Details

analyze448.0ms (3.2%)

Algorithm

1×

Search

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

Compiler

Compiled 20 to 14 computations (30% saved)

sample1.9s (13.9%)

Results

1.4s	8256×	body	256	valid
517.0ms	3118×	body	256	invalid

preprocess97.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify113.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune4.0ms (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
▶	3.4b	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
▶	3.7b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))

Compiler

Compiled 33 to 22 computations (33.3% saved)

localize41.0ms (0.3%)

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)
✓	0.2b	(/.f64 y (*.f64 z 3))
✓	6.1b	(/.f64 t (.f64 (.f64 z 3) y))

Compiler

Compiled 51 to 30 computations (41.2% saved)

series39.0ms (0.3%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(.f64 (.f64 z 3) y)
3.0ms	y	@	0	(/.f64 t (.f64 (.f64 z 3) y))
2.0ms	t	@	0	(/.f64 t (.f64 (.f64 z 3) y))
2.0ms	t	@	inf	(/.f64 t (.f64 (.f64 z 3) y))
2.0ms	x	@	0	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))

rewrite128.0ms (0.9%)

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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simplify114.0ms (0.8%)

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

localize12.0ms (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)
✓	3.3b	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)

Compiler

Compiled 30 to 12 computations (60% saved)

series9.0ms (0.1%)

Counts

3 → 72

Calls

21 calls:

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

rewrite95.0ms (0.7%)

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)))))

simplify135.0ms (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))

eval173.0ms (1.2%)

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

prune87.0ms (0.6%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	436	20	456
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	437	21	458

Error

Counts

458 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	24.6b	(+.f64 (.f64 1/3 (/.f64 t (.f64 y z))) x)
	22.1b	(fma.f64 (/.f64 t z) (/.f64 1/3 y) x)
	49.3b	(.f64 1/3 (/.f64 t (.f64 y z)))
▶	1.2b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 y) (*.f64 t (/.f64 1/3 z))))
	36.9b	x
	3.5b	(fma.f64 (pow.f64 (/.f64 z -1/3) -1) (-.f64 y (/.f64 t y)) x)
	29.3b	(*.f64 (-.f64 (/.f64 t y) y) (/.f64 1/3 z))
	16.3b	(-.f64 x (*.f64 1/3 (/.f64 y z)))
▶	3.7b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 3 (*.f64 y z))))
	3.6b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 (/.f64 1/3 z) y) t))
	29.3b	(/.f64 (-.f64 (.f64 1/3 (/.f64 t y)) (.f64 1/3 y)) z)
✓	3.7b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
	42.4b	(*.f64 y (/.f64 -1/3 z))
	3.7b	(+.f64 (-.f64 x (pow.f64 (.f64 3 (/.f64 z y)) -1)) (/.f64 t (.f64 (*.f64 z 3) y)))
	3.7b	(+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
	42.4b	(/.f64 y (/.f64 z -1/3))
▶	42.4b	(*.f64 -1/3 (/.f64 y z))
▶	49.2b	(*.f64 t (/.f64 (/.f64 1/3 y) z))
	3.4b	(+.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x)
	29.6b	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
	3.5b	(fma.f64 (*.f64 (/.f64 1 z) -1/3) (-.f64 y (/.f64 t y)) x)

Compiler

Compiled 572 to 405 computations (29.2% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 63 to 40 computations (36.5% saved)

series7.0ms (0.1%)

Counts

3 → 60

Calls

18 calls:

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

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

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

Outputs

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

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

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

simplify27.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

201 → 145

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 8 computations (46.7% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite48.0ms (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))))))))

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1/3 y) z)
✓	0.3b	(/.f64 1/3 y)
✓	5.9b	(*.f64 t (/.f64 (/.f64 1/3 y) z))

Compiler

Compiled 23 to 14 computations (39.1% saved)

series10.0ms (0.1%)

Counts

3 → 60

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	z	@	inf	(/.f64 (/.f64 1/3 y) z)
1.0ms	y	@	0	(/.f64 (/.f64 1/3 y) z)
0.0ms	z	@	0	(/.f64 (/.f64 1/3 y) z)
0.0ms	z	@	-inf	(/.f64 (/.f64 1/3 y) z)
0.0ms	t	@	0	(*.f64 t (/.f64 (/.f64 1/3 y) z))

rewrite65.0ms (0.5%)

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))))))))

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

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)
✓	0.5b	(.f64 1/3 (/.f64 t (.f64 y z)))
✓	5.9b	(/.f64 t (*.f64 y z))

Compiler

Compiled 33 to 12 computations (63.6% saved)

series10.0ms (0.1%)

Counts

3 → 12

Calls

30 calls:

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

rewrite74.0ms (0.5%)

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

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 3 (*.f64 y z))))
	0.2b	(/.f64 y (*.f64 z 3))
✓	0.3b	(.f64 3 (.f64 y z))
✓	6.1b	(/.f64 t (.f64 3 (.f64 y z)))

Compiler

Compiled 54 to 28 computations (48.1% saved)

series7.0ms (0.1%)

Counts

3 → 84

Calls

27 calls:

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

rewrite104.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

678×	`fma-def_binary64`
395×	`fma-neg_binary64`
292×	`log-div_binary64`
282×	`expm1-udef_binary64`
282×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	298	37
2	4811	37

Stop Event

1×	node limit

Counts

3 → 158

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 (*.f64 y (/.f64 1/3 z)) (/.f64 (*.f64 t 1/3) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 t (/.f64 1/3 (*.f64 y z)) x) (*.f64 y (/.f64 1/3 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 y) (/.f64 1/3 z) x) 2) (-.f64 x (fma.f64 y (/.f64 1/3 z) (/.f64 (*.f64 t 1/3) (*.f64 y z))))) (/.f64 (pow.f64 (/.f64 (*.f64 t 1/3) (*.f64 y z)) 2) (-.f64 x (fma.f64 y (/.f64 1/3 z) (/.f64 (*.f64 t 1/3) (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 t (/.f64 1/3 (*.f64 y z)) x) (*.f64 y (/.f64 1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 t (/.f64 1/3 (*.f64 y z)) x) (*.f64 y (/.f64 1/3 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 t (/.f64 1/3 (*.f64 y z)) x) (*.f64 y (/.f64 1/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 t 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simplify101.0ms (0.7%)

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	1069
1	89	997
2	193	997
3	412	931
4	986	931
5	2659	931
6	6012	931
7	7593	931

Stop Event

1×	node limit

Counts

242 → 173

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

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

eval248.0ms (1.8%)

Compiler: Compiled 11892 to 6729 computations (43.4% saved)

prune204.0ms (1.5%)

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	638	11	649
Fresh	9	6	15
Picked	1	0	1
Done	2	3	5
Total	650	20	670

Error

Counts

670 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	49.3b	(/.f64 (.f64 t 1/3) (.f64 y z))
	29.3b	(*.f64 (-.f64 (/.f64 t y) y) (/.f64 1/3 z))
	24.7b	(+.f64 (/.f64 1/3 (/.f64 z (/.f64 t y))) x)
	36.9b	x
▶	3.5b	(fma.f64 (*.f64 (/.f64 1 z) -1/3) (-.f64 y (/.f64 t y)) x)
▶	29.6b	(*.f64 1/3 (/.f64 (-.f64 (/.f64 t y) y) z))
	24.6b	(+.f64 (/.f64 (*.f64 (/.f64 t y) 1/3) z) x)
✓	3.7b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
	49.8b	(/.f64 (*.f64 t (/.f64 1/3 y)) z)
▶	42.4b	(*.f64 y (/.f64 -1/3 z))
	3.7b	(+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
	42.4b	(/.f64 y (/.f64 z -1/3))
✓	42.4b	(*.f64 -1/3 (/.f64 y z))
	49.3b	(/.f64 t (*.f64 (/.f64 z 1/3) y))
	29.3b	(/.f64 (-.f64 (.f64 1/3 (/.f64 t y)) (.f64 1/3 y)) z)
▶	22.1b	(+.f64 (/.f64 (/.f64 (*.f64 t 1/3) z) y) x)
✓	49.2b	(*.f64 t (/.f64 (/.f64 1/3 y) z))
	49.2b	(*.f64 (/.f64 (/.f64 1/3 z) y) t)
	42.4b	(/.f64 -1/3 (/.f64 z y))
▶	16.3b	(-.f64 x (*.f64 1/3 (/.f64 y z)))

Compiler

Compiled 442 to 318 computations (28.1% saved)

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 (/.f64 1 z) -1/3)
✓	3.3b	(fma.f64 (*.f64 (/.f64 1 z) -1/3) (-.f64 y (/.f64 t y)) x)

Compiler

Compiled 38 to 19 computations (50% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`prod-diff_binary64`
603×	`log-prod_binary64`
334×	`pow2_binary64`
237×	`fma-def_binary64`
230×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	256	18
2	3377	18

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify162.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1440×	`fma-def_binary64`
722×	`div-sub_binary64`
469×	`fma-neg_binary64`
358×	`times-frac_binary64`
278×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	619
1	46	619
2	97	619
3	175	619
4	326	619
5	605	619
6	1221	619
7	2284	619
8	4960	619
9	6133	619
10	6931	619
11	7410	619
12	7673	619

Stop Event

1×	node limit

Counts

111 → 64

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

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

localize14.0ms (0.1%)

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)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite65.0ms (0.5%)

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))))))))

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	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))

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 11 computations (52.2% saved)

series7.0ms (0.1%)

Counts

2 → 36

Calls

15 calls:

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

rewrite123.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 178

Calls

Call 1

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

Outputs

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

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

simplify29.0ms (0.2%)

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)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 t y) y)
✓	0.6b	(*.f64 1/3 (/.f64 (-.f64 (/.f64 t y) y) z))
✓	3.2b	(/.f64 (-.f64 (/.f64 t y) y) z)

Compiler

Compiled 32 to 10 computations (68.8% saved)

series19.0ms (0.1%)

Counts

3 → 72

Calls

24 calls:

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

rewrite165.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

818×	`prod-diff_binary64`
565×	`log-prod_binary64`
286×	`pow2_binary64`
246×	`fma-def_binary64`
208×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	206	30
2	3085	30

Stop Event

1×	node limit

Counts

3 → 353

Calls

Call 1

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

Outputs

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

simplify113.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

851×	`div-sub_binary64`
721×	`times-frac_binary64`
705×	`fma-neg_binary64`
315×	`fma-def_binary64`
291×	`neg-mul-1_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	18	831
1	36	777
2	72	777
3	118	777
4	165	777
5	223	777
6	345	777
7	534	759
8	1186	651
9	3107	651
10	5963	651
11	7497	651

Stop Event

1×	node limit

Counts

425 → 369

Calls

Call 1

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (/.f64 (*.f64 t 1/3) z) y) x)
✓	0.2b	(/.f64 (*.f64 t 1/3) z)
✓	0.3b	(*.f64 t 1/3)
✓	4.6b	(/.f64 (/.f64 (*.f64 t 1/3) z) y)

Compiler

Compiled 33 to 19 computations (42.4% saved)

series9.0ms (0.1%)

Counts

4 → 120

Calls

30 calls:

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

rewrite90.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 179

Calls

Call 1

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

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

simplify39.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

16×	`associate-/l*_binary64`
11×	`associate-*r/_binary64`
8×	`fma-def_binary64`
7×	`associate-/r/_binary64`
6×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	1029
1	23	1029
2	46	1029
3	75	1029
4	91	1029
5	92	1029

Stop Event

1×

saturated

Counts

299 → 186

Calls

Call 1

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

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

eval385.0ms (2.8%)

Compiler: Compiled 23436 to 10634 computations (54.6% saved)

prune198.0ms (1.4%)

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	999	9	1008
Fresh	6	6	12
Picked	0	1	1
Done	2	5	7
Total	1007	21	1028

Error

Counts

1028 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	16.3b	(-.f64 x (/.f64 1/3 (/.f64 z y)))
▶	49.2b	(*.f64 (/.f64 (/.f64 1/3 z) y) t)
	49.3b	(/.f64 t (.f64 y (.f64 z 3)))
	49.7b	(*.f64 (/.f64 t y) (/.f64 1/3 z))
✓	16.3b	(-.f64 x (*.f64 1/3 (/.f64 y z)))
	49.8b	(/.f64 (*.f64 t (/.f64 1/3 y)) z)
✓	42.4b	(*.f64 y (/.f64 -1/3 z))
▶	3.7b	(+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
	42.4b	(/.f64 y (/.f64 z -1/3))
	29.4b	(/.f64 1/3 (/.f64 z (-.f64 (/.f64 t y) y)))
✓	42.4b	(*.f64 -1/3 (/.f64 y z))
	22.1b	(+.f64 (*.f64 (/.f64 t z) (/.f64 1/3 y)) x)
✓	22.1b	(+.f64 (/.f64 (/.f64 (*.f64 t 1/3) z) y) x)
✓	49.2b	(*.f64 t (/.f64 (/.f64 1/3 y) z))
▶	50.0b	(*.f64 1/3 (/.f64 (/.f64 t y) z))
▶	49.3b	(/.f64 (.f64 t 1/3) (.f64 y z))
▶	42.4b	(/.f64 -1/3 (/.f64 z y))
	42.4b	(.f64 y (.f64 (/.f64 1 z) -1/3))
	42.4b	(/.f64 y (*.f64 z -3))
	36.9b	x
✓	29.6b	(*.f64 1/3 (/.f64 (-.f64 (/.f64 t y) y) z))

Compiler

Compiled 395 to 290 computations (26.6% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
	0.2b	(.f64 (.f64 z 3) y)
✓	0.3b	(*.f64 (/.f64 1 z) (/.f64 y 3))
	6.1b	(/.f64 t (.f64 (.f64 z 3) y))

Compiler

Compiled 64 to 41 computations (35.9% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite95.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

798×	`fma-def_binary64`
373×	`fma-neg_binary64`
308×	`expm1-udef_binary64`
308×	`log1p-udef_binary64`
251×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	344	29
2	5361	29

Stop Event

1×	node limit

Counts

2 → 151

Calls

Call 1

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

Outputs

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

simplify100.0ms (0.7%)

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	877
1	89	805
2	192	805
3	411	739
4	982	739
5	2637	739
6	5992	739
7	7575	739

Stop Event

1×	node limit

Counts

223 → 170

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 8 computations (46.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	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))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 1/3 (/.f64 (/.f64 t y) z))
✓	5.0b	(/.f64 (/.f64 t y) z)

Compiler

Compiled 23 to 9 computations (60.9% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

479×	`log-prod_binary64`
371×	`exp-prod_binary64`
311×	`prod-exp_binary64`
272×	`pow-prod-down_binary64`
234×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	174	17
2	2412	17

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

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

Outputs

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

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

simplify27.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	612
1	14	612
2	32	612
3	58	612
4	82	612
5	84	612

Stop Event

1×

saturated

Counts

162 → 94

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1/3 z) y)
	0.4b	(/.f64 1/3 z)
✓	5.9b	(*.f64 (/.f64 (/.f64 1/3 z) y) t)

Compiler

Compiled 23 to 14 computations (39.1% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite63.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

Outputs

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

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

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

123 → 67

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`pow1_binary64`
915×	`add-log-exp_binary64`
915×	`log1p-expm1-u_binary64`
915×	`expm1-log1p-u_binary64`
87×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	171	10
2	2386	10

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

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

Outputs

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

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

89 → 54

Calls

Call 1

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

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

eval175.0ms (1.3%)

Compiler: Compiled 8632 to 4931 computations (42.9% saved)

prune104.0ms (0.7%)

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	525	4	529
Fresh	3	7	10
Picked	0	1	1
Done	2	8	10
Total	530	20	550

Error

Counts

550 → 20

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.1b	(+.f64 (/.f64 (/.f64 (*.f64 t 1/3) z) y) x)
	48.0b	(/.f64 (*.f64 (/.f64 1/3 z) t) y)
	16.3b	(-.f64 x (/.f64 1/3 (/.f64 z y)))
✓	49.2b	(*.f64 (/.f64 (/.f64 1/3 z) y) t)
	42.4b	(/.f64 y (*.f64 z -3))
	47.9b	(*.f64 (/.f64 t z) (/.f64 1/3 y))
	36.9b	x
	3.7b	(+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (.f64 (.f64 z 3) y)))
	42.4b	(/.f64 y (/.f64 z -1/3))
	29.4b	(/.f64 1/3 (/.f64 z (-.f64 (/.f64 t y) y)))
✓	42.4b	(*.f64 -1/3 (/.f64 y z))
	22.1b	(+.f64 (*.f64 (/.f64 t z) (/.f64 1/3 y)) x)
✓	50.0b	(*.f64 1/3 (/.f64 (/.f64 t y) z))
	49.8b	(/.f64 (*.f64 (/.f64 t y) 1/3) z)
✓	49.3b	(/.f64 (.f64 t 1/3) (.f64 y z))
✓	42.4b	(/.f64 -1/3 (/.f64 z y))
	42.4b	(.f64 y (.f64 (/.f64 1 z) -1/3))
✓	16.3b	(-.f64 x (*.f64 1/3 (/.f64 y z)))
✓	29.6b	(*.f64 1/3 (/.f64 (-.f64 (/.f64 t y) y) z))
✓	42.4b	(*.f64 y (/.f64 -1/3 z))

Compiler

Compiled 220 to 161 computations (26.8% saved)

regimes194.0ms (1.4%)

Counts

46 → 1

Calls

Call 1

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

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

Calls

7 calls:

27.0ms	t
26.0ms	x
26.0ms	(*.f64 z 3)
26.0ms	z
25.0ms	y

Results

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

Compiler

Compiled 457 to 248 computations (45.7% saved)

regimes412.0ms (3%)

Counts

39 → 3

Calls

Call 1

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

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

Calls

7 calls:

62.0ms	x
59.0ms	y
58.0ms	(*.f64 z 3)
57.0ms	z
57.0ms	(*.f64 z 3)

Results

Error	Segments	Branch
2.4b	2	`x`
0.9b	3	`y`
0.6b	3	`z`
0.6b	3	`t`
0.6b	3	`(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))`
0.6b	3	`(*.f64 z 3)`
0.6b	3	`(*.f64 z 3)`

Compiler

Compiled 364 to 200 computations (45.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.088605386334986e-143	1.281476183265897e-141
0.0ms	-7.045252550179466e+138	-1.6532844935735334e+138

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes368.0ms (2.6%)

Counts

37 → 3

Calls

Call 1

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

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

Calls

6 calls:

72.0ms	x
58.0ms	y
57.0ms	(*.f64 z 3)
57.0ms	(*.f64 z 3)
56.0ms	t

Results

Error	Segments	Branch
1.4b	4	`x`
0.9b	3	`y`
0.7b	3	`z`
0.6b	3	`t`
0.7b	3	`(*.f64 z 3)`
0.7b	3	`(*.f64 z 3)`

Compiler

Compiled 315 to 169 computations (46.3% saved)

bsearch52.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	5.174005024285197e-16	8.112450027873649e-16
26.0ms	-1.2794547621366762e-88	-4.57523340105046e-89

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes355.0ms (2.5%)

Counts

36 → 3

Calls

Call 1

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

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

Calls

6 calls:

74.0ms	x
55.0ms	t
54.0ms	z
54.0ms	(*.f64 z 3)
53.0ms	(*.f64 z 3)

Results

Error	Segments	Branch
1.4b	4	`x`
0.9b	3	`y`
0.7b	3	`z`
0.7b	3	`t`
0.7b	3	`(*.f64 z 3)`
0.7b	3	`(*.f64 z 3)`

Compiler

Compiled 300 to 161 computations (46.3% saved)

bsearch45.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	8.112450027873649e-16	8.364813633063962e-16
44.0ms	-3.7384676075599395e+23	-4.822110255708213e+20

Compiler

Compiled 62 to 44 computations (29% saved)

regimes289.0ms (2.1%)

Counts

35 → 3

Calls

Call 1

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

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:

64.0ms	(*.f64 z 3)
58.0ms	(*.f64 z 3)
54.0ms	z
50.0ms	y
23.0ms	t

Results

Error	Segments	Branch
3.4b	1	`x`
0.9b	3	`y`
2.2b	3	`z`
3.4b	1	`t`
2.2b	3	`(*.f64 z 3)`
2.2b	3	`(*.f64 z 3)`

Compiler

Compiled 285 to 153 computations (46.3% saved)

bsearch50.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	9.039753357728365e-119	2.9704253043163794e-114
25.0ms	-4.215015821444856e-123	-1.0919817480998819e-125

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes487.0ms (3.5%)

Counts

34 → 4

Calls

Call 1

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

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

Calls

6 calls:

89.0ms	x
85.0ms	(*.f64 z 3)
84.0ms	(*.f64 z 3)
81.0ms	t
77.0ms	z

Results

Error	Segments	Branch
6.4b	5	`x`
4.3b	4	`y`
10.7b	5	`z`
11.4b	5	`t`
10.7b	5	`(*.f64 z 3)`
10.7b	5	`(*.f64 z 3)`

Compiler

Compiled 274 to 149 computations (45.6% saved)

bsearch79.0ms (0.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
26.0ms	2.151754503387541e-39	5.895947201429756e-39
26.0ms	-6.16280358870359e-11	-8.964098585878414e-13
28.0ms	-5.133301751857722e+35	-2.235630777787135e+35

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes613.0ms (4.4%)

Counts

32 → 4

Calls

Call 1

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

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

Calls

6 calls:

162.0ms	x
109.0ms	y
100.0ms	z
77.0ms	(*.f64 z 3)
76.0ms	t

Results

Error	Segments	Branch
6.4b	5	`x`
4.3b	4	`y`
10.7b	5	`z`
11.4b	5	`t`
10.7b	5	`(*.f64 z 3)`
10.7b	5	`(*.f64 z 3)`

Compiler

Compiled 252 to 137 computations (45.6% saved)

bsearch128.0ms (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
35.0ms	2.151754503387541e-39	5.895947201429756e-39
45.0ms	-6.16280358870359e-11	-8.964098585878414e-13
47.0ms	-5.133301751857722e+35	-2.235630777787135e+35

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes519.0ms (3.7%)

Counts

30 → 4

Calls

Call 1

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

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

Calls

6 calls:

173.0ms	x
72.0ms	(*.f64 z 3)
72.0ms	(*.f64 z 3)
68.0ms	z
67.0ms	t

Results

Error	Segments	Branch
6.5b	5	`x`
4.3b	4	`y`
10.7b	5	`z`
11.4b	5	`t`
10.7b	5	`(*.f64 z 3)`
10.7b	5	`(*.f64 z 3)`

Compiler

Compiled 234 to 130 computations (44.4% saved)

bsearch82.0ms (0.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
26.0ms	2.151754503387541e-39	5.895947201429756e-39
27.0ms	-6.16280358870359e-11	-8.964098585878414e-13
28.0ms	-5.133301751857722e+35	-2.235630777787135e+35

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes410.0ms (2.9%)

Counts

28 → 4

Calls

Call 1

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

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

Calls

6 calls:

79.0ms	x
70.0ms	(*.f64 z 3)
69.0ms	z
66.0ms	t
63.0ms	(*.f64 z 3)

Results

Error	Segments	Branch
6.5b	5	`x`
4.3b	4	`y`
10.7b	5	`z`
11.4b	5	`t`
10.7b	5	`(*.f64 z 3)`
10.7b	5	`(*.f64 z 3)`

Compiler

Compiled 216 to 122 computations (43.5% saved)

bsearch83.0ms (0.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
26.0ms	2.151754503387541e-39	5.895947201429756e-39
27.0ms	-6.16280358870359e-11	-8.964098585878414e-13
30.0ms	-5.133301751857722e+35	-2.235630777787135e+35

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes392.0ms (2.8%)

Counts

26 → 4

Calls

Call 1

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

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

Calls

6 calls:

72.0ms	x
66.0ms	(*.f64 z 3)
65.0ms	t
64.0ms	(*.f64 z 3)
61.0ms	z

Results

Error	Segments	Branch
6.5b	5	`x`
4.3b	4	`y`
10.7b	5	`z`
11.4b	5	`t`
10.7b	5	`(*.f64 z 3)`
10.7b	5	`(*.f64 z 3)`

Compiler

Compiled 198 to 115 computations (41.9% saved)

bsearch82.0ms (0.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
27.0ms	2.151754503387541e-39	5.895947201429756e-39
28.0ms	-6.16280358870359e-11	-8.964098585878414e-13
27.0ms	-5.133301751857722e+35	-2.235630777787135e+35

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes299.0ms (2.1%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

6 calls:

55.0ms	y
49.0ms	t
48.0ms	(*.f64 z 3)
48.0ms	(*.f64 z 3)
46.0ms	z

Results

Error	Segments	Branch
7.9b	3	`x`
12.6b	5	`y`
14.2b	3	`z`
13.7b	4	`t`
14.2b	3	`(*.f64 z 3)`
14.2b	3	`(*.f64 z 3)`

Compiler

Compiled 180 to 107 computations (40.6% saved)

bsearch53.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	2.6972815645362105	196.0029005101179
26.0ms	-2.9315551022217165e-84	-4.982089985556855e-85

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes144.0ms (1%)

Counts

23 → 4

Calls

Call 1

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

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

Calls

6 calls:

46.0ms	t
36.0ms	y
14.0ms	z
14.0ms	(*.f64 z 3)
13.0ms	x

Results

Error	Segments	Branch
16.3b	1	`x`
14.1b	3	`y`
16.3b	1	`z`
13.9b	4	`t`
16.3b	1	`(*.f64 z 3)`
16.3b	1	`(*.f64 z 3)`

Compiler

Compiled 171 to 103 computations (39.8% saved)

bsearch258.0ms (1.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
78.0ms	5.531108757664229e+195	1.7851057406223904e+198
94.0ms	1.9082357852686023e+168	5.10568461319376e+171
86.0ms	-5.763421342090932e+208	-1.6539827839085598e+203

Compiler

Compiled 626 to 469 computations (25.1% saved)

regimes121.0ms (0.9%)

Counts

21 → 4

Calls

Call 1

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

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

Calls

6 calls:

39.0ms	t
30.0ms	y
12.0ms	(*.f64 z 3)
12.0ms	(*.f64 z 3)
11.0ms	z

Results

Error	Segments	Branch
16.3b	1	`x`
14.1b	3	`y`
16.3b	1	`z`
13.9b	4	`t`
16.3b	1	`(*.f64 z 3)`
16.3b	1	`(*.f64 z 3)`

Compiler

Compiled 157 to 96 computations (38.9% saved)

bsearch267.0ms (1.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
92.0ms	5.531108757664229e+195	1.7851057406223904e+198
95.0ms	1.9082357852686023e+168	5.10568461319376e+171
79.0ms	-5.763421342090932e+208	-1.6539827839085598e+203

Compiler

Compiled 626 to 469 computations (25.1% saved)

regimes266.0ms (1.9%)

Counts

11 → 7

Calls

Call 1

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

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

Calls

4 calls:

110.0ms	t
77.0ms	z
54.0ms	y
20.0ms	x

Results

Error	Segments	Branch
24.8b	3	`x`
23.7b	7	`y`
27.9b	5	`z`
28.5b	9	`t`

Compiler

Compiled 73 to 47 computations (35.6% saved)

bsearch204.0ms (1.5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
26.0ms	3.876819769016031e+72	1.970145746618746e+81
26.0ms	1.367593831153133e-92	2.99393317968781e-92
75.0ms	3.6246176524628594e-209	3.919873558826264e-208
26.0ms	-3.0975825467504145e-8	-6.16280358870359e-11
25.0ms	-2.2677817758631396e+54	-3.928400042092397e+50
27.0ms	-1.938126799837756e+99	-5.312869780827704e+96

Compiler

Compiled 134 to 103 computations (23.1% saved)

regimes95.0ms (0.7%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	t
25.0ms	y
20.0ms	z
16.0ms	x

Results

Error	Segments	Branch
24.8b	3	`x`
26.1b	5	`y`
29.2b	3	`z`
32.2b	6	`t`

Compiler

Compiled 52 to 35 computations (32.7% saved)

bsearch52.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	196.0029005101179	17646333328.43507
25.0ms	-1.1308609991500697e-42	-5.8424265488994085e-46

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes16.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
x
x
x

Outputs
x

Calls

4 calls:

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

Results

Error	Segments	Branch
36.9b	1	`x`
36.9b	1	`y`
36.9b	1	`z`
36.9b	1	`t`

Compiler

Compiled 27 to 20 computations (25.9% saved)

simplify40.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
23×	`+-commutative_binary64`
16×	`sub-neg_binary64`
9×	`neg-sub0_binary64`
9×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	880
1	195	880
2	231	880
3	250	880
4	261	880
5	263	880

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 y) (*.f64 t (/.f64 1/3 z))))
(if (<=.f64 (.f64 z 3) -5000000000000000164207812446024630394935062831798058477561567131293735034493939977720006578138637063419747523921612177893242453171057459200) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 (/.f64 1/3 z) y) t)) (if (<=.f64 (.f64 z 3) 686479766013061/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (+.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 3 (.f64 y z))))))
(if (<=.f64 t -1173771090472949248/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 3 (.f64 y z)))) (if (<=.f64 t 1311766114923801/2535301200456458802993406410752) (+.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 3 (*.f64 y z))))))
(if (<=.f64 t -10000000000000000000000) (+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (.f64 (.f64 z 3) y))) (if (<=.f64 t 8315787937497185/10141204801825835211973625643008) (+.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x) (+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (.f64 (*.f64 z 3) y)))))
(if (<=.f64 y -6274328007771707/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (+.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x) (if (<=.f64 y 65704427984782136/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (+.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 -513330175185772201014816888890327040) (-.f64 x (.f64 1/3 (/.f64 y z))) (if (<=.f64 y -4882676042692995072/79228162514264337593543950336) (/.f64 (-.f64 (.f64 1/3 (/.f64 t y)) (.f64 1/3 y)) z) (if (<=.f64 y 13506781927340038144/6277101735386680763835789423207666416102355444464034512896) (+.f64 (/.f64 (/.f64 (.f64 t 1/3) z) y) x) (-.f64 x (/.f64 1/3 (/.f64 z y))))))
(if (<=.f64 y -513330175185772201014816888890327040) (-.f64 x (.f64 1/3 (/.f64 y z))) (if (<=.f64 y -4882676042692995072/79228162514264337593543950336) (.f64 (-.f64 (/.f64 t y) y) (/.f64 1/3 z)) (if (<=.f64 y 13506781927340038144/6277101735386680763835789423207666416102355444464034512896) (+.f64 (/.f64 (/.f64 (*.f64 t 1/3) z) y) x) (-.f64 x (/.f64 1/3 (/.f64 z y))))))
(if (<=.f64 y -513330175185772201014816888890327040) (-.f64 x (.f64 1/3 (/.f64 y z))) (if (<=.f64 y -4882676042692995072/79228162514264337593543950336) (.f64 1/3 (/.f64 (-.f64 (/.f64 t y) y) z)) (if (<=.f64 y 13506781927340038144/6277101735386680763835789423207666416102355444464034512896) (+.f64 (/.f64 (/.f64 (*.f64 t 1/3) z) y) x) (-.f64 x (/.f64 1/3 (/.f64 z y))))))
(if (<=.f64 y -513330175185772201014816888890327040) (-.f64 x (.f64 1/3 (/.f64 y z))) (if (<=.f64 y -4882676042692995072/79228162514264337593543950336) (.f64 1/3 (/.f64 (-.f64 (/.f64 t y) y) z)) (if (<=.f64 y 13506781927340038144/6277101735386680763835789423207666416102355444464034512896) (+.f64 (*.f64 (/.f64 t z) (/.f64 1/3 y)) x) (-.f64 x (/.f64 1/3 (/.f64 z y))))))
(if (<=.f64 y -513330175185772201014816888890327040) (-.f64 x (.f64 1/3 (/.f64 y z))) (if (<=.f64 y -4882676042692995072/79228162514264337593543950336) (/.f64 1/3 (/.f64 z (-.f64 (/.f64 t y) y))) (if (<=.f64 y 13506781927340038144/6277101735386680763835789423207666416102355444464034512896) (+.f64 (.f64 (/.f64 t z) (/.f64 1/3 y)) x) (-.f64 x (/.f64 1/3 (/.f64 z y))))))
(if (<=.f64 x -3206023011037893/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (-.f64 x (*.f64 1/3 (/.f64 y z))) (if (<=.f64 x 6073738124479293/2251799813685248) (/.f64 1/3 (/.f64 z (-.f64 (/.f64 t y) y))) (-.f64 x (/.f64 1/3 (/.f64 z y)))))
(if (<=.f64 t -57000000000000003072391536216199744079739908167069771018032702853489024728547988261069674248117299760634734499813629034566740293552330780896922604574017920674401711617606818117651881252913567485552588224462848) (.f64 (/.f64 t z) (/.f64 1/3 y)) (if (<=.f64 t 5000000000000000413435814285529011838218138482576117668163267154416335697155678364686365832061086948358596321261632844174465033417199886349737788590053275114539444839907328) (-.f64 x (/.f64 1/3 (/.f64 z y))) (if (<=.f64 t 5599999999999999560421815042731955609401615310617835311203437689023690565473683955009784761420184671745408293425445652227975557368277828836069969102243801921036411896930570517987980325347907338240) (.f64 (/.f64 t z) (/.f64 1/3 y)) (-.f64 x (*.f64 1/3 (/.f64 y z))))))
(if (<=.f64 t -57000000000000003072391536216199744079739908167069771018032702853489024728547988261069674248117299760634734499813629034566740293552330780896922604574017920674401711617606818117651881252913567485552588224462848) (.f64 (/.f64 t z) (/.f64 1/3 y)) (if (<=.f64 t 5000000000000000413435814285529011838218138482576117668163267154416335697155678364686365832061086948358596321261632844174465033417199886349737788590053275114539444839907328) (-.f64 x (/.f64 1/3 (/.f64 z y))) (if (<=.f64 t 5599999999999999560421815042731955609401615310617835311203437689023690565473683955009784761420184671745408293425445652227975557368277828836069969102243801921036411896930570517987980325347907338240) (.f64 (/.f64 t z) (/.f64 1/3 y)) (-.f64 x (/.f64 1/3 (/.f64 z y))))))
(if (<=.f64 y -1938126799837755901725342620244785045576593962830174661065883305467090293395554155988471400563212288) (.f64 y (/.f64 -1/3 z)) (if (<=.f64 y -2267781775863139601571528692677597002166523890587664384) x (if (<=.f64 y -4680934398942769/151115727451828646838272) (/.f64 y (.f64 z -3)) (if (<=.f64 y 8791042492900333/23134322349737717735007099635340311456574291245888123082206428617627187858318938111228919160792924135185595314161942499967986047925275778642956722900885062503881081581426410459731001937860227299113020288850612472756100399104) x (if (<=.f64 y 8029630871004851/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) (/.f64 (*.f64 (/.f64 1/3 z) t) y) (if (<=.f64 y 3876819769016031143455632377850593618053224630505385370230732466667126784) x (/.f64 -1/3 (/.f64 z y))))))))
(if (<=.f64 x -7098529540246018/6277101735386680763835789423207666416102355444464034512896) x (if (<=.f64 x 1724059745509577/8796093022208) (/.f64 y (*.f64 z -3)) x))
x

Outputs
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 y) (*.f64 t (/.f64 1/3 z))))
(if (<=.f64 (.f64 z 3) -5000000000000000164207812446024630394935062831798058477561567131293735034493939977720006578138637063419747523921612177893242453171057459200) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 (/.f64 1/3 z) y) t)) (if (<=.f64 (.f64 z 3) 686479766013061/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (+.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 3 (.f64 y z))))))
(if (<=.f64 (.f64 z 3) -5000000000000000164207812446024630394935062831798058477561567131293735034493939977720006578138637063419747523921612177893242453171057459200) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 t (/.f64 (/.f64 1/3 z) y))) (if (<=.f64 (.f64 z 3) 686479766013061/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (+.f64 x (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 3 (.f64 y z))))))
(if (<=.f64 t -1173771090472949248/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 3 (.f64 y z)))) (if (<=.f64 t 1311766114923801/2535301200456458802993406410752) (+.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 3 (*.f64 y z))))))
(if (<=.f64 t -2292521661079979/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 3 (.f64 y z)))) (if (<=.f64 t 1311766114923801/2535301200456458802993406410752) (+.f64 x (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 3 (*.f64 y z))))))
(if (<=.f64 t -10000000000000000000000) (+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (.f64 (.f64 z 3) y))) (if (<=.f64 t 8315787937497185/10141204801825835211973625643008) (+.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x) (+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (.f64 (*.f64 z 3) y)))))
(if (<=.f64 t -10000000000000000000000) (+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (.f64 y (.f64 z 3)))) (if (<=.f64 t 8315787937497185/10141204801825835211973625643008) (+.f64 x (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))) (+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (.f64 y (*.f64 z 3))))))
(if (<=.f64 y -6274328007771707/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (+.f64 (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x) (if (<=.f64 y 65704427984782136/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (+.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 -6274328007771707/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (+.f64 x (.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))) (if (<=.f64 y 8213053498097767/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832) (+.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 -513330175185772201014816888890327040) (-.f64 x (.f64 1/3 (/.f64 y z))) (if (<=.f64 y -4882676042692995072/79228162514264337593543950336) (/.f64 (-.f64 (.f64 1/3 (/.f64 t y)) (.f64 1/3 y)) z) (if (<=.f64 y 13506781927340038144/6277101735386680763835789423207666416102355444464034512896) (+.f64 (/.f64 (/.f64 (.f64 t 1/3) z) y) x) (-.f64 x (/.f64 1/3 (/.f64 z y))))))
(if (<=.f64 y -513330175185772201014816888890327040) (+.f64 x (.f64 -1/3 (/.f64 y z))) (if (<=.f64 y -2384119161471189/38685626227668133590597632) (/.f64 (+.f64 (.f64 1/3 (/.f64 t y)) (.f64 -1/3 y)) z) (if (<=.f64 y 6595108362959003/3064991081731777716716694054300618367237478244367204352) (+.f64 x (/.f64 (/.f64 (.f64 t 1/3) z) y)) (-.f64 x (/.f64 1/3 (/.f64 z y))))))
(if (<=.f64 y -513330175185772201014816888890327040) (+.f64 x (.f64 -1/3 (/.f64 y z))) (if (<=.f64 y -2384119161471189/38685626227668133590597632) (/.f64 (+.f64 (.f64 1/3 (/.f64 t y)) (.f64 y -1/3)) z) (if (<=.f64 y 6595108362959003/3064991081731777716716694054300618367237478244367204352) (+.f64 x (/.f64 (/.f64 (.f64 t 1/3) z) y)) (+.f64 x (/.f64 -1/3 (/.f64 z y))))))
(if (<=.f64 y -513330175185772201014816888890327040) (-.f64 x (.f64 1/3 (/.f64 y z))) (if (<=.f64 y -4882676042692995072/79228162514264337593543950336) (.f64 (-.f64 (/.f64 t y) y) (/.f64 1/3 z)) (if (<=.f64 y 13506781927340038144/6277101735386680763835789423207666416102355444464034512896) (+.f64 (/.f64 (/.f64 (*.f64 t 1/3) z) y) x) (-.f64 x (/.f64 1/3 (/.f64 z y))))))
(if (<=.f64 y -513330175185772201014816888890327040) (+.f64 x (.f64 -1/3 (/.f64 y z))) (if (<=.f64 y -2384119161471189/38685626227668133590597632) (.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y)) (if (<=.f64 y 6595108362959003/3064991081731777716716694054300618367237478244367204352) (+.f64 x (/.f64 (/.f64 (*.f64 t 1/3) z) y)) (-.f64 x (/.f64 1/3 (/.f64 z y))))))
(if (<=.f64 y -513330175185772201014816888890327040) (+.f64 x (.f64 -1/3 (/.f64 y z))) (if (<=.f64 y -2384119161471189/38685626227668133590597632) (.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y)) (if (<=.f64 y 6595108362959003/3064991081731777716716694054300618367237478244367204352) (+.f64 x (/.f64 (/.f64 (*.f64 t 1/3) z) y)) (+.f64 x (/.f64 -1/3 (/.f64 z y))))))
(if (<=.f64 y -513330175185772201014816888890327040) (-.f64 x (.f64 1/3 (/.f64 y z))) (if (<=.f64 y -4882676042692995072/79228162514264337593543950336) (.f64 1/3 (/.f64 (-.f64 (/.f64 t y) y) z)) (if (<=.f64 y 13506781927340038144/6277101735386680763835789423207666416102355444464034512896) (+.f64 (/.f64 (/.f64 (*.f64 t 1/3) z) y) x) (-.f64 x (/.f64 1/3 (/.f64 z y))))))
(if (<=.f64 y -513330175185772201014816888890327040) (+.f64 x (.f64 -1/3 (/.f64 y z))) (if (<=.f64 y -2384119161471189/38685626227668133590597632) (.f64 1/3 (/.f64 (-.f64 (/.f64 t y) y) z)) (if (<=.f64 y 6595108362959003/3064991081731777716716694054300618367237478244367204352) (+.f64 x (/.f64 (/.f64 (*.f64 t 1/3) z) y)) (-.f64 x (/.f64 1/3 (/.f64 z y))))))
(if (<=.f64 y -513330175185772201014816888890327040) (+.f64 x (.f64 -1/3 (/.f64 y z))) (if (<=.f64 y -2384119161471189/38685626227668133590597632) (.f64 1/3 (/.f64 (-.f64 (/.f64 t y) y) z)) (if (<=.f64 y 6595108362959003/3064991081731777716716694054300618367237478244367204352) (+.f64 x (/.f64 (/.f64 (*.f64 t 1/3) z) y)) (+.f64 x (/.f64 -1/3 (/.f64 z y))))))
(if (<=.f64 y -513330175185772201014816888890327040) (-.f64 x (.f64 1/3 (/.f64 y z))) (if (<=.f64 y -4882676042692995072/79228162514264337593543950336) (.f64 1/3 (/.f64 (-.f64 (/.f64 t y) y) z)) (if (<=.f64 y 13506781927340038144/6277101735386680763835789423207666416102355444464034512896) (+.f64 (*.f64 (/.f64 t z) (/.f64 1/3 y)) x) (-.f64 x (/.f64 1/3 (/.f64 z y))))))
(if (<=.f64 y -513330175185772201014816888890327040) (+.f64 x (.f64 -1/3 (/.f64 y z))) (if (<=.f64 y -2384119161471189/38685626227668133590597632) (.f64 1/3 (/.f64 (-.f64 (/.f64 t y) y) z)) (if (<=.f64 y 6595108362959003/3064991081731777716716694054300618367237478244367204352) (+.f64 x (*.f64 (/.f64 t z) (/.f64 1/3 y))) (-.f64 x (/.f64 1/3 (/.f64 z y))))))
(if (<=.f64 y -513330175185772201014816888890327040) (+.f64 x (.f64 -1/3 (/.f64 y z))) (if (<=.f64 y -2384119161471189/38685626227668133590597632) (.f64 1/3 (/.f64 (-.f64 (/.f64 t y) y) z)) (if (<=.f64 y 6595108362959003/3064991081731777716716694054300618367237478244367204352) (+.f64 x (*.f64 (/.f64 t z) (/.f64 1/3 y))) (+.f64 x (/.f64 -1/3 (/.f64 z y))))))
(if (<=.f64 y -513330175185772201014816888890327040) (-.f64 x (.f64 1/3 (/.f64 y z))) (if (<=.f64 y -4882676042692995072/79228162514264337593543950336) (/.f64 1/3 (/.f64 z (-.f64 (/.f64 t y) y))) (if (<=.f64 y 13506781927340038144/6277101735386680763835789423207666416102355444464034512896) (+.f64 (.f64 (/.f64 t z) (/.f64 1/3 y)) x) (-.f64 x (/.f64 1/3 (/.f64 z y))))))
(if (<=.f64 y -513330175185772201014816888890327040) (+.f64 x (.f64 -1/3 (/.f64 y z))) (if (<=.f64 y -2384119161471189/38685626227668133590597632) (/.f64 1/3 (/.f64 z (-.f64 (/.f64 t y) y))) (if (<=.f64 y 6595108362959003/3064991081731777716716694054300618367237478244367204352) (+.f64 x (.f64 (/.f64 t z) (/.f64 1/3 y))) (-.f64 x (/.f64 1/3 (/.f64 z y))))))
(if (<=.f64 y -513330175185772201014816888890327040) (+.f64 x (.f64 -1/3 (/.f64 y z))) (if (<=.f64 y -2384119161471189/38685626227668133590597632) (/.f64 1/3 (/.f64 z (-.f64 (/.f64 t y) y))) (if (<=.f64 y 6595108362959003/3064991081731777716716694054300618367237478244367204352) (+.f64 x (.f64 (/.f64 t z) (/.f64 1/3 y))) (+.f64 x (/.f64 -1/3 (/.f64 z y))))))
(if (<=.f64 x -3206023011037893/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (-.f64 x (*.f64 1/3 (/.f64 y z))) (if (<=.f64 x 6073738124479293/2251799813685248) (/.f64 1/3 (/.f64 z (-.f64 (/.f64 t y) y))) (-.f64 x (/.f64 1/3 (/.f64 z y)))))
(if (<=.f64 x -3206023011037893/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (+.f64 x (*.f64 -1/3 (/.f64 y z))) (if (<=.f64 x 6073738124479293/2251799813685248) (/.f64 1/3 (/.f64 z (-.f64 (/.f64 t y) y))) (-.f64 x (/.f64 1/3 (/.f64 z y)))))
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(if (<=.f64 t -57000000000000003072391536216199744079739908167069771018032702853489024728547988261069674248117299760634734499813629034566740293552330780896922604574017920674401711617606818117651881252913567485552588224462848) (.f64 (/.f64 t z) (/.f64 1/3 y)) (if (<=.f64 t 5000000000000000413435814285529011838218138482576117668163267154416335697155678364686365832061086948358596321261632844174465033417199886349737788590053275114539444839907328) (+.f64 x (/.f64 -1/3 (/.f64 z y))) (if (<=.f64 t 5599999999999999560421815042731955609401615310617835311203437689023690565473683955009784761420184671745408293425445652227975557368277828836069969102243801921036411896930570517987980325347907338240) (.f64 (/.f64 t z) (/.f64 1/3 y)) (+.f64 x (*.f64 -1/3 (/.f64 y z))))))
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(if (<=.f64 x -7098529540246018/6277101735386680763835789423207666416102355444464034512896) x (if (<=.f64 x 1724059745509577/8796093022208) (/.f64 y (*.f64 z -3)) x))
(if (<=.f64 x -3549264770123009/3138550867693340381917894711603833208051177722232017256448) x (if (<=.f64 x 1724059745509577/8796093022208) (/.f64 y (*.f64 z -3)) x))
x

Compiler

Compiled 669 to 431 computations (35.6% saved)

soundness261.0ms (1.9%)

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

Compiler

Compiled 334 to 237 computations (29% saved)

end225.0ms (1.6%)

Compiler: Compiled 609 to 334 computations (45.2% saved)