Details

analyze94.0ms (2.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	56.2%	0.1%	6
59.3%	40.6%	0.1%	7
67.1%	31.2%	1.7%	8
74.1%	22.6%	3.2%	9
77.7%	17.2%	5.2%	10
81%	11.9%	7.1%	11
82.6%	9%	8.4%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample2.0s (50.1%)

Results

1.7s	8256×	body	256	valid
200.0ms	399×	body	256	invalid

preprocess27.0ms (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)

simplify11.0ms (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))

eval1.0ms (0%)

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

prune2.0ms (0.1%)

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)

localize10.0ms (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)

series8.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	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))

rewrite69.0ms (1.8%)

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)))))))

simplify18.0ms (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))

eval15.0ms (0.4%)

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

prune21.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	33	5	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	6	39

Error

0.0b

Counts

39 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(pow.f64 (*.f64 3 (/.f64 y x)) -1)
▶	1.3b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 x (cbrt.f64 (*.f64 y 3))))
▶	0.3b	(*.f64 (/.f64 1/3 y) x)
▶	0.3b	(*.f64 (/.f64 1 y) (/.f64 x 3))
✓	0.2b	(/.f64 x (*.f64 y 3))
▶	0.3b	(*.f64 (/.f64 x y) 1/3)

Compiler

Compiled 105 to 81 computations (22.9% saved)

localize9.0ms (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)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (1.4%)

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)))))))

simplify62.0ms (1.6%)

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 (0.3%)

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

rewrite58.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

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

simplify12.0ms (0.3%)

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))

localize5.0ms (0.1%)

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%)

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	@	0	(*.f64 (/.f64 x y) 1/3)

rewrite132.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.3%)

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))

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 3 (/.f64 y x))
✓	0.6b	(pow.f64 (*.f64 3 (/.f64 y x)) -1)

Compiler

Compiled 21 to 11 computations (47.6% saved)

series8.0ms (0.2%)

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

rewrite62.0ms (1.6%)

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))))))))

simplify11.0ms (0.3%)

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))

localize25.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 x (cbrt.f64 (*.f64 y 3)))
✓	0.3b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 x (cbrt.f64 (*.f64 y 3))))
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)
✓	0.8b	(cbrt.f64 (*.f64 y 3))

Compiler

Compiled 49 to 38 computations (22.4% saved)

series41.0ms (1%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Expression
9.0ms	x	@	(/.f64 x (cbrt.f64 (*.f64 y 3)))
6.0ms	x	@	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 x (cbrt.f64 (*.f64 y 3))))
5.0ms	y	@	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 x (cbrt.f64 (*.f64 y 3))))
4.0ms	y	@	(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)
3.0ms	y	@	(cbrt.f64 (*.f64 y 3))

rewrite88.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

563×	`log-prod_binary64`
343×	`pow-prod-down_binary64`
277×	`pow2_binary64`
230×	`pow-unpow_binary64`
197×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	255	31
2	3132	31

Stop Event

1×	node limit

Counts

4 → 188

Calls

Call 1

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

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

simplify114.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

934×	`associate-/r/_binary64`
884×	`associate-/l/_binary64`
734×	`associate-/r*_binary64`
715×	`associate-*r/_binary64`
349×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	336
1	27	336
2	46	336
3	86	336
4	207	336
5	693	336
6	1639	336
7	2448	336
8	2518	336
9	2618	336
10	2745	336
11	2948	336
12	6190	336
13	6879	336
14	7914	336

Stop Event

1×	node limit

Counts

224 → 192

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

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

eval152.0ms (3.9%)

Compiler: Compiled 5252 to 4029 computations (23.3% saved)

prune83.0ms (2.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	381	3	384
Fresh	0	0	0
Picked	0	1	1
Done	2	3	5
Total	383	7	390

Error

Counts

390 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.3b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 x (cbrt.f64 (*.f64 y 3))))
▶	0.2b	(/.f64 (/.f64 x 3) y)
▶	0.7b	(/.f64 1 (/.f64 (*.f64 y 3) x))
✓	0.3b	(*.f64 (/.f64 1 y) (/.f64 x 3))
▶	0.5b	(/.f64 1/3 (/.f64 y x))
✓	0.2b	(/.f64 x (*.f64 y 3))
✓	0.3b	(*.f64 (/.f64 x y) 1/3)

Compiler

Compiled 63 to 48 computations (23.8% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite129.0ms (3.3%)

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))))))))

simplify11.0ms (0.3%)

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))

localize42.0ms (1.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 y 3) x)
✓	0.6b	(/.f64 1 (/.f64 (*.f64 y 3) x))

Compiler

Compiled 21 to 14 computations (33.3% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite69.0ms (1.8%)

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))))))))

simplify18.0ms (0.5%)

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))

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0%)

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	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)

rewrite64.0ms (1.6%)

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))))))))

simplify14.0ms (0.4%)

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 → 39

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))

eval40.0ms (1%)

Compiler: Compiled 1516 to 1047 computations (30.9% saved)

prune23.0ms (0.6%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	0	0	0
Picked	0	1	1
Done	1	5	6
Total	149	7	156

Error

Counts

156 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.2b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (.f64 x 1/3) (cbrt.f64 y)))
✓	0.2b	(/.f64 (/.f64 x 3) y)
✓	0.7b	(/.f64 1 (/.f64 (*.f64 y 3) x))
✓	0.3b	(*.f64 (/.f64 1 y) (/.f64 x 3))
✓	0.5b	(/.f64 1/3 (/.f64 y x))
✓	0.2b	(/.f64 x (*.f64 y 3))
✓	0.3b	(*.f64 (/.f64 x y) 1/3)

Compiler

Compiled 61 to 45 computations (26.2% saved)

localize24.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (.f64 x 1/3) (cbrt.f64 y)))
✓	0.3b	(*.f64 x 1/3)
✓	0.5b	(pow.f64 (cbrt.f64 y) 2)
✓	0.6b	(cbrt.f64 y)

Compiler

Compiled 41 to 25 computations (39% saved)

series11.0ms (0.3%)

Counts

4 → 36

Calls

15 calls:

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

rewrite92.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

576×	`log-prod_binary64`
366×	`pow-prod-down_binary64`
281×	`pow2_binary64`
228×	`pow-unpow_binary64`
201×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	255	20
2	3192	20

Stop Event

1×	node limit

Counts

4 → 162

Calls

Call 1

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

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

simplify17.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	216
1	10	216
2	14	216
3	16	216
4	17	216

Stop Event

1×

saturated

Counts

198 → 165

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))

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 (/.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))

eval64.0ms (1.6%)

Compiler: Compiled 2964 to 1901 computations (35.9% saved)

prune36.0ms (0.9%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	200	7	207

Error

Counts

207 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	1.2b	(/.f64 (pow.f64 (cbrt.f64 y) -2) (*.f64 3 (/.f64 (cbrt.f64 y) x)))
✓	0.2b	(/.f64 (/.f64 x 3) y)
✓	0.7b	(/.f64 1 (/.f64 (*.f64 y 3) x))
✓	0.3b	(*.f64 (/.f64 1 y) (/.f64 x 3))
✓	0.5b	(/.f64 1/3 (/.f64 y x))
✓	0.2b	(/.f64 x (*.f64 y 3))
✓	0.3b	(*.f64 (/.f64 x y) 1/3)

Compiler

Compiled 59 to 43 computations (27.1% saved)

regimes39.0ms (1%)

Accuracy

Total -1.8b remaining (-917%)

Threshold costs -1.8b (-917%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	(*.f64 y 3)
8.0ms	y
6.0ms	(*.f64 y 3)
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)`
0.2b	1	`(*.f64 y 3)`

Compiler

Compiled 110 to 75 computations (31.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

soundness0.0ms (0%)

end13.0ms (0.3%)

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

Details

analyze94.0ms (2.4%)

sample2.0s (50.1%)

preprocess27.0ms (0.7%)

simplify11.0ms (0.3%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize10.0ms (0.2%)

series8.0ms (0.2%)

rewrite69.0ms (1.8%)

simplify18.0ms (0.5%)

eval15.0ms (0.4%)

prune21.0ms (0.5%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite57.0ms (1.4%)

simplify62.0ms (1.6%)

localize11.0ms (0.3%)

series3.0ms (0.1%)

rewrite58.0ms (1.5%)

simplify12.0ms (0.3%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite132.0ms (3.4%)

simplify12.0ms (0.3%)

localize9.0ms (0.2%)

series8.0ms (0.2%)

rewrite62.0ms (1.6%)

simplify11.0ms (0.3%)

localize25.0ms (0.6%)

series41.0ms (1%)

rewrite88.0ms (2.2%)

simplify114.0ms (2.9%)

eval152.0ms (3.9%)

prune83.0ms (2.1%)

localize7.0ms (0.2%)

series2.0ms (0%)

rewrite129.0ms (3.3%)

simplify11.0ms (0.3%)

localize42.0ms (1.1%)

series3.0ms (0.1%)

rewrite69.0ms (1.8%)

simplify18.0ms (0.5%)

localize9.0ms (0.2%)

series2.0ms (0%)

rewrite64.0ms (1.6%)

simplify14.0ms (0.4%)

eval40.0ms (1%)

prune23.0ms (0.6%)

localize24.0ms (0.6%)

series11.0ms (0.3%)

rewrite92.0ms (2.3%)

simplify17.0ms (0.4%)

eval64.0ms (1.6%)

prune36.0ms (0.9%)

regimes39.0ms (1%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end13.0ms (0.3%)

Profiling