Details

analyze433.0ms (3%)

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)

sample2.6s (17.9%)

Results

1.8s	8256×	body	256	valid
788.0ms	3256×	body	256	invalid

preprocess79.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify114.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.3b	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
▶	2.4b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))

Compiler

Compiled 33 to 22 computations (33.3% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
✓	0.2b	(/.f64 y (*.f64 z 3))
✓	0.3b	(.f64 (.f64 z 3) y)
✓	4.9b	(/.f64 t (.f64 (.f64 z 3) y))

Compiler

Compiled 51 to 30 computations (41.2% saved)

series25.0ms (0.2%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
2.0ms	z	@	0	(/.f64 y (*.f64 z 3))
2.0ms	t	@	inf	(/.f64 t (.f64 (.f64 z 3) y))
2.0ms	y	@	0	(/.f64 t (.f64 (.f64 z 3) y))
1.0ms	t	@	0	(/.f64 t (.f64 (.f64 z 3) y))

rewrite148.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`log-prod_binary64`
672×	`fma-def_binary64`
394×	`fma-neg_binary64`
294×	`log-div_binary64`
264×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	278	44
2	4589	44

Stop Event

1×	node limit

Counts

4 → 208

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 1/3 z) (/.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (/.f64 (/.f64 1/3 z) y))) (cbrt.f64 (pow.f64 (exp.f64 t) (/.f64 (/.f64 1/3 z) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (/.f64 (/.f64 1/3 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (/.f64 (/.f64 1/3 z) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (/.f64 (/.f64 1/3 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 1/3 z) (/.f64 t 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 (/.f64 1/3 z) (/.f64 t y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 1/3 z) (/.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 1/3 z) (/.f64 t y))) (pow.f64 (cbrt.f64 (.f64 (/.f64 1/3 z) (/.f64 t y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/3 z) (/.f64 t y))) 2) (cbrt.f64 (.f64 (/.f64 1/3 z) (/.f64 t 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 (/.f64 1/3 z) (/.f64 t y))) (sqrt.f64 (.f64 (/.f64 1/3 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 t) (.f64 (sqrt.f64 t) (/.f64 (/.f64 1/3 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 t) (/.f64 1 (.f64 y (.f64 z -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/3 z) (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/3 z) y) t)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 t (/.f64 1/3 z)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 z) (/.f64 t (.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) z) (/.f64 (cbrt.f64 t) (.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 t) z) (/.f64 (sqrt.f64 t) (.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (.f64 z 3)) (/.f64 (cbrt.f64 t) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 t) (.f64 z 3)) (/.f64 (sqrt.f64 t) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 t) y) (/.f64 (sqrt.f64 t) (.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 y) (.f64 t (/.f64 1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) y) (/.f64 (cbrt.f64 t) (.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) 1) (/.f64 (cbrt.f64 t) (.f64 z (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 t) 1) (/.f64 (sqrt.f64 t) (.f64 z (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 z (.f64 3 y))) 2)) (/.f64 t (cbrt.f64 (.f64 z (.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 (.f64 z (.f64 3 y))) 2)) (cbrt.f64 (.f64 (/.f64 1/3 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 (.f64 z (.f64 3 y))) 2)) (/.f64 (sqrt.f64 t) (cbrt.f64 (.f64 z (.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 z (.f64 3 y)))) (/.f64 t (sqrt.f64 (.f64 z (.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (sqrt.f64 (.f64 z (.f64 3 y)))) (/.f64 (cbrt.f64 t) (sqrt.f64 (.f64 z (.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 1/3 z) (/.f64 t y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 1/3 z) (/.f64 t y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 1/3 z) (/.f64 t y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 1/3 z) (/.f64 t y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (/.f64 t (.f64 3 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 t (.f64 y (.f64 z -3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 1/3 z) (/.f64 t 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 (/.f64 1/3 z) (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 1/3 z) (/.f64 t y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 1/3 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 1/3 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 1/3 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 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simplify128.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

860×	`fma-neg_binary64`
629×	`div-sub_binary64`
447×	`cancel-sign-sub-inv_binary64`
426×	`times-frac_binary64`
418×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	1405
1	94	1333
2	204	1333
3	426	1267
4	999	1267
5	2695	1267
6	6153	1267
7	7783	1267

Stop Event

1×	node limit

Counts

340 → 226

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 -1/3 z)
✓	3.9b	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)

Compiler

Compiled 30 to 12 computations (60% saved)

series36.0ms (0.2%)

Counts

2 → 48

Calls

15 calls:

Time	Variable		Point	Expression
29.0ms	z	@	0	(/.f64 -1/3 z)
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)

rewrite221.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

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

Outputs

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

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

simplify134.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

105 → 71

Calls

Call 1

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

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

eval168.0ms (1.2%)

Compiler: Compiled 6123 to 3321 computations (45.8% saved)

prune68.0ms (0.5%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	277	20	297
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	279	20	299

Error

Counts

299 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.9b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 (/.f64 1/3 z) y) t))
	26.4b	(*.f64 (-.f64 (/.f64 t y) y) (/.f64 1/3 z))
	39.1b	(/.f64 (*.f64 -1/3 y) z)
▶	2.5b	(+.f64 (-.f64 x (pow.f64 (.f64 3 (/.f64 z y)) -1)) (/.f64 t (.f64 (*.f64 z 3) y)))
	2.5b	(+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
▶	39.1b	(*.f64 -1/3 (/.f64 y z))
	3.1b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) (/.f64 (/.f64 1/3 z) y))))
▶	26.4b	(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
	35.9b	(.f64 (-.f64 (pow.f64 (-.f64 x (.f64 (/.f64 y z) 1/3)) 2) (pow.f64 (.f64 (/.f64 1/3 z) (/.f64 t y)) 2)) (/.f64 1 (-.f64 x (fma.f64 y (/.f64 1/3 z) (.f64 (/.f64 1/3 z) (/.f64 t y))))))
	25.1b	(-.f64 (.f64 1/3 (/.f64 t (.f64 y z))) (*.f64 1/3 (/.f64 y z)))
	26.6b	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
	4.2b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 z) (/.f64 t (*.f64 3 y))))
	39.1b	(*.f64 y (/.f64 -1/3 z))
	16.8b	(fma.f64 y (/.f64 -1/3 z) x)
	26.4b	(/.f64 (-.f64 (.f64 1/3 (/.f64 t y)) (.f64 1/3 y)) z)
	48.6b	(/.f64 t (.f64 z (.f64 y 3)))
	48.7b	(.f64 1/3 (/.f64 t (.f64 y z)))
	40.3b	x
▶	16.7b	(-.f64 x (*.f64 1/3 (/.f64 y z)))
	4.3b	(+.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x)

Compiler

Compiled 611 to 432 computations (29.3% saved)

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (.f64 z 3) y)
✓	0.3b	(*.f64 3 (/.f64 z y))
✓	0.5b	(pow.f64 (*.f64 3 (/.f64 z y)) -1)
	4.9b	(/.f64 t (.f64 (.f64 z 3) y))

Compiler

Compiled 66 to 37 computations (43.9% saved)

series10.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite173.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

833×	`pow1_binary64`
777×	`add-log-exp_binary64`
777×	`log1p-expm1-u_binary64`
777×	`expm1-log1p-u_binary64`
760×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	173	14
2	2125	14

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

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

simplify18.0ms (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

68 → 44

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 8 computations (46.7% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify10.0ms (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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 11 computations (52.2% saved)

series7.0ms (0%)

Counts

2 → 36

Calls

15 calls:

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

rewrite111.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

642×	`prod-diff_binary64`
460×	`log-prod_binary64`
353×	`exp-prod_binary64`
259×	`pow-prod-down_binary64`
243×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	182	17
2	2552	15

Stop Event

1×	node limit

Counts

2 → 178

Calls

Call 1

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

Outputs

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

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

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

214 → 182

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
✓	0.5b	(.f64 1/3 (/.f64 t (.f64 y z)))
✓	4.6b	(/.f64 t (*.f64 y z))

Compiler

Compiled 33 to 12 computations (63.6% saved)

series9.0ms (0.1%)

Counts

3 → 12

Calls

30 calls:

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

rewrite84.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`prod-diff_binary64`
586×	`log-prod_binary64`
295×	`pow2_binary64`
261×	`fma-def_binary64`
207×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	219	28
2	3084	28

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

Outputs

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	15	57
2	33	57
3	59	57
4	83	57
5	85	57

Stop Event

1×

saturated

Counts

149 → 140

Calls

Call 1

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

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

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1/3 z) y)
	0.2b	(/.f64 y (*.f64 z 3))
✓	0.4b	(/.f64 1/3 z)
✓	5.3b	(*.f64 (/.f64 (/.f64 1/3 z) y) t)

Compiler

Compiled 55 to 33 computations (40% saved)

series6.0ms (0%)

Counts

3 → 60

Calls

18 calls:

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

rewrite77.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	175	21
2	2366	21

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

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

Outputs

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

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

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

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

144 → 88

Calls

Call 1

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

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

eval243.0ms (1.7%)

Compiler: Compiled 10782 to 5960 computations (44.7% saved)

prune134.0ms (0.9%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	571	11	582
Fresh	7	8	15
Picked	0	1	1
Done	3	1	4
Total	581	21	602

Error

Counts

602 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	39.1b	(/.f64 -1/3 (/.f64 z y))
▶	28.1b	(+.f64 (/.f64 (/.f64 (*.f64 t 1/3) y) z) x)
	4.2b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 z) (/.f64 t (*.f64 3 y))))
✓	2.9b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 (/.f64 1/3 z) y) t))
	26.4b	(*.f64 (-.f64 (/.f64 t y) y) (/.f64 1/3 z))
	48.6b	(/.f64 t (.f64 z (.f64 y 3)))
▶	2.5b	(+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (.f64 (.f64 z 3) y)))
	16.8b	(-.f64 x (/.f64 1 (/.f64 z (*.f64 1/3 y))))
	48.7b	(.f64 1/3 (/.f64 t (.f64 y z)))
▶	16.7b	(-.f64 x (/.f64 1/3 (/.f64 z y)))
	28.1b	(+.f64 (/.f64 (*.f64 (/.f64 t y) 1/3) z) x)
	40.3b	x
	25.1b	(-.f64 (.f64 1/3 (/.f64 t (.f64 y z))) (*.f64 1/3 (/.f64 y z)))
▶	26.6b	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
	39.1b	(/.f64 1 (/.f64 z (*.f64 -1/3 y)))
▶	39.1b	(*.f64 y (/.f64 -1/3 z))
✓	39.1b	(*.f64 -1/3 (/.f64 y z))
	28.1b	(+.f64 (/.f64 1/3 (/.f64 z (/.f64 t y))) x)
	48.7b	(/.f64 (.f64 1/3 t) (.f64 y z))
	48.4b	(+.f64 (/.f64 (/.f64 (.f64 t 1/3) (sqrt.f64 (.f64 y z))) (sqrt.f64 (*.f64 y z))) x)
	39.1b	(/.f64 (*.f64 -1/3 y) z)

Compiler

Compiled 505 to 360 computations (28.7% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (.f64 (.f64 z 3) y)))
✓	0.2b	(/.f64 (/.f64 y z) 3)
	0.3b	(.f64 (.f64 z 3) y)
	4.9b	(/.f64 t (.f64 (.f64 z 3) y))

Compiler

Compiled 54 to 28 computations (48.1% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite100.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

678×	`fma-def_binary64`
400×	`fma-neg_binary64`
335×	`log-div_binary64`
286×	`expm1-udef_binary64`
286×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	306	29
2	4949	27

Stop Event

1×	node limit

Counts

2 → 142

Calls

Call 1

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

Outputs

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

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

simplify104.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

860×	`fma-neg_binary64`
628×	`div-sub_binary64`
447×	`cancel-sign-sub-inv_binary64`
421×	`times-frac_binary64`
418×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	877
1	89	805
2	193	805
3	412	739
4	984	739
5	2640	739
6	5970	739
7	7545	739

Stop Event

1×	node limit

Counts

214 → 160

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

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

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`pow1_binary64`
573×	`add-log-exp_binary64`
573×	`log1p-expm1-u_binary64`
573×	`expm1-log1p-u_binary64`
562×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1558	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

44 → 21

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 11 computations (52.2% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite84.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

627×	`prod-diff_binary64`
469×	`log-prod_binary64`
261×	`pow-prod-down_binary64`
250×	`pow2_binary64`
210×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	185	17
2	2670	15

Stop Event

1×	node limit

Counts

2 → 181

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (/.f64 y z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (/.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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)) 2) 1/2)))) (#(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 1/27 (pow.f64 (/.f64 y z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z y) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 z y) 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/3 (/.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/27 (pow.f64 (/.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 (/.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 (/.f64 y z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 (/.f64 y z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/3 (/.f64 y z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) 3)) -1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 -1/3 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 -1/3 (/.f64 y z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/3 (/.f64 y z) x) (fma.f64 (neg.f64 (/.f64 y z)) 1/3 (*.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/3 (/.f64 y z) x) (fma.f64 (*.f64 -1/3 (/.f64 y z)) 1 (*.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/3 (/.f64 y z) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/3 (/.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 y z))) 2) (*.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/3 (/.f64 y z) x) (+.f64 (*.f64 -1/3 (/.f64 y z)) (*.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/3 (/.f64 y z) x) (fma.f64 (neg.f64 y) (/.f64 1/3 z) (*.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/3 (/.f64 y z) x) (fma.f64 (neg.f64 (/.f64 1/3 z)) y (*.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/3 (/.f64 y z) x) (fma.f64 -1 (*.f64 1/3 (/.f64 y z)) (*.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/3 (/.f64 y z) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 y z))) 2)) (cbrt.f64 (*.f64 1/3 (/.f64 y z))) (*.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/3 (/.f64 y z) x) (fma.f64 -1/3 (/.f64 y z) (*.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (/.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -1/3 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (/.f64 1 (/.f64 (neg.f64 z) y)) -1/3))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 (neg.f64 z) y))) -1/3 (*.f64 (/.f64 1 (/.f64 (neg.f64 z) y)) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (/.f64 1 (/.f64 (neg.f64 z) y)) -1/3))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 (neg.f64 z) y))) -1/3 (*.f64 (/.f64 1 (/.f64 (neg.f64 z) y)) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (/.f64 1 (/.f64 (neg.f64 z) y)) -1/3))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 (neg.f64 z) y))) -1/3 (*.f64 (/.f64 1 (/.f64 (neg.f64 z) y)) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (/.f64 1 (/.f64 (neg.f64 z) y)) -1/3))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 (neg.f64 z) y))) -1/3 (*.f64 (/.f64 1 (/.f64 (neg.f64 z) y)) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (/.f64 1 (/.f64 (neg.f64 z) y)) -1/3))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 (neg.f64 z) y))) -1/3 (*.f64 (/.f64 1 (/.f64 (neg.f64 z) y)) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (neg.f64 y) (/.f64 1/3 (neg.f64 z))))) (fma.f64 (neg.f64 (neg.f64 y)) (/.f64 1/3 (neg.f64 z)) (*.f64 (neg.f64 y) (/.f64 1/3 (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (neg.f64 y) (/.f64 1/3 (neg.f64 z))))) (fma.f64 (neg.f64 (neg.f64 y)) (/.f64 1/3 (neg.f64 z)) (*.f64 (neg.f64 y) (/.f64 1/3 (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (neg.f64 y) (/.f64 1/3 (neg.f64 z))))) (fma.f64 (neg.f64 (neg.f64 y)) (/.f64 1/3 (neg.f64 z)) (*.f64 (neg.f64 y) (/.f64 1/3 (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (neg.f64 y) (/.f64 1/3 (neg.f64 z))))) (fma.f64 (neg.f64 (neg.f64 y)) (/.f64 1/3 (neg.f64 z)) (*.f64 (neg.f64 y) (/.f64 1/3 (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (neg.f64 y) (/.f64 1/3 (neg.f64 z))))) (fma.f64 (neg.f64 (neg.f64 y)) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (*.f64 1/27 (pow.f64 (/.f64 y z) 3))) (/.f64 1 (fma.f64 (*.f64 1/3 (/.f64 y z)) (fma.f64 1/3 (/.f64 y z) x) (*.f64 x x))) (fma.f64 (neg.f64 (/.f64 y z)) 1/3 (*.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (*.f64 1/27 (pow.f64 (/.f64 y z) 3))) (/.f64 1 (fma.f64 (*.f64 1/3 (/.f64 y z)) (fma.f64 1/3 (/.f64 y z) x) (*.f64 x x))) (fma.f64 (*.f64 -1/3 (/.f64 y z)) 1 (*.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (*.f64 1/27 (pow.f64 (/.f64 y z) 3))) (/.f64 1 (fma.f64 (*.f64 1/3 (/.f64 y z)) (fma.f64 1/3 (/.f64 y z) x) (*.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/3 (/.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 y z))) 2) (*.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (*.f64 1/27 (pow.f64 (/.f64 y z) 3))) (/.f64 1 (fma.f64 (*.f64 1/3 (/.f64 y z)) (fma.f64 1/3 (/.f64 y z) x) (*.f64 x x))) (+.f64 (*.f64 -1/3 (/.f64 y z)) (*.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (*.f64 1/27 (pow.f64 (/.f64 y z) 3))) (/.f64 1 (fma.f64 (*.f64 1/3 (/.f64 y z)) (fma.f64 1/3 (/.f64 y z) x) (*.f64 x x))) (fma.f64 (neg.f64 y) (/.f64 1/3 z) (*.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 1/3 (/.f64 y z)) 2)) (/.f64 1 (fma.f64 1/3 (/.f64 y z) x)) (fma.f64 (neg.f64 (/.f64 y z)) 1/3 (*.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 1/3 (/.f64 y z)) 2)) (/.f64 1 (fma.f64 1/3 (/.f64 y z) x)) (fma.f64 (*.f64 -1/3 (/.f64 y z)) 1 (*.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 1/3 (/.f64 y z)) 2)) (/.f64 1 (fma.f64 1/3 (/.f64 y z) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/3 (/.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 y z))) 2) (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 1/3 (/.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 1/3 (/.f64 y z)))) (fma.f64 (neg.f64 (/.f64 y z)) 1/3 (*.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 1/3 (/.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 1/3 (/.f64 y z)))) (fma.f64 (*.f64 -1/3 (/.f64 y z)) 1 (*.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 1/3 (/.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 1/3 (/.f64 y z)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/3 (/.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 y z))) 2) (*.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 1/3 (/.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 1/3 (/.f64 y z)))) (+.f64 (*.f64 -1/3 (/.f64 y z)) (*.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 1/3 (/.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 1/3 (/.f64 y z)))) (fma.f64 (neg.f64 y) (/.f64 1/3 z) (*.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 y z))) 2)) (cbrt.f64 (*.f64 1/3 (/.f64 y z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 1/3 z)) y x)))))

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	417
1	18	417
2	26	417
3	34	417
4	37	417
5	38	417

Stop Event

1×

saturated

Counts

241 → 186

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.6b	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
✓	3.8b	(/.f64 (-.f64 y (/.f64 t y)) z)

Compiler

Compiled 32 to 10 computations (68.8% saved)

series10.0ms (0.1%)

Counts

2 → 48

Calls

18 calls:

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

rewrite127.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 238

Calls

Call 1

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

Outputs

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

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

simplify141.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 9 (0.0ms)

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

Stop Event

1×	node limit

Counts

286 → 249

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (/.f64 (*.f64 t 1/3) y) z) x)
✓	0.2b	(/.f64 (*.f64 t 1/3) y)
✓	0.4b	(*.f64 t 1/3)
✓	4.9b	(/.f64 (/.f64 (*.f64 t 1/3) y) z)

Compiler

Compiled 33 to 19 computations (42.4% saved)

series11.0ms (0.1%)

Counts

4 → 120

Calls

30 calls:

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

rewrite93.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

826×	`prod-diff_binary64`
620×	`log-prod_binary64`
282×	`fma-def_binary64`
214×	`pow1/3_binary64`
211×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	224	34
2	3328	32

Stop Event

1×	node limit

Counts

4 → 179

Calls

Call 1

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

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

simplify42.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	1029
1	22	1029
2	42	1029
3	73	1029
4	89	1029
5	90	1029

Stop Event

1×

saturated

Counts

299 → 186

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

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

eval345.0ms (2.4%)

Compiler: Compiled 21514 to 10173 computations (52.7% saved)

prune163.0ms (1.1%)

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	888	7	895
Fresh	6	8	14
Picked	0	1	1
Done	1	5	6
Total	895	21	916

Error

Counts

916 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.1b	(/.f64 -1/3 (/.f64 z y))
✓	28.1b	(+.f64 (/.f64 (/.f64 (*.f64 t 1/3) y) z) x)
✓	39.1b	(*.f64 y (/.f64 -1/3 z))
	26.3b	(/.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3) z)
▶	28.1b	(+.f64 (/.f64 1/3 (/.f64 z (/.f64 t y))) x)
	39.1b	(.f64 y (.f64 (/.f64 1 z) -1/3))
	39.1b	(/.f64 (*.f64 y -1/3) z)
	49.2b	(.f64 t (/.f64 1/3 (.f64 y z)))
	39.0b	(/.f64 y (*.f64 z -3))
	48.6b	(/.f64 t (.f64 z (.f64 y 3)))
✓	2.5b	(+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (.f64 (.f64 z 3) y)))
▶	16.8b	(-.f64 x (/.f64 1 (/.f64 z (*.f64 1/3 y))))
▶	48.7b	(.f64 1/3 (/.f64 t (.f64 y z)))
✓	16.7b	(-.f64 x (/.f64 1/3 (/.f64 z y)))
✓	26.6b	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
▶	47.5b	(*.f64 (/.f64 t z) (/.f64 1/3 y))
	26.4b	(/.f64 1 (/.f64 z (*.f64 (-.f64 y (/.f64 t y)) -1/3)))
✓	39.1b	(*.f64 -1/3 (/.f64 y z))
	48.7b	(/.f64 (.f64 1/3 t) (.f64 y z))
	40.3b	x
	48.4b	(+.f64 (/.f64 (/.f64 (.f64 t 1/3) (sqrt.f64 (.f64 y z))) (sqrt.f64 (*.f64 y z))) x)

Compiler

Compiled 411 to 297 computations (27.7% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 1 (/.f64 z (*.f64 1/3 y))))
✓	0.2b	(/.f64 z (*.f64 1/3 y))
✓	0.4b	(*.f64 1/3 y)
✓	0.5b	(/.f64 1 (/.f64 z (*.f64 1/3 y)))

Compiler

Compiled 33 to 22 computations (33.3% saved)

series7.0ms (0%)

Counts

4 → 84

Calls

24 calls:

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

rewrite127.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`prod-diff_binary64`
542×	`log-prod_binary64`
280×	`pow2_binary64`
221×	`fma-def_binary64`
207×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	219	28
2	3020	28

Stop Event

1×	node limit

Counts

4 → 331

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/3 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 1/3 (/.f64 y z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 1/3 (/.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 1/3 (/.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 1/3 (/.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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 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))) (cbrt.f64 (pow.f64 (.f64 3 (/.f64 z y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 3 (/.f64 z y)) -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 (neg.f64 (.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 z) (.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 3 (/.f64 z y))) -2) (cbrt.f64 (.f64 1/3 (/.f64 y z))))))) (#(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 (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 (pow.f64 z -1/2) (/.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 3 (/.f64 z 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 3 (/.f64 z y)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 3 (/.f64 z y)) 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 (cbrt.f64 (.f64 3 (/.f64 z y))) -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 (sqrt.f64 (.f64 3 (/.f64 z y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 3 (/.f64 z y)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (.f64 1/3 y) 3) (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (.f64 3 (/.f64 z y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (.f64 1/3 y)) (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 3 (/.f64 z y)) -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 log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 3 (/.f64 z y)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 1/3 y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/3 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/3 (/.f64 y z))))))) (#(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 (log.f64 (*.f64 1/3 (/.f64 y z))) 1))))))
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simplify34.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
6×	`associate-/l*_binary64`
4×	`fma-def_binary64`
3×	`associate-*r/_binary64`
3×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	585
1	24	585
2	34	585
3	46	585
4	50	585
5	51	585

Stop Event

1×

saturated

Counts

415 → 336

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 8 computations (46.7% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

50 → 26

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.5b	(.f64 1/3 (/.f64 t (.f64 y z)))
	4.6b	(/.f64 t (*.f64 y z))

Compiler

Compiled 23 to 9 computations (60.9% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1/3 y)
✓	4.1b	(*.f64 (/.f64 t z) (/.f64 1/3 y))

Compiler

Compiled 21 to 11 computations (47.6% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`unpow-prod-down_binary64`
467×	`log-prod_binary64`
347×	`exp-prod_binary64`
303×	`pow-prod-down_binary64`
239×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	178	14
2	2454	14

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs

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

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

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

150 → 116

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1/3 (/.f64 z (/.f64 t y))) x)
✓	0.6b	(/.f64 1/3 (/.f64 z (/.f64 t y)))
✓	4.9b	(/.f64 z (/.f64 t y))

Compiler

Compiled 33 to 12 computations (63.6% saved)

series11.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

865×	`prod-diff_binary64`
629×	`log-prod_binary64`
247×	`fma-def_binary64`
214×	`expm1-udef_binary64`
214×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	231	28
2	3459	28

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

Outputs

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

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

simplify40.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64`
8×	`*-commutative_binary64`
8×	`associate-*r/_binary64`
8×	`associate-/r/_binary64`
8×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	1065
1	21	1065
2	41	1065
3	67	1065
4	90	1065
5	93	1065

Stop Event

1×

saturated

Counts

257 → 143

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

Outputs
(/.f64 (*.f64 y z) t)
(/.f64 y (/.f64 t z))
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eval253.0ms (1.7%)

Compiler: Compiled 12430 to 7237 computations (41.8% saved)

prune206.0ms (1.4%)

Pruning

19 alts after pruning (10 fresh and 9 done)

	Pruned	Kept	Total
New	693	5	698
Fresh	5	5	10
Picked	0	1	1
Done	2	8	10
Total	700	19	719

Error

Counts

719 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	39.1b	(/.f64 -1/3 (/.f64 z y))
✓	28.1b	(+.f64 (/.f64 (/.f64 (*.f64 t 1/3) y) z) x)
✓	39.1b	(*.f64 y (/.f64 -1/3 z))
	26.3b	(/.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3) z)
	47.5b	(/.f64 1/3 (*.f64 (/.f64 z t) y))
	49.9b	(/.f64 1/3 (/.f64 z (/.f64 t y)))
✓	39.1b	(*.f64 -1/3 (/.f64 y z))
	47.5b	(/.f64 (/.f64 t z) (/.f64 y 1/3))
✓	28.1b	(+.f64 (/.f64 1/3 (/.f64 z (/.f64 t y))) x)
	39.1b	(.f64 y (.f64 (/.f64 1 z) -1/3))
	39.1b	(/.f64 (*.f64 y -1/3) z)
✓	26.6b	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
✓	47.5b	(*.f64 (/.f64 t z) (/.f64 1/3 y))
	48.7b	(/.f64 t (/.f64 z (/.f64 1/3 y)))
	39.0b	(/.f64 y (*.f64 z -3))
	49.9b	(/.f64 (/.f64 (*.f64 t 1/3) y) z)
✓	16.8b	(-.f64 x (/.f64 1 (/.f64 z (*.f64 1/3 y))))
✓	16.7b	(-.f64 x (/.f64 1/3 (/.f64 z y)))
	40.3b	x

Compiler

Compiled 203 to 150 computations (26.1% saved)

regimes525.0ms (3.6%)

Counts

45 → 3

Calls

Call 1

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

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

Calls

7 calls:

107.0ms	t
100.0ms	z
94.0ms	(*.f64 z 3)
75.0ms	(*.f64 z 3)
74.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))

Results

Error	Segments	Branch
2.4b	1	`x`
2.4b	1	`y`
0.4b	3	`z`
0.4b	3	`t`
1.3b	2	`(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))`
0.4b	3	`(*.f64 z 3)`
0.4b	3	`(*.f64 z 3)`

Compiler

Compiled 493 to 275 computations (44.2% saved)

bsearch47.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	2.5251636914069043e+59	4.3041369540980335e+60
25.0ms	-1.8314729472812219e+22	-118353302380113280.0

Compiler

Compiled 70 to 51 computations (27.1% saved)

regimes373.0ms (2.6%)

Counts

41 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

79.0ms	(*.f64 z 3)
74.0ms	(*.f64 z 3)
62.0ms	z
59.0ms	t
42.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))

Results

Error	Segments	Branch
2.4b	1	`x`
2.4b	1	`y`
0.4b	3	`z`
0.4b	3	`t`
1.3b	2	`(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))`
0.4b	3	`(*.f64 z 3)`
0.4b	3	`(*.f64 z 3)`

Compiler

Compiled 404 to 225 computations (44.3% saved)

bsearch47.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	2.5251636914069043e+59	4.3041369540980335e+60
24.0ms	-1.8314729472812219e+22	-118353302380113280.0

Compiler

Compiled 68 to 49 computations (27.9% saved)

regimes328.0ms (2.3%)

Counts

38 → 3

Calls

Call 1

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

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

Calls

7 calls:

61.0ms	(*.f64 z 3)
58.0ms	t
58.0ms	(*.f64 z 3)
58.0ms	z
39.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))

Results

Error	Segments	Branch
2.4b	1	`x`
2.4b	1	`y`
0.5b	3	`z`
0.5b	3	`t`
1.3b	2	`(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))`
0.5b	3	`(*.f64 z 3)`
0.5b	3	`(*.f64 z 3)`

Compiler

Compiled 371 to 208 computations (43.9% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.789198636239979e-42	8.949806191711645e-39
0.0ms	-9.121393032894596e-60	-9.091060850671768e-62

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes223.0ms (1.5%)

Counts

36 → 3

Calls

Call 1

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

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

Calls

4 calls:

89.0ms	z
59.0ms	t
32.0ms	y
30.0ms	x

Results

Error	Segments	Branch
2.5b	1	`x`
2.5b	1	`y`
0.5b	3	`z`
0.5b	3	`t`

Compiler

Compiled 306 to 163 computations (46.7% saved)

bsearch28.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	2.983268730570548e-39	1.320199278845567e-32
13.0ms	-3.040464344298199e-60	-3.030353616890589e-62

Compiler

Compiled 98 to 69 computations (29.6% saved)

regimes150.0ms (1%)

Counts

35 → 3

Calls

Call 1

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

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

Calls

4 calls:

50.0ms	z
49.0ms	t
22.0ms	x
20.0ms	y

Results

Error	Segments	Branch
2.5b	1	`x`
2.5b	1	`y`
0.5b	3	`z`
0.5b	3	`t`

Compiler

Compiled 291 to 154 computations (47.1% saved)

bsearch31.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	1.1855899174181205e-27	1.1497822540962617e-24
13.0ms	-3.040464344298199e-60	-3.030353616890589e-62

Compiler

Compiled 98 to 69 computations (29.6% saved)

regimes149.0ms (1%)

Counts

34 → 3

Calls

Call 1

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

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

Calls

4 calls:

52.0ms	y
49.0ms	t
19.0ms	x
18.0ms	z

Results

Error	Segments	Branch
4.3b	1	`x`
2.1b	3	`y`
4.3b	1	`z`
3.1b	2	`t`

Compiler

Compiled 276 to 146 computations (47.1% saved)

bsearch30.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	4.987188556751195e-28	2.9804650138901365e-14
7.0ms	2.6681474224435464e-274	2.13053397046894e-272

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes262.0ms (1.8%)

Counts

32 → 3

Calls

Call 1

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

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

Calls

4 calls:

77.0ms	t
68.0ms	x
62.0ms	z
43.0ms	y

Results

Error	Segments	Branch
10.0b	3	`x`
5.7b	3	`y`
12.0b	3	`z`
11.4b	5	`t`

Compiler

Compiled 252 to 137 computations (45.6% saved)

bsearch88.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	4.987188556751195e-28	2.9804650138901365e-14
43.0ms	-14.777912412747105	-0.19498582606305107

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes338.0ms (2.3%)

Counts

28 → 5

Calls

Call 1

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

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

Calls

4 calls:

160.0ms	t
66.0ms	y
59.0ms	z
40.0ms	x

Results

Error	Segments	Branch
10.0b	3	`x`
6.6b	5	`y`
12.0b	3	`z`
11.6b	7	`t`

Compiler

Compiled 212 to 120 computations (43.4% saved)

bsearch78.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
25.0ms	3.8472076787083203e-60	3.632830133002642e-58
16.0ms	2.655671114922649e-133	3.851458479240038e-133
11.0ms	5.503664544219048e-206	1.6111574281006577e-191
26.0ms	-14.777912412747105	-0.19498582606305107

Compiler

Compiled 78 to 57 computations (26.9% saved)

regimes770.0ms (5.3%)

Counts

24 → 5

Calls

Call 1

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

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

Calls

4 calls:

329.0ms	y
318.0ms	z
81.0ms	t
35.0ms	x

Results

Error	Segments	Branch
10.0b	3	`x`
6.6b	5	`y`
12.0b	3	`z`
11.6b	7	`t`

Compiler

Compiled 176 to 103 computations (41.5% saved)

bsearch73.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	3.4410829740960673e-28	4.987188556751195e-28
15.0ms	2.655671114922649e-133	3.851458479240038e-133
10.0ms	5.503664544219048e-206	1.6111574281006577e-191
24.0ms	-14.777912412747105	-0.19498582606305107

Compiler

Compiled 78 to 57 computations (26.9% saved)

regimes147.0ms (1%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

4 calls:

44.0ms	t
33.0ms	x
31.0ms	z
30.0ms	y

Results

Error	Segments	Branch
10.0b	3	`x`
13.7b	3	`y`
12.0b	3	`z`
13.8b	4	`t`

Compiler

Compiled 167 to 98 computations (41.3% saved)

bsearch48.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	6.103813402301225e-133	8.369533578229889e-132
24.0ms	-2.4395939510347985e-114	-4.929724832826828e-119

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes125.0ms (0.9%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

4 calls:

44.0ms	x
37.0ms	y
23.0ms	t
14.0ms	z

Results

Error	Segments	Branch
15.5b	3	`x`
13.7b	3	`y`
16.7b	1	`z`
15.3b	2	`t`

Compiler

Compiled 158 to 94 computations (40.5% saved)

bsearch360.0ms (2.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
133.0ms	3.851458479240038e-133	1.7908950363543364e-132
226.0ms	-4.559397262440155e-127	-3.1173673263997383e-130

Compiler

Compiled 362 to 271 computations (25.1% saved)

regimes113.0ms (0.8%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

4 calls:

36.0ms	y
35.0ms	x
22.0ms	t
12.0ms	z

Results

Error	Segments	Branch
15.5b	3	`x`
13.8b	3	`y`
16.7b	1	`z`
15.3b	2	`t`

Compiler

Compiled 151 to 91 computations (39.7% saved)

bsearch246.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
107.0ms	3.851458479240038e-133	1.7908950363543364e-132
139.0ms	-4.559397262440155e-127	-3.1173673263997383e-130

Compiler

Compiled 362 to 271 computations (25.1% saved)

regimes243.0ms (1.7%)

Counts

16 → 8

Calls

Call 1

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

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

Calls

4 calls:

76.0ms	y
72.0ms	z
52.0ms	t
38.0ms	x

Results

Error	Segments	Branch
25.1b	5	`x`
21.1b	8	`y`
27.3b	7	`z`
32.0b	6	`t`

Compiler

Compiled 116 to 73 computations (37.1% saved)

bsearch345.0ms (2.4%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
24.0ms	1.549257929109093e+40	3.339290273810365e+41
97.0ms	3.851458479240038e-133	1.7908950363543364e-132
127.0ms	-4.559397262440155e-127	-3.1173673263997383e-130
25.0ms	-2.6214729508004137e-34	-1.4766229184510445e-35
23.0ms	-14.777912412747105	-0.19498582606305107
24.0ms	-2.3465093818346616e+20	-1.151881352854472e+20
25.0ms	-7.280088577031702e+75	-2.79459345788938e+74

Compiler

Compiled 278 to 215 computations (22.7% saved)

regimes220.0ms (1.5%)

Counts

14 → 8

Calls

Call 1

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

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

Calls

4 calls:

72.0ms	y
58.0ms	z
47.0ms	t
38.0ms	x

Results

Error	Segments	Branch
25.1b	5	`x`
21.1b	8	`y`
27.3b	7	`z`
32.0b	6	`t`

Compiler

Compiled 102 to 66 computations (35.3% saved)

bsearch344.0ms (2.4%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
26.0ms	1.549257929109093e+40	3.339290273810365e+41
93.0ms	3.851458479240038e-133	1.7908950363543364e-132
125.0ms	-4.559397262440155e-127	-3.1173673263997383e-130
24.0ms	-2.6214729508004137e-34	-1.4766229184510445e-35
25.0ms	-14.777912412747105	-0.19498582606305107
25.0ms	-2.3465093818346616e+20	-1.151881352854472e+20
26.0ms	-7.280088577031702e+75	-2.79459345788938e+74

Compiler

Compiled 278 to 215 computations (22.7% saved)

regimes176.0ms (1.2%)

Counts

10 → 8

Calls

Call 1

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

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

Calls

4 calls:

56.0ms	y
49.0ms	z
35.0ms	t
33.0ms	x

Results

Error	Segments	Branch
25.1b	5	`x`
21.1b	8	`y`
27.3b	7	`z`
32.4b	6	`t`

Compiler

Compiled 74 to 49 computations (33.8% saved)

bsearch356.0ms (2.4%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
25.0ms	1.549257929109093e+40	3.339290273810365e+41
97.0ms	3.851458479240038e-133	1.7908950363543364e-132
132.0ms	-4.559397262440155e-127	-3.1173673263997383e-130
24.0ms	-2.6214729508004137e-34	-1.4766229184510445e-35
27.0ms	-14.777912412747105	-0.19498582606305107
24.0ms	-2.3465093818346616e+20	-1.151881352854472e+20
27.0ms	-7.280088577031702e+75	-2.79459345788938e+74

Compiler

Compiled 278 to 215 computations (22.7% saved)

regimes132.0ms (0.9%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

4 calls:

51.0ms	t
41.0ms	z
21.0ms	y
16.0ms	x

Results

Error	Segments	Branch
26.4b	3	`x`
25.4b	3	`y`
27.3b	7	`z`
32.8b	9	`t`

Compiler

Compiled 60 to 41 computations (31.7% saved)

bsearch48.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	1.549257929109093e+40	3.339290273810365e+41
24.0ms	-7.280088577031702e+75	-2.79459345788938e+74

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes80.0ms (0.6%)

Accuracy

Total -36.8b remaining (-144.5%)

Threshold costs -36.8b (-144.5%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	t
25.0ms	z
13.0ms	y
10.0ms	x

Results

Error	Segments	Branch
26.4b	3	`x`
25.5b	3	`y`
27.3b	7	`z`
32.9b	9	`t`

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch50.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	1.549257929109093e+40	3.339290273810365e+41
24.0ms	-7.280088577031702e+75	-2.79459345788938e+74

Compiler

Compiled 26 to 19 computations (26.9% saved)

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

27×	`*-commutative_binary64`
25×	`+-commutative_binary64`
17×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	1097
1	209	1097
2	243	1097
3	264	1097
4	277	1097
5	280	1097

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 t -18314729472812218580992) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (.f64 z 3) y))) (if (<=.f64 t 999999999999999949387135297074018866963645011013410073083904) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 z) (/.f64 t (.f64 3 y)))) (+.f64 (-.f64 x (pow.f64 (.f64 3 (/.f64 z y)) -1)) (/.f64 t (.f64 (*.f64 z 3) y)))))
(if (<=.f64 t -18314729472812218580992) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (.f64 z 3) y))) (if (<=.f64 t 999999999999999949387135297074018866963645011013410073083904) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 z) (/.f64 t (.f64 3 y)))) (+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (.f64 (.f64 z 3) y)))))
(if (<=.f64 (.f64 z 3) -565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664) (+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (.f64 (.f64 z 3) y))) (if (<=.f64 (.f64 z 3) 6277101735386681/3138550867693340381917894711603833208051177722232017256448) (+.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (.f64 z 3) y)))))
(if (<=.f64 z -2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (.f64 (.f64 z 3) y))) (if (<=.f64 z 7482888383134223/748288838313422294120286634350736906063837462003712) (+.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (*.f64 (/.f64 (/.f64 1/3 z) y) t))))
(if (<=.f64 z -2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (.f64 (.f64 z 3) y))) (if (<=.f64 z 8711228593176025/87112285931760246646623899502532662132736) (+.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x) (+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (.f64 (*.f64 z 3) y)))))
(if (<=.f64 y 152270531428125/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984) (+.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x) (if (<=.f64 y 1390225265764201/2787593149816327892691964784081045188247552) (+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x) (+.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x)))
(if (<=.f64 y -8319225104420211/562949953421312) (-.f64 x (/.f64 1/3 (/.f64 z y))) (if (<=.f64 y 1390225265764201/2787593149816327892691964784081045188247552) (+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x) (-.f64 x (/.f64 1 (/.f64 z (*.f64 1/3 y))))))
(if (<=.f64 y -8319225104420211/562949953421312) (-.f64 x (/.f64 1/3 (/.f64 z y))) (if (<=.f64 y 1723641332219371/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768) (+.f64 (/.f64 (/.f64 (.f64 t 1/3) y) z) x) (if (<=.f64 y 7672009237256583/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792) (/.f64 (.f64 1/3 t) (.f64 y z)) (if (<=.f64 y 6960565856991905/1809251394333065553493296640760748560207343510400633813116524750123642650624) (+.f64 (/.f64 (/.f64 (.f64 t 1/3) y) z) x) (-.f64 x (/.f64 1 (/.f64 z (*.f64 1/3 y))))))))
(if (<=.f64 y -8319225104420211/562949953421312) (-.f64 x (/.f64 1/3 (/.f64 z y))) (if (<=.f64 y 1723641332219371/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768) (+.f64 (/.f64 (/.f64 (.f64 t 1/3) y) z) x) (if (<=.f64 y 7672009237256583/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792) (/.f64 (.f64 1/3 t) (.f64 y z)) (if (<=.f64 y 7673871461231835/22300745198530623141535718272648361505980416) (+.f64 (/.f64 (/.f64 (.f64 t 1/3) y) z) x) (-.f64 x (*.f64 1/3 (/.f64 y z)))))))
(if (<=.f64 x -6764188213994645/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824) (-.f64 x (.f64 1/3 (/.f64 y z))) (if (<=.f64 x 1951188033539397/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (/.f64 (.f64 (-.f64 y (/.f64 t y)) -1/3) z) (-.f64 x (/.f64 1/3 (/.f64 z y)))))
(if (<=.f64 y -1966701586699075/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352) (-.f64 x (/.f64 1/3 (/.f64 z y))) (if (<=.f64 y 4986806004216779/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (/.f64 (/.f64 t z) (/.f64 y 1/3)) (-.f64 x (*.f64 1/3 (/.f64 y z)))))
(if (<=.f64 y -1966701586699075/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352) (-.f64 x (/.f64 1/3 (/.f64 z y))) (if (<=.f64 y 4986806004216779/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (/.f64 (/.f64 t z) (/.f64 y 1/3)) (-.f64 x (/.f64 1/3 (/.f64 z y)))))
(if (<=.f64 y -7280088577031701877118004732183776368061972749973190152967383002669243170816) (/.f64 y (.f64 z -3)) (if (<=.f64 y -234650938183466156032) x (if (<=.f64 y -8319225104420211/562949953421312) (/.f64 y (.f64 z -3)) (if (<=.f64 y -6130059215701565/23384026197294446691258957323460528314494920687616) (.f64 t (/.f64 1/3 (.f64 y z))) (if (<=.f64 y -1966701586699075/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352) x (if (<=.f64 y 4986806004216779/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (/.f64 (/.f64 t z) (/.f64 y 1/3)) (if (<=.f64 y 15492579291090929119706019281784585322496) x (/.f64 y (*.f64 z -3)))))))))
(if (<=.f64 y -7280088577031701877118004732183776368061972749973190152967383002669243170816) (/.f64 y (.f64 z -3)) (if (<=.f64 y -234650938183466156032) x (if (<=.f64 y -8319225104420211/562949953421312) (/.f64 y (.f64 z -3)) (if (<=.f64 y -6130059215701565/23384026197294446691258957323460528314494920687616) (/.f64 1/3 (.f64 (/.f64 z t) y)) (if (<=.f64 y -1966701586699075/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352) x (if (<=.f64 y 4986806004216779/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (/.f64 (/.f64 t z) (/.f64 y 1/3)) (if (<=.f64 y 15492579291090929119706019281784585322496) x (/.f64 y (.f64 z -3)))))))))
(if (<=.f64 y -7280088577031701877118004732183776368061972749973190152967383002669243170816) (/.f64 y (.f64 z -3)) (if (<=.f64 y -234650938183466156032) x (if (<=.f64 y -8319225104420211/562949953421312) (/.f64 y (.f64 z -3)) (if (<=.f64 y -6130059215701565/23384026197294446691258957323460528314494920687616) (/.f64 1/3 (.f64 (/.f64 z t) y)) (if (<=.f64 y -1966701586699075/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352) x (if (<=.f64 y 4986806004216779/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (/.f64 1/3 (.f64 (/.f64 z t) y)) (if (<=.f64 y 15492579291090929119706019281784585322496) x (/.f64 y (*.f64 z -3)))))))))
(if (<=.f64 y -7280088577031701877118004732183776368061972749973190152967383002669243170816) (/.f64 y (.f64 z -3)) (if (<=.f64 y 15492579291090929119706019281784585322496) x (/.f64 y (.f64 z -3))))
(if (<=.f64 y -7280088577031701877118004732183776368061972749973190152967383002669243170816) (/.f64 (.f64 y -1/3) z) (if (<=.f64 y 15492579291090929119706019281784585322496) x (/.f64 (.f64 y -1/3) z)))
x

Outputs
(if (<=.f64 t -18314729472812218580992) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (.f64 z 3) y))) (if (<=.f64 t 999999999999999949387135297074018866963645011013410073083904) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 z) (/.f64 t (.f64 3 y)))) (+.f64 (-.f64 x (pow.f64 (.f64 3 (/.f64 z y)) -1)) (/.f64 t (.f64 (*.f64 z 3) y)))))
(if (<=.f64 t -18314729472812218580992) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 y (.f64 z 3)))) (if (<=.f64 t 999999999999999949387135297074018866963645011013410073083904) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 z) (/.f64 t (.f64 y 3)))) (+.f64 (/.f64 t (.f64 y (.f64 z 3))) (-.f64 x (pow.f64 (*.f64 3 (/.f64 z y)) -1)))))
(if (<=.f64 t -18314729472812218580992) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (.f64 z 3) y))) (if (<=.f64 t 999999999999999949387135297074018866963645011013410073083904) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 z) (/.f64 t (.f64 3 y)))) (+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (.f64 (.f64 z 3) y)))))
(if (<=.f64 t -18314729472812218580992) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 y (.f64 z 3)))) (if (<=.f64 t 999999999999999949387135297074018866963645011013410073083904) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 z) (/.f64 t (.f64 y 3)))) (+.f64 (/.f64 t (.f64 y (.f64 z 3))) (-.f64 x (/.f64 (/.f64 y z) 3)))))
(if (<=.f64 (.f64 z 3) -565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664) (+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (.f64 (.f64 z 3) y))) (if (<=.f64 (.f64 z 3) 6277101735386681/3138550867693340381917894711603833208051177722232017256448) (+.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (.f64 z 3) y)))))
(if (<=.f64 (.f64 z 3) -565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664) (+.f64 (/.f64 t (.f64 y (.f64 z 3))) (-.f64 x (/.f64 (/.f64 y z) 3))) (if (<=.f64 (.f64 z 3) 6277101735386681/3138550867693340381917894711603833208051177722232017256448) (+.f64 x (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 y (.f64 z 3))))))
(if (<=.f64 z -2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (.f64 (.f64 z 3) y))) (if (<=.f64 z 7482888383134223/748288838313422294120286634350736906063837462003712) (+.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (*.f64 (/.f64 (/.f64 1/3 z) y) t))))
(if (<=.f64 z -2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (+.f64 (/.f64 t (.f64 y (.f64 z 3))) (-.f64 x (/.f64 (/.f64 y z) 3))) (if (<=.f64 z 7482888383134223/748288838313422294120286634350736906063837462003712) (+.f64 x (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (*.f64 t (/.f64 (/.f64 1/3 z) y)))))
(if (<=.f64 z -2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (.f64 (.f64 z 3) y))) (if (<=.f64 z 8711228593176025/87112285931760246646623899502532662132736) (+.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x) (+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (.f64 (*.f64 z 3) y)))))
(if (<=.f64 z -2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (+.f64 (/.f64 t (.f64 y (.f64 z 3))) (-.f64 x (/.f64 (/.f64 y z) 3))) (if (<=.f64 z 8711228593176025/87112285931760246646623899502532662132736) (+.f64 x (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))) (+.f64 (/.f64 t (.f64 y (*.f64 z 3))) (-.f64 x (/.f64 (/.f64 y z) 3)))))
(if (<=.f64 y 152270531428125/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984) (+.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x) (if (<=.f64 y 1390225265764201/2787593149816327892691964784081045188247552) (+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x) (+.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x)))
(if (<=.f64 y 152270531428125/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984) (+.f64 x (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))) (if (<=.f64 y 1390225265764201/2787593149816327892691964784081045188247552) (+.f64 x (.f64 1/3 (/.f64 t (.f64 y z)))) (+.f64 x (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))))
(if (<=.f64 y -8319225104420211/562949953421312) (-.f64 x (/.f64 1/3 (/.f64 z y))) (if (<=.f64 y 1390225265764201/2787593149816327892691964784081045188247552) (+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x) (-.f64 x (/.f64 1 (/.f64 z (*.f64 1/3 y))))))
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x

Compiler

Compiled 827 to 539 computations (34.8% saved)

soundness0.0ms (0%)

end288.0ms (2%)

Compiler: Compiled 759 to 441 computations (41.9% saved)