Details

analyze566.0ms (3.2%)

Algorithm

1×

Search

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

Compiler

Compiled 20 to 14 computations (30% saved)

sample2.3s (12.5%)

Results

1.7s	8256×	body	256	valid
554.0ms	3219×	body	256	infinite

Bogosity

preprocess82.0ms (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)

simplify111.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.5b	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
▶	3.9b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))

Compiler

Compiled 33 to 22 computations (33.3% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
✓	0.2b	(.f64 (.f64 z 3) y)
✓	0.3b	(/.f64 y (*.f64 z 3))
✓	6.5b	(/.f64 t (.f64 (.f64 z 3) y))

Compiler

Compiled 51 to 30 computations (41.2% saved)

series29.0ms (0.2%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(.f64 (.f64 z 3) y)
2.0ms	x	@	0	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.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))
1.0ms	z	@	0	(/.f64 t (.f64 (.f64 z 3) y))

rewrite147.0ms (0.8%)

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 y (*.f64 z 3))
(.f64 (.f64 z 3) y)
(+.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 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simplify166.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

860×	`fma-neg_binary64`
628×	`div-sub_binary64`
445×	`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	425	1267
4	998	1267
5	2691	1267
6	6159	1267
7	7787	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 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.f64 1/3 (/.f64 y z))
(*.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 (/.f64 -1/3 z) (-.f64 (/.f64 t y) y)))
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(fma.f64 (-.f64 (/.f64 t y) y) (/.f64 1/3 z) x)
(+.f64 (.f64 -1/3 (/.f64 y z)) (+.f64 (.f64 1/3 (/.f64 t (*.f64 y z))) x))
(fma.f64 -1/3 (/.f64 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 (-.f64 (/.f64 t y) y) (/.f64 1/3 z) x)
(/.f64 (-.f64 (.f64 1/3 (/.f64 t y)) (.f64 1/3 y)) z)
(.f64 1/3 (-.f64 (/.f64 t (.f64 y z)) (/.f64 y z)))
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(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y))
(*.f64 (-.f64 (/.f64 t y) y) (/.f64 1/3 z))
(-.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 (-.f64 (/.f64 t y) y) (/.f64 1/3 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)))
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(fma.f64 (-.f64 (/.f64 t y) y) (/.f64 1/3 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 (-.f64 (/.f64 t y) y) (/.f64 1/3 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 (-.f64 (/.f64 t y) y) (/.f64 1/3 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 (-.f64 (/.f64 t y) y) (/.f64 1/3 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 (-.f64 (/.f64 t y) y) (/.f64 1/3 z) x)
x
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/3 (/.f64 t y)) (*.f64 -1/3 y)) z)) x)
(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 (-.f64 (/.f64 t y) y) (/.f64 1/3 z) x)
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(-.f64 x (/.f64 -1/3 (/.f64 z (-.f64 (/.f64 t y) y))))
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(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/3 (/.f64 t y)) (*.f64 -1/3 y)) z)) x)
(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)
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(-.f64 x (*.f64 1/3 (/.f64 y z)))
(fma.f64 -1/3 (/.f64 y z) x)
(fma.f64 (/.f64 y z) -1/3 x)
(fma.f64 (/.f64 -1/3 z) y x)
(fma.f64 y (/.f64 -1/3 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 (-.f64 (/.f64 t y) y) (/.f64 1/3 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 (-.f64 (/.f64 t y) y) (/.f64 1/3 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 (-.f64 (/.f64 t y) y) (/.f64 1/3 z) x)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(*.f64 t (/.f64 (/.f64 1/3 z) 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 (-.f64 (/.f64 t y) y) (/.f64 1/3 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))))
(-.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 (-.f64 (/.f64 t y) y) (/.f64 1/3 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))))
(-.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 (-.f64 (/.f64 t y) y) (/.f64 1/3 z) x)
(.f64 1/3 (/.f64 t (.f64 y z)))
(*.f64 (/.f64 1/3 y) (/.f64 t z))
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(*.f64 t (/.f64 (/.f64 1/3 z) 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 (-.f64 (/.f64 t y) y) (/.f64 1/3 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 (-.f64 (/.f64 t y) y) (/.f64 1/3 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 (-.f64 (/.f64 t y) y) (/.f64 1/3 z) x)

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 y (/.f64 t y))
✓	0.4b	(/.f64 -1/3 z)
✓	3.2b	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)

Compiler

Compiled 30 to 12 computations (60% saved)

series18.0ms (0.1%)

Counts

3 → 72

Calls

21 calls:

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

rewrite137.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	223	25
2	3101	25

Stop Event

1×	node limit

Counts

3 → 211

Calls

Call 1

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

Outputs
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Outputs

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

simplify172.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1489×	`fma-def_binary64`
725×	`div-sub_binary64`
463×	`fma-neg_binary64`
354×	`times-frac_binary64`
300×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	718
1	53	718
2	108	718
3	188	718
4	349	718
5	679	718
6	1324	718
7	2346	718
8	5077	718
9	6278	718
10	7102	718
11	7599	718
12	7874	718

Stop Event

1×	node limit

Counts

283 → 230

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

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

eval208.0ms (1.2%)

Compiler: Compiled 10566 to 4984 computations (52.8% saved)

prune93.0ms (0.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	437	19	456
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	439	19	458

Error

Counts

458 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.1b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 y) (*.f64 t (/.f64 1/3 z))))
	40.2b	x
▶	48.2b	(*.f64 t (/.f64 (/.f64 1/3 y) z))
	3.9b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (+.f64 0 (.f64 z (*.f64 3 y)))))
	26.2b	(*.f64 (-.f64 (/.f64 t y) y) (/.f64 1/3 z))
	3.5b	(+.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x)
	17.9b	(-.f64 x (*.f64 1/3 (/.f64 y z)))
	3.9b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 3 (*.f64 y z))))
	26.2b	(/.f64 (-.f64 (.f64 1/3 (/.f64 t y)) (.f64 1/3 y)) z)
	26.2b	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
	40.4b	(/.f64 y (/.f64 z -1/3))
	3.9b	(+.f64 (-.f64 x (pow.f64 (.f64 3 (/.f64 z y)) -1)) (/.f64 t (.f64 (*.f64 z 3) y)))
	3.9b	(+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
▶	40.5b	(*.f64 -1/3 (/.f64 y z))
	40.5b	(*.f64 y (/.f64 -1/3 z))
	4.3b	(+.f64 (-.f64 x (pow.f64 (cbrt.f64 (.f64 (/.f64 y z) 1/3)) 3)) (/.f64 t (.f64 (*.f64 z 3) y)))
▶	26.7b	(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
	48.2b	(.f64 1/3 (/.f64 t (.f64 y z)))
▶	3.9b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 y (/.f64 z 1/3))))

Compiler

Compiled 551 to 394 computations (28.5% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 t (/.f64 1/3 z))
	0.3b	(/.f64 y (*.f64 z 3))
✓	0.4b	(/.f64 1/3 z)
✓	5.4b	(.f64 (/.f64 1 y) (.f64 t (/.f64 1/3 z)))

Compiler

Compiled 63 to 40 computations (36.5% saved)

series7.0ms (0%)

Counts

3 → 60

Calls

18 calls:

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

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

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

Outputs

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

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

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

simplify27.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

201 → 145

Calls

Call 1

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

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

localize7.0ms (0%)

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

rewrite51.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 1/3 y) z)
✓	0.4b	(/.f64 1/3 y)
✓	6.7b	(*.f64 t (/.f64 (/.f64 1/3 y) z))

Compiler

Compiled 23 to 14 computations (39.1% saved)

series9.0ms (0.1%)

Counts

3 → 60

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(/.f64 (/.f64 1/3 y) z)
0.0ms	z	@	-inf	(/.f64 (/.f64 1/3 y) z)
0.0ms	z	@	0	(/.f64 (/.f64 1/3 y) z)
0.0ms	t	@	0	(*.f64 t (/.f64 (/.f64 1/3 y) z))
0.0ms	y	@	0	(/.f64 1/3 y)

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

957×	`pow1_binary64`
890×	`add-log-exp_binary64`
890×	`log1p-expm1-u_binary64`
890×	`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	2363	21

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

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

Outputs

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

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

simplify25.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

143 → 87

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)

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)
✓	0.3b	(.f64 1/3 (/.f64 t (.f64 y z)))
✓	6.4b	(/.f64 t (*.f64 y z))

Compiler

Compiled 33 to 12 computations (63.6% saved)

series11.0ms (0.1%)

Counts

3 → 12

Calls

30 calls:

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

rewrite76.0ms (0.4%)

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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simplify13.0ms (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

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 y (/.f64 z 1/3))
	0.3b	(/.f64 y (*.f64 z 3))
✓	0.4b	(/.f64 z 1/3)
✓	6.5b	(/.f64 t (*.f64 y (/.f64 z 1/3)))

Compiler

Compiled 55 to 33 computations (40% saved)

series11.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite100.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`pow1_binary64`
896×	`add-log-exp_binary64`
896×	`log1p-expm1-u_binary64`
896×	`expm1-log1p-u_binary64`
89×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	176	21
2	2372	21

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

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

Outputs

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

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

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

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	576
1	21	576
2	44	576
3	70	576
4	94	576
5	96	576

Stop Event

1×

saturated

Counts

159 → 91

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

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

eval229.0ms (1.3%)

Compiler: Compiled 9518 to 5577 computations (41.4% saved)

prune111.0ms (0.6%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	556	11	567
Fresh	8	6	14
Picked	1	0	1
Done	2	2	4
Total	567	19	586

Error

Counts

586 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	48.2b	(.f64 1/3 (/.f64 t (.f64 y z)))
✓	48.2b	(*.f64 t (/.f64 (/.f64 1/3 y) z))
	40.8b	(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 y z))) 3)
	40.2b	x
	48.5b	(/.f64 (*.f64 t (/.f64 1/3 y)) z)
▶	26.2b	(*.f64 (-.f64 (/.f64 t y) y) (/.f64 1/3 z))
	48.5b	(/.f64 1 (/.f64 z (*.f64 t (/.f64 1/3 y))))
	26.2b	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
	24.7b	(+.f64 (/.f64 (/.f64 (*.f64 t 1/3) z) y) x)
▶	3.5b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t y) (.f64 z 3)))
	40.4b	(/.f64 y (/.f64 z -1/3))
	3.9b	(+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
✓	40.5b	(*.f64 -1/3 (/.f64 y z))
▶	40.5b	(*.f64 y (/.f64 -1/3 z))
	40.4b	(/.f64 -1/3 (/.f64 z y))
	48.2b	(/.f64 t (*.f64 (/.f64 z 1/3) y))
▶	1.8b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 1/3 (.f64 y (/.f64 z t))))
▶	17.9b	(-.f64 x (*.f64 1/3 (/.f64 y z)))
	26.2b	(+.f64 (/.f64 1/3 (/.f64 z (/.f64 t y))) x)

Compiler

Compiled 439 to 319 computations (27.3% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 1/3 (.f64 y (/.f64 z t))))
	0.3b	(/.f64 y (*.f64 z 3))
✓	0.3b	(/.f64 1/3 (*.f64 y (/.f64 z t)))
✓	5.4b	(*.f64 y (/.f64 z t))

Compiler

Compiled 55 to 26 computations (52.7% saved)

series11.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite104.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

650×	`fma-def_binary64`
402×	`fma-neg_binary64`
347×	`log-div_binary64`
304×	`expm1-udef_binary64`
304×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	326	37
2	5119	37

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

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

Outputs

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simplify119.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

869×	`fma-neg_binary64`
628×	`div-sub_binary64`
449×	`cancel-sign-sub-inv_binary64`
428×	`fma-def_binary64`
421×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	1321
1	92	1249
2	193	1249
3	413	1183
4	995	1183
5	2685	1183
6	6018	1183
7	7601	1183

Stop Event

1×	node limit

Counts

260 → 158

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

localize7.0ms (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	y	@	-inf	(*.f64 y (/.f64 -1/3 z))
0.0ms	z	@	0	(*.f64 y (/.f64 -1/3 z))
0.0ms	z	@	-inf	(*.f64 y (/.f64 -1/3 z))

rewrite55.0ms (0.3%)

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))))))))

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

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%)

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)

series4.0ms (0%)

Counts

2 → 36

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	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)))

rewrite103.0ms (0.6%)

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

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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)))))

simplify20.0ms (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 t y) y)
	0.4b	(/.f64 1/3 z)
✓	3.4b	(*.f64 (-.f64 (/.f64 t y) y) (/.f64 1/3 z))

Compiler

Compiled 28 to 12 computations (57.1% saved)

series8.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

609×	`prod-diff_binary64`
516×	`log-prod_binary64`
345×	`pow-prod-down_binary64`
276×	`pow2_binary64`
229×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	204	20
2	2905	20

Stop Event

1×	node limit

Counts

2 → 163

Calls

Call 1

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

Outputs

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

simplify165.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1267×	`fma-def_binary64`
793×	`fma-neg_binary64`
357×	`neg-mul-1_binary64`
356×	`div-sub_binary64`
353×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	708
1	38	708
2	79	708
3	140	588
4	255	588
5	399	588
6	679	588
7	1130	588
8	2071	588
9	3799	588
10	5851	588
11	6763	588
12	7171	588
13	7407	588
14	7625	588

Stop Event

1×	node limit

Counts

223 → 175

Calls

Call 1

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

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

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 y (*.f64 z 3)))
✓	0.0b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t y) (.f64 z 3)))
	0.3b	(/.f64 y (*.f64 z 3))
✓	4.3b	(/.f64 (/.f64 t y) (*.f64 z 3))

Compiler

Compiled 49 to 26 computations (46.9% saved)

series16.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	t	@	inf	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t y) (.f64 z 3)))
1.0ms	t	@	0	(/.f64 (/.f64 t y) (*.f64 z 3))
1.0ms	z	@	0	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t y) (.f64 z 3)))
0.0ms	t	@	inf	(/.f64 (/.f64 t y) (*.f64 z 3))
0.0ms	t	@	-inf	(/.f64 (/.f64 t y) (*.f64 z 3))

rewrite142.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`fma-def_binary64`
444×	`fma-neg_binary64`
378×	`log-div_binary64`
266×	`expm1-udef_binary64`
266×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	281	36
2	4791	36

Stop Event

1×	node limit

Counts

3 → 258

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 t y) (/.f64 1/3 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (/.f64 1 (*.f64 z (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (*.f64 (/.f64 1 y) (/.f64 1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t y) (/.f64 1/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 t y) (/.f64 1/3 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 t y) (/.f64 1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 t y) (/.f64 1/3 z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 t y) (/.f64 1/3 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 t y) (/.f64 1/3 z))) 2) (cbrt.f64 (*.f64 (/.f64 t y) (/.f64 1/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 t y)) 2) (*.f64 (cbrt.f64 (/.f64 t y)) (/.f64 1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 t y) (/.f64 1/3 z))) (sqrt.f64 (*.f64 (/.f64 t y) (/.f64 1/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 t y)) (*.f64 (sqrt.f64 (/.f64 t y)) (/.f64 1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 t) y) (/.f64 1 (*.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 t (*.f64 z y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 t (*.f64 z 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 t z) (/.f64 (/.f64 1 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 (/.f64 t y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 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simplify117.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

860×	`fma-neg_binary64`
627×	`div-sub_binary64`
445×	`cancel-sign-sub-inv_binary64`
420×	`times-frac_binary64`
418×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	1318
1	89	1246
2	193	1246
3	412	1180
4	986	1180
5	2659	1180
6	6012	1180
7	7593	1180

Stop Event

1×	node limit

Counts

378 → 275

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 (.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)))
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Outputs
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(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
(fma.f64 -1/3 (/.f64 y z) x)
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eval351.0ms (2%)

Compiler: Compiled 19791 to 10371 computations (47.6% saved)

prune175.0ms (1%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	949	8	957
Fresh	6	6	12
Picked	1	0	1
Done	1	5	6
Total	957	19	976

Error

Counts

976 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	48.2b	(.f64 1/3 (/.f64 t (.f64 y z)))
	40.2b	x
	48.5b	(*.f64 (/.f64 t y) (/.f64 1/3 z))
	48.5b	(/.f64 (*.f64 t (/.f64 1/3 y)) z)
✓	26.2b	(*.f64 (-.f64 (/.f64 t y) y) (/.f64 1/3 z))
▶	48.5b	(/.f64 1 (/.f64 z (*.f64 t (/.f64 1/3 y))))
✓	17.9b	(-.f64 x (*.f64 1/3 (/.f64 y z)))
	40.4b	(/.f64 y (*.f64 z -3))
	48.5b	(/.f64 1/3 (/.f64 z (/.f64 t y)))
	24.7b	(+.f64 (/.f64 (/.f64 (*.f64 t 1/3) z) y) x)
	40.4b	(/.f64 y (/.f64 z -1/3))
	40.8b	(pow.f64 (cbrt.f64 (*.f64 y (/.f64 -1/3 z))) 3)
	26.1b	(/.f64 (-.f64 (/.f64 t y) y) (*.f64 z 3))
✓	40.5b	(*.f64 -1/3 (/.f64 y z))
✓	40.5b	(*.f64 y (/.f64 -1/3 z))
▶	40.4b	(/.f64 -1/3 (/.f64 z y))
▶	48.2b	(/.f64 t (*.f64 (/.f64 z 1/3) y))
✓	1.8b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 1/3 (.f64 y (/.f64 z t))))
▶	3.4b	(+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 (/.f64 t y) (.f64 z 3)))

Compiler

Compiled 374 to 276 computations (26.2% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 (/.f64 1 z) (/.f64 y 3)))
✓	0.0b	(+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 (/.f64 t y) (.f64 z 3)))
✓	0.3b	(*.f64 (/.f64 1 z) (/.f64 y 3))
	4.3b	(/.f64 (/.f64 t y) (*.f64 z 3))

Compiler

Compiled 62 to 37 computations (40.3% saved)

series8.0ms (0%)

Counts

3 → 108

Calls

27 calls:

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

rewrite113.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`fma-def_binary64`
413×	`fma-neg_binary64`
314×	`expm1-udef_binary64`
314×	`log1p-udef_binary64`
180×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	349	33
2	5633	33

Stop Event

1×	node limit

Counts

3 → 234

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 1/3 z))) 2) (-.f64 x (fma.f64 y (/.f64 1/3 z) (*.f64 1/3 (/.f64 t (*.f64 z y)))))) (/.f64 (pow.f64 (*.f64 1/3 (/.f64 t (*.f64 z y))) 2) (-.f64 x (fma.f64 y (/.f64 1/3 z) (*.f64 1/3 (/.f64 t (*.f64 z y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 1/3 (/.f64 t (*.f64 z y)) x) (*.f64 y (/.f64 1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z 3)))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (-.f64 y (/.f64 t 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simplify114.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

860×	`fma-neg_binary64`
629×	`div-sub_binary64`
445×	`cancel-sign-sub-inv_binary64`
421×	`times-frac_binary64`
417×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	1126
1	89	1054
2	192	1054
3	411	988
4	982	988
5	2637	988
6	5992	988
7	7575	988

Stop Event

1×	node limit

Counts

342 → 253

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.9b	(/.f64 -1/3 (/.f64 z y))

Compiler

Compiled 15 to 8 computations (46.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (0.3%)

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))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(.f64 1/3 (/.f64 t (.f64 y z)))
	6.4b	(/.f64 t (*.f64 y z))

Compiler

Compiled 23 to 9 computations (60.9% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 z 1/3) y)
	0.4b	(/.f64 z 1/3)
✓	6.5b	(/.f64 t (*.f64 (/.f64 z 1/3) y))

Compiler

Compiled 23 to 14 computations (39.1% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`pow1_binary64`
902×	`add-log-exp_binary64`
902×	`log1p-expm1-u_binary64`
902×	`expm1-log1p-u_binary64`
89×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	176	17
2	2383	17

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs

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

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

simplify360.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

121 → 65

Calls

Call 1

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

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

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 t (/.f64 1/3 y))
✓	0.2b	(/.f64 1 (/.f64 z (*.f64 t (/.f64 1/3 y))))
	0.4b	(/.f64 1/3 y)
✓	4.3b	(/.f64 z (*.f64 t (/.f64 1/3 y)))

Compiler

Compiled 33 to 21 computations (36.4% saved)

series16.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite339.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`log-prod_binary64`
430×	`exp-prod_binary64`
311×	`pow-prod-down_binary64`
270×	`pow2_binary64`
203×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	216	27
2	2869	27

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

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

Outputs

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

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

simplify278.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

26×	`associate-/l*_binary64`
22×	`*-commutative_binary64`
17×	`associate-/r/_binary64`
10×	`associate-r_binary64`
10×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	888
1	25	888
2	51	888
3	98	888
4	142	888
5	156	888

Stop Event

1×

saturated

Counts

263 → 173

Calls

Call 1

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

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

eval370.0ms (2.1%)

Compiler: Compiled 11866 to 6884 computations (42% saved)

prune166.0ms (0.9%)

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	683	6	689
Fresh	4	5	9
Picked	1	0	1
Done	2	7	9
Total	690	18	708

Error

Counts

708 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	47.2b	(*.f64 (/.f64 t z) (/.f64 1/3 y))
✓	48.2b	(/.f64 t (*.f64 (/.f64 z 1/3) y))
✓	17.9b	(-.f64 x (*.f64 1/3 (/.f64 y z)))
	40.4b	(/.f64 y (*.f64 z -3))
	48.5b	(/.f64 1/3 (/.f64 z (/.f64 t y)))
	24.7b	(+.f64 (/.f64 (/.f64 (*.f64 t 1/3) z) y) x)
	40.2b	x
	47.2b	(/.f64 (/.f64 (*.f64 t 1/3) z) y)
	40.4b	(/.f64 y (/.f64 z -1/3))
	26.1b	(/.f64 (-.f64 (/.f64 t y) y) (*.f64 z 3))
✓	40.5b	(*.f64 -1/3 (/.f64 y z))
✓	40.5b	(*.f64 y (/.f64 -1/3 z))
✓	40.4b	(/.f64 -1/3 (/.f64 z y))
	3.4b	(+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 (/.f64 t y) (*.f64 z 3)))
	48.5b	(*.f64 (/.f64 t y) (/.f64 1/3 z))
✓	26.2b	(*.f64 (-.f64 (/.f64 t y) y) (/.f64 1/3 z))
✓	3.4b	(+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 (/.f64 t y) (.f64 z 3)))
	48.5b	(/.f64 (/.f64 (*.f64 t 1/3) y) z)

Compiler

Compiled 206 to 150 computations (27.2% saved)

regimes314.0ms (1.7%)

Counts

46 → 3

Calls

Call 1

Inputs
x
x
x
x
(/.f64 y (*.f64 z -3))
(/.f64 -1/3 (/.f64 z y))
(/.f64 -1/3 (/.f64 z y))
(/.f64 y (/.f64 z -1/3))
(*.f64 -1/3 (/.f64 y z))
(*.f64 y (/.f64 -1/3 z))
(*.f64 (/.f64 t z) (/.f64 1/3 y))
(/.f64 (/.f64 (*.f64 t 1/3) z) y)
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 (/.f64 (*.f64 t 1/3) y) z)
(*.f64 (/.f64 t y) (/.f64 1/3 z))
(/.f64 1/3 (/.f64 z (/.f64 t y)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (*.f64 t (/.f64 1/3 y)) z)
(/.f64 t (*.f64 (/.f64 z 1/3) y))
(*.f64 t (/.f64 (/.f64 1/3 y) z))
(-.f64 x (*.f64 1/3 (/.f64 y z)))
(.f64 1/3 (/.f64 t (.f64 y z)))
(/.f64 (-.f64 (/.f64 t y) y) (*.f64 z 3))
(/.f64 1 (/.f64 z (*.f64 t (/.f64 1/3 y))))
(+.f64 (/.f64 (/.f64 (*.f64 t 1/3) z) y) x)
(+.f64 (/.f64 1/3 (/.f64 z (/.f64 t y))) x)
(*.f64 (-.f64 (/.f64 t y) y) (/.f64 1/3 z))
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
(+.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x)
(/.f64 (-.f64 (.f64 1/3 (/.f64 t y)) (.f64 1/3 y)) z)
(+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 (/.f64 t y) (*.f64 z 3)))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t y) (.f64 z 3)))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 1/3 (.f64 y (/.f64 z t))))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 3 (*.f64 y z))))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 y (/.f64 z 1/3))))
(+.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 (/.f64 t y) (.f64 z 3)))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 y) (*.f64 t (/.f64 1/3 z))))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (+.f64 0 (.f64 z (*.f64 3 y)))))
(+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
(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)))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 -1/3 z))) 3)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 y z))) 3)
(+.f64 (-.f64 x (pow.f64 (cbrt.f64 (.f64 (/.f64 y z) 1/3)) 3)) (/.f64 t (.f64 (*.f64 z 3) y)))

Outputs

(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (+.f64 0 (*.f64 z (*.f64 3 y)))))

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

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

Calls

7 calls:

70.0ms	t
69.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
43.0ms	y
35.0ms	z
28.0ms	x

Results

Error	Segments	Branch
1.8b	1	`x`
1.8b	1	`y`
1.8b	1	`z`
0.4b	3	`t`
0.4b	3	`(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))`
1.8b	1	`(*.f64 z 3)`
1.8b	1	`(*.f64 z 3)`

Compiler

Compiled 479 to 271 computations (43.4% saved)

bsearch57.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	3.830453512798634e-203	2.976626358300212e-202
26.0ms	-6.067626527897145e-58	-8.336608018879694e-64

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes295.0ms (1.6%)

Counts

39 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

70.0ms	t
63.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
39.0ms	x
33.0ms	y
32.0ms	(*.f64 z 3)

Results

Error	Segments	Branch
1.8b	1	`x`
1.8b	1	`y`
1.8b	1	`z`
0.4b	3	`t`
0.4b	3	`(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))`
1.8b	1	`(*.f64 z 3)`
1.8b	1	`(*.f64 z 3)`

Compiler

Compiled 384 to 214 computations (44.3% saved)

bsearch86.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
46.0ms	3.830453512798634e-203	2.976626358300212e-202
40.0ms	-474532289337357000.0	-3284775955051356.0

Compiler

Compiled 68 to 49 computations (27.9% saved)

regimes368.0ms (2%)

Counts

37 → 3

Calls

Call 1

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

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

Calls

7 calls:

99.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
73.0ms	t
40.0ms	(*.f64 z 3)
38.0ms	(*.f64 z 3)
34.0ms	x

Results

Error	Segments	Branch
1.8b	1	`x`
1.8b	1	`y`
1.8b	1	`z`
0.4b	3	`t`
0.4b	3	`(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))`
1.8b	1	`(*.f64 z 3)`
1.8b	1	`(*.f64 z 3)`

Compiler

Compiled 350 to 193 computations (44.9% saved)

bsearch91.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	3.830453512798634e-203	2.976626358300212e-202
46.0ms	-6.067626527897145e-58	-8.336608018879694e-64

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes289.0ms (1.6%)

Counts

36 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

93.0ms	t
37.0ms	y
35.0ms	(*.f64 z 3)
35.0ms	x
34.0ms	(*.f64 z 3)

Results

Error	Segments	Branch
1.8b	1	`x`
1.8b	1	`y`
1.8b	1	`z`
0.4b	3	`t`
1.8b	1	`(*.f64 z 3)`
1.8b	1	`(*.f64 z 3)`

Compiler

Compiled 316 to 171 computations (45.9% saved)

bsearch87.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
47.0ms	3.830453512798634e-203	2.976626358300212e-202
39.0ms	-8.420298412919856e+30	-8.316882204020087e+23

Compiler

Compiled 66 to 47 computations (28.8% saved)

regimes280.0ms (1.6%)

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

100.0ms	t
36.0ms	z
36.0ms	(*.f64 z 3)
34.0ms	(*.f64 z 3)
32.0ms	x

Results

Error	Segments	Branch
1.8b	1	`x`
1.8b	1	`y`
1.8b	1	`z`
0.6b	3	`t`
1.8b	1	`(*.f64 z 3)`
1.8b	1	`(*.f64 z 3)`

Compiler

Compiled 286 to 154 computations (46.2% saved)

bsearch86.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	3.830453512798634e-203	2.976626358300212e-202
44.0ms	-5.8073270674823e-57	-6.067626527897145e-58

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes259.0ms (1.4%)

Counts

33 → 3

Calls

Call 1

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

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

Calls

6 calls:

84.0ms	y
32.0ms	t
32.0ms	x
31.0ms	(*.f64 z 3)
31.0ms	(*.f64 z 3)

Results

Error	Segments	Branch
3.4b	1	`x`
1.1b	3	`y`
3.4b	1	`z`
3.4b	1	`t`
3.4b	1	`(*.f64 z 3)`
3.4b	1	`(*.f64 z 3)`

Compiler

Compiled 271 to 145 computations (46.5% saved)

bsearch68.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	1.1279312558935783e-133	9.015849792111365e-127
45.0ms	-1.9473759778457414e-67	-5.128557733813714e-104

Compiler

Compiled 60 to 43 computations (28.3% saved)

regimes136.0ms (0.8%)

Counts

31 → 3

Calls

Call 1

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

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

Calls

6 calls:

46.0ms	y
17.0ms	x
17.0ms	(*.f64 z 3)
16.0ms	(*.f64 z 3)
16.0ms	z

Results

Error	Segments	Branch
3.5b	1	`x`
1.2b	3	`y`
3.5b	1	`z`
3.5b	1	`t`
3.5b	1	`(*.f64 z 3)`
3.5b	1	`(*.f64 z 3)`

Compiler

Compiled 241 to 130 computations (46.1% saved)

bsearch45.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	7.665820233876821e-137	7.994273670170532e-137
24.0ms	-1.9473759778457414e-67	-5.128557733813714e-104

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes516.0ms (2.9%)

Counts

29 → 5

Calls

Call 1

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

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

Calls

6 calls:

167.0ms	t
87.0ms	z
69.0ms	(*.f64 z 3)
65.0ms	(*.f64 z 3)
65.0ms	y

Results

Error	Segments	Branch
8.8b	3	`x`
4.2b	5	`y`
11.8b	5	`z`
11.3b	10	`t`
11.8b	5	`(*.f64 z 3)`
11.8b	5	`(*.f64 z 3)`

Compiler

Compiled 219 to 120 computations (45.2% saved)

bsearch97.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	1.0181362460642468e+36	1.0149067706950784e+49
24.0ms	9.71199073711611e-10	0.0017131719153861867
23.0ms	9.642077405213534e-35	3.5247430192380074e-34
26.0ms	-3.717358786075202e-51	-3.0682471695371182e-58

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes379.0ms (2.1%)

Counts

25 → 5

Calls

Call 1

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

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

Calls

6 calls:

89.0ms	t
60.0ms	z
59.0ms	(*.f64 z 3)
59.0ms	y
57.0ms	(*.f64 z 3)

Results

Error	Segments	Branch
8.8b	3	`x`
4.2b	5	`y`
11.8b	5	`z`
12.5b	8	`t`
11.8b	5	`(*.f64 z 3)`
11.8b	5	`(*.f64 z 3)`

Compiler

Compiled 183 to 107 computations (41.5% saved)

bsearch94.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
24.0ms	1.0181362460642468e+36	1.0149067706950784e+49
24.0ms	9.71199073711611e-10	0.0017131719153861867
23.0ms	9.642077405213534e-35	3.5247430192380074e-34
23.0ms	-3.717358786075202e-51	-3.0682471695371182e-58

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes314.0ms (1.7%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

6 calls:

94.0ms	y
62.0ms	t
46.0ms	x
36.0ms	z
35.0ms	(*.f64 z 3)

Results

Error	Segments	Branch
8.8b	3	`x`
10.5b	9	`y`
13.0b	3	`z`
14.3b	6	`t`
13.0b	3	`(*.f64 z 3)`
13.0b	3	`(*.f64 z 3)`

Compiler

Compiled 174 to 102 computations (41.4% saved)

bsearch48.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	4.261237052647515e-94	1.8037860414022644e-93
23.0ms	-4.2872561187635605e-61	-3.924159512367225e-61

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes289.0ms (1.6%)

Counts

22 → 7

Calls

Call 1

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

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

Calls

4 calls:

141.0ms	y
79.0ms	x
32.0ms	z
31.0ms	t

Results

Error	Segments	Branch
15.6b	3	`x`
11.7b	7	`y`
16.3b	3	`z`
16.8b	2	`t`

Compiler

Compiled 142 to 80 computations (43.7% saved)

bsearch976.0ms (5.4%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
183.0ms	1.1279312558935783e-133	9.015849792111365e-127
330.0ms	9.758570753645675e-148	1.093489873360184e-140
94.0ms	3.1111907158083186e-224	1.8763598196429356e-223
155.0ms	-2.8641232090229698e-213	-1.1805913502522428e-231
166.0ms	-1.8893156026417643e-167	-5.7869531274077894e-170
47.0ms	-3.774279631201573e-59	-1.585369427622805e-64

Compiler

Compiled 926 to 703 computations (24.1% saved)

regimes342.0ms (1.9%)

Counts

20 → 5

Calls

Call 1

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

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

Calls

4 calls:

107.0ms	y
89.0ms	x
80.0ms	t
60.0ms	z

Results

Error	Segments	Branch
23.4b	5	`x`
24.7b	6	`y`
31.4b	5	`z`
32.5b	9	`t`

Compiler

Compiled 128 to 75 computations (41.4% saved)

bsearch166.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
41.0ms	6.2744705569812585e+29	1.244105322599127e+33
42.0ms	6.735234440178702e-278	5.58401356233735e-274
41.0ms	-5.251499112551486e-277	-1.2484257541086532e-282
42.0ms	-1.2270237265183216e+97	-6.781766884947909e+93

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes795.0ms (4.4%)

Counts

16 → 8

Calls

Call 1

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

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

Calls

4 calls:

453.0ms	y
138.0ms	t
117.0ms	z
78.0ms	x

Results

Error	Segments	Branch
23.6b	5	`x`
23.5b	8	`y`
31.4b	5	`z`
32.5b	9	`t`

Compiler

Compiled 100 to 59 computations (41% saved)

bsearch769.0ms (4.3%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
25.0ms	2.302119268894705e+118	4.361946463625228e+122
181.0ms	1.1279312558935783e-133	9.015849792111365e-127
178.0ms	9.758570753645675e-148	1.093489873360184e-140
204.0ms	3.1111907158083186e-224	1.8763598196429356e-223
11.0ms	-4.421782284264124e-248	-4.0418610851766055e-248
129.0ms	-2.8641232090229698e-213	-1.1805913502522428e-231
41.0ms	-1.222067839580321e-34	-4.564300555317372e-36

Compiler

Compiled 662 to 513 computations (22.5% saved)

regimes178.0ms (1%)

Counts

12 → 5

Calls

Call 1

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

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

Calls

4 calls:

61.0ms	t
41.0ms	y
39.0ms	z
32.0ms	x

Results

Error	Segments	Branch
24.1b	5	`x`
24.7b	6	`y`
31.6b	5	`z`
32.5b	9	`t`

Compiler

Compiled 72 to 45 computations (37.5% saved)

bsearch171.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
40.0ms	6.2744705569812585e+29	1.244105322599127e+33
38.0ms	6.735234440178702e-278	5.58401356233735e-274
59.0ms	-5.251499112551486e-277	-1.2484257541086532e-282
33.0ms	-1.2270237265183216e+97	-6.781766884947909e+93

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes403.0ms (2.2%)

Counts

11 → 5

Calls

Call 1

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

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

Calls

4 calls:

216.0ms	t
76.0ms	y
71.0ms	x
36.0ms	z

Results

Error	Segments	Branch
24.1b	5	`x`
24.7b	6	`y`
31.6b	5	`z`
32.5b	9	`t`

Compiler

Compiled 65 to 41 computations (36.9% saved)

bsearch180.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	6.2744705569812585e+29	1.244105322599127e+33
44.0ms	6.735234440178702e-278	5.58401356233735e-274
24.0ms	-5.251499112551486e-277	-1.2484257541086532e-282
89.0ms	-1.2270237265183216e+97	-6.781766884947909e+93

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes88.0ms (0.5%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

4 calls:

24.0ms	z
23.0ms	t
18.0ms	y
18.0ms	x

Results

Error	Segments	Branch
25.8b	3	`x`
28.8b	3	`y`
33.3b	3	`z`
37.0b	4	`t`

Compiler

Compiled 58 to 37 computations (36.2% saved)

bsearch48.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	6.2744705569812585e+29	1.244105322599127e+33
25.0ms	-1.2270237265183216e+97	-6.781766884947909e+93

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes48.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

4 → 1

Calls

Call 1

Inputs
x
x
x
x

Outputs
x

Calls

4 calls:

35.0ms	t
4.0ms	x
4.0ms	y
4.0ms	z

Results

Error	Segments	Branch
40.2b	1	`x`
40.2b	1	`y`
40.2b	1	`z`
40.2b	1	`t`

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify113.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative_binary64`
25×	`*-commutative_binary64`
16×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	1091
1	210	1091
2	247	1091
3	269	1091
4	282	1091
5	285	1091

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 t -1072056812098653/1766847064778384329583297500742918515827483896875618958121606201292619776) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (+.f64 0 (.f64 z (.f64 3 y))))) (if (<=.f64 t 3380391933851959/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216) (+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 (/.f64 t y) (.f64 z 3))) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 1/3 (*.f64 y (/.f64 z t))))))
(if (<=.f64 t -100000000000000000) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 3 (.f64 y z)))) (if (<=.f64 t 3380391933851959/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216) (+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 (/.f64 t y) (.f64 z 3))) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 1/3 (*.f64 y (/.f64 z t))))))
(if (<=.f64 t -1072056812098653/1766847064778384329583297500742918515827483896875618958121606201292619776) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (.f64 z 3) y))) (if (<=.f64 t 3380391933851959/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216) (+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 (/.f64 t y) (.f64 z 3))) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 1/3 (.f64 y (/.f64 z t))))))
(if (<=.f64 t -1000000000000000019884624838656) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 3 (.f64 y z)))) (if (<=.f64 t 3380391933851959/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216) (+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 (/.f64 t y) (.f64 z 3))) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 1/3 (.f64 y (/.f64 z t))))))
(if (<=.f64 t -2565164695847291/441711766194596082395824375185729628956870974218904739530401550323154944) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 1/3 (.f64 y (/.f64 z t)))) (if (<=.f64 t 3380391933851959/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216) (+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 (/.f64 t y) (.f64 z 3))) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 1/3 (*.f64 y (/.f64 z t))))))
(if (<=.f64 y -1477776067823665/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 (/.f64 t y) (.f64 z 3))) (if (<=.f64 y 1248699420126397/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (+.f64 (/.f64 (/.f64 (.f64 t 1/3) z) y) x) (+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 (/.f64 t y) (*.f64 z 3)))))
(if (<=.f64 y -1477776067823665/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (+.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x) (if (<=.f64 y 4085191478654385/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (+.f64 (/.f64 (/.f64 (.f64 t 1/3) z) y) x) (+.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x)))
(if (<=.f64 y -3131868581726603/842498333348457493583344221469363458551160763204392890034487820288) (-.f64 x (.f64 1/3 (/.f64 y z))) (if (<=.f64 y 4509411812797083/46768052394588893382517914646921056628989841375232) (+.f64 (/.f64 (/.f64 (.f64 t 1/3) z) y) x) (if (<=.f64 y 587053818097889/604462909807314587353088) (/.f64 (-.f64 (/.f64 t y) y) (.f64 z 3)) (if (<=.f64 y 1018136246064246787094709093881872384) (+.f64 (/.f64 1/3 (/.f64 z (/.f64 t y))) x) (-.f64 x (.f64 1/3 (/.f64 y z)))))))
(if (<=.f64 y -3131868581726603/842498333348457493583344221469363458551160763204392890034487820288) (-.f64 x (.f64 1/3 (/.f64 y z))) (if (<=.f64 y 4509411812797083/46768052394588893382517914646921056628989841375232) (+.f64 (/.f64 (/.f64 (.f64 t 1/3) z) y) x) (if (<=.f64 y 587053818097889/604462909807314587353088) (/.f64 (-.f64 (/.f64 t y) y) (.f64 z 3)) (if (<=.f64 y 1018136246064246787094709093881872384) (+.f64 (/.f64 (/.f64 (.f64 t 1/3) z) y) x) (-.f64 x (*.f64 1/3 (/.f64 y z)))))))
(if (<=.f64 x -6205379288588751/14474011154664524427946373126085988481658748083205070504932198000989141204992) (-.f64 x (.f64 1/3 (/.f64 y z))) (if (<=.f64 x 8006157338749081/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (/.f64 (-.f64 (/.f64 t y) y) (.f64 z 3)) (-.f64 x (*.f64 1/3 (/.f64 y z)))))
(if (<=.f64 y -4267887928346459/113078212145816597093331040047546785012958969400039613319782796882727665664) (-.f64 x (.f64 1/3 (/.f64 y z))) (if (<=.f64 y -614128304194387/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008) (.f64 (/.f64 t z) (/.f64 1/3 y)) (if (<=.f64 y -8390303882365711/6991919901971426075297554671307333615898862102580725715195666431228287110681861367027657291461090911970058473930419853533788296083269867358507086435928852446414275954096487329654980776728266302794199220759703429559553357814144917874843453883416576) x (if (<=.f64 y 3334007216439927/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584) (/.f64 (/.f64 (.f64 t 1/3) z) y) (if (<=.f64 y 4505023464460713/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (-.f64 x (.f64 1/3 (/.f64 y z))) (if (<=.f64 y 1470468437140845/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (.f64 (/.f64 t z) (/.f64 1/3 y)) (-.f64 x (.f64 1/3 (/.f64 y z)))))))))
(if (<=.f64 x -12270237265183216010318839426959867292516786026495415566459827133094821753081950240638038047719424) x (if (<=.f64 x -327536050447377/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464) (/.f64 y (.f64 z -3)) (if (<=.f64 x 2688490477975033/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696) (.f64 1/3 (/.f64 t (.f64 y z))) (if (<=.f64 x 627447055698125850712645566464) (/.f64 y (.f64 z -3)) x))))
(if (<=.f64 y -5715373275123451/46768052394588893382517914646921056628989841375232) (/.f64 y (.f64 z -3)) (if (<=.f64 y -8390303882365711/6991919901971426075297554671307333615898862102580725715195666431228287110681861367027657291461090911970058473930419853533788296083269867358507086435928852446414275954096487329654980776728266302794199220759703429559553357814144917874843453883416576) x (if (<=.f64 y -2645059860670321/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (.f64 (/.f64 t y) (/.f64 1/3 z)) (if (<=.f64 y 3334007216439927/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584) (/.f64 (/.f64 (.f64 t 1/3) z) y) (if (<=.f64 y 4505023464460713/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) x (if (<=.f64 y 1470468437140845/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (.f64 (/.f64 t z) (/.f64 1/3 y)) (if (<=.f64 y 23021192688947050793092559140737488745030499934641747666858575215561983979558582239912114319647770625888133700856578048) x (/.f64 y (*.f64 z -3)))))))))
(if (<=.f64 x -12270237265183216010318839426959867292516786026495415566459827133094821753081950240638038047719424) x (if (<=.f64 x -327536050447377/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464) (/.f64 y (.f64 z -3)) (if (<=.f64 x 2688490477975033/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696) (/.f64 (/.f64 (.f64 t 1/3) z) y) (if (<=.f64 x 627447055698125850712645566464) (/.f64 y (*.f64 z -3)) x))))
(if (<=.f64 x -12270237265183216010318839426959867292516786026495415566459827133094821753081950240638038047719424) x (if (<=.f64 x -327536050447377/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464) (/.f64 y (.f64 z -3)) (if (<=.f64 x 2688490477975033/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696) (.f64 (/.f64 t z) (/.f64 1/3 y)) (if (<=.f64 x 627447055698125850712645566464) (/.f64 y (*.f64 z -3)) x))))
(if (<=.f64 x -12270237265183216010318839426959867292516786026495415566459827133094821753081950240638038047719424) x (if (<=.f64 x 627447055698125850712645566464) (/.f64 y (*.f64 z -3)) x))
x

Outputs
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(if (<=.f64 t -1072056812098653/1766847064778384329583297500742918515827483896875618958121606201292619776) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 z (.f64 y 3)))) (if (<=.f64 t 3380391933851959/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216) (+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 (/.f64 t y) (.f64 z 3))) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 1/3 (*.f64 y (/.f64 z t))))))
(if (<=.f64 t -1072056812098653/1766847064778384329583297500742918515827483896875618958121606201292619776) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 z (.f64 y 3)))) (if (<=.f64 t 3380391933851959/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216) (+.f64 (+.f64 x (.f64 (/.f64 y 3) (/.f64 -1 z))) (/.f64 (/.f64 t y) (.f64 z 3))) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 1/3 (*.f64 y (/.f64 z t))))))
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(if (<=.f64 y -1477776067823665/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 (/.f64 t y) (.f64 z 3))) (if (<=.f64 y 1248699420126397/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (+.f64 (/.f64 (/.f64 (.f64 t 1/3) z) y) x) (+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 (/.f64 t y) (*.f64 z 3)))))
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(if (<=.f64 y -1477776067823665/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (+.f64 x (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))) (if (<=.f64 y 4085191478654385/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (+.f64 x (/.f64 (/.f64 (.f64 t 1/3) z) y)) (+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))))
(if (<=.f64 y -3131868581726603/842498333348457493583344221469363458551160763204392890034487820288) (-.f64 x (.f64 1/3 (/.f64 y z))) (if (<=.f64 y 4509411812797083/46768052394588893382517914646921056628989841375232) (+.f64 (/.f64 (/.f64 (.f64 t 1/3) z) y) x) (if (<=.f64 y 587053818097889/604462909807314587353088) (/.f64 (-.f64 (/.f64 t y) y) (.f64 z 3)) (if (<=.f64 y 1018136246064246787094709093881872384) (+.f64 (/.f64 1/3 (/.f64 z (/.f64 t y))) x) (-.f64 x (.f64 1/3 (/.f64 y z)))))))
(if (<=.f64 y -3131868581726603/842498333348457493583344221469363458551160763204392890034487820288) (+.f64 x (.f64 -1/3 (/.f64 y z))) (if (<=.f64 y 4509411812797083/46768052394588893382517914646921056628989841375232) (+.f64 x (/.f64 (/.f64 (.f64 t 1/3) z) y)) (if (<=.f64 y 587053818097889/604462909807314587353088) (/.f64 (-.f64 (/.f64 t y) y) (.f64 z 3)) (if (<=.f64 y 1018136246064246787094709093881872384) (+.f64 x (/.f64 1/3 (/.f64 z (/.f64 t y)))) (+.f64 x (.f64 -1/3 (/.f64 y z)))))))
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(if (<=.f64 y -4267887928346459/113078212145816597093331040047546785012958969400039613319782796882727665664) (+.f64 x (.f64 -1/3 (/.f64 y z))) (if (<=.f64 y -614128304194387/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008) (.f64 (/.f64 t z) (/.f64 1/3 y)) (if (<=.f64 y -8390303882365711/6991919901971426075297554671307333615898862102580725715195666431228287110681861367027657291461090911970058473930419853533788296083269867358507086435928852446414275954096487329654980776728266302794199220759703429559553357814144917874843453883416576) x (if (<=.f64 y 3334007216439927/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584) (/.f64 (/.f64 (.f64 t 1/3) z) y) (if (<=.f64 y 4505023464460713/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (+.f64 x (.f64 -1/3 (/.f64 y z))) (if (<=.f64 y 1470468437140845/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (.f64 (/.f64 t z) (/.f64 1/3 y)) (+.f64 x (.f64 -1/3 (/.f64 y z)))))))))
(if (<=.f64 y -4267887928346459/113078212145816597093331040047546785012958969400039613319782796882727665664) (+.f64 x (.f64 (/.f64 y z) -1/3)) (if (<=.f64 y -614128304194387/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008) (.f64 (/.f64 t z) (/.f64 1/3 y)) (if (<=.f64 y -8390303882365711/6991919901971426075297554671307333615898862102580725715195666431228287110681861367027657291461090911970058473930419853533788296083269867358507086435928852446414275954096487329654980776728266302794199220759703429559553357814144917874843453883416576) x (if (<=.f64 y 3334007216439927/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584) (/.f64 (/.f64 (.f64 t 1/3) z) y) (if (<=.f64 y 4505023464460713/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (+.f64 x (.f64 (/.f64 y z) -1/3)) (if (<=.f64 y 1470468437140845/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (.f64 (/.f64 t z) (/.f64 1/3 y)) (+.f64 x (.f64 (/.f64 y z) -1/3))))))))
(if (<=.f64 x -12270237265183216010318839426959867292516786026495415566459827133094821753081950240638038047719424) x (if (<=.f64 x -327536050447377/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464) (/.f64 y (.f64 z -3)) (if (<=.f64 x 2688490477975033/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696) (.f64 1/3 (/.f64 t (.f64 y z))) (if (<=.f64 x 627447055698125850712645566464) (/.f64 y (.f64 z -3)) x))))
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(if (<=.f64 x -12270237265183216010318839426959867292516786026495415566459827133094821753081950240638038047719424) x (if (<=.f64 x 627447055698125850712645566464) (/.f64 y (*.f64 z -3)) x))
x

Compiler

Compiled 818 to 521 computations (36.3% saved)

soundness236.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	1405
1	94	1333
2	204	1333
3	425	1267
4	998	1267
5	2691	1267
6	6159	1267
7	7787	1267
0	11	576
1	21	576
2	44	576
3	70	576
4	94	576
5	96	576

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 129 to 101 computations (21.7% saved)

end707.0ms (3.9%)

Compiler: Compiled 754 to 426 computations (43.5% saved)