Details

analyze46.0ms (2.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
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)

sample674.0ms (32.6%)

Results

646.0ms	8256×	body	256	valid
15.0ms	165×	body	256	infinite

Bogosity

preprocess5.0ms (0.2%)

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)

simplify11.0ms (0.5%)

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)

prune3.0ms (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

0.04%

Counts

4 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4%	(.f64 (.f64 x 27) y)
▶	0.38%	(.f64 x (.f64 27 y))
▶	0.41%	(.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
✓	0.41%	(.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	y	@	-inf	(.f64 27 (.f64 x y))

rewrite51.0ms (2.5%)

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))))))))

simplify61.0ms (2.9%)

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))

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.38%	(.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	y	@	-inf	(.f64 x (.f64 27 y))
0.0ms	x	@	-inf	(.f64 x (.f64 27 y))

rewrite50.0ms (2.4%)

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))))))))

simplify57.0ms (2.8%)

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 (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4%	(.f64 (.f64 x 27) y)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 (.f64 x 27) y)
0.0ms	x	@	0	(.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 (2.4%)

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))))))))

simplify40.0ms (1.9%)

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))

eval7.0ms (0.3%)

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

prune5.0ms (0.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	34	6	40

Error

0.01%

Counts

40 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.03%	(pow.f64 (.f64 (cbrt.f64 (.f64 x y)) 3) 3)
▶	39.92%	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
▶	1.8%	(pow.f64 (cbrt.f64 (.f64 x (.f64 27 y))) 3)
✓	0.4%	(.f64 (.f64 x 27) y)
✓	0.38%	(.f64 x (.f64 27 y))
✓	0.41%	(.f64 27 (.f64 x y))

Compiler

Compiled 51 to 39 computations (23.5% saved)

localize12.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.38%	(.f64 x (.f64 27 y))
✓	0.98%	(pow.f64 (cbrt.f64 (.f64 x (.f64 27 y))) 3)
✓	11.39%	(cbrt.f64 (.f64 x (.f64 27 y)))

Compiler

Compiled 28 to 19 computations (32.1% saved)

series7.0ms (0.3%)

Counts

2 → 0

Calls

12 calls:

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

rewrite64.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1802×	`add-sqr-sqrt`
1768×	`*-un-lft-identity`
1664×	`add-cube-cbrt`
1644×	`add-cbrt-cube`
184×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	226	30
2	2334	30

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

simplify61.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1126×	`unswap-sqr`
998×	`cube-prod`
928×	`log-prod`
668×	`fabs-mul`
658×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	140	1100
1	305	1100
2	1098	1100
3	4086	1082

Stop Event

1×	node limit

Counts

66 → 76

Calls

Call 1

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

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

localize11.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.38%	(.f64 x (.f64 27 y))
✓	0.38%	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
✓	10.78%	(sqrt.f64 (.f64 x (.f64 27 y)))

Compiler

Compiled 28 to 19 computations (32.1% saved)

series9.0ms (0.4%)

Counts

2 → 0

Calls

12 calls:

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

rewrite62.0ms (3%)

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))))))))

simplify59.0ms (2.9%)

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))

localize10.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.43%	(.f64 (cbrt.f64 (.f64 x y)) 3)
✓	0.98%	(pow.f64 (.f64 (cbrt.f64 (.f64 x y)) 3) 3)
✓	11.52%	(cbrt.f64 (*.f64 x y))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series6.0ms (0.3%)

Counts

3 → 0

Calls

18 calls:

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

rewrite65.0ms (3.2%)

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)))))))

simplify56.0ms (2.7%)

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)

eval204.0ms (9.9%)

Compiler: Compiled 2904 to 2011 computations (30.8% saved)

prune34.0ms (1.7%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	247	1	248
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	247	7	254

Error

Counts

254 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.03%	(pow.f64 (.f64 (cbrt.f64 (.f64 x y)) 3) 3)
✓	39.92%	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
✓	1.8%	(pow.f64 (cbrt.f64 (.f64 x (.f64 27 y))) 3)
▶	33.32%	(.f64 (.f64 (.f64 x 27) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
✓	0.4%	(.f64 (.f64 x 27) y)
✓	0.38%	(.f64 x (.f64 27 y))
✓	0.41%	(.f64 27 (.f64 x y))

Compiler

Compiled 64 to 48 computations (25% saved)

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.52%	(.f64 (.f64 (.f64 x 27) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
✓	0.56%	(.f64 (.f64 x 27) (cbrt.f64 (*.f64 y y)))
✓	0.92%	(cbrt.f64 y)
✓	40.6%	(cbrt.f64 (*.f64 y y))

Compiler

Compiled 36 to 15 computations (58.3% saved)

series14.0ms (0.7%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(.f64 (.f64 x 27) (cbrt.f64 (*.f64 y y)))
2.0ms	x	@	0	(.f64 (.f64 x 27) (cbrt.f64 (*.f64 y y)))
2.0ms	y	@	-inf	(.f64 (.f64 (.f64 x 27) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
2.0ms	x	@	0	(.f64 (.f64 (.f64 x 27) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
2.0ms	y	@	0	(.f64 (.f64 (.f64 x 27) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))

rewrite77.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1040×	`*-commutative`
928×	`sqrt-prod`
824×	`unswap-sqr`
664×	`swap-sqr`
414×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	235	52
2	2743	52

Stop Event

1×	node limit

Counts

4 → 112

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 y) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 y 1/6) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 y) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 y)) (.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 4))) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) 3) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (cbrt.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 y)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 4) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 y (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 y) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 y) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 y) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 y 1/6) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 y)) (sqrt.f64 (.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 y 1/12) (pow.f64 y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 y 1/4) (pow.f64 y 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) (pow.f64 (cbrt.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 y) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 y) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 y 1/6)) 3) (pow.f64 (cbrt.f64 (pow.f64 y 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 (cbrt.f64 y)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) (exp.f64 (log1p.f64 (cbrt.f64 y)))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) (exp.f64 (log1p.f64 (cbrt.f64 y)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y y) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 y) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (cbrt.f64 y)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 4) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)))) (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)))) (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 y) (sqrt.f64 (.f64 x 27))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cbrt.f64 y) (sqrt.f64 (.f64 x 27))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 y y) (pow.f64 (.f64 x 27) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (cbrt.f64 y) (sqrt.f64 (.f64 x 27))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)) (.f64 x 27)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 y y) (pow.f64 (.f64 x 27) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 y) 2/3) (log.f64 (.f64 x 27))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 x 27)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 x 27)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 x 27)))) (exp.f64 (log1p.f64 (.f64 y (.f64 x 27))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 x 27)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 x 27)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 x 27)))) (exp.f64 (log1p.f64 (.f64 y (.f64 x 27))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 x 27)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (.f64 x 27)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y (.f64 x 27))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y (.f64 x 27))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (.f64 x 27)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (.f64 x 27)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 y (.f64 x 27)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 y (.f64 x 27)))))) (#(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 y (.f64 x 27)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y (.f64 x 27)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y (.f64 x 27))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y (.f64 x 27))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y (*.f64 x 27))))))))

simplify65.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

946×	`distribute-rgt-in`
944×	`distribute-lft-in`
844×	`times-frac`
598×	`associate-/l*`
566×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	256	4294969694
1	638	2358
2	2633	2324

Stop Event

1×	node limit

Counts

148 → 139

Calls

Call 1

Inputs
(.f64 27 (.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) x))
(.f64 27 (.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) x))
(.f64 27 (.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) x))
(.f64 27 (.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) x))
(.f64 27 (.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) x))
(.f64 27 (.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) x))
(.f64 27 (.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) x))
(.f64 27 (.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) x))
(.f64 27 (.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) x))
(.f64 27 (.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) x))
(.f64 27 (.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) x))
(.f64 27 (.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) 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 (*.f64 (cbrt.f64 -1) x)))
(.f64 -27 (.f64 y (*.f64 (cbrt.f64 -1) x)))
(.f64 -27 (.f64 y (*.f64 (cbrt.f64 -1) x)))
(.f64 -27 (.f64 y (*.f64 (cbrt.f64 -1) x)))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) -1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) 1)
(*.f64 (pow.f64 (cbrt.f64 y) 2) 1)
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
(*.f64 1 (pow.f64 (cbrt.f64 y) 2))
(*.f64 (pow.f64 y 1/6) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (pow.f64 y 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 4))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 y))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))
(.f64 (cbrt.f64 (cbrt.f64 y)) (.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))
(.f64 (.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (cbrt.f64 y)))
(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (pow.f64 (cbrt.f64 y) 2))
(.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (pow.f64 (cbrt.f64 y) 2))
(.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 4))) (cbrt.f64 (cbrt.f64 y)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) 3) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) 3))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) 1))))
(pow.f64 y 2/3)
(pow.f64 (*.f64 y y) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 y) 2) 1)
(pow.f64 (cbrt.f64 y) 2)
(pow.f64 (pow.f64 y 1/6) 4)
(pow.f64 (*.f64 y (cbrt.f64 y)) 1/2)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) 3)
(pow.f64 (cbrt.f64 (cbrt.f64 y)) 6)
(pow.f64 (pow.f64 y 4) 1/6)
(sqrt.f64 (*.f64 y (cbrt.f64 y)))
(fabs.f64 (pow.f64 (cbrt.f64 y) 2))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 y) 2))))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2)))
(exp.f64 (*.f64 (log.f64 y) 2/3))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 y) 2)))
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) -1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1)
(*.f64 (cbrt.f64 y) 1)
(.f64 (cbrt.f64 y) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 1 (cbrt.f64 y))
(*.f64 (pow.f64 y 1/6) (pow.f64 y 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))
(.f64 (cbrt.f64 (cbrt.f64 y)) (sqrt.f64 (.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 y)))))
(*.f64 (pow.f64 y 1/12) (pow.f64 y 1/4))
(*.f64 (pow.f64 y 1/4) (pow.f64 y 1/12))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 y))
(.f64 (fabs.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 y))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) (pow.f64 (cbrt.f64 y) 1/6))
(.f64 (sqrt.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 y) 1/6) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 y))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y 1/6)) 3) (pow.f64 (cbrt.f64 (pow.f64 y 1/6)) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 (cbrt.f64 y)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 y))) 3))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) (exp.f64 (log1p.f64 (cbrt.f64 y)))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) (exp.f64 (log1p.f64 (cbrt.f64 y)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1))))
(pow.f64 y 1/3)
(pow.f64 (*.f64 y y) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)
(pow.f64 (cbrt.f64 y) 1)
(pow.f64 (pow.f64 y 1/6) 2)
(pow.f64 (sqrt.f64 y) 2/3)
(pow.f64 (*.f64 y (cbrt.f64 y)) 1/4)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 y)) 3)
(pow.f64 (pow.f64 y 4) 1/12)
(sqrt.f64 (pow.f64 (cbrt.f64 y) 2))
(fabs.f64 (cbrt.f64 y))
(fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 y)))))
(fabs.f64 (neg.f64 (cbrt.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 y))))
(expm1.f64 (log1p.f64 (cbrt.f64 y)))
(exp.f64 (log.f64 (cbrt.f64 y)))
(log1p.f64 (expm1.f64 (cbrt.f64 y)))
(+.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)))) -1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)))) (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 x 27)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)))) (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)))) 1))))
(pow.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)) 1)
(pow.f64 (.f64 (cbrt.f64 y) (sqrt.f64 (.f64 x 27))) 2)
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27))) 3)
(pow.f64 (pow.f64 (.f64 (cbrt.f64 y) (sqrt.f64 (.f64 x 27))) 4) 1/2)
(pow.f64 (.f64 (.f64 y y) (pow.f64 (*.f64 x 27) 3)) 1/3)
(sqrt.f64 (pow.f64 (.f64 (cbrt.f64 y) (sqrt.f64 (.f64 x 27))) 4))
(fabs.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 x 27)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)))))
(cbrt.f64 (.f64 (.f64 y y) (pow.f64 (*.f64 x 27) 3)))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27))))
(exp.f64 (+.f64 (.f64 (log.f64 y) 2/3) (log.f64 (.f64 x 27))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27))))
(+.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 x 27)))) -1)
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 x 27)))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 x 27)))) (exp.f64 (log1p.f64 (.f64 y (.f64 x 27))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 y (*.f64 x 27)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 x 27)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 x 27)))) (exp.f64 (log1p.f64 (.f64 y (.f64 x 27))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 x 27)))) 1))))
(pow.f64 (.f64 y (.f64 x 27)) 1)
(pow.f64 (sqrt.f64 (.f64 y (.f64 x 27))) 2)
(pow.f64 (cbrt.f64 (.f64 y (.f64 x 27))) 3)
(pow.f64 (pow.f64 (.f64 y (.f64 x 27)) 2) 1/2)
(pow.f64 (pow.f64 (.f64 y (.f64 x 27)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 y (.f64 x 27)) 2))
(fabs.f64 (.f64 y (.f64 x 27)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 x 27)))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 x 27)) 3))
(expm1.f64 (log1p.f64 (.f64 y (.f64 x 27))))
(exp.f64 (log.f64 (.f64 y (.f64 x 27))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 x 27))))

Outputs
(.f64 27 (.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) x))
(.f64 27 (.f64 (cbrt.f64 (*.f64 y y)) x))
(.f64 27 (.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) x))
(.f64 27 (.f64 (cbrt.f64 (*.f64 y y)) x))
(.f64 27 (.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) x))
(.f64 27 (.f64 (cbrt.f64 (*.f64 y y)) x))
(.f64 27 (.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) x))
(.f64 27 (.f64 (cbrt.f64 (*.f64 y y)) x))
(.f64 27 (.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) x))
(.f64 27 (.f64 (cbrt.f64 (*.f64 y y)) x))
(.f64 27 (.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) x))
(.f64 27 (.f64 (cbrt.f64 (*.f64 y y)) x))
(.f64 27 (.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) x))
(.f64 27 (.f64 (cbrt.f64 (*.f64 y y)) x))
(.f64 27 (.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) x))
(.f64 27 (.f64 (cbrt.f64 (*.f64 y y)) x))
(.f64 27 (.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) x))
(.f64 27 (.f64 (cbrt.f64 (*.f64 y y)) x))
(.f64 27 (.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) x))
(.f64 27 (.f64 (cbrt.f64 (*.f64 y y)) x))
(.f64 27 (.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) x))
(.f64 27 (.f64 (cbrt.f64 (*.f64 y y)) x))
(.f64 27 (.f64 (pow.f64 (*.f64 1 (pow.f64 y 2)) 1/3) x))
(.f64 27 (.f64 (cbrt.f64 (*.f64 y y)) 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 (*.f64 (cbrt.f64 -1) x)))
(.f64 -27 (.f64 y (*.f64 x (cbrt.f64 -1))))
(.f64 (.f64 x (cbrt.f64 -1)) (*.f64 y -27))
(.f64 -27 (.f64 y (*.f64 (cbrt.f64 -1) x)))
(.f64 -27 (.f64 y (*.f64 x (cbrt.f64 -1))))
(.f64 (.f64 x (cbrt.f64 -1)) (*.f64 y -27))
(.f64 -27 (.f64 y (*.f64 (cbrt.f64 -1) x)))
(.f64 -27 (.f64 y (*.f64 x (cbrt.f64 -1))))
(.f64 (.f64 x (cbrt.f64 -1)) (*.f64 y -27))
(.f64 -27 (.f64 y (*.f64 (cbrt.f64 -1) x)))
(.f64 -27 (.f64 y (*.f64 x (cbrt.f64 -1))))
(.f64 (.f64 x (cbrt.f64 -1)) (*.f64 y -27))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) -1)
(pow.f64 (cbrt.f64 y) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) 1)
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (pow.f64 (cbrt.f64 y) 2) 1)
(pow.f64 (cbrt.f64 y) 2)
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 1 (pow.f64 (cbrt.f64 y) 2))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (pow.f64 y 1/6) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (pow.f64 y 1/6))
(*.f64 (pow.f64 y 1/6) (sqrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 4))
(pow.f64 (cbrt.f64 y) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 y))))
(pow.f64 (cbrt.f64 y) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))
(pow.f64 (cbrt.f64 y) 2)
(.f64 (cbrt.f64 (cbrt.f64 y)) (.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))
(pow.f64 (cbrt.f64 y) 2)
(.f64 (.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (cbrt.f64 y)))
(pow.f64 (cbrt.f64 y) 2)
(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))
(pow.f64 (cbrt.f64 y) 2)
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (pow.f64 (cbrt.f64 y) 2))
(pow.f64 (cbrt.f64 y) 2)
(.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (pow.f64 (cbrt.f64 y) 2))
(pow.f64 (cbrt.f64 y) 2)
(.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 4))) (cbrt.f64 (cbrt.f64 y)))
(pow.f64 (cbrt.f64 y) 2)
(.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) 3) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) 3))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) 3))
(pow.f64 (cbrt.f64 y) 2)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) 1))
(pow.f64 (cbrt.f64 y) 2)
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2)) (log1p.f64 (pow.f64 (cbrt.f64 y) 2)))) (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) (exp.f64 (*.f64 2 (log1p.f64 (pow.f64 (cbrt.f64 y) 2)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (pow.f64 (cbrt.f64 y) 2)))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) (pow.f64 (exp.f64 2) (log1p.f64 (pow.f64 (cbrt.f64 y) 2))))))
(pow.f64 y 2/3)
(pow.f64 (cbrt.f64 y) 2)
(pow.f64 (*.f64 y y) 1/3)
(cbrt.f64 (*.f64 y y))
(pow.f64 (pow.f64 (cbrt.f64 y) 2) 1)
(pow.f64 (cbrt.f64 y) 2)
(pow.f64 (cbrt.f64 y) 2)
(pow.f64 (pow.f64 y 1/6) 4)
(pow.f64 (cbrt.f64 y) 2)
(pow.f64 (*.f64 y (cbrt.f64 y)) 1/2)
(sqrt.f64 (*.f64 y (cbrt.f64 y)))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) 3)
(pow.f64 (cbrt.f64 y) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 y)) 6)
(pow.f64 (cbrt.f64 y) 2)
(pow.f64 (pow.f64 y 4) 1/6)
(sqrt.f64 (*.f64 y (cbrt.f64 y)))
(fabs.f64 (pow.f64 (cbrt.f64 y) 2))
(pow.f64 (cbrt.f64 y) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)))
(pow.f64 (cbrt.f64 y) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 y) 2))))
(pow.f64 (cbrt.f64 y) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2)))
(pow.f64 (cbrt.f64 y) 2)
(exp.f64 (*.f64 (log.f64 y) 2/3))
(pow.f64 (cbrt.f64 y) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 y) 2)))
(pow.f64 (cbrt.f64 y) 2)
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) -1)
(cbrt.f64 y)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1)
(cbrt.f64 y)
(*.f64 (cbrt.f64 y) 1)
(cbrt.f64 y)
(.f64 (cbrt.f64 y) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(cbrt.f64 y)
(*.f64 1 (cbrt.f64 y))
(cbrt.f64 y)
(*.f64 (pow.f64 y 1/6) (pow.f64 y 1/6))
(cbrt.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (cbrt.f64 y)))
(cbrt.f64 y)
(*.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))
(cbrt.f64 y)
(.f64 (cbrt.f64 (cbrt.f64 y)) (sqrt.f64 (.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 y)))))
(cbrt.f64 y)
(*.f64 (pow.f64 y 1/12) (pow.f64 y 1/4))
(*.f64 (pow.f64 y 1/4) (pow.f64 y 1/12))
(*.f64 (pow.f64 y 1/12) (pow.f64 y 1/4))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 y))
(cbrt.f64 y)
(.f64 (fabs.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 y))
(cbrt.f64 y)
(.f64 (sqrt.f64 (.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) (pow.f64 (cbrt.f64 y) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 5)) (pow.f64 (cbrt.f64 y) 1/6))
(.f64 (sqrt.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 y))
(cbrt.f64 y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 y) 1/6) 3))
(cbrt.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 y))) 3))
(cbrt.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y 1/6)) 3) (pow.f64 (cbrt.f64 (pow.f64 y 1/6)) 3))
(cbrt.f64 y)
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 (cbrt.f64 y)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 y))) 3))
(cbrt.f64 y)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) (exp.f64 (log1p.f64 (cbrt.f64 y)))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1))
(cbrt.f64 y)
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) (exp.f64 (log1p.f64 (cbrt.f64 y)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (cbrt.f64 y)) (log1p.f64 (cbrt.f64 y)))) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 y))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) (exp.f64 (*.f64 2 (log1p.f64 (cbrt.f64 y)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (cbrt.f64 y)))) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (cbrt.f64 y))))))
(pow.f64 y 1/3)
(cbrt.f64 y)
(pow.f64 (*.f64 y y) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)
(cbrt.f64 y)
(pow.f64 (cbrt.f64 y) 1)
(cbrt.f64 y)
(pow.f64 (pow.f64 y 1/6) 2)
(cbrt.f64 y)
(pow.f64 (sqrt.f64 y) 2/3)
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 (*.f64 y (cbrt.f64 y)) 1/4)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 y)) 3)
(cbrt.f64 y)
(pow.f64 (pow.f64 y 4) 1/12)
(sqrt.f64 (pow.f64 (cbrt.f64 y) 2))
(cbrt.f64 y)
(fabs.f64 (cbrt.f64 y))
(cbrt.f64 y)
(fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 y)))))
(cbrt.f64 y)
(fabs.f64 (neg.f64 (cbrt.f64 y)))
(cbrt.f64 y)
(log.f64 (exp.f64 (cbrt.f64 y)))
(cbrt.f64 y)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 y))))
(cbrt.f64 y)
(expm1.f64 (log1p.f64 (cbrt.f64 y)))
(cbrt.f64 y)
(exp.f64 (log.f64 (cbrt.f64 y)))
(cbrt.f64 y)
(log1p.f64 (expm1.f64 (cbrt.f64 y)))
(cbrt.f64 y)
(+.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)))) -1)
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 27 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)))) 1)
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 27 x))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)))) (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 x 27)))) 1))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 27 x))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)))) (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 27 x)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 27 x))) (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 27 x))))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 27 x)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 27 x)))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 27 x)))) (exp.f64 (.f64 2 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 27 x))))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 27 x))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 27 x)))) (pow.f64 (exp.f64 2) (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 27 x)))))))
(pow.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)) 1)
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 27 x))
(pow.f64 (.f64 (cbrt.f64 y) (sqrt.f64 (.f64 x 27))) 2)
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 27 x))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27))) 3)
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 27 x))
(pow.f64 (pow.f64 (.f64 (cbrt.f64 y) (sqrt.f64 (.f64 x 27))) 4) 1/2)
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 27 x))
(pow.f64 (.f64 (.f64 y y) (pow.f64 (*.f64 x 27) 3)) 1/3)
(cbrt.f64 (.f64 (.f64 y y) (*.f64 (pow.f64 x 3) 19683)))
(cbrt.f64 (.f64 y (.f64 y (*.f64 (pow.f64 x 3) 19683))))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 19683 (*.f64 y y))))
(sqrt.f64 (pow.f64 (.f64 (cbrt.f64 y) (sqrt.f64 (.f64 x 27))) 4))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 27 x))
(fabs.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 27 x))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 x 27)))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 27 x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27)))))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 27 x))
(cbrt.f64 (.f64 (.f64 y y) (pow.f64 (*.f64 x 27) 3)))
(cbrt.f64 (.f64 (.f64 y y) (*.f64 (pow.f64 x 3) 19683)))
(cbrt.f64 (.f64 y (.f64 y (*.f64 (pow.f64 x 3) 19683))))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 19683 (*.f64 y y))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27))))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 27 x))
(exp.f64 (+.f64 (.f64 (log.f64 y) 2/3) (log.f64 (.f64 x 27))))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 27 x))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x 27))))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 27 x))
(+.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 x 27)))) -1)
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 x 27)))) 1)
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 x 27)))) (exp.f64 (log1p.f64 (.f64 y (.f64 x 27))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 y (*.f64 x 27)))) 1))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 x 27)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 x 27)))) (exp.f64 (log1p.f64 (.f64 y (.f64 x 27))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 x 27)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 27 (.f64 y x)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (.f64 27 (.f64 y x))) (log1p.f64 (.f64 27 (.f64 y x))))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 27 (.f64 y x)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 27 (.f64 y x)))) 3)) (+.f64 (exp.f64 (log1p.f64 (.f64 27 (.f64 y x)))) (+.f64 1 (exp.f64 (.f64 2 (log1p.f64 (.f64 27 (*.f64 y x))))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (.f64 y (.f64 27 x))))) (+.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 27 x)))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (.f64 y (*.f64 27 x)))))))
(pow.f64 (.f64 y (.f64 x 27)) 1)
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(pow.f64 (sqrt.f64 (.f64 y (.f64 x 27))) 2)
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(pow.f64 (cbrt.f64 (.f64 y (.f64 x 27))) 3)
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(pow.f64 (pow.f64 (.f64 y (.f64 x 27)) 2) 1/2)
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(pow.f64 (pow.f64 (.f64 y (.f64 x 27)) 3) 1/3)
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(sqrt.f64 (pow.f64 (.f64 y (.f64 x 27)) 2))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(fabs.f64 (.f64 y (.f64 x 27)))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 x 27)))))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(cbrt.f64 (pow.f64 (.f64 y (.f64 x 27)) 3))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(expm1.f64 (log1p.f64 (.f64 y (.f64 x 27))))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(exp.f64 (log.f64 (.f64 y (.f64 x 27))))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))
(log1p.f64 (expm1.f64 (.f64 y (.f64 x 27))))
(.f64 27 (.f64 y x))
(.f64 y (.f64 27 x))

eval39.0ms (1.9%)

Compiler: Compiled 2404 to 1433 computations (40.4% saved)

prune21.0ms (1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	139	7	146

Error

Counts

146 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.03%	(pow.f64 (.f64 (cbrt.f64 (.f64 x y)) 3) 3)
✓	39.92%	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
✓	1.8%	(pow.f64 (cbrt.f64 (.f64 x (.f64 27 y))) 3)
✓	33.32%	(.f64 (.f64 (.f64 x 27) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
✓	0.4%	(.f64 (.f64 x 27) y)
✓	0.38%	(.f64 x (.f64 27 y))
✓	0.41%	(.f64 27 (.f64 x y))

Compiler

Compiled 64 to 48 computations (25% saved)

regimes22.0ms (1.1%)

Accuracy

Total -36.4b remaining (-15022.7%)

Threshold costs -36.4b (-15022.7%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
0.38%	1	`x`
0.38%	1	`y`
0.38%	1	`(.f64 (.f64 x 27) y)`
0.38%	1	`(*.f64 x 27)`

Compiler

Compiled 70 to 48 computations (31.4% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	13	26

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

soundness12.0ms (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

Compiler

Compiled 12 to 8 computations (33.3% saved)

end54.0ms (2.6%)

Compiler: Compiled 26 to 18 computations (30.8% saved)

Details

analyze46.0ms (2.2%)

sample674.0ms (32.6%)

preprocess5.0ms (0.2%)

simplify11.0ms (0.5%)

eval1.0ms (0%)

prune3.0ms (0.1%)

localize4.0ms (0.2%)

series3.0ms (0.1%)

rewrite51.0ms (2.5%)

simplify61.0ms (2.9%)

localize7.0ms (0.3%)

series0.0ms (0%)

rewrite50.0ms (2.4%)

simplify57.0ms (2.8%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite49.0ms (2.4%)

simplify40.0ms (1.9%)

eval7.0ms (0.3%)

prune5.0ms (0.3%)

localize12.0ms (0.6%)

series7.0ms (0.3%)

rewrite64.0ms (3.1%)

simplify61.0ms (3%)

localize11.0ms (0.6%)

series9.0ms (0.4%)

rewrite62.0ms (3%)

simplify59.0ms (2.9%)

localize10.0ms (0.5%)

series6.0ms (0.3%)

rewrite65.0ms (3.2%)

simplify56.0ms (2.7%)

eval204.0ms (9.9%)

prune34.0ms (1.7%)

localize13.0ms (0.6%)

series14.0ms (0.7%)

rewrite77.0ms (3.7%)

simplify65.0ms (3.2%)

eval39.0ms (1.9%)

prune21.0ms (1%)

regimes22.0ms (1.1%)

simplify4.0ms (0.2%)

soundness12.0ms (0.6%)

end54.0ms (2.6%)

Profiling