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)

sample856.0ms (29%)

Results

843.0ms	8256×	body	256	valid
0.0ms	5×	body	256	infinite

Bogosity

preprocess15.0ms (0.5%)

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)

simplify15.0ms (0.5%)

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)

prune5.0ms (0.2%)

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

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(.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
✓	0.1b	(.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
1.0ms	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)

rewrite51.0ms (1.7%)

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))))))))

simplify65.0ms (2.2%)

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

4 alts after pruning (3 fresh and 1 done)

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

Error

0.0b

Counts

14 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
✓	0.1b	(.f64 (.f64 x 3) x)
▶	0.1b	(.f64 3 (.f64 x x))
▶	23.0b	(cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 3))

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize14.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 x 3))
✓	0.2b	(pow.f64 (.f64 x (.f64 x 3)) 3)
✓	22.4b	(cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 3))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	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))

rewrite74.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	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))
(pow.f64 (.f64 x (.f64 x 3)) 3)
(.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 .f64 x (.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x 3)) (.f64 (sqrt.f64 (.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (sqrt.f64 3)) (.f64 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 9 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (.f64 x 3))) (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (.f64 x 3))) (pow.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (cbrt.f64 (.f64 x (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (cbrt.f64 (.f64 9 (.f64 x x)))) (cbrt.f64 (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x 3) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) 1/3) (cbrt.f64 (.f64 x (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (.f64 x (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 x (.f64 x 3)) 3/2) 1/3) (pow.f64 (pow.f64 (.f64 x (.f64 x 3)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (.f64 x 3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (*.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) 27)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (.f64 x 3) (pow.f64 (.f64 x (.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 3) (.f64 x (pow.f64 (.f64 x (.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (.f64 x 3)) (pow.f64 (.f64 x (.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 x x) 3) 27) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (pow.f64 (.f64 x x) 3) 27))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (.f64 x 3)) 3/2) (pow.f64 (.f64 x (.f64 x 3)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (sqrt.f64 3)) (.f64 (.f64 x (sqrt.f64 3)) (pow.f64 (.f64 x (.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (.f64 (cbrt.f64 (.f64 x (.f64 x 3))) (pow.f64 (.f64 x (.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 x (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) (.f64 3 (pow.f64 (.f64 x (.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 3) (.f64 27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 27 (pow.f64 x 3)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) x) (.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) 1) (.f64 x (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 x (sqrt.f64 3))) (.f64 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2))) (cbrt.f64 (.f64 x (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (sqrt.f64 3)) 3) (pow.f64 (.f64 x (sqrt.f64 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) 3) (.f64 x (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x x) 3) 27)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (pow.f64 (.f64 x x) 3) 27)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 27) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 (.f64 x x) 3) 27)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (.f64 x (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (.f64 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 (.f64 x x) 3) 27)))))))
((#(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))))))))

Outputs

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

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

((#(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))))))))

simplify59.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1658×	`associate-+r+`
1652×	`distribute-rgt-in`
1626×	`distribute-lft-in`
1518×	`associate-+l+`
780×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	138	1813
1	336	1741
2	1356	1741
3	3210	1741

Stop Event

1×	node limit

Counts

111 → 77

Calls

Call 1

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

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (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))

rewrite52.0ms (1.7%)

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))))))))

simplify36.0ms (1.2%)

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))

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(.f64 x (.f64 x 3))
✓	0.3b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
✓	23.3b	(sqrt.f64 (.f64 x (.f64 x 3)))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite58.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify53.0ms (1.8%)

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))

eval50.0ms (1.7%)

Compiler: Compiled 1784 to 1282 computations (28.1% saved)

prune23.0ms (0.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	161	5	166
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	162	8	170

Error

0.0b

Counts

170 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
✓	0.3b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
▶	0.8b	(.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) (.f64 (cbrt.f64 (.f64 x 3)) x))
▶	33.2b	(.f64 (.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))
✓	0.1b	(.f64 (.f64 x 3) x)
▶	0.6b	(.f64 (cbrt.f64 (.f64 x x)) (.f64 3 (.f64 x (cbrt.f64 x))))
✓	0.1b	(.f64 3 (.f64 x x))
▶	16.3b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 121 to 89 computations (26.4% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
✓	0.3b	(*.f64 (sqrt.f64 3) x)

Compiler

Compiled 16 to 13 computations (18.8% saved)

series2.0ms (0.1%)

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	@	inf	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)

rewrite55.0ms (1.8%)

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))))))))

simplify64.0ms (2.2%)

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))

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 9 (pow.f64 x 4))
✓	15.7b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series17.0ms (0.6%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	x	@	inf	(*.f64 9 (pow.f64 x 4))
1.0ms	x	@	0	(*.f64 9 (pow.f64 x 4))
0.0ms	x	@	0	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
0.0ms	x	@	-inf	(*.f64 9 (pow.f64 x 4))
0.0ms	x	@	inf	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

rewrite54.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

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

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

simplify59.0ms (2%)

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))

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 12 computations (47.8% saved)

series3.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

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

rewrite55.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify42.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

38 → 31

Calls

Call 1

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

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

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x (cbrt.f64 x))
✓	0.2b	(.f64 3 (.f64 x (cbrt.f64 x)))
✓	0.6b	(cbrt.f64 x)
✓	24.2b	(cbrt.f64 (*.f64 x x))

Compiler

Compiled 33 to 11 computations (66.7% saved)

series7.0ms (0.2%)

Counts

4 → 0

Calls

12 calls:

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

rewrite63.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1600×	`add-sqr-sqrt`
1576×	`*-un-lft-identity`
1468×	`add-cube-cbrt`
1452×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	194	44
2	2245	44

Stop Event

1×	node limit

Counts

4 → 79

Calls

Call 1

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

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

simplify58.0ms (2%)

Algorithm

1×	egg-herbie

Rules

762×	`log-prod`
560×	`*-commutative`
538×	`swap-sqr`
526×	`+-commutative`
518×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	154	907
1	296	901
2	1190	897
3	4144	891

Stop Event

1×	node limit

Counts

79 → 88

Calls

Call 1

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

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

localize17.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 36 to 27 computations (25% saved)

series13.0ms (0.4%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 x 3)) 2)
2.0ms	x	@	0	(.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) (.f64 (cbrt.f64 (.f64 x 3)) x))
2.0ms	x	@	-inf	(.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) (.f64 (cbrt.f64 (.f64 x 3)) x))
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 x 3)) 2)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x 3)) 2)

rewrite73.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1864×	`add-sqr-sqrt`
1840×	`*-un-lft-identity`
1714×	`add-cube-cbrt`
1686×	`add-cbrt-cube`
200×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	58
1	222	58
2	2498	58

Stop Event

1×	node limit

Counts

4 → 72

Calls

Call 1

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

simplify90.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1472×	`fma-def`
546×	`*-commutative`
546×	`+-commutative`
510×	`distribute-lft-in`
496×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	153	1294
1	304	1288
2	1215	1272
3	3829	1260
4	7978	1260

Stop Event

1×	node limit

Counts

84 → 91

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

eval87.0ms (2.9%)

Compiler: Compiled 4258 to 2888 computations (32.2% saved)

prune45.0ms (1.5%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	327	3	330
Fresh	0	0	0
Picked	0	1	1
Done	1	6	7
Total	328	10	338

Error

Counts

338 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
✓	0.3b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
✓	0.8b	(.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) (.f64 (cbrt.f64 (.f64 x 3)) x))
▶	0.8b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 3 (*.f64 x (cbrt.f64 x))))
▶	0.7b	(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))))) (.f64 3 (.f64 x (cbrt.f64 x))))
✓	0.1b	(.f64 (.f64 x 3) x)
▶	33.1b	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))
✓	0.6b	(.f64 (cbrt.f64 (.f64 x x)) (.f64 3 (.f64 x (cbrt.f64 x))))
✓	0.1b	(.f64 3 (.f64 x x))
✓	16.3b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 105 to 73 computations (30.5% saved)

localize14.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

series2.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

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

rewrite58.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify62.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

38 → 33

Calls

Call 1

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

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

localize21.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))))
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2)
	0.6b	(cbrt.f64 x)
✓	10.5b	(cbrt.f64 (*.f64 x (cbrt.f64 x)))

Compiler

Compiled 79 to 25 computations (68.4% saved)

series81.0ms (2.7%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	x	@	0	(cbrt.f64 (*.f64 x (cbrt.f64 x)))
20.0ms	x	@	0	(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))))
16.0ms	x	@	-inf	(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))))
10.0ms	x	@	-inf	(cbrt.f64 (*.f64 x (cbrt.f64 x)))
9.0ms	x	@	inf	(cbrt.f64 (*.f64 x (cbrt.f64 x)))

rewrite62.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1610×	`add-sqr-sqrt`
1584×	`*-un-lft-identity`
1478×	`add-cube-cbrt`
1458×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	237	47
2	2333	47

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

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

Outputs

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

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

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

simplify58.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1646×	`distribute-rgt-in`
1646×	`distribute-lft-in`
1002×	`unswap-sqr`
660×	`associate-+r+`
630×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	2315
1	299	2303
2	994	2267
3	3314	2267

Stop Event

1×	node limit

Counts

91 → 85

Calls

Call 1

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

Outputs
(pow.f64 (pow.f64 x 4) 1/9)
(*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))
(pow.f64 (pow.f64 x 4) 1/9)
(*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))
(pow.f64 (pow.f64 x 4) 1/9)
(*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))
(pow.f64 (pow.f64 x 4) 1/9)
(*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))
(pow.f64 (pow.f64 x 4) 1/9)
(*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))
(pow.f64 (pow.f64 x 4) 1/9)
(*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))
(pow.f64 (pow.f64 x 4) 1/9)
(*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))
(pow.f64 (pow.f64 x 4) 1/9)
(*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))
(.f64 (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))
(.f64 (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))
(.f64 (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))
(.f64 (.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))
(pow.f64 (pow.f64 x 8) 1/9)
(*.f64 (pow.f64 (pow.f64 x 8) 1/18) (pow.f64 (pow.f64 x 8) 1/18))
(pow.f64 (pow.f64 x 8) 1/9)
(*.f64 (pow.f64 (pow.f64 x 8) 1/18) (pow.f64 (pow.f64 x 8) 1/18))
(pow.f64 (pow.f64 x 8) 1/9)
(*.f64 (pow.f64 (pow.f64 x 8) 1/18) (pow.f64 (pow.f64 x 8) 1/18))
(pow.f64 (pow.f64 x 8) 1/9)
(*.f64 (pow.f64 (pow.f64 x 8) 1/18) (pow.f64 (pow.f64 x 8) 1/18))
(pow.f64 (pow.f64 x 8) 1/9)
(*.f64 (pow.f64 (pow.f64 x 8) 1/18) (pow.f64 (pow.f64 x 8) 1/18))
(pow.f64 (pow.f64 x 8) 1/9)
(*.f64 (pow.f64 (pow.f64 x 8) 1/18) (pow.f64 (pow.f64 x 8) 1/18))
(pow.f64 (pow.f64 x 8) 1/9)
(*.f64 (pow.f64 (pow.f64 x 8) 1/18) (pow.f64 (pow.f64 x 8) 1/18))
(pow.f64 (pow.f64 x 8) 1/9)
(*.f64 (pow.f64 (pow.f64 x 8) 1/18) (pow.f64 (pow.f64 x 8) 1/18))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 8)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 8) 1/3))
(.f64 (.f64 (pow.f64 (pow.f64 x 8) 1/18) (pow.f64 (pow.f64 x 8) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 8)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 8)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 8) 1/3))
(.f64 (.f64 (pow.f64 (pow.f64 x 8) 1/18) (pow.f64 (pow.f64 x 8) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 8)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 8)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 8) 1/3))
(.f64 (.f64 (pow.f64 (pow.f64 x 8) 1/18) (pow.f64 (pow.f64 x 8) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 8)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 8)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 8) 1/3))
(.f64 (.f64 (pow.f64 (pow.f64 x 8) 1/18) (pow.f64 (pow.f64 x 8) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 8)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))))) 1)
(cbrt.f64 (*.f64 x (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
(.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) 1)
(cbrt.f64 (*.f64 x (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
(.f64 1 (cbrt.f64 (.f64 x (cbrt.f64 x))))
(cbrt.f64 (*.f64 x (cbrt.f64 x)))
(.f64 (pow.f64 x 1/6) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cbrt.f64 x))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) 2))
(cbrt.f64 (*.f64 x (cbrt.f64 x)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))))
(cbrt.f64 (*.f64 x (cbrt.f64 x)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 4))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))
(.f64 (pow.f64 1 1/2) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(cbrt.f64 (*.f64 x (cbrt.f64 x)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(cbrt.f64 (*.f64 x (cbrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) 2) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 4))))
(pow.f64 (*.f64 x (cbrt.f64 x)) 1/3)
(cbrt.f64 (*.f64 x (cbrt.f64 x)))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2) 1/2)
(cbrt.f64 (*.f64 x (cbrt.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 1)
(cbrt.f64 (*.f64 x (cbrt.f64 x)))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 2)
(*.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) 3)
(cbrt.f64 (*.f64 x (cbrt.f64 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2))
(cbrt.f64 (*.f64 x (cbrt.f64 x)))
(fabs.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(cbrt.f64 (*.f64 x (cbrt.f64 x)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))))
(cbrt.f64 (*.f64 x (cbrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))))))
(cbrt.f64 (*.f64 x (cbrt.f64 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))))
(cbrt.f64 (*.f64 x (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))))
(cbrt.f64 (*.f64 x (cbrt.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 x))) 1/3))
(cbrt.f64 (*.f64 x (cbrt.f64 x)))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))))) 1/2))
(cbrt.f64 (*.f64 x (cbrt.f64 x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) 1))
(cbrt.f64 (*.f64 x (cbrt.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))))
(cbrt.f64 (*.f64 x (cbrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2)
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x (cbrt.f64 x)))))
(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))
(.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) 2) 1)
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2)
(.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2))
(.f64 1 (pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) 2))
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (cbrt.f64 (*.f64 x (cbrt.f64 x)))))
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2)
(.f64 (.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))
(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))
(.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4))
(.f64 (.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))))
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 4))
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2)))
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2))))
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2)
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2)))
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2)
(exp.f64 (.f64 2 (log.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))))))
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))))) 1))
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2)))
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)
(pow.f64 (cbrt.f64 x) 2)
(pow.f64 x 2/3)
(pow.f64 (cbrt.f64 x) 2)
(pow.f64 (cbrt.f64 x) 2)
(pow.f64 (*.f64 x (cbrt.f64 x)) 1/2)
(sqrt.f64 (*.f64 x (cbrt.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3)
(pow.f64 (cbrt.f64 x) 2)
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 1)
(pow.f64 (cbrt.f64 x) 2)
(pow.f64 (*.f64 x x) 1/3)
(cbrt.f64 (*.f64 x x))
(sqrt.f64 (*.f64 x (cbrt.f64 x)))
(fabs.f64 (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (cbrt.f64 x) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (cbrt.f64 x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))
(pow.f64 (cbrt.f64 x) 2)
(cbrt.f64 (*.f64 x x))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) 1))
(pow.f64 (cbrt.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (cbrt.f64 x) 2)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 31 to 14 computations (54.8% saved)

series2.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

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

rewrite50.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1116×	`add-sqr-sqrt`
1096×	`*-un-lft-identity`
1034×	`pow1`
1022×	`add-cube-cbrt`
1010×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	138	11
2	1493	11

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (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 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 log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))))

simplify56.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1150×	`associate-/l*`
1106×	`associate-r`
1012×	`exp-prod`
984×	`associate-/r*`
878×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	366
1	75	300
2	187	234
3	518	234
4	2614	234
5	7791	234

Stop Event

1×	node limit

Counts

16 → 20

Calls

Call 1

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

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

eval94.0ms (3.2%)

Compiler: Compiled 7286 to 3255 computations (55.3% saved)

prune52.0ms (1.8%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	353	1	354
Fresh	0	0	0
Picked	0	1	1
Done	1	8	9
Total	354	10	364

Error

Counts

364 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
✓	0.3b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
	0.7b	(.f64 (pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) 3/2) (.f64 3 (.f64 x (cbrt.f64 x))))
✓	0.8b	(.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) (.f64 (cbrt.f64 (.f64 x 3)) x))
✓	0.8b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 3 (*.f64 x (cbrt.f64 x))))
✓	0.1b	(.f64 (.f64 x 3) x)
✓	33.1b	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))
✓	0.6b	(.f64 (cbrt.f64 (.f64 x x)) (.f64 3 (.f64 x (cbrt.f64 x))))
✓	0.1b	(.f64 3 (.f64 x x))
✓	16.3b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 97 to 70 computations (27.8% saved)

regimes15.0ms (0.5%)

Accuracy

Total -45.1b remaining (-31202.5%)

Threshold costs -45.1b (-31202.5%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
5.0ms	(.f64 (.f64 x 3) x)

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(.f64 (.f64 x 3) x)`

Compiler

Compiled 135 to 79 computations (41.5% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	11	26

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

soundness0.0ms (0%)

end14.0ms (0.5%)

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

Details

analyze3.0ms (0.1%)

sample856.0ms (29%)

preprocess15.0ms (0.5%)

simplify15.0ms (0.5%)

eval0.0ms (0%)

prune5.0ms (0.2%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite51.0ms (1.7%)

simplify65.0ms (2.2%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

localize14.0ms (0.5%)

series3.0ms (0.1%)

rewrite74.0ms (2.5%)

simplify59.0ms (2%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite52.0ms (1.7%)

simplify36.0ms (1.2%)

localize10.0ms (0.3%)

series3.0ms (0.1%)

rewrite58.0ms (2%)

simplify53.0ms (1.8%)

eval50.0ms (1.7%)

prune23.0ms (0.8%)

localize8.0ms (0.3%)

series2.0ms (0.1%)

rewrite55.0ms (1.8%)

simplify64.0ms (2.2%)

localize7.0ms (0.3%)

series17.0ms (0.6%)

rewrite54.0ms (1.8%)

simplify59.0ms (2%)

localize10.0ms (0.3%)

series3.0ms (0.1%)

rewrite55.0ms (1.9%)

simplify42.0ms (1.4%)

localize11.0ms (0.4%)

series7.0ms (0.2%)

rewrite63.0ms (2.1%)

simplify58.0ms (2%)

localize17.0ms (0.6%)

series13.0ms (0.4%)

rewrite73.0ms (2.5%)

simplify90.0ms (3%)

eval87.0ms (2.9%)

prune45.0ms (1.5%)

localize14.0ms (0.5%)

series2.0ms (0.1%)

rewrite58.0ms (2%)

simplify62.0ms (2.1%)

localize21.0ms (0.7%)

series81.0ms (2.7%)

rewrite62.0ms (2.1%)

simplify58.0ms (2%)

localize11.0ms (0.4%)

series2.0ms (0.1%)

rewrite50.0ms (1.7%)

simplify56.0ms (1.9%)

eval94.0ms (3.2%)

prune52.0ms (1.8%)

regimes15.0ms (0.5%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end14.0ms (0.5%)

Profiling