t (.f64 y z)))
	25.0b	(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))
	39.4b	x
▶	3.5b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 (/.f64 1/3 z) y) t))
	29.3b	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
	17.9b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (cbrt.f64 (pow.f64 (.f64 z (*.f64 3 y)) 3))))
	42.0b	(/.f64 (*.f64 -1/3 y) z)
▶	42.0b	(*.f64 -1/3 (/.f64 y z))
	5.5b	(fma.f64 (*.f64 (/.f64 1 z) -1/3) (-.f64 y (/.f64 t y)) x)
▶	3.3b	(+.f64 (-.f64 x (.f64 (neg.f64 y) (/.f64 1 (.f64 z -3)))) (/.f64 t (.f64 (.f64 z 3) y)))
	29.3b	(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))

Compiler

Compiled 615 to 440 computations (28.5% saved)

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 t (/.f64 1/3 z))
	0.2b	(/.f64 y (*.f64 z 3))
✓	0.4b	(/.f64 1/3 z)
✓	4.7b	(.f64 (/.f64 1 y) (.f64 t (/.f64 1/3 z)))

Compiler

Compiled 63 to 40 computations (36.5% saved)

series11.0ms (0.1%)

Counts

3 → 60

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(*.f64 t (/.f64 1/3 z))
1.0ms	t	@	0	(*.f64 t (/.f64 1/3 z))
1.0ms	z	@	inf	(*.f64 t (/.f64 1/3 z))
1.0ms	z	@	0	(/.f64 1/3 z)
1.0ms	t	@	-inf	(*.f64 t (/.f64 1/3 z))

rewrite99.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`log-prod_binary64`
397×	`prod-exp_binary64`
391×	`exp-prod_binary64`
320×	`pow-prod-down_binary64`
257×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	209	21
2	2597	21

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

Inputs
(.f64 (/.f64 1 y) (.f64 t (/.f64 1/3 z)))
(/.f64 1/3 z)
(*.f64 t (/.f64 1/3 z))

Outputs

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

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

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

simplify41.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`associate-/l*_binary64`
9×	`associate-*r/_binary64`
7×	`*-commutative_binary64`
7×	`associate-/r/_binary64`
6×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	528
1	18	528
2	37	528
3	60	528
4	83	528
5	83	528

Stop Event

1×

saturated

Counts

201 → 145

Calls

Call 1

Inputs
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 1/3 (/.f64 t z))
(*.f64 1/3 (/.f64 t z))
(*.f64 1/3 (/.f64 t z))
(*.f64 1/3 (/.f64 t z))
(*.f64 1/3 (/.f64 t z))
(*.f64 1/3 (/.f64 t z))
(*.f64 1/3 (/.f64 t z))
(*.f64 1/3 (/.f64 t z))
(*.f64 1/3 (/.f64 t z))
(*.f64 1/3 (/.f64 t z))
(*.f64 1/3 (/.f64 t z))
(*.f64 1/3 (/.f64 t z))
(*.f64 1/3 (/.f64 t z))
(*.f64 1/3 (/.f64 t z))
(*.f64 1/3 (/.f64 t z))
(*.f64 1/3 (/.f64 t z))
(*.f64 1/3 (/.f64 t z))
(*.f64 1/3 (/.f64 t z))
(*.f64 1/3 (/.f64 t z))
(*.f64 1/3 (/.f64 t z))
(*.f64 1/3 (/.f64 t z))
(*.f64 1/3 (/.f64 t z))
(*.f64 1/3 (/.f64 t z))
(*.f64 1/3 (/.f64 t z))

Outputs
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(*.f64 1/3 (/.f64 t z))
(/.f64 (*.f64 1/3 t) z)
(*.f64 (/.f64 1/3 z) t)
(*.f64 t (/.f64 1/3 z))
(*.f64 1/3 (/.f64 t z))
(/.f64 (*.f64 1/3 t) z)
(*.f64 (/.f64 1/3 z) t)
(*.f64 t (/.f64 1/3 z))
(*.f64 1/3 (/.f64 t z))
(/.f64 (*.f64 1/3 t) z)
(*.f64 (/.f64 1/3 z) t)
(*.f64 t (/.f64 1/3 z))
(*.f64 1/3 (/.f64 t z))
(/.f64 (*.f64 1/3 t) z)
(*.f64 (/.f64 1/3 z) t)
(*.f64 t (/.f64 1/3 z))
(*.f64 1/3 (/.f64 t z))
(/.f64 (*.f64 1/3 t) z)
(*.f64 (/.f64 1/3 z) t)
(*.f64 t (/.f64 1/3 z))
(*.f64 1/3 (/.f64 t z))
(/.f64 (*.f64 1/3 t) z)
(*.f64 (/.f64 1/3 z) t)
(*.f64 t (/.f64 1/3 z))
(*.f64 1/3 (/.f64 t z))
(/.f64 (*.f64 1/3 t) z)
(*.f64 (/.f64 1/3 z) t)
(*.f64 t (/.f64 1/3 z))
(*.f64 1/3 (/.f64 t z))
(/.f64 (*.f64 1/3 t) z)
(*.f64 (/.f64 1/3 z) t)
(*.f64 t (/.f64 1/3 z))
(*.f64 1/3 (/.f64 t z))
(/.f64 (*.f64 1/3 t) z)
(*.f64 (/.f64 1/3 z) t)
(*.f64 t (/.f64 1/3 z))
(*.f64 1/3 (/.f64 t z))
(/.f64 (*.f64 1/3 t) z)
(*.f64 (/.f64 1/3 z) t)
(*.f64 t (/.f64 1/3 z))
(*.f64 1/3 (/.f64 t z))
(/.f64 (*.f64 1/3 t) z)
(*.f64 (/.f64 1/3 z) t)
(*.f64 t (/.f64 1/3 z))
(*.f64 1/3 (/.f64 t z))
(/.f64 (*.f64 1/3 t) z)
(*.f64 (/.f64 1/3 z) t)
(*.f64 t (/.f64 1/3 z))
(*.f64 1/3 (/.f64 t z))
(/.f64 (*.f64 1/3 t) z)
(*.f64 (/.f64 1/3 z) t)
(*.f64 t (/.f64 1/3 z))
(*.f64 1/3 (/.f64 t z))
(/.f64 (*.f64 1/3 t) z)
(*.f64 (/.f64 1/3 z) t)
(*.f64 t (/.f64 1/3 z))
(*.f64 1/3 (/.f64 t z))
(/.f64 (*.f64 1/3 t) z)
(*.f64 (/.f64 1/3 z) t)
(*.f64 t (/.f64 1/3 z))
(*.f64 1/3 (/.f64 t z))
(/.f64 (*.f64 1/3 t) z)
(*.f64 (/.f64 1/3 z) t)
(*.f64 t (/.f64 1/3 z))
(*.f64 1/3 (/.f64 t z))
(/.f64 (*.f64 1/3 t) z)
(*.f64 (/.f64 1/3 z) t)
(*.f64 t (/.f64 1/3 z))
(*.f64 1/3 (/.f64 t z))
(/.f64 (*.f64 1/3 t) z)
(*.f64 (/.f64 1/3 z) t)
(*.f64 t (/.f64 1/3 z))
(*.f64 1/3 (/.f64 t z))
(/.f64 (*.f64 1/3 t) z)
(*.f64 (/.f64 1/3 z) t)
(*.f64 t (/.f64 1/3 z))
(*.f64 1/3 (/.f64 t z))
(/.f64 (*.f64 1/3 t) z)
(*.f64 (/.f64 1/3 z) t)
(*.f64 t (/.f64 1/3 z))
(*.f64 1/3 (/.f64 t z))
(/.f64 (*.f64 1/3 t) z)
(*.f64 (/.f64 1/3 z) t)
(*.f64 t (/.f64 1/3 z))
(*.f64 1/3 (/.f64 t z))
(/.f64 (*.f64 1/3 t) z)
(*.f64 (/.f64 1/3 z) t)
(*.f64 t (/.f64 1/3 z))
(*.f64 1/3 (/.f64 t z))
(/.f64 (*.f64 1/3 t) z)
(*.f64 (/.f64 1/3 z) t)
(*.f64 t (/.f64 1/3 z))
(*.f64 1/3 (/.f64 t z))
(/.f64 (*.f64 1/3 t) z)
(*.f64 (/.f64 1/3 z) t)
(*.f64 t (/.f64 1/3 z))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 8 computations (46.7% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 y z))

Outputs

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 z (.f64 y 3))
✓	6.3b	(/.f64 t (.f64 z (.f64 y 3)))

Compiler

Compiled 23 to 14 computations (39.1% saved)

series8.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(.f64 z (.f64 y 3))
1.0ms	t	@	0	(/.f64 t (.f64 z (.f64 y 3)))
0.0ms	y	@	-inf	(/.f64 t (.f64 z (.f64 y 3)))
0.0ms	y	@	inf	(/.f64 t (.f64 z (.f64 y 3)))
0.0ms	z	@	inf	(/.f64 t (.f64 z (.f64 y 3)))

rewrite81.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

917×	`pow1_binary64`
852×	`add-log-exp_binary64`
852×	`log1p-expm1-u_binary64`
852×	`expm1-log1p-u_binary64`
834×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	168	17
2	2236	17

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(/.f64 t (.f64 z (.f64 y 3)))
(.f64 z (.f64 y 3))

Outputs

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

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

simplify35.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64`
10×	`*-commutative_binary64`
10×	`associate-*r/_binary64`
8×	`associate-/r/_binary64`
7×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	528
1	19	528
2	44	528
3	71	528
4	95	528
5	97	528

Stop Event

1×

saturated

Counts

114 → 58

Calls

Call 1

Inputs
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))
(.f64 3 (.f64 y z))

Outputs
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))
(.f64 3 (.f64 y z))
(.f64 (.f64 y z) 3)
(.f64 y (.f64 z 3))

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1/3 z) y)
	0.2b	(/.f64 y (*.f64 z 3))
	0.4b	(/.f64 1/3 z)
✓	6.0b	(*.f64 (/.f64 (/.f64 1/3 z) y) t)

Compiler

Compiled 55 to 33 computations (40% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(/.f64 (/.f64 1/3 z) y)
0.0ms	z	@	0	(/.f64 (/.f64 1/3 z) y)
0.0ms	z	@	-inf	(/.f64 (/.f64 1/3 z) y)
0.0ms	z	@	0	(*.f64 (/.f64 (/.f64 1/3 z) y) t)
0.0ms	y	@	-inf	(*.f64 (/.f64 (/.f64 1/3 z) y) t)

rewrite61.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

959×	`pow1_binary64`
892×	`add-log-exp_binary64`
892×	`log1p-expm1-u_binary64`
892×	`expm1-log1p-u_binary64`
89×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	175	17
2	2366	17

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

Inputs
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(/.f64 (/.f64 1/3 z) y)

Outputs

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

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

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`associate-/l*_binary64`
10×	`associate-*r/_binary64`
8×	`associate-/r/_binary64`
7×	`associate-*l/_binary64`
6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	528
1	17	528
2	35	528
3	60	528
4	82	528
5	84	528

Stop Event

1×

saturated

Counts

123 → 67

Calls

Call 1

Inputs
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 1/3 (*.f64 y z))
(/.f64 1/3 (*.f64 y z))
(/.f64 1/3 (*.f64 y z))
(/.f64 1/3 (*.f64 y z))
(/.f64 1/3 (*.f64 y z))
(/.f64 1/3 (*.f64 y z))
(/.f64 1/3 (*.f64 y z))
(/.f64 1/3 (*.f64 y z))
(/.f64 1/3 (*.f64 y z))
(/.f64 1/3 (*.f64 y z))
(/.f64 1/3 (*.f64 y z))
(/.f64 1/3 (*.f64 y z))
(/.f64 1/3 (*.f64 y z))
(/.f64 1/3 (*.f64 y z))
(/.f64 1/3 (*.f64 y z))
(/.f64 1/3 (*.f64 y z))
(/.f64 1/3 (*.f64 y z))
(/.f64 1/3 (*.f64 y z))
(/.f64 1/3 (*.f64 y z))
(/.f64 1/3 (*.f64 y z))
(/.f64 1/3 (*.f64 y z))
(/.f64 1/3 (*.f64 y z))
(/.f64 1/3 (*.f64 y z))
(/.f64 1/3 (*.f64 y z))

Outputs
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 (/.f64 (/.f64 1/3 z) y) t)
(/.f64 1/3 (*.f64 y z))
(/.f64 (/.f64 1/3 z) y)
(/.f64 1/3 (*.f64 y z))
(/.f64 (/.f64 1/3 z) y)
(/.f64 1/3 (*.f64 y z))
(/.f64 (/.f64 1/3 z) y)
(/.f64 1/3 (*.f64 y z))
(/.f64 (/.f64 1/3 z) y)
(/.f64 1/3 (*.f64 y z))
(/.f64 (/.f64 1/3 z) y)
(/.f64 1/3 (*.f64 y z))
(/.f64 (/.f64 1/3 z) y)
(/.f64 1/3 (*.f64 y z))
(/.f64 (/.f64 1/3 z) y)
(/.f64 1/3 (*.f64 y z))
(/.f64 (/.f64 1/3 z) y)
(/.f64 1/3 (*.f64 y z))
(/.f64 (/.f64 1/3 z) y)
(/.f64 1/3 (*.f64 y z))
(/.f64 (/.f64 1/3 z) y)
(/.f64 1/3 (*.f64 y z))
(/.f64 (/.f64 1/3 z) y)
(/.f64 1/3 (*.f64 y z))
(/.f64 (/.f64 1/3 z) y)
(/.f64 1/3 (*.f64 y z))
(/.f64 (/.f64 1/3 z) y)
(/.f64 1/3 (*.f64 y z))
(/.f64 (/.f64 1/3 z) y)
(/.f64 1/3 (*.f64 y z))
(/.f64 (/.f64 1/3 z) y)
(/.f64 1/3 (*.f64 y z))
(/.f64 (/.f64 1/3 z) y)
(/.f64 1/3 (*.f64 y z))
(/.f64 (/.f64 1/3 z) y)
(/.f64 1/3 (*.f64 y z))
(/.f64 (/.f64 1/3 z) y)
(/.f64 1/3 (*.f64 y z))
(/.f64 (/.f64 1/3 z) y)
(/.f64 1/3 (*.f64 y z))
(/.f64 (/.f64 1/3 z) y)
(/.f64 1/3 (*.f64 y z))
(/.f64 (/.f64 1/3 z) y)
(/.f64 1/3 (*.f64 y z))
(/.f64 (/.f64 1/3 z) y)
(/.f64 1/3 (*.f64 y z))
(/.f64 (/.f64 1/3 z) y)
(/.f64 1/3 (*.f64 y z))
(/.f64 (/.f64 1/3 z) y)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 z 3) y)
✓	0.2b	(.f64 (neg.f64 y) (/.f64 1 (.f64 z -3)))
✓	0.3b	(/.f64 1 (*.f64 z -3))
	6.3b	(/.f64 t (.f64 (.f64 z 3) y))

Compiler

Compiled 72 to 45 computations (37.5% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

763×	`pow1_binary64`
708×	`add-log-exp_binary64`
708×	`log1p-expm1-u_binary64`
708×	`expm1-log1p-u_binary64`
694×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	186	11
2	2344	11

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(/.f64 1 (*.f64 z -3))
(.f64 (neg.f64 y) (/.f64 1 (.f64 z -3)))

Outputs

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

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	216
1	11	216
2	15	216
3	19	216
4	20	216

Stop Event

1×

saturated

Counts

88 → 54

Calls

Call 1

Inputs
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))

Outputs
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))

eval332.0ms (1.7%)

Compiler: Compiled 10122 to 6447 computations (36.3% saved)

prune217.0ms (1.1%)

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	522	14	536
Fresh	8	7	15
Picked	0	1	1
Done	1	3	4
Total	531	25	556

Error

Counts

556 → 25

Alt Table

Click to see full alt table

Status	Error	Program
✓	42.0b	(*.f64 -1/3 (/.f64 y z))
	48.3b	(/.f64 t (.f64 y (.f64 z 3)))
	3.4b	(+.f64 (-.f64 x (.f64 (neg.f64 y) (.f64 (/.f64 1 z) -1/3))) (/.f64 t (.f64 (.f64 z 3) y)))
	50.3b	(*.f64 (/.f64 t y) (/.f64 1/3 z))
	50.3b	(.f64 (/.f64 1 z) (/.f64 t (.f64 y 3)))
▶	46.4b	(.f64 (/.f64 t z) (/.f64 1 (.f64 y 3)))
	48.4b	(.f64 1/3 (/.f64 t (.f64 y z)))
✓	48.3b	(/.f64 t (.f64 z (.f64 y 3)))
	5.4b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 z) (/.f64 t (*.f64 3 y))))
▶	1.4b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 y) (*.f64 1/3 (/.f64 t z))))
	25.0b	(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))
	48.6b	(.f64 (/.f64 1 (.f64 z y)) (/.f64 t 3))
	42.0b	(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
	39.4b	x
✓	3.5b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 (/.f64 1/3 z) y) t))
▶	42.0b	(/.f64 -1/3 (/.f64 z y))
	5.4b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t y) (.f64 z 3)))
✓	3.3b	(+.f64 (-.f64 x (.f64 (neg.f64 y) (/.f64 1 (.f64 z -3)))) (/.f64 t (.f64 (.f64 z 3) y)))
	29.3b	(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
	3.3b	(+.f64 (-.f64 x (/.f64 -1 (/.f64 (.f64 z -3) y))) (/.f64 t (.f64 (*.f64 z 3) y)))
▶	17.9b	(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
	42.0b	(/.f64 (*.f64 -1/3 y) z)
	48.4b	(/.f64 t (.f64 3 (.f64 y z)))
▶	29.3b	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
	1.4b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 (.f64 t 1/3) z) y))

Compiler

Compiled 636 to 462 computations (27.4% saved)

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 x (/.f64 y (*.f64 z 3)))
	0.2b	(/.f64 y (*.f64 z 3))
✓	0.3b	(*.f64 1/3 (/.f64 t z))
✓	4.7b	(.f64 (/.f64 1 y) (.f64 1/3 (/.f64 t z)))

Compiler

Compiled 63 to 36 computations (42.9% saved)

series8.0ms (0%)

Counts

2 → 36

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(.f64 (/.f64 1 y) (.f64 1/3 (/.f64 t z)))
1.0ms	t	@	inf	(.f64 (/.f64 1 y) (.f64 1/3 (/.f64 t z)))
1.0ms	y	@	-inf	(.f64 (/.f64 1 y) (.f64 1/3 (/.f64 t z)))
1.0ms	y	@	inf	(.f64 (/.f64 1 y) (.f64 1/3 (/.f64 t z)))
1.0ms	z	@	inf	(.f64 (/.f64 1 y) (.f64 1/3 (/.f64 t z)))

rewrite102.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

523×	`log-prod_binary64`
409×	`exp-prod_binary64`
365×	`prod-exp_binary64`
301×	`pow-prod-down_binary64`
258×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	208	17
2	2640	17

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

Inputs
(.f64 (/.f64 1 y) (.f64 1/3 (/.f64 t z)))
(*.f64 1/3 (/.f64 t z))

Outputs

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

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

simplify40.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

15×	`associate-/l*_binary64`
10×	`associate-*r/_binary64`
8×	`associate-/r/_binary64`
7×	`associate-*l/_binary64`
6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	360
1	14	360
2	32	360
3	58	360
4	82	360
5	84	360

Stop Event

1×

saturated

Counts

135 → 101

Calls

Call 1

Inputs
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))

Outputs
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 -1/3 (/.f64 z y))

Compiler

Compiled 15 to 8 computations (46.7% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(/.f64 -1/3 (/.f64 z y))
1.0ms	z	@	inf	(/.f64 -1/3 (/.f64 z y))
1.0ms	z	@	-inf	(/.f64 -1/3 (/.f64 z y))
1.0ms	y	@	-inf	(/.f64 -1/3 (/.f64 z y))
0.0ms	y	@	inf	(/.f64 -1/3 (/.f64 z y))

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

699×	`pow1_binary64`
653×	`add-log-exp_binary64`
653×	`log1p-expm1-u_binary64`
653×	`expm1-log1p-u_binary64`
640×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	134	7
2	1771	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(/.f64 -1/3 (/.f64 z y))

Outputs

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

simplify25.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

50 → 26

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))

Outputs
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
	0.3b	(*.f64 -1/3 (/.f64 y z))

Compiler

Compiled 23 to 11 computations (52.2% saved)

series12.0ms (0.1%)

Counts

1 → 9

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
1.0ms	z	@	0	(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
1.0ms	x	@	inf	(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
1.0ms	y	@	0	(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
1.0ms	y	@	inf	(+.f64 (*.f64 -1/3 (/.f64 y z)) x)

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

829×	`prod-diff_binary64`
445×	`log-prod_binary64`
263×	`pow-prod-down_binary64`
241×	`fma-def_binary64`
240×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	178	8
2	2472	8

Stop Event

1×	node limit

Counts

1 → 62

Calls

Call 1

Inputs
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)

Outputs

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

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
1	10	33
2	14	33
3	18	33
4	19	33

Stop Event

1×

saturated

Counts

71 → 64

Calls

Call 1

Inputs
x
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
x
x
(*.f64 -1/3 (/.f64 y z))
x
x

Outputs
x
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
x
x
(*.f64 -1/3 (/.f64 y z))
x
x

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
✓	5.0b	(/.f64 (-.f64 y (/.f64 t y)) z)

Compiler

Compiled 32 to 10 computations (68.8% saved)

series18.0ms (0.1%)

Counts

2 → 48

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/.f64 (-.f64 y (/.f64 t y)) z)
1.0ms	y	@	-inf	(/.f64 (-.f64 y (/.f64 t y)) z)
1.0ms	z	@	0	(/.f64 (-.f64 y (/.f64 t y)) z)
1.0ms	z	@	inf	(/.f64 (-.f64 y (/.f64 t y)) z)
1.0ms	y	@	inf	(/.f64 (-.f64 y (/.f64 t y)) z)

rewrite204.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

750×	`prod-diff_binary64`
575×	`log-prod_binary64`
290×	`pow2_binary64`
232×	`fma-def_binary64`
211×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	207	23
2	3130	23

Stop Event

1×	node limit

Counts

2 → 238

Calls

Call 1

Inputs
(/.f64 (-.f64 y (/.f64 t y)) z)
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))

Outputs

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

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

simplify172.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

838×	`fma-def_binary64`
808×	`fma-neg_binary64`
691×	`div-sub_binary64`
404×	`times-frac_binary64`
315×	`associate-/l/_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	15	648
1	32	630
2	79	630
3	144	630
4	214	630
5	262	630
6	331	630
7	427	612
8	765	612
9	2168	558
10	4973	558
11	6803	558
12	7603	558
13	7805	558
14	7908	558

Stop Event

1×	node limit

Counts

286 → 249

Calls

Call 1

Inputs
(.f64 -1 (/.f64 t (.f64 y z)))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(/.f64 y z)
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(/.f64 y z)
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(/.f64 y z)
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(.f64 -1 (/.f64 t (.f64 y z)))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(.f64 -1 (/.f64 t (.f64 y z)))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(*.f64 -1/3 (/.f64 y z))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(*.f64 -1/3 (/.f64 y z))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(*.f64 -1/3 (/.f64 y z))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(.f64 1/3 (/.f64 t (.f64 y z)))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(.f64 1/3 (/.f64 t (.f64 y z)))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))

Outputs
(.f64 -1 (/.f64 t (.f64 y z)))
(neg.f64 (/.f64 t (*.f64 y z)))
(/.f64 (neg.f64 t) (*.f64 y z))
(/.f64 t (*.f64 z (neg.f64 y)))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
(/.f64 y z)
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
(/.f64 y z)
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
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(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
(/.f64 y z)
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(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
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(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
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(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
(.f64 -1 (/.f64 t (.f64 y z)))
(neg.f64 (/.f64 t (*.f64 y z)))
(/.f64 (neg.f64 t) (*.f64 y z))
(/.f64 t (*.f64 z (neg.f64 y)))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
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(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
(.f64 -1 (/.f64 t (.f64 y z)))
(neg.f64 (/.f64 t (*.f64 y z)))
(/.f64 (neg.f64 t) (*.f64 y z))
(/.f64 t (*.f64 z (neg.f64 y)))
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(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
(+.f64 (.f64 -1 (/.f64 t (.f64 y z))) (/.f64 y z))
(fma.f64 -1 (/.f64 t (*.f64 y z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 t (*.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 (/.f64 t (.f64 y z)) 1/3)
(/.f64 (/.f64 (*.f64 t 1/3) y) z)
(.f64 t (/.f64 1/3 (.f64 y z)))
(*.f64 t (/.f64 (/.f64 1/3 y) z))
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(fma.f64 -1/3 (/.f64 y z) (.f64 (/.f64 t (.f64 y z)) 1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 y z) -1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 -1/3 z) y))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 y (/.f64 -1/3 z)))
(.f64 1/3 (-.f64 (/.f64 t (.f64 y z)) (/.f64 y z)))
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(fma.f64 -1/3 (/.f64 y z) (.f64 (/.f64 t (.f64 y z)) 1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 y z) -1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 -1/3 z) y))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 y (/.f64 -1/3 z)))
(.f64 1/3 (-.f64 (/.f64 t (.f64 y z)) (/.f64 y z)))
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(fma.f64 -1/3 (/.f64 y z) (.f64 (/.f64 t (.f64 y z)) 1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 y z) -1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 -1/3 z) y))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 y (/.f64 -1/3 z)))
(.f64 1/3 (-.f64 (/.f64 t (.f64 y z)) (/.f64 y z)))
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
(*.f64 -1/3 (/.f64 y z))
(*.f64 (/.f64 y z) -1/3)
(*.f64 (/.f64 -1/3 z) y)
(*.f64 y (/.f64 -1/3 z))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(fma.f64 -1/3 (/.f64 y z) (.f64 (/.f64 t (.f64 y z)) 1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 y z) -1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 -1/3 z) y))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 y (/.f64 -1/3 z)))
(.f64 1/3 (-.f64 (/.f64 t (.f64 y z)) (/.f64 y z)))
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(fma.f64 -1/3 (/.f64 y z) (.f64 (/.f64 t (.f64 y z)) 1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 y z) -1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 -1/3 z) y))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 y (/.f64 -1/3 z)))
(.f64 1/3 (-.f64 (/.f64 t (.f64 y z)) (/.f64 y z)))
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(fma.f64 -1/3 (/.f64 y z) (.f64 (/.f64 t (.f64 y z)) 1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 y z) -1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 -1/3 z) y))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 y (/.f64 -1/3 z)))
(.f64 1/3 (-.f64 (/.f64 t (.f64 y z)) (/.f64 y z)))
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
(*.f64 -1/3 (/.f64 y z))
(*.f64 (/.f64 y z) -1/3)
(*.f64 (/.f64 -1/3 z) y)
(*.f64 y (/.f64 -1/3 z))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(fma.f64 -1/3 (/.f64 y z) (.f64 (/.f64 t (.f64 y z)) 1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 y z) -1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 -1/3 z) y))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 y (/.f64 -1/3 z)))
(.f64 1/3 (-.f64 (/.f64 t (.f64 y z)) (/.f64 y z)))
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(fma.f64 -1/3 (/.f64 y z) (.f64 (/.f64 t (.f64 y z)) 1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 y z) -1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 -1/3 z) y))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 y (/.f64 -1/3 z)))
(.f64 1/3 (-.f64 (/.f64 t (.f64 y z)) (/.f64 y z)))
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(fma.f64 -1/3 (/.f64 y z) (.f64 (/.f64 t (.f64 y z)) 1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 y z) -1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 -1/3 z) y))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 y (/.f64 -1/3 z)))
(.f64 1/3 (-.f64 (/.f64 t (.f64 y z)) (/.f64 y z)))
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
(*.f64 -1/3 (/.f64 y z))
(*.f64 (/.f64 y z) -1/3)
(*.f64 (/.f64 -1/3 z) y)
(*.f64 y (/.f64 -1/3 z))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(fma.f64 -1/3 (/.f64 y z) (.f64 (/.f64 t (.f64 y z)) 1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 y z) -1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 -1/3 z) y))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 y (/.f64 -1/3 z)))
(.f64 1/3 (-.f64 (/.f64 t (.f64 y z)) (/.f64 y z)))
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(fma.f64 -1/3 (/.f64 y z) (.f64 (/.f64 t (.f64 y z)) 1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 y z) -1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 -1/3 z) y))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 y (/.f64 -1/3 z)))
(.f64 1/3 (-.f64 (/.f64 t (.f64 y z)) (/.f64 y z)))
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(fma.f64 -1/3 (/.f64 y z) (.f64 (/.f64 t (.f64 y z)) 1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 y z) -1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 -1/3 z) y))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 y (/.f64 -1/3 z)))
(.f64 1/3 (-.f64 (/.f64 t (.f64 y z)) (/.f64 y z)))
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 (/.f64 t (.f64 y z)) 1/3)
(/.f64 (/.f64 (*.f64 t 1/3) y) z)
(.f64 t (/.f64 1/3 (.f64 y z)))
(*.f64 t (/.f64 (/.f64 1/3 y) z))
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(fma.f64 -1/3 (/.f64 y z) (.f64 (/.f64 t (.f64 y z)) 1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 y z) -1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 -1/3 z) y))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 y (/.f64 -1/3 z)))
(.f64 1/3 (-.f64 (/.f64 t (.f64 y z)) (/.f64 y z)))
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(fma.f64 -1/3 (/.f64 y z) (.f64 (/.f64 t (.f64 y z)) 1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 y z) -1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 -1/3 z) y))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 y (/.f64 -1/3 z)))
(.f64 1/3 (-.f64 (/.f64 t (.f64 y z)) (/.f64 y z)))
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(fma.f64 -1/3 (/.f64 y z) (.f64 (/.f64 t (.f64 y z)) 1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 y z) -1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 -1/3 z) y))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 y (/.f64 -1/3 z)))
(.f64 1/3 (-.f64 (/.f64 t (.f64 y z)) (/.f64 y z)))
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 (/.f64 t (.f64 y z)) 1/3)
(/.f64 (/.f64 (*.f64 t 1/3) y) z)
(.f64 t (/.f64 1/3 (.f64 y z)))
(*.f64 t (/.f64 (/.f64 1/3 y) z))
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(fma.f64 -1/3 (/.f64 y z) (.f64 (/.f64 t (.f64 y z)) 1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 y z) -1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 -1/3 z) y))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 y (/.f64 -1/3 z)))
(.f64 1/3 (-.f64 (/.f64 t (.f64 y z)) (/.f64 y z)))
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(fma.f64 -1/3 (/.f64 y z) (.f64 (/.f64 t (.f64 y z)) 1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 y z) -1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 -1/3 z) y))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 y (/.f64 -1/3 z)))
(.f64 1/3 (-.f64 (/.f64 t (.f64 y z)) (/.f64 y z)))
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(fma.f64 -1/3 (/.f64 y z) (.f64 (/.f64 t (.f64 y z)) 1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 y z) -1/3))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 (/.f64 -1/3 z) y))
(fma.f64 (/.f64 t (.f64 y z)) 1/3 (.f64 y (/.f64 -1/3 z)))
(.f64 1/3 (-.f64 (/.f64 t (.f64 y z)) (/.f64 y z)))
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (*.f64 y 3))
✓	4.8b	(.f64 (/.f64 t z) (/.f64 1 (.f64 y 3)))

Compiler

Compiled 29 to 18 computations (37.9% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	t	@	-inf	(.f64 (/.f64 t z) (/.f64 1 (.f64 y 3)))
0.0ms	t	@	0	(.f64 (/.f64 t z) (/.f64 1 (.f64 y 3)))
0.0ms	y	@	inf	(/.f64 1 (*.f64 y 3))
0.0ms	y	@	0	(/.f64 1 (*.f64 y 3))
0.0ms	y	@	-inf	(/.f64 1 (*.f64 y 3))

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`log-prod_binary64`
411×	`exp-prod_binary64`
348×	`pow-prod-down_binary64`
264×	`pow2_binary64`
198×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	213	14
2	2882	14

Stop Event

1×	node limit

Counts

2 → 119

Calls

Call 1

Inputs
(.f64 (/.f64 t z) (/.f64 1 (.f64 y 3)))
(/.f64 1 (*.f64 y 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 t z) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 t z) y)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 t z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 t z) y))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 t z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 t z) (/.f64 1/3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 t (*.f64 (*.f64 z y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 t (/.f64 (*.f64 y 3) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 t (/.f64 (*.f64 (*.f64 z y) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 t (/.f64 z (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 t z) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 z t) (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 y 3) (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y 3) (/.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (*.f64 z y) 3) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 t (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 y) (/.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 t z)) 2) (/.f64 (*.f64 y 3) (cbrt.f64 (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 t z)) (/.f64 (*.f64 y 3) (sqrt.f64 (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 z t) (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (*.f64 y -3) (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 t) (neg.f64 (*.f64 (*.f64 z y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 t) (*.f64 (*.f64 y -3) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 t) (*.f64 (*.f64 y 3) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 y) (*.f64 (/.f64 z t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (/.f64 1/3 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 t z)) (*.f64 y -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 t (/.f64 1/3 y))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 t) 1) (*.f64 (neg.f64 z) (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) 1) (*.f64 3 (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t -1) (*.f64 z (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 t) -1) (*.f64 (neg.f64 z) (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (/.f64 1 y)) (*.f64 z 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 t) (/.f64 1 y)) (*.f64 (neg.f64 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) t) (*.f64 3 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 t)) (*.f64 (*.f64 y -3) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) (neg.f64 t)) (*.f64 3 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 t z) 3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 t z) y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 t z) (sqrt.f64 (*.f64 y 3))) (sqrt.f64 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 t z) 1) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 t z) (cbrt.f64 (*.f64 (*.f64 y y) 9))) (cbrt.f64 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t (/.f64 1/3 y)) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t (/.f64 1/3 y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t (/.f64 1/3 y)) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 t) (/.f64 1/3 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 t z)) (*.f64 y -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) (/.f64 t z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 t z) -1) (*.f64 y -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 t z) (/.f64 1 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/3 y) (neg.f64 t)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 t z) (/.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (/.f64 t z) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 t z) (/.f64 1/3 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 t z) (/.f64 1/3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (/.f64 1/3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 t z) (/.f64 1/3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 z t) -3) (pow.f64 (*.f64 y 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z t) (*.f64 y 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y 3) (/.f64 z t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y 3) (/.f64 t z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 z y) 3) t) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (*.f64 t (/.f64 1/3 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 t z) (/.f64 1/3 y)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 t z) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 t z) (/.f64 1/3 y))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 t z) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 t z) (/.f64 1/3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 t z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 t z) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 t z) (/.f64 1/3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 z t) -3) (pow.f64 (*.f64 y 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 t z) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 t z) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 t z) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 t z) (/.f64 1/3 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 t z) (/.f64 1/3 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 t z) (/.f64 1/3 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 t z) (/.f64 1/3 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 t z) (/.f64 1/3 y))) 1) 1))))))

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

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`associate-/l*_binary64`
10×	`associate-*r/_binary64`
8×	`associate-/r/_binary64`
7×	`associate-*l/_binary64`
6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	408
1	15	408
2	32	408
3	58	408
4	82	408
5	84	408

Stop Event

1×

saturated

Counts

167 → 122

Calls

Call 1

Inputs
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)

Outputs
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 t (/.f64 y (/.f64 1/3 z)))
(/.f64 t (*.f64 y (/.f64 z 1/3)))
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)

eval404.0ms (2%)

Compiler: Compiled 22223 to 11143 computations (49.9% saved)

prune145.0ms (0.7%)

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	796	9	805
Fresh	10	6	16
Picked	1	0	1
Done	2	6	8
Total	809	21	830

Error

Counts

830 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	46.3b	(/.f64 (/.f64 t z) (*.f64 y 3))
✓	17.9b	(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
	42.0b	(/.f64 (*.f64 -1/3 y) z)
▶	50.3b	(/.f64 (*.f64 t (/.f64 1/3 y)) z)
✓	42.0b	(*.f64 -1/3 (/.f64 y z))
	29.3b	(/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y))))
	48.3b	(/.f64 t (.f64 y (.f64 z 3)))
▶	3.4b	(+.f64 (-.f64 x (.f64 (neg.f64 y) (.f64 (/.f64 1 z) -1/3))) (/.f64 t (.f64 (.f64 z 3) y)))
	46.3b	(/.f64 (/.f64 (/.f64 t z) y) 3)
▶	18.0b	(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
▶	25.0b	(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))
	42.0b	(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
	17.9b	(+.f64 (/.f64 1 (/.f64 z (*.f64 -1/3 y))) x)
✓	42.0b	(/.f64 -1/3 (/.f64 z y))
▶	42.0b	(*.f64 (/.f64 -1/3 z) y)
	5.4b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t y) (.f64 z 3)))
	46.3b	(*.f64 (/.f64 t z) (/.f64 1/3 y))
	39.4b	x
✓	3.3b	(+.f64 (-.f64 x (.f64 (neg.f64 y) (/.f64 1 (.f64 z -3)))) (/.f64 t (.f64 (.f64 z 3) y)))
✓	48.3b	(/.f64 t (.f64 z (.f64 y 3)))
✓	29.3b	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))

Compiler

Compiled 430 to 315 computations (26.7% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 z 3) y)
✓	0.2b	(.f64 (neg.f64 y) (.f64 (/.f64 1 z) -1/3))
✓	0.4b	(*.f64 (/.f64 1 z) -1/3)
	6.3b	(/.f64 t (.f64 (.f64 z 3) y))

Compiler

Compiled 72 to 45 computations (37.5% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

731×	`pow1_binary64`
676×	`add-log-exp_binary64`
676×	`log1p-expm1-u_binary64`
676×	`expm1-log1p-u_binary64`
662×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	184	11
2	2226	11

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

Inputs
(*.f64 (/.f64 1 z) -1/3)
(.f64 (neg.f64 y) (.f64 (/.f64 1 z) -1/3))

Outputs

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

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	216
1	11	216
2	15	216
3	19	216
4	20	216

Stop Event

1×

saturated

Counts

69 → 34

Calls

Call 1

Inputs
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))

Outputs
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(/.f64 -1/3 z)
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`pow1_binary64`
574×	`add-log-exp_binary64`
574×	`log1p-expm1-u_binary64`
574×	`expm1-log1p-u_binary64`
563×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1561	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(*.f64 (/.f64 -1/3 z) y)

Outputs

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

45 → 22

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))

Outputs
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 -1/3 (/.f64 y z))

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
	0.6b	(/.f64 -1/3 (/.f64 z y))

Compiler

Compiled 23 to 11 computations (52.2% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
0.0ms	y	@	inf	(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
0.0ms	z	@	inf	(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
0.0ms	y	@	0	(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
0.0ms	x	@	0	(+.f64 (/.f64 -1/3 (/.f64 z y)) x)

rewrite61.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`prod-diff_binary64`
457×	`log-prod_binary64`
269×	`pow-prod-down_binary64`
247×	`pow2_binary64`
234×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	184	8
2	2645	8

Stop Event

1×	node limit

Counts

1 → 60

Calls

Call 1

Inputs
(+.f64 (/.f64 -1/3 (/.f64 z y)) x)

Outputs

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`+-commutative_binary64`
1×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	249
1	13	249
2	18	249
3	22	249
4	24	249
5	25	249

Stop Event

1×

saturated

Counts

96 → 63

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 y z))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
x
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
x
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
x
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(*.f64 -1/3 (/.f64 y z))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(*.f64 -1/3 (/.f64 y z))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(*.f64 -1/3 (/.f64 y z))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
x
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
x
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)

Outputs
(*.f64 -1/3 (/.f64 y z))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)
x
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)
x
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)
x
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)
(*.f64 -1/3 (/.f64 y z))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)
(*.f64 -1/3 (/.f64 y z))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)
(*.f64 -1/3 (/.f64 y z))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)
x
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)
x
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 z) x)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 t (/.f64 1/3 y))
✓	0.4b	(/.f64 1/3 y)
✓	5.6b	(/.f64 (*.f64 t (/.f64 1/3 y)) z)

Compiler

Compiled 23 to 14 computations (39.1% saved)

series7.0ms (0%)

Counts

3 → 60

Calls

18 calls:

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

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

971×	`pow1_binary64`
904×	`add-log-exp_binary64`
904×	`log1p-expm1-u_binary64`
904×	`expm1-log1p-u_binary64`
89×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	175	21
2	2386	21

Stop Event

1×	node limit

Counts

3 → 86

Calls

Call 1

Inputs
(/.f64 (*.f64 t (/.f64 1/3 y)) z)
(/.f64 1/3 y)
(*.f64 t (/.f64 1/3 y))

Outputs

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

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

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

simplify44.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

15×	`associate-/l*_binary64`
8×	`associate-*r/_binary64`
8×	`associate-/r/_binary64`
7×	`*-commutative_binary64`
6×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	528
1	17	528
2	33	528
3	58	528
4	80	528
5	82	528

Stop Event

1×

saturated

Counts

146 → 89

Calls

Call 1

Inputs
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))

Outputs
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))
(*.f64 1/3 (/.f64 t y))

localize27.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))
	0.2b	(.f64 (.f64 z 3) y)
	6.3b	(/.f64 t (.f64 (.f64 z 3) y))

Compiler

Compiled 33 to 19 computations (42.4% saved)

series8.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))
1.0ms	t	@	inf	(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))
1.0ms	t	@	0	(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))
1.0ms	t	@	-inf	(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))
0.0ms	z	@	-inf	(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))

rewrite102.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

807×	`prod-diff_binary64`
604×	`log-prod_binary64`
295×	`pow2_binary64`
228×	`fma-def_binary64`
204×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	217	13
2	3086	13

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

Inputs
(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))

Outputs

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

simplify38.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

15×	`associate-/l*_binary64`
10×	`associate-*r/_binary64`
8×	`associate-/r/_binary64`
8×	`fma-def_binary64`
7×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	453
1	18	453
2	37	453
3	65	453
4	92	453
5	95	453

Stop Event

1×

saturated

Counts

118 → 75

Calls

Call 1

Inputs
(.f64 1/3 (/.f64 t (.f64 y z)))
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
x
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
x
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
x
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(.f64 1/3 (/.f64 t (.f64 y z)))
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(.f64 1/3 (/.f64 t (.f64 y z)))
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(.f64 1/3 (/.f64 t (.f64 y z)))
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
x
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
x
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(.f64 1/3 (/.f64 t (.f64 y z)))
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
x
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
x
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)

Outputs
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 (/.f64 1/3 (/.f64 y t)) z)
(*.f64 t (/.f64 (/.f64 1/3 z) y))
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
x
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
x
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
x
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 (/.f64 1/3 (/.f64 y t)) z)
(*.f64 t (/.f64 (/.f64 1/3 z) y))
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 (/.f64 1/3 (/.f64 y t)) z)
(*.f64 t (/.f64 (/.f64 1/3 z) y))
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 (/.f64 1/3 (/.f64 y t)) z)
(*.f64 t (/.f64 (/.f64 1/3 z) y))
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
x
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
x
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 (/.f64 1/3 (/.f64 y t)) z)
(*.f64 t (/.f64 (/.f64 1/3 z) y))
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
x
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
x
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x)
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x)
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x)
(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)

eval200.0ms (1%)

Compiler: Compiled 6832 to 4181 computations (38.8% saved)

prune88.0ms (0.4%)

Pruning

21 alts after pruning (12 fresh and 9 done)

	Pruned	Kept	Total
New	469	5	474
Fresh	3	7	10
Picked	0	1	1
Done	2	8	10
Total	474	21	495

Error

Counts

495 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	46.3b	(/.f64 (/.f64 t z) (*.f64 y 3))
✓	17.9b	(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
	42.0b	(/.f64 (*.f64 -1/3 y) z)
✓	50.3b	(/.f64 (*.f64 t (/.f64 1/3 y)) z)
	29.3b	(/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y))))
	48.3b	(/.f64 t (.f64 y (.f64 z 3)))
	39.4b	x
✓	48.3b	(/.f64 t (.f64 z (.f64 y 3)))
✓	18.0b	(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
✓	25.0b	(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))
	17.9b	(+.f64 (/.f64 1 (/.f64 z (*.f64 -1/3 y))) x)
✓	42.0b	(/.f64 -1/3 (/.f64 z y))
✓	42.0b	(*.f64 (/.f64 -1/3 z) y)
	5.4b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t y) (.f64 z 3)))
✓	3.3b	(+.f64 (-.f64 x (.f64 (neg.f64 y) (/.f64 1 (.f64 z -3)))) (/.f64 t (.f64 (.f64 z 3) y)))
✓	29.3b	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
	42.0b	(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
	46.3b	(*.f64 (/.f64 t z) (/.f64 1/3 y))
	46.3b	(/.f64 (/.f64 (/.f64 t z) y) 3)
	42.0b	(.f64 (.f64 (/.f64 1 z) -1/3) y)
	41.9b	(/.f64 y (*.f64 z -3))

Compiler

Compiled 244 to 180 computations (26.2% saved)

regimes353.0ms (1.8%)

Counts

50 → 3

Calls

Call 1

Inputs
x
x
x
(/.f64 y (*.f64 z -3))
(*.f64 (/.f64 -1/3 z) y)
(/.f64 -1/3 (/.f64 z y))
(/.f64 (*.f64 -1/3 y) z)
(*.f64 -1/3 (/.f64 y z))
(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(.f64 (.f64 (/.f64 1 z) -1/3) y)
(/.f64 (/.f64 t z) (*.f64 y 3))
(/.f64 (*.f64 t (/.f64 1/3 y)) z)
(/.f64 (/.f64 (/.f64 t z) y) 3)
(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(/.f64 t (.f64 y (.f64 z 3)))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
(/.f64 t (.f64 3 (.f64 y z)))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(/.f64 t (.f64 z (.f64 y 3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y))))
(+.f64 (/.f64 1 (/.f64 z (*.f64 -1/3 y))) x)
(.f64 (/.f64 1 z) (/.f64 t (.f64 y 3)))
(.f64 (/.f64 t z) (/.f64 1 (.f64 y 3)))
(.f64 (/.f64 1 (.f64 z y)) (/.f64 t 3))
(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t y) (.f64 z 3)))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 (.f64 t 1/3) z) y))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 3 (*.f64 y z))))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 (/.f64 1/3 z) y) t))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 y) (*.f64 1/3 (/.f64 t z))))
(+.f64 (-.f64 x (/.f64 -1 (/.f64 (.f64 z -3) y))) (/.f64 t (.f64 (*.f64 z 3) y)))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 y) (*.f64 t (/.f64 1/3 z))))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 z) (/.f64 t (*.f64 3 y))))
(+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
(+.f64 (-.f64 x (.f64 (neg.f64 y) (.f64 (/.f64 1 z) -1/3))) (/.f64 t (.f64 (.f64 z 3) y)))
(+.f64 (-.f64 x (.f64 (neg.f64 y) (/.f64 1 (.f64 z -3)))) (/.f64 t (.f64 (.f64 z 3) y)))
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
(fma.f64 (*.f64 (/.f64 1 z) -1/3) (-.f64 y (/.f64 t y)) x)
(+.f64 (-.f64 x (pow.f64 (.f64 3 (/.f64 z y)) -1)) (/.f64 t (.f64 (*.f64 z 3) y)))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (cbrt.f64 (pow.f64 (.f64 z (*.f64 3 y)) 3))))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (pow.f64 (pow.f64 (.f64 t (/.f64 (/.f64 1/3 z) y)) 3) 1/3))

Outputs

(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))

(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 (/.f64 1 z) (/.f64 t (*.f64 3 y))))

(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (*.f64 t 1/3) z) y))

Calls

7 calls:

77.0ms	(*.f64 z 3)
73.0ms	z
72.0ms	(*.f64 z 3)
33.0ms	y
29.0ms	x

Results

Error	Segments	Branch
1.4b	1	`x`
1.4b	1	`y`
0.4b	3	`z`
1.4b	1	`t`
1.4b	1	`(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))`
0.4b	3	`(*.f64 z 3)`
0.4b	3	`(*.f64 z 3)`

Compiler

Compiled 547 to 322 computations (41.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.3198750081109147e-13	6.8999308466429155e-12
0.0ms	-9.98602334224122e-19	-1.023053612766422e-26

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes285.0ms (1.4%)

Counts

40 → 3

Calls

Call 1

Inputs
x
x
x
(/.f64 y (*.f64 z -3))
(*.f64 (/.f64 -1/3 z) y)
(/.f64 -1/3 (/.f64 z y))
(/.f64 (*.f64 -1/3 y) z)
(*.f64 -1/3 (/.f64 y z))
(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(.f64 (.f64 (/.f64 1 z) -1/3) y)
(/.f64 (/.f64 t z) (*.f64 y 3))
(/.f64 (*.f64 t (/.f64 1/3 y)) z)
(/.f64 (/.f64 (/.f64 t z) y) 3)
(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(/.f64 t (.f64 y (.f64 z 3)))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
(/.f64 t (.f64 3 (.f64 y z)))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(/.f64 t (.f64 z (.f64 y 3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y))))
(+.f64 (/.f64 1 (/.f64 z (*.f64 -1/3 y))) x)
(.f64 (/.f64 1 z) (/.f64 t (.f64 y 3)))
(.f64 (/.f64 t z) (/.f64 1 (.f64 y 3)))
(.f64 (/.f64 1 (.f64 z y)) (/.f64 t 3))
(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t y) (.f64 z 3)))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 (.f64 t 1/3) z) y))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 3 (*.f64 y z))))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 (/.f64 1/3 z) y) t))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 y) (*.f64 1/3 (/.f64 t z))))
(+.f64 (-.f64 x (/.f64 -1 (/.f64 (.f64 z -3) y))) (/.f64 t (.f64 (*.f64 z 3) y)))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 y) (*.f64 t (/.f64 1/3 z))))

Outputs

(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))

(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 t y) (*.f64 z 3)))

(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (*.f64 t 1/3) z) y))

Calls

7 calls:

63.0ms	(*.f64 z 3)
60.0ms	(*.f64 z 3)
60.0ms	z
24.0ms	y
22.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))

Results

Error	Segments	Branch
1.4b	1	`x`
1.4b	1	`y`
0.4b	3	`z`
1.4b	1	`t`
1.4b	1	`(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))`
0.4b	3	`(*.f64 z 3)`
0.4b	3	`(*.f64 z 3)`

Compiler

Compiled 395 to 232 computations (41.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.3198750081109147e-13	6.8999308466429155e-12
0.0ms	-9.98602334224122e-19	-1.023053612766422e-26

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes236.0ms (1.2%)

Counts

36 → 3

Calls

Call 1

Inputs
x
x
x
(/.f64 y (*.f64 z -3))
(*.f64 (/.f64 -1/3 z) y)
(/.f64 -1/3 (/.f64 z y))
(/.f64 (*.f64 -1/3 y) z)
(*.f64 -1/3 (/.f64 y z))
(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(.f64 (.f64 (/.f64 1 z) -1/3) y)
(/.f64 (/.f64 t z) (*.f64 y 3))
(/.f64 (*.f64 t (/.f64 1/3 y)) z)
(/.f64 (/.f64 (/.f64 t z) y) 3)
(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(/.f64 t (.f64 y (.f64 z 3)))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
(/.f64 t (.f64 3 (.f64 y z)))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(/.f64 t (.f64 z (.f64 y 3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y))))
(+.f64 (/.f64 1 (/.f64 z (*.f64 -1/3 y))) x)
(.f64 (/.f64 1 z) (/.f64 t (.f64 y 3)))
(.f64 (/.f64 t z) (/.f64 1 (.f64 y 3)))
(.f64 (/.f64 1 (.f64 z y)) (/.f64 t 3))
(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t y) (.f64 z 3)))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 (.f64 t 1/3) z) y))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 3 (*.f64 y z))))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 (/.f64 1/3 z) y) t))

Outputs

(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 (/.f64 (/.f64 1/3 z) y) t))

(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 t y) (*.f64 z 3)))

(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (*.f64 t 1/3) z) y))

Calls

6 calls:

55.0ms	(*.f64 z 3)
55.0ms	(*.f64 z 3)
53.0ms	z
21.0ms	y
21.0ms	x

Results

Error	Segments	Branch
1.4b	1	`x`
1.4b	1	`y`
0.4b	3	`z`
1.4b	1	`t`
0.4b	3	`(*.f64 z 3)`
0.4b	3	`(*.f64 z 3)`

Compiler

Compiled 310 to 178 computations (42.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.3198750081109147e-13	6.8999308466429155e-12
0.0ms	-2.676871565581815e+49	-1.4891869972445957e+49

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes131.0ms (0.7%)

Counts

35 → 1

Calls

Call 1

Inputs
x
x
x
(/.f64 y (*.f64 z -3))
(*.f64 (/.f64 -1/3 z) y)
(/.f64 -1/3 (/.f64 z y))
(/.f64 (*.f64 -1/3 y) z)
(*.f64 -1/3 (/.f64 y z))
(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(.f64 (.f64 (/.f64 1 z) -1/3) y)
(/.f64 (/.f64 t z) (*.f64 y 3))
(/.f64 (*.f64 t (/.f64 1/3 y)) z)
(/.f64 (/.f64 (/.f64 t z) y) 3)
(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(/.f64 t (.f64 y (.f64 z 3)))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
(/.f64 t (.f64 3 (.f64 y z)))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(/.f64 t (.f64 z (.f64 y 3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y))))
(+.f64 (/.f64 1 (/.f64 z (*.f64 -1/3 y))) x)
(.f64 (/.f64 1 z) (/.f64 t (.f64 y 3)))
(.f64 (/.f64 t z) (/.f64 1 (.f64 y 3)))
(.f64 (/.f64 1 (.f64 z y)) (/.f64 t 3))
(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t y) (.f64 z 3)))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 (.f64 t 1/3) z) y))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 3 (*.f64 y z))))

Outputs
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 (.f64 t 1/3) z) y))

Calls

6 calls:

21.0ms	(*.f64 z 3)
21.0ms	(*.f64 z 3)
20.0ms	z
20.0ms	y
20.0ms	t

Results

Error	Segments	Branch
1.4b	1	`x`
1.4b	1	`y`
1.4b	1	`z`
1.4b	1	`t`
1.4b	1	`(*.f64 z 3)`
1.4b	1	`(*.f64 z 3)`

Compiler

Compiled 295 to 169 computations (42.7% saved)

regimes155.0ms (0.8%)

Counts

33 → 3

Calls

Call 1

Inputs
x
x
x
(/.f64 y (*.f64 z -3))
(*.f64 (/.f64 -1/3 z) y)
(/.f64 -1/3 (/.f64 z y))
(/.f64 (*.f64 -1/3 y) z)
(*.f64 -1/3 (/.f64 y z))
(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(.f64 (.f64 (/.f64 1 z) -1/3) y)
(/.f64 (/.f64 t z) (*.f64 y 3))
(/.f64 (*.f64 t (/.f64 1/3 y)) z)
(/.f64 (/.f64 (/.f64 t z) y) 3)
(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(/.f64 t (.f64 y (.f64 z 3)))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
(/.f64 t (.f64 3 (.f64 y z)))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(/.f64 t (.f64 z (.f64 y 3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y))))
(+.f64 (/.f64 1 (/.f64 z (*.f64 -1/3 y))) x)
(.f64 (/.f64 1 z) (/.f64 t (.f64 y 3)))
(.f64 (/.f64 t z) (/.f64 1 (.f64 y 3)))
(.f64 (/.f64 1 (.f64 z y)) (/.f64 t 3))
(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t y) (.f64 z 3)))

Outputs
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t y) (.f64 z 3)))
(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t y) (.f64 z 3)))

Calls

5 calls:

49.0ms	y
35.0ms	t
21.0ms	(*.f64 z 3)
20.0ms	x
20.0ms	z

Results

Error	Segments	Branch
5.4b	1	`x`
2.7b	3	`y`
5.4b	1	`z`
4.1b	2	`t`
5.4b	1	`(*.f64 z 3)`

Compiler

Compiled 258 to 146 computations (43.4% saved)

bsearch33.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	4.239577346464483e-225	2.6184277324537432e-194
24.0ms	-1.63207071240834e-77	-6.724843734612566e-78

Compiler

Compiled 60 to 43 computations (28.3% saved)

regimes1.6s (7.9%)

Counts

32 → 5

Calls

Call 1

Inputs
x
x
x
(/.f64 y (*.f64 z -3))
(*.f64 (/.f64 -1/3 z) y)
(/.f64 -1/3 (/.f64 z y))
(/.f64 (*.f64 -1/3 y) z)
(*.f64 -1/3 (/.f64 y z))
(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(.f64 (.f64 (/.f64 1 z) -1/3) y)
(/.f64 (/.f64 t z) (*.f64 y 3))
(/.f64 (*.f64 t (/.f64 1/3 y)) z)
(/.f64 (/.f64 (/.f64 t z) y) 3)
(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(/.f64 t (.f64 y (.f64 z 3)))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
(/.f64 t (.f64 3 (.f64 y z)))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(/.f64 t (.f64 z (.f64 y 3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y))))
(+.f64 (/.f64 1 (/.f64 z (*.f64 -1/3 y))) x)
(.f64 (/.f64 1 z) (/.f64 t (.f64 y 3)))
(.f64 (/.f64 t z) (/.f64 1 (.f64 y 3)))
(.f64 (/.f64 1 (.f64 z y)) (/.f64 t 3))
(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))

Outputs
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))
(+.f64 (/.f64 1 (/.f64 z (*.f64 -1/3 y))) x)

Calls

6 calls:

669.0ms	z
281.0ms	(*.f64 z 3)
208.0ms	t
194.0ms	y
126.0ms	(*.f64 z 3)

Results

Error	Segments	Branch
9.6b	4	`x`
5.6b	5	`y`
9.7b	8	`z`
13.1b	3	`t`
9.7b	8	`(*.f64 z 3)`
9.7b	8	`(*.f64 z 3)`

Compiler

Compiled 250 to 144 computations (42.4% saved)

bsearch145.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	9.201440716915238e+40	5.5569518899948505e+57
25.0ms	3291.832730261774	66106178251.54736
29.0ms	5.5994902908308476e-61	1.0384609240765286e-57
68.0ms	-1.9130439560080355e-23	-1.9925285399219618e-26

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes1.3s (6.4%)

Counts

31 → 5

Calls

Call 1

Inputs
x
x
x
(/.f64 y (*.f64 z -3))
(*.f64 (/.f64 -1/3 z) y)
(/.f64 -1/3 (/.f64 z y))
(/.f64 (*.f64 -1/3 y) z)
(*.f64 -1/3 (/.f64 y z))
(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(.f64 (.f64 (/.f64 1 z) -1/3) y)
(/.f64 (/.f64 t z) (*.f64 y 3))
(/.f64 (*.f64 t (/.f64 1/3 y)) z)
(/.f64 (/.f64 (/.f64 t z) y) 3)
(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(/.f64 t (.f64 y (.f64 z 3)))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
(/.f64 t (.f64 3 (.f64 y z)))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(/.f64 t (.f64 z (.f64 y 3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y))))
(+.f64 (/.f64 1 (/.f64 z (*.f64 -1/3 y))) x)
(.f64 (/.f64 1 z) (/.f64 t (.f64 y 3)))
(.f64 (/.f64 t z) (/.f64 1 (.f64 y 3)))
(.f64 (/.f64 1 (.f64 z y)) (/.f64 t 3))
(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))

Outputs
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))
(/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y))))
(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))
(+.f64 (/.f64 1 (/.f64 z (*.f64 -1/3 y))) x)

Calls

6 calls:

259.0ms	z
239.0ms	(*.f64 z 3)
155.0ms	x
129.0ms	(*.f64 z 3)
127.0ms	y

Results

Error	Segments	Branch
9.6b	4	`x`
5.6b	5	`y`
9.8b	8	`z`
13.1b	3	`t`
9.8b	8	`(*.f64 z 3)`
9.8b	8	`(*.f64 z 3)`

Compiler

Compiled 241 to 141 computations (41.5% saved)

bsearch279.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
46.0ms	9.201440716915238e+40	5.5569518899948505e+57
89.0ms	3291.832730261774	66106178251.54736
95.0ms	1.0384609240765286e-57	7.9784530030747895e-56
48.0ms	-1.9130439560080355e-23	-1.9925285399219618e-26

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes1.5s (7.6%)

Counts

29 → 3

Calls

Call 1

Inputs
x
x
x
(/.f64 y (*.f64 z -3))
(*.f64 (/.f64 -1/3 z) y)
(/.f64 -1/3 (/.f64 z y))
(/.f64 (*.f64 -1/3 y) z)
(*.f64 -1/3 (/.f64 y z))
(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(.f64 (.f64 (/.f64 1 z) -1/3) y)
(/.f64 (/.f64 t z) (*.f64 y 3))
(/.f64 (*.f64 t (/.f64 1/3 y)) z)
(/.f64 (/.f64 (/.f64 t z) y) 3)
(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(/.f64 t (.f64 y (.f64 z 3)))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
(/.f64 t (.f64 3 (.f64 y z)))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(/.f64 t (.f64 z (.f64 y 3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y))))
(+.f64 (/.f64 1 (/.f64 z (*.f64 -1/3 y))) x)
(.f64 (/.f64 1 z) (/.f64 t (.f64 y 3)))
(.f64 (/.f64 t z) (/.f64 1 (.f64 y 3)))
(.f64 (/.f64 1 (.f64 z y)) (/.f64 t 3))

Outputs
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y))))
(+.f64 (/.f64 1 (/.f64 z (*.f64 -1/3 y))) x)

Calls

6 calls:

401.0ms	(*.f64 z 3)
364.0ms	z
229.0ms	(*.f64 z 3)
184.0ms	x
175.0ms	t

Results

Error	Segments	Branch
11.1b	3	`x`
12.9b	5	`y`
11.8b	7	`z`
15.5b	4	`t`
11.8b	7	`(*.f64 z 3)`
11.8b	7	`(*.f64 z 3)`

Compiler

Compiled 223 to 133 computations (40.4% saved)

bsearch132.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
47.0ms	2.53443350160369e-44	1.3025122120307507e-41
85.0ms	-0.004691301708411824	-9.950887081600215e-14

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes651.0ms (3.3%)

Counts

25 → 3

Calls

Call 1

Inputs
x
x
x
(/.f64 y (*.f64 z -3))
(*.f64 (/.f64 -1/3 z) y)
(/.f64 -1/3 (/.f64 z y))
(/.f64 (*.f64 -1/3 y) z)
(*.f64 -1/3 (/.f64 y z))
(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(.f64 (.f64 (/.f64 1 z) -1/3) y)
(/.f64 (/.f64 t z) (*.f64 y 3))
(/.f64 (*.f64 t (/.f64 1/3 y)) z)
(/.f64 (/.f64 (/.f64 t z) y) 3)
(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(/.f64 t (.f64 y (.f64 z 3)))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
(/.f64 t (.f64 3 (.f64 y z)))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(/.f64 t (.f64 z (.f64 y 3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y))))

Outputs
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y))))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)

Calls

6 calls:

168.0ms	(*.f64 z 3)
154.0ms	x
110.0ms	z
90.0ms	(*.f64 z 3)
64.0ms	y

Results

Error	Segments	Branch
11.1b	3	`x`
12.9b	5	`y`
11.8b	7	`z`
15.5b	4	`t`
11.8b	7	`(*.f64 z 3)`
11.8b	7	`(*.f64 z 3)`

Compiler

Compiled 187 to 110 computations (41.2% saved)

bsearch62.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	2.53443350160369e-44	1.3025122120307507e-41
26.0ms	-0.004691301708411824	-9.950887081600215e-14

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes641.0ms (3.2%)

Counts

24 → 5

Calls

Call 1

Inputs
x
x
x
(/.f64 y (*.f64 z -3))
(*.f64 (/.f64 -1/3 z) y)
(/.f64 -1/3 (/.f64 z y))
(/.f64 (*.f64 -1/3 y) z)
(*.f64 -1/3 (/.f64 y z))
(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(.f64 (.f64 (/.f64 1 z) -1/3) y)
(/.f64 (/.f64 t z) (*.f64 y 3))
(/.f64 (*.f64 t (/.f64 1/3 y)) z)
(/.f64 (/.f64 (/.f64 t z) y) 3)
(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(/.f64 t (.f64 y (.f64 z 3)))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
(/.f64 t (.f64 3 (.f64 y z)))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(/.f64 t (.f64 z (.f64 y 3)))
(.f64 1/3 (/.f64 t (.f64 y z)))

Outputs
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(*.f64 (/.f64 t z) (/.f64 1/3 y))
x
(/.f64 (/.f64 (/.f64 t z) y) 3)
(+.f64 (/.f64 -1/3 (/.f64 z y)) x)

Calls

6 calls:

202.0ms	y
173.0ms	x
109.0ms	z
69.0ms	t
39.0ms	(*.f64 z 3)

Results

Error	Segments	Branch
15.1b	5	`x`
12.9b	5	`y`
16.5b	3	`z`
15.1b	5	`t`
16.5b	3	`(*.f64 z 3)`
16.5b	3	`(*.f64 z 3)`

Compiler

Compiled 178 to 106 computations (40.4% saved)

bsearch831.0ms (4.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
344.0ms	1.3069383539307985e-148	7.580936612302835e-147
148.0ms	-1.9724698754012547e-213	-4.952713454366315e-221
290.0ms	-7.154103176988622e-146	-2.480979818984034e-154
48.0ms	-1.800621096348438e-80	-4.4962304467149855e-82

Compiler

Compiled 518 to 397 computations (23.4% saved)

regimes711.0ms (3.6%)

Counts

21 → 5

Calls

Call 1

Inputs
x
x
x
(/.f64 y (*.f64 z -3))
(*.f64 (/.f64 -1/3 z) y)
(/.f64 -1/3 (/.f64 z y))
(/.f64 (*.f64 -1/3 y) z)
(*.f64 -1/3 (/.f64 y z))
(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(.f64 (.f64 (/.f64 1 z) -1/3) y)
(/.f64 (/.f64 t z) (*.f64 y 3))
(/.f64 (*.f64 t (/.f64 1/3 y)) z)
(/.f64 (/.f64 (/.f64 t z) y) 3)
(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(/.f64 t (.f64 y (.f64 z 3)))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
(/.f64 t (.f64 3 (.f64 y z)))

Outputs
(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
(*.f64 (/.f64 t z) (/.f64 1/3 y))
x
(/.f64 (/.f64 (/.f64 t z) y) 3)
(+.f64 (/.f64 -1/3 (/.f64 z y)) x)

Calls

6 calls:

193.0ms	y
121.0ms	(*.f64 z 3)
106.0ms	t
106.0ms	(*.f64 z 3)
97.0ms	x

Results

Error	Segments	Branch
15.1b	5	`x`
13.0b	5	`y`
16.6b	3	`z`
16.6b	3	`t`
16.6b	3	`(*.f64 z 3)`
16.6b	3	`(*.f64 z 3)`

Compiler

Compiled 157 to 97 computations (38.2% saved)

bsearch556.0ms (2.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
221.0ms	1.3069383539307985e-148	7.580936612302835e-147
125.0ms	-1.9724698754012547e-213	-4.952713454366315e-221
185.0ms	-7.154103176988622e-146	-2.480979818984034e-154
24.0ms	-1.800621096348438e-80	-4.4962304467149855e-82

Compiler

Compiled 518 to 397 computations (23.4% saved)

regimes602.0ms (3%)

Counts

14 → 6

Calls

Call 1

Inputs
x
x
x
(/.f64 y (*.f64 z -3))
(*.f64 (/.f64 -1/3 z) y)
(/.f64 -1/3 (/.f64 z y))
(/.f64 (*.f64 -1/3 y) z)
(*.f64 -1/3 (/.f64 y z))
(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(.f64 (.f64 (/.f64 1 z) -1/3) y)
(/.f64 (/.f64 t z) (*.f64 y 3))
(/.f64 (*.f64 t (/.f64 1/3 y)) z)
(/.f64 (/.f64 (/.f64 t z) y) 3)

Outputs
x
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(/.f64 y (*.f64 z -3))
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(/.f64 y (*.f64 z -3))
x

Calls

4 calls:

187.0ms	z
181.0ms	y
152.0ms	x
77.0ms	t

Results

Error	Segments	Branch
22.8b	6	`x`
25.0b	8	`y`
27.3b	9	`z`
30.2b	9	`t`

Compiler

Compiled 94 to 59 computations (37.2% saved)

bsearch378.0ms (1.9%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
45.0ms	19.72395639979516	651929.0753583094
44.0ms	1.7975417652463077e-271	2.4706658594521576e-259
46.0ms	-4.337159555487898e-292	-1.8235430719605365e-293
45.0ms	-4.179641626625153e-91	-3.3239782338167957e-104
199.0ms	-47.19925751736354	-14.643991231514299

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes263.0ms (1.3%)

Counts

9 → 3

Calls

Call 1

Inputs
x
x
x
(/.f64 y (*.f64 z -3))
(*.f64 (/.f64 -1/3 z) y)
(/.f64 -1/3 (/.f64 z y))
(/.f64 (*.f64 -1/3 y) z)
(*.f64 -1/3 (/.f64 y z))
(/.f64 1 (/.f64 z (*.f64 -1/3 y)))

Outputs
x
(/.f64 y (*.f64 z -3))
x

Calls

4 calls:

99.0ms	t
57.0ms	y
57.0ms	z
46.0ms	x

Results

Error	Segments	Branch
26.1b	3	`x`
29.3b	5	`y`
30.0b	5	`z`
32.8b	8	`t`

Compiler

Compiled 59 to 40 computations (32.2% saved)

bsearch98.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
51.0ms	19.72395639979516	651929.0753583094
46.0ms	-4.0982218594646872e-84	-1.264127828430294e-84

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes38.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
x
x
x

Outputs
x

Calls

4 calls:

10.0ms	z
9.0ms	y
8.0ms	x
8.0ms	t

Results

Error	Segments	Branch
39.4b	1	`x`
39.4b	1	`y`
39.4b	1	`z`
39.4b	1	`t`

Compiler

Compiled 27 to 20 computations (25.9% saved)

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

15×	`+-commutative_binary64`
15×	`*-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	829
1	155	829
2	166	829
3	174	829
4	180	829
5	182	829

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 z 3) -1298074214633707/2596148429267413814265248164610048) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (.f64 z 3) y))) (if (<=.f64 (.f64 z 3) 4951760157141521/9903520314283042199192993792) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 z) (/.f64 t (.f64 3 y)))) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 (.f64 t 1/3) z) y))))
(if (<=.f64 (.f64 z 3) -1298074214633707/2596148429267413814265248164610048) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (.f64 z 3) y))) (if (<=.f64 (.f64 z 3) 4951760157141521/9903520314283042199192993792) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t y) (.f64 z 3))) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 (*.f64 t 1/3) z) y))))
(if (<=.f64 (.f64 z 3) -19999999999999998929805538950963586393744829579264) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 (/.f64 1/3 z) y) t)) (if (<=.f64 (.f64 z 3) 4951760157141521/9903520314283042199192993792) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t y) (.f64 z 3))) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 (.f64 t 1/3) z) y))))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 (.f64 t 1/3) z) y))
(if (<=.f64 y -4255471049084983/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t y) (.f64 z 3))) (if (<=.f64 y 1723641332219371/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768) (+.f64 x (/.f64 t (.f64 (.f64 z 3) y))) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t y) (.f64 z 3)))))
(if (<=.f64 y -1627437813435525/85070591730234615865843651857942052864) (+.f64 (.f64 -1/3 (/.f64 y z)) x) (if (<=.f64 y 8104708492992139/14474011154664524427946373126085988481658748083205070504932198000989141204992) (+.f64 x (/.f64 t (.f64 (.f64 z 3) y))) (if (<=.f64 y 7238816727232875/2199023255552) (.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z)) (if (<=.f64 y 92014407169152381376864983596505464045568) (+.f64 x (/.f64 t (.f64 (.f64 z 3) y))) (+.f64 (/.f64 1 (/.f64 z (*.f64 -1/3 y))) x)))))
(if (<=.f64 y -1627437813435525/85070591730234615865843651857942052864) (+.f64 (.f64 -1/3 (/.f64 y z)) x) (if (<=.f64 y 7339206542366653/7067388259113537318333190002971674063309935587502475832486424805170479104) (+.f64 x (/.f64 t (.f64 (.f64 z 3) y))) (if (<=.f64 y 7238816727232875/2199023255552) (/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y)))) (if (<=.f64 y 92014407169152381376864983596505464045568) (+.f64 x (/.f64 t (.f64 (.f64 z 3) y))) (+.f64 (/.f64 1 (/.f64 z (.f64 -1/3 y))) x)))))
(if (<=.f64 x -338043914014177/72057594037927936) (+.f64 (.f64 -1/3 (/.f64 y z)) x) (if (<=.f64 x 5090847017964373/200867255532373784442745261542645325315275374222849104412672) (/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y)))) (+.f64 (/.f64 1 (/.f64 z (.f64 -1/3 y))) x)))
(if (<=.f64 x -338043914014177/72057594037927936) (+.f64 (.f64 -1/3 (/.f64 y z)) x) (if (<=.f64 x 5090847017964373/200867255532373784442745261542645325315275374222849104412672) (/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y)))) (+.f64 (.f64 -1/3 (/.f64 y z)) x)))
(if (<=.f64 y -4807629148007449/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) (+.f64 (.f64 -1/3 (/.f64 y z)) x) (if (<=.f64 y -3936549570225297/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184) (.f64 (/.f64 t z) (/.f64 1/3 y)) (if (<=.f64 y -5087291284850963/101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411689167650816) x (if (<=.f64 y 7601364747260185/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (/.f64 (/.f64 (/.f64 t z) y) 3) (+.f64 (/.f64 -1/3 (/.f64 z y)) x)))))
(if (<=.f64 y -4807629148007449/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) (+.f64 (/.f64 -1/3 (/.f64 z y)) x) (if (<=.f64 y -3936549570225297/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184) (*.f64 (/.f64 t z) (/.f64 1/3 y)) (if (<=.f64 y -5087291284850963/101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411689167650816) x (if (<=.f64 y 7601364747260185/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (/.f64 (/.f64 (/.f64 t z) y) 3) (+.f64 (/.f64 -1/3 (/.f64 z y)) x)))))
(if (<=.f64 x -6642704955230079/140737488355328) x (if (<=.f64 x -119825028574991/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328) (.f64 (/.f64 t z) (/.f64 1/3 y)) (if (<=.f64 x -2436525611782215/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288) (/.f64 y (.f64 z -3)) (if (<=.f64 x 6842815996457629/38067632857031246407630399952637454339360261162480498151827759598488080823306351962756308851101602575098847329028940110091637382285949586119445262876221302420044053515454972772932772091758022063878123412028196792475334366896073730256821732872925646925108354699626084168288392929655914496) (.f64 (/.f64 t z) (/.f64 1/3 y)) (if (<=.f64 x 5551800168274337/281474976710656) (/.f64 y (.f64 z -3)) x)))))
(if (<=.f64 x -1120479841554465/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) x (if (<=.f64 x 5551800168274337/281474976710656) (/.f64 y (*.f64 z -3)) x))
x

Outputs
(if (<=.f64 (.f64 z 3) -1298074214633707/2596148429267413814265248164610048) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (.f64 z 3) y))) (if (<=.f64 (.f64 z 3) 4951760157141521/9903520314283042199192993792) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 z) (/.f64 t (.f64 3 y)))) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 (.f64 t 1/3) z) y))))
(if (<=.f64 (.f64 z 3) -1298074214633707/2596148429267413814265248164610048) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (.f64 z 3) y))) (if (<=.f64 (.f64 z 3) 4951760157141521/9903520314283042199192993792) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t y) (.f64 z 3))) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 (*.f64 t 1/3) z) y))))
(if (<=.f64 (.f64 z 3) -19999999999999998929805538950963586393744829579264) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 (/.f64 1/3 z) y) t)) (if (<=.f64 (.f64 z 3) 4951760157141521/9903520314283042199192993792) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t y) (.f64 z 3))) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 (.f64 t 1/3) z) y))))
(if (<=.f64 (.f64 z 3) -19999999999999998929805538950963586393744829579264) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 t (/.f64 (/.f64 1/3 z) y))) (if (<=.f64 (.f64 z 3) 4951760157141521/9903520314283042199192993792) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t y) (.f64 z 3))) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 (.f64 t 1/3) z) y))))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 (.f64 t 1/3) z) y))
(if (<=.f64 y -4255471049084983/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t y) (.f64 z 3))) (if (<=.f64 y 1723641332219371/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768) (+.f64 x (/.f64 t (.f64 (.f64 z 3) y))) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t y) (.f64 z 3)))))
(if (<=.f64 y -1627437813435525/85070591730234615865843651857942052864) (+.f64 (.f64 -1/3 (/.f64 y z)) x) (if (<=.f64 y 8104708492992139/14474011154664524427946373126085988481658748083205070504932198000989141204992) (+.f64 x (/.f64 t (.f64 (.f64 z 3) y))) (if (<=.f64 y 7238816727232875/2199023255552) (.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z)) (if (<=.f64 y 92014407169152381376864983596505464045568) (+.f64 x (/.f64 t (.f64 (.f64 z 3) y))) (+.f64 (/.f64 1 (/.f64 z (*.f64 -1/3 y))) x)))))
(if (<=.f64 y -1627437813435525/85070591730234615865843651857942052864) (+.f64 x (.f64 -1/3 (/.f64 y z))) (if (<=.f64 y 8104708492992139/14474011154664524427946373126085988481658748083205070504932198000989141204992) (+.f64 x (/.f64 t (.f64 (.f64 z 3) y))) (if (<=.f64 y 7238816727232875/2199023255552) (.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z)) (if (<=.f64 y 92014407169152381376864983596505464045568) (+.f64 x (/.f64 t (.f64 (.f64 z 3) y))) (+.f64 x (/.f64 1 (/.f64 z (*.f64 y -1/3))))))))
(if (<=.f64 y -1627437813435525/85070591730234615865843651857942052864) (+.f64 (.f64 -1/3 (/.f64 y z)) x) (if (<=.f64 y 7339206542366653/7067388259113537318333190002971674063309935587502475832486424805170479104) (+.f64 x (/.f64 t (.f64 (.f64 z 3) y))) (if (<=.f64 y 7238816727232875/2199023255552) (/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y)))) (if (<=.f64 y 92014407169152381376864983596505464045568) (+.f64 x (/.f64 t (.f64 (.f64 z 3) y))) (+.f64 (/.f64 1 (/.f64 z (.f64 -1/3 y))) x)))))
(if (<=.f64 y -1627437813435525/85070591730234615865843651857942052864) (+.f64 x (.f64 -1/3 (/.f64 y z))) (if (<=.f64 y 7339206542366653/7067388259113537318333190002971674063309935587502475832486424805170479104) (+.f64 x (/.f64 t (.f64 (.f64 z 3) y))) (if (<=.f64 y 7238816727232875/2199023255552) (/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y)))) (if (<=.f64 y 92014407169152381376864983596505464045568) (+.f64 x (/.f64 t (.f64 (.f64 z 3) y))) (+.f64 x (/.f64 1 (/.f64 z (.f64 y -1/3))))))))
(if (<=.f64 x -338043914014177/72057594037927936) (+.f64 (.f64 -1/3 (/.f64 y z)) x) (if (<=.f64 x 5090847017964373/200867255532373784442745261542645325315275374222849104412672) (/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y)))) (+.f64 (/.f64 1 (/.f64 z (.f64 -1/3 y))) x)))
(if (<=.f64 x -338043914014177/72057594037927936) (+.f64 x (.f64 -1/3 (/.f64 y z))) (if (<=.f64 x 5090847017964373/200867255532373784442745261542645325315275374222849104412672) (/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y)))) (+.f64 x (/.f64 1 (/.f64 z (.f64 y -1/3))))))
(if (<=.f64 x -338043914014177/72057594037927936) (+.f64 (.f64 -1/3 (/.f64 y z)) x) (if (<=.f64 x 5090847017964373/200867255532373784442745261542645325315275374222849104412672) (/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y)))) (+.f64 (.f64 -1/3 (/.f64 y z)) x)))
(if (<=.f64 x -338043914014177/72057594037927936) (+.f64 x (.f64 -1/3 (/.f64 y z))) (if (<=.f64 x 5090847017964373/200867255532373784442745261542645325315275374222849104412672) (/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y)))) (+.f64 x (.f64 -1/3 (/.f64 y z)))))
(if (<=.f64 y -4807629148007449/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) (+.f64 (.f64 -1/3 (/.f64 y z)) x) (if (<=.f64 y -3936549570225297/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184) (.f64 (/.f64 t z) (/.f64 1/3 y)) (if (<=.f64 y -5087291284850963/101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411689167650816) x (if (<=.f64 y 7601364747260185/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (/.f64 (/.f64 (/.f64 t z) y) 3) (+.f64 (/.f64 -1/3 (/.f64 z y)) x)))))
(if (<=.f64 y -4807629148007449/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) (+.f64 x (.f64 -1/3 (/.f64 y z))) (if (<=.f64 y -3936549570225297/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184) (.f64 (/.f64 t z) (/.f64 1/3 y)) (if (<=.f64 y -5087291284850963/101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411689167650816) x (if (<=.f64 y 7601364747260185/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (/.f64 (/.f64 (/.f64 t z) y) 3) (+.f64 x (/.f64 -1/3 (/.f64 z y)))))))
(if (<=.f64 y -4807629148007449/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) (+.f64 (/.f64 -1/3 (/.f64 z y)) x) (if (<=.f64 y -3936549570225297/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184) (*.f64 (/.f64 t z) (/.f64 1/3 y)) (if (<=.f64 y -5087291284850963/101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411689167650816) x (if (<=.f64 y 7601364747260185/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (/.f64 (/.f64 (/.f64 t z) y) 3) (+.f64 (/.f64 -1/3 (/.f64 z y)) x)))))
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(if (<=.f64 x -6642704955230079/140737488355328) x (if (<=.f64 x -119825028574991/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328) (.f64 (/.f64 t z) (/.f64 1/3 y)) (if (<=.f64 x -2436525611782215/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288) (/.f64 y (.f64 z -3)) (if (<=.f64 x 6842815996457629/38067632857031246407630399952637454339360261162480498151827759598488080823306351962756308851101602575098847329028940110091637382285949586119445262876221302420044053515454972772932772091758022063878123412028196792475334366896073730256821732872925646925108354699626084168288392929655914496) (.f64 (/.f64 t z) (/.f64 1/3 y)) (if (<=.f64 x 5551800168274337/281474976710656) (/.f64 y (.f64 z -3)) x)))))
(if (<=.f64 x -1120479841554465/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) x (if (<=.f64 x 5551800168274337/281474976710656) (/.f64 y (*.f64 z -3)) x))
x

Compiler

Compiled 625 to 409 computations (34.6% saved)

soundness0.0ms (0%)

end280.0ms (1.4%)

Compiler: Compiled 573 to 338 computations (41% saved)