Details

analyze46.0ms (1.8%)

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)

sample858.0ms (33.2%)

Results

836.0ms	8256×	body	256	valid
12.0ms	167×	body	256	infinite

Bogosity

preprocess15.0ms (0.6%)

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 (0.4%)

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)

prune1.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Error

0.0b

Counts

4 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(.f64 (.f64 x 27) y)
▶	0.2b	(.f64 x (.f64 27 y))
▶	0.3b	(.f64 27 (.f64 x y))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series29.0ms (1.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	y	@	inf	(.f64 27 (.f64 x y))
1.0ms	y	@	0	(.f64 27 (.f64 x y))
1.0ms	x	@	inf	(.f64 27 (.f64 x y))
1.0ms	x	@	0	(.f64 27 (.f64 x y))
0.0ms	y	@	-inf	(.f64 27 (.f64 x y))

rewrite48.0ms (1.9%)

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))))))))

simplify58.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

35 → 13

Calls

Call 1

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

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

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series1.0ms (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))

rewrite49.0ms (1.9%)

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))))))))

simplify60.0ms (2.3%)

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
✓	0.4b	(.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	@	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	x	@	-inf	(.f64 (.f64 x 27) y)
0.0ms	y	@	-inf	(.f64 (.f64 x 27) y)

rewrite52.0ms (2%)

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))))))))

simplify41.0ms (1.6%)

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 (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

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

Error

0.0b

Counts

40 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.3b	(pow.f64 (.f64 (cbrt.f64 (.f64 x y)) 3) 3)
▶	25.8b	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
✓	0.4b	(.f64 (.f64 x 27) y)
✓	0.2b	(.f64 x (.f64 27 y))
✓	0.3b	(.f64 27 (.f64 x y))

Compiler

Compiled 41 to 31 computations (24.4% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
	0.2b	(.f64 x (.f64 27 y))
✓	8.1b	(sqrt.f64 (.f64 x (.f64 27 y)))

Compiler

Compiled 28 to 19 computations (32.1% saved)

series18.0ms (0.7%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(sqrt.f64 (.f64 x (.f64 27 y)))
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
1.0ms	x	@	0	(sqrt.f64 (.f64 x (.f64 27 y)))
1.0ms	y	@	0	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)

rewrite62.0ms (2.4%)

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))))))))

simplify56.0ms (2.2%)

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 (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (cbrt.f64 (.f64 x y)) 3)
✓	0.7b	(pow.f64 (.f64 (cbrt.f64 (.f64 x y)) 3) 3)
✓	8.5b	(cbrt.f64 (*.f64 x y))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series15.0ms (0.6%)

Counts

3 → 0

Calls

18 calls:

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

rewrite64.0ms (2.5%)

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)))))))

simplify51.0ms (2%)

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)

eval41.0ms (1.6%)

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

prune24.0ms (0.9%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	157	3	160
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	157	8	165

Error

Counts

165 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.3b	(pow.f64 (.f64 (cbrt.f64 (.f64 x y)) 3) 3)
✓	25.8b	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
▶	17.6b	(.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))
▶	1.1b	(.f64 (.f64 (*.f64 27 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
▶	17.3b	(.f64 (.f64 x (sqrt.f64 (.f64 27 y))) (sqrt.f64 (.f64 27 y)))
✓	0.4b	(.f64 (.f64 x 27) y)
✓	0.2b	(.f64 x (.f64 27 y))
✓	0.3b	(.f64 27 (.f64 x y))

Compiler

Compiled 78 to 57 computations (26.9% saved)

localize13.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 29 to 20 computations (31% saved)

series13.0ms (0.5%)

Counts

3 → 36

Calls

15 calls:

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

rewrite67.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

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

Outputs

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

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

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

simplify51.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

87 → 68

Calls

Call 1

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

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

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (.f64 (*.f64 27 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
✓	0.4b	(.f64 (.f64 27 y) (pow.f64 (cbrt.f64 x) 2))
✓	0.5b	(cbrt.f64 x)
✓	0.5b	(pow.f64 (cbrt.f64 x) 2)

Compiler

Compiled 34 to 20 computations (41.2% saved)

series20.0ms (0.8%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(.f64 (.f64 (*.f64 27 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
4.0ms	y	@	0	(.f64 (.f64 27 y) (pow.f64 (cbrt.f64 x) 2))
2.0ms	x	@	0	(.f64 (.f64 (*.f64 27 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
2.0ms	y	@	0	(.f64 (.f64 (*.f64 27 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
1.0ms	x	@	-inf	(.f64 (.f64 27 y) (pow.f64 (cbrt.f64 x) 2))

rewrite74.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1038×	`*-commutative`
1004×	`cbrt-prod`
918×	`sqrt-prod`
814×	`unswap-sqr`
656×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	242	52
2	2762	52

Stop Event

1×	node limit

Counts

4 → 100

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 x)) (.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))))) (#(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 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (cbrt.f64 x) (.f64 x (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4) (.f64 x (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/12) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/4) (pow.f64 x 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)) (cbrt.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (pow.f64 (cbrt.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 x) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 x 1/6)) 3) (pow.f64 (cbrt.f64 (pow.f64 x 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 1/6))) (cbrt.f64 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) 4)) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) (exp.f64 (log1p.f64 (cbrt.f64 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) (exp.f64 (log1p.f64 (cbrt.f64 x)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (cbrt.f64 x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 27 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 27 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 27 y)))) (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 27 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 27 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 27 y)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 27 y)))) (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 27 y))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 27 y)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 27 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 x) (sqrt.f64 (.f64 27 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 27 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cbrt.f64 x) (sqrt.f64 (.f64 27 y))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 19683 (pow.f64 y 3)) (.f64 x x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (cbrt.f64 x) (sqrt.f64 (.f64 27 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 27 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 27) y) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 27 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 19683 (pow.f64 y 3)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 27 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (.f64 27 y)) (.f64 (log.f64 x) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (*.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 (exp.f64 (log1p.f64 (.f64 x (.f64 27 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 27 y)))) (exp.f64 (log1p.f64 (.f64 x (.f64 27 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 27 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 27 y)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 27 y)))) (exp.f64 (log1p.f64 (.f64 x (.f64 27 y))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 27 y)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 27 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 27 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 27 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 19683 (pow.f64 (.f64 x 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 fabs.f64 (.f64 x (.f64 27 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.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 (.f64 19683 (pow.f64 (.f64 x 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))))))))

simplify85.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

910×	`distribute-rgt-in`
908×	`distribute-lft-in`
632×	`times-frac`
608×	`associate-/l*`
596×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	244	4294969974
1	597	2610
2	2203	2576
3	7195	2572

Stop Event

1×	node limit

Counts

136 → 134

Calls

Call 1

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

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))
✓	0.5b	(.f64 (.f64 x 27) (sqrt.f64 y))

Compiler

Compiled 25 to 13 computations (48% saved)

series7.0ms (0.3%)

Counts

2 → 36

Calls

12 calls:

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

rewrite57.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify46.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1326×	`distribute-lft-in`
1262×	`distribute-rgt-in`
1188×	`associate-+r+`
1130×	`associate-+l+`
700×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	912
1	179	912
2	687	912
3	2410	910

Stop Event

1×	node limit

Counts

62 → 34

Calls

Call 1

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

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

eval98.0ms (3.8%)

Compiler: Compiled 4931 to 3222 computations (34.7% saved)

prune46.0ms (1.8%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	314	1	315
Fresh	0	0	0
Picked	0	1	1
Done	1	6	7
Total	315	8	323

Error

Counts

323 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.3b	(pow.f64 (.f64 (cbrt.f64 (.f64 x y)) 3) 3)
✓	25.8b	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
✓	17.6b	(.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))
✓	17.3b	(.f64 (.f64 x (sqrt.f64 (.f64 27 y))) (sqrt.f64 (.f64 27 y)))
✓	0.4b	(.f64 (.f64 x 27) y)
✓	0.2b	(.f64 x (.f64 27 y))
✓	0.3b	(.f64 27 (.f64 x y))
▶	34.9b	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)))

Compiler

Compiled 75 to 56 computations (25.3% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (*.f64 x y) 3)
✓	0.2b	(.f64 19683 (pow.f64 (.f64 x y) 3))
✓	33.7b	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)))

Compiler

Compiled 29 to 16 computations (44.8% saved)

series22.0ms (0.8%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(.f64 19683 (pow.f64 (.f64 x y) 3))
2.0ms	x	@	0	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)))
2.0ms	x	@	-inf	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)))
2.0ms	y	@	-inf	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)))
1.0ms	y	@	0	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)))

rewrite66.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1936×	`add-sqr-sqrt`
1900×	`*-un-lft-identity`
1792×	`add-cube-cbrt`
1776×	`add-cbrt-cube`
200×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	228	45
2	2562	45

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

Inputs
(cbrt.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)))
(.f64 19683 (pow.f64 (.f64 x y) 3))
(pow.f64 (*.f64 x y) 3)

Outputs

((#(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 (*.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 (sqrt.f64 (*.f64 (*.f64 x y) 27)) (sqrt.f64 (*.f64 (*.f64 x y) 27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (cbrt.f64 (*.f64 x y))) (pow.f64 (*.f64 3 (cbrt.f64 (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 3 (cbrt.f64 (*.f64 x y))) 2) (*.f64 3 (cbrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 27 (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 27 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 27 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 27 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 27 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 (*.f64 x y) 27))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x y) 3/2) (sqrt.f64 19683)) 1/3) (pow.f64 (*.f64 (pow.f64 (*.f64 x y) 3/2) (sqrt.f64 19683)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 729 (pow.f64 (*.f64 x y) 2)) 1/3) (*.f64 3 (cbrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 19683 (pow.f64 (*.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x y) 27) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 x y) 27)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (cbrt.f64 (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 729 (pow.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 27) (*.f64 x y)))))) (#(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 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 19683 (pow.f64 (*.f64 x y) 3))) 1/3))))) (#(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 19683 (pow.f64 (*.f64 x y) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 19683 (pow.f64 (*.f64 x y) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x y) 27) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x y) 3/2) (sqrt.f64 19683)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 19683 (pow.f64 (*.f64 x y) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) 6) 387420489))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 19683) (pow.f64 (*.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 19683 (pow.f64 (*.f64 x y) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 19683 (pow.f64 (*.f64 x y) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 19683 (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 19683 (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 19683 (pow.f64 (*.f64 x y) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 19683 (pow.f64 (*.f64 x y) 3))))))))

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

simplify98.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1184×	`unswap-sqr`
1160×	`associate-/r*`
936×	`associate-/l*`
772×	`*-commutative`
632×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	2249
1	351	2249
2	1545	2243
3	6234	2243

Stop Event

1×	node limit

Counts

139 → 84

Calls

Call 1

Inputs
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -19683) x)))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -19683) x)))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -19683) x)))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -19683) x)))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -19683) x)))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -19683) x)))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -19683) x)))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -19683) x)))
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x y) 27))) 1)
(.f64 (.f64 x y) 27)
(.f64 (.f64 (*.f64 x y) 27) 1)
(.f64 1 (.f64 (*.f64 x y) 27))
(.f64 (sqrt.f64 (.f64 (.f64 x y) 27)) (sqrt.f64 (.f64 (*.f64 x y) 27)))
(.f64 (.f64 3 (cbrt.f64 (.f64 x y))) (pow.f64 (.f64 3 (cbrt.f64 (*.f64 x y))) 2))
(.f64 (pow.f64 (.f64 3 (cbrt.f64 (.f64 x y))) 2) (.f64 3 (cbrt.f64 (*.f64 x y))))
(.f64 27 (.f64 x y))
(.f64 (.f64 27 x) y)
(.f64 (.f64 27 y) x)
(.f64 (.f64 27 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)))
(.f64 (.f64 27 (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (.f64 x y)))
(.f64 (pow.f64 1 1/3) (.f64 (*.f64 x y) 27))
(.f64 (pow.f64 (.f64 (pow.f64 (.f64 x y) 3/2) (sqrt.f64 19683)) 1/3) (pow.f64 (.f64 (pow.f64 (*.f64 x y) 3/2) (sqrt.f64 19683)) 1/3))
(.f64 (pow.f64 (.f64 729 (pow.f64 (.f64 x y) 2)) 1/3) (.f64 3 (cbrt.f64 (*.f64 x y))))
(pow.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)) 1/3)
(pow.f64 (.f64 (.f64 x y) 27) 1)
(pow.f64 (sqrt.f64 (.f64 (.f64 x y) 27)) 2)
(pow.f64 (.f64 3 (cbrt.f64 (.f64 x y))) 3)
(sqrt.f64 (.f64 729 (pow.f64 (.f64 x y) 2)))
(log.f64 (pow.f64 (exp.f64 27) (*.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x y) 27))))
(expm1.f64 (log1p.f64 (.f64 (.f64 x y) 27)))
(exp.f64 (log.f64 (.f64 (.f64 x y) 27)))
(exp.f64 (.f64 (log.f64 (.f64 19683 (pow.f64 (*.f64 x y) 3))) 1/3))
(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 19683 (pow.f64 (.f64 x y) 3)))) 1)
(pow.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)) 1)
(pow.f64 (.f64 (.f64 x y) 27) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x y) 3/2) (sqrt.f64 19683)) 2)
(pow.f64 (pow.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 (.f64 x y) 6) 387420489))
(log.f64 (pow.f64 (exp.f64 19683) (pow.f64 (*.f64 x y) 3)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)))))
(cbrt.f64 (pow.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)) 3))
(expm1.f64 (log1p.f64 (.f64 19683 (pow.f64 (.f64 x y) 3))))
(exp.f64 (log.f64 (.f64 19683 (pow.f64 (.f64 x y) 3))))
(exp.f64 (.f64 (log.f64 (.f64 19683 (pow.f64 (*.f64 x y) 3))) 1))
(log1p.f64 (expm1.f64 (.f64 19683 (pow.f64 (.f64 x y) 3))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x y) 3))) 1)
(.f64 x (.f64 y (pow.f64 (*.f64 x y) 2)))
(.f64 y (.f64 x (pow.f64 (*.f64 x y) 2)))
(.f64 (.f64 x y) (pow.f64 (*.f64 x y) 2))
(.f64 (pow.f64 (.f64 x y) 3) 1)
(.f64 1 (pow.f64 (.f64 x y) 3))
(.f64 (pow.f64 (.f64 x y) 3/2) (pow.f64 (*.f64 x y) 3/2))
(.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 (.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(.f64 (pow.f64 (.f64 x y) 2) (*.f64 x y))
(*.f64 (pow.f64 x 3) (pow.f64 y 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(.f64 (.f64 (pow.f64 (*.f64 x y) 2) x) y)
(.f64 (.f64 (pow.f64 (*.f64 x y) 2) y) x)
(.f64 (.f64 (pow.f64 (.f64 x y) 2) 1) (.f64 x y))
(.f64 (.f64 (pow.f64 (.f64 x y) 2) (sqrt.f64 (.f64 x y))) (sqrt.f64 (*.f64 x y)))
(.f64 (.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)))
(.f64 (pow.f64 (sqrt.f64 (.f64 x y)) 3) (pow.f64 (sqrt.f64 (*.f64 x y)) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) 3) (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x y) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 x y) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x y) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x y) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) 3)))
(exp.f64 (.f64 3 (log.f64 (.f64 x y))))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x y) 3)))

Outputs
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -19683) x)))
(neg.f64 (.f64 y (.f64 x (cbrt.f64 -19683))))
(.f64 (.f64 x (cbrt.f64 -19683)) (neg.f64 y))
(.f64 y (.f64 x (neg.f64 (cbrt.f64 -19683))))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -19683) x)))
(neg.f64 (.f64 y (.f64 x (cbrt.f64 -19683))))
(.f64 (.f64 x (cbrt.f64 -19683)) (neg.f64 y))
(.f64 y (.f64 x (neg.f64 (cbrt.f64 -19683))))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -19683) x)))
(neg.f64 (.f64 y (.f64 x (cbrt.f64 -19683))))
(.f64 (.f64 x (cbrt.f64 -19683)) (neg.f64 y))
(.f64 y (.f64 x (neg.f64 (cbrt.f64 -19683))))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -19683) x)))
(neg.f64 (.f64 y (.f64 x (cbrt.f64 -19683))))
(.f64 (.f64 x (cbrt.f64 -19683)) (neg.f64 y))
(.f64 y (.f64 x (neg.f64 (cbrt.f64 -19683))))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 (cbrt.f64 19683) (.f64 y x))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -19683) x)))
(neg.f64 (.f64 y (.f64 x (cbrt.f64 -19683))))
(.f64 (.f64 x (cbrt.f64 -19683)) (neg.f64 y))
(.f64 y (.f64 x (neg.f64 (cbrt.f64 -19683))))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -19683) x)))
(neg.f64 (.f64 y (.f64 x (cbrt.f64 -19683))))
(.f64 (.f64 x (cbrt.f64 -19683)) (neg.f64 y))
(.f64 y (.f64 x (neg.f64 (cbrt.f64 -19683))))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -19683) x)))
(neg.f64 (.f64 y (.f64 x (cbrt.f64 -19683))))
(.f64 (.f64 x (cbrt.f64 -19683)) (neg.f64 y))
(.f64 y (.f64 x (neg.f64 (cbrt.f64 -19683))))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -19683) x)))
(neg.f64 (.f64 y (.f64 x (cbrt.f64 -19683))))
(.f64 (.f64 x (cbrt.f64 -19683)) (neg.f64 y))
(.f64 y (.f64 x (neg.f64 (cbrt.f64 -19683))))
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(.f64 19683 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (*.f64 y x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (*.f64 y x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (*.f64 y x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (*.f64 y x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (*.f64 y x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (*.f64 y x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (*.f64 y x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (*.f64 y x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (*.f64 y x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (*.f64 y x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (*.f64 y x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (*.f64 y x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (*.f64 y x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (*.f64 y x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (*.f64 y x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (*.f64 y x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (*.f64 y x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (*.f64 y x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (*.f64 y x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (*.f64 y x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (*.f64 y x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (*.f64 y x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (*.f64 y x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (*.f64 y x) 3)
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x y) 27))) 1)
(.f64 y (.f64 x 27))
(.f64 x (.f64 y 27))
(.f64 (.f64 x y) 27)
(.f64 y (.f64 x 27))
(.f64 x (.f64 y 27))
(.f64 (.f64 (*.f64 x y) 27) 1)
(.f64 y (.f64 x 27))
(.f64 x (.f64 y 27))
(.f64 1 (.f64 (*.f64 x y) 27))
(.f64 y (.f64 x 27))
(.f64 x (.f64 y 27))
(.f64 (sqrt.f64 (.f64 (.f64 x y) 27)) (sqrt.f64 (.f64 (*.f64 x y) 27)))
(.f64 y (.f64 x 27))
(.f64 x (.f64 y 27))
(.f64 (.f64 3 (cbrt.f64 (.f64 x y))) (pow.f64 (.f64 3 (cbrt.f64 (*.f64 x y))) 2))
(.f64 y (.f64 x 27))
(.f64 x (.f64 y 27))
(.f64 (pow.f64 (.f64 3 (cbrt.f64 (.f64 x y))) 2) (.f64 3 (cbrt.f64 (*.f64 x y))))
(.f64 y (.f64 x 27))
(.f64 x (.f64 y 27))
(.f64 27 (.f64 x y))
(.f64 y (.f64 x 27))
(.f64 x (.f64 y 27))
(.f64 (.f64 27 x) y)
(.f64 y (.f64 x 27))
(.f64 x (.f64 y 27))
(.f64 (.f64 27 y) x)
(.f64 y (.f64 x 27))
(.f64 x (.f64 y 27))
(.f64 (.f64 27 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)))
(.f64 y (.f64 x 27))
(.f64 x (.f64 y 27))
(.f64 (.f64 27 (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (.f64 x y)))
(.f64 y (.f64 x 27))
(.f64 x (.f64 y 27))
(.f64 (pow.f64 1 1/3) (.f64 (*.f64 x y) 27))
(.f64 y (.f64 x 27))
(.f64 x (.f64 y 27))
(.f64 (pow.f64 (.f64 (pow.f64 (.f64 x y) 3/2) (sqrt.f64 19683)) 1/3) (pow.f64 (.f64 (pow.f64 (*.f64 x y) 3/2) (sqrt.f64 19683)) 1/3))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 y x) 3/2) (sqrt.f64 19683))) (cbrt.f64 (.f64 (pow.f64 (*.f64 y x) 3/2) (sqrt.f64 19683))))
(.f64 (pow.f64 (.f64 729 (pow.f64 (.f64 x y) 2)) 1/3) (.f64 3 (cbrt.f64 (*.f64 x y))))
(.f64 (.f64 3 (cbrt.f64 (.f64 y x))) (cbrt.f64 (.f64 729 (pow.f64 (*.f64 y x) 2))))
(.f64 3 (.f64 (cbrt.f64 (.f64 y x)) (cbrt.f64 (.f64 729 (pow.f64 (*.f64 y x) 2)))))
(pow.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)) 1/3)
(.f64 y (.f64 x 27))
(.f64 x (.f64 y 27))
(pow.f64 (.f64 (.f64 x y) 27) 1)
(.f64 y (.f64 x 27))
(.f64 x (.f64 y 27))
(pow.f64 (sqrt.f64 (.f64 (.f64 x y) 27)) 2)
(.f64 y (.f64 x 27))
(.f64 x (.f64 y 27))
(pow.f64 (.f64 3 (cbrt.f64 (.f64 x y))) 3)
(.f64 y (.f64 x 27))
(.f64 x (.f64 y 27))
(sqrt.f64 (.f64 729 (pow.f64 (.f64 x y) 2)))
(sqrt.f64 (.f64 729 (pow.f64 (.f64 y x) 2)))
(fabs.f64 (.f64 y (.f64 x 27)))
(log.f64 (pow.f64 (exp.f64 27) (*.f64 x y)))
(.f64 y (.f64 x 27))
(.f64 x (.f64 y 27))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x y) 27))))
(.f64 y (.f64 x 27))
(.f64 x (.f64 y 27))
(expm1.f64 (log1p.f64 (.f64 (.f64 x y) 27)))
(.f64 y (.f64 x 27))
(.f64 x (.f64 y 27))
(exp.f64 (log.f64 (.f64 (.f64 x y) 27)))
(.f64 y (.f64 x 27))
(.f64 x (.f64 y 27))
(exp.f64 (.f64 (log.f64 (.f64 19683 (pow.f64 (*.f64 x y) 3))) 1/3))
(.f64 y (.f64 x 27))
(.f64 x (.f64 y 27))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x y) 27)) 1))
(.f64 y (.f64 x 27))
(.f64 x (.f64 y 27))
(log1p.f64 (expm1.f64 (.f64 (.f64 x y) 27)))
(.f64 y (.f64 x 27))
(.f64 x (.f64 y 27))
(-.f64 (exp.f64 (log1p.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)))) 1)
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(pow.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)) 1)
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(pow.f64 (.f64 (.f64 x y) 27) 3)
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x y) 3/2) (sqrt.f64 19683)) 2)
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(pow.f64 (pow.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)) 3) 1/3)
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(sqrt.f64 (.f64 (pow.f64 (.f64 x y) 6) 387420489))
(sqrt.f64 (.f64 (pow.f64 (.f64 y x) 6) 387420489))
(log.f64 (pow.f64 (exp.f64 19683) (pow.f64 (*.f64 x y) 3)))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(log.f64 (+.f64 1 (expm1.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)))))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(cbrt.f64 (pow.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)) 3))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(expm1.f64 (log1p.f64 (.f64 19683 (pow.f64 (.f64 x y) 3))))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(exp.f64 (log.f64 (.f64 19683 (pow.f64 (.f64 x y) 3))))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(exp.f64 (.f64 (log.f64 (.f64 19683 (pow.f64 (*.f64 x y) 3))) 1))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(log1p.f64 (expm1.f64 (.f64 19683 (pow.f64 (.f64 x y) 3))))
(.f64 19683 (pow.f64 (.f64 y x) 3))
(pow.f64 (.f64 y (.f64 x 27)) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x y) 3))) 1)
(pow.f64 (*.f64 y x) 3)
(.f64 x (.f64 y (pow.f64 (*.f64 x y) 2)))
(pow.f64 (*.f64 y x) 3)
(.f64 y (.f64 x (pow.f64 (*.f64 x y) 2)))
(pow.f64 (*.f64 y x) 3)
(.f64 (.f64 x y) (pow.f64 (*.f64 x y) 2))
(pow.f64 (*.f64 y x) 3)
(.f64 (pow.f64 (.f64 x y) 3) 1)
(pow.f64 (*.f64 y x) 3)
(.f64 1 (pow.f64 (.f64 x y) 3))
(pow.f64 (*.f64 y x) 3)
(.f64 (pow.f64 (.f64 x y) 3/2) (pow.f64 (*.f64 x y) 3/2))
(pow.f64 (*.f64 y x) 3)
(.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 (.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(pow.f64 (*.f64 y x) 3)
(.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(pow.f64 (*.f64 y x) 3)
(.f64 (pow.f64 (.f64 x y) 2) (*.f64 x y))
(pow.f64 (*.f64 y x) 3)
(*.f64 (pow.f64 x 3) (pow.f64 y 3))
(pow.f64 (*.f64 y x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (*.f64 y x) 3)
(.f64 (.f64 (pow.f64 (*.f64 x y) 2) x) y)
(pow.f64 (*.f64 y x) 3)
(.f64 (.f64 (pow.f64 (*.f64 x y) 2) y) x)
(pow.f64 (*.f64 y x) 3)
(.f64 (.f64 (pow.f64 (.f64 x y) 2) 1) (.f64 x y))
(pow.f64 (*.f64 y x) 3)
(.f64 (.f64 (pow.f64 (.f64 x y) 2) (sqrt.f64 (.f64 x y))) (sqrt.f64 (*.f64 x y)))
(pow.f64 (*.f64 y x) 3)
(.f64 (.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)))
(pow.f64 (*.f64 y x) 3)
(.f64 (pow.f64 (sqrt.f64 (.f64 x y)) 3) (pow.f64 (sqrt.f64 (*.f64 x y)) 3))
(pow.f64 (*.f64 y x) 3)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) 3) (*.f64 x y))
(pow.f64 (*.f64 y x) 3)
(sqrt.f64 (pow.f64 (*.f64 x y) 6))
(pow.f64 (*.f64 y x) 3)
(log.f64 (exp.f64 (pow.f64 (*.f64 x y) 3)))
(pow.f64 (*.f64 y x) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x y) 3))))
(pow.f64 (*.f64 y x) 3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x y) 3) 3))
(pow.f64 (*.f64 y x) 3)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) 3)))
(pow.f64 (*.f64 y x) 3)
(exp.f64 (.f64 3 (log.f64 (.f64 x y))))
(pow.f64 (*.f64 y x) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x y))) 1))
(pow.f64 (*.f64 y x) 3)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x y) 3)))
(pow.f64 (*.f64 y x) 3)

eval20.0ms (0.8%)

Compiler: Compiled 886 to 548 computations (38.1% saved)

prune13.0ms (0.5%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	0	0
Picked	0	1	1
Done	1	6	7
Total	84	8	92

Error

Counts

92 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.3b	(pow.f64 (.f64 (cbrt.f64 (.f64 x y)) 3) 3)
✓	17.6b	(.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))
✓	17.3b	(.f64 (.f64 x (sqrt.f64 (.f64 27 y))) (sqrt.f64 (.f64 27 y)))
✓	0.4b	(.f64 (.f64 x 27) y)
	0.7b	(.f64 (cbrt.f64 19683) (.f64 y x))
✓	0.2b	(.f64 x (.f64 27 y))
✓	0.3b	(.f64 27 (.f64 x y))
✓	34.9b	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)))

Compiler

Compiled 73 to 54 computations (26% saved)

regimes53.0ms (2%)

Accuracy

Total -51.6b remaining (-21315%)

Threshold costs -51.6b (-21315%)

Counts

10 → 1

Calls

Call 1

Inputs
(.f64 27 (.f64 x y))
(.f64 x (.f64 27 y))
(.f64 (.f64 x 27) y)
(.f64 (cbrt.f64 19683) (.f64 y x))
(cbrt.f64 (.f64 19683 (pow.f64 (.f64 x 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) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 x (sqrt.f64 (.f64 27 y))) (sqrt.f64 (.f64 27 y)))
(.f64 (.f64 (*.f64 27 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))

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

Calls

4 calls:

29.0ms	(*.f64 x 27)
9.0ms	x
7.0ms	(.f64 (.f64 x 27) y)
6.0ms	y

Results

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

Compiler

Compiled 96 to 64 computations (33.3% 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×	fuel
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)

soundness36.0ms (1.4%)

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)

end16.0ms (0.6%)

Remove: (sort x y)
Compiler: Compiled 26 to 18 computations (30.8% saved)

Details

analyze46.0ms (1.8%)

sample858.0ms (33.2%)

preprocess15.0ms (0.6%)

simplify11.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series29.0ms (1.1%)

rewrite48.0ms (1.9%)

simplify58.0ms (2.3%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite49.0ms (1.9%)

simplify60.0ms (2.3%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite52.0ms (2%)

simplify41.0ms (1.6%)

eval7.0ms (0.3%)

prune5.0ms (0.2%)

localize11.0ms (0.4%)

series18.0ms (0.7%)

rewrite62.0ms (2.4%)

simplify56.0ms (2.2%)

localize10.0ms (0.4%)

series15.0ms (0.6%)

rewrite64.0ms (2.5%)

simplify51.0ms (2%)

eval41.0ms (1.6%)

prune24.0ms (0.9%)

localize13.0ms (0.5%)

series13.0ms (0.5%)

rewrite67.0ms (2.6%)

simplify51.0ms (2%)

localize13.0ms (0.5%)

series20.0ms (0.8%)

rewrite74.0ms (2.9%)

simplify85.0ms (3.3%)

localize9.0ms (0.4%)

series7.0ms (0.3%)

rewrite57.0ms (2.2%)

simplify46.0ms (1.8%)

eval98.0ms (3.8%)

prune46.0ms (1.8%)

localize11.0ms (0.4%)

series22.0ms (0.8%)

rewrite66.0ms (2.5%)

simplify98.0ms (3.8%)

eval20.0ms (0.8%)

prune13.0ms (0.5%)

regimes53.0ms (2%)

simplify4.0ms (0.2%)

soundness36.0ms (1.4%)

end16.0ms (0.6%)

Profiling