Details

analyze45.0ms (1.7%)

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)

sample691.0ms (26.1%)

Results

650.0ms	8256×	body	256	valid
30.0ms	388×	body	256	invalid

preprocess16.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series6.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

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

Outputs

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

simplify13.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

62 → 38

Calls

Call 1

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

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

eval8.0ms (0.3%)

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

prune10.0ms (0.4%)

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

Counts

39 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(*.f64 (/.f64 1 y) (/.f64 x 3))
✓	0.2b	(/.f64 x (*.f64 y 3))
▶	0.3b	(*.f64 (/.f64 x y) 1/3)
▶	0.3b	(*.f64 (/.f64 1/3 y) x)
▶	26.0b	(.f64 (/.f64 1 (sqrt.f64 (.f64 y 3))) (/.f64 x (sqrt.f64 (*.f64 y 3))))
▶	33.0b	(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y 3))))

Compiler

Compiled 121 to 91 computations (24.8% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

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

Outputs

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

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

70 → 47

Calls

Call 1

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

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

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

9 calls:

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

rewrite56.0ms (2.1%)

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 (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

65 → 42

Calls

Call 1

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

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

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite48.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

45 → 22

Calls

Call 1

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

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

localize17.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (*.f64 y 3))
✓	0.1b	(/.f64 x (sqrt.f64 (*.f64 y 3)))
✓	0.1b	(.f64 (/.f64 1 (sqrt.f64 (.f64 y 3))) (/.f64 x (sqrt.f64 (*.f64 y 3))))
✓	0.2b	(/.f64 1 (sqrt.f64 (*.f64 y 3)))

Compiler

Compiled 38 to 28 computations (26.3% saved)

series20.0ms (0.8%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(/.f64 x (sqrt.f64 (*.f64 y 3)))
2.0ms	x	@	0	(.f64 (/.f64 1 (sqrt.f64 (.f64 y 3))) (/.f64 x (sqrt.f64 (*.f64 y 3))))
2.0ms	y	@	0	(/.f64 1 (sqrt.f64 (*.f64 y 3)))
1.0ms	y	@	0	(.f64 (/.f64 1 (sqrt.f64 (.f64 y 3))) (/.f64 x (sqrt.f64 (*.f64 y 3))))
1.0ms	x	@	0	(/.f64 x (sqrt.f64 (*.f64 y 3)))

rewrite382.0ms (14.4%)

Algorithm

1×	batch-egg-rewrite

Rules

513×	`log-prod_binary64`
393×	`exp-prod_binary64`
301×	`pow-prod-down_binary64`
241×	`pow2_binary64`
229×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	207	29
2	2646	29

Stop Event

1×	node limit

Counts

4 → 234

Calls

Call 1

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

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

simplify122.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

700×	`associate-/r/_binary64`
589×	`fma-neg_binary64`
575×	`div-sub_binary64`
462×	`associate-*l/_binary64`
292×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	456
1	42	336
2	92	336
3	204	336
4	530	336
5	1985	336
6	3621	336
7	4484	336
8	5285	336
9	6824	336
10	7879	336

Stop Event

1×	node limit

Counts

270 → 239

Calls

Call 1

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

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

localize47.0ms (1.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y 3)))
✓	0.2b	(/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2))
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)
✓	0.8b	(cbrt.f64 (*.f64 y 3))

Compiler

Compiled 54 to 36 computations (33.3% saved)

series64.0ms (2.4%)

Counts

4 → 0

Calls

18 calls:

Time	Variable		Point	Expression
34.0ms	x	@	0	(/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y 3)))
6.0ms	y	@	inf	(/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2))
3.0ms	x	@	0	(/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2))
2.0ms	x	@	-inf	(/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2))
2.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 y 3)) 2)

rewrite90.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

523×	`log-prod_binary64`
389×	`exp-prod_binary64`
282×	`pow-prod-down_binary64`
268×	`pow2_binary64`
188×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	233	40
2	2800	40

Stop Event

1×	node limit

Counts

4 → 187

Calls

Call 1

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

simplify10.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

187 → 187

Calls

Call 1

Inputs

Outputs

eval516.0ms (19.4%)

Compiler: Compiled 10363 to 7563 computations (27% saved)

prune87.0ms (3.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	624	2	626
Fresh	0	0	0
Picked	1	0	1
Done	3	2	5
Total	628	4	632

Error

Counts

632 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (2.1%)

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))))))))

simplify13.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

62 → 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))

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

Outputs

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

simplify15.0ms (0.6%)

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

51 → 27

Calls

Call 1

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

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

eval14.0ms (0.5%)

Compiler: Compiled 616 to 403 computations (34.6% saved)

prune11.0ms (0.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	66	4	70

Error

Counts

70 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes31.0ms (1.2%)

Accuracy

Total -45.9b remaining (-27342.3%)

Threshold costs -45.9b (-27342.3%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	(*.f64 y 3)
6.0ms	x
6.0ms	(*.f64 y 3)
5.0ms	y
5.0ms	(/.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 87 to 60 computations (31% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

soundness0.0ms (0%)

end17.0ms (0.6%)

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

Details

analyze45.0ms (1.7%)

sample691.0ms (26.1%)

preprocess16.0ms (0.6%)

simplify6.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series6.0ms (0.2%)

rewrite52.0ms (2%)

simplify13.0ms (0.5%)

eval8.0ms (0.3%)

prune10.0ms (0.4%)

localize8.0ms (0.3%)

series3.0ms (0.1%)

rewrite53.0ms (2%)

simplify12.0ms (0.5%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite56.0ms (2.1%)

simplify12.0ms (0.5%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite48.0ms (1.8%)

simplify12.0ms (0.5%)

localize17.0ms (0.6%)

series20.0ms (0.8%)

rewrite382.0ms (14.4%)

simplify122.0ms (4.6%)

localize47.0ms (1.8%)

series64.0ms (2.4%)

rewrite90.0ms (3.4%)

simplify10.0ms (0.4%)

eval516.0ms (19.4%)

prune87.0ms (3.3%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite54.0ms (2.1%)

simplify13.0ms (0.5%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite52.0ms (1.9%)

simplify15.0ms (0.6%)

eval14.0ms (0.5%)

prune11.0ms (0.4%)

regimes31.0ms (1.2%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end17.0ms (0.6%)

Profiling