Details

analyze49.0ms (2%)

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)

sample764.0ms (30.5%)

Results

720.0ms	8256×	body	256	valid
32.0ms	380×	body	256	infinite

Bogosity

preprocess18.0ms (0.7%)

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 (0.3%)

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 (0.2%)

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 (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (2.3%)

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)))))))

simplify13.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

62 → 38

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))

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

eval12.0ms (0.5%)

Compiler: Compiled 365 to 226 computations (38.1% saved)

prune11.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	32	6	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	7	39

Error

Counts

39 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(*.f64 (/.f64 1 y) (/.f64 x 3))
✓	0.2b	(/.f64 x (*.f64 y 3))
▶	0.3b	(*.f64 (/.f64 1/3 y) x)
	33.0b	(.f64 (/.f64 1 (sqrt.f64 (.f64 y 3))) (/.f64 x (sqrt.f64 (*.f64 y 3))))
▶	30.5b	(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 3))
▶	0.5b	(pow.f64 (*.f64 3 (/.f64 y x)) -1)
▶	0.3b	(*.f64 (/.f64 x y) 1/3)

Compiler

Compiled 123 to 91 computations (26% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1/3 y) x)
✓	0.3b	(/.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
1.0ms	y	@	0	(/.f64 1/3 y)
1.0ms	y	@	inf	(/.f64 1/3 y)
0.0ms	y	@	-inf	(/.f64 1/3 y)
0.0ms	x	@	-inf	(*.f64 (/.f64 1/3 y) x)
0.0ms	y	@	-inf	(*.f64 (/.f64 1/3 y) x)

rewrite61.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`pow1_binary64`
573×	`add-log-exp_binary64`
573×	`log1p-expm1-u_binary64`
573×	`expm1-log1p-u_binary64`
562×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	128	11
2	1560	11

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

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

Outputs

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

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

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

65 → 42

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))

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite298.0ms (11.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

45 → 22

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))

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

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (2.3%)

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)))))))

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

70 → 47

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))

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

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

series8.0ms (0.3%)

Counts

2 → 24

Calls

12 calls:

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

rewrite73.0ms (2.9%)

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))))))))

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

68 → 44

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))

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

localize15.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sqrt.f64 x) 3)
✓	0.1b	(/.f64 (sqrt.f64 x) y)
✓	0.2b	(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 3))

Compiler

Compiled 24 to 10 computations (58.3% saved)

series11.0ms (0.4%)

Counts

3 → 36

Calls

15 calls:

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

rewrite75.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`pow1_binary64`
873×	`add-log-exp_binary64`
873×	`log1p-expm1-u_binary64`
873×	`expm1-log1p-u_binary64`
854×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	178	19
2	2381	19

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

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

Outputs

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

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

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

simplify104.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

879×	`associate-*l/_binary64`
477×	`*-commutative_binary64`
458×	`associate-/r*_binary64`
428×	`associate-/l*_binary64`
424×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	276
1	36	240
2	68	240
3	143	240
4	369	240
5	1313	240
6	3494	240
7	3958	240
8	4979	240
9	5338	240
10	6513	240
11	6989	240

Stop Event

1×	node limit

Counts

140 → 108

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

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

eval86.0ms (3.5%)

Compiler: Compiled 2444 to 1369 computations (44% saved)

prune45.0ms (1.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	260	3	263
Fresh	1	0	1
Picked	1	0	1
Done	2	3	5
Total	264	6	270

Error

Counts

270 → 6

Alt Table

Click to see full alt table

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

Compiler

Compiled 46 to 34 computations (26.1% saved)

localize272.0ms (10.9%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (2.1%)

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))))))))

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

50 → 26

Calls

Call 1

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

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

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

series4.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite66.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

830×	`pow1_binary64`
772×	`add-log-exp_binary64`
772×	`log1p-expm1-u_binary64`
772×	`expm1-log1p-u_binary64`
756×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	168	14
2	2142	14

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

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

simplify17.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	336
1	15	336
2	21	336
3	29	336
4	31	336

Stop Event

1×

saturated

Counts

131 → 84

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

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

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite60.0ms (2.4%)

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)))))))

simplify13.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

51 → 27

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))

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

eval35.0ms (1.4%)

Compiler: Compiled 1358 to 906 computations (33.3% saved)

prune24.0ms (1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	137	6	143

Error

Counts

143 → 6

Alt Table

Click to see full alt table

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

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes31.0ms (1.3%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	(*.f64 y 3)
7.0ms	y
6.0ms	x
6.0ms	(/.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 88 to 58 computations (34.1% saved)

regimes10.0ms (0.4%)

Accuracy

Total -0.6b remaining (-225.9%)

Threshold costs -0.6b (-225.9%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`

Compiler

Compiled 28 to 17 computations (39.3% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	12	21

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

soundness0.0ms (0%)

end23.0ms (0.9%)

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

Details

analyze49.0ms (2%)

sample764.0ms (30.5%)

preprocess18.0ms (0.7%)

simplify7.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series4.0ms (0.2%)

rewrite57.0ms (2.3%)

simplify13.0ms (0.5%)

eval12.0ms (0.5%)

prune11.0ms (0.4%)

localize8.0ms (0.3%)

series3.0ms (0.1%)

rewrite61.0ms (2.4%)

simplify12.0ms (0.5%)

localize6.0ms (0.2%)

series2.0ms (0.1%)

rewrite298.0ms (11.9%)

simplify12.0ms (0.5%)

localize8.0ms (0.3%)

series2.0ms (0.1%)

rewrite58.0ms (2.3%)

simplify12.0ms (0.5%)

localize11.0ms (0.4%)

series8.0ms (0.3%)

rewrite73.0ms (2.9%)

simplify12.0ms (0.5%)

localize15.0ms (0.6%)

series11.0ms (0.4%)

rewrite75.0ms (3%)

simplify104.0ms (4.1%)

eval86.0ms (3.5%)

prune45.0ms (1.8%)

localize272.0ms (10.9%)

series2.0ms (0.1%)

rewrite53.0ms (2.1%)

simplify12.0ms (0.5%)

localize9.0ms (0.4%)

series4.0ms (0.2%)

rewrite66.0ms (2.6%)

simplify17.0ms (0.7%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite60.0ms (2.4%)

simplify13.0ms (0.5%)

eval35.0ms (1.4%)

prune24.0ms (1%)

regimes31.0ms (1.3%)

regimes10.0ms (0.4%)

simplify5.0ms (0.2%)

soundness0.0ms (0%)

end23.0ms (0.9%)

Profiling