Details

analyze425.0ms (6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
9.4%	90.4%	0.2%	11
15.2%	84.6%	0.2%	12

Compiler

Compiled 20 to 14 computations (30% saved)

sample1.6s (22%)

Results

1.1s	8256×	body	256	valid
429.0ms	3224×	body	256	invalid

preprocess57.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	154
1	122	154
2	290	154
3	609	154
4	1387	133
5	3618	112
6	7263	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 (+.f64 x (.f64 -1/3 (/.f64 y z))) (/.f64 t (.f64 y (*.f64 z 3))))
(+.f64 x (.f64 -1/3 (-.f64 (/.f64 y z) (/.f64 t (.f64 y z)))))
(+.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 t (.f64 z (.f64 x 3))) (/.f64 x (*.f64 z 3))))
(+.f64 y (*.f64 -1/3 (-.f64 (/.f64 x z) (/.f64 (/.f64 t x) z))))
(-.f64 y (*.f64 (/.f64 -1/3 z) (-.f64 (/.f64 t x) 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 z (/.f64 y (.f64 x 3))) (/.f64 (/.f64 t y) (.f64 x 3)))
(+.f64 (-.f64 z (/.f64 y (.f64 x 3))) (/.f64 (/.f64 t 3) (.f64 x y)))
(+.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 t (+.f64 (/.f64 x (.f64 y (.f64 z 3))) (*.f64 -1/3 (/.f64 y z))))
(+.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 -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 (-.f64 x (/.f64 t (*.f64 z 3))) (/.f64 (/.f64 (/.f64 y 3) t) z))
(+.f64 (.f64 -1/3 (/.f64 t z)) (-.f64 x (.f64 -1/3 (/.f64 y (*.f64 z t)))))
(+.f64 x (.f64 -1/3 (-.f64 (/.f64 t z) (/.f64 y (.f64 z t)))))
(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 t (/.f64 y 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 t (.f64 y 3))))
(+.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)

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Rules

871×	`distribute-rgt-in_binary64`
684×	`div-sub_binary64`
399×	`distribute-neg-frac_binary64`
392×	`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	552	16
6	1238	14
7	3482	14
8	4716	14
9	5700	14
10	6649	14
11	7250	14
12	7524	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 (/.f64 t y) z) 3))
(+.f64 (+.f64 x (.f64 -1/3 (/.f64 y z))) (/.f64 t (.f64 y (*.f64 z 3))))
(+.f64 x (fma.f64 -1/3 (/.f64 y z) (/.f64 t (.f64 y (.f64 z 3)))))
(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.4b	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
▶	4.4b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))

Compiler

Compiled 33 to 22 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	7.5b	(/.f64 t (.f64 (.f64 z 3) y))
	0.2b	(.f64 (.f64 z 3) y)
	0.2b	(/.f64 y (*.f64 z 3))
✓	0.2b	(/.f64 y (*.f64 z 3))
✓	0.2b	(.f64 (.f64 z 3) y)
✓	7.5b	(/.f64 t (.f64 (.f64 z 3) y))

series18.0ms (0.3%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(/.f64 t (.f64 (.f64 z 3) y))
2.0ms	z	@	0	(/.f64 y (*.f64 z 3))
1.0ms	t	@	0	(/.f64 t (.f64 (.f64 z 3) y))
1.0ms	t	@	inf	(/.f64 t (.f64 (.f64 z 3) y))
1.0ms	z	@	0	(/.f64 t (.f64 (.f64 z 3) y))

rewrite64.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

601×	`log-prod_binary64`
454×	`exp-prod_binary64`
322×	`pow-prod-down_binary64`
265×	`pow2_binary64`
199×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	196	24
2	2812	24

Stop Event

1×	node limit

Counts

3 → 135

Calls

Call 1

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

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

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

simplify29.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

16×	`associate-/l*_binary64`
12×	`*-commutative_binary64`
11×	`associate-*r/_binary64`
9×	`associate-/r/_binary64`
8×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	696
1	24	696
2	53	696
3	82	696
4	107	696
5	109	696

Stop Event

1×

saturated

Counts

219 → 139

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.2b	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
	0.4b	(/.f64 -1/3 z)
✓	0.4b	(/.f64 -1/3 z)
✓	4.2b	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)

series7.0ms (0.1%)

Counts

2 → 48

Calls

15 calls:

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

rewrite57.0ms (0.8%)

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	3095	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)) (cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.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 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 log1p.f64 (expm1.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))))
((#(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 -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 z -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 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 log1p.f64 (expm1.f64 (/.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)) (cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 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 log1p.f64 (expm1.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))))

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

simplify92.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1440×	`fma-def_binary64`
722×	`div-sub_binary64`
469×	`fma-neg_binary64`
357×	`times-frac_binary64`
263×	`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	602	571
6	1214	571
7	2277	571
8	4830	571
9	6010	571
10	6798	571
11	7272	571
12	7524	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 1/3 z) (-.f64 (/.f64 t y) y))
(*.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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 1/3 (/.f64 (/.f64 t y) z))
(/.f64 1/3 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(+.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 (/.f64 t y) (/.f64 1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(*.f64 -1/3 (/.f64 y z))
(/.f64 (*.f64 -1/3 y) z)
(*.f64 y (/.f64 -1/3 z))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 y (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(*.f64 -1/3 (/.f64 y z))
(/.f64 (*.f64 -1/3 y) z)
(*.f64 y (/.f64 -1/3 z))
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 y (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 y (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 1/3 (/.f64 (/.f64 t y) z))
(/.f64 1/3 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(+.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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (.f64 1/3 t) (.f64 y z))
(*.f64 (/.f64 1/3 z) (/.f64 t y))
(*.f64 1/3 (/.f64 (/.f64 t y) z))
(/.f64 1/3 (/.f64 (*.f64 y z) t))
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(+.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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
(*.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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 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)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x)

eval66.0ms (0.9%)

Compiler: Compiled 3774 to 2245 computations (40.5% saved)

prune50.0ms (0.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	194	16	210
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	195	17	212

Error

0.0b

Counts

212 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (*.f64 t (/.f64 1/3 z)) (/.f64 1 y)))
	50.5b	(*.f64 (/.f64 t y) (/.f64 1/3 z))
	4.4b	(+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
▶	15.5b	(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
	50.6b	(.f64 1/3 (/.f64 t (.f64 y z)))
	43.5b	(*.f64 y (/.f64 -1/3 z))
	34.6b	x
✓	4.4b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
▶	43.6b	(*.f64 -1/3 (/.f64 y z))
▶	0.9b	(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 1/3 (/.f64 y (/.f64 t z))))
	4.5b	(fma.f64 (*.f64 (/.f64 1 z) -1/3) (-.f64 y (/.f64 t y)) x)
	23.3b	(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
▶	31.6b	(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
	31.6b	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
	4.4b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (pow.f64 (/.f64 z (/.f64 t (.f64 3 y))) -1))
	4.5b	(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
	4.4b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 z) (/.f64 t (*.f64 3 y))))

Compiler

Compiled 472 to 335 computations (29% saved)

localize13.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	2.9b	(.f64 (.f64 t (/.f64 1/3 z)) (/.f64 1 y))
	0.4b	(/.f64 1/3 z)
	0.2b	(*.f64 t (/.f64 1/3 z))
	0.2b	(/.f64 y (*.f64 z 3))
	0.2b	(/.f64 y (*.f64 z 3))
✓	0.2b	(*.f64 t (/.f64 1/3 z))
✓	0.4b	(/.f64 1/3 z)
✓	2.9b	(.f64 (.f64 t (/.f64 1/3 z)) (/.f64 1 y))

series8.0ms (0.1%)

Counts

3 → 60

Calls

18 calls:

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

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`log-prod_binary64`
407×	`prod-exp_binary64`
387×	`exp-prod_binary64`
326×	`pow-prod-down_binary64`
257×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	211	21
2	2656	21

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

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

Outputs

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

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

((#(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 t (*.f64 z 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 t 1/3)))))) (#(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) 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 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)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 t 1/3) z)))))))

simplify23.0ms (0.3%)

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

198 → 142

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

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

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

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite37.0ms (0.5%)

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

simplify6.0ms (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

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.3b	(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
	0.4b	(/.f64 -1/3 z)
	0.4b	(/.f64 -1/3 z)
✓	4.3b	(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))

series10.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	t	@	-inf	(*.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	@	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	y	@	inf	(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))

rewrite56.0ms (0.8%)

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	2942	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 t y) 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 t y) 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 t y) 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 t y) 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 t y) 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 t y) 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) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 (/.f64 t y) 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 t y) 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 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)))))) (#(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 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 log1p.f64 (expm1.f64 (*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))))))))

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

964×	`fma-def_binary64`
822×	`fma-neg_binary64`
574×	`div-sub_binary64`
357×	`times-frac_binary64`
335×	`distribute-rgt-in_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	544	441
6	1102	441
7	2086	441
8	4948	441
9	7439	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 1/3 (/.f64 (/.f64 t z) y))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(+.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 (/.f64 t z) y) (*.f64 -1/3 (/.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 (-.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 (/.f64 t z) y) (*.f64 -1/3 (/.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 (-.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 (/.f64 t z) y) (*.f64 -1/3 (/.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 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 y (/.f64 -1/3 z))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(fma.f64 -1/3 (/.f64 y z) (/.f64 (.f64 1/3 t) (.f64 y z)))
(fma.f64 1/3 (/.f64 (/.f64 t z) y) (*.f64 -1/3 (/.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 (-.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 (/.f64 t z) y) (*.f64 -1/3 (/.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 (-.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 (/.f64 t z) y) (*.f64 -1/3 (/.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 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 y (/.f64 -1/3 z))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(fma.f64 -1/3 (/.f64 y z) (/.f64 (.f64 1/3 t) (.f64 y z)))
(fma.f64 1/3 (/.f64 (/.f64 t z) y) (*.f64 -1/3 (/.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 (-.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 (/.f64 t z) y) (*.f64 -1/3 (/.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 (-.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 (/.f64 t z) y) (*.f64 -1/3 (/.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 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))
(*.f64 -1/3 (/.f64 y z))
(*.f64 y (/.f64 -1/3 z))
(+.f64 (.f64 -1/3 (/.f64 y z)) (.f64 1/3 (/.f64 t (*.f64 y z))))
(fma.f64 -1/3 (/.f64 y z) (/.f64 (.f64 1/3 t) (.f64 y z)))
(fma.f64 1/3 (/.f64 (/.f64 t z) y) (*.f64 -1/3 (/.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 (-.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 (/.f64 t z) y) (*.f64 -1/3 (/.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 (-.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 (/.f64 t z) y) (*.f64 -1/3 (/.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 (-.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 1/3 (/.f64 (/.f64 t z) y))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(+.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 (/.f64 t z) y) (*.f64 -1/3 (/.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 (-.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 (/.f64 t z) y) (*.f64 -1/3 (/.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 (-.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 (/.f64 t z) y) (*.f64 -1/3 (/.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 (-.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 1/3 (/.f64 (/.f64 t z) y))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(/.f64 1/3 (*.f64 y (/.f64 z t)))
(+.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 (/.f64 t z) y) (*.f64 -1/3 (/.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 (-.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 (/.f64 t z) y) (*.f64 -1/3 (/.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 (-.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 (/.f64 t z) y) (*.f64 -1/3 (/.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 (-.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 (/.f64 t z) y) (*.f64 -1/3 (/.f64 y z)))
(fma.f64 1/3 (/.f64 t (.f64 y z)) (.f64 -1/3 (/.f64 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 (/.f64 t z) y) (*.f64 -1/3 (/.f64 y z)))
(fma.f64 1/3 (/.f64 t (.f64 y z)) (.f64 -1/3 (/.f64 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 (/.f64 t z) y) (*.f64 -1/3 (/.f64 y z)))
(fma.f64 1/3 (/.f64 t (.f64 y z)) (.f64 -1/3 (/.f64 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 (/.f64 t z) y) (*.f64 -1/3 (/.f64 y z)))
(fma.f64 1/3 (/.f64 t (.f64 y z)) (.f64 -1/3 (/.f64 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 (/.f64 t z) y) (*.f64 -1/3 (/.f64 y z)))
(fma.f64 1/3 (/.f64 t (.f64 y z)) (.f64 -1/3 (/.f64 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 (/.f64 t z) y) (*.f64 -1/3 (/.f64 y z)))
(fma.f64 1/3 (/.f64 t (.f64 y z)) (.f64 -1/3 (/.f64 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 (/.f64 t z) y) (*.f64 -1/3 (/.f64 y z)))
(fma.f64 1/3 (/.f64 t (.f64 y z)) (.f64 -1/3 (/.f64 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 (/.f64 t z) y) (*.f64 -1/3 (/.f64 y z)))
(fma.f64 1/3 (/.f64 t (.f64 y z)) (.f64 -1/3 (/.f64 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 (/.f64 t z) y) (*.f64 -1/3 (/.f64 y z)))
(fma.f64 1/3 (/.f64 t (.f64 y z)) (.f64 -1/3 (/.f64 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 (/.f64 t z) y) (*.f64 -1/3 (/.f64 y z)))
(fma.f64 1/3 (/.f64 t (.f64 y z)) (.f64 -1/3 (/.f64 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 (/.f64 t z) y) (*.f64 -1/3 (/.f64 y z)))
(fma.f64 1/3 (/.f64 t (.f64 y z)) (.f64 -1/3 (/.f64 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 (/.f64 t z) y) (*.f64 -1/3 (/.f64 y z)))
(fma.f64 1/3 (/.f64 t (.f64 y z)) (.f64 -1/3 (/.f64 y z)))
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))

localize12.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	2.8b	(/.f64 y (/.f64 t z))
	0.5b	(/.f64 1/3 (/.f64 y (/.f64 t z)))
	0.2b	(/.f64 y (*.f64 z 3))
	0.2b	(/.f64 y (*.f64 z 3))
✓	0.5b	(/.f64 1/3 (/.f64 y (/.f64 t z)))
✓	2.8b	(/.f64 y (/.f64 t z))

series6.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite64.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

502×	`log-prod_binary64`
395×	`exp-prod_binary64`
290×	`prod-exp_binary64`
255×	`pow-prod-down_binary64`
239×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	181	17
2	2577	17

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

Outputs

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

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

simplify24.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	612
1	17	612
2	36	612
3	60	612
4	80	612
5	82	612

Stop Event

1×

saturated

Counts

180 → 111

Calls

Call 1

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

eval160.0ms (2.3%)

Compiler: Compiled 8890 to 5180 computations (41.7% saved)

prune95.0ms (1.3%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	472	10	482
Fresh	6	5	11
Picked	1	0	1
Done	3	2	5
Total	482	17	499

Error

Counts

499 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	23.3b	(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
	31.6b	(.f64 (-.f64 y (/.f64 t y)) (.f64 (/.f64 1 z) -1/3))
▶	31.5b	(/.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3) z)
	47.7b	(/.f64 1/3 (*.f64 y (/.f64 z t)))
▶	50.5b	(*.f64 (/.f64 t y) (/.f64 1/3 z))
▶	0.9b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 (.f64 t 1/3) z) y))
	43.5b	(/.f64 (*.f64 -1/3 y) z)
✓	4.4b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
✓	43.6b	(*.f64 -1/3 (/.f64 y z))
	43.5b	(*.f64 y (/.f64 -1/3 z))
	4.5b	(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
	15.5b	(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
	31.5b	(/.f64 (-.f64 y (/.f64 t y)) (*.f64 z -3))
	50.6b	(.f64 1/3 (/.f64 t (.f64 y z)))
	34.6b	x
▶	43.6b	(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
▶	43.6b	(/.f64 -1/3 (/.f64 z y))

Compiler

Compiled 373 to 270 computations (27.6% saved)

localize13.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	2.8b	(/.f64 (/.f64 (*.f64 t 1/3) z) y)
	0.3b	(*.f64 t 1/3)
	0.2b	(/.f64 y (*.f64 z 3))
	0.2b	(/.f64 (*.f64 t 1/3) z)
✓	0.2b	(/.f64 (*.f64 t 1/3) z)
	0.2b	(/.f64 y (*.f64 z 3))
✓	0.3b	(*.f64 t 1/3)
✓	2.8b	(/.f64 (/.f64 (*.f64 t 1/3) z) y)

series5.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite66.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

494×	`log-prod_binary64`
382×	`exp-prod_binary64`
336×	`prod-exp_binary64`
291×	`pow-prod-down_binary64`
235×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	174	21
2	2467	21

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

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

Outputs

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

simplify39.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	576
1	19	576
2	41	576
3	66	576
4	81	576
5	81	576

Stop Event

1×

saturated

Counts

222 → 153

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.5b	(/.f64 -1/3 (/.f64 z y))
✓	0.5b	(/.f64 -1/3 (/.f64 z y))

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/.f64 -1/3 (/.f64 z y))
1.0ms	z	@	0	(/.f64 -1/3 (/.f64 z y))
0.0ms	y	@	-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))

rewrite54.0ms (0.8%)

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

simplify20.0ms (0.3%)

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

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
	0.3b	(*.f64 -1/3 y)
	0.2b	(/.f64 z (*.f64 -1/3 y))
✓	0.2b	(/.f64 z (*.f64 -1/3 y))
✓	0.3b	(*.f64 -1/3 y)
✓	0.4b	(/.f64 1 (/.f64 z (*.f64 -1/3 y)))

series11.0ms (0.2%)

Counts

3 → 48

Calls

15 calls:

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

rewrite86.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

832×	`pow1_binary64`
775×	`add-log-exp_binary64`
775×	`log1p-expm1-u_binary64`
775×	`expm1-log1p-u_binary64`
759×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	168	18
2	2144	18

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

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

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	336
1	15	336
2	21	336
3	29	336
4	31	336

Stop Event

1×

saturated

Counts

142 → 95

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

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

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite47.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

595×	`unpow-prod-down_binary64`
467×	`log-prod_binary64`
345×	`exp-prod_binary64`
303×	`pow-prod-down_binary64`
239×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	178	10
2	2454	10

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

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

Outputs

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

simplify21.0ms (0.3%)

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

104 → 70

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

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.2b	(/.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3) z)
	0.3b	(*.f64 (-.f64 y (/.f64 t y)) -1/3)
✓	0.3b	(*.f64 (-.f64 y (/.f64 t y)) -1/3)
✓	4.2b	(/.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3) z)

series5.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite59.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

559×	`log-prod_binary64`
550×	`prod-diff_binary64`
329×	`pow-prod-down_binary64`
282×	`pow2_binary64`
210×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	204	23
2	3012	23

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

Outputs

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

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

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Rules

959×	`fma-def_binary64`
822×	`fma-neg_binary64`
574×	`div-sub_binary64`
357×	`times-frac_binary64`
335×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	792
1	40	792
2	83	774
3	150	654
4	289	654
5	544	654
6	1100	654
7	2084	654
8	4957	654
9	7441	654

Stop Event

1×	node limit

Counts

135 → 87

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

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

eval154.0ms (2.2%)

Compiler: Compiled 7699 to 4616 computations (40% saved)

prune95.0ms (1.3%)

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	514	6	520
Fresh	3	7	10
Picked	1	0	1
Done	2	4	6
Total	520	17	537

Error

Counts

537 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	47.7b	(/.f64 (*.f64 t (/.f64 1/3 z)) y)
	50.6b	(/.f64 t (.f64 (.f64 z 3) y))
▶	15.5b	(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
✓	50.5b	(*.f64 (/.f64 t y) (/.f64 1/3 z))
✓	0.9b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 (.f64 t 1/3) z) y))
	43.5b	(*.f64 (/.f64 -1/3 z) y)
	34.6b	x
▶	43.5b	(/.f64 (*.f64 -1/3 y) z)
✓	43.6b	(*.f64 -1/3 (/.f64 y z))
✓	43.6b	(/.f64 -1/3 (/.f64 z y))
	43.6b	(.f64 (.f64 (/.f64 1 z) y) -1/3)
	23.3b	(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
▶	43.6b	(.f64 (/.f64 1 (.f64 z -3)) y)
	47.7b	(/.f64 1/3 (*.f64 y (/.f64 z t)))
▶	50.6b	(.f64 1/3 (/.f64 t (.f64 y z)))
▶	4.5b	(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
	31.5b	(/.f64 (-.f64 y (/.f64 t y)) (*.f64 z -3))

Compiler

Compiled 325 to 239 computations (26.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.3b	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))
	0.4b	(/.f64 -1/3 z)
	0.4b	(/.f64 -1/3 z)
✓	4.3b	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite51.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	205	13
2	2951	13

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

964×	`fma-def_binary64`
822×	`fma-neg_binary64`
568×	`div-sub_binary64`
359×	`times-frac_binary64`
335×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	441
1	33	441
2	76	441
3	146	441
4	288	441
5	543	441
6	1091	441
7	2073	441
8	4923	441
9	7409	441

Stop Event

1×	node limit

Counts

84 → 55

Calls

Call 1

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

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

localize3.0ms (0%)

Local error

Found 4 expressions with local error:

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

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite42.0ms (0.6%)

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	7
1	127	7
2	1679	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

simplify10.0ms (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

65 → 41

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

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	7.5b	(/.f64 t (*.f64 y z))
	0.3b	(.f64 1/3 (/.f64 t (.f64 y z)))
✓	0.3b	(.f64 1/3 (/.f64 t (.f64 y z)))
✓	7.5b	(/.f64 t (*.f64 y z))

series6.0ms (0.1%)

Counts

2 → 0

Calls

18 calls:

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

rewrite57.0ms (0.8%)

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

simplify6.0ms (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

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite47.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

736×	`pow1_binary64`
682×	`add-log-exp_binary64`
682×	`log1p-expm1-u_binary64`
682×	`expm1-log1p-u_binary64`
668×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	161	11
2	1900	11

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	216
1	10	216
2	14	216
3	17	216
4	18	216

Stop Event

1×

saturated

Counts

86 → 53

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.5b	(/.f64 -1/3 (/.f64 z y))
	0.5b	(/.f64 -1/3 (/.f64 z y))

rewrite0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval64.0ms (0.9%)

Compiler: Compiled 3200 to 1711 computations (46.5% saved)

prune49.0ms (0.7%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	269	6	275
Fresh	3	5	8
Picked	0	1	1
Done	4	4	8
Total	276	16	292

Error

Counts

292 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	47.7b	(/.f64 (*.f64 t (/.f64 1/3 z)) y)
	50.6b	(/.f64 t (.f64 (.f64 z 3) y))
	43.5b	(/.f64 (/.f64 y -3) z)
✓	15.5b	(+.f64 (/.f64 -1/3 (/.f64 z y)) x)
	15.4b	(+.f64 (*.f64 (/.f64 -1/3 z) y) x)
✓	50.5b	(*.f64 (/.f64 t y) (/.f64 1/3 z))
	34.6b	x
	43.5b	(/.f64 y (*.f64 z -3))
	4.4b	(+.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z -3)))
	47.7b	(/.f64 1/3 (*.f64 y (/.f64 z t)))
✓	50.6b	(.f64 1/3 (/.f64 t (.f64 y z)))
	43.5b	(/.f64 (/.f64 y z) -3)
	31.5b	(/.f64 (-.f64 y (/.f64 t y)) (*.f64 z -3))
✓	43.6b	(*.f64 -1/3 (/.f64 y z))
	22.9b	(+.f64 x (*.f64 t (/.f64 (/.f64 1/3 y) z)))
✓	43.6b	(/.f64 -1/3 (/.f64 z y))

Compiler

Compiled 168 to 123 computations (26.8% saved)

regimes162.0ms (2.3%)

Counts

40 → 1

Calls

Call 1

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

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

Calls

7 calls:

23.0ms	y
22.0ms	(*.f64 z 3)
22.0ms	t
22.0ms	z
20.0ms	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 409 to 231 computations (43.5% saved)

regimes219.0ms (3.1%)

Counts

31 → 3

Calls

Call 1

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

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

Calls

6 calls:

45.0ms	(*.f64 z 3)
44.0ms	y
44.0ms	z
43.0ms	(*.f64 z 3)
18.0ms	x

Results

Error	Segments	Branch
4.4b	1	`x`
3.2b	3	`y`
3.2b	3	`z`
4.4b	1	`t`
3.2b	3	`(*.f64 z 3)`
3.2b	3	`(*.f64 z 3)`

Compiler

Compiled 255 to 139 computations (45.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-2.7840037453257507e+180	-5.516931966025968e+177
0.0ms	-1.9660528164220824e+200	-1.0701217511546027e+200

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes383.0ms (5.4%)

Counts

28 → 3

Calls

Call 1

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

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

Calls

6 calls:

76.0ms	(*.f64 z 3)
66.0ms	t
66.0ms	(*.f64 z 3)
63.0ms	x
62.0ms	z

Results

Error	Segments	Branch
6.5b	5	`x`
6.1b	3	`y`
9.0b	5	`z`
9.6b	5	`t`
9.0b	5	`(*.f64 z 3)`
9.0b	5	`(*.f64 z 3)`

Compiler

Compiled 222 to 126 computations (43.2% saved)

bsearch53.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	1.5027853642709671e-5	0.001690136830606099
26.0ms	-420385767404173440.0	-729900659.6520424

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes339.0ms (4.8%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

6 calls:

63.0ms	t
62.0ms	x
58.0ms	(*.f64 z 3)
58.0ms	z
55.0ms	(*.f64 z 3)

Results

Error	Segments	Branch
6.5b	5	`x`
6.1b	3	`y`
9.0b	5	`z`
9.6b	5	`t`
9.0b	5	`(*.f64 z 3)`
9.0b	5	`(*.f64 z 3)`

Compiler

Compiled 195 to 117 computations (40% saved)

bsearch52.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	1.5027853642709671e-5	0.001690136830606099
26.0ms	-420385767404173440.0	-729900659.6520424

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes207.0ms (2.9%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

6 calls:

41.0ms	y
32.0ms	(*.f64 z 3)
32.0ms	z
32.0ms	x
32.0ms	(*.f64 z 3)

Results

Error	Segments	Branch
12.3b	3	`x`
11.7b	3	`y`
14.0b	3	`z`
14.2b	3	`t`
14.0b	3	`(*.f64 z 3)`
14.0b	3	`(*.f64 z 3)`

Compiler

Compiled 168 to 105 computations (37.5% saved)

bsearch259.0ms (3.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
131.0ms	1.7440537599151877e-180	1.1928014104092281e-175
128.0ms	-6.469543890849961e-145	-1.1143548310385246e-147

Compiler

Compiled 434 to 325 computations (25.1% saved)

regimes155.0ms (2.2%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

6 calls:

32.0ms	y
26.0ms	t
25.0ms	(*.f64 z 3)
23.0ms	(*.f64 z 3)
23.0ms	z

Results

Error	Segments	Branch
12.3b	3	`x`
11.7b	3	`y`
14.0b	3	`z`
14.2b	3	`t`
14.0b	3	`(*.f64 z 3)`
14.0b	3	`(*.f64 z 3)`

Compiler

Compiled 126 to 84 computations (33.3% saved)

bsearch268.0ms (3.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
135.0ms	1.7440537599151877e-180	1.1928014104092281e-175
133.0ms	-6.469543890849961e-145	-1.1143548310385246e-147

Compiler

Compiled 434 to 325 computations (25.1% saved)

regimes33.0ms (0.5%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	t
7.0ms	z
7.0ms	x
7.0ms	y

Results

Error	Segments	Branch
15.4b	1	`x`
15.4b	1	`y`
15.4b	1	`z`
15.4b	1	`t`

Compiler

Compiled 77 to 50 computations (35.1% saved)

regimes114.0ms (1.6%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

4 calls:

41.0ms	t
29.0ms	z
24.0ms	x
17.0ms	y

Results

Error	Segments	Branch
25.7b	3	`x`
25.6b	3	`y`
27.9b	5	`z`
30.6b	7	`t`

Compiler

Compiled 70 to 46 computations (34.3% saved)

bsearch53.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	6.848495287851678e+95	1.1081804112965852e+98
26.0ms	-5.33031095332923e+101	-1.1271027393636454e+95

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes81.0ms (1.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

27.0ms	t
22.0ms	z
18.0ms	x
13.0ms	y

Results

Error	Segments	Branch
25.7b	3	`x`
25.6b	3	`y`
27.9b	5	`z`
30.6b	7	`t`

Compiler

Compiled 45 to 32 computations (28.9% saved)

bsearch52.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	6.848495287851678e+95	1.1081804112965852e+98
26.0ms	-5.33031095332923e+101	-1.1271027393636454e+95

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes68.0ms (1%)

Accuracy

Total -36.5b remaining (-142.3%)

Threshold costs -36.5b (-142.3%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

4 calls:

24.0ms	t
18.0ms	z
14.0ms	x
11.0ms	y

Results

Error	Segments	Branch
25.7b	3	`x`
25.6b	3	`y`
27.9b	5	`z`
30.6b	7	`t`

Compiler

Compiled 35 to 26 computations (25.7% saved)

bsearch51.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	6.848495287851678e+95	1.1081804112965852e+98
26.0ms	-5.33031095332923e+101	-1.1271027393636454e+95

Compiler

Compiled 26 to 19 computations (26.9% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	351
1	95	351
2	107	351
3	115	351
4	121	351
5	123	351

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 (.f64 t 1/3) z) y))
(if (<=.f64 (.f64 z 3) -149999999999999995459968331876554248921175491318253543972362626425520272653331113301294507607059377802041268623960823612273203601552417726959077561570859816806535386600184972716772719959250693282332672) (+.f64 x (/.f64 (-.f64 y (/.f64 t y)) (.f64 z -3))) (if (<=.f64 (.f64 z 3) -2000000000000000018497092039783196889132420683315093231815042777266813011416236778616909817285004413072163754088681978287387596172436262464747751326627917425399889939413009512267776) (+.f64 x (.f64 t (/.f64 (/.f64 1/3 y) z))) (+.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z -3)))))
(if (<=.f64 y -420385767404173440) (+.f64 (.f64 (/.f64 -1/3 z) y) x) (if (<=.f64 y 2217719760993833/147573952589676412928) (+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x) (+.f64 (.f64 (/.f64 -1/3 z) y) x)))
(if (<=.f64 y -420385767404173440) (+.f64 (.f64 (/.f64 -1/3 z) y) x) (if (<=.f64 y 2217719760993833/147573952589676412928) (+.f64 x (.f64 t (/.f64 (/.f64 1/3 y) z))) (+.f64 (*.f64 (/.f64 -1/3 z) y) x)))
(if (<=.f64 y -64496428158571264/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (+.f64 (.f64 (/.f64 -1/3 z) y) x) (if (<=.f64 y 4087946793389487/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (/.f64 1/3 (.f64 y (/.f64 z t))) (+.f64 (*.f64 (/.f64 -1/3 z) y) x)))
(if (<=.f64 y -64496428158571264/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (+.f64 (.f64 (/.f64 -1/3 z) y) x) (if (<=.f64 y 4087946793389487/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (/.f64 (.f64 t (/.f64 1/3 z)) y) (+.f64 (*.f64 (/.f64 -1/3 z) y) x)))
(+.f64 (*.f64 (/.f64 -1/3 z) y) x)
(if (<=.f64 y -533031095332922985024793935591851189359731382347773386883238615091598714527235407394147780429627785216) (/.f64 (/.f64 y z) -3) (if (<=.f64 y 684849528785167777078879076202511222576785188359690416280274474237613007084243604736561595285504) x (/.f64 (*.f64 -1/3 y) z)))
(if (<=.f64 y -533031095332922985024793935591851189359731382347773386883238615091598714527235407394147780429627785216) (/.f64 (/.f64 y z) -3) (if (<=.f64 y 684849528785167777078879076202511222576785188359690416280274474237613007084243604736561595285504) x (/.f64 (/.f64 y -3) z)))
(if (<=.f64 y -533031095332922985024793935591851189359731382347773386883238615091598714527235407394147780429627785216) (/.f64 (/.f64 y -3) z) (if (<=.f64 y 684849528785167777078879076202511222576785188359690416280274474237613007084243604736561595285504) x (/.f64 (/.f64 y -3) z)))
x

Outputs
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 (.f64 t 1/3) z) y))
(if (<=.f64 (.f64 z 3) -149999999999999995459968331876554248921175491318253543972362626425520272653331113301294507607059377802041268623960823612273203601552417726959077561570859816806535386600184972716772719959250693282332672) (+.f64 x (/.f64 (-.f64 y (/.f64 t y)) (.f64 z -3))) (if (<=.f64 (.f64 z 3) -2000000000000000018497092039783196889132420683315093231815042777266813011416236778616909817285004413072163754088681978287387596172436262464747751326627917425399889939413009512267776) (+.f64 x (.f64 t (/.f64 (/.f64 1/3 y) z))) (+.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z -3)))))
(if (<=.f64 y -420385767404173440) (+.f64 (.f64 (/.f64 -1/3 z) y) x) (if (<=.f64 y 2217719760993833/147573952589676412928) (+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x) (+.f64 (.f64 (/.f64 -1/3 z) y) x)))
(if (<=.f64 y -420385767404173440) (+.f64 x (.f64 y (/.f64 -1/3 z))) (if (<=.f64 y 2217719760993833/147573952589676412928) (+.f64 x (.f64 1/3 (/.f64 t (.f64 y z)))) (+.f64 x (.f64 y (/.f64 -1/3 z)))))
(if (<=.f64 y -420385767404173440) (+.f64 (.f64 (/.f64 -1/3 z) y) x) (if (<=.f64 y 2217719760993833/147573952589676412928) (+.f64 x (.f64 t (/.f64 (/.f64 1/3 y) z))) (+.f64 (*.f64 (/.f64 -1/3 z) y) x)))
(if (<=.f64 y -420385767404173440) (+.f64 x (.f64 y (/.f64 -1/3 z))) (if (<=.f64 y 2217719760993833/147573952589676412928) (+.f64 x (.f64 t (/.f64 (/.f64 1/3 y) z))) (+.f64 x (*.f64 y (/.f64 -1/3 z)))))
(if (<=.f64 y -64496428158571264/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (+.f64 (.f64 (/.f64 -1/3 z) y) x) (if (<=.f64 y 4087946793389487/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (/.f64 1/3 (.f64 y (/.f64 z t))) (+.f64 (*.f64 (/.f64 -1/3 z) y) x)))
(if (<=.f64 y -251939172494419/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736) (+.f64 x (.f64 y (/.f64 -1/3 z))) (if (<=.f64 y 4087946793389487/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (/.f64 1/3 (.f64 y (/.f64 z t))) (+.f64 x (*.f64 y (/.f64 -1/3 z)))))
(if (<=.f64 y -64496428158571264/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (+.f64 (.f64 (/.f64 -1/3 z) y) x) (if (<=.f64 y 4087946793389487/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (/.f64 (.f64 t (/.f64 1/3 z)) y) (+.f64 (*.f64 (/.f64 -1/3 z) y) x)))
(if (<=.f64 y -251939172494419/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736) (+.f64 x (.f64 y (/.f64 -1/3 z))) (if (<=.f64 y 4087946793389487/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (/.f64 (.f64 t (/.f64 1/3 z)) y) (+.f64 x (*.f64 y (/.f64 -1/3 z)))))
(+.f64 (*.f64 (/.f64 -1/3 z) y) x)
(+.f64 x (*.f64 y (/.f64 -1/3 z)))
(if (<=.f64 y -533031095332922985024793935591851189359731382347773386883238615091598714527235407394147780429627785216) (/.f64 (/.f64 y z) -3) (if (<=.f64 y 684849528785167777078879076202511222576785188359690416280274474237613007084243604736561595285504) x (/.f64 (*.f64 -1/3 y) z)))
(if (<=.f64 y -533031095332922985024793935591851189359731382347773386883238615091598714527235407394147780429627785216) (/.f64 (/.f64 y z) -3) (if (<=.f64 y 684849528785167777078879076202511222576785188359690416280274474237613007084243604736561595285504) x (/.f64 (*.f64 y -1/3) z)))
(if (<=.f64 y -533031095332922985024793935591851189359731382347773386883238615091598714527235407394147780429627785216) (/.f64 (/.f64 y z) -3) (if (<=.f64 y 684849528785167777078879076202511222576785188359690416280274474237613007084243604736561595285504) x (/.f64 (/.f64 y -3) z)))
(if (<=.f64 y -533031095332922985024793935591851189359731382347773386883238615091598714527235407394147780429627785216) (/.f64 (/.f64 y -3) z) (if (<=.f64 y 684849528785167777078879076202511222576785188359690416280274474237613007084243604736561595285504) x (/.f64 (/.f64 y -3) z)))
x

end127.0ms (1.8%)

Stop Event

1×

fuel

Compiler

Compiled 534 to 343 computations (35.8% saved)