Details

analyze69.0ms (2.1%)

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)

sample942.0ms (28.6%)

Results

881.0ms	8256×	body	256	valid
49.0ms	397×	body	256	infinite

Bogosity

preprocess19.0ms (0.6%)

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)

simplify7.0ms (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

0.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(/.f64 x (*.f64 y 3))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.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))
0.0ms	x	@	-inf	(/.f64 x (*.f64 y 3))

rewrite44.0ms (1.3%)

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)))))))

simplify41.0ms (1.2%)

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))

eval9.0ms (0.3%)

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

prune333.0ms (10.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	37	8	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	9	46

Error

Counts

46 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(pow.f64 (*.f64 3 (/.f64 y x)) -1)
▶	25.2b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 2)
	30.3b	(/.f64 (/.f64 x (sqrt.f64 (.f64 y 3))) (sqrt.f64 (.f64 y 3)))
✓	0.2b	(/.f64 x (*.f64 y 3))
▶	1.3b	(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (cbrt.f64 (*.f64 (/.f64 x y) 1/3)))
	0.4b	(*.f64 (/.f64 x y) 1/3)
▶	0.3b	(*.f64 (/.f64 1 y) (/.f64 x 3))
▶	0.3b	(*.f64 (/.f64 1/3 y) x)
	29.9b	(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3))

Compiler

Compiled 177 to 137 computations (22.6% saved)

localize7.0ms (0.2%)

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)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite140.0ms (4.2%)

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)))))))

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)))))))

simplify43.0ms (1.3%)

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))

localize5.0ms (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	@	-inf	(*.f64 (/.f64 1/3 y) x)
0.0ms	x	@	inf	(*.f64 (/.f64 1/3 y) x)

rewrite75.0ms (2.3%)

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))))))))

simplify41.0ms (1.3%)

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))

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 3 (/.f64 y x))
✓	0.8b	(pow.f64 (*.f64 3 (/.f64 y x)) -1)

Compiler

Compiled 21 to 11 computations (47.6% saved)

series9.0ms (0.3%)

Counts

2 → 24

Calls

12 calls:

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

rewrite49.0ms (1.5%)

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))))))))

simplify46.0ms (1.4%)

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))

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 2)
✓	0.4b	(*.f64 (/.f64 x y) 1/3)
✓	7.1b	(sqrt.f64 (*.f64 (/.f64 x y) 1/3))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series15.0ms (0.4%)

Counts

3 → 24

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(sqrt.f64 (*.f64 (/.f64 x y) 1/3))
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 2)
1.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 2)
1.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 2)

rewrite87.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

808×	`pow1_binary64`
753×	`add-log-exp_binary64`
753×	`log1p-expm1-u_binary64`
753×	`expm1-log1p-u_binary64`
737×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	193	23
2	2061	23

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))) (cbrt.f64 (*.f64 (/.f64 x y) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 1/4) (pow.f64 (*.f64 (/.f64 x y) 1/3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 (/.f64 x y) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (/.f64 x y) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 (/.f64 x y) 2))) 1/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) 1/3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.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) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))))))))

((#(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 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (pow.f64 (/.f64 x y) 2)) 1/2)))) (#(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 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)))))))

((#(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 (/.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 x y) (pow.f64 (sqrt.f64 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1/3) 1)))) (#(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 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 1/9 (pow.f64 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) (*.f64 (cbrt.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 (cbrt.f64 (*.f64 1/9 (pow.f64 (/.f64 x y) 2))) (cbrt.f64 (*.f64 (/.f64 x y) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (*.f64 (cbrt.f64 (/.f64 x y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 1/4) (*.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 1/4) (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 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 1/3) (sqrt.f64 (*.f64 (/.f64 x y) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/3) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) (pow.f64 (*.f64 (/.f64 x y) 1/3) 1/4)) (pow.f64 (*.f64 (/.f64 x y) 1/3) 1/4))))) (#(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 (pow.f64 (cbrt.f64 y) 2)) (/.f64 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 (cbrt.f64 (pow.f64 (/.f64 x y) 2))) (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) (cbrt.f64 (*.f64 (/.f64 x y) 1/3))) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) (sqrt.f64 (/.f64 x y))) (sqrt.f64 1/3))))) (#(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 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)))))))

simplify51.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

807×	`log-prod_binary64`
726×	`fma-def_binary64`
579×	`log-div_binary64`
387×	`times-frac_binary64`
386×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	1122
1	308	1064
2	1249	1013
3	5740	1013

Stop Event

1×	node limit

Counts

109 → 90

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 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))) 1)
(.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/3)) 1)
(.f64 1 (sqrt.f64 (.f64 (/.f64 x y) 1/3)))
(.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/3))) (cbrt.f64 (*.f64 (/.f64 x y) 1/3)))
(*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 x y)))
(.f64 (pow.f64 (.f64 (/.f64 x y) 1/3) 1/4) (pow.f64 (*.f64 (/.f64 x y) 1/3) 1/4))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 1/3))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (/.f64 x y) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (/.f64 x y) 1/3)))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (/.f64 x y) 2))) 1/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) 1/2))
(/.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 y))
(pow.f64 (*.f64 (/.f64 x y) 1/3) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))))
(-.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 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 2)
(pow.f64 (*.f64 1/9 (pow.f64 (/.f64 x y) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) 3)
(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)))
(-.f64 (+.f64 1 (*.f64 (/.f64 x y) 1/3)) 1)
(.f64 x (.f64 (/.f64 1 y) 1/3))
(*.f64 (/.f64 x y) 1/3)
(*.f64 (/.f64 x y) (pow.f64 (sqrt.f64 1/3) 2))
(*.f64 1/3 (/.f64 x y))
(.f64 (.f64 (/.f64 x y) 1/3) 1)
(.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/3)) (sqrt.f64 (*.f64 (/.f64 x y) 1/3)))
(.f64 1 (.f64 (/.f64 x y) 1/3))
(.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)) (cbrt.f64 (*.f64 1/9 (pow.f64 (/.f64 x y) 2))))
(.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/3))) (sqrt.f64 (*.f64 (/.f64 x y) 1/3))))
(.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (/.f64 x y) 2))) (cbrt.f64 (*.f64 (/.f64 x y) 1/3)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (.f64 (cbrt.f64 (/.f64 x y)) 1/3))
(.f64 (pow.f64 (.f64 (/.f64 x y) 1/3) 1/4) (.f64 (pow.f64 (.f64 (/.f64 x y) 1/3) 1/4) (sqrt.f64 (*.f64 (/.f64 x y) 1/3))))
(.f64 (sqrt.f64 (/.f64 x y)) (.f64 (sqrt.f64 (/.f64 x y)) 1/3))
(.f64 (sqrt.f64 (/.f64 x y)) (.f64 (sqrt.f64 1/3) (sqrt.f64 (*.f64 (/.f64 x y) 1/3))))
(.f64 (.f64 x 1/3) (/.f64 1 y))
(.f64 (.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/3)) (pow.f64 (.f64 (/.f64 x y) 1/3) 1/4)) (pow.f64 (*.f64 (/.f64 x y) 1/3) 1/4))
(*.f64 (/.f64 x 1) (/.f64 1/3 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 (cbrt.f64 (pow.f64 (/.f64 x y) 2))) (cbrt.f64 (/.f64 x y)))
(.f64 (.f64 1/3 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(.f64 (.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/3)) (cbrt.f64 (.f64 (/.f64 x y) 1/3))) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))))
(.f64 (.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) (sqrt.f64 (/.f64 x y))) (sqrt.f64 1/3))
(/.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))
(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 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))) 1))
(+.f64 (sqrt.f64 (/.f64 1/3 (/.f64 y x))) 0)
(sqrt.f64 (/.f64 1/3 (/.f64 y x)))
(.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/3)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))) 1))
(+.f64 (sqrt.f64 (/.f64 1/3 (/.f64 y x))) 0)
(sqrt.f64 (/.f64 1/3 (/.f64 y x)))
(.f64 1 (sqrt.f64 (.f64 (/.f64 x y) 1/3)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))) 1))
(+.f64 (sqrt.f64 (/.f64 1/3 (/.f64 y x))) 0)
(sqrt.f64 (/.f64 1/3 (/.f64 y x)))
(.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 x y))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y)))))
(*.f64 (cbrt.f64 (/.f64 1/3 (/.f64 y x))) (cbrt.f64 (sqrt.f64 (/.f64 1/3 (/.f64 y x)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/3))) (cbrt.f64 (*.f64 (/.f64 x y) 1/3)))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 x y))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y)))))
(*.f64 (cbrt.f64 (/.f64 1/3 (/.f64 y x))) (cbrt.f64 (sqrt.f64 (/.f64 1/3 (/.f64 y x)))))
(*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 x y)))
(.f64 (pow.f64 (.f64 (/.f64 x y) 1/3) 1/4) (pow.f64 (*.f64 (/.f64 x y) 1/3) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))) 1))
(+.f64 (sqrt.f64 (/.f64 1/3 (/.f64 y x))) 0)
(sqrt.f64 (/.f64 1/3 (/.f64 y x)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 1/3))
(*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 x y)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (/.f64 x y) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (/.f64 x y) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (/.f64 x y)))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (/.f64 x y) 2)))) (sqrt.f64 (cbrt.f64 (/.f64 1/3 (/.f64 y x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1/3 (/.f64 y x)) 2))) (sqrt.f64 (cbrt.f64 (/.f64 1/3 (/.f64 y x)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (/.f64 x y) 1/3)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))) 1))
(+.f64 (sqrt.f64 (/.f64 1/3 (/.f64 y x))) 0)
(sqrt.f64 (/.f64 1/3 (/.f64 y x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (/.f64 x y) 2))) 1/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (/.f64 x y) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (/.f64 x y)))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (/.f64 x y) 2)))) (sqrt.f64 (cbrt.f64 (/.f64 1/3 (/.f64 y x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1/3 (/.f64 y x)) 2))) (sqrt.f64 (cbrt.f64 (/.f64 1/3 (/.f64 y x)))))
(/.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 y))
(/.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 y))
(/.f64 (sqrt.f64 (/.f64 x 3)) (sqrt.f64 y))
(pow.f64 (*.f64 (/.f64 x y) 1/3) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))) 1))
(+.f64 (sqrt.f64 (/.f64 1/3 (/.f64 y x))) 0)
(sqrt.f64 (/.f64 1/3 (/.f64 y x)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))) 1))
(+.f64 (sqrt.f64 (/.f64 1/3 (/.f64 y x))) 0)
(sqrt.f64 (/.f64 1/3 (/.f64 y x)))
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 1/3 (/.f64 x y)) 3/2))
(cbrt.f64 (pow.f64 (/.f64 1/3 (/.f64 y x)) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))) 1))
(+.f64 (sqrt.f64 (/.f64 1/3 (/.f64 y x))) 0)
(sqrt.f64 (/.f64 1/3 (/.f64 y x)))
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))) 1))
(+.f64 (sqrt.f64 (/.f64 1/3 (/.f64 y x))) 0)
(sqrt.f64 (/.f64 1/3 (/.f64 y x)))
(fabs.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))) 1))
(+.f64 (sqrt.f64 (/.f64 1/3 (/.f64 y x))) 0)
(sqrt.f64 (/.f64 1/3 (/.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))) 1))
(+.f64 (sqrt.f64 (/.f64 1/3 (/.f64 y x))) 0)
(sqrt.f64 (/.f64 1/3 (/.f64 y x)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3/2))
(cbrt.f64 (pow.f64 (*.f64 1/3 (/.f64 x y)) 3/2))
(cbrt.f64 (pow.f64 (/.f64 1/3 (/.f64 y x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))) 1))
(+.f64 (sqrt.f64 (/.f64 1/3 (/.f64 y x))) 0)
(sqrt.f64 (/.f64 1/3 (/.f64 y x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))) 1))
(+.f64 (sqrt.f64 (/.f64 1/3 (/.f64 y x))) 0)
(sqrt.f64 (/.f64 1/3 (/.f64 y x)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))) 1))
(+.f64 (sqrt.f64 (/.f64 1/3 (/.f64 y x))) 0)
(sqrt.f64 (/.f64 1/3 (/.f64 y x)))
(-.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 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1 (/.f64 y (*.f64 x 1/3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 (*.f64 x 1/3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 (neg.f64 (*.f64 x 1/3)) (neg.f64 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 (/.f64 (*.f64 x 1/3) 1) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.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 (/.f64 (*.f64 x 1/3) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 (*.f64 (neg.f64 x) 1/3) (neg.f64 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 (*.f64 1/3 (neg.f64 x)) (neg.f64 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(pow.f64 (*.f64 (/.f64 x y) 1/3) 1)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 2)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(pow.f64 (*.f64 1/9 (pow.f64 (/.f64 x y) 2)) 1/2)
(sqrt.f64 (*.f64 1/9 (pow.f64 (/.f64 x y) 2)))
(fabs.f64 (/.f64 1/3 (/.f64 y x)))
(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))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) 3)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(sqrt.f64 (*.f64 1/9 (pow.f64 (/.f64 x y) 2)))
(fabs.f64 (/.f64 1/3 (/.f64 y x)))
(log.f64 (pow.f64 (exp.f64 1/3) (/.f64 x y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) 1/3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) 1/3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) 1/3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(-.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 (/.f64 1 y) 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 (/.f64 x y) (pow.f64 (sqrt.f64 1/3) 2))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(.f64 (.f64 (/.f64 x y) 1/3) 1)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/3)) (sqrt.f64 (*.f64 (/.f64 x y) 1/3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(.f64 1 (.f64 (/.f64 x y) 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)) (cbrt.f64 (*.f64 1/9 (pow.f64 (/.f64 x y) 2))))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 x y))) (cbrt.f64 (*.f64 1/9 (pow.f64 (/.f64 x y) 2))))
(.f64 (cbrt.f64 (/.f64 1/3 (/.f64 y x))) (cbrt.f64 (.f64 1/9 (pow.f64 (/.f64 x y) 2))))
(*.f64 (cbrt.f64 (/.f64 1/3 (/.f64 y x))) (cbrt.f64 (pow.f64 (/.f64 1/3 (/.f64 y x)) 2)))
(.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/3))) (sqrt.f64 (*.f64 (/.f64 x y) 1/3))))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 x y))) (.f64 (sqrt.f64 (.f64 1/3 (/.f64 x y))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))))))
(*.f64 (cbrt.f64 (/.f64 1/3 (/.f64 y x))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/3 (/.f64 y x)))) 4))
(.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (/.f64 x y) 2))) (cbrt.f64 (*.f64 (/.f64 x y) 1/3)))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 x y))) (cbrt.f64 (*.f64 1/9 (pow.f64 (/.f64 x y) 2))))
(.f64 (cbrt.f64 (/.f64 1/3 (/.f64 y x))) (cbrt.f64 (.f64 1/9 (pow.f64 (/.f64 x y) 2))))
(*.f64 (cbrt.f64 (/.f64 1/3 (/.f64 y x))) (cbrt.f64 (pow.f64 (/.f64 1/3 (/.f64 y x)) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (.f64 (cbrt.f64 (/.f64 x y)) 1/3))
(.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (.f64 1/3 (cbrt.f64 (/.f64 x y))))
(.f64 1/3 (.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (cbrt.f64 (/.f64 x y))))
(.f64 (pow.f64 (.f64 (/.f64 x y) 1/3) 1/4) (.f64 (pow.f64 (.f64 (/.f64 x y) 1/3) 1/4) (sqrt.f64 (*.f64 (/.f64 x y) 1/3))))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(.f64 (sqrt.f64 (/.f64 x y)) (.f64 (sqrt.f64 (/.f64 x y)) 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(.f64 (sqrt.f64 (/.f64 x y)) (.f64 (sqrt.f64 1/3) (sqrt.f64 (*.f64 (/.f64 x y) 1/3))))
(.f64 (sqrt.f64 (/.f64 x y)) (.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))) (sqrt.f64 1/3)))
(.f64 (sqrt.f64 (/.f64 1/3 (/.f64 y x))) (.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 x y))))
(.f64 (.f64 x 1/3) (/.f64 1 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(.f64 (.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/3)) (pow.f64 (.f64 (/.f64 x y) 1/3) 1/4)) (pow.f64 (*.f64 (/.f64 x y) 1/3) 1/4))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 (/.f64 x 1) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/3 (cbrt.f64 y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/3 (sqrt.f64 y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(.f64 (.f64 1/3 (cbrt.f64 (pow.f64 (/.f64 x y) 2))) (cbrt.f64 (/.f64 x y)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (.f64 1/3 (cbrt.f64 (/.f64 x y))))
(.f64 1/3 (.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (cbrt.f64 (/.f64 x y))))
(.f64 (.f64 1/3 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(.f64 (.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/3)) (cbrt.f64 (.f64 (/.f64 x y) 1/3))) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 x y))) (.f64 (sqrt.f64 (.f64 1/3 (/.f64 x y))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))))))
(*.f64 (cbrt.f64 (/.f64 1/3 (/.f64 y x))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/3 (/.f64 y x)))) 4))
(.f64 (.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) (sqrt.f64 (/.f64 x y))) (sqrt.f64 1/3))
(.f64 (sqrt.f64 (/.f64 x y)) (.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))) (sqrt.f64 1/3)))
(.f64 (sqrt.f64 (/.f64 1/3 (/.f64 y x))) (.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 x y))))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1 (/.f64 y (*.f64 x 1/3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 (*.f64 x 1/3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 (neg.f64 (*.f64 x 1/3)) (neg.f64 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 (/.f64 (*.f64 x 1/3) 1) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.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 (/.f64 (*.f64 x 1/3) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 (*.f64 (neg.f64 x) 1/3) (neg.f64 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(/.f64 (*.f64 1/3 (neg.f64 x)) (neg.f64 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(sqrt.f64 (*.f64 1/9 (pow.f64 (/.f64 x y) 2)))
(fabs.f64 (/.f64 1/3 (/.f64 y x)))
(log.f64 (pow.f64 (exp.f64 1/3) (/.f64 x y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) 1/3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) 1/3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) 1/3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))

localize36.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)
✓	0.6b	(cbrt.f64 (*.f64 y 3))
✓	0.6b	(cbrt.f64 x)
✓	7.6b	(cbrt.f64 (*.f64 (/.f64 x y) 1/3))

Compiler

Compiled 69 to 44 computations (36.2% saved)

series24.0ms (0.7%)

Counts

4 → 0

Calls

15 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	(cbrt.f64 x)
1.0ms	x	@	0	(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
1.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)
1.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)
1.0ms	x	@	-inf	(cbrt.f64 (*.f64 (/.f64 x y) 1/3))

rewrite64.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

558×	`log-prod_binary64`
424×	`exp-prod_binary64`
307×	`pow-prod-down_binary64`
292×	`pow2_binary64`
220×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	27
1	265	27
2	2949	27

Stop Event

1×	node limit

Counts

4 → 142

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (.f64 (/.f64 x y) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 (/.f64 x y) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 1/3) (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))) 2) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (/.f64 x y) 1/3) 1/6) (pow.f64 (.f64 (/.f64 x y) 1/3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 x y) 1/3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 (.f64 (/.f64 x y) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/9 (pow.f64 (/.f64 x y) 2)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 x y) 1/3) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.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)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 x y) 1/3) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))))) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 x y) 1/3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/6 (log.f64 (.f64 (/.f64 x y) 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 x y) 1/3)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 x y) 1/3)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (sqrt.f64 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/6 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 x) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 x) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 y 3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 y 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 y 3))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 y 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 3) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 y) (cbrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (cbrt.f64 (cbrt.f64 (.f64 y 3))))))) (#(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 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 y 3) 4)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2))))))) (#(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 (pow.f64 (cbrt.f64 (.f64 y 3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 (.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 9 (.f64 y y)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y 3) 3) 1/9)))) (#(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 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y 3) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y 3)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 y 3)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (.f64 y 3))))) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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 exp.f64 (.f64 (log.f64 (.f64 y 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 (.f64 y 3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 y 3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y 3) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 y 3)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 y 3)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y 3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2/3 (log.f64 (*.f64 y 3))) 1) 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (.f64 y 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 y 3)) (cbrt.f64 (.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 (.f64 y 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 y) (.f64 (cbrt.f64 3) (cbrt.f64 (.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 9))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 y 3) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 y 3) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 y 3) 1/6) (sqrt.f64 (.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 y 3)) (pow.f64 (.f64 y 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y 3))) 5) (cbrt.f64 (cbrt.f64 (.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 y 3)) (cbrt.f64 y)) (cbrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (.f64 y 3) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 9 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2/3 (log.f64 (.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 (.f64 y 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y 3)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 9 (.f64 y y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (.f64 2/3 (log.f64 (.f64 y 3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 y 3)) 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 y 3)) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y 3))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2/3 (log.f64 (.f64 y 3))) 1) 1))))))

simplify61.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

468×	`exp-prod_binary64`
434×	`fma-def_binary64`
432×	`sqr-pow_binary64`
338×	`log-prod_binary64`
267×	`exp-sum_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	313	8589935915
1	629	1302
2	1629	1302
3	5155	1302

Stop Event

1×	node limit

Counts

142 → 164

Calls

Call 1

Inputs
(+.f64 0 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)))) 1)
(.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)) 1)
(.f64 1 (cbrt.f64 (.f64 (/.f64 x y) 1/3)))
(*.f64 (cbrt.f64 1/3) (cbrt.f64 (/.f64 x y)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3))))
(*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 1/3))
(.f64 (pow.f64 (.f64 (/.f64 x y) 1/3) 1/6) (pow.f64 (*.f64 (/.f64 x y) 1/3) 1/6))
(/.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 y))
(pow.f64 (*.f64 (/.f64 x y) 1/3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) 1)
(pow.f64 (exp.f64 1/3) (log.f64 (*.f64 (/.f64 x y) 1/3)))
(pow.f64 (*.f64 1/9 (pow.f64 (/.f64 x y) 2)) 1/6)
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3) 1/9)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3))) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 2/3)
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 1/6) 2)
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))))) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x y) 1/3)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (*.f64 (/.f64 x y) 1/3))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 x y) 1/3)) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 x y) 1/3)) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3))) 1) 1))
(+.f64 0 (cbrt.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)
(*.f64 (cbrt.f64 x) 1)
(*.f64 1 (cbrt.f64 x))
(.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (.f64 x x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(pow.f64 x 1/3)
(pow.f64 (cbrt.f64 x) 1)
(pow.f64 (exp.f64 1/3) (log.f64 x))
(pow.f64 (cbrt.f64 (*.f64 x x)) 1/2)
(pow.f64 (*.f64 x x) 1/6)
(pow.f64 (pow.f64 x 3) 1/9)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(pow.f64 (pow.f64 x 1/6) 2)
(pow.f64 (sqrt.f64 x) 2/3)
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (sqrt.f64 (log.f64 (cbrt.f64 x))))
(sqrt.f64 (cbrt.f64 (*.f64 x x)))
(log.f64 (exp.f64 (cbrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 x)) 2))
(exp.f64 (.f64 (.f64 (log.f64 x) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 x) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 x)) 1) 1))
(+.f64 0 (cbrt.f64 (*.f64 y 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 y 3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 y 3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 y 3))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 y 3))))))
(-.f64 (exp.f64 (log1p.f64 (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))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(*.f64 (cbrt.f64 3) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 3))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 y 3))))
(.f64 (pow.f64 (.f64 y 3) 1/6) (pow.f64 (*.f64 y 3) 1/6))
(.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 y 3) 4)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2))))
(pow.f64 (*.f64 y 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 y 3)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2) 1/2)
(pow.f64 (exp.f64 1/3) (log.f64 (*.f64 y 3)))
(pow.f64 (.f64 9 (.f64 y y)) 1/6)
(pow.f64 (pow.f64 (*.f64 y 3) 3) 1/9)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y 3))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)) 3/2)
(pow.f64 (pow.f64 (*.f64 y 3) 1/6) 2)
(pow.f64 (sqrt.f64 (*.f64 y 3)) 2/3)
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (*.f64 y 3))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 y 3)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (.f64 y 3)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (.f64 y 3))))) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 y 3)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2))
(fabs.f64 (cbrt.f64 (*.f64 y 3)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y 3))))
(log.f64 (+.f64 1 (expm1.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))))
(exp.f64 (.f64 (log.f64 (.f64 y 3)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y 3))) 1))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (*.f64 y 3))) 1/2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 y 3)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y 3) 1/6)) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y 3)) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y 3)) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 y 3))) 1) 1))
(exp.f64 (.f64 (.f64 (.f64 2/3 (log.f64 (.f64 y 3))) 1) 1/2))
(+.f64 0 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2))) 1)
(.f64 (cbrt.f64 (.f64 y 3)) (cbrt.f64 (*.f64 y 3)))
(.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2) 1)
(.f64 1 (pow.f64 (cbrt.f64 (.f64 y 3)) 2))
(.f64 (cbrt.f64 y) (.f64 (cbrt.f64 3) (cbrt.f64 (*.f64 y 3))))
(.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 9))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y 3) 4))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 y 3) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(.f64 (pow.f64 (.f64 y 3) 1/6) (sqrt.f64 (*.f64 y 3)))
(.f64 (sqrt.f64 (.f64 y 3)) (pow.f64 (*.f64 y 3) 1/6))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y 3))) 5) (cbrt.f64 (cbrt.f64 (*.f64 y 3))))
(.f64 (.f64 (cbrt.f64 (*.f64 y 3)) (cbrt.f64 y)) (cbrt.f64 3))
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 y 3) 4)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2))))
(cbrt.f64 (.f64 9 (.f64 y y)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(exp.f64 (.f64 2/3 (log.f64 (.f64 y 3))))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (*.f64 y 3))) 1))
(exp.f64 (.f64 (log.f64 (.f64 y 3)) 2/3))
(exp.f64 (.f64 (log.f64 (.f64 9 (*.f64 y y))) 1/3))
(exp.f64 (.f64 (.f64 1/3 (.f64 2/3 (log.f64 (.f64 y 3)))) 3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y 3)) 1) 2/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y 3)) 1/3) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 y 3))) 1) 2))
(exp.f64 (.f64 (.f64 (.f64 2/3 (log.f64 (.f64 y 3))) 1) 1))

Outputs
(+.f64 0 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)))
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))))))
(.f64 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))))))
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)))) 1)
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)) 1)
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(.f64 1 (cbrt.f64 (.f64 (/.f64 x y) 1/3)))
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(*.f64 (cbrt.f64 1/3) (cbrt.f64 (/.f64 x y)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3))) 2))
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3))))
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 1/3))
(*.f64 (cbrt.f64 1/3) (cbrt.f64 (/.f64 x y)))
(.f64 (pow.f64 (.f64 (/.f64 x y) 1/3) 1/6) (pow.f64 (*.f64 (/.f64 x y) 1/3) 1/6))
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(/.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 y))
(pow.f64 (*.f64 (/.f64 x y) 1/3) 1/3)
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) 1)
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(pow.f64 (exp.f64 1/3) (log.f64 (*.f64 (/.f64 x y) 1/3)))
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(pow.f64 (*.f64 1/9 (pow.f64 (/.f64 x y) 2)) 1/6)
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3) 1/9)
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 x y) 3) 1/27) 1/18) (pow.f64 (*.f64 (pow.f64 (/.f64 x y) 3) 1/27) 1/18))
(*.f64 (pow.f64 (/.f64 1/27 (pow.f64 (/.f64 y x) 3)) 1/18) (pow.f64 (/.f64 1/27 (pow.f64 (/.f64 y x) 3)) 1/18))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) 2) 1/2)
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3))) 3)
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 2/3)
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/3))) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3))))
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 1/6) 2)
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3))))
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))))) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) 2))
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3))))
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)))))
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3))))
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3))))
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3))))
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x y) 1/3)) 1/3))
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3))) 1))
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)))) 3))
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (*.f64 (/.f64 x y) 1/3))) 2))
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 x y) 1/3)) 1) 1/3))
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 x y) 1/3)) 1/3) 1))
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3))) 1) 1))
(cbrt.f64 (*.f64 (/.f64 x y) 1/3))
(+.f64 0 (cbrt.f64 x))
(cbrt.f64 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))
(cbrt.f64 x)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)
(cbrt.f64 x)
(*.f64 (cbrt.f64 x) 1)
(cbrt.f64 x)
(*.f64 1 (cbrt.f64 x))
(cbrt.f64 x)
(.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (.f64 x x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 (cbrt.f64 x)))
(.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (.f64 x x))))
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(cbrt.f64 x)
(pow.f64 x 1/3)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 1)
(cbrt.f64 x)
(pow.f64 (exp.f64 1/3) (log.f64 x))
(cbrt.f64 x)
(pow.f64 (cbrt.f64 (*.f64 x x)) 1/2)
(sqrt.f64 (cbrt.f64 (*.f64 x x)))
(pow.f64 (*.f64 x x) 1/6)
(cbrt.f64 x)
(pow.f64 (pow.f64 x 3) 1/9)
(*.f64 (pow.f64 (pow.f64 x 3) 1/18) (pow.f64 (pow.f64 x 3) 1/18))
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(cbrt.f64 x)
(pow.f64 (pow.f64 x 1/6) 2)
(cbrt.f64 x)
(pow.f64 (sqrt.f64 x) 2/3)
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (sqrt.f64 (log.f64 (cbrt.f64 x))))
(sqrt.f64 (cbrt.f64 (*.f64 x x)))
(log.f64 (exp.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))
(cbrt.f64 x)
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (log.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) 1/3))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) 3))
(cbrt.f64 x)
(exp.f64 (.f64 (.f64 1/6 (log.f64 x)) 2))
(cbrt.f64 x)
(exp.f64 (.f64 (.f64 (log.f64 x) 1) 1/3))
(cbrt.f64 x)
(exp.f64 (.f64 (.f64 (log.f64 x) 1/3) 1))
(cbrt.f64 x)
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 x)) 1) 1))
(cbrt.f64 x)
(+.f64 0 (cbrt.f64 (*.f64 y 3)))
(cbrt.f64 (*.f64 y 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 y 3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 y 3))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 y 3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 y 3))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 y 3))))))
(cbrt.f64 (*.f64 y 3))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y 3)))) 1)
(cbrt.f64 (*.f64 y 3))
(.f64 (cbrt.f64 (.f64 y 3)) 1)
(cbrt.f64 (*.f64 y 3))
(.f64 1 (cbrt.f64 (.f64 y 3)))
(cbrt.f64 (*.f64 y 3))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 y 3))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(cbrt.f64 (*.f64 y 3))
(*.f64 (cbrt.f64 3) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 3))
(*.f64 (cbrt.f64 y) (cbrt.f64 3))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 y 3))))
(cbrt.f64 (*.f64 y 3))
(.f64 (pow.f64 (.f64 y 3) 1/6) (pow.f64 (*.f64 y 3) 1/6))
(cbrt.f64 (*.f64 y 3))
(.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 y 3) 4)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2))))
(.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 y 3) 4)))) (sqrt.f64 (pow.f64 (exp.f64 2/9) (log.f64 (*.f64 y 3)))))
(pow.f64 (*.f64 y 3) 1/3)
(cbrt.f64 (*.f64 y 3))
(pow.f64 (cbrt.f64 (*.f64 y 3)) 1)
(cbrt.f64 (*.f64 y 3))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2) 1/2)
(cbrt.f64 (*.f64 y 3))
(pow.f64 (exp.f64 1/3) (log.f64 (*.f64 y 3)))
(cbrt.f64 (*.f64 y 3))
(pow.f64 (.f64 9 (.f64 y y)) 1/6)
(cbrt.f64 (*.f64 y 3))
(pow.f64 (pow.f64 (*.f64 y 3) 3) 1/9)
(.f64 (pow.f64 (.f64 (pow.f64 y 3) 27) 1/18) (pow.f64 (*.f64 (pow.f64 y 3) 27) 1/18))
(.f64 (pow.f64 (pow.f64 (.f64 y 3) 3) 1/18) (pow.f64 (pow.f64 (*.f64 y 3) 3) 1/18))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y 3))) 3)
(cbrt.f64 (*.f64 y 3))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)) 3/2)
(cbrt.f64 (*.f64 y 3))
(pow.f64 (pow.f64 (*.f64 y 3) 1/6) 2)
(cbrt.f64 (*.f64 y 3))
(pow.f64 (sqrt.f64 (*.f64 y 3)) 2/3)
(cbrt.f64 (*.f64 y 3))
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (*.f64 y 3))))
(cbrt.f64 (*.f64 y 3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 y 3)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (.f64 y 3)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (.f64 y 3))))) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 y 3)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2))
(cbrt.f64 (*.f64 y 3))
(fabs.f64 (cbrt.f64 (*.f64 y 3)))
(cbrt.f64 (*.f64 y 3))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y 3))))
(cbrt.f64 (*.f64 y 3))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 y 3)))))
(cbrt.f64 (*.f64 y 3))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y 3))))
(cbrt.f64 (*.f64 y 3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y 3))))
(cbrt.f64 (*.f64 y 3))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y 3))))
(cbrt.f64 (*.f64 y 3))
(exp.f64 (.f64 (log.f64 (.f64 y 3)) 1/3))
(cbrt.f64 (*.f64 y 3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y 3))) 1))
(cbrt.f64 (*.f64 y 3))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (*.f64 y 3))) 1/2))
(cbrt.f64 (*.f64 y 3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 y 3)))) 3))
(cbrt.f64 (*.f64 y 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y 3) 1/6)) 2))
(cbrt.f64 (*.f64 y 3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y 3)) 1) 1/3))
(cbrt.f64 (*.f64 y 3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y 3)) 1/3) 1))
(cbrt.f64 (*.f64 y 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 y 3))) 1) 1))
(cbrt.f64 (*.f64 y 3))
(exp.f64 (.f64 (.f64 (.f64 2/3 (log.f64 (.f64 y 3))) 1) 1/2))
(cbrt.f64 (*.f64 y 3))
(+.f64 0 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2))
(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)))))
(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)
(.f64 (cbrt.f64 (.f64 y 3)) (cbrt.f64 (*.f64 y 3)))
(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)
(.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2) 1)
(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)
(.f64 1 (pow.f64 (cbrt.f64 (.f64 y 3)) 2))
(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)
(.f64 (cbrt.f64 y) (.f64 (cbrt.f64 3) (cbrt.f64 (*.f64 y 3))))
(.f64 (cbrt.f64 y) (.f64 (cbrt.f64 (*.f64 y 3)) (cbrt.f64 3)))
(.f64 (cbrt.f64 (.f64 y 3)) (*.f64 (cbrt.f64 y) (cbrt.f64 3)))
(.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 9))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y 3) 4))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 y 3) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 y 3) 4))) (pow.f64 (exp.f64 2/9) (log.f64 (*.f64 y 3))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 y 3) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y 3) 4))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 y 3) 4))) (pow.f64 (exp.f64 2/9) (log.f64 (*.f64 y 3))))
(.f64 (pow.f64 (.f64 y 3) 1/6) (sqrt.f64 (*.f64 y 3)))
(.f64 (sqrt.f64 (.f64 y 3)) (pow.f64 (*.f64 y 3) 1/6))
(.f64 (pow.f64 (.f64 y 3) 1/6) (sqrt.f64 (*.f64 y 3)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y 3))) 5) (cbrt.f64 (cbrt.f64 (*.f64 y 3))))
(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)
(.f64 (.f64 (cbrt.f64 (*.f64 y 3)) (cbrt.f64 y)) (cbrt.f64 3))
(.f64 (cbrt.f64 y) (.f64 (cbrt.f64 (*.f64 y 3)) (cbrt.f64 3)))
(.f64 (cbrt.f64 (.f64 y 3)) (*.f64 (cbrt.f64 y) (cbrt.f64 3)))
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 y 3) 4)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2))))
(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)
(cbrt.f64 (.f64 9 (.f64 y y)))
(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)
(exp.f64 (.f64 2/3 (log.f64 (.f64 y 3))))
(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)
(exp.f64 (.f64 (.f64 2/3 (log.f64 (*.f64 y 3))) 1))
(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)
(exp.f64 (.f64 (log.f64 (.f64 y 3)) 2/3))
(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)
(exp.f64 (.f64 (log.f64 (.f64 9 (*.f64 y y))) 1/3))
(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)
(exp.f64 (.f64 (.f64 1/3 (.f64 2/3 (log.f64 (.f64 y 3)))) 3))
(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y 3)) 1) 2/3))
(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y 3)) 1/3) 2))
(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 y 3))) 1) 2))
(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)
(exp.f64 (.f64 (.f64 (.f64 2/3 (log.f64 (.f64 y 3))) 1) 1))
(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)

eval165.0ms (5%)

Compiler: Compiled 6066 to 4118 computations (32.1% saved)

prune123.0ms (3.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	397	4	401
Fresh	3	0	3
Picked	1	0	1
Done	2	3	5
Total	403	7	410

Error

Counts

410 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	25.2b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 2)
▶	0.3b	(/.f64 (/.f64 x y) 3)
▶	0.3b	(/.f64 (*.f64 x 1/3) y)
✓	0.2b	(/.f64 x (*.f64 y 3))
▶	0.7b	(/.f64 1/3 (/.f64 y x))
✓	0.3b	(*.f64 (/.f64 1 y) (/.f64 x 3))
▶	25.3b	(.f64 (.f64 1/3 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))

Compiler

Compiled 60 to 42 computations (30% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 1/3 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
✓	0.2b	(*.f64 1/3 (sqrt.f64 (/.f64 x y)))
✓	7.1b	(sqrt.f64 (/.f64 x y))

Compiler

Compiled 29 to 10 computations (65.5% saved)

series12.0ms (0.4%)

Counts

3 → 24

Calls

18 calls:

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

rewrite156.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

821×	`pow1_binary64`
762×	`add-log-exp_binary64`
762×	`log1p-expm1-u_binary64`
762×	`expm1-log1p-u_binary64`
745×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	167	22
2	2079	22

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 x y))) (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x y) 1/4) (pow.f64 (/.f64 x y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 x y))))))))

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

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

simplify46.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

614×	`fma-def_binary64`
486×	`log-prod_binary64`
330×	`unswap-sqr_binary64`
216×	`fma-neg_binary64`
208×	`log-div_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	140	850
1	294	745
2	1077	654
3	4499	640

Stop Event

1×	node limit

Counts

83 → 75

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 (.f64 (pow.f64 (sqrt.f64 -1) 2) x) y))
(.f64 -1/3 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) x) y))
(.f64 -1/3 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) x) y))
(.f64 -1/3 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) 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 (.f64 (pow.f64 (sqrt.f64 -1) 2) x) y))
(.f64 -1/3 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) x) y))
(.f64 -1/3 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) x) y))
(.f64 -1/3 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) x) y))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 x y))) 1)
(*.f64 (sqrt.f64 (/.f64 x y)) 1)
(*.f64 1 (sqrt.f64 (/.f64 x y)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x y))) (cbrt.f64 (/.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (sqrt.f64 (/.f64 x y))))
(*.f64 (pow.f64 (/.f64 x y) 1/4) (pow.f64 (/.f64 x y) 1/4))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 y) 1/2))
(*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 y)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 x y)) 1/2))
(/.f64 1 (sqrt.f64 (/.f64 y x)))
(/.f64 1 (/.f64 (sqrt.f64 y) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (sqrt.f64 y))
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 y)))
(pow.f64 (/.f64 x y) 1/2)
(pow.f64 (sqrt.f64 (/.f64 x y)) 1)
(pow.f64 (pow.f64 (/.f64 x y) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x y))) 3)
(pow.f64 (pow.f64 (/.f64 x y) 1/4) 2)
(fabs.f64 (sqrt.f64 (/.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 x y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 x y))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 x y))))
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 x y)) 1/3)) 1)
(/.f64 (*.f64 (sqrt.f64 x) 1/3) (sqrt.f64 y))
(/.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 y))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 x y)) 1/3) 1)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 x y)) 1/3) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 x y)) 1/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 x y)) 1/3)) 2)
(sqrt.f64 (*.f64 (/.f64 x y) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 x y)) 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 x y)) 1/3)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 x y)) 1/3)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 x y)) 1/3)))
(-.f64 (+.f64 1 (*.f64 (/.f64 x y) 1/3)) 1)
(/.f64 1/3 (/.f64 y x))
(/.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (/.f64 x y)) 1/3)) (sqrt.f64 y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 (*.f64 1/3 (neg.f64 x)) (neg.f64 y))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 x y)) 1/3) (sqrt.f64 x)) (sqrt.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))
(cbrt.f64 (.f64 (pow.f64 (/.f64 x y) 3/2) (pow.f64 (.f64 (sqrt.f64 (/.f64 x y)) 1/3) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 x y)) 1/3) 3) (pow.f64 (/.f64 x y) 3/2)))
(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 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(.f64 -1/3 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) x) y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(.f64 -1/3 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) x) y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(.f64 -1/3 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) x) y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(.f64 -1/3 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) x) y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(.f64 -1/3 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) x) y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(.f64 -1/3 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) x) y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(.f64 -1/3 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) x) y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(.f64 -1/3 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) x) y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 x y))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 x y)) 1))
(+.f64 (sqrt.f64 (/.f64 x y)) 0)
(sqrt.f64 (/.f64 x y))
(*.f64 (sqrt.f64 (/.f64 x y)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 x y)) 1))
(+.f64 (sqrt.f64 (/.f64 x y)) 0)
(sqrt.f64 (/.f64 x y))
(*.f64 1 (sqrt.f64 (/.f64 x y)))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 x y)) 1))
(+.f64 (sqrt.f64 (/.f64 x y)) 0)
(sqrt.f64 (/.f64 x y))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x y))) (cbrt.f64 (/.f64 x y)))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 x y)) 1))
(+.f64 (sqrt.f64 (/.f64 x y)) 0)
(sqrt.f64 (/.f64 x y))
(*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (sqrt.f64 (/.f64 x y))))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 x y)) 1))
(+.f64 (sqrt.f64 (/.f64 x y)) 0)
(sqrt.f64 (/.f64 x y))
(*.f64 (pow.f64 (/.f64 x y) 1/4) (pow.f64 (/.f64 x y) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 x y)) 1))
(+.f64 (sqrt.f64 (/.f64 x y)) 0)
(sqrt.f64 (/.f64 x y))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 y) 1/2))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 y)))
(/.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 x y))) (sqrt.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 (cbrt.f64 (/.f64 x y))))
(pow.f64 (cbrt.f64 (/.f64 x y)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 x y)))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 x y)) 1))
(+.f64 (sqrt.f64 (/.f64 x y)) 0)
(sqrt.f64 (/.f64 x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 x y)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 x y))) (sqrt.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 (cbrt.f64 (/.f64 x y))))
(pow.f64 (cbrt.f64 (/.f64 x y)) 3/2)
(/.f64 1 (sqrt.f64 (/.f64 y x)))
(/.f64 1 (/.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 y)))
(/.f64 (sqrt.f64 x) (sqrt.f64 y))
(/.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 y)))
(/.f64 (sqrt.f64 x) (sqrt.f64 y))
(pow.f64 (/.f64 x y) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 x y)) 1))
(+.f64 (sqrt.f64 (/.f64 x y)) 0)
(sqrt.f64 (/.f64 x y))
(pow.f64 (sqrt.f64 (/.f64 x y)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 x y)) 1))
(+.f64 (sqrt.f64 (/.f64 x y)) 0)
(sqrt.f64 (/.f64 x y))
(pow.f64 (pow.f64 (/.f64 x y) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 x y)) 1))
(+.f64 (sqrt.f64 (/.f64 x y)) 0)
(sqrt.f64 (/.f64 x y))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x y))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 x y)) 1))
(+.f64 (sqrt.f64 (/.f64 x y)) 0)
(sqrt.f64 (/.f64 x y))
(pow.f64 (pow.f64 (/.f64 x y) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 x y)) 1))
(+.f64 (sqrt.f64 (/.f64 x y)) 0)
(sqrt.f64 (/.f64 x y))
(fabs.f64 (sqrt.f64 (/.f64 x y)))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 x y)) 1))
(+.f64 (sqrt.f64 (/.f64 x y)) 0)
(sqrt.f64 (/.f64 x y))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 x y))))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 x y)) 1))
(+.f64 (sqrt.f64 (/.f64 x y)) 0)
(sqrt.f64 (/.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 x y) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 x y)) 1))
(+.f64 (sqrt.f64 (/.f64 x y)) 0)
(sqrt.f64 (/.f64 x y))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 x y))))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 x y)) 1))
(+.f64 (sqrt.f64 (/.f64 x y)) 0)
(sqrt.f64 (/.f64 x y))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 x y))))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 x y)) 1))
(+.f64 (sqrt.f64 (/.f64 x y)) 0)
(sqrt.f64 (/.f64 x y))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 x y))))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 x y)) 1))
(+.f64 (sqrt.f64 (/.f64 x y)) 0)
(sqrt.f64 (/.f64 x y))
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 x y)) 1/3)) 1)
(+.f64 1 (-.f64 (*.f64 1/3 (sqrt.f64 (/.f64 x y))) 1))
(+.f64 (*.f64 1/3 (sqrt.f64 (/.f64 x y))) 0)
(*.f64 1/3 (sqrt.f64 (/.f64 x y)))
(/.f64 (*.f64 (sqrt.f64 x) 1/3) (sqrt.f64 y))
(/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 y) 1/3))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) 1/3)
(/.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 y))
(/.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 y))
(/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 y) 1/3))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 x y)) 1/3) 1)
(+.f64 1 (-.f64 (*.f64 1/3 (sqrt.f64 (/.f64 x y))) 1))
(+.f64 (*.f64 1/3 (sqrt.f64 (/.f64 x y))) 0)
(*.f64 1/3 (sqrt.f64 (/.f64 x y)))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 x y)) 1/3) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 1/3 (sqrt.f64 (/.f64 x y))) 1))
(+.f64 (*.f64 1/3 (sqrt.f64 (/.f64 x y))) 0)
(*.f64 1/3 (sqrt.f64 (/.f64 x y)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 x y)) 1/3)) 3)
(+.f64 1 (-.f64 (*.f64 1/3 (sqrt.f64 (/.f64 x y))) 1))
(+.f64 (*.f64 1/3 (sqrt.f64 (/.f64 x y))) 0)
(*.f64 1/3 (sqrt.f64 (/.f64 x y)))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 x y)) 1/3)) 2)
(+.f64 1 (-.f64 (*.f64 1/3 (sqrt.f64 (/.f64 x y))) 1))
(+.f64 (*.f64 1/3 (sqrt.f64 (/.f64 x y))) 0)
(*.f64 1/3 (sqrt.f64 (/.f64 x y)))
(sqrt.f64 (*.f64 (/.f64 x y) 1/9))
(+.f64 1 (-.f64 (*.f64 1/3 (sqrt.f64 (/.f64 x y))) 1))
(+.f64 (*.f64 1/3 (sqrt.f64 (/.f64 x y))) 0)
(*.f64 1/3 (sqrt.f64 (/.f64 x y)))
(log.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (/.f64 x y))))
(+.f64 1 (-.f64 (*.f64 1/3 (sqrt.f64 (/.f64 x y))) 1))
(+.f64 (*.f64 1/3 (sqrt.f64 (/.f64 x y))) 0)
(*.f64 1/3 (sqrt.f64 (/.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 x y)) 1/3) 3))
(+.f64 1 (-.f64 (*.f64 1/3 (sqrt.f64 (/.f64 x y))) 1))
(+.f64 (*.f64 1/3 (sqrt.f64 (/.f64 x y))) 0)
(*.f64 1/3 (sqrt.f64 (/.f64 x y)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 x y)) 1/3)))
(+.f64 1 (-.f64 (*.f64 1/3 (sqrt.f64 (/.f64 x y))) 1))
(+.f64 (*.f64 1/3 (sqrt.f64 (/.f64 x y))) 0)
(*.f64 1/3 (sqrt.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 x y)) 1/3)))
(+.f64 1 (-.f64 (*.f64 1/3 (sqrt.f64 (/.f64 x y))) 1))
(+.f64 (*.f64 1/3 (sqrt.f64 (/.f64 x y))) 0)
(*.f64 1/3 (sqrt.f64 (/.f64 x y)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 x y)) 1/3)))
(+.f64 1 (-.f64 (*.f64 1/3 (sqrt.f64 (/.f64 x y))) 1))
(+.f64 (*.f64 1/3 (sqrt.f64 (/.f64 x y))) 0)
(*.f64 1/3 (sqrt.f64 (/.f64 x y)))
(-.f64 (+.f64 1 (*.f64 (/.f64 x y) 1/3)) 1)
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (/.f64 x y)) 1/3)) (sqrt.f64 y))
(/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 y) (*.f64 1/3 (sqrt.f64 (/.f64 x y)))))
(/.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) 1/3))
(*.f64 (sqrt.f64 x) (/.f64 1/3 (/.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 x y)))))
(/.f64 (*.f64 1/3 x) y)
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 (neg.f64 x)) (neg.f64 y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 x y)) 1/3) (sqrt.f64 x)) (sqrt.f64 y))
(/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 y) (*.f64 1/3 (sqrt.f64 (/.f64 x y)))))
(/.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) 1/3))
(*.f64 (sqrt.f64 x) (/.f64 1/3 (/.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 x y)))))
(pow.f64 (*.f64 (/.f64 x y) 1/3) 1)
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3) 1/3)
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) 3)
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 2)
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(sqrt.f64 (*.f64 1/9 (pow.f64 (/.f64 x y) 2)))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(log.f64 (pow.f64 (exp.f64 1/3) (/.f64 x y)))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(cbrt.f64 (.f64 (pow.f64 (/.f64 x y) 3/2) (pow.f64 (.f64 (sqrt.f64 (/.f64 x y)) 1/3) 3)))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 x y)) 1/3) 3) (pow.f64 (/.f64 x y) 3/2)))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) 1/3)))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) 1/3)))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) 1/3)))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite43.0ms (1.3%)

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))))))))

simplify34.0ms (1%)

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)

series3.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite61.0ms (1.9%)

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))))))))

simplify38.0ms (1.1%)

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))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite47.0ms (1.4%)

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)))))))

simplify44.0ms (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))

eval44.0ms (1.3%)

Compiler: Compiled 2452 to 1203 computations (50.9% saved)

prune30.0ms (0.9%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	225	1	226
Fresh	0	0	0
Picked	0	1	1
Done	2	4	6
Total	227	6	233

Error

Counts

233 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	25.2b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 2)
✓	0.3b	(/.f64 (/.f64 x y) 3)
▶	0.2b	(/.f64 (/.f64 x 3) y)
✓	0.2b	(/.f64 x (*.f64 y 3))
✓	0.7b	(/.f64 1/3 (/.f64 y x))
✓	25.3b	(.f64 (.f64 1/3 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))

Compiler

Compiled 51 to 35 computations (31.4% 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)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite44.0ms (1.3%)

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))))))))

simplify43.0ms (1.3%)

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)

eval9.0ms (0.3%)

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

prune9.0ms (0.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	43	6	49

Error

Counts

49 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	25.2b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 2)
✓	0.3b	(/.f64 (/.f64 x y) 3)
✓	0.2b	(/.f64 (/.f64 x 3) y)
✓	0.2b	(/.f64 x (*.f64 y 3))
✓	0.7b	(/.f64 1/3 (/.f64 y x))
✓	25.3b	(.f64 (.f64 1/3 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))

Compiler

Compiled 51 to 35 computations (31.4% saved)

regimes34.0ms (1%)

Counts

14 → 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))
(pow.f64 (*.f64 3 (/.f64 y x)) -1)
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) 2)
(.f64 (.f64 1/3 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(/.f64 (/.f64 x (sqrt.f64 (.f64 y 3))) (sqrt.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)))

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

Calls

4 calls:

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

Compiler

Compiled 125 to 79 computations (36.8% saved)

regimes10.0ms (0.3%)

Accuracy

Total -0.7b remaining (-189.2%)

Threshold costs -0.7b (-189.2%)

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:

6.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	11	14

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

soundness0.0ms (0%)

end18.0ms (0.6%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

Details

analyze69.0ms (2.1%)

sample942.0ms (28.6%)

preprocess19.0ms (0.6%)

simplify7.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series4.0ms (0.1%)

rewrite44.0ms (1.3%)

simplify41.0ms (1.2%)

eval9.0ms (0.3%)

prune333.0ms (10.1%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite140.0ms (4.2%)

simplify43.0ms (1.3%)

localize5.0ms (0.2%)

series3.0ms (0.1%)

rewrite75.0ms (2.3%)

simplify41.0ms (1.3%)

localize7.0ms (0.2%)

series9.0ms (0.3%)

rewrite49.0ms (1.5%)

simplify46.0ms (1.4%)

localize10.0ms (0.3%)

series15.0ms (0.4%)

rewrite87.0ms (2.7%)

simplify51.0ms (1.5%)

localize36.0ms (1.1%)

series24.0ms (0.7%)

rewrite64.0ms (1.9%)

simplify61.0ms (1.8%)

eval165.0ms (5%)

prune123.0ms (3.7%)

localize8.0ms (0.2%)

series12.0ms (0.4%)

rewrite156.0ms (4.7%)

simplify46.0ms (1.4%)

localize5.0ms (0.2%)

series4.0ms (0.1%)

rewrite43.0ms (1.3%)

simplify34.0ms (1%)

localize5.0ms (0.2%)

series3.0ms (0.1%)

rewrite61.0ms (1.9%)

simplify38.0ms (1.1%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite47.0ms (1.4%)

simplify44.0ms (1.3%)

eval44.0ms (1.3%)

prune30.0ms (0.9%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite44.0ms (1.3%)

simplify43.0ms (1.3%)

eval9.0ms (0.3%)

prune9.0ms (0.3%)

regimes34.0ms (1%)

regimes10.0ms (0.3%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end18.0ms (0.6%)

Profiling