Details

analyze660.0ms (6.3%)

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)

sample2.4s (22.8%)

Results

1.8s	8256×	body	256	valid
566.0ms	3274×	body	256	infinite

Bogosity

preprocess83.0ms (0.8%)

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)

simplify113.0ms (1.1%)

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)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.2b	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
▶	2.8b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))

Compiler

Compiled 33 to 22 computations (33.3% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 y (*.f64 z 3)))
✓	0.2b	(.f64 (.f64 z 3) y)
✓	0.4b	(/.f64 y (*.f64 z 3))
✓	6.0b	(/.f64 t (.f64 (.f64 z 3) y))

Compiler

Compiled 51 to 30 computations (41.2% saved)

series24.0ms (0.2%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	t	@	0	(/.f64 t (.f64 (.f64 z 3) y))
2.0ms	y	@	inf	(.f64 (.f64 z 3) y)
2.0ms	z	@	0	(/.f64 y (*.f64 z 3))
2.0ms	t	@	inf	(/.f64 t (.f64 (.f64 z 3) y))
2.0ms	y	@	0	(/.f64 t (.f64 (.f64 z 3) y))

rewrite124.0ms (1.2%)

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 y (*.f64 z 3))
(.f64 (.f64 z 3) y)
(-.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 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x (.f64 y (/.f64 1/3 z)))) (sqrt.f64 (-.f64 x (.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 (sqrt.f64 (-.f64 x (.f64 y (/.f64 1/3 z)))) (sqrt.f64 (-.f64 x (.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 (sqrt.f64 (.f64 y (/.f64 1/3 z))) (neg.f64 (sqrt.f64 (.f64 y (/.f64 1/3 z)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (neg.f64 y) (/.f64 1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 (neg.f64 y) (/.f64 1/3 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) (/.f64 1/3 z) x)))) (#(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 (/.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)))))

simplify43.0ms (0.4%)

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 → 291

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 -1/3 z)
✓	3.0b	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)

Compiler

Compiled 30 to 12 computations (60% saved)

series10.0ms (0.1%)

Counts

2 → 48

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
1.0ms	z	@	0	(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	t	@	inf	(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)

rewrite67.0ms (0.6%)

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))))))

simplify137.0ms (1.3%)

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)

eval284.0ms (2.7%)

Compiler: Compiled 9843 to 5715 computations (41.9% saved)

prune102.0ms (1%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	347	15	362
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	348	16	364

Error

Counts

364 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	28.4b	(+.f64 (-.f64 x (pow.f64 (sqrt.f64 (.f64 y (/.f64 1/3 z))) 2)) (/.f64 t (.f64 (*.f64 z 3) y)))
▶	26.4b	(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
▶	3.2b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 z) (/.f64 t (*.f64 3 y))))
	26.4b	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
	24.7b	(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))
✓	2.8b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
	48.6b	(/.f64 t (.f64 z (.f64 y 3)))
	48.7b	(.f64 1/3 (/.f64 t (.f64 y z)))
	38.8b	x
	2.8b	(+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
	33.1b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 (sqrt.f64 t) 1) (/.f64 (sqrt.f64 t) (.f64 z (.f64 3 y)))))
▶	17.1b	(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
	40.7b	(/.f64 (*.f64 -1/3 y) z)
▶	40.7b	(*.f64 -1/3 (/.f64 y z))
▶	1.0b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 y) (*.f64 t (/.f64 1/3 z))))
	3.2b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (pow.f64 (/.f64 (.f64 z 3) (/.f64 t y)) -1))

Compiler

Compiled 466 to 333 computations (28.5% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 t (/.f64 1/3 z))
✓	0.4b	(/.f64 1/3 z)
	0.4b	(/.f64 y (*.f64 z 3))
✓	2.9b	(.f64 (/.f64 1 y) (.f64 t (/.f64 1/3 z)))

Compiler

Compiled 63 to 40 computations (36.5% saved)

series7.0ms (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))
0.0ms	z	@	inf	(*.f64 t (/.f64 1/3 z))
0.0ms	z	@	0	(/.f64 1/3 z)
0.0ms	z	@	-inf	(*.f64 t (/.f64 1/3 z))

rewrite77.0ms (0.7%)

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)))))))

simplify26.0ms (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))

localize7.0ms (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)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite61.0ms (0.6%)

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))))))))

simplify8.0ms (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

localize10.0ms (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)

series3.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite62.0ms (0.6%)

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)))))

simplify11.0ms (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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.4b	(/.f64 -1/3 z)
✓	3.1b	(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))

Compiler

Compiled 28 to 12 computations (57.1% saved)

series54.0ms (0.5%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
45.0ms	y	@	inf	(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
4.0ms	t	@	0	(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
1.0ms	y	@	0	(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
1.0ms	z	@	inf	(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
1.0ms	z	@	0	(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))

rewrite63.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`prod-diff_binary64`
526×	`log-prod_binary64`
344×	`pow-prod-down_binary64`
279×	`pow2_binary64`
210×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	205	13
2	2948	13

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

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

simplify94.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

957×	`fma-def_binary64`
822×	`fma-neg_binary64`
565×	`div-sub_binary64`
357×	`times-frac_binary64`
337×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	561
1	33	561
2	76	561
3	146	441
4	288	441
5	543	441
6	1103	441
7	2087	441
8	5094	441
9	7579	441

Stop Event

1×	node limit

Counts

83 → 54

Calls

Call 1

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

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

localize191.0ms (1.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 x (/.f64 y (*.f64 z 3)))
	0.4b	(/.f64 y (*.f64 z 3))
✓	0.4b	(/.f64 t (*.f64 3 y))
✓	4.1b	(.f64 (/.f64 1 z) (/.f64 t (.f64 3 y)))

Compiler

Compiled 62 to 39 computations (37.1% saved)

series6.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

539×	`log-prod_binary64`
415×	`exp-prod_binary64`
352×	`pow-prod-down_binary64`
264×	`pow2_binary64`
191×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	210	17
2	2811	17

Stop Event

1×	node limit

Counts

2 → 128

Calls

Call 1

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

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

simplify26.0ms (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

188 → 130

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))

eval396.0ms (3.8%)

Compiler: Compiled 16780 to 10099 computations (39.8% saved)

prune134.0ms (1.3%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	715	10	725
Fresh	7	3	10
Picked	1	0	1
Done	2	3	5
Total	725	16	741

Error

Counts

741 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	44.8b	(*.f64 (-.f64 y (/.f64 t y)) (cbrt.f64 (pow.f64 (/.f64 -1/3 z) 3)))
▶	46.8b	(/.f64 (/.f64 (*.f64 1/3 t) z) y)
✓	17.1b	(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
	48.7b	(.f64 1/3 (/.f64 t (.f64 y z)))
▶	40.7b	(/.f64 (*.f64 -1/3 y) z)
▶	0.9b	(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (/.f64 t z) y) 3))
	38.8b	x
✓	40.7b	(*.f64 -1/3 (/.f64 y z))
	48.6b	(/.f64 t (.f64 z (.f64 y 3)))
	40.7b	(/.f64 y (*.f64 z -3))
▶	40.7b	(/.f64 -1/3 (/.f64 z y))
	26.4b	(/.f64 (-.f64 y (/.f64 t y)) (*.f64 z -3))
✓	26.4b	(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
	24.7b	(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))
▶	17.1b	(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
	26.4b	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))

Compiler

Compiled 328 to 238 computations (27.4% saved)

localize22.0ms (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 (/.f64 (/.f64 t z) y) 3)
	0.4b	(/.f64 y (*.f64 z 3))
✓	2.9b	(/.f64 (/.f64 t z) y)

Compiler

Compiled 54 to 25 computations (53.7% saved)

series6.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite81.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

489×	`log-prod_binary64`
376×	`exp-prod_binary64`
337×	`prod-exp_binary64`
296×	`pow-prod-down_binary64`
242×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	182	17
2	2597	17

Stop Event

1×	node limit

Counts

2 → 107

Calls

Call 1

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

Outputs

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

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

simplify114.0ms (1.1%)

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	8	612
1	14	612
2	32	612
3	58	612
4	82	612
5	84	612

Stop Event

1×

saturated

Counts

179 → 111

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 -1/3 (/.f64 z y))

Compiler

Compiled 15 to 8 computations (46.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite55.0ms (0.5%)

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))))))))

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

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))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite81.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

685×	`pow1_binary64`
640×	`add-log-exp_binary64`
640×	`log1p-expm1-u_binary64`
640×	`expm1-log1p-u_binary64`
627×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	127	11
2	1679	11

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

76 → 52

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))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
	0.7b	(/.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	x	@	inf	(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
0.0ms	y	@	-inf	(+.f64 (/.f64 -1/3 (/.f64 z y)) x)

rewrite83.0ms (0.8%)

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)))))

simplify52.0ms (0.5%)

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)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 1/3 t) z)
✓	0.4b	(*.f64 1/3 t)
✓	2.8b	(/.f64 (/.f64 (*.f64 1/3 t) z) y)

Compiler

Compiled 23 to 14 computations (39.1% saved)

series5.0ms (0.1%)

Counts

3 → 60

Calls

18 calls:

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

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

502×	`log-prod_binary64`
391×	`exp-prod_binary64`
320×	`prod-exp_binary64`
278×	`pow-prod-down_binary64`
235×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	174	21
2	2488	21

Stop Event

1×	node limit

Counts

3 → 149

Calls

Call 1

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

Outputs

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

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

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

simplify53.0ms (0.5%)

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

209 → 151

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))

eval600.0ms (5.7%)

Compiler: Compiled 13335 to 7273 computations (45.5% saved)

prune226.0ms (2.1%)

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	649	2	651
Fresh	2	6	8
Picked	0	1	1
Done	1	6	7
Total	652	15	667

Error

Counts

667 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	44.8b	(*.f64 (-.f64 y (/.f64 t y)) (cbrt.f64 (pow.f64 (/.f64 -1/3 z) 3)))
✓	46.8b	(/.f64 (/.f64 (*.f64 1/3 t) z) y)
▶	46.8b	(*.f64 (/.f64 1/3 y) (/.f64 t z))
✓	17.1b	(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
▶	48.7b	(.f64 1/3 (/.f64 t (.f64 y z)))
	38.8b	x
✓	40.7b	(*.f64 -1/3 (/.f64 y z))
✓	17.1b	(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
▶	22.6b	(+.f64 x (/.f64 (/.f64 (/.f64 t z) y) 3))
▶	48.6b	(/.f64 t (.f64 z (.f64 y 3)))
▶	40.7b	(/.f64 y (*.f64 z -3))
✓	40.7b	(/.f64 -1/3 (/.f64 z y))
✓	26.4b	(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
✓	40.7b	(/.f64 (*.f64 -1/3 y) z)
	26.4b	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))

Compiler

Compiled 246 to 180 computations (26.8% saved)

localize54.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 (/.f64 (/.f64 t z) y) 3))
	0.2b	(/.f64 (/.f64 (/.f64 t z) y) 3)
	2.9b	(/.f64 (/.f64 t z) y)

Compiler

Compiled 33 to 12 computations (63.6% saved)

series7.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`prod-diff_binary64`
615×	`log-prod_binary64`
236×	`log-div_binary64`
218×	`pow1/3_binary64`
216×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	231	11
2	3447	11

Stop Event

1×	node limit

Counts

1 → 57

Calls

Call 1

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

Outputs

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

simplify134.0ms (1.3%)

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

105 → 62

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)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

683×	`pow1_binary64`
638×	`add-log-exp_binary64`
638×	`log1p-expm1-u_binary64`
638×	`expm1-log1p-u_binary64`
625×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1676	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

62 → 38

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 (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 1/3 (/.f64 t (.f64 y z)))
✓	6.1b	(/.f64 t (*.f64 y z))

Compiler

Compiled 23 to 9 computations (60.9% saved)

series5.0ms (0.1%)

Counts

2 → 0

Calls

18 calls:

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

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`pow1_binary64`
844×	`add-log-exp_binary64`
844×	`log1p-expm1-u_binary64`
844×	`expm1-log1p-u_binary64`
827×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	168	17
2	2223	17

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

62 → 62

Calls

Call 1

Inputs

Outputs

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1/3 y)
✓	3.0b	(*.f64 (/.f64 1/3 y) (/.f64 t z))

Compiler

Compiled 21 to 11 computations (47.6% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite70.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

596×	`unpow-prod-down_binary64`
467×	`log-prod_binary64`
352×	`exp-prod_binary64`
304×	`pow-prod-down_binary64`
239×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	178	14
2	2453	14

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1/3 y) (/.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 t z)) (/.f64 1/3 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 t z)) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 t z)) (/.f64 1/3 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 t z)) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/3 y) (/.f64 t z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (*.f64 y (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (*.f64 (/.f64 z t) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 (*.f64 y z) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 y (/.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 y) (/.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 t (*.f64 (*.f64 y 3) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 t (*.f64 z (*.f64 y 3)))))) (#(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 y 3) (/.f64 z t)))))) (#(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 z) (*.f64 1/3 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 1/3 (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 (/.f64 1/3 y) t)))))) (#(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 -1/3 (*.f64 (neg.f64 y) (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (*.f64 (/.f64 z t) (neg.f64 y)))))) (#(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 (/.f64 t z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/3 y) t) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/3 t)) (neg.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/3 (/.f64 t z))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 1/3 y) t)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 t) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (neg.f64 t)) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (neg.f64 t)) (*.f64 (neg.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 t) 1/3) (*.f64 (neg.f64 z) y))))) (#(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 -1/3) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 t) -1/3) (*.f64 (neg.f64 z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (/.f64 t z)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (/.f64 t z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (/.f64 t z)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 1/3 y) t) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 1/3 y) t) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 1/3 y) t) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (/.f64 t z)) (neg.f64 y))))) (#(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 (/.f64 1/3 y) (neg.f64 t)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 t z) -1/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/3 y) (/.f64 t z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (pow.f64 (/.f64 (/.f64 t z) y) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1/3 y) (/.f64 t z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1/3 y) (/.f64 t z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 1/3 y) (/.f64 t z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 1/3 y) (/.f64 t z))))))) (#(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 z t) (*.f64 y 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y z) (*.f64 1/3 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 1/3 (/.f64 t z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (*.f64 (/.f64 1/3 y) t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1/3 y) (/.f64 t z)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 1/3 y) (/.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 1/3 y) (/.f64 t z))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 1/3 y) (/.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 (/.f64 (/.f64 t z) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 t z)) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/3 y) (/.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 1/3 y) (/.f64 t z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1/3 y) (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1/3 y) (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1/3 y) (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/3 y) (/.f64 t z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 1/3 y) (/.f64 t z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 1/3 y) (/.f64 t z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 1/3 y) (/.f64 t z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/3 y) (/.f64 t z))) 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 1/3 (/.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)) (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 -1/3 (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (pow.f64 (/.f64 1 (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1/3 y) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1/3 y) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 1/9 (pow.f64 y -2)) 1/3) 1/3) (cbrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 1/3 y) (cbrt.f64 (/.f64 1/3 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 1/3 y) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 1/3) 3) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/3 y))) 2) 3) (cbrt.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/3 y))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/3 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 1/3) 2) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2) -1) (cbrt.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (pow.f64 y -2)) 1/2)))) (#(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 pow.f64 (exp.f64 1) (log.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y 3) 1) -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 1/9 (pow.f64 y -2)))))) (#(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 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 (log.f64 (*.f64 y 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/3 y)) 1) 1))))))

simplify21.0ms (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

150 → 116

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)))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 14 computations (39.1% saved)

series33.0ms (0.3%)

Counts

2 → 60

Calls

15 calls:

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

rewrite70.0ms (0.7%)

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))))))))

simplify24.0ms (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))

eval147.0ms (1.4%)

Compiler: Compiled 5515 to 2873 computations (47.9% saved)

prune89.0ms (0.8%)

Pruning

17 alts after pruning (5 fresh and 12 done)

	Pruned	Kept	Total
New	443	4	447
Fresh	2	1	3
Picked	0	1	1
Done	0	11	11
Total	445	17	462

Error

Counts

462 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	44.8b	(*.f64 (-.f64 y (/.f64 t y)) (cbrt.f64 (pow.f64 (/.f64 -1/3 z) 3)))
	38.8b	x
✓	46.8b	(/.f64 (/.f64 (*.f64 1/3 t) z) y)
✓	46.8b	(*.f64 (/.f64 1/3 y) (/.f64 t z))
✓	17.1b	(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
✓	48.7b	(.f64 1/3 (/.f64 t (.f64 y z)))
✓	17.1b	(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
✓	22.6b	(+.f64 x (/.f64 (/.f64 (/.f64 t z) y) 3))
✓	48.6b	(/.f64 t (.f64 z (.f64 y 3)))
✓	40.7b	(/.f64 y (*.f64 z -3))
	48.7b	(/.f64 (.f64 t 1/3) (.f64 y z))
✓	40.7b	(/.f64 -1/3 (/.f64 z y))
	25.1b	(+.f64 x (/.f64 (/.f64 (/.f64 t y) z) 3))
✓	26.4b	(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
✓	40.7b	(/.f64 (*.f64 -1/3 y) z)
✓	40.7b	(*.f64 -1/3 (/.f64 y z))
	40.7b	(*.f64 (/.f64 1 z) (/.f64 y -3))

Compiler

Compiled 184 to 136 computations (26.1% saved)

regimes170.0ms (1.6%)

Counts

33 → 1

Calls

Call 1

Inputs
x
x
x
(/.f64 y (*.f64 z -3))
(/.f64 -1/3 (/.f64 z y))
(/.f64 (*.f64 -1/3 y) z)
(*.f64 -1/3 (/.f64 y z))
(/.f64 (.f64 t 1/3) (.f64 y z))
(*.f64 (/.f64 1 z) (/.f64 y -3))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 (/.f64 (*.f64 1/3 t) z) y)
(.f64 1/3 (/.f64 t (.f64 y z)))
(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
(/.f64 t (.f64 z (.f64 y 3)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(+.f64 x (/.f64 (/.f64 (/.f64 t y) z) 3))
(+.f64 x (/.f64 (/.f64 (/.f64 t z) y) 3))
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 z -3))
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (/.f64 t z) y) 3))
(+.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 (/.f64 1 z) (/.f64 y 3))) (/.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))))
(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (pow.f64 (/.f64 (.f64 z 3) (/.f64 t y)) -1))
(*.f64 (-.f64 y (/.f64 t y)) (cbrt.f64 (pow.f64 (/.f64 -1/3 z) 3)))
(+.f64 (-.f64 x (pow.f64 (sqrt.f64 (.f64 y (/.f64 1/3 z))) 2)) (/.f64 t (.f64 (*.f64 z 3) y)))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 (sqrt.f64 t) 1) (/.f64 (sqrt.f64 t) (.f64 z (.f64 3 y)))))

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

Calls

7 calls:

49.0ms	(*.f64 z 3)
20.0ms	(*.f64 z 3)
20.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
19.0ms	y
17.0ms	x

Results

Error	Segments	Branch
0.9b	1	`x`
0.9b	1	`y`
0.9b	1	`z`
0.9b	1	`t`
0.9b	1	`(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))`
0.9b	1	`(*.f64 z 3)`
0.9b	1	`(*.f64 z 3)`

Compiler

Compiled 365 to 208 computations (43% saved)

regimes449.0ms (4.3%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

6 calls:

103.0ms	(*.f64 z 3)
85.0ms	z
73.0ms	(*.f64 z 3)
64.0ms	x
64.0ms	y

Results

Error	Segments	Branch
9.0b	3	`x`
2.8b	3	`y`
10.3b	6	`z`
13.3b	5	`t`
10.3b	6	`(*.f64 z 3)`
10.3b	6	`(*.f64 z 3)`

Compiler

Compiled 187 to 102 computations (45.5% saved)

bsearch90.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	4.946722261637669e-15	6.130985074967706e-14
45.0ms	-1.133510060261912e-14	-3.1708007136448266e-19

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes275.0ms (2.6%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

4 calls:

81.0ms	t
80.0ms	z
63.0ms	x
43.0ms	y

Results

Error	Segments	Branch
12.7b	7	`x`
5.6b	3	`y`
13.5b	5	`z`
14.3b	5	`t`

Compiler

Compiled 119 to 69 computations (42% saved)

bsearch53.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	4.946722261637669e-15	6.130985074967706e-14
26.0ms	-1.133510060261912e-14	-3.1708007136448266e-19

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes147.0ms (1.4%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

4 calls:

42.0ms	z
41.0ms	x
32.0ms	y
27.0ms	t

Results

Error	Segments	Branch
14.3b	5	`x`
12.6b	3	`y`
14.6b	5	`z`
16.0b	3	`t`

Compiler

Compiled 110 to 64 computations (41.8% saved)

bsearch100.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	5.068563155566639e-114	3.5934149957413886e-112
75.0ms	-1.8679920034348461e-211	-7.455063102609894e-221

Compiler

Compiled 242 to 181 computations (25.2% saved)

regimes142.0ms (1.3%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

4 calls:

41.0ms	x
38.0ms	z
32.0ms	y
27.0ms	t

Results

Error	Segments	Branch
14.3b	5	`x`
12.6b	3	`y`
14.6b	5	`z`
16.0b	3	`t`

Compiler

Compiled 103 to 61 computations (40.8% saved)

bsearch102.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	5.068563155566639e-114	3.5934149957413886e-112
75.0ms	-1.8679920034348461e-211	-7.455063102609894e-221

Compiler

Compiled 242 to 181 computations (25.2% saved)

regimes256.0ms (2.4%)

Counts

12 → 7

Calls

Call 1

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

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

Calls

4 calls:

81.0ms	t
65.0ms	z
56.0ms	x
48.0ms	y

Results

Error	Segments	Branch
21.4b	8	`x`
21.1b	7	`y`
27.6b	9	`z`
28.6b	12	`t`

Compiler

Compiled 82 to 52 computations (36.6% saved)

bsearch203.0ms (1.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
26.0ms	2.501231466223372e+73	1.8368227262699776e+78
27.0ms	3.4718100869869137e-51	9.411111189847017e-49
26.0ms	1.6905720629930069e-105	1.324447034162115e-103
25.0ms	5.068563155566639e-114	3.5934149957413886e-112
73.0ms	-1.8679920034348461e-211	-7.455063102609894e-221
25.0ms	-1.133510060261912e-14	-3.1708007136448266e-19

Compiler

Compiled 188 to 145 computations (22.9% saved)

regimes165.0ms (1.6%)

Counts

9 → 7

Calls

Call 1

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

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

Calls

4 calls:

66.0ms	t
41.0ms	x
28.0ms	y
28.0ms	z

Results

Error	Segments	Branch
22.7b	7	`x`
23.6b	5	`y`
30.1b	5	`z`
28.6b	12	`t`

Compiler

Compiled 61 to 41 computations (32.8% saved)

bsearch156.0ms (1.5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
28.0ms	6.0052614560646486e+84	7.384510943577187e+90
24.0ms	1.972711498071981e-214	1.7346576291653303e-209
25.0ms	3.1654662619889695e-237	2.9783037517410885e-236
25.0ms	-1.169941592466964e-305	-5.638788747329317e-306
29.0ms	-4.1395957019441755e-293	-4.9964249190643935e-295
25.0ms	-9.060860961590218e-65	-2.5657488433961098e-73

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes101.0ms (1%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

4 calls:

48.0ms	t
19.0ms	z
16.0ms	x
16.0ms	y

Results

Error	Segments	Branch
25.3b	3	`x`
27.0b	3	`y`
31.2b	3	`z`
30.8b	10	`t`

Compiler

Compiled 47 to 32 computations (31.9% saved)

bsearch52.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	6.0052614560646486e+84	7.384510943577187e+90
26.0ms	-9.060860961590218e-65	-2.5657488433961098e-73

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes18.0ms (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:

5.0ms	z
4.0ms	x
4.0ms	t
4.0ms	y

Results

Error	Segments	Branch
38.8b	1	`x`
38.8b	1	`y`
38.8b	1	`z`
38.8b	1	`t`

Compiler

Compiled 27 to 20 computations (25.9% saved)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
8×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	373
1	105	373
2	111	373
3	115	373
4	118	373
5	119	373

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (/.f64 t z) y) 3))
(if (<=.f64 y -3592236770639373/316912650057057350374175801344) (+.f64 (/.f64 -1/3 (/.f64 z y)) x) (if (<=.f64 y 783839430515917/158456325028528675187087900672) (+.f64 x (/.f64 (/.f64 (/.f64 t z) y) 3)) (+.f64 (*.f64 -1/3 (/.f64 y z)) x)))
(if (<=.f64 y -3592236770639373/316912650057057350374175801344) (+.f64 (/.f64 -1/3 (/.f64 z y)) x) (if (<=.f64 y 783839430515917/158456325028528675187087900672) (+.f64 x (/.f64 (/.f64 (/.f64 t y) z) 3)) (+.f64 (*.f64 -1/3 (/.f64 y z)) x)))
(if (<=.f64 y -7630936927276445/101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411689167650816) (+.f64 (/.f64 -1/3 (/.f64 z y)) x) (if (<=.f64 y 7026725727088493/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912) (.f64 (/.f64 1/3 y) (/.f64 t z)) (+.f64 (.f64 -1/3 (/.f64 y z)) x)))
(if (<=.f64 y -7630936927276445/101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411689167650816) (+.f64 (/.f64 -1/3 (/.f64 z y)) x) (if (<=.f64 y 7026725727088493/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912) (*.f64 (/.f64 1/3 y) (/.f64 t z)) (+.f64 (/.f64 -1/3 (/.f64 z y)) x)))
(if (<=.f64 y -3592236770639373/316912650057057350374175801344) (/.f64 y (.f64 z -3)) (if (<=.f64 y -7630936927276445/101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411689167650816) x (if (<=.f64 y 7026725727088493/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912) (.f64 (/.f64 1/3 y) (/.f64 t z)) (if (<=.f64 y 8730959007121651/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) x (if (<=.f64 y 1462497105994419/421249166674228746791672110734681729275580381602196445017243910144) (.f64 (/.f64 1/3 y) (/.f64 t z)) (if (<=.f64 y 25012314662233720279824013396939376127729455493569187036038863318501294080) x (.f64 (/.f64 1 z) (/.f64 y -3))))))))
(if (<=.f64 x -2685890613840305/29642774844752946028434172162224104410437116074403984394101141506025761187823616) x (if (<=.f64 x -3720861387245297/89884656743115795386465259539451236680898848947115328636715040578866337902750481566354238661203768010560056939935696678829394884407208311246423715319737062188883946712432742638151109800623047059726541476042502884419075341171231440736956555270413618581675255342293149119973622969239858152417678164812112068608) (/.f64 (.f64 -1/3 y) z) (if (<=.f64 x -4624976846743297/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (/.f64 (.f64 t 1/3) (.f64 y z)) (if (<=.f64 x 1450487746148419/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (.f64 -1/3 (/.f64 y z)) (if (<=.f64 x 4785422330697477/24258095192198577111702804507226602425888844017448384549047688094157046135724638848919975137947601217976370792142673018846430938189293974866316988672518455300069609000325779774222895087993725700394734362401819824232700732090875904) (/.f64 (.f64 t 1/3) (.f64 y z)) (if (<=.f64 x 6005261456064648563194758283503594192333286071811258606927539549269529411812698619904) (/.f64 y (*.f64 z -3)) x))))))
(if (<=.f64 x -2685890613840305/29642774844752946028434172162224104410437116074403984394101141506025761187823616) x (if (<=.f64 x 6005261456064648563194758283503594192333286071811258606927539549269529411812698619904) (/.f64 y (*.f64 z -3)) x))
x

Outputs
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (/.f64 t z) y) 3))
(if (<=.f64 y -3592236770639373/316912650057057350374175801344) (+.f64 (/.f64 -1/3 (/.f64 z y)) x) (if (<=.f64 y 783839430515917/158456325028528675187087900672) (+.f64 x (/.f64 (/.f64 (/.f64 t z) y) 3)) (+.f64 (*.f64 -1/3 (/.f64 y z)) x)))
(if (<=.f64 y -3592236770639373/316912650057057350374175801344) (+.f64 x (/.f64 -1/3 (/.f64 z y))) (if (<=.f64 y 783839430515917/158456325028528675187087900672) (+.f64 x (/.f64 (/.f64 (/.f64 t z) y) 3)) (+.f64 x (*.f64 -1/3 (/.f64 y z)))))
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(if (<=.f64 x -2685890613840305/29642774844752946028434172162224104410437116074403984394101141506025761187823616) x (if (<=.f64 x -3720861387245297/89884656743115795386465259539451236680898848947115328636715040578866337902750481566354238661203768010560056939935696678829394884407208311246423715319737062188883946712432742638151109800623047059726541476042502884419075341171231440736956555270413618581675255342293149119973622969239858152417678164812112068608) (/.f64 (.f64 -1/3 y) z) (if (<=.f64 x -4624976846743297/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (/.f64 (.f64 t 1/3) (.f64 y z)) (if (<=.f64 x 1450487746148419/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (.f64 -1/3 (/.f64 y z)) (if (<=.f64 x 4785422330697477/24258095192198577111702804507226602425888844017448384549047688094157046135724638848919975137947601217976370792142673018846430938189293974866316988672518455300069609000325779774222895087993725700394734362401819824232700732090875904) (/.f64 (.f64 t 1/3) (.f64 y z)) (if (<=.f64 x 6005261456064648563194758283503594192333286071811258606927539549269529411812698619904) (/.f64 y (*.f64 z -3)) x))))))
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(if (<=.f64 x -2685890613840305/29642774844752946028434172162224104410437116074403984394101141506025761187823616) x (if (<=.f64 x 6005261456064648563194758283503594192333286071811258606927539549269529411812698619904) (/.f64 y (*.f64 z -3)) x))
x

Compiler

Compiled 295 to 194 computations (34.2% saved)

soundness0.0ms (0%)

end118.0ms (1.1%)

Compiler: Compiled 263 to 151 computations (42.6% saved)