Details

analyze402.0ms (3.7%)

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)

sample1.5s (13.9%)

Results

1.1s	8256×	body	256	valid
413.0ms	3141×	body	256	invalid

preprocess82.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify110.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.9b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
▶	3.7b	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)

Compiler

Compiled 33 to 22 computations (33.3% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 y (*.f64 z 3)))
✓	0.2b	(/.f64 y (*.f64 z 3))
✓	0.2b	(.f64 (.f64 z 3) y)
✓	5.8b	(/.f64 t (.f64 (.f64 z 3) y))

Compiler

Compiled 51 to 30 computations (41.2% saved)

series22.0ms (0.2%)

Counts

4 → 120

Calls

30 calls:

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

rewrite121.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

736×	`log-prod_binary64`
595×	`prod-diff_binary64`
232×	`expm1-udef_binary64`
232×	`log1p-udef_binary64`
230×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	246	34
2	3675	34

Stop Event

1×	node limit

Counts

4 → 282

Calls

Call 1

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

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

simplify47.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

19×	`associate-/l*_binary64`
16×	`*-commutative_binary64`
12×	`associate-*r/_binary64`
10×	`associate-/r/_binary64`
9×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	945
1	33	945
2	66	945
3	100	945
4	127	945
5	130	945

Stop Event

1×

saturated

Counts

402 → 292

Calls

Call 1

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

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

localize11.0ms (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)
✓	3.5b	(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)

Compiler

Compiled 30 to 12 computations (60% saved)

series10.0ms (0.1%)

Counts

3 → 72

Calls

21 calls:

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

rewrite98.0ms (0.9%)

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)))))

simplify143.0ms (1.3%)

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))

eval262.0ms (2.4%)

Compiler: Compiled 14301 to 7385 computations (48.4% saved)

prune145.0ms (1.3%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	498	24	522
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	500	24	524

Error

Counts

524 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	2.9b	(+.f64 (-.f64 x (/.f64 (.f64 1/3 y) z)) (/.f64 t (.f64 (*.f64 z 3) y)))
	21.1b	(fma.f64 (/.f64 -1/3 z) (/.f64 t (neg.f64 y)) x)
▶	2.9b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 3 (*.f64 y z))))
	16.3b	(+.f64 (*.f64 -1/3 (/.f64 y z)) x)
▶	1.5b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 y) (*.f64 t (/.f64 1/3 z))))
	45.9b	(*.f64 y (/.f64 -1/3 z))
	21.1b	(fma.f64 t (/.f64 (/.f64 1/3 y) z) x)
	3.7b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (pow.f64 (/.f64 (.f64 z 3) (/.f64 t y)) -1))
	3.7b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 z) (/.f64 t (*.f64 3 y))))
	3.8b	(+.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 y (/.f64 1/3 z)))) 3) (/.f64 t (.f64 (*.f64 z 3) y)))
	2.9b	(+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
	49.5b	(.f64 1/3 (/.f64 t (.f64 y z)))
	3.7b	(+.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x)
	2.9b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (+.f64 0 (.f64 z (*.f64 3 y)))))
	20.3b	(+.f64 x (/.f64 t (.f64 (.f64 z 3) y)))
	33.3b	x
	3.7b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 (/.f64 1/3 z) y) t))
	3.7b	(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x)
▶	33.1b	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
	3.7b	(fma.f64 (*.f64 (/.f64 1 z) -1/3) (-.f64 y (/.f64 t y)) x)
▶	45.9b	(*.f64 -1/3 (/.f64 y z))
	50.2b	(*.f64 t (/.f64 (/.f64 1/3 y) z))
▶	16.3b	(fma.f64 (/.f64 -1/3 z) y x)
	33.1b	(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z))

Compiler

Compiled 713 to 502 computations (29.6% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 63 to 40 computations (36.5% saved)

series9.0ms (0.1%)

Counts

3 → 60

Calls

18 calls:

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

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

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

Outputs

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

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

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

simplify28.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

201 → 145

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 8 computations (46.7% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite52.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize11.0ms (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 (/.f64 (-.f64 y (/.f64 t y)) z))
✓	3.4b	(/.f64 (-.f64 y (/.f64 t y)) z)

Compiler

Compiled 32 to 10 computations (68.8% saved)

series13.0ms (0.1%)

Counts

2 → 48

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	t	@	-inf	(/.f64 (-.f64 y (/.f64 t y)) z)
2.0ms	y	@	0	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
1.0ms	z	@	0	(/.f64 (-.f64 y (/.f64 t y)) z)
1.0ms	y	@	0	(/.f64 (-.f64 y (/.f64 t y)) z)
1.0ms	y	@	-inf	(/.f64 (-.f64 y (/.f64 t y)) z)

rewrite136.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 238

Calls

Call 1

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

Outputs

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

simplify139.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 9 (0.0ms)

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

Stop Event

1×	node limit

Counts

286 → 249

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 x (/.f64 y (*.f64 z 3)))
	0.2b	(/.f64 y (*.f64 z 3))
✓	0.2b	(.f64 3 (.f64 y z))
✓	5.8b	(/.f64 t (.f64 3 (.f64 y z)))

Compiler

Compiled 54 to 28 computations (48.1% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

15 calls:

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

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

899×	`pow1_binary64`
834×	`add-log-exp_binary64`
834×	`log1p-expm1-u_binary64`
834×	`expm1-log1p-u_binary64`
818×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	168	17
2	2204	17

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 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))))))))

simplify39.0ms (0.4%)

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

88 → 53

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)))

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (/.f64 -1/3 z) y x)
	0.4b	(/.f64 -1/3 z)

Compiler

Compiled 17 to 10 computations (41.2% saved)

series7.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

697×	`pow1_binary64`
645×	`add-log-exp_binary64`
645×	`log1p-expm1-u_binary64`
645×	`expm1-log1p-u_binary64`
631×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	146	8
2	1735	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify30.0ms (0.3%)

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

57 → 25

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)

eval468.0ms (4.3%)

Compiler: Compiled 27112 to 13196 computations (51.3% saved)

prune386.0ms (3.6%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	930	15	945
Fresh	15	4	19
Picked	0	1	1
Done	3	1	4
Total	948	21	969

Error

Counts

969 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.5b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (.f64 (/.f64 1 (*.f64 3 y)) (/.f64 t z)))
	21.1b	(fma.f64 (/.f64 -1/3 z) (/.f64 t (neg.f64 y)) x)
▶	3.6b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t y) (.f64 z 3)))
	45.9b	(/.f64 -1/3 (/.f64 z y))
	3.4b	(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 1/3 z) (/.f64 y t)))
	46.2b	(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 y z))) 3)
	16.3b	(+.f64 (*.f64 (/.f64 -1/3 z) y) x)
▶	50.2b	(*.f64 t (/.f64 (/.f64 1/3 y) z))
	47.9b	(*.f64 (/.f64 t z) (/.f64 1/3 y))
	2.9b	(+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
	49.5b	(.f64 1/3 (/.f64 t (.f64 y z)))
▶	20.4b	(+.f64 x (/.f64 t (.f64 3 (.f64 y z))))
	3.7b	(+.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x)
	49.7b	(*.f64 -1/3 (/.f64 (/.f64 t (neg.f64 y)) z))
	33.0b	(/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y))))
	45.9b	(/.f64 (*.f64 -1/3 y) z)
✓	45.9b	(*.f64 -1/3 (/.f64 y z))
▶	45.9b	(*.f64 y (/.f64 -1/3 z))
	1.5b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 (.f64 t 1/3) z) y))
✓	16.3b	(fma.f64 (/.f64 -1/3 z) y x)
	33.3b	x

Compiler

Compiled 520 to 374 computations (28.1% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 x (/.f64 y (*.f64 z 3)))
	0.2b	(/.f64 y (*.f64 z 3))
✓	0.3b	(/.f64 1 (*.f64 3 y))
✓	5.9b	(.f64 (/.f64 1 (.f64 3 y)) (/.f64 t z))

Compiler

Compiled 62 to 37 computations (40.3% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite70.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

531×	`log-prod_binary64`
407×	`exp-prod_binary64`
342×	`pow-prod-down_binary64`
262×	`pow2_binary64`
187×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	211	14
2	2795	14

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

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

Outputs

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

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

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	408
1	15	408
2	32	408
3	58	408
4	82	408
5	84	408

Stop Event

1×

saturated

Counts

174 → 129

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

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

localize6.0ms (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)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (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))))))))

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

44 → 21

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 23 to 14 computations (39.1% saved)

series5.0ms (0%)

Counts

3 → 60

Calls

18 calls:

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

rewrite65.0ms (0.6%)

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))))))))

simplify24.0ms (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 x (/.f64 t (.f64 3 (.f64 y z))))
	0.2b	(.f64 3 (.f64 y z))
	5.8b	(/.f64 t (.f64 3 (.f64 y z)))

Compiler

Compiled 33 to 15 computations (54.5% saved)

series4.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite67.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

798×	`prod-diff_binary64`
591×	`log-prod_binary64`
294×	`pow2_binary64`
225×	`fma-def_binary64`
203×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	217	11
2	3052	11

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

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

Outputs

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

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	453
1	18	453
2	37	453
3	65	453
4	92	453
5	95	453

Stop Event

1×

saturated

Counts

118 → 75

Calls

Call 1

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

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

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t y) (.f64 z 3)))
	0.0b	(-.f64 x (/.f64 y (*.f64 z 3)))
	0.2b	(/.f64 y (*.f64 z 3))
✓	4.7b	(/.f64 (/.f64 t y) (*.f64 z 3))

Compiler

Compiled 49 to 26 computations (46.9% saved)

series6.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite100.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	281	26
2	4791	26

Stop Event

1×	node limit

Counts

2 → 161

Calls

Call 1

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

Outputs

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

simplify143.0ms (1.3%)

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

245 → 178

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)

eval498.0ms (4.6%)

Compiler: Compiled 25231 to 14275 computations (43.4% saved)

prune204.0ms (1.9%)

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	1001	15	1016
Fresh	10	4	14
Picked	1	0	1
Done	3	3	6
Total	1015	22	1037

Error

Counts

1037 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	3.7b	(-.f64 x (*.f64 (/.f64 1/3 z) (-.f64 y (/.f64 t y))))
▶	45.9b	(/.f64 -1/3 (/.f64 z y))
▶	50.2b	(.f64 t (/.f64 (.f64 (/.f64 1 y) 1/3) z))
✓	45.9b	(*.f64 y (/.f64 -1/3 z))
	45.9b	(/.f64 (*.f64 y -1/3) z)
	21.1b	(+.f64 x (/.f64 (/.f64 t y) (*.f64 z 3)))
	45.9b	(/.f64 y (*.f64 z -3))
	16.3b	(+.f64 (*.f64 (/.f64 -1/3 z) y) x)
✓	50.2b	(*.f64 t (/.f64 (/.f64 1/3 y) z))
▶	50.2b	(*.f64 (/.f64 (/.f64 1/3 z) y) t)
	47.9b	(*.f64 (/.f64 t z) (/.f64 1/3 y))
▶	18.6b	(+.f64 x (.f64 (/.f64 1 (.f64 3 y)) (/.f64 t z)))
	21.1b	(+.f64 x (.f64 (/.f64 1/3 (.f64 y z)) t))
	33.0b	(/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y))))
▶	1.5b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t z) (.f64 3 y)))
	49.5b	(/.f64 (.f64 t 1/3) (.f64 y z))
✓	16.3b	(fma.f64 (/.f64 -1/3 z) y x)
	33.3b	x
	21.1b	(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
	49.7b	(/.f64 (*.f64 t (/.f64 1/3 y)) z)
	3.7b	(+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 (/.f64 t y) (.f64 z 3)))
	46.2b	(pow.f64 (cbrt.f64 (*.f64 y (/.f64 -1/3 z))) 3)

Compiler

Compiled 491 to 356 computations (27.5% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 x (/.f64 y (*.f64 z 3)))
✓	0.0b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t z) (.f64 3 y)))
	0.2b	(/.f64 y (*.f64 z 3))
✓	5.9b	(/.f64 (/.f64 t z) (*.f64 3 y))

Compiler

Compiled 52 to 28 computations (46.2% saved)

series8.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite100.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

694×	`fma-def_binary64`
419×	`fma-neg_binary64`
383×	`log-div_binary64`
290×	`expm1-udef_binary64`
290×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	304	30
2	5120	30

Stop Event

1×	node limit

Counts

2 → 161

Calls

Call 1

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

Outputs

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simplify117.0ms (1.1%)

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

245 → 178

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

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

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 -1/3 (/.f64 z y))

Compiler

Compiled 15 to 8 computations (46.7% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite75.0ms (0.7%)

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))))))))

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	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))

localize18.0ms (0.2%)

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)
✓	6.5b	(*.f64 (/.f64 (/.f64 1/3 z) y) t)

Compiler

Compiled 23 to 14 computations (39.1% saved)

series7.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite88.0ms (0.8%)

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))))))))

simplify41.0ms (0.4%)

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)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 23 computations (30.3% saved)

series4.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite77.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

519×	`log-prod_binary64`
400×	`exp-prod_binary64`
391×	`prod-exp_binary64`
324×	`pow-prod-down_binary64`
259×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	208	21
2	2651	21

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

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

Outputs

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

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

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	576
1	17	576
2	35	576
3	60	576
4	82	576
5	84	576

Stop Event

1×

saturated

Counts

210 → 141

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 (/.f64 1 (.f64 3 y)) (/.f64 t z)))
	0.3b	(/.f64 1 (*.f64 3 y))
	5.9b	(.f64 (/.f64 1 (.f64 3 y)) (/.f64 t z))

Compiler

Compiled 41 to 24 computations (41.5% saved)

series5.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

659×	`log-prod_binary64`
335×	`pow2_binary64`
268×	`fma-def_binary64`
231×	`pow1/3_binary64`
229×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	260	11
2	3637	11

Stop Event

1×	node limit

Counts

1 → 84

Calls

Call 1

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

Outputs

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

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	453
1	18	453
2	37	453
3	65	453
4	92	453
5	95	453

Stop Event

1×

saturated

Counts

132 → 89

Calls

Call 1

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

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

eval307.0ms (2.8%)

Compiler: Compiled 17791 to 10014 computations (43.7% saved)

prune150.0ms (1.4%)

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	884	4	888
Fresh	3	11	14
Picked	1	0	1
Done	1	6	7
Total	889	21	910

Error

Counts

910 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	1.5b	(+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 (/.f64 t z) (.f64 3 y)))
	18.6b	(+.f64 x (/.f64 (/.f64 t z) (*.f64 3 y)))
	21.1b	(fma.f64 t (/.f64 (/.f64 1/3 z) y) x)
	3.7b	(-.f64 x (*.f64 (/.f64 1/3 z) (-.f64 y (/.f64 t y))))
	49.5b	(/.f64 (.f64 t 1/3) (.f64 z y))
✓	45.9b	(/.f64 -1/3 (/.f64 z y))
	45.9b	(/.f64 (*.f64 y -1/3) z)
	21.1b	(+.f64 x (/.f64 (/.f64 t y) (*.f64 z 3)))
	45.9b	(/.f64 y (*.f64 z -3))
	16.3b	(+.f64 (*.f64 (/.f64 -1/3 z) y) x)
✓	50.2b	(*.f64 t (/.f64 (/.f64 1/3 y) z))
✓	50.2b	(*.f64 (/.f64 (/.f64 1/3 z) y) t)
	47.9b	(*.f64 (/.f64 t z) (/.f64 1/3 y))
	33.0b	(/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y))))
✓	1.5b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t z) (.f64 3 y)))
	49.5b	(/.f64 (/.f64 1/3 z) (/.f64 y t))
✓	16.3b	(fma.f64 (/.f64 -1/3 z) y x)
	33.3b	x
	49.7b	(/.f64 (*.f64 t (/.f64 1/3 y)) z)
✓	45.9b	(*.f64 y (/.f64 -1/3 z))
	46.2b	(pow.f64 (cbrt.f64 (*.f64 y (/.f64 -1/3 z))) 3)

Compiler

Compiled 246 to 178 computations (27.6% saved)

regimes280.0ms (2.6%)

Counts

60 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

76.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
33.0ms	(*.f64 z 3)
32.0ms	y
31.0ms	t
30.0ms	z

Results

Error	Segments	Branch
1.5b	1	`x`
1.5b	1	`y`
1.5b	1	`z`
1.5b	1	`t`
0.4b	3	`(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))`
1.5b	1	`(*.f64 z 3)`
1.5b	1	`(*.f64 z 3)`

Compiler

Compiled 647 to 362 computations (44% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0702861652199629e+279	6.89890319269604e+279
0.0ms	-inf	-5.143002501426115e+306

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes215.0ms (2%)

Counts

48 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

61.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
25.0ms	t
24.0ms	z
23.0ms	x
22.0ms	y

Results

Error	Segments	Branch
1.5b	1	`x`
1.5b	1	`y`
1.5b	1	`z`
1.5b	1	`t`
0.4b	3	`(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))`
1.5b	1	`(*.f64 z 3)`
1.5b	1	`(*.f64 z 3)`

Compiler

Compiled 516 to 294 computations (43% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0702861652199629e+279	6.89890319269604e+279
0.0ms	-inf	-5.143002501426115e+306

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes203.0ms (1.9%)

Counts

42 → 3

Calls

Call 1

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

Calls

7 calls:

61.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
23.0ms	(*.f64 z 3)
22.0ms	t
21.0ms	x
21.0ms	y

Results

Error	Segments	Branch
1.5b	1	`x`
1.5b	1	`y`
1.5b	1	`z`
1.5b	1	`t`
0.4b	3	`(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))`
1.5b	1	`(*.f64 z 3)`
1.5b	1	`(*.f64 z 3)`

Compiler

Compiled 414 to 231 computations (44.2% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0702861652199629e+279	6.89890319269604e+279
0.0ms	-inf	-5.143002501426115e+306

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes137.0ms (1.3%)

Counts

41 → 1

Calls

Call 1

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

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

Calls

6 calls:

22.0ms	z
22.0ms	y
21.0ms	(*.f64 z 3)
20.0ms	t
20.0ms	(*.f64 z 3)

Results

Error	Segments	Branch
1.5b	1	`x`
1.5b	1	`y`
1.5b	1	`z`
1.5b	1	`t`
1.5b	1	`(*.f64 z 3)`
1.5b	1	`(*.f64 z 3)`

Compiler

Compiled 380 to 209 computations (45% saved)

regimes143.0ms (1.3%)

Counts

34 → 3

Calls

Call 1

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

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

Calls

6 calls:

47.0ms	y
20.0ms	x
19.0ms	(*.f64 z 3)
17.0ms	(*.f64 z 3)
16.0ms	t

Results

Error	Segments	Branch
3.7b	1	`x`
0.7b	3	`y`
3.7b	1	`z`
3.7b	1	`t`
3.7b	1	`(*.f64 z 3)`
3.7b	1	`(*.f64 z 3)`

Compiler

Compiled 275 to 150 computations (45.5% saved)

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	1.7950700865289629e-127	5.462793601056334e-124
23.0ms	-5.815308533420888e-43	-4.9453178241937605e-59

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes383.0ms (3.5%)

Counts

31 → 3

Calls

Call 1

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

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

Calls

6 calls:

82.0ms	(*.f64 z 3)
79.0ms	(*.f64 z 3)
79.0ms	z
53.0ms	y
42.0ms	t

Results

Error	Segments	Branch
9.8b	3	`x`
5.0b	3	`y`
10.3b	6	`z`
11.4b	3	`t`
10.3b	6	`(*.f64 z 3)`
10.3b	6	`(*.f64 z 3)`

Compiler

Compiled 242 to 136 computations (43.8% saved)

bsearch49.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	1.0632398596402165e-23	7.37892418888275e-23
25.0ms	-746665063.9392775	-3083689.661197463

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes165.0ms (1.5%)

Counts

22 → 5

Calls

Call 1

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

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

Calls

4 calls:

49.0ms	x
48.0ms	z
40.0ms	y
22.0ms	t

Results

Error	Segments	Branch
13.0b	5	`x`
13.8b	3	`y`
13.8b	5	`z`
14.9b	2	`t`

Compiler

Compiled 147 to 86 computations (41.5% saved)

bsearch97.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
24.0ms	1.5657405700347895e-263	4.543328054859996e-260
25.0ms	-4.243849594958199e-265	-2.221172102050818e-279
24.0ms	-2.8001005933579006e-170	-8.141679391439735e-173
24.0ms	-9.565186528407064e-55	-3.9250416096531754e-64

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes198.0ms (1.8%)

Counts

16 → 5

Calls

Call 1

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

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

Calls

4 calls:

81.0ms	x
57.0ms	y
39.0ms	z
17.0ms	t

Results

Error	Segments	Branch
13.3b	5	`x`
14.7b	3	`y`
13.8b	5	`z`
14.9b	2	`t`

Compiler

Compiled 104 to 65 computations (37.5% saved)

bsearch182.0ms (1.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
44.0ms	1.5657405700347895e-263	4.543328054859996e-260
46.0ms	-4.243849594958199e-265	-2.221172102050818e-279
45.0ms	-2.8001005933579006e-170	-8.141679391439735e-173
47.0ms	-5.9700770422740825e-92	-9.70303597708917e-98

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes243.0ms (2.2%)

Counts

15 → 6

Calls

Call 1

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

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

Calls

4 calls:

75.0ms	t
57.0ms	y
54.0ms	z
51.0ms	x

Results

Error	Segments	Branch
21.7b	6	`x`
26.0b	7	`y`
27.0b	6	`z`
29.1b	5	`t`

Compiler

Compiled 97 to 61 computations (37.1% saved)

bsearch121.0ms (1.1%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
25.0ms	2.4214995704030887e-63	3.112092303482969e-61
23.0ms	1.5657405700347895e-263	4.543328054859996e-260
23.0ms	-4.243849594958199e-265	-2.221172102050818e-279
24.0ms	-2.8001005933579006e-170	-8.141679391439735e-173
24.0ms	-3.9250416096531754e-64	-1.0452163218651547e-73

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes159.0ms (1.5%)

Counts

11 → 6

Calls

Call 1

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

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

Calls

4 calls:

48.0ms	y
42.0ms	x
35.0ms	z
31.0ms	t

Results

Error	Segments	Branch
21.8b	6	`x`
26.1b	7	`y`
28.2b	5	`z`
29.1b	5	`t`

Compiler

Compiled 69 to 45 computations (34.8% saved)

bsearch120.0ms (1.1%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
23.0ms	2.4214995704030887e-63	3.112092303482969e-61
24.0ms	1.5657405700347895e-263	4.543328054859996e-260
24.0ms	-4.243849594958199e-265	-2.221172102050818e-279
24.0ms	-2.8001005933579006e-170	-8.141679391439735e-173
24.0ms	-9.565186528407064e-55	-3.9250416096531754e-64

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes108.0ms (1%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

4 calls:

32.0ms	y
28.0ms	t
23.0ms	x
22.0ms	z

Results

Error	Segments	Branch
25.2b	3	`x`
27.7b	5	`y`
29.4b	3	`z`
30.9b	5	`t`

Compiler

Compiled 62 to 41 computations (33.9% saved)

bsearch48.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	2.4214995704030887e-63	3.112092303482969e-61
24.0ms	-1.593952372859714e-125	-2.260331616874211e-139

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes70.0ms (0.7%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	y
18.0ms	t
15.0ms	x
15.0ms	z

Results

Error	Segments	Branch
25.2b	3	`x`
27.7b	5	`y`
29.4b	3	`z`
30.9b	5	`t`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch50.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	2.4214995704030887e-63	3.112092303482969e-61
24.0ms	-1.593952372859714e-125	-2.260331616874211e-139

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes17.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
x
x
x

Outputs
x

Calls

4 calls:

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

Results

Error	Segments	Branch
33.3b	1	`x`
33.3b	1	`y`
33.3b	1	`z`
33.3b	1	`t`

Compiler

Compiled 27 to 20 computations (25.9% saved)

simplify82.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

44×	`cancel-sign-sub-inv_binary64`
42×	`distribute-rgt-neg-in_binary64`
32×	`*-commutative_binary64`
32×	`neg-sub0_binary64`
32×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	795
1	140	795
2	176	795
3	204	795
4	241	795
5	262	795
6	280	795
7	308	795
8	350	795
9	413	795
10	466	795
11	490	795
12	494	795

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (.f64 z 3) y))) -inf.0) (-.f64 x (.f64 (/.f64 1/3 z) (-.f64 y (/.f64 t y)))) (if (<=.f64 (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (.f64 z 3) y))) 2000000000000000115946584549920787526531725137091400073210440771302776217438364873893098539136974033420682012037693472867184896365800368488769480110480747637096185650992649367430973409239440062953984512950528056418729875580298721687641670532014998559037646690749059730134464987136) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (+.f64 0 (.f64 z (.f64 3 y))))) (+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 (/.f64 t z) (.f64 3 y)))))
(if (<=.f64 (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (.f64 z 3) y))) -inf.0) (-.f64 x (.f64 (/.f64 1/3 z) (-.f64 y (/.f64 t y)))) (if (<=.f64 (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (.f64 z 3) y))) 2000000000000000115946584549920787526531725137091400073210440771302776217438364873893098539136974033420682012037693472867184896365800368488769480110480747637096185650992649367430973409239440062953984512950528056418729875580298721687641670532014998559037646690749059730134464987136) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (.f64 z 3) y))) (+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 (/.f64 t z) (.f64 3 y)))))
(if (<=.f64 (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (.f64 z 3) y))) -inf.0) (-.f64 x (.f64 (/.f64 1/3 z) (-.f64 y (/.f64 t y)))) (if (<=.f64 (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (.f64 z 3) y))) 2000000000000000115946584549920787526531725137091400073210440771302776217438364873893098539136974033420682012037693472867184896365800368488769480110480747637096185650992649367430973409239440062953984512950528056418729875580298721687641670532014998559037646690749059730134464987136) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (.f64 z 3) y))) (+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t z) (.f64 3 y)))))
(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t z) (.f64 3 y)))
(if (<=.f64 y -3650328328694523/6277101735386680763835789423207666416102355444464034512896) (-.f64 x (.f64 (/.f64 1/3 z) (-.f64 y (/.f64 t y)))) (if (<=.f64 y 7621456421669903/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) (+.f64 x (/.f64 (/.f64 t z) (.f64 3 y))) (-.f64 x (*.f64 (/.f64 1/3 z) (-.f64 y (/.f64 t y))))))
(if (<=.f64 y -6263480528681535/8388608) (+.f64 (.f64 (/.f64 -1/3 z) y) x) (if (<=.f64 y 7236035520861185/680564733841876926926749214863536422912) (+.f64 x (/.f64 (/.f64 t z) (.f64 3 y))) (+.f64 (*.f64 (/.f64 -1/3 z) y) x)))
(if (<=.f64 x -6601649117880377/6901746346790563787434755862277025452451108972170386555162524223799296) (+.f64 (.f64 (/.f64 -1/3 z) y) x) (if (<=.f64 x -1903666955316677/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) (.f64 (/.f64 t z) (/.f64 1/3 y)) (if (<=.f64 x -7703462041918253/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648) (+.f64 (.f64 (/.f64 -1/3 z) y) x) (if (<=.f64 x 8881693656659601/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864) (/.f64 (.f64 t 1/3) (.f64 z y)) (+.f64 (.f64 (/.f64 -1/3 z) y) x)))))
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(if (<=.f64 x -1454364058640447/3705346855594118253554271520278013051304639509300498049262642688253220148477952) x (if (<=.f64 x -1903666955316677/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) (/.f64 (/.f64 1/3 z) (/.f64 y t)) (if (<=.f64 x -7703462041918253/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648) (/.f64 y (.f64 z -3)) (if (<=.f64 x 8881693656659601/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864) (/.f64 (.f64 t 1/3) (.f64 z y)) (if (<=.f64 x 8972495819015593/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (/.f64 (.f64 y -1/3) z) x)))))
(if (<=.f64 x -6601649117880377/6901746346790563787434755862277025452451108972170386555162524223799296) x (if (<=.f64 x -1903666955316677/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) (/.f64 (.f64 t 1/3) (.f64 z y)) (if (<=.f64 x -7703462041918253/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648) (/.f64 y (.f64 z -3)) (if (<=.f64 x 8881693656659601/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864) (/.f64 (.f64 t 1/3) (.f64 z y)) (if (<=.f64 x 8972495819015593/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (/.f64 (.f64 y -1/3) z) x)))))
(if (<=.f64 x -6074119273983823/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928) x (if (<=.f64 x 8972495819015593/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (/.f64 y (*.f64 z -3)) x))
(if (<=.f64 x -6074119273983823/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928) x (if (<=.f64 x 8972495819015593/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (/.f64 (*.f64 y -1/3) z) x))
x

Outputs
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(if (<=.f64 x -8763112597638213/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (+.f64 (.f64 (/.f64 -1/3 z) y) x) (if (<=.f64 x -1903666955316677/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) (/.f64 (/.f64 1/3 z) (/.f64 y t)) (if (<=.f64 x -7703462041918253/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648) (+.f64 (.f64 (/.f64 -1/3 z) y) x) (if (<=.f64 x 8881693656659601/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864) (/.f64 (.f64 t 1/3) (.f64 z y)) (+.f64 (*.f64 (/.f64 -1/3 z) y) x)))))
(if (<=.f64 x -8763112597638213/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (+.f64 x (.f64 y (/.f64 -1/3 z))) (if (<=.f64 x -1903666955316677/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) (/.f64 (/.f64 1/3 z) (/.f64 y t)) (if (<=.f64 x -7703462041918253/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648) (+.f64 x (.f64 y (/.f64 -1/3 z))) (if (<=.f64 x 8881693656659601/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864) (/.f64 (.f64 t 1/3) (.f64 y z)) (+.f64 x (*.f64 y (/.f64 -1/3 z)))))))
(if (<=.f64 x -8763112597638213/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (-.f64 x (.f64 y (/.f64 1/3 z))) (if (<=.f64 x -1903666955316677/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) (/.f64 (/.f64 1/3 z) (/.f64 y t)) (if (<=.f64 x -7703462041918253/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648) (-.f64 x (.f64 y (/.f64 1/3 z))) (if (<=.f64 x 8881693656659601/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864) (/.f64 (.f64 t 1/3) (.f64 y z)) (-.f64 x (*.f64 y (/.f64 1/3 z)))))))
(if (<=.f64 x -1454364058640447/3705346855594118253554271520278013051304639509300498049262642688253220148477952) x (if (<=.f64 x -1903666955316677/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) (/.f64 (/.f64 1/3 z) (/.f64 y t)) (if (<=.f64 x -7703462041918253/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648) (/.f64 y (.f64 z -3)) (if (<=.f64 x 8881693656659601/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864) (/.f64 (.f64 t 1/3) (.f64 z y)) (if (<=.f64 x 8972495819015593/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (/.f64 (.f64 y -1/3) z) x)))))
(if (<=.f64 x -1454364058640447/3705346855594118253554271520278013051304639509300498049262642688253220148477952) x (if (<=.f64 x -1903666955316677/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) (/.f64 (/.f64 1/3 z) (/.f64 y t)) (if (<=.f64 x -7703462041918253/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648) (/.f64 y (.f64 z -3)) (if (<=.f64 x 8881693656659601/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864) (/.f64 (.f64 t 1/3) (.f64 y z)) (if (<=.f64 x 8972495819015593/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (/.f64 (.f64 y -1/3) z) x)))))
(if (<=.f64 x -6601649117880377/6901746346790563787434755862277025452451108972170386555162524223799296) x (if (<=.f64 x -1903666955316677/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) (/.f64 (.f64 t 1/3) (.f64 z y)) (if (<=.f64 x -7703462041918253/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648) (/.f64 y (.f64 z -3)) (if (<=.f64 x 8881693656659601/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864) (/.f64 (.f64 t 1/3) (.f64 z y)) (if (<=.f64 x 8972495819015593/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (/.f64 (.f64 y -1/3) z) x)))))
(if (<=.f64 x -6601649117880377/6901746346790563787434755862277025452451108972170386555162524223799296) x (if (<=.f64 x -1903666955316677/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) (/.f64 (.f64 t 1/3) (.f64 y z)) (if (<=.f64 x -7703462041918253/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648) (/.f64 y (.f64 z -3)) (if (<=.f64 x 8881693656659601/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864) (/.f64 (.f64 t 1/3) (.f64 y z)) (if (<=.f64 x 8972495819015593/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (/.f64 (.f64 y -1/3) z) x)))))
(if (<=.f64 x -6074119273983823/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928) x (if (<=.f64 x 8972495819015593/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (/.f64 y (*.f64 z -3)) x))
(if (<=.f64 x -6074119273983823/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928) x (if (<=.f64 x 8972495819015593/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (/.f64 (*.f64 y -1/3) z) x))
x

Compiler

Compiled 597 to 388 computations (35% saved)

soundness0.0ms (0%)

end528.0ms (4.9%)

Compiler: Compiled 549 to 324 computations (41% saved)

Iter	Nodes	Cost
0	105	795
1	140	795
2	176	795
3	204	795
4	241	795
5	262	795
6	280	795
7	308	795
8	350	795
9	413	795
10	466	795
11	490	795
12	494	795

Iter	Nodes	Cost
0	105	795
1	140	795
2	176	795
3	204	795
4	241	795
5	262	795
6	280	795
7	308	795
8	350	795
9	413	795
10	466	795
11	490	795
12	494	795

Iter	Nodes	Cost
0	105	795
1	140	795
2	176	795
3	204	795
4	241	795
5	262	795
6	280	795
7	308	795
8	350	795
9	413	795
10	466	795
11	490	795
12	494	795