Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	25%	0%	0%	4
83.3%	62.5%	12.5%	0%	25%	0%	0%	5
91.7%	68.7%	6.2%	0%	25%	0%	0%	6
95.8%	71.8%	3.1%	0%	25%	0%	0%	7
97.9%	73.4%	1.6%	0%	25%	0%	0%	8
99%	74.2%	0.8%	0%	25%	0%	0%	9
99.5%	74.6%	0.4%	0%	25%	0%	0%	10
99.7%	74.8%	0.2%	0%	25%	0%	0%	11
99.9%	74.9%	0.1%	0%	25%	0%	0%	12

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample713.0ms (18.7%)

Results

702.0ms	8256×	body	256	valid
0.0ms	4×	body	256	infinite

Bogosity

preprocess4.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	8	13
2	11	13
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(.f64 (.f64 x 3) x)

Outputs
(.f64 (.f64 x 3) x)
(.f64 x (.f64 x 3))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify14.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	8	13
2	11	13

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 (.f64 x 3) x)

Outputs
(.f64 (.f64 x 3) x)
(.f64 x (.f64 x 3))

eval0.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f64 (.f64 x 3) x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x 3) x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1100×	`add-sqr-sqrt`
1086×	`*-un-lft-identity`
1030×	`pow1`
1010×	`add-cube-cbrt`
996×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	120	13
2	1371	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 (.f64 x 3) x)

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

Outputs

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

simplify51.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1124×	`associate-*r/`
1056×	`associate-*l/`
890×	`distribute-lft-in`
882×	`distribute-rgt-in`
816×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	299
1	85	299
2	332	299
3	2166	299
4	6273	299

Stop Event

1×	node limit

Counts

23 → 13

Calls

Call 1

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

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

eval2.0ms (0.1%)

Compiler: Compiled 96 to 71 computations (26% saved)

prune5.0ms (0.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	8	5	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	8	6	14

Error

0.1b

Counts

14 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
▶	0.9b	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
✓	0.2b	(.f64 (.f64 x 3) x)
▶	0.2b	(.f64 3 (.f64 x x))
▶	4.0b	(exp.f64 (log.f64 (.f64 x (.f64 x 3))))
▶	30.1b	(cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 3))

Compiler

Compiled 88 to 66 computations (25% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 3 (.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite61.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`add-sqr-sqrt`
1058×	`*-un-lft-identity`
1006×	`pow1`
984×	`add-cube-cbrt`
976×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1407	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 3 (.f64 x x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 3 (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 3 (.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 9 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 3 (.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3 (*.f64 x x))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x x))))))))

simplify37.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1470×	`distribute-rgt-in`
1446×	`distribute-lft-in`
1164×	`log-prod`
762×	`associate-r`
698×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	299
1	92	299
2	347	299
3	1922	299

Stop Event

1×	node limit

Counts

23 → 13

Calls

Call 1

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

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

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 x 3))
✓	4.0b	(exp.f64 (log.f64 (.f64 x (.f64 x 3))))
✓	18.6b	(log.f64 (.f64 x (.f64 x 3)))

Compiler

Compiled 24 to 16 computations (33.3% saved)

series53.0ms (1.4%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
43.0ms	x	@	0	(log.f64 (.f64 x (.f64 x 3)))
9.0ms	x	@	inf	(log.f64 (.f64 x (.f64 x 3)))
0.0ms	x	@	-inf	(log.f64 (.f64 x (.f64 x 3)))
0.0ms	x	@	0	(exp.f64 (log.f64 (.f64 x (.f64 x 3))))
0.0ms	x	@	inf	(exp.f64 (log.f64 (.f64 x (.f64 x 3))))

rewrite62.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`add-sqr-sqrt`
1414×	`*-un-lft-identity`
1312×	`add-cube-cbrt`
1294×	`add-cbrt-cube`
1278×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
1	169	43
2	1791	43

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

Inputs
(log.f64 (.f64 x (.f64 x 3)))
(exp.f64 (log.f64 (.f64 x (.f64 x 3))))
(.f64 x (.f64 x 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 x 3)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (log.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 x (sqrt.f64 3))) (log.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 2)) (log.f64 (cbrt.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 x x)) (log.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (*.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (*.f64 x (*.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 x (*.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) 2) (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 (*.f64 x 3)) (log.f64 (*.f64 x 3)))) (-.f64 (log.f64 x) (log.f64 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 x 3)) 3)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (-.f64 (*.f64 (log.f64 (*.f64 x 3)) (log.f64 (*.f64 x 3))) (*.f64 (log.f64 x) (log.f64 (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 x (*.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (*.f64 x (*.f64 x 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (*.f64 x (*.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 x (*.f64 x 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 x (*.f64 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 x (*.f64 x 3)) 1))))))

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

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

simplify67.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

956×	`unswap-sqr`
746×	`associate-*r/`
740×	`distribute-lft-in`
730×	`associate--l+`
714×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	1741
1	336	1741
2	1272	1685
3	5550	1685

Stop Event

1×	node limit

Counts

107 → 72

Calls

Call 1

Inputs
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 3))
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 3))
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 3))
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 3))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(+.f64 (log.f64 (*.f64 x 3)) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 (*.f64 x 3)))
(+.f64 (log.f64 (.f64 x (sqrt.f64 3))) (log.f64 (.f64 x (sqrt.f64 3))))
(+.f64 0 (log.f64 (.f64 x (.f64 x 3))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2)) (log.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))
(+.f64 (log.f64 (*.f64 x x)) (log.f64 3))
(+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (*.f64 x 3)) 1))
(-.f64 (+.f64 1 (log.f64 (.f64 x (.f64 x 3)))) 1)
(.f64 (log.f64 (.f64 x (*.f64 x 3))) 1)
(.f64 1 (log.f64 (.f64 x (*.f64 x 3))))
(.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 x 3)))) (sqrt.f64 (log.f64 (.f64 x (*.f64 x 3)))))
(.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 x 3)))) (pow.f64 (cbrt.f64 (log.f64 (.f64 x (*.f64 x 3)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 x 3)))) 2) (cbrt.f64 (log.f64 (.f64 x (*.f64 x 3)))))
(/.f64 (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 (.f64 x 3)) (log.f64 (.f64 x 3)))) (-.f64 (log.f64 x) (log.f64 (*.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (.f64 x 3)) 3)) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (-.f64 (.f64 (log.f64 (.f64 x 3)) (log.f64 (.f64 x 3))) (.f64 (log.f64 x) (log.f64 (*.f64 x 3))))))
(pow.f64 (log.f64 (.f64 x (.f64 x 3))) 1)
(pow.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 x 3)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 x 3)))) 3)
(pow.f64 (pow.f64 (log.f64 (.f64 x (.f64 x 3))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (.f64 x (.f64 x 3))) 2))
(cbrt.f64 (pow.f64 (log.f64 (.f64 x (.f64 x 3))) 3))
(expm1.f64 (log1p.f64 (log.f64 (.f64 x (.f64 x 3)))))
(exp.f64 (log.f64 (log.f64 (.f64 x (.f64 x 3)))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 x (*.f64 x 3)))) 1))
(log1p.f64 (-.f64 (.f64 x (.f64 x 3)) 1))
(+.f64 1 (-.f64 (.f64 x (.f64 x 3)) 1))
(-.f64 (+.f64 1 (.f64 x (.f64 x 3))) 1)
(.f64 x (.f64 x 3))
(.f64 3 (.f64 x x))
(.f64 (.f64 x 3) x)
(.f64 (.f64 x (*.f64 x 3)) 1)
(.f64 1 (.f64 x (*.f64 x 3)))
(.f64 (sqrt.f64 (.f64 x 3)) (.f64 (sqrt.f64 (.f64 x 3)) x))
(.f64 (.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 x 3)))
(.f64 (cbrt.f64 (.f64 9 (.f64 x x))) (.f64 (cbrt.f64 (*.f64 x 3)) x))
(.f64 (cbrt.f64 (.f64 x (.f64 x 3))) (pow.f64 (cbrt.f64 (.f64 x (*.f64 x 3))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) (cbrt.f64 (.f64 x (*.f64 x 3))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x 3)))
(.f64 (.f64 x x) 3)
(.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)))
(.f64 (.f64 x (cbrt.f64 (.f64 9 (.f64 x x)))) (cbrt.f64 (*.f64 x 3)))
(.f64 (.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (.f64 x (.f64 x 3)) 1)
(pow.f64 (*.f64 x (sqrt.f64 3)) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 x 3))))) (sqrt.f64 (log.f64 (.f64 x (.f64 x 3)))))
(pow.f64 (exp.f64 1) (log.f64 (.f64 x (.f64 x 3))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 x 3)))) 2)) (cbrt.f64 (log.f64 (.f64 x (.f64 x 3)))))
(sqrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) x) x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 3))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 3))))
(+.f64 1 (-.f64 (.f64 x (.f64 x 3)) 1))
(-.f64 (+.f64 1 (.f64 x (.f64 x 3))) 1)
(pow.f64 (.f64 x (.f64 x 3)) 1)
(pow.f64 (*.f64 x (sqrt.f64 3)) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 x 3))))) (sqrt.f64 (log.f64 (.f64 x (.f64 x 3)))))
(pow.f64 (exp.f64 1) (log.f64 (.f64 x (.f64 x 3))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 x 3)))) 2)) (cbrt.f64 (log.f64 (.f64 x (.f64 x 3)))))
(sqrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) x) x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 3))))
(exp.f64 (log.f64 (.f64 x (.f64 x 3))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 3))))

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

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (.f64 x (.f64 x 3)) 3)
	0.2b	(.f64 x (.f64 x 3))
✓	29.2b	(cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 3))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite57.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1506×	`add-sqr-sqrt`
1476×	`*-un-lft-identity`
1392×	`add-cube-cbrt`
1378×	`add-cbrt-cube`
1362×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	188	32
2	2024	32

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 3)) (*.f64 (sqrt.f64 (*.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 9 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) (pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2)) (cbrt.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (*.f64 x 3))) (sqrt.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (*.f64 9 (*.f64 x x)))) (cbrt.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2) 1/3) (cbrt.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (*.f64 x 3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3))))))))

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

simplify66.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1652×	`distribute-rgt-in`
1644×	`associate-+r+`
1622×	`distribute-lft-in`
1514×	`associate-+l+`
776×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	137	1488
1	336	1416
2	1356	1416
3	3210	1416

Stop Event

1×	node limit

Counts

86 → 76

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 27 (pow.f64 x 6))
(*.f64 27 (pow.f64 x 6))
(*.f64 27 (pow.f64 x 6))
(*.f64 27 (pow.f64 x 6))
(*.f64 27 (pow.f64 x 6))
(*.f64 27 (pow.f64 x 6))
(*.f64 27 (pow.f64 x 6))
(*.f64 27 (pow.f64 x 6))
(*.f64 27 (pow.f64 x 6))
(*.f64 27 (pow.f64 x 6))
(*.f64 27 (pow.f64 x 6))
(*.f64 27 (pow.f64 x 6))
(-.f64 (+.f64 1 (.f64 x (.f64 x 3))) 1)
(.f64 x (.f64 x 3))
(.f64 3 (.f64 x x))
(.f64 (.f64 x 3) x)
(.f64 (.f64 x (*.f64 x 3)) 1)
(.f64 1 (.f64 x (*.f64 x 3)))
(.f64 (sqrt.f64 (.f64 x 3)) (.f64 (sqrt.f64 (.f64 x 3)) x))
(.f64 (.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 x 3)))
(.f64 (cbrt.f64 (.f64 9 (.f64 x x))) (.f64 (cbrt.f64 (*.f64 x 3)) x))
(.f64 (cbrt.f64 (.f64 x (.f64 x 3))) (cbrt.f64 (pow.f64 (.f64 x (*.f64 x 3)) 2)))
(.f64 (cbrt.f64 (.f64 x (.f64 x 3))) (pow.f64 (pow.f64 (.f64 x (*.f64 x 3)) 2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (cbrt.f64 (.f64 x (*.f64 x 3))))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (.f64 x 3)))
(.f64 (.f64 x x) 3)
(.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)))
(.f64 (.f64 x (cbrt.f64 (.f64 9 (.f64 x x)))) (cbrt.f64 (*.f64 x 3)))
(.f64 (.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (.f64 x 3) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) 1/3) (cbrt.f64 (.f64 x (*.f64 x 3))))
(.f64 (pow.f64 1 1/3) (.f64 x (*.f64 x 3)))
(.f64 (pow.f64 (pow.f64 (.f64 x (.f64 x 3)) 3/2) 1/3) (pow.f64 (pow.f64 (.f64 x (*.f64 x 3)) 3/2) 1/3))
(pow.f64 (.f64 x (.f64 x 3)) 1)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 27) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 3)) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
(sqrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) x) x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 3))))
(exp.f64 (log.f64 (.f64 x (.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 3))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (.f64 x 3)))) 1/3))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 3))))
(-.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) 27)) 1)
(.f64 x (.f64 (.f64 x 3) (pow.f64 (.f64 x (*.f64 x 3)) 2)))
(.f64 (.f64 x 3) (.f64 x (pow.f64 (.f64 x (*.f64 x 3)) 2)))
(.f64 (.f64 x (.f64 x 3)) (pow.f64 (.f64 x (*.f64 x 3)) 2))
(.f64 (.f64 (pow.f64 (*.f64 x x) 3) 27) 1)
(.f64 1 (.f64 (pow.f64 (*.f64 x x) 3) 27))
(.f64 (pow.f64 (.f64 x (.f64 x 3)) 3/2) (pow.f64 (.f64 x (*.f64 x 3)) 3/2))
(.f64 (.f64 x (sqrt.f64 3)) (.f64 (.f64 x (sqrt.f64 3)) (pow.f64 (.f64 x (.f64 x 3)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (.f64 (cbrt.f64 (.f64 x (.f64 x 3))) (pow.f64 (.f64 x (.f64 x 3)) 2)))
(.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 x (*.f64 x 3)))
(.f64 (.f64 x x) (.f64 3 (pow.f64 (.f64 x (*.f64 x 3)) 2)))
(.f64 (pow.f64 x 3) (.f64 27 (pow.f64 x 3)))
(.f64 (.f64 27 (pow.f64 x 3)) (pow.f64 x 3))
(.f64 (.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) x) (*.f64 x 3))
(.f64 (.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (*.f64 x 3)) x)
(.f64 (.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) 1) (.f64 x (.f64 x 3)))
(.f64 (.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 x (sqrt.f64 3))) (.f64 x (sqrt.f64 3)))
(.f64 (.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2))) (cbrt.f64 (.f64 x (.f64 x 3))))
(.f64 (.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (*.f64 x x)) 3)
(.f64 (pow.f64 (.f64 x (sqrt.f64 3)) 3) (pow.f64 (*.f64 x (sqrt.f64 3)) 3))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) 3) (.f64 x (*.f64 x 3)))
(.f64 (pow.f64 (.f64 x x) 3) 27)
(sqrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 6))
(log.f64 (exp.f64 (.f64 (pow.f64 (.f64 x x) 3) 27)))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 27) 3))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (.f64 x x) 3) 27)))
(exp.f64 (.f64 3 (log.f64 (.f64 x (*.f64 x 3)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (.f64 x 3)))) 1))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (.f64 x x) 3) 27)))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 27 (pow.f64 x 6))
(*.f64 27 (pow.f64 x 6))
(*.f64 27 (pow.f64 x 6))
(*.f64 27 (pow.f64 x 6))
(*.f64 27 (pow.f64 x 6))
(*.f64 27 (pow.f64 x 6))
(*.f64 27 (pow.f64 x 6))
(*.f64 27 (pow.f64 x 6))
(*.f64 27 (pow.f64 x 6))
(*.f64 27 (pow.f64 x 6))
(*.f64 27 (pow.f64 x 6))
(*.f64 27 (pow.f64 x 6))
(-.f64 (+.f64 1 (.f64 x (.f64 x 3))) 1)
(.f64 3 (.f64 x x))
(.f64 x (.f64 x 3))
(.f64 3 (.f64 x x))
(.f64 3 (.f64 x x))
(.f64 (.f64 x 3) x)
(.f64 3 (.f64 x x))
(.f64 (.f64 x (*.f64 x 3)) 1)
(.f64 3 (.f64 x x))
(.f64 1 (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 x x))
(.f64 (sqrt.f64 (.f64 x 3)) (.f64 (sqrt.f64 (.f64 x 3)) x))
(.f64 3 (.f64 x x))
(.f64 (.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
(.f64 3 (.f64 x x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 x 3)))
(.f64 3 (.f64 x x))
(.f64 (cbrt.f64 (.f64 9 (.f64 x x))) (.f64 (cbrt.f64 (*.f64 x 3)) x))
(.f64 (cbrt.f64 (.f64 (.f64 x x) 9)) (.f64 x (cbrt.f64 (*.f64 3 x))))
(.f64 x (.f64 (cbrt.f64 (.f64 (.f64 x x) 9)) (cbrt.f64 (*.f64 3 x))))
(.f64 x (.f64 (cbrt.f64 (.f64 x (.f64 x 9))) (cbrt.f64 (*.f64 3 x))))
(.f64 (cbrt.f64 (.f64 x (.f64 x 3))) (cbrt.f64 (pow.f64 (.f64 x (*.f64 x 3)) 2)))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 3 (*.f64 x x)) 2)))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (.f64 9 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 x (.f64 x 3))) (pow.f64 (pow.f64 (.f64 x (*.f64 x 3)) 2) 1/3))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 3 (*.f64 x x)) 2)))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (.f64 9 (pow.f64 x 4))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (cbrt.f64 (.f64 x (*.f64 x 3))))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 3 (*.f64 x x)) 2)))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (.f64 9 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (.f64 x 3)))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 3 x) (cbrt.f64 x)))
(.f64 x (.f64 3 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x))))
(.f64 3 (.f64 (cbrt.f64 (.f64 x x)) (.f64 x (cbrt.f64 x))))
(.f64 (.f64 x x) 3)
(.f64 3 (.f64 x x))
(.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)))
(.f64 3 (.f64 x x))
(.f64 (.f64 x (cbrt.f64 (.f64 9 (.f64 x x)))) (cbrt.f64 (*.f64 x 3)))
(.f64 (cbrt.f64 (.f64 (.f64 x x) 9)) (.f64 x (cbrt.f64 (*.f64 3 x))))
(.f64 x (.f64 (cbrt.f64 (.f64 (.f64 x x) 9)) (cbrt.f64 (*.f64 3 x))))
(.f64 x (.f64 (cbrt.f64 (.f64 x (.f64 x 9))) (cbrt.f64 (*.f64 3 x))))
(.f64 (.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 3 (.f64 x x))
(.f64 (.f64 (.f64 x 3) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 3 x) (cbrt.f64 x)))
(.f64 x (.f64 3 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x))))
(.f64 3 (.f64 (cbrt.f64 (.f64 x x)) (.f64 x (cbrt.f64 x))))
(.f64 (pow.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) 1/3) (cbrt.f64 (.f64 x (*.f64 x 3))))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 3 (*.f64 x x)) 2)))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (.f64 9 (pow.f64 x 4))))
(.f64 (pow.f64 1 1/3) (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 x x))
(.f64 (pow.f64 (pow.f64 (.f64 x (.f64 x 3)) 3/2) 1/3) (pow.f64 (pow.f64 (.f64 x (*.f64 x 3)) 3/2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 x x)) 3/2)) (cbrt.f64 (pow.f64 (.f64 3 (*.f64 x x)) 3/2)))
(pow.f64 (.f64 x (.f64 x 3)) 1)
(.f64 3 (.f64 x x))
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 27) 1/3)
(.f64 3 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 3)) 2)
(.f64 3 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
(.f64 3 (.f64 x x))
(sqrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2))
(.f64 3 (.f64 x x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) x) x))
(.f64 3 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 3))))
(.f64 3 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x 3))))
(.f64 3 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 3))) 1))
(.f64 3 (.f64 x x))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (.f64 x 3)))) 1/3))
(.f64 3 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 3))))
(.f64 3 (.f64 x x))
(-.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) 27)) 1)
(*.f64 27 (pow.f64 x 6))
(.f64 x (.f64 (.f64 x 3) (pow.f64 (.f64 x (*.f64 x 3)) 2)))
(*.f64 27 (pow.f64 x 6))
(.f64 (.f64 x 3) (.f64 x (pow.f64 (.f64 x (*.f64 x 3)) 2)))
(*.f64 27 (pow.f64 x 6))
(.f64 (.f64 x (.f64 x 3)) (pow.f64 (.f64 x (*.f64 x 3)) 2))
(*.f64 27 (pow.f64 x 6))
(.f64 (.f64 (pow.f64 (*.f64 x x) 3) 27) 1)
(*.f64 27 (pow.f64 x 6))
(.f64 1 (.f64 (pow.f64 (*.f64 x x) 3) 27))
(*.f64 27 (pow.f64 x 6))
(.f64 (pow.f64 (.f64 x (.f64 x 3)) 3/2) (pow.f64 (.f64 x (*.f64 x 3)) 3/2))
(*.f64 27 (pow.f64 x 6))
(.f64 (.f64 x (sqrt.f64 3)) (.f64 (.f64 x (sqrt.f64 3)) (pow.f64 (.f64 x (.f64 x 3)) 2)))
(*.f64 27 (pow.f64 x 6))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (.f64 (cbrt.f64 (.f64 x (.f64 x 3))) (pow.f64 (.f64 x (.f64 x 3)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 x x)) 2)) (.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (pow.f64 (.f64 3 (.f64 x x)) 2)))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (pow.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))) 4))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 7))
(.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 x (*.f64 x 3)))
(*.f64 27 (pow.f64 x 6))
(.f64 (.f64 x x) (.f64 3 (pow.f64 (.f64 x (*.f64 x 3)) 2)))
(*.f64 27 (pow.f64 x 6))
(.f64 (pow.f64 x 3) (.f64 27 (pow.f64 x 3)))
(*.f64 27 (pow.f64 x 6))
(.f64 (.f64 27 (pow.f64 x 3)) (pow.f64 x 3))
(*.f64 27 (pow.f64 x 6))
(.f64 (.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) x) (*.f64 x 3))
(*.f64 27 (pow.f64 x 6))
(.f64 (.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (*.f64 x 3)) x)
(*.f64 27 (pow.f64 x 6))
(.f64 (.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) 1) (.f64 x (.f64 x 3)))
(*.f64 27 (pow.f64 x 6))
(.f64 (.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 x (sqrt.f64 3))) (.f64 x (sqrt.f64 3)))
(*.f64 27 (pow.f64 x 6))
(.f64 (.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2))) (cbrt.f64 (.f64 x (.f64 x 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 x x)) 2)) (.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (pow.f64 (.f64 3 (.f64 x x)) 2)))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (pow.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))) 4))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 7))
(.f64 (.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (*.f64 x x)) 3)
(*.f64 27 (pow.f64 x 6))
(.f64 (pow.f64 (.f64 x (sqrt.f64 3)) 3) (pow.f64 (*.f64 x (sqrt.f64 3)) 3))
(*.f64 27 (pow.f64 x 6))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) 3) (.f64 x (*.f64 x 3)))
(*.f64 27 (pow.f64 x 6))
(.f64 (pow.f64 (.f64 x x) 3) 27)
(*.f64 27 (pow.f64 x 6))
(sqrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 6))
(*.f64 27 (pow.f64 x 6))
(log.f64 (exp.f64 (.f64 (pow.f64 (.f64 x x) 3) 27)))
(*.f64 27 (pow.f64 x 6))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 27) 3))
(*.f64 27 (pow.f64 x 6))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (.f64 x x) 3) 27)))
(*.f64 27 (pow.f64 x 6))
(exp.f64 (.f64 3 (log.f64 (.f64 x (*.f64 x 3)))))
(*.f64 27 (pow.f64 x 6))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (.f64 x 3)))) 1))
(*.f64 27 (pow.f64 x 6))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (.f64 x x) 3) 27)))
(*.f64 27 (pow.f64 x 6))

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(.f64 x (.f64 x 3))
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
✓	18.7b	(cbrt.f64 (.f64 x (.f64 x 3)))

Compiler

Compiled 25 to 17 computations (32% saved)

series3.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

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

rewrite58.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`add-sqr-sqrt`
1456×	`*-un-lft-identity`
1372×	`add-cube-cbrt`
1354×	`add-cbrt-cube`
1338×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	186	30
2	1958	30

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify72.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

792×	`distribute-rgt-in`
774×	`distribute-lft-in`
738×	`associate-+r+`
648×	`associate-+l+`
572×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	123	1961
1	268	1701
2	897	1485
3	2104	1485
4	6438	1485

Stop Event

1×	node limit

Counts

59 → 80

Calls

Call 1

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

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

localize84.0ms (2.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(.f64 x (.f64 x 3))
✓	0.4b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
✓	18.1b	(sqrt.f64 (.f64 x (.f64 x 3)))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(sqrt.f64 (.f64 x (.f64 x 3)))
0.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
0.0ms	x	@	inf	(sqrt.f64 (.f64 x (.f64 x 3)))
0.0ms	x	@	inf	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
0.0ms	x	@	-inf	(sqrt.f64 (.f64 x (.f64 x 3)))

rewrite85.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1550×	`add-sqr-sqrt`
1528×	`*-un-lft-identity`
1424×	`add-cube-cbrt`
1408×	`add-cbrt-cube`
1394×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	204	24
2	2036	24

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(sqrt.f64 (.f64 x (.f64 x 3)))
(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)

Outputs

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

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

simplify56.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1558×	`associate-+r+`
1426×	`distribute-rgt-in`
1422×	`distribute-lft-in`
1386×	`associate-+l+`
654×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	1703
1	299	1313
2	1456	1297
3	3522	1297

Stop Event

1×	node limit

Counts

81 → 75

Calls

Call 1

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

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

eval101.0ms (2.7%)

Compiler: Compiled 3604 to 2532 computations (29.7% saved)

prune68.0ms (1.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	310	9	319
Fresh	0	0	0
Picked	1	0	1
Done	2	3	5
Total	313	12	325

Error

0.0b

Counts

325 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	1.4b	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) 2) 3)
▶	33.3b	(pow.f64 (.f64 (sqrt.f64 (.f64 x 3)) (sqrt.f64 x)) 2)
▶	0.5b	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
✓	0.9b	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
	0.6b	(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
▶	0.9b	(.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) (cbrt.f64 (.f64 x (*.f64 x 3))))
	1.0b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x 3)))
▶	33.2b	(.f64 (.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))
✓	0.2b	(.f64 (.f64 x 3) x)
	0.7b	(.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 3 x) (cbrt.f64 x)))
✓	0.2b	(.f64 3 (.f64 x x))
▶	21.9b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 207 to 155 computations (25.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
✓	0.4b	(*.f64 (sqrt.f64 3) x)

Compiler

Compiled 16 to 13 computations (18.8% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 (sqrt.f64 3) x)
0.0ms	x	@	-inf	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
0.0ms	x	@	0	(*.f64 (sqrt.f64 3) x)
0.0ms	x	@	inf	(*.f64 (sqrt.f64 3) x)
0.0ms	x	@	0	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)

rewrite54.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`add-sqr-sqrt`
1448×	`*-un-lft-identity`
1346×	`add-cube-cbrt`
1332×	`add-cbrt-cube`
1320×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	184	24
2	2009	24

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 3) x)
(pow.f64 (*.f64 (sqrt.f64 3) x) 2)

Outputs

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

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

simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1330×	`distribute-lft-in`
1316×	`distribute-rgt-in`
964×	`associate-+r+`
896×	`associate-+l+`
870×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	1167
1	198	753
2	827	661
3	2314	661
4	7924	661

Stop Event

1×	node limit

Counts

49 → 44

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 9 (pow.f64 x 4))
✓	21.2b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 9 (pow.f64 x 4))
0.0ms	x	@	inf	(*.f64 9 (pow.f64 x 4))
0.0ms	x	@	0	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
0.0ms	x	@	inf	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
0.0ms	x	@	-inf	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

rewrite55.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1518×	`add-sqr-sqrt`
1496×	`*-un-lft-identity`
1404×	`add-cube-cbrt`
1394×	`add-cbrt-cube`
1376×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	185	26
2	2030	26

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
(*.f64 9 (pow.f64 x 4))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 3) x) (*.f64 (sqrt.f64 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) (cbrt.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) (cbrt.f64 (*.f64 9 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 81))) (sqrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 9 1/2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 81)) 1/2) (pow.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 3) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 9 (pow.f64 x 4)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 9 (pow.f64 x 4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 9 (pow.f64 x 4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 9 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 8) 81) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 9 (pow.f64 x 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 9 (pow.f64 x 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 9 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 9 (pow.f64 x 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9 (pow.f64 x 4))))))))

simplify59.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1494×	`distribute-lft-in`
1460×	`distribute-rgt-in`
1244×	`fma-def`
592×	`associate--l+`
526×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	887
1	211	809
2	704	731
3	2409	731
4	7358	731

Stop Event

1×	node limit

Counts

51 → 44

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(-.f64 (+.f64 1 (.f64 3 (.f64 x x))) 1)
(.f64 (.f64 3 (*.f64 x x)) 1)
(.f64 1 (.f64 3 (*.f64 x x)))
(.f64 (.f64 (sqrt.f64 3) x) (*.f64 (sqrt.f64 3) x))
(.f64 3 (.f64 x x))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))) (cbrt.f64 (.f64 3 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (.f64 9 (pow.f64 x 4))))
(.f64 (.f64 x x) 3)
(.f64 (.f64 x x) (pow.f64 9 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81))) (sqrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))
(.f64 (pow.f64 9 1/2) (.f64 x x))
(.f64 (pow.f64 1 1/2) (.f64 3 (*.f64 x x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81)) 1/2) (pow.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 1/2))
(pow.f64 (*.f64 9 (pow.f64 x 4)) 1/2)
(pow.f64 (.f64 3 (.f64 x x)) 1)
(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
(pow.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 9 (pow.f64 x 4)) 3/2) 1/3)
(fabs.f64 (.f64 3 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 9 (pow.f64 x 4)) 3/2))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 x x))))
(exp.f64 (log.f64 (.f64 3 (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 9 (pow.f64 x 4))) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 3 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 x x))))
(-.f64 (+.f64 1 (*.f64 9 (pow.f64 x 4))) 1)
(pow.f64 (*.f64 9 (pow.f64 x 4)) 1)
(pow.f64 (.f64 3 (.f64 x x)) 2)
(pow.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (pow.f64 x 8) 81) 1/2)
(pow.f64 (pow.f64 (*.f64 9 (pow.f64 x 4)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 8) 81))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 9))
(cbrt.f64 (pow.f64 (*.f64 9 (pow.f64 x 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 9 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 9 (pow.f64 x 4))))
(exp.f64 (.f64 (log.f64 (.f64 9 (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 9 (pow.f64 x 4))))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(-.f64 (+.f64 1 (.f64 3 (.f64 x x))) 1)
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(.f64 (.f64 3 (*.f64 x x)) 1)
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(.f64 1 (.f64 3 (*.f64 x x)))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(.f64 (.f64 (sqrt.f64 3) x) (*.f64 (sqrt.f64 3) x))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(.f64 3 (.f64 x x))
(.f64 (.f64 3 x) x)
(.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))) (cbrt.f64 (.f64 3 (.f64 x x))))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (.f64 9 (pow.f64 x 4))))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(.f64 (.f64 x x) 3)
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(.f64 (.f64 x x) (pow.f64 9 1/2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81))) (sqrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))
(.f64 (pow.f64 9 1/2) (.f64 x x))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(.f64 (pow.f64 1 1/2) (.f64 3 (*.f64 x x)))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81)) 1/2) (pow.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81))) (sqrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))
(pow.f64 (*.f64 9 (pow.f64 x 4)) 1/2)
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(pow.f64 (.f64 3 (.f64 x x)) 1)
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 3)
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(pow.f64 (pow.f64 (*.f64 9 (pow.f64 x 4)) 3/2) 1/3)
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(fabs.f64 (.f64 3 (.f64 x x)))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 9 (pow.f64 x 4)) 3/2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 x x))))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(exp.f64 (log.f64 (.f64 3 (.f64 x x))))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 9 (pow.f64 x 4))) 1/2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 3 (*.f64 x x))) 1))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 x x))))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(-.f64 (+.f64 1 (*.f64 9 (pow.f64 x 4))) 1)
(+.f64 (+.f64 1 (*.f64 9 (pow.f64 x 4))) -1)
(+.f64 (*.f64 9 (pow.f64 x 4)) 0)
(*.f64 9 (pow.f64 x 4))
(pow.f64 (*.f64 9 (pow.f64 x 4)) 1)
(+.f64 (+.f64 1 (*.f64 9 (pow.f64 x 4))) -1)
(+.f64 (*.f64 9 (pow.f64 x 4)) 0)
(*.f64 9 (pow.f64 x 4))
(pow.f64 (.f64 3 (.f64 x x)) 2)
(+.f64 (+.f64 1 (*.f64 9 (pow.f64 x 4))) -1)
(+.f64 (*.f64 9 (pow.f64 x 4)) 0)
(*.f64 9 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 3)
(+.f64 (+.f64 1 (*.f64 9 (pow.f64 x 4))) -1)
(+.f64 (*.f64 9 (pow.f64 x 4)) 0)
(*.f64 9 (pow.f64 x 4))
(pow.f64 (*.f64 (pow.f64 x 8) 81) 1/2)
(+.f64 (+.f64 1 (*.f64 9 (pow.f64 x 4))) -1)
(+.f64 (*.f64 9 (pow.f64 x 4)) 0)
(*.f64 9 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 9 (pow.f64 x 4)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 9 (pow.f64 x 4))) -1)
(+.f64 (*.f64 9 (pow.f64 x 4)) 0)
(*.f64 9 (pow.f64 x 4))
(sqrt.f64 (*.f64 (pow.f64 x 8) 81))
(+.f64 (+.f64 1 (*.f64 9 (pow.f64 x 4))) -1)
(+.f64 (*.f64 9 (pow.f64 x 4)) 0)
(*.f64 9 (pow.f64 x 4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 9))
(+.f64 (+.f64 1 (*.f64 9 (pow.f64 x 4))) -1)
(+.f64 (*.f64 9 (pow.f64 x 4)) 0)
(*.f64 9 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 9 (pow.f64 x 4)) 3))
(+.f64 (+.f64 1 (*.f64 9 (pow.f64 x 4))) -1)
(+.f64 (*.f64 9 (pow.f64 x 4)) 0)
(*.f64 9 (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 9 (pow.f64 x 4))))
(+.f64 (+.f64 1 (*.f64 9 (pow.f64 x 4))) -1)
(+.f64 (*.f64 9 (pow.f64 x 4)) 0)
(*.f64 9 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 9 (pow.f64 x 4))))
(+.f64 (+.f64 1 (*.f64 9 (pow.f64 x 4))) -1)
(+.f64 (*.f64 9 (pow.f64 x 4)) 0)
(*.f64 9 (pow.f64 x 4))
(exp.f64 (.f64 (log.f64 (.f64 9 (pow.f64 x 4))) 1))
(+.f64 (+.f64 1 (*.f64 9 (pow.f64 x 4))) -1)
(+.f64 (*.f64 9 (pow.f64 x 4)) 0)
(*.f64 9 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 9 (pow.f64 x 4))))
(+.f64 (+.f64 1 (*.f64 9 (pow.f64 x 4))) -1)
(+.f64 (*.f64 9 (pow.f64 x 4)) 0)
(*.f64 9 (pow.f64 x 4))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))
✓	0.1b	(.f64 (.f64 x 3) (sqrt.f64 x))

Compiler

Compiled 23 to 12 computations (47.8% saved)

series2.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

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

rewrite69.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1640×	`add-sqr-sqrt`
1622×	`*-un-lft-identity`
1506×	`add-cube-cbrt`
1482×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	180	26
2	2114	26

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(.f64 (.f64 x 3) (sqrt.f64 x))
(.f64 (.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))

Outputs

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

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

simplify41.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1186×	`distribute-lft-in`
1136×	`distribute-rgt-in`
836×	`associate-+r+`
798×	`associate-+l+`
784×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	494
1	177	494
2	669	494
3	2321	494

Stop Event

1×	node limit

Counts

38 → 31

Calls

Call 1

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

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

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (*.f64 x 3))
✓	0.2b	(.f64 (sqrt.f64 (.f64 x 3)) (sqrt.f64 x))
✓	0.2b	(pow.f64 (.f64 (sqrt.f64 (.f64 x 3)) (sqrt.f64 x)) 2)

Compiler

Compiled 29 to 19 computations (34.5% saved)

series3.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(pow.f64 (.f64 (sqrt.f64 (.f64 x 3)) (sqrt.f64 x)) 2)
1.0ms	x	@	-inf	(sqrt.f64 (*.f64 x 3))
0.0ms	x	@	0	(sqrt.f64 (*.f64 x 3))
0.0ms	x	@	inf	(sqrt.f64 (*.f64 x 3))
0.0ms	x	@	0	(pow.f64 (.f64 (sqrt.f64 (.f64 x 3)) (sqrt.f64 x)) 2)

rewrite74.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1826×	`add-sqr-sqrt`
1804×	`*-un-lft-identity`
1674×	`add-cube-cbrt`
1656×	`add-cbrt-cube`
202×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	51
1	225	35
2	2513	35

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

Inputs
(pow.f64 (.f64 (sqrt.f64 (.f64 x 3)) (sqrt.f64 x)) 2)
(.f64 (sqrt.f64 (.f64 x 3)) (sqrt.f64 x))
(sqrt.f64 (*.f64 x 3))

Outputs

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

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

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

simplify63.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1012×	`*-commutative`
704×	`+-commutative`
668×	`swap-sqr`
638×	`cube-prod`
614×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	1791
1	372	1429
2	1783	1413
3	5099	1413

Stop Event

1×	node limit

Counts

95 → 96

Calls

Call 1

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

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

localize49.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 x (.f64 x 3))
✓	0.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) (cbrt.f64 (.f64 x (*.f64 x 3))))
✓	0.4b	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2)
	18.7b	(cbrt.f64 (.f64 x (.f64 x 3)))

Compiler

Compiled 41 to 29 computations (29.3% saved)

series4.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) (cbrt.f64 (.f64 x (*.f64 x 3))))
0.0ms	x	@	0	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2)
0.0ms	x	@	inf	(.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) (cbrt.f64 (.f64 x (*.f64 x 3))))
0.0ms	x	@	inf	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2)
0.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2)

rewrite69.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1668×	`add-sqr-sqrt`
1640×	`*-un-lft-identity`
1534×	`add-cube-cbrt`
1514×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	224	36
2	2273	36

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2)
(.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) (cbrt.f64 (.f64 x (*.f64 x 3))))

Outputs

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

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

simplify93.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1406×	`associate-r`
1276×	`associate-l`
1142×	`associate-+r+`
1064×	`associate-+l+`
386×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	959
1	180	959
2	570	959
3	3774	875

Stop Event

1×	node limit

Counts

47 → 44

Calls

Call 1

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

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

eval175.0ms (4.6%)

Compiler: Compiled 3988 to 2939 computations (26.3% saved)

prune43.0ms (1.1%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	321	2	323
Fresh	0	4	4
Picked	0	1	1
Done	2	5	7
Total	323	12	335

Error

0.0b

Counts

335 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	1.4b	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) 2) 3)
✓	0.5b	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
✓	0.9b	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
▶	0.6b	(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
✓	0.9b	(.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) (cbrt.f64 (.f64 x (*.f64 x 3))))
▶	1.0b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x 3)))
✓	0.2b	(.f64 (.f64 x 3) x)
▶	33.1b	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))
▶	40.8b	(.f64 (sqrt.f64 (.f64 x (.f64 (.f64 x x) 9))) (sqrt.f64 x))
▶	0.7b	(.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 3 x) (cbrt.f64 x)))
✓	0.2b	(.f64 3 (.f64 x x))
✓	21.9b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 179 to 133 computations (25.7% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
✓	1.0b	(pow.f64 (sqrt.f64 3) 2)

Compiler

Compiled 21 to 15 computations (28.6% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
0.0ms	x	@	inf	(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
0.0ms	x	@	-inf	(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))

rewrite54.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1474×	`add-sqr-sqrt`
1454×	`*-un-lft-identity`
1350×	`add-cube-cbrt`
1340×	`add-cbrt-cube`
1328×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	205	14
2	1990	14

Stop Event

1×	node limit

Counts

2 → 13

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 3) 2)
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 3)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 3) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x x))))))))

simplify39.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1516×	`distribute-rgt-in`
1500×	`distribute-lft-in`
1328×	`log-prod`
822×	`associate-r`
690×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	553
1	101	313
2	395	313
3	2169	313

Stop Event

1×	node limit

Counts

25 → 17

Calls

Call 1

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

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

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))
✓	0.1b	(*.f64 3 (pow.f64 x 3/2))

Compiler

Compiled 22 to 15 computations (31.8% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(*.f64 3 (pow.f64 x 3/2))
0.0ms	x	@	-inf	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))
0.0ms	x	@	0	(*.f64 3 (pow.f64 x 3/2))
0.0ms	x	@	inf	(*.f64 3 (pow.f64 x 3/2))
0.0ms	x	@	0	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))

rewrite60.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1746×	`add-sqr-sqrt`
1714×	`*-un-lft-identity`
1610×	`add-cube-cbrt`
1588×	`add-cbrt-cube`
190×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	206	26
2	2402	26

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 3/2))
(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (pow.f64 x 3/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (pow.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/4) (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (pow.f64 x 3/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (pow.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (pow.f64 x 3/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (pow.f64 x 3/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (pow.f64 x 3/2))))))))

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

simplify67.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1170×	`distribute-lft-in`
1128×	`distribute-rgt-in`
860×	`fma-def`
814×	`associate-+r+`
778×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	76	558
1	181	494
2	661	494
3	1915	494
4	7681	494

Stop Event

1×	node limit

Counts

38 → 33

Calls

Call 1

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

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

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 3 x) (cbrt.f64 x)))
✓	0.3b	(.f64 (.f64 3 x) (cbrt.f64 x))
✓	0.6b	(cbrt.f64 x)
✓	18.8b	(cbrt.f64 (*.f64 x x))

Compiler

Compiled 32 to 14 computations (56.3% saved)

series51.0ms (1.3%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
47.0ms	x	@	-inf	(.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 3 x) (cbrt.f64 x)))
1.0ms	x	@	0	(.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 3 x) (cbrt.f64 x)))
1.0ms	x	@	inf	(.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 3 x) (cbrt.f64 x)))
0.0ms	x	@	-inf	(cbrt.f64 x)
0.0ms	x	@	-inf	(.f64 (.f64 3 x) (cbrt.f64 x))

rewrite67.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1900×	`add-sqr-sqrt`
1876×	`*-un-lft-identity`
1748×	`add-cube-cbrt`
1720×	`add-cbrt-cube`
202×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	66
1	216	46
2	2562	46

Stop Event

1×	node limit

Counts

4 → 75

Calls

Call 1

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

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

simplify57.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1828×	`distribute-rgt-in`
1812×	`distribute-lft-in`
1212×	`associate-+r+`
1124×	`associate-+l+`
792×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	1165
1	316	1147
2	1144	1137
3	3604	1137

Stop Event

1×	node limit

Counts

87 → 92

Calls

Call 1

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

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

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (sqrt.f64 (.f64 x (.f64 (.f64 x x) 9))) (sqrt.f64 x))
✓	0.1b	(.f64 x (.f64 (*.f64 x x) 9))
✓	0.2b	(.f64 (.f64 x x) 9)
✓	24.1b	(sqrt.f64 (.f64 x (.f64 (*.f64 x x) 9)))

Compiler

Compiled 39 to 18 computations (53.8% saved)

series40.0ms (1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
37.0ms	x	@	inf	(.f64 x (.f64 (*.f64 x x) 9))
1.0ms	x	@	-inf	(.f64 (sqrt.f64 (.f64 x (.f64 (.f64 x x) 9))) (sqrt.f64 x))
0.0ms	x	@	-inf	(sqrt.f64 (.f64 x (.f64 (*.f64 x x) 9)))
0.0ms	x	@	0	(.f64 x (.f64 (*.f64 x x) 9))
0.0ms	x	@	-inf	(.f64 x (.f64 (*.f64 x x) 9))

rewrite68.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1946×	`add-sqr-sqrt`
1928×	`*-un-lft-identity`
1794×	`add-cube-cbrt`
1766×	`add-cbrt-cube`
206×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	84
1	223	56
2	2635	56

Stop Event

1×	node limit

Counts

4 → 70

Calls

Call 1

Inputs
(sqrt.f64 (.f64 x (.f64 (*.f64 x x) 9)))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 (*.f64 x x) 9))
(.f64 (sqrt.f64 (.f64 x (.f64 (.f64 x x) 9))) (sqrt.f64 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (pow.f64 x 3)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (sqrt.f64 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 9 (pow.f64 x 3)) 1/4) (pow.f64 (.f64 9 (pow.f64 x 3)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 3) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (cbrt.f64 9)) (cbrt.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) 3)) (.f64 x (cbrt.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (.f64 (cbrt.f64 (sqrt.f64 x)) (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (.f64 x (cbrt.f64 9)) 2)) (sqrt.f64 (.f64 x (cbrt.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 x 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (.f64 (sqrt.f64 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 x (cbrt.f64 9)) 2) 1/2) (pow.f64 (.f64 x (cbrt.f64 9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 x 3) 1/2) (pow.f64 9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 9 (pow.f64 x 3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 9 (pow.f64 x 3)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 9 (pow.f64 x 3)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 9 (pow.f64 x 3)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 9 (pow.f64 x 3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 x 9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 x 9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 4) 81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (.f64 x 9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (.f64 x 9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 x 9))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 9 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 9 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (cbrt.f64 9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 81) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 9 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 9 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 9 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 9 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 9 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 9 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 9 (pow.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) (.f64 x 9)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 3) (.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 x (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (*.f64 x 3))))))))

simplify85.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1296×	`log-prod`
982×	`unswap-sqr`
628×	`*-commutative`
530×	`sqr-pow`
494×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	1604
1	387	1604
2	1362	1492
3	4553	1492

Stop Event

1×	node limit

Counts

106 → 88

Calls

Call 1

Inputs
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 3))
(*.f64 9 (pow.f64 x 3))
(*.f64 9 (pow.f64 x 3))
(*.f64 9 (pow.f64 x 3))
(*.f64 9 (pow.f64 x 3))
(*.f64 9 (pow.f64 x 3))
(*.f64 9 (pow.f64 x 3))
(*.f64 9 (pow.f64 x 3))
(*.f64 9 (pow.f64 x 3))
(*.f64 9 (pow.f64 x 3))
(*.f64 9 (pow.f64 x 3))
(*.f64 9 (pow.f64 x 3))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(.f64 (sqrt.f64 -9) (.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(.f64 (sqrt.f64 -9) (.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(.f64 (sqrt.f64 -9) (.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(.f64 (sqrt.f64 -9) (.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) 3))) 1)
(.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) 3) 1)
(.f64 (sqrt.f64 x) (.f64 x 3))
(.f64 1 (.f64 (sqrt.f64 (pow.f64 x 3)) 3))
(.f64 (pow.f64 (.f64 9 (pow.f64 x 3)) 1/4) (pow.f64 (*.f64 9 (pow.f64 x 3)) 1/4))
(.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) (*.f64 x 3)))
(.f64 (.f64 x 3) (sqrt.f64 x))
(.f64 (.f64 x (cbrt.f64 9)) (cbrt.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) 3)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) 3)) (*.f64 x (cbrt.f64 9)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 x 3)))
(.f64 (sqrt.f64 (pow.f64 (.f64 x (cbrt.f64 9)) 2)) (sqrt.f64 (*.f64 x (cbrt.f64 9))))
(*.f64 (sqrt.f64 (pow.f64 x 3)) 3)
(.f64 (pow.f64 1 1/2) (.f64 (sqrt.f64 (pow.f64 x 3)) 3))
(.f64 (pow.f64 (pow.f64 (.f64 x (cbrt.f64 9)) 2) 1/2) (pow.f64 (*.f64 x (cbrt.f64 9)) 1/2))
(*.f64 (pow.f64 (pow.f64 x 3) 1/2) (pow.f64 9 1/2))
(pow.f64 (*.f64 9 (pow.f64 x 3)) 1/2)
(pow.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) 3) 1)
(pow.f64 (pow.f64 (*.f64 9 (pow.f64 x 3)) 1/4) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) 3)) 3)
(pow.f64 (pow.f64 (*.f64 9 (pow.f64 x 3)) 3/2) 1/3)
(fabs.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) 3))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) 3))))
(cbrt.f64 (pow.f64 (*.f64 9 (pow.f64 x 3)) 3/2))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) 3)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) 3)))
(exp.f64 (.f64 (log.f64 (.f64 9 (pow.f64 x 3))) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) 3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) 3)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 9)))) 1)
(pow.f64 (.f64 x (.f64 x 9)) 1)
(pow.f64 (*.f64 x 3) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 9))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x 9)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 81))
(log.f64 (pow.f64 (exp.f64 9) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 9)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 9)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 9))))
(exp.f64 (log.f64 (.f64 x (.f64 x 9))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 9))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 9))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 9 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 9 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) 3) 2)
(pow.f64 (*.f64 x (cbrt.f64 9)) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 81) 1/2)
(pow.f64 (pow.f64 (*.f64 9 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 81))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 9))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 9 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 9 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 9 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 9 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 9 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 9 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 1)
(pow.f64 (.f64 x (.f64 x 3)) 1)
(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
(pow.f64 (.f64 (pow.f64 x 3) (.f64 x 9)) 1/2)
(pow.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 x 3) (.f64 x 9)))
(log.f64 (exp.f64 (.f64 x (.f64 x 3))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 3)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 3))))
(exp.f64 (log.f64 (.f64 x (.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 3))))

Outputs
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 3))
(*.f64 9 (pow.f64 x 3))
(*.f64 9 (pow.f64 x 3))
(*.f64 9 (pow.f64 x 3))
(*.f64 9 (pow.f64 x 3))
(*.f64 9 (pow.f64 x 3))
(*.f64 9 (pow.f64 x 3))
(*.f64 9 (pow.f64 x 3))
(*.f64 9 (pow.f64 x 3))
(*.f64 9 (pow.f64 x 3))
(*.f64 9 (pow.f64 x 3))
(*.f64 9 (pow.f64 x 3))
(*.f64 3 (pow.f64 x 2))
(.f64 x (.f64 x 3))
(*.f64 3 (pow.f64 x 2))
(.f64 x (.f64 x 3))
(*.f64 3 (pow.f64 x 2))
(.f64 x (.f64 x 3))
(*.f64 3 (pow.f64 x 2))
(.f64 x (.f64 x 3))
(*.f64 3 (pow.f64 x 2))
(.f64 x (.f64 x 3))
(*.f64 3 (pow.f64 x 2))
(.f64 x (.f64 x 3))
(*.f64 3 (pow.f64 x 2))
(.f64 x (.f64 x 3))
(*.f64 3 (pow.f64 x 2))
(.f64 x (.f64 x 3))
(.f64 (sqrt.f64 -9) (.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(.f64 (sqrt.f64 -9) (.f64 (sqrt.f64 -1) (*.f64 x x)))
(.f64 (sqrt.f64 -1) (.f64 (*.f64 x x) (sqrt.f64 -9)))
(.f64 x (.f64 x (*.f64 (sqrt.f64 -9) (sqrt.f64 -1))))
(.f64 (sqrt.f64 -9) (.f64 x (*.f64 x (sqrt.f64 -1))))
(.f64 (sqrt.f64 -9) (.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(.f64 (sqrt.f64 -9) (.f64 (sqrt.f64 -1) (*.f64 x x)))
(.f64 (sqrt.f64 -1) (.f64 (*.f64 x x) (sqrt.f64 -9)))
(.f64 x (.f64 x (*.f64 (sqrt.f64 -9) (sqrt.f64 -1))))
(.f64 (sqrt.f64 -9) (.f64 x (*.f64 x (sqrt.f64 -1))))
(.f64 (sqrt.f64 -9) (.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(.f64 (sqrt.f64 -9) (.f64 (sqrt.f64 -1) (*.f64 x x)))
(.f64 (sqrt.f64 -1) (.f64 (*.f64 x x) (sqrt.f64 -9)))
(.f64 x (.f64 x (*.f64 (sqrt.f64 -9) (sqrt.f64 -1))))
(.f64 (sqrt.f64 -9) (.f64 x (*.f64 x (sqrt.f64 -1))))
(.f64 (sqrt.f64 -9) (.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(.f64 (sqrt.f64 -9) (.f64 (sqrt.f64 -1) (*.f64 x x)))
(.f64 (sqrt.f64 -1) (.f64 (*.f64 x x) (sqrt.f64 -9)))
(.f64 x (.f64 x (*.f64 (sqrt.f64 -9) (sqrt.f64 -1))))
(.f64 (sqrt.f64 -9) (.f64 x (*.f64 x (sqrt.f64 -1))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) 3))) 1)
(*.f64 3 (sqrt.f64 (pow.f64 x 3)))
(*.f64 3 (pow.f64 x 3/2))
(.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) 3) 1)
(*.f64 3 (sqrt.f64 (pow.f64 x 3)))
(*.f64 3 (pow.f64 x 3/2))
(.f64 (sqrt.f64 x) (.f64 x 3))
(*.f64 3 (sqrt.f64 (pow.f64 x 3)))
(*.f64 3 (pow.f64 x 3/2))
(.f64 1 (.f64 (sqrt.f64 (pow.f64 x 3)) 3))
(*.f64 3 (sqrt.f64 (pow.f64 x 3)))
(*.f64 3 (pow.f64 x 3/2))
(.f64 (pow.f64 (.f64 9 (pow.f64 x 3)) 1/4) (pow.f64 (*.f64 9 (pow.f64 x 3)) 1/4))
(*.f64 3 (sqrt.f64 (pow.f64 x 3)))
(*.f64 3 (pow.f64 x 3/2))
(.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) (*.f64 x 3)))
(*.f64 3 (sqrt.f64 (pow.f64 x 3)))
(*.f64 3 (pow.f64 x 3/2))
(.f64 (.f64 x 3) (sqrt.f64 x))
(*.f64 3 (sqrt.f64 (pow.f64 x 3)))
(*.f64 3 (pow.f64 x 3/2))
(.f64 (.f64 x (cbrt.f64 9)) (cbrt.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) 3)))
(.f64 (.f64 x (cbrt.f64 9)) (cbrt.f64 (*.f64 3 (sqrt.f64 (pow.f64 x 3)))))
(.f64 x (.f64 (cbrt.f64 9) (cbrt.f64 (*.f64 3 (sqrt.f64 (pow.f64 x 3))))))
(.f64 x (.f64 (cbrt.f64 9) (cbrt.f64 (*.f64 3 (pow.f64 x 3/2)))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) 3)) (*.f64 x (cbrt.f64 9)))
(.f64 (.f64 x (cbrt.f64 9)) (cbrt.f64 (*.f64 3 (sqrt.f64 (pow.f64 x 3)))))
(.f64 x (.f64 (cbrt.f64 9) (cbrt.f64 (*.f64 3 (sqrt.f64 (pow.f64 x 3))))))
(.f64 x (.f64 (cbrt.f64 9) (cbrt.f64 (*.f64 3 (pow.f64 x 3/2)))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 x 3)))
(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))) (*.f64 x 3))
(.f64 (.f64 x 3) (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(.f64 3 (.f64 (cbrt.f64 x) (*.f64 x (cbrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (pow.f64 (.f64 x (cbrt.f64 9)) 2)) (sqrt.f64 (*.f64 x (cbrt.f64 9))))
(*.f64 3 (sqrt.f64 (pow.f64 x 3)))
(*.f64 3 (pow.f64 x 3/2))
(*.f64 (sqrt.f64 (pow.f64 x 3)) 3)
(*.f64 3 (sqrt.f64 (pow.f64 x 3)))
(*.f64 3 (pow.f64 x 3/2))
(.f64 (pow.f64 1 1/2) (.f64 (sqrt.f64 (pow.f64 x 3)) 3))
(*.f64 3 (sqrt.f64 (pow.f64 x 3)))
(*.f64 3 (pow.f64 x 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 x (cbrt.f64 9)) 2) 1/2) (pow.f64 (*.f64 x (cbrt.f64 9)) 1/2))
(*.f64 3 (sqrt.f64 (pow.f64 x 3)))
(*.f64 3 (pow.f64 x 3/2))
(*.f64 (pow.f64 (pow.f64 x 3) 1/2) (pow.f64 9 1/2))
(*.f64 3 (sqrt.f64 (pow.f64 x 3)))
(*.f64 3 (pow.f64 x 3/2))
(pow.f64 (*.f64 9 (pow.f64 x 3)) 1/2)
(*.f64 3 (sqrt.f64 (pow.f64 x 3)))
(*.f64 3 (pow.f64 x 3/2))
(pow.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) 3) 1)
(*.f64 3 (sqrt.f64 (pow.f64 x 3)))
(*.f64 3 (pow.f64 x 3/2))
(pow.f64 (pow.f64 (*.f64 9 (pow.f64 x 3)) 1/4) 2)
(*.f64 3 (sqrt.f64 (pow.f64 x 3)))
(*.f64 3 (pow.f64 x 3/2))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) 3)) 3)
(*.f64 3 (sqrt.f64 (pow.f64 x 3)))
(*.f64 3 (pow.f64 x 3/2))
(pow.f64 (pow.f64 (*.f64 9 (pow.f64 x 3)) 3/2) 1/3)
(*.f64 3 (sqrt.f64 (pow.f64 x 3)))
(*.f64 3 (pow.f64 x 3/2))
(fabs.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) 3))
(*.f64 3 (sqrt.f64 (pow.f64 x 3)))
(*.f64 3 (pow.f64 x 3/2))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 x 3)))
(*.f64 3 (sqrt.f64 (pow.f64 x 3)))
(*.f64 3 (pow.f64 x 3/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) 3))))
(*.f64 3 (sqrt.f64 (pow.f64 x 3)))
(*.f64 3 (pow.f64 x 3/2))
(cbrt.f64 (pow.f64 (*.f64 9 (pow.f64 x 3)) 3/2))
(*.f64 3 (sqrt.f64 (pow.f64 x 3)))
(*.f64 3 (pow.f64 x 3/2))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) 3)))
(*.f64 3 (sqrt.f64 (pow.f64 x 3)))
(*.f64 3 (pow.f64 x 3/2))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) 3)))
(*.f64 3 (sqrt.f64 (pow.f64 x 3)))
(*.f64 3 (pow.f64 x 3/2))
(exp.f64 (.f64 (log.f64 (.f64 9 (pow.f64 x 3))) 1/2))
(*.f64 3 (sqrt.f64 (pow.f64 x 3)))
(*.f64 3 (pow.f64 x 3/2))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) 3)) 1))
(*.f64 3 (sqrt.f64 (pow.f64 x 3)))
(*.f64 3 (pow.f64 x 3/2))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) 3)))
(*.f64 3 (sqrt.f64 (pow.f64 x 3)))
(*.f64 3 (pow.f64 x 3/2))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 9)))) 1)
(.f64 9 (.f64 x x))
(pow.f64 (.f64 x (.f64 x 9)) 1)
(.f64 9 (.f64 x x))
(pow.f64 (*.f64 x 3) 2)
(.f64 9 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 9))) 3)
(.f64 9 (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 x 9)) 3) 1/3)
(.f64 9 (.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 81))
(.f64 9 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 9) (*.f64 x x)))
(.f64 9 (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 9)))))
(.f64 9 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 9)) 3))
(.f64 9 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 9))))
(.f64 9 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x 9))))
(.f64 9 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 9))) 1))
(.f64 9 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 9))))
(.f64 9 (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 9 (pow.f64 x 3)))) 1)
(*.f64 9 (pow.f64 x 3))
(pow.f64 (*.f64 9 (pow.f64 x 3)) 1)
(*.f64 9 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) 3) 2)
(*.f64 9 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 9)) 3)
(*.f64 9 (pow.f64 x 3))
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 81) 1/2)
(*.f64 9 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 9 (pow.f64 x 3)) 3) 1/3)
(*.f64 9 (pow.f64 x 3))
(sqrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 81))
(*.f64 9 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 9))
(*.f64 9 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 9 (pow.f64 x 3)))))
(*.f64 9 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 9 (pow.f64 x 3)) 3))
(*.f64 9 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 9 (pow.f64 x 3))))
(*.f64 9 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 9 (pow.f64 x 3))))
(*.f64 9 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 9 (pow.f64 x 3))) 1))
(*.f64 9 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 9 (pow.f64 x 3))))
(*.f64 9 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 1)
(.f64 x (.f64 x 3))
(pow.f64 (.f64 x (.f64 x 3)) 1)
(.f64 x (.f64 x 3))
(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
(.f64 x (.f64 x 3))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
(.f64 x (.f64 x 3))
(pow.f64 (.f64 (pow.f64 x 3) (.f64 x 9)) 1/2)
(.f64 x (.f64 x 3))
(pow.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) 1/3)
(.f64 x (.f64 x 3))
(sqrt.f64 (.f64 (pow.f64 x 3) (.f64 x 9)))
(.f64 x (.f64 x 3))
(log.f64 (exp.f64 (.f64 x (.f64 x 3))))
(.f64 x (.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 3)))))
(.f64 x (.f64 x 3))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 3))
(.f64 x (.f64 x 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 3))))
(.f64 x (.f64 x 3))
(exp.f64 (log.f64 (.f64 x (.f64 x 3))))
(.f64 x (.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 3))) 1))
(.f64 x (.f64 x 3))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 3))))
(.f64 x (.f64 x 3))

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x 3)))
✓	0.3b	(.f64 (cbrt.f64 x) (.f64 x 3))
✓	0.5b	(pow.f64 (cbrt.f64 x) 2)
	0.6b	(cbrt.f64 x)

Compiler

Compiled 30 to 17 computations (43.3% saved)

series3.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x 3)))
0.0ms	x	@	-inf	(pow.f64 (cbrt.f64 x) 2)
0.0ms	x	@	0	(pow.f64 (cbrt.f64 x) 2)
0.0ms	x	@	inf	(pow.f64 (cbrt.f64 x) 2)
0.0ms	x	@	0	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x 3)))

rewrite110.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1878×	`add-sqr-sqrt`
1852×	`*-un-lft-identity`
1728×	`add-cube-cbrt`
1700×	`add-cbrt-cube`
202×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	223	41
2	2542	41

Stop Event

1×	node limit

Counts

3 → 44

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 x) 2)
(.f64 (cbrt.f64 x) (.f64 x 3))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x 3)))

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

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

simplify68.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1168×	`distribute-lft-in`
1118×	`distribute-rgt-in`
838×	`fma-def`
802×	`associate-+r+`
766×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	824
1	221	824
2	704	814
3	2355	802
4	7762	802

Stop Event

1×	node limit

Counts

56 → 54

Calls

Call 1

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

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

eval126.0ms (3.3%)

Compiler: Compiled 4069 to 2467 computations (39.4% saved)

prune46.0ms (1.2%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	339	1	340
Fresh	0	1	1
Picked	0	1	1
Done	1	9	10
Total	340	12	352

Error

0.0b

Counts

352 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	1.4b	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) 2) 3)
✓	0.5b	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
✓	0.9b	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
✓	0.6b	(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
✓	1.0b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x 3)))
	1.0b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 x (*.f64 3 (cbrt.f64 x))))
✓	0.2b	(.f64 (.f64 x 3) x)
✓	33.1b	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))
✓	40.8b	(.f64 (sqrt.f64 (.f64 x (.f64 (.f64 x x) 9))) (sqrt.f64 x))
✓	0.7b	(.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 3 x) (cbrt.f64 x)))
✓	0.2b	(.f64 3 (.f64 x x))
✓	21.9b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 111 to 82 computations (26.1% saved)

regimes21.0ms (0.6%)

Accuracy

Total -48.3b remaining (-21303.2%)

Threshold costs -48.3b (-21303.2%)

Counts

18 → 1

Calls

Call 1

Inputs
(.f64 3 (.f64 x x))
(.f64 (.f64 x 3) x)
(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
(exp.f64 (log.f64 (.f64 x (.f64 x 3))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 3))
(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
(.f64 (.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 3 x) (cbrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x (.f64 (.f64 x x) 9))) (sqrt.f64 x))
(pow.f64 (.f64 (sqrt.f64 (.f64 x 3)) (sqrt.f64 x)) 2)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 x (*.f64 3 (cbrt.f64 x))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x 3)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) (cbrt.f64 (.f64 x (*.f64 x 3))))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) 2) 3)

Outputs
(.f64 (.f64 x 3) x)

Calls

2 calls:

10.0ms	x
7.0ms	(.f64 (.f64 x 3) x)

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(.f64 (.f64 x 3) x)`

Compiler

Compiled 164 to 108 computations (34.1% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	11	26

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (.f64 x 3) x)
(.f64 3 (.f64 x x))

Outputs
(.f64 (.f64 x 3) x)
(.f64 x (.f64 x 3))
(.f64 3 (.f64 x x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

soundness0.0ms (0%)

end14.0ms (0.4%)

Compiler: Compiled 11 to 7 computations (36.4% saved)