Details

analyze44.0ms (1.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	6
59.4%	59.3%	40.6%	0.1%	0%	0%	0%	7
68.3%	67.1%	31.2%	0.1%	1.6%	0%	0%	8
76.6%	74.1%	22.6%	0.1%	3.1%	0%	0%	9
81.9%	77.7%	17.2%	0.1%	5.1%	0%	0%	10
87.2%	81%	11.9%	0.1%	7%	0%	0%	11
90.2%	82.6%	9%	0.1%	8.3%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample882.0ms (32%)

Results

808.0ms	8256×	body	256	valid
62.0ms	425×	body	256	infinite

Bogosity

preprocess15.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	14	14
2	18	14
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	11	7

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f64 x (*.f64 y 3))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize190.0ms (6.9%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 x (*.f64 y 3))

Compiler

Compiled 13 to 8 computations (38.5% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite40.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

683×	`pow1_binary64`
637×	`add-log-exp_binary64`
637×	`log1p-expm1-u_binary64`
637×	`expm1-log1p-u_binary64`
624×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1675	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

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

Outputs

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

simplify40.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

614×	`log-div_binary64`
523×	`log-prod_binary64`
421×	`associate-*l/_binary64`
408×	`fma-def_binary64`
353×	`cube-div_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	516
1	256	504
2	885	504
3	5102	488

Stop Event

1×	node limit

Counts

62 → 45

Calls

Call 1

Inputs
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(-.f64 (+.f64 1 (*.f64 (/.f64 x y) 1/3)) 1)
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 (/.f64 x y) 1/3) 1)
(.f64 1 (.f64 (/.f64 x y) 1/3))
(.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)) 2) (cbrt.f64 (*.f64 (/.f64 x y) 1/3)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1/3 y)))
(.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/3)) (sqrt.f64 (*.f64 (/.f64 x y) 1/3)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1/3 y)))
(.f64 (neg.f64 x) (/.f64 1 (.f64 y -3)))
(*.f64 (/.f64 1/3 y) x)
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (.f64 y 3)))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (.f64 y 3)))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 3))
(*.f64 (/.f64 1 y) (/.f64 x 3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) 3))
(*.f64 (/.f64 (sqrt.f64 x) 3) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 3) (/.f64 (cbrt.f64 x) y))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 x (cbrt.f64 (*.f64 y 3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (cbrt.f64 (*.f64 (/.f64 x y) 1/3)))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y 3))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 y 3))) (/.f64 x (sqrt.f64 (*.f64 y 3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (.f64 y 3))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y 3))))
(pow.f64 (*.f64 (/.f64 x y) 1/3) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 2)
(pow.f64 (*.f64 3 (/.f64 y x)) -1)
(neg.f64 (/.f64 x (*.f64 y -3)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 2))
(log.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) 1/3)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) 1/3)))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) 1/3)))

Outputs
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(-.f64 (+.f64 1 (*.f64 (/.f64 x y) 1/3)) 1)
(*.f64 x (/.f64 1/3 y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 (/.f64 x y) 1/3) 1)
(*.f64 x (/.f64 1/3 y))
(.f64 1 (.f64 (/.f64 x y) 1/3))
(*.f64 x (/.f64 1/3 y))
(.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) 2))
(*.f64 x (/.f64 1/3 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)) 2) (cbrt.f64 (*.f64 (/.f64 x y) 1/3)))
(*.f64 x (/.f64 1/3 y))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1/3 y)))
(*.f64 x (/.f64 1/3 y))
(.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/3)) (sqrt.f64 (*.f64 (/.f64 x y) 1/3)))
(*.f64 x (/.f64 1/3 y))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1/3 y)))
(*.f64 x (/.f64 1/3 y))
(.f64 (neg.f64 x) (/.f64 1 (.f64 y -3)))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (.f64 y 3)))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (.f64 y 3)))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 3))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 1 y) (/.f64 x 3))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) 3))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 (sqrt.f64 x) 3) (/.f64 (sqrt.f64 x) y))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 3) (/.f64 (cbrt.f64 x) y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 x (cbrt.f64 (*.f64 y 3))))
(/.f64 (/.f64 x (cbrt.f64 (.f64 y 3))) (pow.f64 (cbrt.f64 (.f64 y 3)) 2))
(/.f64 x (.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2) (cbrt.f64 (*.f64 y 3))))
(/.f64 x (pow.f64 (cbrt.f64 (*.f64 y 3)) 3))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (cbrt.f64 (*.f64 (/.f64 x y) 1/3)))
(.f64 (cbrt.f64 (.f64 x (/.f64 1/3 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(/.f64 (cbrt.f64 (.f64 x (/.f64 1/3 y))) (/.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y 3))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 x (cbrt.f64 (*.f64 y 3))))
(/.f64 (/.f64 x (cbrt.f64 (.f64 y 3))) (pow.f64 (cbrt.f64 (.f64 y 3)) 2))
(/.f64 x (.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2) (cbrt.f64 (*.f64 y 3))))
(/.f64 x (pow.f64 (cbrt.f64 (*.f64 y 3)) 3))
(.f64 (/.f64 1 (sqrt.f64 (.f64 y 3))) (/.f64 x (sqrt.f64 (*.f64 y 3))))
(/.f64 (/.f64 x (sqrt.f64 (.f64 y 3))) (sqrt.f64 (.f64 y 3)))
(/.f64 x (.f64 (sqrt.f64 (.f64 y 3)) (sqrt.f64 (*.f64 y 3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (.f64 y 3))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y 3))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 y 3))) (/.f64 x (sqrt.f64 (*.f64 y 3))))
(/.f64 (/.f64 x (sqrt.f64 (.f64 y 3))) (sqrt.f64 (.f64 y 3)))
(/.f64 x (.f64 (sqrt.f64 (.f64 y 3)) (sqrt.f64 (*.f64 y 3))))
(pow.f64 (*.f64 (/.f64 x y) 1/3) 1)
(*.f64 x (/.f64 1/3 y))
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3) 1/3)
(*.f64 x (/.f64 1/3 y))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) 3)
(*.f64 x (/.f64 1/3 y))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 2)
(*.f64 x (/.f64 1/3 y))
(pow.f64 (*.f64 3 (/.f64 y x)) -1)
(*.f64 x (/.f64 1/3 y))
(neg.f64 (/.f64 x (*.f64 y -3)))
(*.f64 x (/.f64 1/3 y))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 2))
(*.f64 x (/.f64 1/3 y))
(log.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3))
(*.f64 x (/.f64 1/3 y))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 3) 3)))
(*.f64 x (/.f64 1/3 y))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) 1/3)))
(*.f64 x (/.f64 1/3 y))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) 1/3)))
(*.f64 x (/.f64 1/3 y))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) 1/3)))
(*.f64 x (/.f64 1/3 y))

eval10.0ms (0.4%)

Compiler: Compiled 457 to 294 computations (35.7% saved)

prune27.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	38	7	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	8	46

Error

Counts

46 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(pow.f64 (*.f64 3 (/.f64 y x)) -1)
	1.3b	(/.f64 (cbrt.f64 (.f64 x (/.f64 1/3 y))) (/.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2) (pow.f64 (cbrt.f64 x) 2)))
▶	1.1b	(/.f64 x (pow.f64 (cbrt.f64 (*.f64 y 3)) 3))
✓	0.3b	(/.f64 x (*.f64 y 3))
	33.2b	(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 3))
▶	0.6b	(*.f64 (/.f64 x y) 1/3)
▶	0.3b	(*.f64 (/.f64 1 y) (/.f64 x 3))
▶	0.3b	(*.f64 (/.f64 1/3 y) x)

Compiler

Compiled 153 to 115 computations (24.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

9 calls:

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

rewrite42.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`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	11
1	128	11
2	1560	11

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

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

Outputs

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

simplify39.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

622×	`fma-def_binary64`
580×	`log-prod_binary64`
456×	`log-div_binary64`
313×	`fma-neg_binary64`
304×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	515
1	206	455
2	829	395
3	4460	395

Stop Event

1×	node limit

Counts

65 → 45

Calls

Call 1

Inputs
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(-.f64 (+.f64 1 (/.f64 1/3 y)) 1)
(*.f64 1/3 (/.f64 1 y))
(*.f64 (/.f64 1/3 y) 1)
(*.f64 1 (/.f64 1/3 y))
(*.f64 (cbrt.f64 (/.f64 1/3 y)) (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2) (cbrt.f64 (/.f64 1/3 y)))
(*.f64 (sqrt.f64 (/.f64 1/3 y)) (sqrt.f64 (/.f64 1/3 y)))
(*.f64 -1/3 (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) 1/3)
(pow.f64 (/.f64 1/3 y) 1)
(pow.f64 (pow.f64 (/.f64 1/3 y) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 1/3 y)) 3)
(pow.f64 (sqrt.f64 (/.f64 1/3 y)) 2)
(pow.f64 (*.f64 y 3) -1)
(sqrt.f64 (pow.f64 (/.f64 1/3 y) 2))
(log.f64 (exp.f64 (/.f64 1/3 y)))
(cbrt.f64 (pow.f64 (/.f64 1/3 y) 3))
(expm1.f64 (log1p.f64 (/.f64 1/3 y)))
(log1p.f64 (expm1.f64 (/.f64 1/3 y)))
(exp.f64 (log.f64 (/.f64 1/3 y)))
(-.f64 (+.f64 1 (*.f64 1/3 (/.f64 x y))) 1)
(/.f64 1/3 (/.f64 y x))
(/.f64 x (*.f64 y 3))
(/.f64 1 (/.f64 y (*.f64 1/3 x)))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (neg.f64 (*.f64 1/3 x)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 1/3 x) 1) y)
(/.f64 (/.f64 (*.f64 1/3 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 1/3 x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 -1/3 x) (neg.f64 y))
(/.f64 (*.f64 x -1/3) (neg.f64 y))
(pow.f64 (*.f64 1/3 (/.f64 x y)) 1)
(pow.f64 (pow.f64 (*.f64 1/3 (/.f64 x y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 x y))) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/3 (/.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 1/3 y)))
(cbrt.f64 (pow.f64 (*.f64 1/3 (/.f64 x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 1/3 (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 1/3 (/.f64 x y))))

Outputs
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(-.f64 (+.f64 1 (/.f64 1/3 y)) 1)
(+.f64 1 (-.f64 (/.f64 1/3 y) 1))
(+.f64 (/.f64 1/3 y) 0)
(/.f64 1/3 y)
(*.f64 1/3 (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 1/3 y) 1))
(+.f64 (/.f64 1/3 y) 0)
(/.f64 1/3 y)
(*.f64 (/.f64 1/3 y) 1)
(+.f64 1 (-.f64 (/.f64 1/3 y) 1))
(+.f64 (/.f64 1/3 y) 0)
(/.f64 1/3 y)
(*.f64 1 (/.f64 1/3 y))
(+.f64 1 (-.f64 (/.f64 1/3 y) 1))
(+.f64 (/.f64 1/3 y) 0)
(/.f64 1/3 y)
(*.f64 (cbrt.f64 (/.f64 1/3 y)) (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2))
(+.f64 1 (-.f64 (/.f64 1/3 y) 1))
(+.f64 (/.f64 1/3 y) 0)
(/.f64 1/3 y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2) (cbrt.f64 (/.f64 1/3 y)))
(+.f64 1 (-.f64 (/.f64 1/3 y) 1))
(+.f64 (/.f64 1/3 y) 0)
(/.f64 1/3 y)
(*.f64 (sqrt.f64 (/.f64 1/3 y)) (sqrt.f64 (/.f64 1/3 y)))
(+.f64 1 (-.f64 (/.f64 1/3 y) 1))
(+.f64 (/.f64 1/3 y) 0)
(/.f64 1/3 y)
(*.f64 -1/3 (/.f64 1 (neg.f64 y)))
(+.f64 1 (-.f64 (/.f64 1/3 y) 1))
(+.f64 (/.f64 1/3 y) 0)
(/.f64 1/3 y)
(*.f64 (/.f64 1 y) 1/3)
(+.f64 1 (-.f64 (/.f64 1/3 y) 1))
(+.f64 (/.f64 1/3 y) 0)
(/.f64 1/3 y)
(pow.f64 (/.f64 1/3 y) 1)
(+.f64 1 (-.f64 (/.f64 1/3 y) 1))
(+.f64 (/.f64 1/3 y) 0)
(/.f64 1/3 y)
(pow.f64 (pow.f64 (/.f64 1/3 y) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1/3 y) 1))
(+.f64 (/.f64 1/3 y) 0)
(/.f64 1/3 y)
(pow.f64 (cbrt.f64 (/.f64 1/3 y)) 3)
(+.f64 1 (-.f64 (/.f64 1/3 y) 1))
(+.f64 (/.f64 1/3 y) 0)
(/.f64 1/3 y)
(pow.f64 (sqrt.f64 (/.f64 1/3 y)) 2)
(+.f64 1 (-.f64 (/.f64 1/3 y) 1))
(+.f64 (/.f64 1/3 y) 0)
(/.f64 1/3 y)
(pow.f64 (*.f64 y 3) -1)
(+.f64 1 (-.f64 (/.f64 1/3 y) 1))
(+.f64 (/.f64 1/3 y) 0)
(/.f64 1/3 y)
(sqrt.f64 (pow.f64 (/.f64 1/3 y) 2))
(+.f64 1 (-.f64 (/.f64 1/3 y) 1))
(+.f64 (/.f64 1/3 y) 0)
(/.f64 1/3 y)
(log.f64 (exp.f64 (/.f64 1/3 y)))
(+.f64 1 (-.f64 (/.f64 1/3 y) 1))
(+.f64 (/.f64 1/3 y) 0)
(/.f64 1/3 y)
(cbrt.f64 (pow.f64 (/.f64 1/3 y) 3))
(+.f64 1 (-.f64 (/.f64 1/3 y) 1))
(+.f64 (/.f64 1/3 y) 0)
(/.f64 1/3 y)
(expm1.f64 (log1p.f64 (/.f64 1/3 y)))
(+.f64 1 (-.f64 (/.f64 1/3 y) 1))
(+.f64 (/.f64 1/3 y) 0)
(/.f64 1/3 y)
(log1p.f64 (expm1.f64 (/.f64 1/3 y)))
(+.f64 1 (-.f64 (/.f64 1/3 y) 1))
(+.f64 (/.f64 1/3 y) 0)
(/.f64 1/3 y)
(exp.f64 (log.f64 (/.f64 1/3 y)))
(+.f64 1 (-.f64 (/.f64 1/3 y) 1))
(+.f64 (/.f64 1/3 y) 0)
(/.f64 1/3 y)
(-.f64 (+.f64 1 (*.f64 1/3 (/.f64 x y))) 1)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1 (/.f64 y (*.f64 1/3 x)))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (neg.f64 (*.f64 1/3 x)) (neg.f64 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (/.f64 (*.f64 1/3 x) 1) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (/.f64 (*.f64 1/3 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (/.f64 (*.f64 1/3 x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (*.f64 -1/3 x) (neg.f64 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (*.f64 x -1/3) (neg.f64 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(pow.f64 (*.f64 1/3 (/.f64 x y)) 1)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(pow.f64 (pow.f64 (*.f64 1/3 (/.f64 x y)) 3) 1/3)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 x y))) 3)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(pow.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))) 2)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(sqrt.f64 (pow.f64 (*.f64 1/3 (/.f64 x y)) 2))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(cbrt.f64 (pow.f64 (*.f64 1/3 (/.f64 x y)) 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(log1p.f64 (expm1.f64 (*.f64 1/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(exp.f64 (log.f64 (*.f64 1/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.6b	(*.f64 (/.f64 x y) 1/3)

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite39.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

655×	`pow1_binary64`
608×	`add-log-exp_binary64`
608×	`log1p-expm1-u_binary64`
608×	`expm1-log1p-u_binary64`
596×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1613	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify67.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

555×	`distribute-rgt-in_binary64`
555×	`log-prod_binary64`
368×	`associate-l_binary64`
353×	`associate-r_binary64`
275×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	315
1	144	315
2	502	315
3	3499	315

Stop Event

1×	node limit

Counts

45 → 23

Calls

Call 1

Inputs
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(-.f64 (+.f64 1 (*.f64 (/.f64 x y) 1/3)) 1)
(/.f64 x (/.f64 y 1/3))
(/.f64 1/3 (/.f64 y x))
(/.f64 1 (/.f64 y (*.f64 x 1/3)))
(/.f64 (*.f64 x 1/3) y)
(/.f64 (neg.f64 (*.f64 x 1/3)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x 1/3) 1) y)
(/.f64 (/.f64 (*.f64 x 1/3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x 1/3) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (neg.f64 x) 1/3) (neg.f64 y))
(/.f64 (*.f64 1/3 (neg.f64 x)) (neg.f64 y))
(pow.f64 (*.f64 (/.f64 x y) 1/3) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 2)
(sqrt.f64 (*.f64 1/9 (pow.f64 (/.f64 x y) 2)))
(log.f64 (pow.f64 (exp.f64 1/3) (/.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) 1/3)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) 1/3)))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) 1/3)))

Outputs
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(-.f64 (+.f64 1 (*.f64 (/.f64 x y) 1/3)) 1)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(/.f64 1 (/.f64 y (*.f64 x 1/3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(/.f64 (*.f64 x 1/3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(/.f64 (neg.f64 (*.f64 x 1/3)) (neg.f64 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(/.f64 (/.f64 (*.f64 x 1/3) 1) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(/.f64 (/.f64 (*.f64 x 1/3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(/.f64 (/.f64 (*.f64 x 1/3) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(/.f64 (*.f64 (neg.f64 x) 1/3) (neg.f64 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(/.f64 (*.f64 1/3 (neg.f64 x)) (neg.f64 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(pow.f64 (*.f64 (/.f64 x y) 1/3) 1)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3) 1/3)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) 3)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 2)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(sqrt.f64 (*.f64 1/9 (pow.f64 (/.f64 x y) 2)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(log.f64 (pow.f64 (exp.f64 1/3) (/.f64 x y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) 1/3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) 1/3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) 1/3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`pow1_binary64`
774×	`add-log-exp_binary64`
774×	`log1p-expm1-u_binary64`
774×	`expm1-log1p-u_binary64`
760×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	171	7
2	2134	7

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify44.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

573×	`log-prod_binary64`
452×	`associate-/l*_binary64`
440×	`associate-*l/_binary64`
405×	`cube-div_binary64`
334×	`fabs-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	493
1	316	493
2	1111	493
3	5727	493

Stop Event

1×	node limit

Counts

70 → 48

Calls

Call 1

Inputs
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(-.f64 (+.f64 1 (*.f64 (/.f64 x y) 1/3)) 1)
(/.f64 1 (*.f64 y (/.f64 3 x)))
(/.f64 1 (*.f64 (/.f64 3 x) y))
(/.f64 1 (/.f64 (*.f64 y 3) x))
(/.f64 1 (/.f64 y (*.f64 x 1/3)))
(/.f64 1 (/.f64 3 (/.f64 x y)))
(/.f64 (/.f64 1 y) (/.f64 3 x))
(/.f64 x (*.f64 y 3))
(/.f64 x (/.f64 y 1/3))
(/.f64 (*.f64 x 1/3) y)
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 y 3) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (/.f64 y (cbrt.f64 (.f64 x 1/3))))
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 y 3) (sqrt.f64 x)))
(/.f64 (sqrt.f64 (.f64 x 1/3)) (/.f64 y (sqrt.f64 (.f64 x 1/3))))
(/.f64 -1 (*.f64 (neg.f64 y) (/.f64 3 x)))
(/.f64 -1 (*.f64 (/.f64 3 x) (neg.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 y 3)))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) 3))
(/.f64 (neg.f64 x) (*.f64 y -3))
(/.f64 (/.f64 x y) 3)
(/.f64 (neg.f64 (*.f64 x 1/3)) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 x y)) -3)
(/.f64 (.f64 -1 (neg.f64 x)) (.f64 (neg.f64 y) -3))
(/.f64 (.f64 (neg.f64 x) 1) (.f64 -3 y))
(/.f64 (.f64 x -1) (.f64 3 (neg.f64 y)))
(/.f64 (.f64 (neg.f64 x) -1) (.f64 -3 (neg.f64 y)))
(/.f64 (/.f64 (*.f64 x 1/3) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 x 1/3) 1) y)
(/.f64 (/.f64 (*.f64 x 1/3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (.f64 -1 (.f64 x 1/3)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) (/.f64 1 y)) -3)
(/.f64 (*.f64 (/.f64 1 y) (neg.f64 x)) -3)
(/.f64 (.f64 (.f64 x 1/3) -1) (neg.f64 y))
(pow.f64 (*.f64 (/.f64 x y) 1/3) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 2))
(log.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x 1/3) 3) (pow.f64 y 3)))
(cbrt.f64 (.f64 (/.f64 (pow.f64 y -2) y) (pow.f64 (.f64 x 1/3) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x 1/3) 3) (/.f64 (pow.f64 y -2) y)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) 1/3)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) 1/3)))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) 1/3)))

Outputs
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (*.f64 y 3))
(-.f64 (+.f64 1 (*.f64 (/.f64 x y) 1/3)) 1)
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 1 (*.f64 y (/.f64 3 x)))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 1 (*.f64 (/.f64 3 x) y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 1 (/.f64 (*.f64 y 3) x))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 1 (/.f64 y (*.f64 x 1/3)))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 1 (/.f64 3 (/.f64 x y)))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (/.f64 1 y) (/.f64 3 x))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 x (*.f64 y 3))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 y 1/3))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (*.f64 x 1/3) y)
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 y 3) (cbrt.f64 x)))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (/.f64 y (cbrt.f64 (.f64 x 1/3))))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 y 3) (sqrt.f64 x)))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (sqrt.f64 (.f64 x 1/3)) (/.f64 y (sqrt.f64 (.f64 x 1/3))))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 -1 (*.f64 (neg.f64 y) (/.f64 3 x)))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 -1 (*.f64 (/.f64 3 x) (neg.f64 y)))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 y 3)))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) 3))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (neg.f64 x) (*.f64 y -3))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (/.f64 x y) 3)
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (neg.f64 (*.f64 x 1/3)) (neg.f64 y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (neg.f64 (/.f64 x y)) -3)
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (.f64 -1 (neg.f64 x)) (.f64 (neg.f64 y) -3))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (.f64 (neg.f64 x) 1) (.f64 -3 y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (.f64 x -1) (.f64 3 (neg.f64 y)))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (.f64 (neg.f64 x) -1) (.f64 -3 (neg.f64 y)))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (/.f64 (*.f64 x 1/3) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (/.f64 (*.f64 x 1/3) 1) y)
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (/.f64 (*.f64 x 1/3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (.f64 -1 (.f64 x 1/3)) (neg.f64 y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (*.f64 (neg.f64 x) (/.f64 1 y)) -3)
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (*.f64 (/.f64 1 y) (neg.f64 x)) -3)
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 (.f64 (.f64 x 1/3) -1) (neg.f64 y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(pow.f64 (*.f64 (/.f64 x y) 1/3) 1)
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3) 1/3)
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) 3)
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 2)
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 2))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(log.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x 1/3) 3) (pow.f64 y 3)))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(cbrt.f64 (.f64 (/.f64 (pow.f64 y -2) y) (pow.f64 (.f64 x 1/3) 3)))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 x 1/3) 3) (/.f64 (pow.f64 y -2) y)))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) 1/3)))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) 1/3)))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) 1/3)))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 3 (/.f64 y x))
✓	0.6b	(pow.f64 (*.f64 3 (/.f64 y x)) -1)

Compiler

Compiled 21 to 11 computations (47.6% saved)

series8.0ms (0.3%)

Counts

2 → 24

Calls

12 calls:

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

rewrite47.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

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

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

simplify54.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

676×	`log-prod_binary64`
596×	`associate-l_binary64`
510×	`fma-neg_binary64`
466×	`log-div_binary64`
376×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	645
1	243	588
2	879	531
3	5683	531

Stop Event

1×	node limit

Counts

68 → 54

Calls

Call 1

Inputs
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(-.f64 (+.f64 1 (*.f64 1/3 (/.f64 x y))) 1)
(.f64 (.f64 1/3 (/.f64 x y)) 1)
(.f64 1 (.f64 1/3 (/.f64 x y)))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 3 (/.f64 y x)) -2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (/.f64 y x)) -2)) (cbrt.f64 (*.f64 1/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x y) 1/3)
(.f64 (sqrt.f64 (.f64 1/3 (/.f64 x y))) (sqrt.f64 (*.f64 1/3 (/.f64 x y))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 3 (/.f64 y x))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 3 (/.f64 y x))) -1))
(.f64 (pow.f64 (sqrt.f64 (.f64 3 (/.f64 y x))) -1) (pow.f64 (sqrt.f64 (*.f64 3 (/.f64 y x))) -1))
(.f64 (/.f64 1 (.f64 3 y)) x)
(/.f64 -1 (neg.f64 (*.f64 3 (/.f64 y x))))
(/.f64 1 (*.f64 3 (/.f64 y x)))
(/.f64 1 (/.f64 (*.f64 3 (/.f64 y x)) 1))
(/.f64 1/3 (/.f64 y x))
(/.f64 (/.f64 x y) 3)
(/.f64 (sqrt.f64 (.f64 1/3 (/.f64 x y))) (sqrt.f64 (.f64 3 (/.f64 y x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 3 (/.f64 y x))) 2)) (cbrt.f64 (.f64 3 (/.f64 y x))))
(sqrt.f64 (pow.f64 (*.f64 3 (/.f64 y x)) -2))
(log.f64 (pow.f64 (exp.f64 1/3) (/.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 1/3 (/.f64 x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 1/3 (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 1/3 (/.f64 x y))))
(-.f64 (+.f64 1 (*.f64 3 (/.f64 y x))) 1)
(/.f64 3 (/.f64 x y))
(/.f64 1 (/.f64 x (*.f64 3 y)))
(/.f64 (*.f64 3 y) x)
(/.f64 (neg.f64 (*.f64 3 y)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 3 y) 1) x)
(/.f64 (/.f64 (.f64 3 y) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 (neg.f64 y) 3) (neg.f64 x))
(/.f64 (*.f64 3 (neg.f64 y)) (neg.f64 x))
(pow.f64 (*.f64 3 (/.f64 y x)) 1)
(pow.f64 (pow.f64 (*.f64 3 (/.f64 y x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 3 (/.f64 y x))) 3)
(pow.f64 (sqrt.f64 (*.f64 3 (/.f64 y x))) 2)
(sqrt.f64 (pow.f64 (*.f64 3 (/.f64 y x)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 y x)) 3))
(cbrt.f64 (pow.f64 (*.f64 3 (/.f64 y x)) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (/.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 3 (/.f64 y x))))
(exp.f64 (log.f64 (*.f64 3 (/.f64 y x))))

Outputs
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(-.f64 (+.f64 1 (*.f64 1/3 (/.f64 x y))) 1)
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(.f64 (.f64 1/3 (/.f64 x y)) 1)
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(.f64 1 (.f64 1/3 (/.f64 x y)))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 3 (/.f64 y x)) -2)))
(.f64 (cbrt.f64 (/.f64 (.f64 1/3 x) y)) (cbrt.f64 (pow.f64 (*.f64 3 (/.f64 y x)) -2)))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 y (/.f64 3 x)) -2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (/.f64 y x)) -2)) (cbrt.f64 (*.f64 1/3 (/.f64 x y))))
(.f64 (cbrt.f64 (/.f64 (.f64 1/3 x) y)) (cbrt.f64 (pow.f64 (*.f64 3 (/.f64 y x)) -2)))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 y (/.f64 3 x)) -2)))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 (/.f64 x y) 1/3)
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(.f64 (sqrt.f64 (.f64 1/3 (/.f64 x y))) (sqrt.f64 (*.f64 1/3 (/.f64 x y))))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 3 (/.f64 y x))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 3 (/.f64 y x))) -1))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(.f64 (pow.f64 (sqrt.f64 (.f64 3 (/.f64 y x))) -1) (pow.f64 (sqrt.f64 (*.f64 3 (/.f64 y x))) -1))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(.f64 (/.f64 1 (.f64 3 y)) x)
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 -1 (neg.f64 (*.f64 3 (/.f64 y x))))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 1 (*.f64 3 (/.f64 y x)))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 1 (/.f64 (*.f64 3 (/.f64 y x)) 1))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x y) 3)
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (sqrt.f64 (.f64 1/3 (/.f64 x y))) (sqrt.f64 (.f64 3 (/.f64 y x))))
(/.f64 (sqrt.f64 (/.f64 (.f64 1/3 x) y)) (sqrt.f64 (.f64 3 (/.f64 y x))))
(/.f64 (sqrt.f64 (.f64 1/3 (/.f64 x y))) (sqrt.f64 (.f64 y (/.f64 3 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 3 (/.f64 y x))) 2)) (cbrt.f64 (.f64 3 (/.f64 y x))))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 3 (/.f64 y x)) -2))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(log.f64 (pow.f64 (exp.f64 1/3) (/.f64 x y)))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 1/3 (/.f64 x y)) 3))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 1/3 (/.f64 x y))))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 1/3 (/.f64 x y))))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(exp.f64 (log.f64 (*.f64 1/3 (/.f64 x y))))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(-.f64 (+.f64 1 (*.f64 3 (/.f64 y x))) 1)
(+.f64 1 (-.f64 (*.f64 3 (/.f64 y x)) 1))
(+.f64 (*.f64 y (/.f64 3 x)) 0)
(*.f64 y (/.f64 3 x))
(/.f64 3 (/.f64 x y))
(+.f64 1 (-.f64 (*.f64 3 (/.f64 y x)) 1))
(+.f64 (*.f64 y (/.f64 3 x)) 0)
(*.f64 y (/.f64 3 x))
(/.f64 1 (/.f64 x (*.f64 3 y)))
(+.f64 1 (-.f64 (*.f64 3 (/.f64 y x)) 1))
(+.f64 (*.f64 y (/.f64 3 x)) 0)
(*.f64 y (/.f64 3 x))
(/.f64 (*.f64 3 y) x)
(+.f64 1 (-.f64 (*.f64 3 (/.f64 y x)) 1))
(+.f64 (*.f64 y (/.f64 3 x)) 0)
(*.f64 y (/.f64 3 x))
(/.f64 (neg.f64 (*.f64 3 y)) (neg.f64 x))
(+.f64 1 (-.f64 (*.f64 3 (/.f64 y x)) 1))
(+.f64 (*.f64 y (/.f64 3 x)) 0)
(*.f64 y (/.f64 3 x))
(/.f64 (/.f64 (*.f64 3 y) 1) x)
(+.f64 1 (-.f64 (*.f64 3 (/.f64 y x)) 1))
(+.f64 (*.f64 y (/.f64 3 x)) 0)
(*.f64 y (/.f64 3 x))
(/.f64 (/.f64 (.f64 3 y) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
(/.f64 (.f64 y 3) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x))))
(.f64 (/.f64 y (cbrt.f64 x)) (/.f64 3 (cbrt.f64 (.f64 x x))))
(/.f64 (/.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 1 (-.f64 (*.f64 3 (/.f64 y x)) 1))
(+.f64 (*.f64 y (/.f64 3 x)) 0)
(*.f64 y (/.f64 3 x))
(/.f64 (*.f64 (neg.f64 y) 3) (neg.f64 x))
(+.f64 1 (-.f64 (*.f64 3 (/.f64 y x)) 1))
(+.f64 (*.f64 y (/.f64 3 x)) 0)
(*.f64 y (/.f64 3 x))
(/.f64 (*.f64 3 (neg.f64 y)) (neg.f64 x))
(+.f64 1 (-.f64 (*.f64 3 (/.f64 y x)) 1))
(+.f64 (*.f64 y (/.f64 3 x)) 0)
(*.f64 y (/.f64 3 x))
(pow.f64 (*.f64 3 (/.f64 y x)) 1)
(+.f64 1 (-.f64 (*.f64 3 (/.f64 y x)) 1))
(+.f64 (*.f64 y (/.f64 3 x)) 0)
(*.f64 y (/.f64 3 x))
(pow.f64 (pow.f64 (*.f64 3 (/.f64 y x)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 3 (/.f64 y x)) 1))
(+.f64 (*.f64 y (/.f64 3 x)) 0)
(*.f64 y (/.f64 3 x))
(pow.f64 (cbrt.f64 (*.f64 3 (/.f64 y x))) 3)
(+.f64 1 (-.f64 (*.f64 3 (/.f64 y x)) 1))
(+.f64 (*.f64 y (/.f64 3 x)) 0)
(*.f64 y (/.f64 3 x))
(pow.f64 (sqrt.f64 (*.f64 3 (/.f64 y x))) 2)
(+.f64 1 (-.f64 (*.f64 3 (/.f64 y x)) 1))
(+.f64 (*.f64 y (/.f64 3 x)) 0)
(*.f64 y (/.f64 3 x))
(sqrt.f64 (pow.f64 (*.f64 3 (/.f64 y x)) 2))
(+.f64 1 (-.f64 (*.f64 3 (/.f64 y x)) 1))
(+.f64 (*.f64 y (/.f64 3 x)) 0)
(*.f64 y (/.f64 3 x))
(log.f64 (pow.f64 (exp.f64 (/.f64 y x)) 3))
(+.f64 1 (-.f64 (*.f64 3 (/.f64 y x)) 1))
(+.f64 (*.f64 y (/.f64 3 x)) 0)
(*.f64 y (/.f64 3 x))
(cbrt.f64 (pow.f64 (*.f64 3 (/.f64 y x)) 3))
(+.f64 1 (-.f64 (*.f64 3 (/.f64 y x)) 1))
(+.f64 (*.f64 y (/.f64 3 x)) 0)
(*.f64 y (/.f64 3 x))
(expm1.f64 (log1p.f64 (*.f64 3 (/.f64 y x))))
(+.f64 1 (-.f64 (*.f64 3 (/.f64 y x)) 1))
(+.f64 (*.f64 y (/.f64 3 x)) 0)
(*.f64 y (/.f64 3 x))
(log1p.f64 (expm1.f64 (*.f64 3 (/.f64 y x))))
(+.f64 1 (-.f64 (*.f64 3 (/.f64 y x)) 1))
(+.f64 (*.f64 y (/.f64 3 x)) 0)
(*.f64 y (/.f64 3 x))
(exp.f64 (log.f64 (*.f64 3 (/.f64 y x))))
(+.f64 1 (-.f64 (*.f64 3 (/.f64 y x)) 1))
(+.f64 (*.f64 y (/.f64 3 x)) 0)
(*.f64 y (/.f64 3 x))

localize12.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 x (pow.f64 (cbrt.f64 (*.f64 y 3)) 3))
✓	0.6b	(cbrt.f64 (*.f64 y 3))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 y 3)) 3)

Compiler

Compiled 26 to 19 computations (26.9% saved)

series29.0ms (1%)

Counts

3 → 24

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	y	@	0	(/.f64 x (pow.f64 (cbrt.f64 (*.f64 y 3)) 3))
4.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 y 3)) 3)
3.0ms	x	@	0	(/.f64 x (pow.f64 (cbrt.f64 (*.f64 y 3)) 3))
2.0ms	y	@	-inf	(/.f64 x (pow.f64 (cbrt.f64 (*.f64 y 3)) 3))
1.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 y 3)) 3)

rewrite52.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

760×	`pow1_binary64`
716×	`add-log-exp_binary64`
716×	`log1p-expm1-u_binary64`
716×	`expm1-log1p-u_binary64`
699×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	174	17
2	1962	17

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 y 3)) 3)
(cbrt.f64 (*.f64 y 3))
(/.f64 x (pow.f64 (cbrt.f64 (*.f64 y 3)) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (pow.f64 (cbrt.f64 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y 3)) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2) (cbrt.f64 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y 3))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y 3))) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 3) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y 3) 1/6) (*.f64 (pow.f64 (*.f64 y 3) 1/6) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y 3)) (sqrt.f64 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y 3))) 2) 3) (cbrt.f64 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 y 3) 1/6) 3) (pow.f64 (pow.f64 (*.f64 y 3) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2) 1) (cbrt.f64 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y 3))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2) (cbrt.f64 y)) (cbrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2) (pow.f64 (*.f64 y 3) 1/6)) (pow.f64 (*.f64 y 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 3)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 y 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 y 3))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 y 3))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y 3))) 2) (cbrt.f64 (cbrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (cbrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 3) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y 3) 1/6) (pow.f64 (*.f64 y 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 y 3)) 1/3) (pow.f64 (sqrt.f64 (*.f64 y 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y 3) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 y 3))))))))

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

simplify57.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

897×	`log-div_binary64`
551×	`associate-*l/_binary64`
512×	`fma-neg_binary64`
457×	`associate-*r/_binary64`
301×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	1016
1	460	887
2	1634	755
3	6426	755

Stop Event

1×	node limit

Counts

113 → 101

Calls

Call 1

Inputs
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(-.f64 (+.f64 1 (*.f64 y 3)) 1)
(*.f64 y 3)
(*.f64 y (pow.f64 (cbrt.f64 3) 3))
(*.f64 3 y)
(.f64 (.f64 y 3) 1)
(.f64 (cbrt.f64 (.f64 y 3)) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2))
(.f64 1 (.f64 y 3))
(.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2) (cbrt.f64 (*.f64 y 3)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y 3))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 y 3))) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(.f64 (cbrt.f64 y) (.f64 (cbrt.f64 3) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) 3))
(.f64 (pow.f64 (.f64 y 3) 1/6) (.f64 (pow.f64 (.f64 y 3) 1/6) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) 3))
(.f64 (sqrt.f64 (.f64 y 3)) (sqrt.f64 (*.f64 y 3)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y 3))) 2) 3) (cbrt.f64 (*.f64 y 3)))
(.f64 (pow.f64 (pow.f64 (.f64 y 3) 1/6) 3) (pow.f64 (pow.f64 (*.f64 y 3) 1/6) 3))
(.f64 (.f64 3 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(.f64 (.f64 3 (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2) 1) (cbrt.f64 (.f64 y 3)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y 3))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 y 3))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2) (cbrt.f64 y)) (cbrt.f64 3))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2) (pow.f64 (.f64 y 3) 1/6)) (pow.f64 (*.f64 y 3) 1/6))
(sqrt.f64 (.f64 (.f64 y y) 9))
(log.f64 (pow.f64 (exp.f64 y) 3))
(cbrt.f64 (pow.f64 (*.f64 y 3) 3))
(expm1.f64 (log1p.f64 (*.f64 y 3)))
(log1p.f64 (expm1.f64 (*.f64 y 3)))
(exp.f64 (log.f64 (*.f64 y 3)))
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 y 3))) 1)
(.f64 (cbrt.f64 (.f64 y 3)) 1)
(.f64 1 (cbrt.f64 (.f64 y 3)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 y 3))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y 3))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 y 3))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y 3))) 2) (cbrt.f64 (cbrt.f64 (*.f64 y 3))))
(*.f64 (cbrt.f64 y) (cbrt.f64 3))
(*.f64 (cbrt.f64 3) (cbrt.f64 y))
(.f64 (pow.f64 (.f64 y 3) 1/6) (pow.f64 (*.f64 y 3) 1/6))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 y 3))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 y 3)))
(.f64 (pow.f64 (sqrt.f64 (.f64 y 3)) 1/3) (pow.f64 (sqrt.f64 (*.f64 y 3)) 1/3))
(pow.f64 (*.f64 y 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 y 3)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y 3))) 3)
(pow.f64 (pow.f64 (*.f64 y 3) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y 3))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y 3))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y 3))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y 3))))
(-.f64 (+.f64 1 (/.f64 x (*.f64 y 3))) 1)
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 x (.f64 y 3)) 1)
(.f64 1 (/.f64 x (.f64 y 3)))
(.f64 (cbrt.f64 (/.f64 x (.f64 y 3))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y 3))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x (.f64 y 3))) 2) (cbrt.f64 (/.f64 x (*.f64 y 3))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1/3 y)))
(.f64 (sqrt.f64 (/.f64 x (.f64 y 3))) (sqrt.f64 (/.f64 x (*.f64 y 3))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x y))
(.f64 (neg.f64 x) (/.f64 1 (.f64 y -3)))
(*.f64 (/.f64 1/3 y) x)
(*.f64 (/.f64 1 y) (/.f64 x 3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) 3))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 3))
(*.f64 (/.f64 (sqrt.f64 x) 3) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 3) (/.f64 (cbrt.f64 x) y))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y 3))) (/.f64 x (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 y 3))) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (.f64 y 3))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y 3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (.f64 y 3)))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (.f64 y 3)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 x (cbrt.f64 (*.f64 y 3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (cbrt.f64 (/.f64 x (*.f64 y 3))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 y 3))) (/.f64 x (sqrt.f64 (*.f64 y 3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (.f64 y 3))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y 3))))
(pow.f64 (/.f64 x (*.f64 y 3)) 1)
(pow.f64 (pow.f64 (/.f64 x (*.f64 y 3)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 y 3))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (*.f64 y 3))) 2)
(pow.f64 (*.f64 3 (/.f64 y x)) -1)
(neg.f64 (/.f64 x (*.f64 y -3)))
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 y 3)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 1/3 y)))
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 y 3)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 3) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 y 3))))
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 y 3))))
(exp.f64 (log.f64 (/.f64 x (*.f64 y 3))))

Outputs
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(-.f64 (+.f64 1 (*.f64 y 3)) 1)
(+.f64 1 (-.f64 (*.f64 y 3) 1))
(+.f64 (*.f64 y 3) 0)
(*.f64 y 3)
(*.f64 y 3)
(+.f64 1 (-.f64 (*.f64 y 3) 1))
(+.f64 (*.f64 y 3) 0)
(*.f64 y (pow.f64 (cbrt.f64 3) 3))
(+.f64 1 (-.f64 (*.f64 y 3) 1))
(+.f64 (*.f64 y 3) 0)
(*.f64 y 3)
(*.f64 3 y)
(+.f64 1 (-.f64 (*.f64 y 3) 1))
(+.f64 (*.f64 y 3) 0)
(*.f64 y 3)
(.f64 (.f64 y 3) 1)
(+.f64 1 (-.f64 (*.f64 y 3) 1))
(+.f64 (*.f64 y 3) 0)
(*.f64 y 3)
(.f64 (cbrt.f64 (.f64 y 3)) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2))
(+.f64 1 (-.f64 (*.f64 y 3) 1))
(+.f64 (*.f64 y 3) 0)
(*.f64 y 3)
(.f64 1 (.f64 y 3))
(+.f64 1 (-.f64 (*.f64 y 3) 1))
(+.f64 (*.f64 y 3) 0)
(*.f64 y 3)
(.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2) (cbrt.f64 (*.f64 y 3)))
(+.f64 1 (-.f64 (*.f64 y 3) 1))
(+.f64 (*.f64 y 3) 0)
(*.f64 y 3)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y 3))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 y 3))) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(+.f64 1 (-.f64 (*.f64 y 3) 1))
(+.f64 (*.f64 y 3) 0)
(*.f64 y 3)
(.f64 (cbrt.f64 y) (.f64 (cbrt.f64 3) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(.f64 (cbrt.f64 3) (.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2) (cbrt.f64 y)))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) 3))
(+.f64 1 (-.f64 (*.f64 y 3) 1))
(+.f64 (*.f64 y 3) 0)
(*.f64 y 3)
(.f64 (pow.f64 (.f64 y 3) 1/6) (.f64 (pow.f64 (.f64 y 3) 1/6) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(+.f64 1 (-.f64 (*.f64 y 3) 1))
(+.f64 (*.f64 y 3) 0)
(*.f64 y 3)
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) 3))
(+.f64 1 (-.f64 (*.f64 y 3) 1))
(+.f64 (*.f64 y 3) 0)
(*.f64 y 3)
(.f64 (sqrt.f64 (.f64 y 3)) (sqrt.f64 (*.f64 y 3)))
(+.f64 1 (-.f64 (*.f64 y 3) 1))
(+.f64 (*.f64 y 3) 0)
(*.f64 y 3)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y 3))) 2) 3) (cbrt.f64 (*.f64 y 3)))
(+.f64 1 (-.f64 (*.f64 y 3) 1))
(+.f64 (*.f64 y 3) 0)
(*.f64 y 3)
(.f64 (pow.f64 (pow.f64 (.f64 y 3) 1/6) 3) (pow.f64 (pow.f64 (*.f64 y 3) 1/6) 3))
(+.f64 1 (-.f64 (*.f64 y 3) 1))
(+.f64 (*.f64 y 3) 0)
(*.f64 y 3)
(.f64 (.f64 3 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(+.f64 1 (-.f64 (*.f64 y 3) 1))
(+.f64 (*.f64 y 3) 0)
(*.f64 y 3)
(.f64 (.f64 3 (sqrt.f64 y)) (sqrt.f64 y))
(+.f64 1 (-.f64 (*.f64 y 3) 1))
(+.f64 (*.f64 y 3) 0)
(*.f64 y 3)
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2) 1) (cbrt.f64 (.f64 y 3)))
(+.f64 1 (-.f64 (*.f64 y 3) 1))
(+.f64 (*.f64 y 3) 0)
(*.f64 y 3)
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y 3))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 y 3))))
(+.f64 1 (-.f64 (*.f64 y 3) 1))
(+.f64 (*.f64 y 3) 0)
(*.f64 y 3)
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2) (cbrt.f64 y)) (cbrt.f64 3))
(.f64 (cbrt.f64 y) (.f64 (cbrt.f64 3) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(.f64 (cbrt.f64 3) (.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2) (cbrt.f64 y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2) (pow.f64 (.f64 y 3) 1/6)) (pow.f64 (*.f64 y 3) 1/6))
(+.f64 1 (-.f64 (*.f64 y 3) 1))
(+.f64 (*.f64 y 3) 0)
(*.f64 y 3)
(sqrt.f64 (.f64 (.f64 y y) 9))
(sqrt.f64 (.f64 y (.f64 y 9)))
(fabs.f64 (*.f64 y 3))
(log.f64 (pow.f64 (exp.f64 y) 3))
(+.f64 1 (-.f64 (*.f64 y 3) 1))
(+.f64 (*.f64 y 3) 0)
(*.f64 y 3)
(cbrt.f64 (pow.f64 (*.f64 y 3) 3))
(+.f64 1 (-.f64 (*.f64 y 3) 1))
(+.f64 (*.f64 y 3) 0)
(*.f64 y 3)
(expm1.f64 (log1p.f64 (*.f64 y 3)))
(+.f64 1 (-.f64 (*.f64 y 3) 1))
(+.f64 (*.f64 y 3) 0)
(*.f64 y 3)
(log1p.f64 (expm1.f64 (*.f64 y 3)))
(+.f64 1 (-.f64 (*.f64 y 3) 1))
(+.f64 (*.f64 y 3) 0)
(*.f64 y 3)
(exp.f64 (log.f64 (*.f64 y 3)))
(+.f64 1 (-.f64 (*.f64 y 3) 1))
(+.f64 (*.f64 y 3) 0)
(*.f64 y 3)
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 y 3))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 y 3)) 1))
(+.f64 (cbrt.f64 (*.f64 y 3)) 0)
(cbrt.f64 (*.f64 y 3))
(.f64 (cbrt.f64 (.f64 y 3)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 y 3)) 1))
(+.f64 (cbrt.f64 (*.f64 y 3)) 0)
(cbrt.f64 (*.f64 y 3))
(.f64 1 (cbrt.f64 (.f64 y 3)))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 y 3)) 1))
(+.f64 (cbrt.f64 (*.f64 y 3)) 0)
(cbrt.f64 (*.f64 y 3))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 y 3))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y 3))) 2))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 y 3)) 1))
(+.f64 (cbrt.f64 (*.f64 y 3)) 0)
(cbrt.f64 (*.f64 y 3))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 y 3))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2) 1/3))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 y 3)) 1))
(+.f64 (cbrt.f64 (*.f64 y 3)) 0)
(cbrt.f64 (*.f64 y 3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y 3))) 2) (cbrt.f64 (cbrt.f64 (*.f64 y 3))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 y 3)) 1))
(+.f64 (cbrt.f64 (*.f64 y 3)) 0)
(cbrt.f64 (*.f64 y 3))
(*.f64 (cbrt.f64 y) (cbrt.f64 3))
(*.f64 (cbrt.f64 3) (cbrt.f64 y))
(*.f64 (cbrt.f64 3) (cbrt.f64 y))
(.f64 (pow.f64 (.f64 y 3) 1/6) (pow.f64 (*.f64 y 3) 1/6))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 y 3)) 1))
(+.f64 (cbrt.f64 (*.f64 y 3)) 0)
(cbrt.f64 (*.f64 y 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 y 3))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 y 3)) 1))
(+.f64 (cbrt.f64 (*.f64 y 3)) 0)
(cbrt.f64 (*.f64 y 3))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 y 3)))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 y 3)) 1))
(+.f64 (cbrt.f64 (*.f64 y 3)) 0)
(cbrt.f64 (*.f64 y 3))
(.f64 (pow.f64 (sqrt.f64 (.f64 y 3)) 1/3) (pow.f64 (sqrt.f64 (*.f64 y 3)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 y 3))) (cbrt.f64 (sqrt.f64 (*.f64 y 3))))
(pow.f64 (*.f64 y 3) 1/3)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 y 3)) 1))
(+.f64 (cbrt.f64 (*.f64 y 3)) 0)
(cbrt.f64 (*.f64 y 3))
(pow.f64 (cbrt.f64 (*.f64 y 3)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 y 3)) 1))
(+.f64 (cbrt.f64 (*.f64 y 3)) 0)
(cbrt.f64 (*.f64 y 3))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y 3))) 3)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 y 3)) 1))
(+.f64 (cbrt.f64 (*.f64 y 3)) 0)
(cbrt.f64 (*.f64 y 3))
(pow.f64 (pow.f64 (*.f64 y 3) 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 y 3)) 1))
(+.f64 (cbrt.f64 (*.f64 y 3)) 0)
(cbrt.f64 (*.f64 y 3))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 y 3)) 1))
(+.f64 (cbrt.f64 (*.f64 y 3)) 0)
(cbrt.f64 (*.f64 y 3))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y 3))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 y 3)) 1))
(+.f64 (cbrt.f64 (*.f64 y 3)) 0)
(cbrt.f64 (*.f64 y 3))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y 3))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 y 3)) 1))
(+.f64 (cbrt.f64 (*.f64 y 3)) 0)
(cbrt.f64 (*.f64 y 3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y 3))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 y 3)) 1))
(+.f64 (cbrt.f64 (*.f64 y 3)) 0)
(cbrt.f64 (*.f64 y 3))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y 3))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 y 3)) 1))
(+.f64 (cbrt.f64 (*.f64 y 3)) 0)
(cbrt.f64 (*.f64 y 3))
(-.f64 (+.f64 1 (/.f64 x (*.f64 y 3))) 1)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(.f64 (/.f64 x (.f64 y 3)) 1)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 1 (/.f64 x (.f64 y 3)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (cbrt.f64 (/.f64 x (.f64 y 3))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y 3))) 2))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x (.f64 y 3))) 2) (cbrt.f64 (/.f64 x (*.f64 y 3))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (sqrt.f64 (/.f64 x (.f64 y 3))) (sqrt.f64 (/.f64 x (*.f64 y 3))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (neg.f64 x) (/.f64 1 (.f64 y -3)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 1 y) (/.f64 x 3))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) 3))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 3))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 (sqrt.f64 x) 3) (/.f64 (sqrt.f64 x) y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 3) (/.f64 (cbrt.f64 x) y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y 3))) (/.f64 x (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 y 3))) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (.f64 y 3))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y 3))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (.f64 y 3)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (.f64 y 3)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 x (cbrt.f64 (*.f64 y 3))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (cbrt.f64 (/.f64 x (*.f64 y 3))))
(.f64 (cbrt.f64 (/.f64 x (.f64 y 3))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (.f64 x (/.f64 1/3 y))) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 y 3))) (/.f64 x (sqrt.f64 (*.f64 y 3))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (.f64 y 3))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y 3))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(pow.f64 (/.f64 x (*.f64 y 3)) 1)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(pow.f64 (pow.f64 (/.f64 x (*.f64 y 3)) 3) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 y 3))) 3)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(pow.f64 (sqrt.f64 (/.f64 x (*.f64 y 3))) 2)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(pow.f64 (*.f64 3 (/.f64 y x)) -1)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(neg.f64 (/.f64 x (*.f64 y -3)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 y 3)) 2))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 y 3)) 3))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 3) 3)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 y 3))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 y 3))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(exp.f64 (log.f64 (/.f64 x (*.f64 y 3))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))

eval85.0ms (3.1%)

Compiler: Compiled 2549 to 1718 computations (32.6% saved)

prune58.0ms (2.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	267	4	271
Fresh	2	0	2
Picked	1	0	1
Done	2	3	5
Total	272	7	279

Error

Counts

279 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(/.f64 (/.f64 x y) 3)
▶	0.3b	(/.f64 (/.f64 1 y) (/.f64 3 x))
▶	0.3b	(/.f64 (*.f64 x 1/3) y)
✓	0.3b	(/.f64 x (*.f64 y 3))
▶	0.5b	(/.f64 1/3 (/.f64 y x))
✓	0.3b	(*.f64 (/.f64 1 y) (/.f64 x 3))
✓	0.3b	(*.f64 (/.f64 1/3 y) x)

Compiler

Compiled 53 to 39 computations (26.4% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series1.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite42.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

699×	`pow1_binary64`
652×	`add-log-exp_binary64`
652×	`log1p-expm1-u_binary64`
652×	`expm1-log1p-u_binary64`
639×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	134	7
2	1770	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify45.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

427×	`associate-/r*_binary64`
360×	`associate-/l/_binary64`
356×	`distribute-rgt-in_binary64`
343×	`fma-def_binary64`
331×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	355
1	159	355
2	586	355
3	2457	352

Stop Event

1×	node limit

Counts

50 → 29

Calls

Call 1

Inputs
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(-.f64 (+.f64 1 (*.f64 1/3 (/.f64 x y))) 1)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 1/3 (/.f64 x y)) 1)
(.f64 1 (.f64 1/3 (/.f64 x y)))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 x y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (/.f64 x y))) 2) (cbrt.f64 (*.f64 1/3 (/.f64 x y))))
(.f64 (sqrt.f64 (.f64 1/3 (/.f64 x y))) (sqrt.f64 (*.f64 1/3 (/.f64 x y))))
(*.f64 -1/3 (/.f64 1 (/.f64 (neg.f64 y) x)))
(*.f64 (/.f64 x y) 1/3)
(*.f64 (/.f64 1/3 y) x)
(*.f64 (/.f64 1/3 (neg.f64 y)) (neg.f64 x))
(.f64 (.f64 (/.f64 1/3 y) 1) x)
(.f64 (.f64 (/.f64 1/3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (/.f64 1/3 y) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 1/3 (/.f64 x y)) 1)
(pow.f64 (pow.f64 (*.f64 1/3 (/.f64 x y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 x y))) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))) 2)
(pow.f64 (*.f64 (/.f64 y x) 3) -1)
(sqrt.f64 (/.f64 1/9 (pow.f64 (/.f64 y x) 2)))
(log.f64 (pow.f64 (exp.f64 1/3) (/.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 1/3 (/.f64 x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 1/3 (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 1/3 (/.f64 x y))))

Outputs
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(-.f64 (+.f64 1 (*.f64 1/3 (/.f64 x y))) 1)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(.f64 (.f64 1/3 (/.f64 x y)) 1)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(.f64 1 (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 x y))) 2))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (/.f64 x y))) 2) (cbrt.f64 (*.f64 1/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(.f64 (sqrt.f64 (.f64 1/3 (/.f64 x y))) (sqrt.f64 (*.f64 1/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 -1/3 (/.f64 1 (/.f64 (neg.f64 y) x)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 1/3 (neg.f64 y)) (neg.f64 x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(.f64 (.f64 (/.f64 1/3 y) 1) x)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(.f64 (.f64 (/.f64 1/3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(.f64 (.f64 (/.f64 1/3 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(pow.f64 (*.f64 1/3 (/.f64 x y)) 1)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(pow.f64 (pow.f64 (*.f64 1/3 (/.f64 x y)) 3) 1/3)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 x y))) 3)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(pow.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))) 2)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(pow.f64 (*.f64 (/.f64 y x) 3) -1)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(sqrt.f64 (/.f64 1/9 (pow.f64 (/.f64 y x) 2)))
(fabs.f64 (/.f64 x (/.f64 y 1/3)))
(log.f64 (pow.f64 (exp.f64 1/3) (/.f64 x y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(cbrt.f64 (pow.f64 (*.f64 1/3 (/.f64 x y)) 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(log1p.f64 (expm1.f64 (*.f64 1/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))
(exp.f64 (log.f64 (*.f64 1/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 x (/.f64 y 1/3))

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series4.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

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

rewrite63.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

673×	`pow1_binary64`
627×	`add-log-exp_binary64`
627×	`log1p-expm1-u_binary64`
627×	`expm1-log1p-u_binary64`
615×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	127	11
2	1655	11

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify59.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

692×	`associate-/l*_binary64`
601×	`unswap-sqr_binary64`
503×	`associate-*l/_binary64`
443×	`times-frac_binary64`
383×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	636
1	308	636
2	1289	636

Stop Event

1×	node limit

Counts

88 → 58

Calls

Call 1

Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
(pow.f64 (*.f64 x 1/3) 1)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(sqrt.f64 (pow.f64 (*.f64 x 1/3) 2))
(log.f64 (exp.f64 (*.f64 x 1/3)))
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(exp.f64 (log.f64 (*.f64 x 1/3)))
(-.f64 (+.f64 1 (*.f64 1/3 (/.f64 x y))) 1)
(.f64 x (/.f64 1 (.f64 y 3)))
(.f64 x (.f64 1/3 (pow.f64 y -1)))
(*.f64 1/3 (/.f64 x y))
(.f64 1/3 (.f64 x (pow.f64 y -1)))
(.f64 (.f64 x 1/3) (pow.f64 y -1))
(.f64 (.f64 1/3 (/.f64 x y)) 1)
(.f64 1 (.f64 1/3 (/.f64 x y)))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 x y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (/.f64 x y))) 2) (cbrt.f64 (*.f64 1/3 (/.f64 x y))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (.f64 (cbrt.f64 (.f64 x 1/3)) (pow.f64 y -1)))
(.f64 (sqrt.f64 (.f64 1/3 (/.f64 x y))) (sqrt.f64 (*.f64 1/3 (/.f64 x y))))
(.f64 (sqrt.f64 (.f64 x 1/3)) (.f64 (sqrt.f64 (.f64 x 1/3)) (pow.f64 y -1)))
(.f64 (.f64 x -1/3) (/.f64 1 (neg.f64 y)))
(.f64 (pow.f64 y -1) (.f64 x 1/3))
(*.f64 (/.f64 x 1) (/.f64 1/3 y))
(*.f64 (/.f64 x y) 1/3)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 1/3)) y))
(.f64 (/.f64 (sqrt.f64 (.f64 x 1/3)) 1) (/.f64 (sqrt.f64 (*.f64 x 1/3)) y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/3 (cbrt.f64 y)))
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (.f64 x 1/3) (cbrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 1/3 (/.f64 x y))))
(.f64 (/.f64 (sqrt.f64 (.f64 x 1/3)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 x 1/3)) (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/3 (sqrt.f64 y)))
(*.f64 (/.f64 1/3 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (.f64 x 1/3) (sqrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x 1/3)) (sqrt.f64 y)))
(pow.f64 (*.f64 1/3 (/.f64 x y)) 1)
(pow.f64 (pow.f64 (*.f64 1/3 (/.f64 x y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 x y))) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))) 2)
(pow.f64 (*.f64 3 (/.f64 y x)) -1)
(neg.f64 (/.f64 (*.f64 x 1/3) (neg.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 1/3 (/.f64 x y)) 2))
(log.f64 (exp.f64 (*.f64 1/3 (/.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 1/3 (/.f64 x y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x 1/3) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 1/3 (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 1/3 (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 1/3 (/.f64 x y))))

Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
(*.f64 1/3 x)
(pow.f64 (*.f64 x 1/3) 1)
(*.f64 1/3 x)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(*.f64 1/3 x)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(*.f64 1/3 x)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(*.f64 1/3 x)
(sqrt.f64 (pow.f64 (*.f64 x 1/3) 2))
(*.f64 1/3 x)
(log.f64 (exp.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(*.f64 1/3 x)
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(exp.f64 (log.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(-.f64 (+.f64 1 (*.f64 1/3 (/.f64 x y))) 1)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 x (/.f64 1 (.f64 y 3)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 x (.f64 1/3 (pow.f64 y -1)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 1/3 (.f64 x (pow.f64 y -1)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 x 1/3) (pow.f64 y -1))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 1/3 (/.f64 x y)) 1)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 1 (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 x y))) 2))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (/.f64 x y))) 2) (cbrt.f64 (*.f64 1/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (.f64 (cbrt.f64 (.f64 x 1/3)) (pow.f64 y -1)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (sqrt.f64 (.f64 1/3 (/.f64 x y))) (sqrt.f64 (*.f64 1/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (sqrt.f64 (.f64 x 1/3)) (.f64 (sqrt.f64 (.f64 x 1/3)) (pow.f64 y -1)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 x -1/3) (/.f64 1 (neg.f64 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (pow.f64 y -1) (.f64 x 1/3))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 x 1) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 1/3)) y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 (sqrt.f64 (.f64 x 1/3)) 1) (/.f64 (sqrt.f64 (*.f64 x 1/3)) y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/3 (cbrt.f64 y)))
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/3 (cbrt.f64 y)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (.f64 x 1/3) (cbrt.f64 y)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/3 (cbrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 1/3 (/.f64 x y))))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 1/3 x)) 2) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (.f64 x (/.f64 1/3 y)))))
(.f64 (cbrt.f64 (.f64 x (/.f64 1/3 y))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (pow.f64 (cbrt.f64 y) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 x 1/3)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 x 1/3)) (cbrt.f64 y)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/3 (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/3 (sqrt.f64 y)))
(/.f64 (/.f64 1/3 (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 1/3 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/3 (sqrt.f64 y)))
(/.f64 (/.f64 1/3 (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x))
(.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (.f64 x 1/3) (sqrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/3 (sqrt.f64 y)))
(/.f64 (/.f64 1/3 (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x 1/3)) (sqrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/3 (sqrt.f64 y)))
(/.f64 (/.f64 1/3 (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x))
(pow.f64 (*.f64 1/3 (/.f64 x y)) 1)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(pow.f64 (pow.f64 (*.f64 1/3 (/.f64 x y)) 3) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 x y))) 3)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(pow.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))) 2)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(pow.f64 (*.f64 3 (/.f64 y x)) -1)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(neg.f64 (/.f64 (*.f64 x 1/3) (neg.f64 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(sqrt.f64 (pow.f64 (*.f64 1/3 (/.f64 x y)) 2))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(log.f64 (exp.f64 (*.f64 1/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(cbrt.f64 (pow.f64 (*.f64 1/3 (/.f64 x y)) 3))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x 1/3) 3) (pow.f64 y 3)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(expm1.f64 (log1p.f64 (*.f64 1/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(log1p.f64 (expm1.f64 (*.f64 1/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(exp.f64 (log.f64 (*.f64 1/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 1 y) (/.f64 3 x))

Compiler

Compiled 19 to 13 computations (31.6% saved)

series18.0ms (0.7%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	x	@	inf	(/.f64 (/.f64 1 y) (/.f64 3 x))
0.0ms	y	@	0	(/.f64 (/.f64 1 y) (/.f64 3 x))
0.0ms	x	@	-inf	(/.f64 (/.f64 1 y) (/.f64 3 x))
0.0ms	y	@	inf	(/.f64 (/.f64 1 y) (/.f64 3 x))
0.0ms	y	@	-inf	(/.f64 (/.f64 1 y) (/.f64 3 x))

rewrite43.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`pow1_binary64`
808×	`add-log-exp_binary64`
808×	`log1p-expm1-u_binary64`
808×	`expm1-log1p-u_binary64`
791×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	175	7
2	2288	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify62.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

734×	`log-prod_binary64`
516×	`log-div_binary64`
464×	`fma-def_binary64`
435×	`associate-/l*_binary64`
367×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	592
1	319	574
2	1238	571
3	5524	555

Stop Event

1×	node limit

Counts

65 → 56

Calls

Call 1

Inputs
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(-.f64 (+.f64 1 (/.f64 (*.f64 x 1/3) y)) 1)
(.f64 1 (/.f64 (.f64 x 1/3) y))
(.f64 (/.f64 1 y) (.f64 x 1/3))
(.f64 x (.f64 (/.f64 1 y) 1/3))
(.f64 (/.f64 (.f64 x 1/3) y) 1)
(.f64 (cbrt.f64 (/.f64 (.f64 x 1/3) y)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x 1/3) y)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 x 1/3) y)) 2) (cbrt.f64 (/.f64 (*.f64 x 1/3) y)))
(.f64 (cbrt.f64 (pow.f64 y -2)) (.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 x 1/3)))
(.f64 (sqrt.f64 (/.f64 (.f64 x 1/3) y)) (sqrt.f64 (/.f64 (*.f64 x 1/3) y)))
(.f64 (pow.f64 y -1/2) (.f64 (pow.f64 y -1/2) (*.f64 x 1/3)))
(*.f64 (/.f64 -1 y) (/.f64 1 (/.f64 -3 x)))
(.f64 (.f64 x 1/3) (/.f64 1 y))
(.f64 (.f64 (/.f64 1 y) 1/3) x)
(*.f64 1/3 (/.f64 (/.f64 1 y) (/.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 3 x)))
(*.f64 (/.f64 (pow.f64 y -1/2) 1) (/.f64 (pow.f64 y -1/2) (/.f64 3 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) 3) (/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 y -1/2) 3) (/.f64 (pow.f64 y -1/2) (/.f64 1 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2)) (/.f64 (/.f64 1 y) (cbrt.f64 (/.f64 3 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (cbrt.f64 (/.f64 3 x)) 2)) (cbrt.f64 (/.f64 (.f64 x 1/3) y)))
(*.f64 (/.f64 (pow.f64 y -1/2) (pow.f64 (cbrt.f64 (/.f64 3 x)) 2)) (/.f64 (pow.f64 y -1/2) (cbrt.f64 (/.f64 3 x))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 3 x))) (/.f64 (/.f64 1 y) (sqrt.f64 (/.f64 3 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (sqrt.f64 (/.f64 3 x))) (/.f64 (/.f64 1 (cbrt.f64 y)) (sqrt.f64 (/.f64 3 x))))
(.f64 (/.f64 (/.f64 1 y) 1) (.f64 x 1/3))
(*.f64 (/.f64 (/.f64 1 y) -3) (neg.f64 x))
(.f64 (.f64 (*.f64 (/.f64 1 y) 1/3) 1) x)
(.f64 (.f64 (*.f64 (/.f64 1 y) 1/3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (*.f64 (/.f64 1 y) 1/3) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 (*.f64 x 1/3) y) 1)
(pow.f64 (pow.f64 (/.f64 (*.f64 x 1/3) y) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x 1/3) y)) 3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x 1/3) y)) 2)
(pow.f64 (*.f64 y (/.f64 3 x)) -1)
(neg.f64 (/.f64 (/.f64 1 y) (/.f64 -3 x)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x 1/3) y) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 x 1/3) y)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x 1/3) y) 3))
(cbrt.f64 (/.f64 (/.f64 (pow.f64 y -2) y) (pow.f64 (/.f64 3 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x 1/3) y)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x 1/3) y)))
(exp.f64 (log.f64 (/.f64 (*.f64 x 1/3) y)))

Outputs
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(-.f64 (+.f64 1 (/.f64 (*.f64 x 1/3) y)) 1)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 1 (/.f64 (.f64 x 1/3) y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 1 y) (.f64 x 1/3))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 x (.f64 (/.f64 1 y) 1/3))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 (.f64 x 1/3) y) 1)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (cbrt.f64 (/.f64 (.f64 x 1/3) y)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x 1/3) y)) 2))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 x 1/3) y)) 2) (cbrt.f64 (/.f64 (*.f64 x 1/3) y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (cbrt.f64 (pow.f64 y -2)) (.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 x 1/3)))
(.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 (.f64 1 (*.f64 1/3 x)) (cbrt.f64 y)))
(.f64 (cbrt.f64 (pow.f64 y -2)) (.f64 1/3 (/.f64 x (cbrt.f64 y))))
(.f64 1/3 (.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 x (cbrt.f64 y))))
(.f64 (sqrt.f64 (/.f64 (.f64 x 1/3) y)) (sqrt.f64 (/.f64 (*.f64 x 1/3) y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (pow.f64 y -1/2) (.f64 (pow.f64 y -1/2) (*.f64 x 1/3)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 -1 y) (/.f64 1 (/.f64 -3 x)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 x 1/3) (/.f64 1 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 (/.f64 1 y) 1/3) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 (/.f64 1 y) (/.f64 1 x)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 3 x)))
(.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 (.f64 1 (*.f64 1/3 x)) (cbrt.f64 y)))
(.f64 (cbrt.f64 (pow.f64 y -2)) (.f64 1/3 (/.f64 x (cbrt.f64 y))))
(.f64 1/3 (.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 x (cbrt.f64 y))))
(*.f64 (/.f64 (pow.f64 y -1/2) 1) (/.f64 (pow.f64 y -1/2) (/.f64 3 x)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) 3) (/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 1 x)))
(.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 (.f64 1 (*.f64 1/3 x)) (cbrt.f64 y)))
(.f64 (cbrt.f64 (pow.f64 y -2)) (.f64 1/3 (/.f64 x (cbrt.f64 y))))
(.f64 1/3 (.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 x (cbrt.f64 y))))
(*.f64 (/.f64 (pow.f64 y -1/2) 3) (/.f64 (pow.f64 y -1/2) (/.f64 1 x)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2)) (/.f64 (/.f64 1 y) (cbrt.f64 (/.f64 3 x))))
(/.f64 (/.f64 (/.f64 1 y) (cbrt.f64 (/.f64 3 x))) (pow.f64 (cbrt.f64 (/.f64 3 x)) 2))
(/.f64 (/.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (/.f64 3 x)) 2)) (cbrt.f64 (/.f64 3 x)))
(/.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (/.f64 3 x)) 3))
(.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (cbrt.f64 (/.f64 3 x)) 2)) (cbrt.f64 (/.f64 (.f64 x 1/3) y)))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 x y))) (/.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (cbrt.f64 (/.f64 3 x)) 2)))
(.f64 (cbrt.f64 (.f64 x (/.f64 1/3 y))) (/.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (cbrt.f64 (/.f64 3 x)) 2)))
(*.f64 (/.f64 (pow.f64 y -1/2) (pow.f64 (cbrt.f64 (/.f64 3 x)) 2)) (/.f64 (pow.f64 y -1/2) (cbrt.f64 (/.f64 3 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2)) (/.f64 (/.f64 1 y) (cbrt.f64 (/.f64 3 x))))
(/.f64 (/.f64 (/.f64 1 y) (cbrt.f64 (/.f64 3 x))) (pow.f64 (cbrt.f64 (/.f64 3 x)) 2))
(/.f64 (/.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (/.f64 3 x)) 2)) (cbrt.f64 (/.f64 3 x)))
(/.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (/.f64 3 x)) 3))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 3 x))) (/.f64 (/.f64 1 y) (sqrt.f64 (/.f64 3 x))))
(/.f64 (/.f64 1 (*.f64 y (sqrt.f64 (/.f64 3 x)))) (sqrt.f64 (/.f64 3 x)))
(/.f64 (/.f64 1 y) (*.f64 (sqrt.f64 (/.f64 3 x)) (sqrt.f64 (/.f64 3 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (sqrt.f64 (/.f64 3 x))) (/.f64 (/.f64 1 (cbrt.f64 y)) (sqrt.f64 (/.f64 3 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (sqrt.f64 (/.f64 3 x))) (/.f64 1 (.f64 (sqrt.f64 (/.f64 3 x)) (cbrt.f64 y))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (sqrt.f64 (/.f64 3 x))) (/.f64 1 (.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 3 x)))))
(/.f64 (cbrt.f64 (pow.f64 y -2)) (.f64 (sqrt.f64 (/.f64 3 x)) (.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 3 x)))))
(.f64 (/.f64 (/.f64 1 y) 1) (.f64 x 1/3))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 (/.f64 1 y) -3) (neg.f64 x))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 (*.f64 (/.f64 1 y) 1/3) 1) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 (*.f64 (/.f64 1 y) 1/3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 (*.f64 (/.f64 1 y) 1/3) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(pow.f64 (/.f64 (*.f64 x 1/3) y) 1)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(pow.f64 (pow.f64 (/.f64 (*.f64 x 1/3) y) 3) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x 1/3) y)) 3)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x 1/3) y)) 2)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(pow.f64 (*.f64 y (/.f64 3 x)) -1)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(neg.f64 (/.f64 (/.f64 1 y) (/.f64 -3 x)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x 1/3) y) 2))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(log.f64 (exp.f64 (/.f64 (*.f64 x 1/3) y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x 1/3) y) 3))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(cbrt.f64 (/.f64 (/.f64 (pow.f64 y -2) y) (pow.f64 (/.f64 3 x) 3)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x 1/3) y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x 1/3) y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(exp.f64 (log.f64 (/.f64 (*.f64 x 1/3) y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (/.f64 x y) 3)

Compiler

Compiled 13 to 6 computations (53.8% saved)

series1.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite41.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`pow1_binary64`
670×	`add-log-exp_binary64`
670×	`log1p-expm1-u_binary64`
670×	`expm1-log1p-u_binary64`
658×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	135	7
2	1786	7

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

Inputs
(/.f64 (/.f64 x y) 3)

Outputs

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

simplify37.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

650×	`log-prod_binary64`
557×	`associate-l_binary64`
501×	`associate-r_binary64`
333×	`distribute-rgt-in_binary64`
319×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	360
1	175	360
2	547	360
3	3783	360

Stop Event

1×	node limit

Counts

51 → 30

Calls

Call 1

Inputs
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(-.f64 (+.f64 1 (*.f64 (/.f64 x y) 1/3)) 1)
(.f64 x (/.f64 1 (.f64 y 3)))
(.f64 x (.f64 (/.f64 1 y) 1/3))
(*.f64 (/.f64 x y) 1/3)
(.f64 (.f64 (/.f64 x y) 1/3) 1)
(.f64 1 (.f64 (/.f64 x y) 1/3))
(.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)) (cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/9)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x y) 2) 1/9)) (cbrt.f64 (*.f64 (/.f64 x y) 1/3)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (.f64 (cbrt.f64 (/.f64 x y)) 1/3))
(.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/3)) (sqrt.f64 (*.f64 (/.f64 x y) 1/3)))
(.f64 (sqrt.f64 (/.f64 x y)) (.f64 (sqrt.f64 (/.f64 x y)) 1/3))
(*.f64 (/.f64 (neg.f64 x) y) -1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 3) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) 3) (/.f64 (sqrt.f64 x) y))
(pow.f64 (*.f64 (/.f64 x y) 1/3) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 2)
(pow.f64 (*.f64 3 (/.f64 y x)) -1)
(neg.f64 (/.f64 (/.f64 x y) -3))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/9))
(log.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) 1/3)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) 1/3)))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) 1/3)))

Outputs
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(-.f64 (+.f64 1 (*.f64 (/.f64 x y) 1/3)) 1)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(.f64 x (/.f64 1 (.f64 y 3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(.f64 x (.f64 (/.f64 1 y) 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(.f64 (.f64 (/.f64 x y) 1/3) 1)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(.f64 1 (.f64 (/.f64 x y) 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)) (cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/9)))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x y) 2) 1/9)) (cbrt.f64 (*.f64 (/.f64 x y) 1/3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (.f64 (cbrt.f64 (/.f64 x y)) 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/3)) (sqrt.f64 (*.f64 (/.f64 x y) 1/3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(.f64 (sqrt.f64 (/.f64 x y)) (.f64 (sqrt.f64 (/.f64 x y)) 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 (/.f64 (neg.f64 x) y) -1/3)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 3) (/.f64 (cbrt.f64 x) y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(*.f64 (/.f64 (sqrt.f64 x) 3) (/.f64 (sqrt.f64 x) y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(pow.f64 (*.f64 (/.f64 x y) 1/3) 1)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3) 1/3)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) 3)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 2)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(pow.f64 (*.f64 3 (/.f64 y x)) -1)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(neg.f64 (/.f64 (/.f64 x y) -3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/9))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(log.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) 1/3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) 1/3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) 1/3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (/.f64 x 3) y)
(/.f64 x (*.f64 y 3))

eval38.0ms (1.4%)

Compiler: Compiled 1663 to 1104 computations (33.6% saved)

prune21.0ms (0.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	0	0	0
Picked	0	1	1
Done	3	3	6
Total	175	5	180

Error

Counts

180 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(/.f64 (/.f64 x y) 3)
▶	0.2b	(/.f64 (/.f64 x 3) y)
✓	0.3b	(/.f64 (/.f64 1 y) (/.f64 3 x))
✓	0.3b	(/.f64 x (*.f64 y 3))
✓	0.5b	(/.f64 1/3 (/.f64 y x))

Compiler

Compiled 37 to 27 computations (27% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 x 3) y)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite41.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

728×	`pow1_binary64`
683×	`add-log-exp_binary64`
683×	`log1p-expm1-u_binary64`
683×	`expm1-log1p-u_binary64`
671×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	135	7
2	1809	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(/.f64 (/.f64 x 3) y)

Outputs

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

simplify44.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

715×	`log-div_binary64`
611×	`log-prod_binary64`
452×	`associate-/l*_binary64`
403×	`associate-*l/_binary64`
361×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	506
1	276	506
2	1013	506
3	5411	491

Stop Event

1×	node limit

Counts

62 → 43

Calls

Call 1

Inputs
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(-.f64 (+.f64 1 (/.f64 x (/.f64 y 1/3))) 1)
(.f64 x (/.f64 1 (.f64 3 y)))
(.f64 x (.f64 1/3 (pow.f64 y -1)))
(.f64 (.f64 x 1/3) (pow.f64 y -1))
(*.f64 (/.f64 x (/.f64 y 1/3)) 1)
(*.f64 1 (/.f64 x (/.f64 y 1/3)))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 y 1/3))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y 1/3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y 1/3))) 2) (cbrt.f64 (/.f64 x (/.f64 y 1/3))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (.f64 (cbrt.f64 (.f64 x 1/3)) (pow.f64 y -1)))
(*.f64 (sqrt.f64 (/.f64 x (/.f64 y 1/3))) (sqrt.f64 (/.f64 x (/.f64 y 1/3))))
(.f64 (sqrt.f64 (.f64 x 1/3)) (.f64 (sqrt.f64 (.f64 x 1/3)) (pow.f64 y -1)))
(.f64 (.f64 x -1/3) (/.f64 1 (neg.f64 y)))
(.f64 (pow.f64 y -1) (.f64 x 1/3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) 3))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 3))
(*.f64 (/.f64 x 1) (/.f64 1/3 y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 1/3)) y))
(.f64 (/.f64 (sqrt.f64 (.f64 x 1/3)) 1) (/.f64 (sqrt.f64 (*.f64 x 1/3)) y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/3 (cbrt.f64 y)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (.f64 x 1/3) (cbrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 x (/.f64 y 1/3))))
(.f64 (/.f64 (sqrt.f64 (.f64 x 1/3)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 x 1/3)) (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/3 (sqrt.f64 y)))
(.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (.f64 x 1/3) (sqrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x 1/3)) (sqrt.f64 y)))
(pow.f64 (/.f64 x (/.f64 y 1/3)) 1)
(pow.f64 (pow.f64 (/.f64 x (/.f64 y 1/3)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 y 1/3))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 y 1/3))) 2)
(pow.f64 (*.f64 y (/.f64 3 x)) -1)
(neg.f64 (/.f64 (*.f64 x 1/3) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 y 1/3)) 2))
(log.f64 (exp.f64 (/.f64 x (/.f64 y 1/3))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 y 1/3)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x 1/3) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 y 1/3))))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 y 1/3))))
(exp.f64 (log.f64 (/.f64 x (/.f64 y 1/3))))

Outputs
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(-.f64 (+.f64 1 (/.f64 x (/.f64 y 1/3))) 1)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(.f64 x (/.f64 1 (.f64 3 y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(.f64 x (.f64 1/3 (pow.f64 y -1)))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(.f64 (.f64 x 1/3) (pow.f64 y -1))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 (/.f64 x (/.f64 y 1/3)) 1)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 1 (/.f64 x (/.f64 y 1/3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 (cbrt.f64 (/.f64 x (/.f64 y 1/3))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y 1/3))) 2))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y 1/3))) 2) (cbrt.f64 (/.f64 x (/.f64 y 1/3))))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (.f64 (cbrt.f64 (.f64 x 1/3)) (pow.f64 y -1)))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 (sqrt.f64 (/.f64 x (/.f64 y 1/3))) (sqrt.f64 (/.f64 x (/.f64 y 1/3))))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(.f64 (sqrt.f64 (.f64 x 1/3)) (.f64 (sqrt.f64 (.f64 x 1/3)) (pow.f64 y -1)))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(.f64 (.f64 x -1/3) (/.f64 1 (neg.f64 y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(.f64 (pow.f64 y -1) (.f64 x 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 (/.f64 x 1) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 1/3)) y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(.f64 (/.f64 (sqrt.f64 (.f64 x 1/3)) 1) (/.f64 (sqrt.f64 (*.f64 x 1/3)) y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/3 (cbrt.f64 y)))
(/.f64 (/.f64 x 3) (pow.f64 (cbrt.f64 y) 3))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (.f64 x 1/3) (cbrt.f64 y)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/3 (cbrt.f64 y)))
(/.f64 (/.f64 x 3) (pow.f64 (cbrt.f64 y) 3))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 x (/.f64 y 1/3))))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x 3)) 2) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (/.f64 (/.f64 x 3) y))))
(.f64 (/.f64 (sqrt.f64 (.f64 x 1/3)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 x 1/3)) (cbrt.f64 y)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/3 (cbrt.f64 y)))
(/.f64 (/.f64 x 3) (pow.f64 (cbrt.f64 y) 3))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/3 (sqrt.f64 y)))
(.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (.f64 x 1/3) (sqrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/3 (sqrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x 1/3)) (sqrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/3 (sqrt.f64 y)))
(pow.f64 (/.f64 x (/.f64 y 1/3)) 1)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(pow.f64 (pow.f64 (/.f64 x (/.f64 y 1/3)) 3) 1/3)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 y 1/3))) 3)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 y 1/3))) 2)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(pow.f64 (*.f64 y (/.f64 3 x)) -1)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(neg.f64 (/.f64 (*.f64 x 1/3) (neg.f64 y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 y 1/3)) 2))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(log.f64 (exp.f64 (/.f64 x (/.f64 y 1/3))))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 y 1/3)) 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x 1/3) 3) (pow.f64 y 3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 y 1/3))))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 y 1/3))))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(exp.f64 (log.f64 (/.f64 x (/.f64 y 1/3))))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)

eval10.0ms (0.4%)

Compiler: Compiled 437 to 307 computations (29.7% saved)

prune7.0ms (0.3%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	43	5	48

Error

Counts

48 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(/.f64 (/.f64 x y) 3)
✓	0.2b	(/.f64 (/.f64 x 3) y)
✓	0.3b	(/.f64 (/.f64 1 y) (/.f64 3 x))
✓	0.3b	(/.f64 x (*.f64 y 3))
✓	0.5b	(/.f64 1/3 (/.f64 y x))

Compiler

Compiled 37 to 27 computations (27% saved)

regimes43.0ms (1.6%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	x
8.0ms	(*.f64 y 3)
8.0ms	(*.f64 y 3)
8.0ms	y
7.0ms	(/.f64 x (*.f64 y 3))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`(/.f64 x (*.f64 y 3))`
0.2b	1	`(*.f64 y 3)`
0.2b	1	`(*.f64 y 3)`

Compiler

Compiled 116 to 78 computations (32.8% saved)

regimes21.0ms (0.8%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(/.f64 x (*.f64 y 3))
5.0ms	x
4.0ms	(*.f64 y 3)
4.0ms	y

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`
0.3b	1	`(/.f64 x (*.f64 y 3))`
0.3b	1	`(*.f64 y 3)`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes8.0ms (0.3%)

Accuracy

Total -0.7b remaining (-215.7%)

Threshold costs -0.7b (-215.7%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
3.0ms	y

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	13	21

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

soundness79.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

650×	`log-prod_binary64`
557×	`associate-l_binary64`
501×	`associate-r_binary64`
333×	`distribute-rgt-in_binary64`
319×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	360
1	175	360
2	547	360
3	3783	360

Stop Event

1×	node limit

Compiler

Compiled 46 to 34 computations (26.1% saved)

end20.0ms (0.7%)

Compiler: Compiled 17 to 11 computations (35.3% saved)

Details

analyze44.0ms (1.6%)

sample882.0ms (32%)

preprocess15.0ms (0.5%)

simplify6.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize190.0ms (6.9%)

series4.0ms (0.1%)

rewrite40.0ms (1.5%)

simplify40.0ms (1.4%)

eval10.0ms (0.4%)

prune27.0ms (1%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite42.0ms (1.5%)

simplify39.0ms (1.4%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite39.0ms (1.4%)

simplify67.0ms (2.4%)

localize8.0ms (0.3%)

series2.0ms (0.1%)

rewrite50.0ms (1.8%)

simplify44.0ms (1.6%)

localize7.0ms (0.3%)

series8.0ms (0.3%)

rewrite47.0ms (1.7%)

simplify54.0ms (1.9%)

localize12.0ms (0.4%)

series29.0ms (1%)

rewrite52.0ms (1.9%)

simplify57.0ms (2.1%)

eval85.0ms (3.1%)

prune58.0ms (2.1%)

localize5.0ms (0.2%)

series1.0ms (0.1%)

rewrite42.0ms (1.5%)

simplify45.0ms (1.6%)

localize5.0ms (0.2%)

series4.0ms (0.2%)

rewrite63.0ms (2.3%)

simplify59.0ms (2.1%)

localize7.0ms (0.3%)

series18.0ms (0.7%)

rewrite43.0ms (1.6%)

simplify62.0ms (2.2%)

localize6.0ms (0.2%)

series1.0ms (0.1%)

rewrite41.0ms (1.5%)

simplify37.0ms (1.3%)

eval38.0ms (1.4%)

prune21.0ms (0.8%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite41.0ms (1.5%)

simplify44.0ms (1.6%)

eval10.0ms (0.4%)

prune7.0ms (0.3%)

regimes43.0ms (1.6%)

regimes21.0ms (0.8%)

regimes8.0ms (0.3%)

simplify3.0ms (0.1%)

soundness79.0ms (2.9%)

end20.0ms (0.7%)

Profiling