Details

analyze51.0ms (1.3%)

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
28.6%	25%	62.4%	0.1%	12.5%	0%	0%	6
50%	43.7%	43.7%	0.1%	12.5%	0%	0%	7
57.7%	46.8%	34.3%	0.1%	18.7%	0%	0%	8
71.2%	57.8%	23.4%	0.1%	18.7%	0%	0%	9
77%	60.1%	18%	0.1%	21.9%	0%	0%	10
84.5%	66%	12.1%	0.1%	21.9%	0%	0%	11
88%	67.3%	9.2%	0.1%	23.4%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample805.0ms (19.8%)

Results

779.0ms	8256×	body	256	valid
13.0ms	175×	body	256	infinite

Bogosity

preprocess36.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

468×	`fma-def`
330×	`associate-+r+`
302×	`associate-+l+`
274×	`associate-r`
210×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	26	38
2	66	38
3	125	38
4	256	38
5	494	38
6	628	38
7	828	38
8	1555	38
9	1874	38
10	1924	38
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(.f64 x (-.f64 1 (.f64 x y)))
(.f64 y (-.f64 1 (.f64 y x)))

Outputs
(.f64 x (-.f64 1 (.f64 x y)))
(-.f64 x (.f64 x (.f64 x y)))
(*.f64 x (neg.f64 (fma.f64 x y -1)))
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(.f64 y (-.f64 1 (.f64 y x)))
(.f64 y (-.f64 1 (.f64 x y)))
(-.f64 y (.f64 x (.f64 y y)))
(*.f64 y (fma.f64 x (neg.f64 y) 1))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify30.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

274×	`fma-def`
186×	`associate-r`
146×	`associate-+r+`
138×	`associate-+l+`
114×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	18	19
2	39	19
3	79	19
4	160	19
5	310	19
6	410	19
7	520	19
8	862	19
9	1075	19
10	1107	19

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

Inputs
(.f64 x (-.f64 1 (.f64 x y)))

Outputs
(.f64 x (-.f64 1 (.f64 x y)))
(fma.f64 x (*.f64 x (neg.f64 y)) x)
(fma.f64 (*.f64 x y) (neg.f64 x) x)
(-.f64 x (.f64 x (.f64 x y)))

eval1.0ms (0%)

Compiler: Compiled 30 to 13 computations (56.7% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	1	5

Error

0.16%

Counts

5 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.16%	(-.f64 x (.f64 x (.f64 x y)))

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.32%	(.f64 x (.f64 x y))

Compiler

Compiled 19 to 5 computations (73.7% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`add-sqr-sqrt`
1136×	`*-un-lft-identity`
1068×	`pow1`
1048×	`add-cube-cbrt`
1028×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	119	13
2	1441	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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

Outputs

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

simplify49.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1654×	`distribute-rgt-in`
1626×	`distribute-lft-in`
1322×	`log-prod`
820×	`associate-+r+`
808×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	455
1	88	455
2	339	455
3	2029	455

Stop Event

1×	node limit

Counts

35 → 13

Calls

Call 1

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

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

eval2.0ms (0.1%)

Compiler: Compiled 121 to 54 computations (55.4% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	4	14

Error

0.06%

Counts

14 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	51.32%	(-.f64 x (pow.f64 (*.f64 x (sqrt.f64 y)) 2))
▶	0.68%	(-.f64 x (pow.f64 (cbrt.f64 (.f64 x (.f64 x y))) 3))
▶	14.74%	(-.f64 x (.f64 y (.f64 x x)))
✓	0.16%	(-.f64 x (.f64 x (.f64 x y)))

Compiler

Compiled 40 to 25 computations (37.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	15.83%	(.f64 y (.f64 x x))

Compiler

Compiled 19 to 5 computations (73.7% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1122×	`add-sqr-sqrt`
1110×	`*-un-lft-identity`
1042×	`pow1`
1026×	`add-cube-cbrt`
1010×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	120	13
2	1473	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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

Outputs

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

simplify40.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1474×	`distribute-rgt-in`
1446×	`distribute-lft-in`
1184×	`log-prod`
740×	`associate-r`
696×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	455
1	94	455
2	354	455
3	1919	455

Stop Event

1×	node limit

Counts

35 → 14

Calls

Call 1

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

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

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.32%	(.f64 x (.f64 x y))
✓	0.85%	(pow.f64 (cbrt.f64 (.f64 x (.f64 x y))) 3)
✓	23.64%	(cbrt.f64 (.f64 x (.f64 x y)))

Compiler

Compiled 37 to 11 computations (70.3% saved)

series6.0ms (0.2%)

Counts

2 → 0

Calls

12 calls:

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

rewrite59.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1674×	`add-sqr-sqrt`
1644×	`*-un-lft-identity`
1544×	`add-cube-cbrt`
1520×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	205	30
2	2196	30

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

Outputs

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

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

simplify75.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

906×	`fma-def`
880×	`associate-/l*`
682×	`cube-prod`
660×	`log-prod`
622×	`swap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	1024
1	302	1024
2	1054	1024
3	2871	1020
4	7071	1020

Stop Event

1×	node limit

Counts

64 → 69

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.19%	(*.f64 x (sqrt.f64 y))
✓	0.3%	(pow.f64 (*.f64 x (sqrt.f64 y)) 2)

Compiler

Compiled 25 to 10 computations (60% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(pow.f64 (*.f64 x (sqrt.f64 y)) 2)
1.0ms	x	@	0	(pow.f64 (*.f64 x (sqrt.f64 y)) 2)
1.0ms	y	@	0	(pow.f64 (*.f64 x (sqrt.f64 y)) 2)
1.0ms	x	@	inf	(pow.f64 (*.f64 x (sqrt.f64 y)) 2)
0.0ms	x	@	-inf	(pow.f64 (*.f64 x (sqrt.f64 y)) 2)

rewrite127.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1534×	`add-sqr-sqrt`
1516×	`*-un-lft-identity`
1404×	`add-cube-cbrt`
1388×	`add-cbrt-cube`
1374×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	182	24
2	2076	24

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs

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

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

simplify65.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1100×	`distribute-rgt-in`
1100×	`distribute-lft-in`
890×	`associate-+r+`
812×	`associate-+l+`
794×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	801
1	189	801
2	805	801
3	2303	801
4	7619	801

Stop Event

1×	node limit

Counts

61 → 40

Calls

Call 1

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

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

eval23.0ms (0.6%)

Compiler: Compiled 1675 to 608 computations (63.7% saved)

prune24.0ms (0.6%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	129	7	136
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	129	11	140

Error

0.01%

Counts

140 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	51.66%	(-.f64 x (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 y))) 3) 2))
✓	51.32%	(-.f64 x (pow.f64 (*.f64 x (sqrt.f64 y)) 2))
✓	0.68%	(-.f64 x (pow.f64 (cbrt.f64 (.f64 x (.f64 x y))) 3))
	1.16%	(-.f64 x (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x y)))) 2) 3) (cbrt.f64 (.f64 x (*.f64 x y)))))
▶	0.7%	(-.f64 x (.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 (cbrt.f64 (.f64 x y)) x)))
▶	0.73%	(-.f64 x (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x y))))
▶	45.15%	(-.f64 x (.f64 (.f64 (*.f64 x y) (sqrt.f64 x)) (sqrt.f64 x)))
▶	15.2%	(-.f64 x (.f64 (.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))
✓	14.74%	(-.f64 x (.f64 y (.f64 x x)))
✓	0.16%	(-.f64 x (.f64 x (.f64 x y)))
▶	44.92%	(-.f64 x (sqrt.f64 (.f64 (.f64 y y) (pow.f64 x 4))))

Compiler

Compiled 254 to 153 computations (39.8% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.36%	(.f64 (cbrt.f64 (.f64 x y)) x)
✓	0.43%	(.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 (cbrt.f64 (.f64 x y)) x))
✓	0.83%	(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
✓	12.27%	(cbrt.f64 (*.f64 x y))

Compiler

Compiled 52 to 15 computations (71.2% saved)

series10.0ms (0.2%)

Counts

4 → 24

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 (cbrt.f64 (.f64 x y)) x))
2.0ms	y	@	-inf	(.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 (cbrt.f64 (.f64 x y)) x))
0.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
0.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
0.0ms	x	@	inf	(.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 (cbrt.f64 (.f64 x y)) x))

rewrite74.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1924×	`add-sqr-sqrt`
1904×	`*-un-lft-identity`
1766×	`add-cube-cbrt`
1732×	`add-cbrt-cube`
206×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	58
1	220	58
2	2551	58

Stop Event

1×	node limit

Counts

4 → 72

Calls

Call 1

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

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

simplify89.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1476×	`fma-def`
558×	`*-commutative`
514×	`distribute-lft-in`
496×	`distribute-rgt-in`
488×	`sqr-pow`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	152	1456
1	307	1450
2	1239	1434
3	3870	1422

Stop Event

1×	node limit

Counts

96 → 91

Calls

Call 1

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

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

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	32.28%	(.f64 (.f64 y y) (pow.f64 x 4))
✓	33.03%	(sqrt.f64 (.f64 (.f64 y y) (pow.f64 x 4)))

Compiler

Compiled 36 to 18 computations (50% saved)

series2.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(.f64 (.f64 y y) (pow.f64 x 4))
1.0ms	x	@	0	(.f64 (.f64 y y) (pow.f64 x 4))
0.0ms	x	@	inf	(.f64 (.f64 y y) (pow.f64 x 4))
0.0ms	y	@	inf	(.f64 (.f64 y y) (pow.f64 x 4))
0.0ms	y	@	0	(sqrt.f64 (.f64 (.f64 y y) (pow.f64 x 4)))

rewrite101.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1730×	`add-sqr-sqrt`
1712×	`*-un-lft-identity`
1592×	`add-cube-cbrt`
1570×	`add-cbrt-cube`
190×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	203	32
2	2379	32

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (.f64 y y) (pow.f64 x 4)))
(.f64 (.f64 y y) (pow.f64 x 4))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (pow.f64 (*.f64 y (pow.f64 x 4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 y y) (pow.f64 x 4))) (cbrt.f64 (*.f64 y (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (*.f64 x x))) (cbrt.f64 (*.f64 (*.f64 y y) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) (pow.f64 y 4)))) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 y y) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 y (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) (pow.f64 y 4))) 1/2) (pow.f64 (cbrt.f64 (*.f64 (*.f64 y y) (pow.f64 x 4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y y) (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 y) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 y (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y y) (pow.f64 x 4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 x x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 y y) (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y y) (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 y y) (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 8) (pow.f64 y 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 y y) (pow.f64 x 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 y y) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 y y) (pow.f64 x 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 y y) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 y y) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y y) (pow.f64 x 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 y y) (pow.f64 x 4))))))))

simplify74.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

826×	`associate-/l*`
784×	`associate-*l/`
766×	`associate-*r/`
738×	`*-commutative`
618×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	1521
1	232	1521
2	956	1441
3	3048	1437
4	5698	1437

Stop Event

1×	node limit

Counts

89 → 52

Calls

Call 1

Inputs
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 x x)))) 1)
(.f64 y (.f64 x x))
(.f64 (.f64 y (*.f64 x x)) 1)
(.f64 1 (.f64 y (*.f64 x x)))
(.f64 (.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) x))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y (pow.f64 x 4))))
(.f64 (sqrt.f64 y) (pow.f64 (.f64 y (pow.f64 x 4)) 1/2))
(.f64 (cbrt.f64 (.f64 (.f64 y y) (pow.f64 x 4))) (cbrt.f64 (.f64 y (*.f64 x x))))
(.f64 (cbrt.f64 (.f64 y (.f64 x x))) (cbrt.f64 (.f64 (*.f64 y y) (pow.f64 x 4))))
(.f64 (.f64 x x) y)
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) (pow.f64 y 4)))) (sqrt.f64 (cbrt.f64 (.f64 (.f64 y y) (pow.f64 x 4)))))
(.f64 (pow.f64 1 1/2) (.f64 y (*.f64 x x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) (pow.f64 y 4))) 1/2) (pow.f64 (cbrt.f64 (.f64 (.f64 y y) (pow.f64 x 4))) 1/2))
(pow.f64 (.f64 (.f64 y y) (pow.f64 x 4)) 1/2)
(pow.f64 (.f64 y (.f64 x x)) 1)
(pow.f64 (*.f64 (sqrt.f64 y) x) 2)
(pow.f64 (cbrt.f64 (.f64 y (.f64 x x))) 3)
(pow.f64 (pow.f64 (.f64 y (.f64 x x)) 3) 1/3)
(fabs.f64 (.f64 y (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 x x)))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 y (.f64 x x))))
(exp.f64 (log.f64 (.f64 y (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 y y) (pow.f64 x 4))) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (.f64 y (.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 y y) (pow.f64 x 4)))) 1)
(pow.f64 (.f64 (.f64 y y) (pow.f64 x 4)) 1)
(pow.f64 (.f64 y (.f64 x x)) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 y y) (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (pow.f64 x 8) (pow.f64 y 4)) 1/2)
(pow.f64 (pow.f64 (.f64 (.f64 y y) (pow.f64 x 4)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 8) (pow.f64 y 4)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) (*.f64 y y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 y y) (pow.f64 x 4)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 y y) (pow.f64 x 4)) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 y y) (pow.f64 x 4))))
(exp.f64 (log.f64 (.f64 (.f64 y y) (pow.f64 x 4))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 y y) (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 y y) (pow.f64 x 4))))

Outputs
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(*.f64 (pow.f64 y 2) (pow.f64 x 4))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 x x)))) 1)
(.f64 y (.f64 x x))
(.f64 y (.f64 x x))
(.f64 (.f64 y (*.f64 x x)) 1)
(.f64 y (.f64 x x))
(.f64 1 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x x))
(.f64 (.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) x))
(.f64 y (.f64 x x))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y (pow.f64 x 4))))
(.f64 (sqrt.f64 y) (pow.f64 (.f64 y (pow.f64 x 4)) 1/2))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 (.f64 y y) (pow.f64 x 4))) (cbrt.f64 (.f64 y (*.f64 x x))))
(.f64 y (.f64 x x))
(.f64 (cbrt.f64 (.f64 y (.f64 x x))) (cbrt.f64 (.f64 (*.f64 y y) (pow.f64 x 4))))
(.f64 y (.f64 x x))
(.f64 (.f64 x x) y)
(.f64 y (.f64 x x))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) (pow.f64 y 4)))) (sqrt.f64 (cbrt.f64 (.f64 (.f64 y y) (pow.f64 x 4)))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) (pow.f64 y 4)))) (sqrt.f64 (cbrt.f64 (.f64 y (.f64 y (pow.f64 x 4))))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) (pow.f64 y 4)))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 y)) 4))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 y)) 8))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 y)) 4))))
(.f64 (pow.f64 1 1/2) (.f64 y (*.f64 x x)))
(.f64 y (.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) (pow.f64 y 4))) 1/2) (pow.f64 (cbrt.f64 (.f64 (.f64 y y) (pow.f64 x 4))) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) (pow.f64 y 4)))) (sqrt.f64 (cbrt.f64 (.f64 y (.f64 y (pow.f64 x 4))))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) (pow.f64 y 4)))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 y)) 4))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 y)) 8))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 y)) 4))))
(pow.f64 (.f64 (.f64 y y) (pow.f64 x 4)) 1/2)
(.f64 y (.f64 x x))
(pow.f64 (.f64 y (.f64 x x)) 1)
(.f64 y (.f64 x x))
(pow.f64 (*.f64 (sqrt.f64 y) x) 2)
(.f64 y (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 y (.f64 x x))) 3)
(.f64 y (.f64 x x))
(pow.f64 (pow.f64 (.f64 y (.f64 x x)) 3) 1/3)
(.f64 y (.f64 x x))
(fabs.f64 (.f64 y (.f64 x x)))
(.f64 y (.f64 x x))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 x x)))
(.f64 y (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 x x)))))
(.f64 y (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 y (.f64 x x)) 3))
(.f64 y (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 y (.f64 x x))))
(.f64 y (.f64 x x))
(exp.f64 (log.f64 (.f64 y (.f64 x x))))
(.f64 y (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 y y) (pow.f64 x 4))) 1/2))
(.f64 y (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 x x))) 1))
(.f64 y (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 y (.f64 x x))))
(.f64 y (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 y y) (pow.f64 x 4)))) 1)
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(pow.f64 (.f64 (.f64 y y) (pow.f64 x 4)) 1)
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(pow.f64 (.f64 y (.f64 x x)) 2)
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(pow.f64 (cbrt.f64 (.f64 (.f64 y y) (pow.f64 x 4))) 3)
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(pow.f64 (*.f64 (pow.f64 x 8) (pow.f64 y 4)) 1/2)
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(pow.f64 (pow.f64 (.f64 (.f64 y y) (pow.f64 x 4)) 3) 1/3)
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(sqrt.f64 (*.f64 (pow.f64 x 8) (pow.f64 y 4)))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) (*.f64 y y)))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 y y) (pow.f64 x 4)))))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(cbrt.f64 (pow.f64 (.f64 (.f64 y y) (pow.f64 x 4)) 3))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(expm1.f64 (log1p.f64 (.f64 (.f64 y y) (pow.f64 x 4))))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(exp.f64 (log.f64 (.f64 (.f64 y y) (pow.f64 x 4))))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 y y) (pow.f64 x 4))) 1))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)
(log1p.f64 (expm1.f64 (.f64 (.f64 y y) (pow.f64 x 4))))
(.f64 y (.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 y)) 4)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.25%	(.f64 (.f64 (*.f64 x y) (sqrt.f64 x)) (sqrt.f64 x))
✓	0.31%	(.f64 (.f64 x y) (sqrt.f64 x))

Compiler

Compiled 35 to 7 computations (80% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(.f64 (.f64 x y) (sqrt.f64 x))
1.0ms	x	@	-inf	(.f64 (.f64 (*.f64 x y) (sqrt.f64 x)) (sqrt.f64 x))
1.0ms	y	@	0	(.f64 (.f64 x y) (sqrt.f64 x))
0.0ms	x	@	0	(.f64 (.f64 x y) (sqrt.f64 x))
0.0ms	x	@	inf	(.f64 (.f64 x y) (sqrt.f64 x))

rewrite56.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1688×	`add-sqr-sqrt`
1674×	`*-un-lft-identity`
1546×	`add-cube-cbrt`
1514×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	178	26
2	2177	26

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify103.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1212×	`distribute-lft-in`
1178×	`distribute-rgt-in`
848×	`fma-def`
776×	`associate-+r+`
722×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	912
1	181	912
2	795	816
3	2675	814

Stop Event

1×	node limit

Counts

62 → 33

Calls

Call 1

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

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

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.84%	(pow.f64 (cbrt.f64 y) 2)
✓	1.01%	(cbrt.f64 y)
✓	2.25%	(.f64 (.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
✓	13.68%	(.f64 (.f64 x x) (pow.f64 (cbrt.f64 y) 2))

Compiler

Compiled 46 to 19 computations (58.7% saved)

series9.0ms (0.2%)

Counts

4 → 36

Calls

18 calls:

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

rewrite67.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1876×	`add-sqr-sqrt`
1856×	`*-un-lft-identity`
1720×	`add-cube-cbrt`
1692×	`add-cbrt-cube`
206×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	220	46
2	2573	46

Stop Event

1×	node limit

Counts

4 → 67

Calls

Call 1

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

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

simplify66.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1384×	`unswap-sqr`
1246×	`log-prod`
706×	`exp-prod`
582×	`sqr-pow`
544×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	1415
1	293	1409
2	1278	1399
3	4772	1393

Stop Event

1×	node limit

Counts

103 → 80

Calls

Call 1

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

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

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.39%	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x y)))
✓	0.44%	(.f64 (cbrt.f64 x) (.f64 x y))
✓	0.8%	(pow.f64 (cbrt.f64 x) 2)
✓	0.92%	(cbrt.f64 x)

Compiler

Compiled 44 to 15 computations (65.9% saved)

series5.0ms (0.1%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(.f64 (cbrt.f64 x) (.f64 x y))
0.0ms	x	@	-inf	(.f64 (cbrt.f64 x) (.f64 x y))
0.0ms	x	@	0	(.f64 (cbrt.f64 x) (.f64 x y))
0.0ms	x	@	inf	(.f64 (cbrt.f64 x) (.f64 x y))
0.0ms	y	@	-inf	(.f64 (cbrt.f64 x) (.f64 x y))

rewrite70.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1944×	`add-sqr-sqrt`
1922×	`*-un-lft-identity`
1786×	`add-cube-cbrt`
1750×	`add-cbrt-cube`
208×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	221	46
2	2608	46

Stop Event

1×	node limit

Counts

4 → 67

Calls

Call 1

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

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

simplify63.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1442×	`fma-def`
962×	`unswap-sqr`
686×	`log-prod`
560×	`*-commutative`
508×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	1345
1	292	1339
2	1180	1335
3	4486	1329

Stop Event

1×	node limit

Counts

103 → 80

Calls

Call 1

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

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

eval92.0ms (2.2%)

Compiler: Compiled 6528 to 2682 computations (58.9% saved)

prune74.0ms (1.8%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	419	5	424
Fresh	2	0	2
Picked	0	1	1
Done	1	7	8
Total	422	13	435

Error

Counts

435 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	51.32%	(-.f64 x (pow.f64 (*.f64 x (sqrt.f64 y)) 2))
▶	39.99%	(-.f64 x (pow.f64 (sqrt.f64 (.f64 x (.f64 x y))) 2))
✓	0.68%	(-.f64 x (pow.f64 (cbrt.f64 (.f64 x (.f64 x y))) 3))
▶	2.63%	(-.f64 x (.f64 (pow.f64 (.f64 x (cbrt.f64 y)) 2) (cbrt.f64 y)))
✓	0.7%	(-.f64 x (.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 (cbrt.f64 (.f64 x y)) x)))
▶	0.96%	(-.f64 x (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (*.f64 x y))))
✓	0.73%	(-.f64 x (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x y))))
✓	45.15%	(-.f64 x (.f64 (.f64 (*.f64 x y) (sqrt.f64 x)) (sqrt.f64 x)))
▶	3%	(-.f64 x (.f64 (sqrt.f64 (.f64 x (cbrt.f64 x))) (.f64 (cbrt.f64 x) (.f64 x y))))
▶	7.76%	(-.f64 x (.f64 (cbrt.f64 (pow.f64 (.f64 y x) 2)) (.f64 (cbrt.f64 (.f64 x y)) x)))
✓	14.74%	(-.f64 x (.f64 y (.f64 x x)))
✓	0.16%	(-.f64 x (.f64 x (.f64 x y)))
✓	44.92%	(-.f64 x (sqrt.f64 (.f64 (.f64 y y) (pow.f64 x 4))))

Compiler

Compiled 249 to 154 computations (38.2% saved)

localize22.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8%	(pow.f64 (cbrt.f64 x) 2)
	0.92%	(cbrt.f64 x)
✓	0.97%	(cbrt.f64 (cbrt.f64 x))
✓	1.16%	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)

Compiler

Compiled 62 to 27 computations (56.5% saved)

series46.0ms (1.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
37.0ms	x	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
7.0ms	x	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
0.0ms	x	@	-inf	(cbrt.f64 (cbrt.f64 x))
0.0ms	x	@	0	(cbrt.f64 (cbrt.f64 x))

rewrite57.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1194×	`add-sqr-sqrt`
1164×	`*-un-lft-identity`
1104×	`add-cube-cbrt`
1098×	`pow1`
1092×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	160	14
2	1586	14

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

simplify59.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

884×	`unswap-sqr`
848×	`associate-+r+`
836×	`distribute-rgt-in`
792×	`distribute-lft-in`
748×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	979
1	209	871
2	678	763
3	2256	749

Stop Event

1×	node limit

Counts

65 → 56

Calls

Call 1

Inputs
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))
(pow.f64 x 1/3)
(pow.f64 x 1/3)
(pow.f64 x 1/3)
(pow.f64 x 1/3)
(.f64 (pow.f64 (.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(pow.f64 x 1/9)
(pow.f64 x 1/9)
(pow.f64 x 1/9)
(pow.f64 x 1/9)
(pow.f64 x 1/9)
(pow.f64 x 1/9)
(pow.f64 x 1/9)
(pow.f64 x 1/9)
(.f64 (pow.f64 (.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(.f64 (pow.f64 (.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(.f64 (pow.f64 (.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(.f64 (pow.f64 (.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(-.f64 (+.f64 1 (cbrt.f64 x)) 1)
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (cbrt.f64 x) 1)
(*.f64 1 (cbrt.f64 x))
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(.f64 (pow.f64 (cbrt.f64 x) 1/6) (.f64 (pow.f64 (cbrt.f64 x) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 1) (cbrt.f64 (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 x) 1/6)) (pow.f64 (cbrt.f64 x) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 x) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) 3) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2))
(log.f64 (exp.f64 (cbrt.f64 x)))
(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 (+.f64 1 (cbrt.f64 (cbrt.f64 x))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 x)) 1)
(*.f64 1 (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 1/6) (pow.f64 (cbrt.f64 x) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x 1/6) 1/3) (pow.f64 (pow.f64 x 1/6) 1/3))
(pow.f64 x 1/9)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 1)
(pow.f64 (cbrt.f64 x) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 x) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 x))))
(exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 x))))

Outputs
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))
(cbrt.f64 x)
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))
(cbrt.f64 x)
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))
(cbrt.f64 x)
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))
(cbrt.f64 x)
(pow.f64 x 1/3)
(cbrt.f64 x)
(pow.f64 x 1/3)
(cbrt.f64 x)
(pow.f64 x 1/3)
(cbrt.f64 x)
(pow.f64 x 1/3)
(cbrt.f64 x)
(.f64 (pow.f64 (.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1))
(pow.f64 x 1/9)
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))
(pow.f64 x 1/9)
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))
(pow.f64 x 1/9)
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))
(pow.f64 x 1/9)
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))
(pow.f64 x 1/9)
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))
(pow.f64 x 1/9)
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))
(pow.f64 x 1/9)
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))
(pow.f64 x 1/9)
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))
(.f64 (pow.f64 (.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(.f64 (.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (cbrt.f64 -1)))
(.f64 (pow.f64 (neg.f64 x) 1/18) (.f64 (pow.f64 (neg.f64 x) 1/18) (cbrt.f64 (cbrt.f64 -1))))
(.f64 (pow.f64 (.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(.f64 (.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (cbrt.f64 -1)))
(.f64 (pow.f64 (neg.f64 x) 1/18) (.f64 (pow.f64 (neg.f64 x) 1/18) (cbrt.f64 (cbrt.f64 -1))))
(.f64 (pow.f64 (.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(.f64 (.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (cbrt.f64 -1)))
(.f64 (pow.f64 (neg.f64 x) 1/18) (.f64 (pow.f64 (neg.f64 x) 1/18) (cbrt.f64 (cbrt.f64 -1))))
(.f64 (pow.f64 (.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(.f64 (.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (cbrt.f64 -1)))
(.f64 (pow.f64 (neg.f64 x) 1/18) (.f64 (pow.f64 (neg.f64 x) 1/18) (cbrt.f64 (cbrt.f64 -1))))
(-.f64 (+.f64 1 (cbrt.f64 x)) 1)
(cbrt.f64 x)
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(cbrt.f64 x)
(*.f64 (cbrt.f64 x) 1)
(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 (pow.f64 (cbrt.f64 x) 1/6) (.f64 (pow.f64 (cbrt.f64 x) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
(cbrt.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
(cbrt.f64 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 1) (cbrt.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 x) 1/6)) (pow.f64 (cbrt.f64 x) 1/6))
(cbrt.f64 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))
(cbrt.f64 x)
(*.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 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) 3) (cbrt.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x))
(cbrt.f64 x)
(*.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 (pow.f64 (sqrt.f64 x) 1/6) 4)
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2))
(cbrt.f64 x)
(log.f64 (exp.f64 (cbrt.f64 x)))
(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 (+.f64 1 (cbrt.f64 (cbrt.f64 x))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 x)) 1))
(+.f64 (cbrt.f64 (cbrt.f64 x)) 0)
(cbrt.f64 (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 x)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 x)) 1))
(+.f64 (cbrt.f64 (cbrt.f64 x)) 0)
(cbrt.f64 (cbrt.f64 x))
(*.f64 1 (cbrt.f64 (cbrt.f64 x)))
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 x)) 1))
(+.f64 (cbrt.f64 (cbrt.f64 x)) 0)
(cbrt.f64 (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 1/6) (pow.f64 (cbrt.f64 x) 1/6))
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 x)) 1))
(+.f64 (cbrt.f64 (cbrt.f64 x)) 0)
(cbrt.f64 (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2))
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 x)) 1))
(+.f64 (cbrt.f64 (cbrt.f64 x)) 0)
(cbrt.f64 (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 1/3))
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 x)) 1))
(+.f64 (cbrt.f64 (cbrt.f64 x)) 0)
(cbrt.f64 (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 x)) 1))
(+.f64 (cbrt.f64 (cbrt.f64 x)) 0)
(cbrt.f64 (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 x)) 1))
(+.f64 (cbrt.f64 (cbrt.f64 x)) 0)
(cbrt.f64 (cbrt.f64 x))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 x)))
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 x)) 1))
(+.f64 (cbrt.f64 (cbrt.f64 x)) 0)
(cbrt.f64 (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 x 1/6) 1/3) (pow.f64 (pow.f64 x 1/6) 1/3))
(*.f64 (cbrt.f64 (pow.f64 x 1/6)) (cbrt.f64 (pow.f64 x 1/6)))
(pow.f64 (pow.f64 (pow.f64 x 1/6) 1/6) 4)
(pow.f64 x 1/9)
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 x)) 1))
(+.f64 (cbrt.f64 (cbrt.f64 x)) 0)
(cbrt.f64 (cbrt.f64 x))
(pow.f64 (cbrt.f64 x) 1/3)
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 x)) 1))
(+.f64 (cbrt.f64 (cbrt.f64 x)) 0)
(cbrt.f64 (cbrt.f64 x))
(pow.f64 (pow.f64 (cbrt.f64 x) 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 x)) 1))
(+.f64 (cbrt.f64 (cbrt.f64 x)) 0)
(cbrt.f64 (cbrt.f64 x))
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 3)
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 x)) 1))
(+.f64 (cbrt.f64 (cbrt.f64 x)) 0)
(cbrt.f64 (cbrt.f64 x))
(sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 x)) 1))
(+.f64 (cbrt.f64 (cbrt.f64 x)) 0)
(cbrt.f64 (cbrt.f64 x))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 x))))
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 x)) 1))
(+.f64 (cbrt.f64 (cbrt.f64 x)) 0)
(cbrt.f64 (cbrt.f64 x))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 x))))
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 x)) 1))
(+.f64 (cbrt.f64 (cbrt.f64 x)) 0)
(cbrt.f64 (cbrt.f64 x))
(exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))))
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 x)) 1))
(+.f64 (cbrt.f64 (cbrt.f64 x)) 0)
(cbrt.f64 (cbrt.f64 x))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 x))))
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 x)) 1))
(+.f64 (cbrt.f64 (cbrt.f64 x)) 0)
(cbrt.f64 (cbrt.f64 x))

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3%	(pow.f64 (sqrt.f64 (.f64 x (.f64 x y))) 2)
	0.32%	(.f64 x (.f64 x y))
✓	18.66%	(sqrt.f64 (.f64 x (.f64 x y)))

Compiler

Compiled 37 to 11 computations (70.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (.f64 x (.f64 x y))) 2)
0.0ms	y	@	0	(pow.f64 (sqrt.f64 (.f64 x (.f64 x y))) 2)
0.0ms	y	@	inf	(pow.f64 (sqrt.f64 (.f64 x (.f64 x y))) 2)
0.0ms	y	@	-inf	(sqrt.f64 (.f64 x (.f64 x y)))
0.0ms	y	@	0	(sqrt.f64 (.f64 x (.f64 x y)))

rewrite74.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1614×	`add-sqr-sqrt`
1596×	`*-un-lft-identity`
1480×	`add-cube-cbrt`
1458×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	202	24
2	2095	24

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

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

simplify63.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

788×	`log-prod`
746×	`*-commutative`
670×	`unswap-sqr`
660×	`cube-prod`
626×	`swap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	1264
1	322	1264
2	1600	1264
3	4531	1256

Stop Event

1×	node limit

Counts

86 → 75

Calls

Call 1

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

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

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.41%	(*.f64 x (cbrt.f64 y))
✓	0.65%	(pow.f64 (*.f64 x (cbrt.f64 y)) 2)
	1.01%	(cbrt.f64 y)
✓	2.25%	(.f64 (pow.f64 (.f64 x (cbrt.f64 y)) 2) (cbrt.f64 y))

Compiler

Compiled 37 to 14 computations (62.2% saved)

series6.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(pow.f64 (*.f64 x (cbrt.f64 y)) 2)
1.0ms	y	@	-inf	(pow.f64 (*.f64 x (cbrt.f64 y)) 2)
0.0ms	y	@	0	(pow.f64 (*.f64 x (cbrt.f64 y)) 2)
0.0ms	x	@	-inf	(pow.f64 (*.f64 x (cbrt.f64 y)) 2)
0.0ms	x	@	inf	(pow.f64 (*.f64 x (cbrt.f64 y)) 2)

rewrite72.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1734×	`add-sqr-sqrt`
1714×	`*-un-lft-identity`
1592×	`add-cube-cbrt`
1568×	`add-cbrt-cube`
190×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	200	41
2	2339	41

Stop Event

1×	node limit

Counts

3 → 52

Calls

Call 1

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

Outputs

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

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

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

simplify67.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1118×	`associate-+r+`
1088×	`associate-+l+`
930×	`unswap-sqr`
570×	`*-commutative`
560×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	1546
1	265	1546
2	1147	1546
3	4385	1546

Stop Event

1×	node limit

Counts

100 → 59

Calls

Call 1

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

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

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.39%	(.f64 (sqrt.f64 (.f64 x (cbrt.f64 x))) (.f64 (cbrt.f64 x) (.f64 x y)))
	0.44%	(.f64 (cbrt.f64 x) (.f64 x y))
	0.92%	(cbrt.f64 x)
✓	12.26%	(sqrt.f64 (*.f64 x (cbrt.f64 x)))

Compiler

Compiled 50 to 9 computations (82% saved)

series55.0ms (1.3%)

Counts

2 → 24

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	x	@	0	(sqrt.f64 (*.f64 x (cbrt.f64 x)))
16.0ms	y	@	0	(.f64 (sqrt.f64 (.f64 x (cbrt.f64 x))) (.f64 (cbrt.f64 x) (.f64 x y)))
14.0ms	x	@	0	(.f64 (sqrt.f64 (.f64 x (cbrt.f64 x))) (.f64 (cbrt.f64 x) (.f64 x y)))
1.0ms	x	@	-inf	(.f64 (sqrt.f64 (.f64 x (cbrt.f64 x))) (.f64 (cbrt.f64 x) (.f64 x y)))
1.0ms	x	@	-inf	(sqrt.f64 (*.f64 x (cbrt.f64 x)))

rewrite66.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1966×	`add-sqr-sqrt`
1944×	`*-un-lft-identity`
1808×	`add-cube-cbrt`
1770×	`add-cbrt-cube`
212×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	216	24
2	2726	24

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

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

simplify80.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1266×	`associate-r`
1110×	`log-prod`
1098×	`associate-l`
586×	`associate-+r+`
518×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	937
1	218	925
2	784	917
3	3903	873

Stop Event

1×	node limit

Counts

65 → 48

Calls

Call 1

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

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

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.43%	(.f64 (cbrt.f64 (pow.f64 (.f64 y x) 2)) (.f64 (cbrt.f64 (.f64 x y)) x))
✓	0.47%	(pow.f64 (*.f64 y x) 2)
	12.27%	(cbrt.f64 (*.f64 x y))
✓	33.53%	(cbrt.f64 (pow.f64 (*.f64 y x) 2))

Compiler

Compiled 60 to 21 computations (65% saved)

series6.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (cbrt.f64 (pow.f64 (.f64 y x) 2)) (.f64 (cbrt.f64 (.f64 x y)) x))
1.0ms	y	@	-inf	(.f64 (cbrt.f64 (pow.f64 (.f64 y x) 2)) (.f64 (cbrt.f64 (.f64 x y)) x))
0.0ms	y	@	-inf	(pow.f64 (*.f64 y x) 2)
0.0ms	x	@	-inf	(pow.f64 (*.f64 y x) 2)
0.0ms	y	@	0	(pow.f64 (*.f64 y x) 2)

rewrite74.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1044×	`*-commutative`
914×	`sqrt-prod`
872×	`unswap-sqr`
662×	`swap-sqr`
428×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	259	43
2	2873	43

Stop Event

1×	node limit

Counts

3 → 110

Calls

Call 1

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

Outputs

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

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

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

simplify100.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1248×	`distribute-rgt-in`
1244×	`distribute-lft-in`
1054×	`associate-/r/`
676×	`associate-r`
590×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	256	3148
1	653	3096
2	2608	2968
3	7617	2968

Stop Event

1×	node limit

Counts

158 → 147

Calls

Call 1

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

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

eval153.0ms (3.8%)

Compiler: Compiled 11142 to 4516 computations (59.5% saved)

prune218.0ms (5.4%)

Pruning

13 alts after pruning (1 fresh and 12 done)

	Pruned	Kept	Total
New	634	1	635
Fresh	0	0	0
Picked	1	0	1
Done	0	12	12
Total	635	13	648

Error

Counts

648 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	51.32%	(-.f64 x (pow.f64 (*.f64 x (sqrt.f64 y)) 2))
✓	39.99%	(-.f64 x (pow.f64 (sqrt.f64 (.f64 x (.f64 x y))) 2))
✓	0.68%	(-.f64 x (pow.f64 (cbrt.f64 (.f64 x (.f64 x y))) 3))
✓	2.63%	(-.f64 x (.f64 (pow.f64 (.f64 x (cbrt.f64 y)) 2) (cbrt.f64 y)))
✓	0.7%	(-.f64 x (.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 (cbrt.f64 (.f64 x y)) x)))
✓	0.96%	(-.f64 x (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (*.f64 x y))))
✓	0.73%	(-.f64 x (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x y))))
✓	45.15%	(-.f64 x (.f64 (.f64 (*.f64 x y) (sqrt.f64 x)) (sqrt.f64 x)))
✓	3%	(-.f64 x (.f64 (sqrt.f64 (.f64 x (cbrt.f64 x))) (.f64 (cbrt.f64 x) (.f64 x y))))
	7.76%	(-.f64 x (.f64 (cbrt.f64 (.f64 (.f64 y x) (.f64 y x))) (.f64 (cbrt.f64 (.f64 x y)) x)))
✓	14.74%	(-.f64 x (.f64 y (.f64 x x)))
✓	0.16%	(-.f64 x (.f64 x (.f64 x y)))
✓	44.92%	(-.f64 x (sqrt.f64 (.f64 (.f64 y y) (pow.f64 x 4))))

Compiler

Compiled 175 to 105 computations (40% saved)

regimes142.0ms (3.5%)

Accuracy

Total -53.4b remaining (-52599.3%)

Threshold costs -53.4b (-52599.3%)

Counts

18 → 1

Calls

Call 1

Inputs
(.f64 x (-.f64 1 (.f64 x y)))
(-.f64 x (.f64 x (.f64 x y)))
(-.f64 x (.f64 y (.f64 x x)))
(-.f64 x (pow.f64 (*.f64 x (sqrt.f64 y)) 2))
(-.f64 x (sqrt.f64 (.f64 (.f64 y y) (pow.f64 x 4))))
(-.f64 x (pow.f64 (cbrt.f64 (.f64 x (.f64 x y))) 3))
(-.f64 x (pow.f64 (sqrt.f64 (.f64 x (.f64 x y))) 2))
(-.f64 x (.f64 (.f64 (*.f64 x y) (sqrt.f64 x)) (sqrt.f64 x)))
(-.f64 x (.f64 (cbrt.f64 (.f64 (.f64 y x) (.f64 y x))) (.f64 (cbrt.f64 (.f64 x y)) x)))
(-.f64 x (.f64 (pow.f64 (.f64 x (cbrt.f64 y)) 2) (cbrt.f64 y)))
(-.f64 x (.f64 (.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))
(-.f64 x (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x y))))
(-.f64 x (.f64 (sqrt.f64 (.f64 x (cbrt.f64 x))) (.f64 (cbrt.f64 x) (.f64 x y))))
(-.f64 x (.f64 (cbrt.f64 (pow.f64 (.f64 y x) 2)) (.f64 (cbrt.f64 (.f64 x y)) x)))
(-.f64 x (.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 (cbrt.f64 (.f64 x y)) x)))
(-.f64 x (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 y))) 3) 2))
(-.f64 x (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (*.f64 x y))))
(-.f64 x (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x y)))) 2) 3) (cbrt.f64 (.f64 x (*.f64 x y)))))

Outputs
(-.f64 x (.f64 x (.f64 x y)))

Calls

3 calls:

116.0ms	y
12.0ms	(.f64 x (-.f64 1 (.f64 x y)))
9.0ms	x

Results

Error	Segments	Branch
0.16%	1	`x`
0.16%	1	`y`
0.16%	1	`(.f64 x (-.f64 1 (.f64 x y)))`

Compiler

Compiled 232 to 102 computations (56% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative`
16×	`+-commutative`
8×	`distribute-lft-neg-in`
8×	`sub-neg`
8×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	25	38
2	43	38
3	51	38
4	56	38
5	57	38

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 x (.f64 x (.f64 x y)))
(.f64 x (-.f64 1 (.f64 x y)))

Outputs
(-.f64 x (.f64 x (.f64 x y)))
(.f64 x (-.f64 1 (.f64 x y)))

Compiler

Compiled 18 to 11 computations (38.9% saved)

soundness55.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

274×	`fma-def`
186×	`associate-r`
146×	`associate-+r+`
138×	`associate-+l+`
114×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	18	19
2	39	19
3	79	19
4	160	19
5	310	19
6	410	19
7	520	19
8	862	19
9	1075	19
10	1107	19

Stop Event

1×

saturated

Compiler

Compiled 25 to 11 computations (56% saved)

end21.0ms (0.5%)

Compiler: Compiled 16 to 8 computations (50% saved)

Details

analyze51.0ms (1.3%)

sample805.0ms (19.8%)

preprocess36.0ms (0.9%)

simplify30.0ms (0.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series2.0ms (0.1%)

rewrite49.0ms (1.2%)

simplify49.0ms (1.2%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series0.0ms (0%)

rewrite49.0ms (1.2%)

simplify40.0ms (1%)

localize11.0ms (0.3%)

series6.0ms (0.2%)

rewrite59.0ms (1.4%)

simplify75.0ms (1.8%)

localize8.0ms (0.2%)

series6.0ms (0.1%)

rewrite127.0ms (3.1%)

simplify65.0ms (1.6%)

eval23.0ms (0.6%)

prune24.0ms (0.6%)

localize15.0ms (0.4%)

series10.0ms (0.2%)

rewrite74.0ms (1.8%)

simplify89.0ms (2.2%)

localize13.0ms (0.3%)

series2.0ms (0.1%)

rewrite101.0ms (2.5%)

simplify74.0ms (1.8%)

localize10.0ms (0.2%)

series6.0ms (0.1%)

rewrite56.0ms (1.4%)

simplify103.0ms (2.5%)

localize16.0ms (0.4%)

series9.0ms (0.2%)

rewrite67.0ms (1.7%)

simplify66.0ms (1.6%)

localize14.0ms (0.3%)

series5.0ms (0.1%)

rewrite70.0ms (1.7%)

simplify63.0ms (1.5%)

eval92.0ms (2.2%)

prune74.0ms (1.8%)

localize22.0ms (0.6%)

series46.0ms (1.1%)

rewrite57.0ms (1.4%)

simplify59.0ms (1.5%)

localize13.0ms (0.3%)

series2.0ms (0%)

rewrite74.0ms (1.8%)

simplify63.0ms (1.6%)

localize15.0ms (0.4%)

series6.0ms (0.1%)

rewrite72.0ms (1.8%)

simplify67.0ms (1.6%)

localize19.0ms (0.5%)

series55.0ms (1.3%)

rewrite66.0ms (1.6%)

simplify80.0ms (2%)

localize20.0ms (0.5%)

series6.0ms (0.1%)

rewrite74.0ms (1.8%)

simplify100.0ms (2.4%)

eval153.0ms (3.8%)

prune218.0ms (5.4%)

regimes142.0ms (3.5%)

simplify7.0ms (0.2%)

soundness55.0ms (1.3%)

end21.0ms (0.5%)

Profiling