Details

analyze3.0ms (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)

sample705.0ms (20.9%)

Results

692.0ms	8256×	body	256	valid
0.0ms	5×	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)

simplify12.0ms (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

0.27%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.27%	(.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
✓	0.27%	(.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)

rewrite48.0ms (1.4%)

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))))))))

simplify70.0ms (2.1%)

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)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	9	4	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	9	5	14

Error

0.04%

Counts

14 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.59%	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
▶	1.38%	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
✓	0.27%	(.f64 (.f64 x 3) x)
▶	0.31%	(.f64 3 (.f64 x x))
▶	43.86%	(cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 3))

Compiler

Compiled 39 to 29 computations (25.6% saved)

localize13.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.22%	(pow.f64 (.f64 x (.f64 x 3)) 3)
✓	0.27%	(.f64 x (.f64 x 3))
✓	42.55%	(cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 3))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 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	@	-inf	(cbrt.f64 (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))

rewrite69.0ms (2%)

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	45
1	188	45
2	2024	45

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

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

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 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 (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 cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 27))))) (#(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)))))))

simplify100.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1668×	`associate-+r+`
1652×	`distribute-rgt-in`
1636×	`distribute-lft-in`
1508×	`associate-+l+`
780×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	138	1813
1	339	1741
2	1359	1741
3	3219	1741

Stop Event

1×	node limit

Counts

111 → 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 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 x (.f64 x 3))) 1)
(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))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 27))
(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 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 (.f64 3 x) (.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 (.f64 3 x) (.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 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 (.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))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 27))
(.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 (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 (.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))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.31%	(.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))

rewrite66.0ms (1.9%)

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))))))))

simplify65.0ms (1.9%)

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))

localize18.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.27%	(.f64 x (.f64 x 3))
✓	0.68%	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
✓	31.33%	(cbrt.f64 (.f64 x (.f64 x 3)))

Compiler

Compiled 25 to 17 computations (32% saved)

series4.0ms (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)
0.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
0.0ms	x	@	inf	(cbrt.f64 (.f64 x (.f64 x 3)))

rewrite59.0ms (1.8%)

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))))))))

simplify76.0ms (2.3%)

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))

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.27%	(.f64 x (.f64 x 3))
✓	0.51%	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
✓	30.04%	(sqrt.f64 (.f64 x (.f64 x 3)))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite61.0ms (1.8%)

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))))))))

simplify59.0ms (1.7%)

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))

eval87.0ms (2.6%)

Compiler: Compiled 2749 to 1921 computations (30.1% saved)

prune34.0ms (1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	239	7	246
Fresh	0	0	0
Picked	0	1	1
Done	2	2	4
Total	241	10	251

Error

Counts

251 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.76%	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
▶	1.92%	(pow.f64 (.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 x)) 3)
✓	0.59%	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
	21.54%	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 3)) 2)
▶	1.49%	(.f64 (.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
✓	0.27%	(.f64 (.f64 x 3) x)
	49.95%	(.f64 (sqrt.f64 x) (.f64 (.f64 x (sqrt.f64 (.f64 3 x))) (sqrt.f64 3)))
✓	0.31%	(.f64 3 (.f64 x x))
▶	32.96%	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
▶	43.92%	(cbrt.f64 (*.f64 27 (pow.f64 x 6)))

Compiler

Compiled 153 to 121 computations (20.9% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.51%	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
✓	0.6%	(*.f64 (sqrt.f64 3) x)

Compiler

Compiled 16 to 13 computations (18.8% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite65.0ms (1.9%)

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))))))))

simplify67.0ms (2%)

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))

localize13.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.12%	(*.f64 27 (pow.f64 x 6))
✓	42.55%	(cbrt.f64 (*.f64 27 (pow.f64 x 6)))

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 27 (pow.f64 x 6))
0.0ms	x	@	inf	(*.f64 27 (pow.f64 x 6))
0.0ms	x	@	0	(cbrt.f64 (*.f64 27 (pow.f64 x 6)))
0.0ms	x	@	inf	(cbrt.f64 (*.f64 27 (pow.f64 x 6)))
0.0ms	x	@	-inf	(cbrt.f64 (*.f64 27 (pow.f64 x 6)))

rewrite62.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1532×	`add-sqr-sqrt`
1494×	`*-un-lft-identity`
1414×	`add-cube-cbrt`
1402×	`add-cbrt-cube`
1382×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	183	26
2	2045	26

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 27 (pow.f64 x 6)))
(*.f64 27 (pow.f64 x 6))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x x) 3))))) (#(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 (cbrt.f64 (*.f64 (*.f64 x x) 3)) (cbrt.f64 (*.f64 9 (cbrt.f64 (pow.f64 x 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 9 (cbrt.f64 (pow.f64 x 12)))) (cbrt.f64 (*.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 27)) 1/3) (pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 27)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 9 (cbrt.f64 (pow.f64 x 12))) 1/3) (cbrt.f64 (*.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 27 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 3) 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 (*.f64 x x) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (cbrt.f64 (pow.f64 x 12))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 27 (pow.f64 x 6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 3)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 27 (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 27 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 27)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 27 (pow.f64 x 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 12) 729))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 6)) 27))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 27 (pow.f64 x 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 27 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 27 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 27 (pow.f64 x 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 27 (pow.f64 x 6))))))))

simplify86.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1556×	`distribute-lft-in`
1504×	`distribute-rgt-in`
1126×	`fma-def`
602×	`log-prod`
600×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	874
1	201	802
2	687	730
3	2179	712
4	7460	712

Stop Event

1×	node limit

Counts

46 → 43

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 (.f64 x x) 3)) 1)
(.f64 (.f64 (*.f64 x x) 3) 1)
(.f64 1 (.f64 (*.f64 x x) 3))
(.f64 (.f64 (sqrt.f64 3) x) (*.f64 (sqrt.f64 3) x))
(.f64 (cbrt.f64 (.f64 (.f64 x x) 3)) (cbrt.f64 (.f64 9 (cbrt.f64 (pow.f64 x 12)))))
(.f64 (cbrt.f64 (.f64 9 (cbrt.f64 (pow.f64 x 12)))) (cbrt.f64 (.f64 (.f64 x x) 3)))
(.f64 (.f64 x x) 3)
(.f64 3 (.f64 x x))
(.f64 (pow.f64 1 1/3) (.f64 (*.f64 x x) 3))
(.f64 (pow.f64 (.f64 (pow.f64 x 3) (sqrt.f64 27)) 1/3) (pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 27)) 1/3))
(.f64 (pow.f64 (.f64 9 (cbrt.f64 (pow.f64 x 12))) 1/3) (cbrt.f64 (.f64 (.f64 x x) 3)))
(pow.f64 (*.f64 27 (pow.f64 x 6)) 1/3)
(pow.f64 (.f64 (.f64 x x) 3) 1)
(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) 3)) 3)
(sqrt.f64 (*.f64 9 (cbrt.f64 (pow.f64 x 12))))
(log.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) 3)))
(exp.f64 (log.f64 (.f64 (.f64 x x) 3)))
(exp.f64 (.f64 (log.f64 (.f64 27 (pow.f64 x 6))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) 3)) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) 3)))
(-.f64 (+.f64 1 (*.f64 27 (pow.f64 x 6))) 1)
(pow.f64 (*.f64 27 (pow.f64 x 6)) 1)
(pow.f64 (.f64 (.f64 x x) 3) 3)
(pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 27)) 2)
(pow.f64 (pow.f64 (*.f64 27 (pow.f64 x 6)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 12) 729))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 6)) 27))
(cbrt.f64 (pow.f64 (*.f64 27 (pow.f64 x 6)) 3))
(expm1.f64 (log1p.f64 (*.f64 27 (pow.f64 x 6))))
(exp.f64 (log.f64 (*.f64 27 (pow.f64 x 6))))
(exp.f64 (.f64 (log.f64 (.f64 27 (pow.f64 x 6))) 1))
(log1p.f64 (expm1.f64 (*.f64 27 (pow.f64 x 6))))

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 (.f64 x x) 3)) 1)
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(.f64 (.f64 (*.f64 x x) 3) 1)
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(.f64 1 (.f64 (*.f64 x x) 3))
(.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 (cbrt.f64 (.f64 (.f64 x x) 3)) (cbrt.f64 (.f64 9 (cbrt.f64 (pow.f64 x 12)))))
(.f64 (cbrt.f64 (.f64 (.f64 3 x) x)) (cbrt.f64 (.f64 9 (cbrt.f64 (pow.f64 x 12)))))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (.f64 9 (cbrt.f64 (pow.f64 x 12)))))
(.f64 (cbrt.f64 (.f64 9 (cbrt.f64 (pow.f64 x 12)))) (cbrt.f64 (.f64 (.f64 x x) 3)))
(.f64 (cbrt.f64 (.f64 (.f64 3 x) x)) (cbrt.f64 (.f64 9 (cbrt.f64 (pow.f64 x 12)))))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (.f64 9 (cbrt.f64 (pow.f64 x 12)))))
(.f64 (.f64 x x) 3)
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(.f64 3 (.f64 x x))
(.f64 (.f64 3 x) x)
(.f64 (pow.f64 1 1/3) (.f64 (*.f64 x x) 3))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(.f64 (pow.f64 (.f64 (pow.f64 x 3) (sqrt.f64 27)) 1/3) (pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 27)) 1/3))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 3) (sqrt.f64 27))) (cbrt.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 27))))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 27)) 1/6) 4)
(.f64 (pow.f64 (.f64 9 (cbrt.f64 (pow.f64 x 12))) 1/3) (cbrt.f64 (.f64 (.f64 x x) 3)))
(.f64 (cbrt.f64 (.f64 (.f64 3 x) x)) (cbrt.f64 (.f64 9 (cbrt.f64 (pow.f64 x 12)))))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (.f64 9 (cbrt.f64 (pow.f64 x 12)))))
(pow.f64 (*.f64 27 (pow.f64 x 6)) 1/3)
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(pow.f64 (.f64 (.f64 x x) 3) 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 (.f64 x x) 3)) 3)
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(sqrt.f64 (*.f64 9 (cbrt.f64 (pow.f64 x 12))))
(log.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) 3)))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(exp.f64 (log.f64 (.f64 (.f64 x x) 3)))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 27 (pow.f64 x 6))) 1/3))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) 3)) 1))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) 3)))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(-.f64 (+.f64 1 (*.f64 27 (pow.f64 x 6))) 1)
(+.f64 1 (-.f64 (*.f64 27 (pow.f64 x 6)) 1))
(+.f64 (*.f64 27 (pow.f64 x 6)) 0)
(*.f64 27 (pow.f64 x 6))
(pow.f64 (*.f64 27 (pow.f64 x 6)) 1)
(+.f64 1 (-.f64 (*.f64 27 (pow.f64 x 6)) 1))
(+.f64 (*.f64 27 (pow.f64 x 6)) 0)
(*.f64 27 (pow.f64 x 6))
(pow.f64 (.f64 (.f64 x x) 3) 3)
(+.f64 1 (-.f64 (*.f64 27 (pow.f64 x 6)) 1))
(+.f64 (*.f64 27 (pow.f64 x 6)) 0)
(*.f64 27 (pow.f64 x 6))
(pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 27)) 2)
(+.f64 1 (-.f64 (*.f64 27 (pow.f64 x 6)) 1))
(+.f64 (*.f64 27 (pow.f64 x 6)) 0)
(*.f64 27 (pow.f64 x 6))
(pow.f64 (pow.f64 (*.f64 27 (pow.f64 x 6)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 27 (pow.f64 x 6)) 1))
(+.f64 (*.f64 27 (pow.f64 x 6)) 0)
(*.f64 27 (pow.f64 x 6))
(sqrt.f64 (*.f64 (pow.f64 x 12) 729))
(+.f64 1 (-.f64 (*.f64 27 (pow.f64 x 6)) 1))
(+.f64 (*.f64 27 (pow.f64 x 6)) 0)
(*.f64 27 (pow.f64 x 6))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 6)) 27))
(+.f64 1 (-.f64 (*.f64 27 (pow.f64 x 6)) 1))
(+.f64 (*.f64 27 (pow.f64 x 6)) 0)
(*.f64 27 (pow.f64 x 6))
(cbrt.f64 (pow.f64 (*.f64 27 (pow.f64 x 6)) 3))
(+.f64 1 (-.f64 (*.f64 27 (pow.f64 x 6)) 1))
(+.f64 (*.f64 27 (pow.f64 x 6)) 0)
(*.f64 27 (pow.f64 x 6))
(expm1.f64 (log1p.f64 (*.f64 27 (pow.f64 x 6))))
(+.f64 1 (-.f64 (*.f64 27 (pow.f64 x 6)) 1))
(+.f64 (*.f64 27 (pow.f64 x 6)) 0)
(*.f64 27 (pow.f64 x 6))
(exp.f64 (log.f64 (*.f64 27 (pow.f64 x 6))))
(+.f64 1 (-.f64 (*.f64 27 (pow.f64 x 6)) 1))
(+.f64 (*.f64 27 (pow.f64 x 6)) 0)
(*.f64 27 (pow.f64 x 6))
(exp.f64 (.f64 (log.f64 (.f64 27 (pow.f64 x 6))) 1))
(+.f64 1 (-.f64 (*.f64 27 (pow.f64 x 6)) 1))
(+.f64 (*.f64 27 (pow.f64 x 6)) 0)
(*.f64 27 (pow.f64 x 6))
(log1p.f64 (expm1.f64 (*.f64 27 (pow.f64 x 6))))
(+.f64 1 (-.f64 (*.f64 27 (pow.f64 x 6)) 1))
(+.f64 (*.f64 27 (pow.f64 x 6)) 0)
(*.f64 27 (pow.f64 x 6))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.14%	(*.f64 9 (pow.f64 x 4))
✓	31.76%	(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)))

rewrite56.0ms (1.7%)

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))))))))

simplify61.0ms (1.8%)

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))

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.63%	(.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 x))
✓	0.68%	(pow.f64 (.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 x)) 3)
✓	0.98%	(cbrt.f64 x)
✓	1.02%	(cbrt.f64 (*.f64 x 3))

Compiler

Compiled 28 to 18 computations (35.7% saved)

series6.0ms (0.2%)

Counts

4 → 0

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(pow.f64 (.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 x)) 3)
1.0ms	x	@	0	(cbrt.f64 (*.f64 x 3))
0.0ms	x	@	-inf	(cbrt.f64 (*.f64 x 3))
0.0ms	x	@	-inf	(cbrt.f64 x)
0.0ms	x	@	inf	(pow.f64 (.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 x)) 3)

rewrite78.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1756×	`add-sqr-sqrt`
1726×	`*-un-lft-identity`
1626×	`add-cube-cbrt`
1606×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	56
1	205	46
2	2352	46

Stop Event

1×	node limit

Counts

4 → 91

Calls

Call 1

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

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

simplify81.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

960×	`*-commutative`
826×	`+-commutative`
682×	`distribute-lft-in`
664×	`distribute-rgt-in`
612×	`swap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	178	1657
1	361	1613
2	1691	1581
3	4844	1555

Stop Event

1×	node limit

Counts

91 → 106

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 3)))) 1)
(cbrt.f64 (*.f64 x 3))
(.f64 (cbrt.f64 (.f64 x 3)) 1)
(cbrt.f64 (*.f64 x 3))
(*.f64 (cbrt.f64 x) (cbrt.f64 3))
(.f64 1 (cbrt.f64 (.f64 x 3)))
(cbrt.f64 (*.f64 x 3))
(.f64 (pow.f64 x 1/6) (.f64 (pow.f64 x 1/6) (cbrt.f64 3)))
(*.f64 (cbrt.f64 x) (cbrt.f64 3))
(.f64 (pow.f64 (.f64 x 3) 1/6) (pow.f64 (*.f64 x 3) 1/6))
(cbrt.f64 (*.f64 x 3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 3)))
(*.f64 (cbrt.f64 x) (cbrt.f64 3))
(*.f64 (cbrt.f64 3) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 3))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x 3))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 3))) 2))
(cbrt.f64 (*.f64 x 3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 3))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x 3))))
(cbrt.f64 (*.f64 x 3))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x 3)))
(cbrt.f64 (*.f64 x 3))
(.f64 (pow.f64 (sqrt.f64 (.f64 x 3)) 1/3) (pow.f64 (sqrt.f64 (*.f64 x 3)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 x 3))) (cbrt.f64 (sqrt.f64 (*.f64 x 3))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 3))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x 3))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)))
(pow.f64 (*.f64 x 3) 1/3)
(cbrt.f64 (*.f64 x 3))
(pow.f64 (cbrt.f64 (*.f64 x 3)) 1)
(cbrt.f64 (*.f64 x 3))
(pow.f64 (pow.f64 (*.f64 x 3) 1/6) 2)
(cbrt.f64 (*.f64 x 3))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 3))) 3)
(cbrt.f64 (*.f64 x 3))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2))
(cbrt.f64 (*.f64 x 3))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x 3))))
(cbrt.f64 (*.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x 3)))))
(cbrt.f64 (*.f64 x 3))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 3))))
(cbrt.f64 (*.f64 x 3))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x 3))))
(cbrt.f64 (*.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 x 3)) 1/3))
(cbrt.f64 (*.f64 x 3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 3))) 1))
(cbrt.f64 (*.f64 x 3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 3))))
(cbrt.f64 (*.f64 x 3))
(-.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 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(cbrt.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(*.f64 (pow.f64 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)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 x 1/3)
(cbrt.f64 x)
(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 (pow.f64 (cbrt.f64 x) 2))
(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 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 (cbrt.f64 (.f64 x 3)) (.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (.f64 x (*.f64 x 3)) 2))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (.f64 (cbrt.f64 (*.f64 x 3)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (cbrt.f64 (.f64 x (*.f64 x 3))))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 12))) (cbrt.f64 (.f64 x (.f64 x 3))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 (pow.f64 (.f64 x (*.f64 x 3)) 2))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (.f64 (cbrt.f64 (*.f64 x 3)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (cbrt.f64 (.f64 x (*.f64 x 3))))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 12))) (cbrt.f64 (.f64 x (.f64 x 3))))
(.f64 (cbrt.f64 (.f64 x (.f64 x 3))) (cbrt.f64 (pow.f64 (.f64 x (*.f64 x 3)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (.f64 (cbrt.f64 (*.f64 x 3)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (cbrt.f64 (.f64 x (*.f64 x 3))))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 12))) (cbrt.f64 (.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 (cbrt.f64 (sqrt.f64 (.f64 x (.f64 x 3)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (.f64 x 3)))) (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 x (*.f64 x 3)))) 2))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 12))) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 x (.f64 x 3)))) 2))
(.f64 (sqrt.f64 (.f64 x 3)) (.f64 (sqrt.f64 (.f64 x 3)) x))
(.f64 x (.f64 x 3))
(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
(.f64 x (.f64 x 3))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2))) (.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (*.f64 x 3)) 2))) 4))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 12)))) 4))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) (.f64 (cbrt.f64 (.f64 x 3)) x))
(.f64 x (.f64 x 3))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (cbrt.f64 (.f64 x (*.f64 x 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (.f64 (cbrt.f64 (*.f64 x 3)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 12))) (cbrt.f64 (.f64 x (.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))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (cbrt.f64 (*.f64 x 3))) (cbrt.f64 x))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (.f64 (cbrt.f64 (*.f64 x 3)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (cbrt.f64 (.f64 x (*.f64 x 3))))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 12))) (cbrt.f64 (.f64 x (.f64 x 3))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (cbrt.f64 x)) (cbrt.f64 (*.f64 x 3)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (.f64 (cbrt.f64 (*.f64 x 3)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (cbrt.f64 (.f64 x (*.f64 x 3))))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 12))) (cbrt.f64 (.f64 x (.f64 x 3))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) 1) (cbrt.f64 (.f64 x (.f64 x 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (.f64 (cbrt.f64 (*.f64 x 3)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (cbrt.f64 (.f64 x (*.f64 x 3))))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 12))) (cbrt.f64 (.f64 x (.f64 x 3))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (cbrt.f64 (sqrt.f64 (.f64 x (.f64 x 3))))) (cbrt.f64 (sqrt.f64 (.f64 x (.f64 x 3)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 x (*.f64 x 3)))) 2))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 12))) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 x (.f64 x 3)))) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2))) (.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (*.f64 x 3)) 2))) 4))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 12)))) 4))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 x (.f64 x 3)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 x (*.f64 x 3)))) 3))
(.f64 x (.f64 x 3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2))) 3) (cbrt.f64 (.f64 x (*.f64 x 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (.f64 (cbrt.f64 (*.f64 x 3)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (cbrt.f64 (.f64 x (*.f64 x 3))))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 12))) (cbrt.f64 (.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))
(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))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 3))))) 1)
(cbrt.f64 (.f64 x (.f64 x 3)))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 1)
(cbrt.f64 (.f64 x (.f64 x 3)))
(pow.f64 (.f64 x (.f64 x 3)) 1/3)
(cbrt.f64 (.f64 x (.f64 x 3)))
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 x (.f64 x 3)))) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) 3)
(cbrt.f64 (.f64 x (.f64 x 3)))
(sqrt.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)))
(sqrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 (cbrt.f64 x) 12))))
(log.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))
(cbrt.f64 (.f64 x (.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 x (.f64 x 3))))))
(cbrt.f64 (.f64 x (.f64 x 3)))
(cbrt.f64 (.f64 x (.f64 x 3)))
(expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))
(cbrt.f64 (.f64 x (.f64 x 3)))
(exp.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))
(cbrt.f64 (.f64 x (.f64 x 3)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 x 3)))) 1))
(cbrt.f64 (.f64 x (.f64 x 3)))
(log1p.f64 (expm1.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))
(cbrt.f64 (.f64 x (.f64 x 3)))

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.34%	(.f64 (.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
✓	0.47%	(.f64 (.f64 x 3) (pow.f64 (cbrt.f64 x) 2))
✓	0.82%	(pow.f64 (cbrt.f64 x) 2)
	0.98%	(cbrt.f64 x)

Compiler

Compiled 32 to 19 computations (40.6% saved)

series7.0ms (0.2%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(.f64 (.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
2.0ms	x	@	0	(.f64 (.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 x) 2)
0.0ms	x	@	-inf	(pow.f64 (cbrt.f64 x) 2)
0.0ms	x	@	-inf	(.f64 (.f64 x 3) (pow.f64 (cbrt.f64 x) 2))

rewrite85.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1884×	`add-sqr-sqrt`
1860×	`*-un-lft-identity`
1732×	`add-cube-cbrt`
1706×	`add-cbrt-cube`
202×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	223	47
2	2527	47

Stop Event

1×	node limit

Counts

3 → 44

Calls

Call 1

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

Outputs

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

simplify68.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1294×	`associate-*r/`
934×	`distribute-lft-in`
920×	`distribute-rgt-in`
640×	`*-commutative`
566×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	107	902
1	234	896
2	763	896
3	2203	896
4	6847	896

Stop Event

1×	node limit

Counts

56 → 56

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

eval80.0ms (2.4%)

Compiler: Compiled 3909 to 2685 computations (31.3% saved)

prune43.0ms (1.3%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	339	2	341
Fresh	1	1	2
Picked	1	0	1
Done	1	6	7
Total	342	9	351

Error

Counts

351 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.76%	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
✓	1.92%	(pow.f64 (.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 x)) 3)
▶	0.61%	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x x))) 2)
▶	21.54%	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 3) x) 3)) 2)
✓	0.27%	(.f64 (.f64 x 3) x)
▶	49.95%	(.f64 (sqrt.f64 x) (.f64 (.f64 x (sqrt.f64 (.f64 3 x))) (sqrt.f64 3)))
✓	0.31%	(.f64 3 (.f64 x x))
✓	32.96%	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
✓	43.92%	(cbrt.f64 (*.f64 27 (pow.f64 x 6)))

Compiler

Compiled 75 to 60 computations (20% saved)

localize54.0ms (1.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.09%	(sqrt.f64 (*.f64 3 x))
✓	0.17%	(.f64 (sqrt.f64 x) (.f64 (.f64 x (sqrt.f64 (.f64 3 x))) (sqrt.f64 3)))
✓	0.2%	(.f64 x (sqrt.f64 (.f64 3 x)))
✓	0.23%	(.f64 (.f64 x (sqrt.f64 (*.f64 3 x))) (sqrt.f64 3))

Compiler

Compiled 41 to 29 computations (29.3% saved)

series6.0ms (0.2%)

Counts

4 → 12

Calls

12 calls:

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

rewrite75.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1082×	`sqrt-prod`
1062×	`unswap-sqr`
814×	`swap-sqr`
436×	`sqr-pow`
412×	`pow-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	92
1	238	64
2	2824	58

Stop Event

1×	node limit

Counts

4 → 105

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3)))) (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3)))) (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 x) (.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 3 (.f64 3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (sqrt.f64 x) (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (sqrt.f64 x) (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 x) (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))) 3) (.f64 3 (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 3 (sqrt.f64 3)) (pow.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sqrt.f64 x) (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sqrt.f64 x) (*.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))))) (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3)))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))))) (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (.f64 3 (pow.f64 x 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x 3) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 x 3) 3/2) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 3 (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 -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) (exp.f64 (log1p.f64 (.f64 x (.f64 x 3))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) (exp.f64 (log1p.f64 (.f64 x (.f64 x 3))))) (+.f64 1 (.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 fabs.f64 (.f64 x (.f64 x 3)))))) (#(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 cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 x 3)) 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3/2) (pow.f64 (.f64 (sqrt.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))))))))
((#(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 (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 3) (sqrt.f64 x))))) (#(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) (sqrt.f64 (.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 3 1/4) (sqrt.f64 (sqrt.f64 (.f64 x (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 3 1/4) (.f64 (pow.f64 3 1/4) (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 3) (.f64 (sqrt.f64 (cbrt.f64 3)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 3) (fabs.f64 (.f64 (sqrt.f64 (cbrt.f64 3)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (sqrt.f64 (.f64 (cbrt.f64 x) 3)))))) (#(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 (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 x 3))) (sqrt.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 (sqrt.f64 (pow.f64 (.f64 x 3) 1/4)) (sqrt.f64 (sqrt.f64 (pow.f64 (.f64 x 3) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 3) (pow.f64 x 1/4)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 3) (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (.f64 3 (.f64 x 3)))) (pow.f64 x 1/4))))) (#(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 (cbrt.f64 (.f64 9 (.f64 x x))) 1/2) (pow.f64 (cbrt.f64 (.f64 x 3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x 3) 1/4)) (cbrt.f64 (sqrt.f64 (.f64 x 3)))) (.f64 (cbrt.f64 (pow.f64 (.f64 x 3) 1/4)) (cbrt.f64 (sqrt.f64 (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 x 3))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 x 3))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 x 3) 3/2) 1/6) (pow.f64 (pow.f64 (.f64 x 3) 3/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (pow.f64 1 1/2)) (sqrt.f64 (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (.f64 (sqrt.f64 3) (pow.f64 x 1/4))) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (.f64 (sqrt.f64 3) (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (pow.f64 (cbrt.f64 (.f64 9 (.f64 x x))) 1/2)) (fabs.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (pow.f64 (.f64 x 3) 3/2))) (sqrt.f64 (pow.f64 (.f64 x 3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 3 (sqrt.f64 x))) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 3 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 x 3)) (cbrt.f64 (.f64 x 3)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 x 3)))) (exp.f64 (log1p.f64 (sqrt.f64 (.f64 x 3))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 x 3)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 x 3)))) (exp.f64 (log1p.f64 (sqrt.f64 (.f64 x 3))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 x 3)))) 1))))))) (#(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 fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.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 cbrt.f64 (.f64 (.f64 3 (sqrt.f64 3)) (pow.f64 x 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 log1p.f64 (expm1.f64 (sqrt.f64 (.f64 x 3))))))))

simplify120.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1830×	`associate-+r+`
1310×	`unswap-sqr`
634×	`distribute-rgt-in`
632×	`distribute-lft-in`
474×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	270	2989
1	625	2675
2	2082	2623
3	7343	2623

Stop Event

1×	node limit

Counts

117 → 162

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 -1 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) (pow.f64 x 2)))))
(.f64 -1 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) (pow.f64 x 2)))))
(.f64 -1 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) (pow.f64 x 2)))))
(.f64 -1 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) (pow.f64 x 2)))))
(+.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3)))) -1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3)))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3)))) (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (*.f64 x 3)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3)))) (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3)))) 1))))
(pow.f64 (.f64 (sqrt.f64 x) (.f64 x 3)) 1)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (.f64 x 3))) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 x 3))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 x 3)) 3) 1/3)
(sqrt.f64 (.f64 3 (.f64 3 (pow.f64 x 3))))
(fabs.f64 (.f64 (sqrt.f64 x) (.f64 x 3)))
(log.f64 (exp.f64 (.f64 (sqrt.f64 x) (.f64 x 3))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 x) (.f64 x 3)))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 x 3)) 3))
(cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))) 3) (*.f64 3 (sqrt.f64 3))))
(cbrt.f64 (.f64 (.f64 3 (sqrt.f64 3)) (pow.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3))) 3)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 x) (.f64 x 3))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 x) (.f64 x 3))))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3))))) -1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3))))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))))) (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3)))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))))) (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))))) 1))))
(pow.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3)))) 2)
(pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 3 (pow.f64 x 3)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3))) 3) 1/3)
(sqrt.f64 (*.f64 3 (pow.f64 x 3)))
(fabs.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3))))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (*.f64 x 3))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3))) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x 3) 3/2)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x 3) 3/2) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3)))))
(+.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) -1)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) (exp.f64 (log1p.f64 (.f64 x (.f64 x 3))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 x (*.f64 x 3)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) (exp.f64 (log1p.f64 (.f64 x (.f64 x 3))))) (+.f64 1 (.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))
(fabs.f64 (.f64 x (.f64 x 3)))
(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))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 x) (*.f64 x 3)) 3) (pow.f64 x 3/2)))
(cbrt.f64 (.f64 (pow.f64 x 3/2) (pow.f64 (.f64 (sqrt.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))))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x 3)))) -1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x 3)))) 1)
(.f64 (sqrt.f64 (.f64 x 3)) 1)
(*.f64 (sqrt.f64 3) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 3))
(.f64 1 (sqrt.f64 (.f64 x 3)))
(.f64 (pow.f64 x 1/4) (sqrt.f64 (.f64 (sqrt.f64 x) 3)))
(.f64 (pow.f64 3 1/4) (sqrt.f64 (sqrt.f64 (.f64 x (*.f64 x 3)))))
(.f64 (pow.f64 3 1/4) (.f64 (pow.f64 3 1/4) (sqrt.f64 x)))
(.f64 (pow.f64 (.f64 x 3) 1/4) (pow.f64 (*.f64 x 3) 1/4))
(.f64 (cbrt.f64 3) (.f64 (sqrt.f64 (cbrt.f64 3)) (sqrt.f64 x)))
(.f64 (cbrt.f64 3) (fabs.f64 (.f64 (sqrt.f64 (cbrt.f64 3)) (sqrt.f64 x))))
(.f64 (cbrt.f64 x) (sqrt.f64 (.f64 (cbrt.f64 x) 3)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 x 3))) (cbrt.f64 (*.f64 x 3)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 x 3))) (sqrt.f64 (*.f64 x 3)))))
(.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 (sqrt.f64 (*.f64 x 3))))
(.f64 (sqrt.f64 (pow.f64 (.f64 x 3) 1/4)) (sqrt.f64 (sqrt.f64 (pow.f64 (*.f64 x 3) 3/2))))
(.f64 (.f64 (sqrt.f64 3) (pow.f64 x 1/4)) (pow.f64 x 1/4))
(.f64 (.f64 (sqrt.f64 3) (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 3 (*.f64 x 3)))) (pow.f64 x 1/4))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 x 3)))
(.f64 (pow.f64 (cbrt.f64 (.f64 9 (.f64 x x))) 1/2) (pow.f64 (cbrt.f64 (.f64 x 3)) 1/2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x 3) 1/4)) (cbrt.f64 (sqrt.f64 (.f64 x 3)))) (.f64 (cbrt.f64 (pow.f64 (.f64 x 3) 1/4)) (cbrt.f64 (sqrt.f64 (*.f64 x 3)))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 x 3))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 3))) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 x 3) 3/2) 1/6) (pow.f64 (pow.f64 (*.f64 x 3) 3/2) 1/6))
(.f64 (fabs.f64 (pow.f64 1 1/2)) (sqrt.f64 (.f64 x 3)))
(.f64 (fabs.f64 (.f64 (sqrt.f64 3) (pow.f64 x 1/4))) (pow.f64 x 1/4))
(.f64 (fabs.f64 (.f64 (sqrt.f64 3) (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(.f64 (fabs.f64 (pow.f64 (cbrt.f64 (.f64 9 (.f64 x x))) 1/2)) (fabs.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 1/2)))
(.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (.f64 x 3) 3/2))) (sqrt.f64 (pow.f64 (*.f64 x 3) 1/4)))
(.f64 (sqrt.f64 (.f64 3 (sqrt.f64 x))) (pow.f64 x 1/4))
(.f64 (sqrt.f64 (.f64 3 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 x 3)) (cbrt.f64 (.f64 x 3)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 3)))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 x 3)))) (exp.f64 (log1p.f64 (sqrt.f64 (.f64 x 3))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 x 3)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 x 3)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 x 3)))) (exp.f64 (log1p.f64 (sqrt.f64 (.f64 x 3))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 x 3)))) 1))))
(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)))
(fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x 3))))))
(fabs.f64 (neg.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))
(cbrt.f64 (.f64 (.f64 3 (sqrt.f64 3)) (pow.f64 x 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))
(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 (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 -1 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) (pow.f64 x 2)))))
(neg.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 3) (.f64 (.f64 x x) (sqrt.f64 -3)))))
(.f64 (sqrt.f64 -1) (neg.f64 (.f64 (sqrt.f64 -3) (.f64 (.f64 x x) (sqrt.f64 3)))))
(.f64 (sqrt.f64 3) (neg.f64 (.f64 (.f64 x (.f64 x (sqrt.f64 -3))) (sqrt.f64 -1))))
(.f64 -1 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) (pow.f64 x 2)))))
(neg.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 3) (.f64 (.f64 x x) (sqrt.f64 -3)))))
(.f64 (sqrt.f64 -1) (neg.f64 (.f64 (sqrt.f64 -3) (.f64 (.f64 x x) (sqrt.f64 3)))))
(.f64 (sqrt.f64 3) (neg.f64 (.f64 (.f64 x (.f64 x (sqrt.f64 -3))) (sqrt.f64 -1))))
(.f64 -1 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) (pow.f64 x 2)))))
(neg.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 3) (.f64 (.f64 x x) (sqrt.f64 -3)))))
(.f64 (sqrt.f64 -1) (neg.f64 (.f64 (sqrt.f64 -3) (.f64 (.f64 x x) (sqrt.f64 3)))))
(.f64 (sqrt.f64 3) (neg.f64 (.f64 (.f64 x (.f64 x (sqrt.f64 -3))) (sqrt.f64 -1))))
(.f64 -1 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 -3) (pow.f64 x 2)))))
(neg.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 3) (.f64 (.f64 x x) (sqrt.f64 -3)))))
(.f64 (sqrt.f64 -1) (neg.f64 (.f64 (sqrt.f64 -3) (.f64 (.f64 x x) (sqrt.f64 3)))))
(.f64 (sqrt.f64 3) (neg.f64 (.f64 (.f64 x (.f64 x (sqrt.f64 -3))) (sqrt.f64 -1))))
(+.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3)))) -1)
(.f64 (sqrt.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (sqrt.f64 x)))
(.f64 x (.f64 3 (sqrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3)))) 1)
(.f64 (sqrt.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (sqrt.f64 x)))
(.f64 x (.f64 3 (sqrt.f64 x)))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3)))) (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (*.f64 x 3)))) 1))
(.f64 (sqrt.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (sqrt.f64 x)))
(.f64 x (.f64 3 (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3)))) (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 3 x)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 3 x))) (log1p.f64 (.f64 (sqrt.f64 x) (.f64 3 x))))) (+.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 3 x)))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 x (sqrt.f64 x))))) 3)) (+.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 x (sqrt.f64 x))))) (+.f64 1 (exp.f64 (.f64 2 (log1p.f64 (.f64 3 (*.f64 x (sqrt.f64 x)))))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (.f64 x (.f64 3 (sqrt.f64 x)))))) (+.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 3 (sqrt.f64 x))))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (.f64 x (*.f64 3 (sqrt.f64 x))))))))
(pow.f64 (.f64 (sqrt.f64 x) (.f64 x 3)) 1)
(.f64 (sqrt.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (sqrt.f64 x)))
(.f64 x (.f64 3 (sqrt.f64 x)))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (.f64 x 3))) 2)
(.f64 (sqrt.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (sqrt.f64 x)))
(.f64 x (.f64 3 (sqrt.f64 x)))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 x 3))) 3)
(.f64 (sqrt.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (sqrt.f64 x)))
(.f64 x (.f64 3 (sqrt.f64 x)))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 x 3)) 3) 1/3)
(.f64 (sqrt.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (sqrt.f64 x)))
(.f64 x (.f64 3 (sqrt.f64 x)))
(sqrt.f64 (.f64 3 (.f64 3 (pow.f64 x 3))))
(sqrt.f64 (*.f64 9 (pow.f64 x 3)))
(sqrt.f64 (*.f64 (pow.f64 x 3) 9))
(fabs.f64 (.f64 (sqrt.f64 x) (.f64 x 3)))
(.f64 (sqrt.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (sqrt.f64 x)))
(.f64 x (.f64 3 (sqrt.f64 x)))
(log.f64 (exp.f64 (.f64 (sqrt.f64 x) (.f64 x 3))))
(.f64 (sqrt.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (sqrt.f64 x)))
(.f64 x (.f64 3 (sqrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 x) (.f64 x 3)))))
(.f64 (sqrt.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (sqrt.f64 x)))
(.f64 x (.f64 3 (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 x 3)) 3))
(.f64 (sqrt.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (sqrt.f64 x)))
(.f64 x (.f64 3 (sqrt.f64 x)))
(cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))) 3) (*.f64 3 (sqrt.f64 3))))
(cbrt.f64 (.f64 3 (.f64 (sqrt.f64 3) (pow.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3))) 3))))
(cbrt.f64 (.f64 (.f64 3 (sqrt.f64 3)) (pow.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3))) 3)))
(cbrt.f64 (.f64 3 (.f64 (sqrt.f64 3) (pow.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3))) 3))))
(cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))) 3) (*.f64 3 (sqrt.f64 3))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 x 3))))
(.f64 (sqrt.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (sqrt.f64 x)))
(.f64 x (.f64 3 (sqrt.f64 x)))
(exp.f64 (log.f64 (.f64 (sqrt.f64 x) (.f64 x 3))))
(.f64 (sqrt.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (sqrt.f64 x)))
(.f64 x (.f64 3 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 x) (.f64 x 3))))
(.f64 (sqrt.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (sqrt.f64 x)))
(.f64 x (.f64 3 (sqrt.f64 x)))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3))))) -1)
(sqrt.f64 (*.f64 3 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3))))) 1)
(sqrt.f64 (*.f64 3 (pow.f64 x 3)))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))))) (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3)))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))))) 1))
(sqrt.f64 (*.f64 3 (pow.f64 x 3)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))))) (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3)))) (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3)))))) (+.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))))) 3)) (+.f64 (exp.f64 (.f64 2 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3)))))) (+.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3)))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))))) (pow.f64 (exp.f64 2) (log1p.f64 (sqrt.f64 (.f64 3 (pow.f64 x 3))))))))
(pow.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3))) 1)
(sqrt.f64 (*.f64 3 (pow.f64 x 3)))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3)))) 2)
(sqrt.f64 (*.f64 3 (pow.f64 x 3)))
(pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 3 (pow.f64 x 3)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3))) 3) 1/3)
(sqrt.f64 (*.f64 3 (pow.f64 x 3)))
(sqrt.f64 (*.f64 3 (pow.f64 x 3)))
(fabs.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3))))
(sqrt.f64 (*.f64 3 (pow.f64 x 3)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (*.f64 x 3))))
(.f64 (sqrt.f64 (.f64 3 x)) (log.f64 (exp.f64 x)))
(.f64 x (sqrt.f64 (.f64 3 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3))))))
(sqrt.f64 (*.f64 3 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3))) 3))
(sqrt.f64 (*.f64 3 (pow.f64 x 3)))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x 3) 3/2)))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 3 x) 3/2)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x 3) 3/2) (pow.f64 x 3)))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 3 x) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3)))))
(sqrt.f64 (*.f64 3 (pow.f64 x 3)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3)))))
(sqrt.f64 (*.f64 3 (pow.f64 x 3)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3)))))
(sqrt.f64 (*.f64 3 (pow.f64 x 3)))
(+.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 (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 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) (exp.f64 (log1p.f64 (.f64 x (.f64 x 3))))) 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 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) (exp.f64 (log1p.f64 (.f64 x (.f64 x 3))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 3 x)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (.f64 x (.f64 3 x))) (log1p.f64 (.f64 x (.f64 3 x))))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 x (.f64 3 x)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 x x)))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 x x)))) (exp.f64 (.f64 2 (log1p.f64 (.f64 3 (*.f64 x x))))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (.f64 3 (.f64 x x))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 x x)))) (pow.f64 (exp.f64 2) (log1p.f64 (.f64 3 (*.f64 x x)))))))
(pow.f64 (.f64 x (.f64 x 3)) 1)
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 3 (.f64 x x))
(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 3 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 3 (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) 1/3)
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 3 (.f64 x x))
(sqrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 3 (.f64 x x))
(fabs.f64 (.f64 x (.f64 x 3)))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 3 (.f64 x x))
(log.f64 (exp.f64 (.f64 x (.f64 x 3))))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 3 (.f64 x x))
(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))
(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))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 x) (*.f64 x 3)) 3) (pow.f64 x 3/2)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 x) (*.f64 3 x)) 3) (pow.f64 x 3/2)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (*.f64 x (sqrt.f64 x)) 3) 27) (pow.f64 x 3/2)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (*.f64 3 (sqrt.f64 x))) 3) (pow.f64 x 3/2)))
(cbrt.f64 (.f64 (pow.f64 x 3/2) (pow.f64 (.f64 (sqrt.f64 x) (*.f64 x 3)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 x) (*.f64 3 x)) 3) (pow.f64 x 3/2)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (*.f64 x (sqrt.f64 x)) 3) 27) (pow.f64 x 3/2)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (*.f64 3 (sqrt.f64 x))) 3) (pow.f64 x 3/2)))
(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))
(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 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x 3)))) -1)
(sqrt.f64 (*.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 3) (sqrt.f64 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) (sqrt.f64 (.f64 (sqrt.f64 x) 3)))
(.f64 (pow.f64 x 1/4) (sqrt.f64 (.f64 3 (sqrt.f64 x))))
(.f64 (pow.f64 3 1/4) (sqrt.f64 (sqrt.f64 (.f64 x (*.f64 x 3)))))
(.f64 (pow.f64 3 1/4) (sqrt.f64 (sqrt.f64 (.f64 x (*.f64 3 x)))))
(.f64 (pow.f64 3 1/4) (sqrt.f64 (sqrt.f64 (.f64 3 (*.f64 x x)))))
(.f64 (pow.f64 3 1/4) (sqrt.f64 (fabs.f64 (.f64 (sqrt.f64 3) x))))
(.f64 (pow.f64 3 1/4) (.f64 (pow.f64 3 1/4) (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 3) (.f64 (sqrt.f64 (cbrt.f64 3)) (sqrt.f64 x)))
(.f64 (cbrt.f64 3) (.f64 (sqrt.f64 x) (sqrt.f64 (cbrt.f64 3))))
(.f64 (sqrt.f64 (cbrt.f64 3)) (.f64 (sqrt.f64 x) (cbrt.f64 3)))
(.f64 (cbrt.f64 3) (fabs.f64 (.f64 (sqrt.f64 (cbrt.f64 3)) (sqrt.f64 x))))
(.f64 (cbrt.f64 3) (fabs.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (cbrt.f64 3)))))
(.f64 (fabs.f64 (sqrt.f64 (cbrt.f64 3))) (.f64 (sqrt.f64 x) (cbrt.f64 3)))
(.f64 (cbrt.f64 x) (sqrt.f64 (.f64 (cbrt.f64 x) 3)))
(.f64 (cbrt.f64 x) (sqrt.f64 (.f64 3 (cbrt.f64 x))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 x 3))) (cbrt.f64 (*.f64 x 3)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 3 x))) (cbrt.f64 (*.f64 3 x)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 x 3))) (sqrt.f64 (*.f64 x 3)))))
(sqrt.f64 (*.f64 3 x))
(.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 (sqrt.f64 (*.f64 x 3))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 3 x))) (cbrt.f64 (*.f64 3 x)))
(.f64 (sqrt.f64 (pow.f64 (.f64 x 3) 1/4)) (sqrt.f64 (sqrt.f64 (pow.f64 (*.f64 x 3) 3/2))))
(.f64 (sqrt.f64 (pow.f64 (.f64 3 x) 1/4)) (sqrt.f64 (sqrt.f64 (pow.f64 (*.f64 3 x) 3/2))))
(.f64 (sqrt.f64 (pow.f64 (.f64 3 x) 3/4)) (pow.f64 (*.f64 3 x) 1/8))
(.f64 (.f64 (sqrt.f64 3) (pow.f64 x 1/4)) (pow.f64 x 1/4))
(*.f64 (sqrt.f64 3) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 3) (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))
(.f64 (sqrt.f64 3) (.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 3 (*.f64 x 3)))) (pow.f64 x 1/4))
(.f64 (pow.f64 x 1/4) (sqrt.f64 (sqrt.f64 (.f64 3 (*.f64 3 x)))))
(.f64 (pow.f64 x 1/4) (sqrt.f64 (sqrt.f64 (.f64 x 9))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 x 3)))
(sqrt.f64 (*.f64 3 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 9 (.f64 x x))) 1/2) (pow.f64 (cbrt.f64 (.f64 x 3)) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 x x) 9))) (sqrt.f64 (cbrt.f64 (.f64 3 x))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (.f64 x 9)))) (sqrt.f64 (cbrt.f64 (.f64 3 x))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x 3) 1/4)) (cbrt.f64 (sqrt.f64 (.f64 x 3)))) (.f64 (cbrt.f64 (pow.f64 (.f64 x 3) 1/4)) (cbrt.f64 (sqrt.f64 (*.f64 x 3)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 3 x))) (cbrt.f64 (pow.f64 (.f64 3 x) 1/4))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 3 x))) (cbrt.f64 (pow.f64 (*.f64 3 x) 1/4))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 3 x))) (.f64 (cbrt.f64 (pow.f64 (.f64 3 x) 1/4)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 3 x))) (cbrt.f64 (pow.f64 (*.f64 3 x) 1/4)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 x) 1/4)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 3 x))) 4)) (cbrt.f64 (pow.f64 (*.f64 3 x) 1/4))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 x 3))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 3))) 3/2))
(sqrt.f64 (*.f64 3 x))
(.f64 (pow.f64 (pow.f64 (.f64 x 3) 3/2) 1/6) (pow.f64 (pow.f64 (*.f64 x 3) 3/2) 1/6))
(cbrt.f64 (pow.f64 (*.f64 3 x) 3/2))
(.f64 (fabs.f64 (pow.f64 1 1/2)) (sqrt.f64 (.f64 x 3)))
(sqrt.f64 (*.f64 3 x))
(.f64 (fabs.f64 (.f64 (sqrt.f64 3) (pow.f64 x 1/4))) (pow.f64 x 1/4))
(*.f64 (sqrt.f64 3) (sqrt.f64 x))
(.f64 (fabs.f64 (.f64 (sqrt.f64 3) (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(.f64 (sqrt.f64 3) (.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x))))
(.f64 (fabs.f64 (pow.f64 (cbrt.f64 (.f64 9 (.f64 x x))) 1/2)) (fabs.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 1/2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 x x) 9))) (sqrt.f64 (cbrt.f64 (.f64 3 x))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (.f64 x 9)))) (sqrt.f64 (cbrt.f64 (.f64 3 x))))
(.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (.f64 x 3) 3/2))) (sqrt.f64 (pow.f64 (*.f64 x 3) 1/4)))
(.f64 (sqrt.f64 (pow.f64 (.f64 3 x) 1/4)) (sqrt.f64 (sqrt.f64 (pow.f64 (*.f64 3 x) 3/2))))
(.f64 (sqrt.f64 (pow.f64 (.f64 3 x) 3/4)) (pow.f64 (*.f64 3 x) 1/8))
(.f64 (sqrt.f64 (.f64 3 (sqrt.f64 x))) (pow.f64 x 1/4))
(.f64 (pow.f64 x 1/4) (sqrt.f64 (.f64 3 (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 3 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (.f64 3 (pow.f64 (cbrt.f64 x) 2))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 x 3)) (cbrt.f64 (.f64 x 3)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 3)))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 3 x)) (cbrt.f64 (.f64 3 x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 3 x)))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 x 3)))) (exp.f64 (log1p.f64 (sqrt.f64 (.f64 x 3))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 x 3)))) 1))
(sqrt.f64 (*.f64 3 x))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 x 3)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 x 3)))) (exp.f64 (log1p.f64 (sqrt.f64 (.f64 x 3))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 x 3)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 x)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (sqrt.f64 (.f64 3 x))) (log1p.f64 (sqrt.f64 (.f64 3 x))))) (+.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 x)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 x)))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 x)))) (exp.f64 (.f64 2 (log1p.f64 (sqrt.f64 (.f64 3 x))))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (sqrt.f64 (.f64 3 x))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 3 x)))) (pow.f64 (exp.f64 2) (log1p.f64 (sqrt.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))
(fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x 3))))))
(sqrt.f64 (*.f64 3 x))
(fabs.f64 (neg.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))
(cbrt.f64 (.f64 (.f64 3 (sqrt.f64 3)) (pow.f64 x 3/2)))
(cbrt.f64 (.f64 (sqrt.f64 3) (.f64 3 (pow.f64 x 3/2))))
(cbrt.f64 (.f64 3 (.f64 (sqrt.f64 3) (pow.f64 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))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x 3))))
(sqrt.f64 (*.f64 3 x))

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.48%	(pow.f64 (*.f64 (sqrt.f64 3) x) 3)
✓	0.51%	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 3) x) 3)) 2)
	0.6%	(*.f64 (sqrt.f64 3) x)
✓	51.39%	(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 3) x) 3))

Compiler

Compiled 32 to 27 computations (15.6% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 3) x) 3))
0.0ms	x	@	0	(pow.f64 (*.f64 (sqrt.f64 3) x) 3)
0.0ms	x	@	-inf	(pow.f64 (*.f64 (sqrt.f64 3) x) 3)
0.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 3) x) 3)) 2)
0.0ms	x	@	inf	(pow.f64 (*.f64 (sqrt.f64 3) x) 3)

rewrite95.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1658×	`add-sqr-sqrt`
1624×	`*-un-lft-identity`
1528×	`add-cube-cbrt`
1514×	`add-cbrt-cube`
188×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	230	41
2	2352	41

Stop Event

1×	node limit

Counts

3 → 86

Calls

Call 1

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

Outputs

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

((#(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 *.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 (pow.f64 (*.f64 (sqrt.f64 3) x) 3/2) (sqrt.f64 (*.f64 (sqrt.f64 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 3) x)) (pow.f64 (*.f64 (sqrt.f64 3) x) 3/2))))) (#(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 (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 (*.f64 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 (sqrt.f64 3) 2))))) (#(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 *.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x 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 (exp.f64 (*.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 (sqrt.f64 3) x) 6))))) (#(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))))))))

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

simplify80.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1018×	`unswap-sqr`
938×	`*-commutative`
770×	`distribute-lft-in`
748×	`distribute-lft-neg-in`
738×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	2570
1	406	2220
2	1893	2192
3	6257	2192

Stop Event

1×	node limit

Counts

122 → 110

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

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.31%	(.f64 3 (.f64 x x))
✓	0.51%	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x x))) 2)
✓	30.04%	(sqrt.f64 (.f64 3 (.f64 x x)))

Compiler

Compiled 26 to 14 computations (46.2% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite66.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1504×	`add-sqr-sqrt`
1482×	`*-un-lft-identity`
1380×	`add-cube-cbrt`
1370×	`add-cbrt-cube`
1358×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	204	24
2	2045	24

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

simplify80.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1322×	`associate-+r+`
1224×	`associate-+l+`
1134×	`fma-def`
794×	`*-commutative`
610×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	119	1521
1	285	1151
2	1344	1151
3	3327	1151
4	7993	1151

Stop Event

1×	node limit

Counts

79 → 63

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

eval144.0ms (4.3%)

Compiler: Compiled 5108 to 3862 computations (24.4% saved)

prune89.0ms (2.6%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	364	1	365
Fresh	0	0	0
Picked	0	1	1
Done	1	7	8
Total	365	9	374

Error

Counts

374 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.76%	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
✓	1.92%	(pow.f64 (.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 x)) 3)
✓	0.61%	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x x))) 2)
	21.5%	(pow.f64 (cbrt.f64 (.f64 (.f64 (.f64 3 (.f64 x x)) x) (sqrt.f64 3))) 2)
✓	0.27%	(.f64 (.f64 x 3) x)
✓	49.95%	(.f64 (sqrt.f64 x) (.f64 (.f64 x (sqrt.f64 (.f64 3 x))) (sqrt.f64 3)))
✓	0.31%	(.f64 3 (.f64 x x))
✓	32.96%	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
✓	43.92%	(cbrt.f64 (*.f64 27 (pow.f64 x 6)))

Compiler

Compiled 79 to 62 computations (21.5% saved)

regimes18.0ms (0.5%)

Accuracy

Total -46.0b remaining (-26751.2%)

Threshold costs -46b (-26751.2%)

Counts

15 → 1

Calls

Call 1

Inputs
(.f64 3 (.f64 x x))
(.f64 (.f64 x 3) x)
(cbrt.f64 (*.f64 27 (pow.f64 x 6)))
(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 3))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
(pow.f64 (sqrt.f64 (.f64 3 (.f64 x x))) 2)
(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
(pow.f64 (.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 x)) 3)
(.f64 (.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (.f64 x (sqrt.f64 (.f64 3 x))) (sqrt.f64 3)))
(pow.f64 (cbrt.f64 (.f64 (.f64 (.f64 3 (.f64 x x)) x) (sqrt.f64 3))) 2)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 3)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 3) x) 3)) 2)

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

Calls

2 calls:

7.0ms	x
6.0ms	(.f64 (.f64 x 3) x)

Results

Error	Segments	Branch
0.27%	1	`x`
0.27%	1	`(.f64 (.f64 x 3) x)`

Compiler

Compiled 132 to 97 computations (26.5% saved)

simplify7.0ms (0.2%)

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%)

end16.0ms (0.5%)

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

Details

analyze3.0ms (0.1%)

sample705.0ms (20.9%)

preprocess4.0ms (0.1%)

simplify12.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite48.0ms (1.4%)

simplify70.0ms (2.1%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

localize13.0ms (0.4%)

series1.0ms (0%)

rewrite69.0ms (2%)

simplify100.0ms (3%)

localize4.0ms (0.1%)

series0.0ms (0%)

rewrite66.0ms (1.9%)

simplify65.0ms (1.9%)

localize18.0ms (0.5%)

series4.0ms (0.1%)

rewrite59.0ms (1.8%)

simplify76.0ms (2.3%)

localize12.0ms (0.3%)

series2.0ms (0.1%)

rewrite61.0ms (1.8%)

simplify59.0ms (1.7%)

eval87.0ms (2.6%)

prune34.0ms (1%)

localize9.0ms (0.3%)

series1.0ms (0%)

rewrite65.0ms (1.9%)

simplify67.0ms (2%)

localize13.0ms (0.4%)

series1.0ms (0%)

rewrite62.0ms (1.8%)

simplify86.0ms (2.6%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite56.0ms (1.7%)

simplify61.0ms (1.8%)

localize12.0ms (0.4%)

series6.0ms (0.2%)

rewrite78.0ms (2.3%)

simplify81.0ms (2.4%)

localize17.0ms (0.5%)

series7.0ms (0.2%)

rewrite85.0ms (2.5%)

simplify68.0ms (2%)

eval80.0ms (2.4%)

prune43.0ms (1.3%)

localize54.0ms (1.6%)

series6.0ms (0.2%)

rewrite75.0ms (2.2%)

simplify120.0ms (3.6%)

localize16.0ms (0.5%)

series5.0ms (0.1%)

rewrite95.0ms (2.8%)

simplify80.0ms (2.4%)

localize9.0ms (0.3%)

series0.0ms (0%)

rewrite66.0ms (2%)

simplify80.0ms (2.4%)

eval144.0ms (4.3%)

prune89.0ms (2.6%)

regimes18.0ms (0.5%)

simplify7.0ms (0.2%)

soundness0.0ms (0%)

end16.0ms (0.5%)

Profiling