Details

analyze102.0ms (8.9%)

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
37.5%	62.4%	0.1%	6
50%	43.7%	6.3%	7
59.3%	34.3%	6.3%	8
67.1%	23.4%	9.5%	9
72.6%	18%	9.5%	10
76.9%	12.1%	11%	11
79.8%	9.2%	11%	12
82%	6.1%	11.8%	13
83.6%	4.6%	11.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample663.0ms (58.1%)

Results

645.0ms	8256×	body	128	valid
5.0ms	68×	body	128	invalid

Compiler

Compiled 16 to 12 computations (25% saved)

preprocess15.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`associate-l_binary64`
2×	`associate-r_binary64`
1×	`swap-x-y`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	14	14
2	20	14
3	20	14
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

Inputs
(.f64 (.f64 x 27) y)
(.f64 (.f64 y 27) x)

Outputs
(.f64 (.f64 x 27) y)
(.f64 x (.f64 27 y))
(.f64 (.f64 y 27) x)
(.f64 x (.f64 27 y))

Symmetry

(sort x y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify6.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	17	7
3	19	7

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 (.f64 x 27) y)

Outputs
(.f64 (.f64 x 27) y)
(.f64 x (.f64 27 y))

prune3.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.2b	(.f64 x (.f64 27 y))
	0.3b	(.f64 (.f64 x 27) y)

Compiler

Compiled 40 to 28 computations (30% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 27 y))

series4.0ms (0.4%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(.f64 x (.f64 27 y))
1.0ms	x	@	inf	(.f64 x (.f64 27 y))
1.0ms	x	@	0	(.f64 x (.f64 27 y))
1.0ms	y	@	inf	(.f64 x (.f64 27 y))
0.0ms	x	@	-inf	(.f64 x (.f64 27 y))

rewrite33.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`pow1_binary64`
512×	`add-log-exp_binary64`
512×	`log1p-expm1-u_binary64`
512×	`expm1-log1p-u_binary64`
502×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1394	7

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(.f64 x (.f64 27 y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 27 (.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 27 (.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 27 (.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 27 (.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 27 (.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 27 (.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 27) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 27 (.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 27 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 27 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 27 (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 27 (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 27 (.f64 y x))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 27 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 27 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 27 (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 27 (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 27 (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 27 (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 27) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 27 (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 27 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 27 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 27 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 27 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 27 (*.f64 y x))))))))

simplify9.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	10	168
2	17	168
3	19	168

Stop Event

1×

saturated

Counts

37 → 15

Calls

Call 1

Inputs
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))

Outputs
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))

prune17.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	12	3	15
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	12	5	17

Error

0.0b

Counts

17 → 5

Alt Table

Status	Error	Program
✓	0.2b	(.f64 x (.f64 27 y))
	0.3b	(.f64 (.f64 x 27) y)
	30.5b	(cbrt.f64 (pow.f64 (.f64 27 (.f64 y x)) 3))
	1.1b	(pow.f64 (cbrt.f64 (.f64 27 (.f64 y x))) 3)
▶	0.2b	(.f64 27 (.f64 y x))

Compiler

Compiled 192 to 134 computations (30.2% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 27 (.f64 y x))

series2.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(.f64 27 (.f64 y x))
0.0ms	y	@	inf	(.f64 27 (.f64 y x))
0.0ms	y	@	-inf	(.f64 27 (.f64 y x))
0.0ms	x	@	inf	(.f64 27 (.f64 y x))
0.0ms	x	@	-inf	(.f64 27 (.f64 y x))

rewrite31.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`pow1_binary64`
512×	`add-log-exp_binary64`
512×	`log1p-expm1-u_binary64`
512×	`expm1-log1p-u_binary64`
502×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1394	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 27 (.f64 y x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 27 (.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 27 (.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 27 (.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 27 (.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 27 (.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (.f64 y x) 2) 729))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 27 (.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 27 (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 27 (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 27 (.f64 y x))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 27 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 27 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 27 (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 27 (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 27 (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 y x) 2) 729))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 27 (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 27 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 27 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 27 (*.f64 y x))))))))

simplify6.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

prune8.0ms (0.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	11	5	16

Error

0.0b

Counts

16 → 5

Alt Table

Status	Error	Program
✓	0.2b	(.f64 x (.f64 27 y))
▶	0.3b	(.f64 (.f64 x 27) y)
	30.5b	(cbrt.f64 (pow.f64 (.f64 27 (.f64 y x)) 3))
	1.1b	(pow.f64 (cbrt.f64 (.f64 27 (.f64 y x))) 3)
✓	0.2b	(.f64 27 (.f64 y x))

Compiler

Compiled 155 to 108 computations (30.3% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 x 27) y)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (.f64 x 27) y)
0.0ms	x	@	inf	(.f64 (.f64 x 27) y)
0.0ms	x	@	-inf	(.f64 (.f64 x 27) y)
0.0ms	y	@	inf	(.f64 (.f64 x 27) y)
0.0ms	y	@	-inf	(.f64 (.f64 x 27) y)

rewrite29.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`pow1_binary64`
511×	`add-log-exp_binary64`
511×	`log1p-expm1-u_binary64`
511×	`expm1-log1p-u_binary64`
501×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1392	7

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(.f64 (.f64 x 27) y)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 27 (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 27 (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 27 (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 27 (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 27 (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 27 (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 x 27)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 27 (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 27) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 x 27) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 27 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 27 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 27 (*.f64 x y))))))))

simplify9.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	10	168
2	17	168
3	19	168

Stop Event

1×

saturated

Counts

37 → 15

Calls

Call 1

Inputs
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 y x))

Outputs
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 x (.f64 27 y))

prune8.0ms (0.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	15	5	20

Error

0.0b

Counts

20 → 5

Alt Table

Status	Error	Program
✓	0.2b	(.f64 x (.f64 27 y))
✓	0.3b	(.f64 (.f64 x 27) y)
	30.5b	(cbrt.f64 (pow.f64 (.f64 27 (.f64 y x)) 3))
▶	1.1b	(pow.f64 (cbrt.f64 (.f64 27 (.f64 y x))) 3)
✓	0.2b	(.f64 27 (.f64 y x))

Compiler

Compiled 178 to 125 computations (29.8% saved)

localize5.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(.f64 27 (.f64 y x))
✓	0.6b	(pow.f64 (cbrt.f64 (.f64 27 (.f64 y x))) 3)
✓	11.3b	(cbrt.f64 (.f64 27 (.f64 y x)))

series14.0ms (1.3%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(cbrt.f64 (.f64 27 (.f64 y x)))
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (.f64 27 (.f64 y x))) 3)
2.0ms	y	@	-inf	(cbrt.f64 (.f64 27 (.f64 y x)))
1.0ms	y	@	0	(pow.f64 (cbrt.f64 (.f64 27 (.f64 y x))) 3)
1.0ms	y	@	0	(cbrt.f64 (.f64 27 (.f64 y x)))

rewrite38.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

711×	`pow1_binary64`
666×	`add-log-exp_binary64`
666×	`log1p-expm1-u_binary64`
666×	`expm1-log1p-u_binary64`
78×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	186	16
2	1863	16

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(cbrt.f64 (.f64 27 (.f64 y x)))
(pow.f64 (cbrt.f64 (.f64 27 (.f64 y x))) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (cbrt.f64 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x (*.f64 27 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 27 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 27 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 27 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 27 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 1/6) (pow.f64 (*.f64 x (*.f64 27 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 27 y)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 27 1/3) (cbrt.f64 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 27 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (*.f64 27 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (*.f64 27 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (*.f64 27 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 27 y) 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 27 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 27 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (cbrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 27 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (*.f64 27 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (*.f64 27 y)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 27 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 27 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 x 27))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 27 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) 27)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 27 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 27 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 2) (cbrt.f64 (*.f64 x (*.f64 27 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (cbrt.f64 (*.f64 y x)) 27))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 27 y)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) 27))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 27 y))) (sqrt.f64 (*.f64 x (*.f64 27 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 1/6) (*.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 27 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 2)) 3) (cbrt.f64 (*.f64 x (*.f64 27 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 27 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 27 (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (cbrt.f64 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 27 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 2) 3) (cbrt.f64 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 2) 1) (cbrt.f64 (*.f64 x (*.f64 27 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 27 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 2) (pow.f64 (*.f64 x (*.f64 27 y)) 1/6)) (pow.f64 (*.f64 x (*.f64 27 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 27 y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 27 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 27 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 y x) 2) 729))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 27) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 27 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 27 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 27 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 27 y))))))))

simplify6.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

61 → 61

Calls

Call 1

Inputs

Outputs

prune37.0ms (3.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	71	6	77

Error

0.0b

Counts

77 → 6

Alt Table

Status	Error	Program
✓	0.2b	(.f64 x (.f64 27 y))
	1.2b	(.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (.f64 (cbrt.f64 (.f64 y x)) 27))
✓	0.3b	(.f64 (.f64 x 27) y)
	30.5b	(cbrt.f64 (pow.f64 (.f64 27 (.f64 y x)) 3))
✓	1.1b	(pow.f64 (cbrt.f64 (.f64 27 (.f64 y x))) 3)
✓	0.2b	(.f64 27 (.f64 y x))

Compiler

Compiled 901 to 642 computations (28.7% saved)

regimes23.0ms (2%)

Accuracy

Total 0.4b remaining (94.9%)

Threshold costs 0.4b (94.9%)

Counts

6 → 1

Compiler

Compiled 64 to 40 computations (37.5% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (.f64 27 y))

Outputs
(.f64 x (.f64 27 y))

end61.0ms (5.3%)

Stop Event

1×

fuel

Remove

(sort x y)

Compiler

Compiled 84 to 60 computations (28.6% saved)

Details

analyze102.0ms (8.9%)

sample663.0ms (58.1%)

preprocess15.0ms (1.3%)

simplify6.0ms (0.5%)

prune3.0ms (0.2%)

localize3.0ms (0.3%)

series4.0ms (0.4%)

rewrite33.0ms (2.9%)

simplify9.0ms (0.8%)

prune17.0ms (1.5%)

localize3.0ms (0.3%)

series2.0ms (0.1%)

rewrite31.0ms (2.8%)

simplify6.0ms (0.5%)

prune8.0ms (0.7%)

localize3.0ms (0.3%)

series2.0ms (0.1%)

rewrite29.0ms (2.6%)

simplify9.0ms (0.8%)

prune8.0ms (0.7%)

localize5.0ms (0.5%)

series14.0ms (1.3%)

rewrite38.0ms (3.4%)

simplify6.0ms (0.5%)

prune37.0ms (3.2%)

regimes23.0ms (2%)

simplify2.0ms (0.2%)

end61.0ms (5.3%)

Profiling