Details

analyze74.0ms (4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
53.3%	50%	43.7%	0.1%	6.2%	0%	0%	7
63.3%	59.3%	34.3%	0.1%	6.2%	0%	0%	8
74.1%	67.1%	23.4%	0.1%	9.4%	0%	0%	9
80.2%	72.6%	18%	0.1%	9.4%	0%	0%	10
86.4%	76.9%	12.1%	0.1%	10.9%	0%	0%	11
89.7%	79.8%	9.2%	0.1%	10.9%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample729.0ms (39.8%)

Results

704.0ms	8256×	body	256	valid
13.0ms	168×	body	256	infinite

Bogosity

preprocess5.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

10×	`*-commutative`
6×	`associate-l`
4×	`associate-r`
2×	`swap-x-y`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	13	26
2	19	26
3	19	26
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 9 to 7 computations (22.2% saved)

simplify12.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative`
4×	`associate-l`
2×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	11	13
2	17	13
3	18	13

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Kept	Total
New	3	3
Fresh	1	1
Picked	0	0
Done	0	0
Total	4	4

Error

0.0b

Counts

4 → 3

Alt Table

Click to see full alt table

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1322×	`add-sqr-sqrt`
1304×	`*-un-lft-identity`
1212×	`add-cube-cbrt`
1196×	`add-cbrt-cube`
1184×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	141	13
2	1634	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 27 (.f64 x 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 (sqrt.f64 (.f64 27 (.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 (.f64 x y)) 3) 3)))) (#(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 sqrt.f64 (.f64 (pow.f64 (.f64 x y) 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 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 27 (.f64 x y))))))) (#(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))))))))

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

simplify55.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1020×	`log-prod`
1004×	`distribute-rgt-in`
992×	`distribute-lft-in`
752×	`associate-r`
650×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	455
1	100	455
2	328	455
3	1998	455
4	6828	455

Stop Event

1×	node limit

Counts

35 → 13

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))
(-.f64 (+.f64 1 (.f64 27 (.f64 x y))) 1)
(pow.f64 (.f64 27 (.f64 x y)) 1)
(pow.f64 (sqrt.f64 (.f64 27 (.f64 x y))) 2)
(pow.f64 (.f64 (cbrt.f64 (.f64 x y)) 3) 3)
(pow.f64 (pow.f64 (.f64 27 (.f64 x y)) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 (.f64 x y) 2) 729))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27))
(cbrt.f64 (pow.f64 (.f64 27 (.f64 x y)) 3))
(expm1.f64 (log1p.f64 (.f64 27 (.f64 x y))))
(exp.f64 (log.f64 (.f64 27 (.f64 x y))))
(log1p.f64 (expm1.f64 (.f64 27 (.f64 x y))))

Outputs
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(-.f64 (+.f64 1 (.f64 27 (.f64 x y))) 1)
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(pow.f64 (.f64 27 (.f64 x y)) 1)
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(pow.f64 (sqrt.f64 (.f64 27 (.f64 x y))) 2)
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(pow.f64 (.f64 (cbrt.f64 (.f64 x y)) 3) 3)
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(pow.f64 (pow.f64 (.f64 27 (.f64 x y)) 3) 1/3)
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(sqrt.f64 (.f64 (pow.f64 (.f64 x y) 2) 729))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(cbrt.f64 (pow.f64 (.f64 27 (.f64 x y)) 3))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(expm1.f64 (log1p.f64 (.f64 27 (.f64 x y))))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(exp.f64 (log.f64 (.f64 27 (.f64 x y))))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(log1p.f64 (expm1.f64 (.f64 27 (.f64 x y))))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1322×	`add-sqr-sqrt`
1304×	`*-un-lft-identity`
1212×	`add-cube-cbrt`
1196×	`add-cbrt-cube`
1184×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	141	13
2	1634	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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

Outputs

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

simplify53.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1148×	`log-prod`
1024×	`associate-r`
958×	`distribute-rgt-in`
944×	`distribute-lft-in`
912×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	455
1	91	455
2	353	455
3	2519	455
4	7703	455

Stop Event

1×	node limit

Counts

35 → 12

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))
(-.f64 (+.f64 1 (.f64 x (.f64 27 y))) 1)
(pow.f64 (.f64 x (.f64 27 y)) 1)
(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 27 y))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 27 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (.f64 27 y)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) 27) x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 27 y)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 27 y))))
(exp.f64 (log.f64 (.f64 x (.f64 27 y))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 27 y))))

Outputs
(.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))
(-.f64 (+.f64 1 (.f64 x (.f64 27 y))) 1)
(.f64 27 (.f64 y x))
(pow.f64 (.f64 x (.f64 27 y)) 1)
(.f64 27 (.f64 y x))
(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
(.f64 27 (.f64 y x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 27 y))) 3)
(.f64 27 (.f64 y x))
(pow.f64 (pow.f64 (.f64 x (.f64 27 y)) 3) 1/3)
(.f64 27 (.f64 y x))
(sqrt.f64 (pow.f64 (.f64 x (.f64 27 y)) 2))
(.f64 27 (.f64 y x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) 27) x))
(.f64 27 (.f64 y x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 27 y)) 3))
(.f64 27 (.f64 y x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 27 y))))
(.f64 27 (.f64 y x))
(exp.f64 (log.f64 (.f64 x (.f64 27 y))))
(.f64 27 (.f64 y x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 27 y))))
(.f64 27 (.f64 y x))

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series0.0ms (0%)

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)

rewrite49.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1320×	`add-sqr-sqrt`
1302×	`*-un-lft-identity`
1210×	`add-cube-cbrt`
1194×	`add-cbrt-cube`
1182×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	141	13
2	1632	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify37.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1464×	`distribute-rgt-in`
1454×	`distribute-lft-in`
1134×	`log-prod`
1022×	`associate-r`
906×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	455
1	87	455
2	348	455
3	2564	455

Stop Event

1×	node limit

Counts

35 → 12

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))
(-.f64 (+.f64 1 (.f64 x (.f64 27 y))) 1)
(pow.f64 (.f64 x (.f64 27 y)) 1)
(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 27 y))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 27 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (.f64 27 y)) 2))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 x 27)))
(cbrt.f64 (pow.f64 (.f64 x (.f64 27 y)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 27 y))))
(exp.f64 (log.f64 (.f64 x (.f64 27 y))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 27 y))))

Outputs
(.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))
(-.f64 (+.f64 1 (.f64 x (.f64 27 y))) 1)
(.f64 27 (.f64 y x))
(pow.f64 (.f64 x (.f64 27 y)) 1)
(.f64 27 (.f64 y x))
(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
(.f64 27 (.f64 y x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 27 y))) 3)
(.f64 27 (.f64 y x))
(pow.f64 (pow.f64 (.f64 x (.f64 27 y)) 3) 1/3)
(.f64 27 (.f64 y x))
(sqrt.f64 (pow.f64 (.f64 x (.f64 27 y)) 2))
(.f64 27 (.f64 y x))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 x 27)))
(.f64 27 (.f64 y x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 27 y)) 3))
(.f64 27 (.f64 y x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 27 y))))
(.f64 27 (.f64 y x))
(exp.f64 (log.f64 (.f64 x (.f64 27 y))))
(.f64 27 (.f64 y x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 27 y))))
(.f64 27 (.f64 y x))

eval6.0ms (0.3%)

Compiler: Compiled 277 to 190 computations (31.4% saved)

prune6.0ms (0.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	35	5	40

Error

0.0b

Counts

40 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.3b	(pow.f64 (.f64 (cbrt.f64 (.f64 x y)) 3) 3)
▶	31.2b	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
✓	0.2b	(.f64 (.f64 x 27) y)
✓	0.2b	(.f64 x (.f64 27 y))
✓	0.3b	(.f64 27 (.f64 x y))

Compiler

Compiled 41 to 31 computations (24.4% saved)

localize11.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
	0.2b	(.f64 x (.f64 27 y))
✓	7.7b	(sqrt.f64 (.f64 x (.f64 27 y)))

Compiler

Compiled 28 to 19 computations (32.1% saved)

series9.0ms (0.5%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
1.0ms	x	@	inf	(sqrt.f64 (.f64 x (.f64 27 y)))
1.0ms	y	@	0	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
1.0ms	x	@	0	(sqrt.f64 (.f64 x (.f64 27 y)))

rewrite59.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1790×	`add-sqr-sqrt`
1764×	`*-un-lft-identity`
1644×	`add-cube-cbrt`
1628×	`add-cbrt-cube`
188×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	224	30
2	2287	30

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs
(sqrt.f64 (.f64 x (.f64 27 y)))
(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (*.f64 27 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 27 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 x (*.f64 27 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 1/4) (pow.f64 (*.f64 x (*.f64 27 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 27 y)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 27 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 27 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 27 y)))) (cbrt.f64 (*.f64 x (*.f64 27 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 27 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 27)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (*.f64 27 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 27) 1/2) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 27 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 27 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 27 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 x (*.f64 27 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 x (*.f64 27 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x (*.f64 27 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (*.f64 27 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 27 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 27 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 27 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.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 x (*.f64 27 y))))) (#(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 (*.f64 27 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 27 y)) 1)))) (#(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 1 (*.f64 x (*.f64 27 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 1/4) (*.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 1/4) (sqrt.f64 (*.f64 x (*.f64 27 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 27 y)) (*.f64 (sqrt.f64 (*.f64 27 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 27 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 27 y)) (sqrt.f64 (*.f64 x (*.f64 27 y)))))))) (#(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 (cbrt.f64 (*.f64 x (*.f64 27 y))) (*.f64 (cbrt.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 (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 27 y)) 2) (*.f64 (cbrt.f64 (*.f64 27 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 27 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 27) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 27 y))) (pow.f64 (*.f64 x (*.f64 27 y)) 1/4)) (pow.f64 (*.f64 x (*.f64 27 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x y) 27)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (*.f64 27 y))) (sqrt.f64 (*.f64 27 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 27 y)) 2)) (cbrt.f64 (*.f64 27 y)))))) (#(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 *.f64 (*.f64 (*.f64 27 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 27 y))) (sqrt.f64 x)) (sqrt.f64 (*.f64 27 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 27 y))) (cbrt.f64 (*.f64 x (*.f64 27 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 27 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 27) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 27) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 27 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 expm1.f64 (log1p.f64 (*.f64 x (*.f64 27 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 27 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 27 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 27 y))))))))

simplify54.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1204×	`fma-def`
830×	`unswap-sqr`
674×	`cube-prod`
634×	`log-prod`
632×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	1016
1	292	1016
2	1168	1016
3	4200	1016

Stop Event

1×	node limit

Counts

64 → 70

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 x (.f64 27 y))))) 1)
(.f64 (sqrt.f64 (.f64 x (*.f64 27 y))) 1)
(.f64 1 (sqrt.f64 (.f64 x (*.f64 27 y))))
(.f64 (pow.f64 (.f64 x (.f64 27 y)) 1/4) (pow.f64 (.f64 x (*.f64 27 y)) 1/4))
(.f64 (sqrt.f64 (.f64 27 y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 27 y)))
(.f64 (cbrt.f64 (.f64 x (.f64 27 y))) (cbrt.f64 (sqrt.f64 (.f64 x (*.f64 27 y)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 x (.f64 27 y)))) (cbrt.f64 (.f64 x (*.f64 27 y))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 27 y))) 2)) (sqrt.f64 (cbrt.f64 (.f64 x (*.f64 27 y)))))
(.f64 (sqrt.f64 (.f64 x 27)) (sqrt.f64 y))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 x (*.f64 27 y))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 27 y))) 2) 1/2) (pow.f64 (cbrt.f64 (.f64 x (*.f64 27 y))) 1/2))
(.f64 (pow.f64 (.f64 x 27) 1/2) (sqrt.f64 y))
(pow.f64 (.f64 x (.f64 27 y)) 1/2)
(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 1)
(pow.f64 (pow.f64 (.f64 x (.f64 27 y)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 x (.f64 27 y)))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 27 y)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (.f64 x (.f64 27 y))))
(log.f64 (exp.f64 (sqrt.f64 (.f64 x (.f64 27 y)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 x (.f64 27 y))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 27 y)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 x (.f64 27 y)))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 x (.f64 27 y)))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 27 y))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 27 y)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 x (.f64 27 y)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 27 y)))) 1)
(.f64 x (.f64 27 y))
(.f64 27 (.f64 y x))
(.f64 y (.f64 x 27))
(.f64 (.f64 27 y) x)
(.f64 (.f64 x (*.f64 27 y)) 1)
(.f64 (sqrt.f64 (.f64 x (.f64 27 y))) (sqrt.f64 (.f64 x (*.f64 27 y))))
(.f64 1 (.f64 x (*.f64 27 y)))
(.f64 (pow.f64 (.f64 x (.f64 27 y)) 1/4) (.f64 (pow.f64 (.f64 x (.f64 27 y)) 1/4) (sqrt.f64 (.f64 x (.f64 27 y)))))
(.f64 (sqrt.f64 (.f64 27 y)) (.f64 (sqrt.f64 (.f64 27 y)) x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 27 y)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (.f64 27 y)) (sqrt.f64 (.f64 x (*.f64 27 y)))))
(.f64 (cbrt.f64 (.f64 x (.f64 27 y))) (pow.f64 (cbrt.f64 (.f64 x (*.f64 27 y))) 2))
(.f64 (cbrt.f64 (.f64 x (.f64 27 y))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (.f64 27 y)))) (sqrt.f64 (.f64 x (.f64 27 y)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 27 y))) 2) (cbrt.f64 (.f64 x (*.f64 27 y))))
(.f64 (pow.f64 (cbrt.f64 (.f64 27 y)) 2) (.f64 (cbrt.f64 (.f64 27 y)) x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 27 y)))
(.f64 (.f64 x 27) y)
(.f64 (.f64 (sqrt.f64 (.f64 x (.f64 27 y))) (pow.f64 (.f64 x (.f64 27 y)) 1/4)) (pow.f64 (.f64 x (.f64 27 y)) 1/4))
(.f64 (.f64 x y) 27)
(.f64 (.f64 x (sqrt.f64 (.f64 27 y))) (sqrt.f64 (.f64 27 y)))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 27 y)) 2)) (cbrt.f64 (.f64 27 y)))
(.f64 (.f64 (*.f64 27 y) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (*.f64 27 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (sqrt.f64 (.f64 x (.f64 27 y))) (sqrt.f64 x)) (sqrt.f64 (*.f64 27 y)))
(.f64 (.f64 (sqrt.f64 (.f64 x (.f64 27 y))) (cbrt.f64 (.f64 x (.f64 27 y)))) (cbrt.f64 (sqrt.f64 (.f64 x (.f64 27 y)))))
(.f64 (.f64 (*.f64 x 27) 1) y)
(.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 (*.f64 x 27) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(sqrt.f64 (pow.f64 (.f64 x (.f64 27 y)) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 27 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 27 y)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 27 y)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 27 y))))
(exp.f64 (log.f64 (.f64 x (.f64 27 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 27 y))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 27 y))))

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

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (cbrt.f64 (.f64 x y)) 3)
✓	0.6b	(pow.f64 (.f64 (cbrt.f64 (.f64 x y)) 3) 3)
✓	8.7b	(cbrt.f64 (*.f64 x y))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series9.0ms (0.5%)

Counts

3 → 0

Calls

18 calls:

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

rewrite60.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1794×	`add-sqr-sqrt`
1764×	`*-un-lft-identity`
1656×	`add-cube-cbrt`
1636×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	206	41
2	2352	41

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

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

Outputs

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

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

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

simplify52.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1636×	`associate-+r+`
1492×	`associate-+l+`
1484×	`distribute-rgt-in`
1462×	`distribute-lft-in`
572×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	131	1383
1	272	1339
2	1044	1339
3	2799	1339

Stop Event

1×	node limit

Counts

63 → 78

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x y)))) 1)
(.f64 (cbrt.f64 (.f64 x y)) 1)
(.f64 1 (cbrt.f64 (.f64 x y)))
(.f64 (pow.f64 (.f64 x y) 1/6) (pow.f64 (*.f64 x y) 1/6))
(*.f64 (cbrt.f64 y) (cbrt.f64 x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x y))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 x) (cbrt.f64 y))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x y)))
(.f64 (pow.f64 (sqrt.f64 (.f64 x y)) 1/3) (pow.f64 (sqrt.f64 (*.f64 x y)) 1/3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x y))))
(pow.f64 (*.f64 x y) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x y)) 1)
(pow.f64 (pow.f64 (*.f64 x y) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x y))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 x y)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x y))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x y) 27))) 1)
(.f64 (.f64 x y) 27)
(.f64 (cbrt.f64 (.f64 x y)) (.f64 3 (cbrt.f64 (pow.f64 (.f64 (*.f64 x y) 27) 2))))
(.f64 3 (.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 (pow.f64 (.f64 (*.f64 x y) 27) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 x y)) 3) (cbrt.f64 (pow.f64 (.f64 (*.f64 x y) 27) 2)))
(.f64 (.f64 (*.f64 x y) 27) 1)
(.f64 1 (.f64 (*.f64 x y) 27))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 x y) 27))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 x y) 27))) (cbrt.f64 (pow.f64 (.f64 (.f64 x y) 27) 2))))
(.f64 (sqrt.f64 (.f64 (.f64 x y) 27)) (sqrt.f64 (.f64 (*.f64 x y) 27)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x y) 27) 2))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 x y)) 3)) (cbrt.f64 (pow.f64 (.f64 (.f64 x y) 27) 2))))
(.f64 27 (.f64 x y))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x y) 27) 2)) (.f64 (cbrt.f64 (*.f64 x y)) 3))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x y) 27) 2)) (cbrt.f64 (*.f64 x y))) 3)
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x y) 27) 2)) 3) (cbrt.f64 (*.f64 x y)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x y) 27) 2)) 1) (.f64 (cbrt.f64 (.f64 x y)) 3))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x y) 27) 2)) (cbrt.f64 (sqrt.f64 (.f64 (.f64 x y) 27)))) (cbrt.f64 (sqrt.f64 (.f64 (.f64 x y) 27))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x y) 27) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x y) 27) 2)))) (cbrt.f64 (.f64 (cbrt.f64 (.f64 x y)) 3)))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 x y) 27))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (*.f64 x y) 27))) 3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x y) 27) 2))) 3) (.f64 (cbrt.f64 (*.f64 x y)) 3))
(sqrt.f64 (pow.f64 (.f64 (.f64 x y) 27) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x y) 27))))
(cbrt.f64 (pow.f64 (.f64 (.f64 x y) 27) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 x y) 27)))
(exp.f64 (log.f64 (.f64 (.f64 x y) 27)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x y) 27)) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 x y) 27)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cbrt.f64 (.f64 x y)) 3))) 1)
(pow.f64 (.f64 (cbrt.f64 (.f64 x y)) 3) 1)
(pow.f64 (.f64 (.f64 x y) 27) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 x y) 27))) 2)
(pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 x y)) 3)) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x y) 27) 2)))
(log.f64 (pow.f64 (exp.f64 3) (cbrt.f64 (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cbrt.f64 (.f64 x y)) 3))))
(cbrt.f64 (.f64 (.f64 x y) 27))
(expm1.f64 (log1p.f64 (.f64 (cbrt.f64 (.f64 x y)) 3)))
(exp.f64 (log.f64 (.f64 (cbrt.f64 (.f64 x y)) 3)))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 (*.f64 x y)) 3)) 1))
(log1p.f64 (expm1.f64 (.f64 (cbrt.f64 (.f64 x y)) 3)))

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

eval36.0ms (1.9%)

Compiler: Compiled 1872 to 1252 computations (33.1% saved)

prune24.0ms (1.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	158	2	160
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	158	7	165

Error

0.0b

Counts

165 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.3b	(pow.f64 (.f64 (cbrt.f64 (.f64 x y)) 3) 3)
✓	31.2b	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
▶	14.9b	(.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))
▶	14.9b	(.f64 (.f64 x (sqrt.f64 (.f64 27 y))) (sqrt.f64 (.f64 27 y)))
✓	0.2b	(.f64 (.f64 x 27) y)
✓	0.2b	(.f64 x (.f64 27 y))
✓	0.3b	(.f64 27 (.f64 x y))

Compiler

Compiled 65 to 48 computations (26.2% saved)

localize12.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (*.f64 27 y))
✓	0.2b	(.f64 x (sqrt.f64 (.f64 27 y)))
✓	0.2b	(.f64 (.f64 x (sqrt.f64 (.f64 27 y))) (sqrt.f64 (.f64 27 y)))

Compiler

Compiled 29 to 20 computations (31% saved)

series10.0ms (0.5%)

Counts

3 → 36

Calls

15 calls:

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

rewrite61.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1820×	`add-sqr-sqrt`
1798×	`*-un-lft-identity`
1670×	`add-cube-cbrt`
1644×	`add-cbrt-cube`
190×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	198	41
2	2319	41

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 27 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 27 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 27 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 27 y) 1/4) (pow.f64 (*.f64 27 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 27) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 27))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 27 y))) (*.f64 (cbrt.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 y) 3) (cbrt.f64 (sqrt.f64 (*.f64 27 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 y) 3) 2)) (sqrt.f64 (*.f64 (cbrt.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 27 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 y) 3) 2) 1/2) (pow.f64 (*.f64 (cbrt.f64 y) 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 27 y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 27 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 27 y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 27 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 27 y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 27 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 27 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 27 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 27 y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 27 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 27 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 27 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 27 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 27 y))))))))

simplify53.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1864×	`associate-+r+`
1732×	`associate-+l+`
744×	`unswap-sqr`
468×	`*-commutative`
342×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	1725
1	272	1343
2	991	1335
3	3713	1335

Stop Event

1×	node limit

Counts

87 → 68

Calls

Call 1

Inputs
(.f64 (pow.f64 (sqrt.f64 27) 2) (.f64 y x))
(.f64 (pow.f64 (sqrt.f64 27) 2) (.f64 y x))
(.f64 (pow.f64 (sqrt.f64 27) 2) (.f64 y x))
(.f64 (pow.f64 (sqrt.f64 27) 2) (.f64 y x))
(.f64 (pow.f64 (sqrt.f64 27) 2) (.f64 y x))
(.f64 (pow.f64 (sqrt.f64 27) 2) (.f64 y x))
(.f64 (pow.f64 (sqrt.f64 27) 2) (.f64 y x))
(.f64 (pow.f64 (sqrt.f64 27) 2) (.f64 y x))
(.f64 (pow.f64 (sqrt.f64 27) 2) (.f64 y x))
(.f64 (pow.f64 (sqrt.f64 27) 2) (.f64 y x))
(.f64 (pow.f64 (sqrt.f64 27) 2) (.f64 y x))
(.f64 (pow.f64 (sqrt.f64 27) 2) (.f64 y x))
(.f64 (pow.f64 (sqrt.f64 27) 2) (.f64 y x))
(.f64 (pow.f64 (sqrt.f64 27) 2) (.f64 y x))
(.f64 (pow.f64 (sqrt.f64 27) 2) (.f64 y x))
(.f64 (pow.f64 (sqrt.f64 27) 2) (.f64 y x))
(.f64 (pow.f64 (sqrt.f64 27) 2) (.f64 y x))
(.f64 (pow.f64 (sqrt.f64 27) 2) (.f64 y x))
(.f64 (pow.f64 (sqrt.f64 27) 2) (.f64 y x))
(.f64 (pow.f64 (sqrt.f64 27) 2) (.f64 y x))
(.f64 -1 (.f64 y (*.f64 (pow.f64 (sqrt.f64 -27) 2) x)))
(.f64 -1 (.f64 y (*.f64 (pow.f64 (sqrt.f64 -27) 2) x)))
(.f64 -1 (.f64 y (*.f64 (pow.f64 (sqrt.f64 -27) 2) x)))
(.f64 -1 (.f64 y (*.f64 (pow.f64 (sqrt.f64 -27) 2) x)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 27) x))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 27) x))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 27) x))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 27) x))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 27) x))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 27) x))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 27) x))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 27) x))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 27) x))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 27) x))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 27) x))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 27) x))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x 27) y))) 1)
(pow.f64 (.f64 (.f64 x 27) y) 1)
(pow.f64 (sqrt.f64 (.f64 (.f64 x 27) y)) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) 3)
(pow.f64 (pow.f64 (.f64 (.f64 x 27) y) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (.f64 x 27) y) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 27 y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x 27) y))))
(cbrt.f64 (pow.f64 (.f64 (.f64 x 27) y) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 x 27) y)))
(exp.f64 (log.f64 (.f64 (.f64 x 27) y)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x 27) y)) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 x 27) y)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 (.f64 27 y))))) 1)
(pow.f64 (.f64 x (sqrt.f64 (.f64 27 y))) 1)
(pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 (.f64 27 y)))) 2)
(pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 (.f64 27 y)))) 3)
(pow.f64 (pow.f64 (.f64 x (sqrt.f64 (.f64 27 y))) 3) 1/3)
(sqrt.f64 (.f64 x (.f64 (*.f64 x 27) y)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (*.f64 27 y))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (sqrt.f64 (.f64 27 y))))))
(cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (.f64 27 y))) 3))
(expm1.f64 (log1p.f64 (.f64 x (sqrt.f64 (.f64 27 y)))))
(exp.f64 (log.f64 (.f64 x (sqrt.f64 (.f64 27 y)))))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 (*.f64 27 y)))) 1))
(log1p.f64 (expm1.f64 (.f64 x (sqrt.f64 (.f64 27 y)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 27 y)))) 1)
(.f64 (sqrt.f64 (.f64 27 y)) 1)
(.f64 1 (sqrt.f64 (.f64 27 y)))
(.f64 (pow.f64 (.f64 27 y) 1/4) (pow.f64 (*.f64 27 y) 1/4))
(*.f64 (sqrt.f64 27) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 27))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 27 y))) (*.f64 (cbrt.f64 y) 3))
(.f64 (.f64 (cbrt.f64 y) 3) (cbrt.f64 (sqrt.f64 (*.f64 27 y))))
(.f64 (sqrt.f64 (pow.f64 (.f64 (cbrt.f64 y) 3) 2)) (sqrt.f64 (*.f64 (cbrt.f64 y) 3)))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 27 y)))
(.f64 (pow.f64 (pow.f64 (.f64 (cbrt.f64 y) 3) 2) 1/2) (pow.f64 (*.f64 (cbrt.f64 y) 3) 1/2))
(pow.f64 (*.f64 27 y) 1/2)
(pow.f64 (sqrt.f64 (*.f64 27 y)) 1)
(pow.f64 (pow.f64 (*.f64 27 y) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 27 y))) 3)
(pow.f64 (pow.f64 (*.f64 27 y) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 27 y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 27 y))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 27 y)))))
(cbrt.f64 (pow.f64 (*.f64 27 y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 27 y))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 27 y))))
(exp.f64 (.f64 (log.f64 (.f64 27 y)) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 y))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 27 y))))

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

localize10.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x 27) (sqrt.f64 y))
✓	0.3b	(.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))

Compiler

Compiled 25 to 13 computations (48% saved)

series5.0ms (0.3%)

Counts

2 → 36

Calls

12 calls:

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

rewrite59.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1842×	`add-sqr-sqrt`
1820×	`*-un-lft-identity`
1690×	`add-cube-cbrt`
1666×	`add-cbrt-cube`
192×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	199	30
2	2343	30

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify50.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1314×	`distribute-lft-in`
1262×	`distribute-rgt-in`
1190×	`associate-+r+`
1138×	`associate-+l+`
690×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	912
1	179	912
2	687	912
3	2387	910

Stop Event

1×	node limit

Counts

62 → 33

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 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x)))
(.f64 -27 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x)))
(.f64 -27 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x)))
(.f64 -27 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x)))
(.f64 27 (.f64 (sqrt.f64 y) x))
(.f64 27 (.f64 (sqrt.f64 y) x))
(.f64 27 (.f64 (sqrt.f64 y) x))
(.f64 27 (.f64 (sqrt.f64 y) x))
(.f64 27 (.f64 (sqrt.f64 y) x))
(.f64 27 (.f64 (sqrt.f64 y) x))
(.f64 27 (.f64 (sqrt.f64 y) x))
(.f64 27 (.f64 (sqrt.f64 y) x))
(.f64 27 (.f64 (sqrt.f64 y) x))
(.f64 27 (.f64 (sqrt.f64 y) x))
(.f64 27 (.f64 (sqrt.f64 y) x))
(.f64 27 (.f64 (sqrt.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 27 y)))) 1)
(pow.f64 (.f64 x (.f64 27 y)) 1)
(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 27 y))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 27 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (.f64 27 y)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 27 y)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 27 y)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 27 y))))
(exp.f64 (log.f64 (.f64 x (.f64 27 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 27 y))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 27 y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 27 (sqrt.f64 y))))) 1)
(pow.f64 (.f64 x (.f64 27 (sqrt.f64 y))) 1)
(pow.f64 (sqrt.f64 (.f64 x (.f64 27 (sqrt.f64 y)))) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 27 (sqrt.f64 y)))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 27 (sqrt.f64 y))) 3) 1/3)
(sqrt.f64 (.f64 y (.f64 (*.f64 x x) 729)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) (sqrt.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 27 (sqrt.f64 y))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 27 (sqrt.f64 y))) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 27 (sqrt.f64 y)))))
(exp.f64 (log.f64 (.f64 x (.f64 27 (sqrt.f64 y)))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 27 (sqrt.f64 y)))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 27 (sqrt.f64 y)))))

Outputs
(.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 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x)))
(.f64 27 (.f64 y x))
(.f64 -27 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x)))
(.f64 27 (.f64 y x))
(.f64 -27 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x)))
(.f64 27 (.f64 y x))
(.f64 -27 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x)))
(.f64 27 (.f64 y x))
(.f64 27 (.f64 (sqrt.f64 y) x))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 27 x))
(.f64 27 (.f64 (sqrt.f64 y) x))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 27 x))
(.f64 27 (.f64 (sqrt.f64 y) x))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 27 x))
(.f64 27 (.f64 (sqrt.f64 y) x))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 27 x))
(.f64 27 (.f64 (sqrt.f64 y) x))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 27 x))
(.f64 27 (.f64 (sqrt.f64 y) x))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 27 x))
(.f64 27 (.f64 (sqrt.f64 y) x))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 27 x))
(.f64 27 (.f64 (sqrt.f64 y) x))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 27 x))
(.f64 27 (.f64 (sqrt.f64 y) x))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 27 x))
(.f64 27 (.f64 (sqrt.f64 y) x))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 27 x))
(.f64 27 (.f64 (sqrt.f64 y) x))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 27 x))
(.f64 27 (.f64 (sqrt.f64 y) x))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 27 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 27 y)))) 1)
(.f64 27 (.f64 y x))
(pow.f64 (.f64 x (.f64 27 y)) 1)
(.f64 27 (.f64 y x))
(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
(.f64 27 (.f64 y x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 27 y))) 3)
(.f64 27 (.f64 y x))
(pow.f64 (pow.f64 (.f64 x (.f64 27 y)) 3) 1/3)
(.f64 27 (.f64 y x))
(sqrt.f64 (pow.f64 (.f64 x (.f64 27 y)) 2))
(.f64 27 (.f64 y x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))
(.f64 27 (.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 27 y)))))
(.f64 27 (.f64 y x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 27 y)) 3))
(.f64 27 (.f64 y x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 27 y))))
(.f64 27 (.f64 y x))
(exp.f64 (log.f64 (.f64 x (.f64 27 y))))
(.f64 27 (.f64 y x))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 27 y))) 1))
(.f64 27 (.f64 y x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 27 y))))
(.f64 27 (.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 27 (sqrt.f64 y))))) 1)
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 27 x))
(pow.f64 (.f64 x (.f64 27 (sqrt.f64 y))) 1)
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 27 x))
(pow.f64 (sqrt.f64 (.f64 x (.f64 27 (sqrt.f64 y)))) 2)
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 27 x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 27 (sqrt.f64 y)))) 3)
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 27 x))
(pow.f64 (pow.f64 (.f64 x (.f64 27 (sqrt.f64 y))) 3) 1/3)
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 27 x))
(sqrt.f64 (.f64 y (.f64 (*.f64 x x) 729)))
(sqrt.f64 (.f64 y (.f64 x (*.f64 x 729))))
(fabs.f64 (.f64 (sqrt.f64 y) (.f64 27 x)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) (sqrt.f64 y)))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 27 x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 27 (sqrt.f64 y))))))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 27 x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 27 (sqrt.f64 y))) 3))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 27 x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 27 (sqrt.f64 y)))))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 27 x))
(exp.f64 (log.f64 (.f64 x (.f64 27 (sqrt.f64 y)))))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 27 x))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 27 (sqrt.f64 y)))) 1))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 27 x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 27 (sqrt.f64 y)))))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 27 x))

eval32.0ms (1.7%)

Compiler: Compiled 1650 to 1182 computations (28.4% saved)

prune21.0ms (1.1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	132	7	139

Error

0.0b

Counts

139 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.3b	(pow.f64 (.f64 (cbrt.f64 (.f64 x y)) 3) 3)
✓	31.2b	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
✓	14.9b	(.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))
✓	14.9b	(.f64 (.f64 x (sqrt.f64 (.f64 27 y))) (sqrt.f64 (.f64 27 y)))
✓	0.2b	(.f64 (.f64 x 27) y)
✓	0.2b	(.f64 x (.f64 27 y))
✓	0.3b	(.f64 27 (.f64 x y))

Compiler

Compiled 65 to 48 computations (26.2% saved)

regimes20.0ms (1.1%)

Counts

7 → 1

Calls

Call 1

Inputs
(.f64 27 (.f64 x y))
(.f64 x (.f64 27 y))
(.f64 (.f64 x 27) y)
(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
(pow.f64 (.f64 (cbrt.f64 (.f64 x y)) 3) 3)
(.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 x (sqrt.f64 (.f64 27 y))) (sqrt.f64 (.f64 27 y)))

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

Calls

4 calls:

5.0ms	(.f64 (.f64 x 27) y)
5.0ms	(*.f64 x 27)
4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`(.f64 (.f64 x 27) y)`
0.2b	1	`(*.f64 x 27)`

Compiler

Compiled 71 to 48 computations (32.4% saved)

regimes8.0ms (0.4%)

Accuracy

Total -0.2b remaining (-99.9%)

Threshold costs -0.2b (-99.9%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
3.0ms	y

Results

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	17	39

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

soundness0.0ms (0%)

end20.0ms (1.1%)

Remove: (sort x y)
Compiler: Compiled 31 to 21 computations (32.3% saved)

Details

analyze74.0ms (4%)

sample729.0ms (39.8%)

preprocess5.0ms (0.3%)

simplify12.0ms (0.6%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series3.0ms (0.1%)

rewrite49.0ms (2.7%)

simplify55.0ms (3%)

localize5.0ms (0.3%)

series0.0ms (0%)

rewrite50.0ms (2.7%)

simplify53.0ms (2.9%)

localize5.0ms (0.3%)

series0.0ms (0%)

rewrite49.0ms (2.7%)

simplify37.0ms (2%)

eval6.0ms (0.3%)

prune6.0ms (0.3%)

localize11.0ms (0.6%)

series9.0ms (0.5%)

rewrite59.0ms (3.2%)

simplify54.0ms (3%)

localize9.0ms (0.5%)

series9.0ms (0.5%)

rewrite60.0ms (3.3%)

simplify52.0ms (2.8%)

eval36.0ms (1.9%)

prune24.0ms (1.3%)

localize12.0ms (0.7%)

series10.0ms (0.5%)

rewrite61.0ms (3.3%)

simplify53.0ms (2.9%)

localize10.0ms (0.5%)

series5.0ms (0.3%)

rewrite59.0ms (3.2%)

simplify50.0ms (2.7%)

eval32.0ms (1.7%)

prune21.0ms (1.1%)

regimes20.0ms (1.1%)

regimes8.0ms (0.4%)

simplify4.0ms (0.2%)

soundness0.0ms (0%)

end20.0ms (1.1%)

Profiling