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)

sample905.0ms (30.5%)

Results

893.0ms	8256×	body	256	valid
0.0ms	5×	body	256	infinite

Bogosity

preprocess14.0ms (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)

simplify13.0ms (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)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (1.8%)

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))))))))

simplify59.0ms (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

5 alts after pruning (4 fresh and 1 done)

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

Error

0.1b

Counts

14 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
▶	0.9b	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
✓	0.2b	(.f64 (.f64 x 3) x)
▶	0.2b	(.f64 3 (.f64 x x))
▶	3.7b	(exp.f64 (log.f64 (.f64 x (.f64 x 3))))

Compiler

Compiled 38 to 28 computations (26.3% saved)

localize13.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 x 3))
✓	3.7b	(exp.f64 (log.f64 (.f64 x (.f64 x 3))))
✓	19.6b	(log.f64 (.f64 x (.f64 x 3)))

Compiler

Compiled 24 to 16 computations (33.3% saved)

series29.0ms (1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	(log.f64 (.f64 x (.f64 x 3)))
8.0ms	x	@	inf	(log.f64 (.f64 x (.f64 x 3)))
0.0ms	x	@	-inf	(log.f64 (.f64 x (.f64 x 3)))
0.0ms	x	@	0	(exp.f64 (log.f64 (.f64 x (.f64 x 3))))
0.0ms	x	@	inf	(exp.f64 (log.f64 (.f64 x (.f64 x 3))))

rewrite60.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

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

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

Outputs

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

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

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

simplify96.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

107 → 72

Calls

Call 1

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

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite49.0ms (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))))))))

simplify52.0ms (1.8%)

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))

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(.f64 x (.f64 x 3))
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
✓	20.0b	(cbrt.f64 (.f64 x (.f64 x 3)))

Compiler

Compiled 25 to 17 computations (32% saved)

series3.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

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

rewrite57.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify75.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

59 → 80

Calls

Call 1

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

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

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(.f64 x (.f64 x 3))
✓	0.3b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
✓	19.2b	(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)))
0.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
0.0ms	x	@	inf	(sqrt.f64 (.f64 x (.f64 x 3)))
0.0ms	x	@	inf	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
0.0ms	x	@	-inf	(sqrt.f64 (.f64 x (.f64 x 3)))

rewrite71.0ms (2.4%)

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))

eval76.0ms (2.6%)

Compiler: Compiled 2703 to 1909 computations (29.4% saved)

prune29.0ms (1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	236	6	242
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	239	8	247

Error

Counts

247 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
▶	0.7b	(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
	28.7b	(.f64 (.f64 (.f64 x (sqrt.f64 3)) (sqrt.f64 x)) (sqrt.f64 (.f64 x 3)))
▶	28.7b	(.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)))
▶	0.6b	(.f64 (.f64 x (cbrt.f64 (.f64 9 (.f64 x x)))) (cbrt.f64 (*.f64 x 3)))
✓	0.2b	(.f64 (.f64 x 3) x)
✓	0.2b	(.f64 3 (.f64 x x))
▶	19.6b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 136 to 104 computations (23.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite55.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs

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

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

simplify63.0ms (2.1%)

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))
✓	18.8b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite71.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

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

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

simplify62.0ms (2.1%)

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))

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

3 calls:

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

rewrite80.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 13

Calls

Call 1

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

Outputs

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

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

simplify44.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

25 → 17

Calls

Call 1

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

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

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

series4.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

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

rewrite65.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`add-sqr-sqrt`
1610×	`*-un-lft-identity`
1496×	`add-cube-cbrt`
1472×	`add-cbrt-cube`
170×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	41
1	179	41
2	2094	41

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

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

Outputs

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

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

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

simplify53.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1852×	`associate-+r+`
1740×	`associate-+l+`
980×	`unswap-sqr`
384×	`distribute-lft-neg-in`
370×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1197
1	258	929
2	985	921
3	3945	921

Stop Event

1×	node limit

Counts

63 → 64

Calls

Call 1

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

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

localize17.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 9 (.f64 x x))
✓	0.2b	(.f64 (.f64 x (cbrt.f64 (.f64 9 (.f64 x x)))) (cbrt.f64 (*.f64 x 3)))
✓	0.6b	(cbrt.f64 (*.f64 x 3))
✓	19.9b	(cbrt.f64 (.f64 9 (.f64 x x)))

Compiler

Compiled 46 to 26 computations (43.5% saved)

series21.0ms (0.7%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	x	@	-inf	(cbrt.f64 (*.f64 x 3))
4.0ms	x	@	0	(.f64 (.f64 x (cbrt.f64 (.f64 9 (.f64 x x)))) (cbrt.f64 (*.f64 x 3)))
2.0ms	x	@	-inf	(.f64 (.f64 x (cbrt.f64 (.f64 9 (.f64 x x)))) (cbrt.f64 (*.f64 x 3)))
1.0ms	x	@	inf	(.f64 (.f64 x (cbrt.f64 (.f64 9 (.f64 x x)))) (cbrt.f64 (*.f64 x 3)))
1.0ms	x	@	inf	(cbrt.f64 (.f64 9 (.f64 x x)))

rewrite84.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1098×	`*-commutative`
966×	`sqrt-prod`
850×	`unswap-sqr`
698×	`swap-sqr`
430×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	80
1	256	54
2	3036	54

Stop Event

1×	node limit

Counts

4 → 132

Calls

Call 1

Inputs
(cbrt.f64 (.f64 9 (.f64 x x)))
(cbrt.f64 (*.f64 x 3))
(.f64 (.f64 x (cbrt.f64 (.f64 9 (.f64 x x)))) (cbrt.f64 (*.f64 x 3)))
(.f64 9 (.f64 x x))

Outputs
((#(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 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2))) 1)))) (#(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 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(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 1 (pow.f64 (cbrt.f64 (.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x 3) 1/6) (sqrt.f64 (.f64 x 3)))))) (#(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 (cbrt.f64 (cbrt.f64 (.f64 x 3))) (.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 (cbrt.f64 (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 4) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 4) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 3))) 4) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (cbrt.f64 (.f64 9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (.f64 (pow.f64 (.f64 9 x) 1/6) (pow.f64 (.f64 9 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 3) (cbrt.f64 (.f64 x (.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 (cbrt.f64 (.f64 x (.f64 x 3))) (cbrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 9) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 9 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2))) (cbrt.f64 (cbrt.f64 (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 (cbrt.f64 (.f64 x 3)))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 3)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 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(.f64 x 3) 1/6) (.f64 (pow.f64 (sqrt.f64 (.f64 x 3)) 1/6) (pow.f64 (sqrt.f64 (.f64 x 3)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 3))) 4))) (cbrt.f64 (cbrt.f64 (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) (cbrt.f64 9))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x 3) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x 3) 1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 3))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) 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 fabs.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2))))) (#(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 expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x 3)) 2/3))))) (#(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 (cbrt.f64 (.f64 x 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x 3)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(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 (cbrt.f64 (.f64 x 3))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 (cbrt.f64 (.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (cbrt.f64 (cbrt.f64 (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x 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3))) (.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cbrt.f64 3)) (cbrt.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (cbrt.f64 3)) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 x 3) 2) 1/12) (pow.f64 (pow.f64 (.f64 x 3) 2) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) 1/4) (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 3))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 3))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x 3) 2) 1/6)))) (#(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 (.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x 3) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x 3)) 2/3)))) (#(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 fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.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 log1p.f64 (expm1.f64 (cbrt.f64 (.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) (exp.f64 (log1p.f64 (.f64 x (.f64 x 3))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) (exp.f64 (log1p.f64 (.f64 x (.f64 x 3))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 x (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 x 3) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 x 3) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 x 3) 2))) (exp.f64 (log1p.f64 (pow.f64 (.f64 x 3) 2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 x 3) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 x 3) 2))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 x 3) 2))) (exp.f64 (log1p.f64 (pow.f64 (.f64 x 3) 2)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 x 3) 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x 3) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x 3)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x 3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x 3) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x 3) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (.f64 x 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 x 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 x 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x 3) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 x 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 x 3) 2)))))))

simplify94.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1036×	`distribute-lft-in`
1034×	`distribute-rgt-in`
608×	`times-frac`
500×	`associate-/l*`
482×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	285	3946
1	663	3524
2	2344	3428
3	7490	3428

Stop Event

1×	node limit

Counts

156 → 184

Calls

Call 1

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

Outputs
(.f64 (cbrt.f64 9) (.f64 (pow.f64 x 2) (cbrt.f64 3)))
(.f64 (cbrt.f64 9) (.f64 (*.f64 x x) (cbrt.f64 3)))
(.f64 (cbrt.f64 9) (.f64 (*.f64 (cbrt.f64 3) x) x))
(.f64 (cbrt.f64 9) (.f64 (pow.f64 x 2) (cbrt.f64 3)))
(.f64 (cbrt.f64 9) (.f64 (*.f64 x x) (cbrt.f64 3)))
(.f64 (cbrt.f64 9) (.f64 (*.f64 (cbrt.f64 3) x) x))
(.f64 (cbrt.f64 9) (.f64 (pow.f64 x 2) (cbrt.f64 3)))
(.f64 (cbrt.f64 9) (.f64 (*.f64 x x) (cbrt.f64 3)))
(.f64 (cbrt.f64 9) (.f64 (*.f64 (cbrt.f64 3) x) x))
(.f64 (cbrt.f64 9) (.f64 (pow.f64 x 2) (cbrt.f64 3)))
(.f64 (cbrt.f64 9) (.f64 (*.f64 x x) (cbrt.f64 3)))
(.f64 (cbrt.f64 9) (.f64 (*.f64 (cbrt.f64 3) x) x))
(.f64 (cbrt.f64 9) (.f64 (pow.f64 x 2) (cbrt.f64 3)))
(.f64 (cbrt.f64 9) (.f64 (*.f64 x x) (cbrt.f64 3)))
(.f64 (cbrt.f64 9) (.f64 (*.f64 (cbrt.f64 3) x) x))
(.f64 (cbrt.f64 9) (.f64 (pow.f64 x 2) (cbrt.f64 3)))
(.f64 (cbrt.f64 9) (.f64 (*.f64 x x) (cbrt.f64 3)))
(.f64 (cbrt.f64 9) (.f64 (*.f64 (cbrt.f64 3) x) x))
(.f64 (cbrt.f64 9) (.f64 (pow.f64 x 2) (cbrt.f64 3)))
(.f64 (cbrt.f64 9) (.f64 (*.f64 x x) (cbrt.f64 3)))
(.f64 (cbrt.f64 9) (.f64 (*.f64 (cbrt.f64 3) x) x))
(.f64 (cbrt.f64 9) (.f64 (pow.f64 x 2) (cbrt.f64 3)))
(.f64 (cbrt.f64 9) (.f64 (*.f64 x x) (cbrt.f64 3)))
(.f64 (cbrt.f64 9) (.f64 (*.f64 (cbrt.f64 3) x) x))
(.f64 -1 (.f64 (cbrt.f64 -3) (*.f64 (cbrt.f64 9) (pow.f64 x 2))))
(neg.f64 (.f64 (cbrt.f64 -3) (.f64 (cbrt.f64 9) (*.f64 x x))))
(.f64 (cbrt.f64 -3) (neg.f64 (.f64 (cbrt.f64 9) (*.f64 x x))))
(.f64 (.f64 (cbrt.f64 9) (*.f64 x x)) (neg.f64 (cbrt.f64 -3)))
(.f64 -1 (.f64 (cbrt.f64 -3) (*.f64 (cbrt.f64 9) (pow.f64 x 2))))
(neg.f64 (.f64 (cbrt.f64 -3) (.f64 (cbrt.f64 9) (*.f64 x x))))
(.f64 (cbrt.f64 -3) (neg.f64 (.f64 (cbrt.f64 9) (*.f64 x x))))
(.f64 (.f64 (cbrt.f64 9) (*.f64 x x)) (neg.f64 (cbrt.f64 -3)))
(.f64 -1 (.f64 (cbrt.f64 -3) (*.f64 (cbrt.f64 9) (pow.f64 x 2))))
(neg.f64 (.f64 (cbrt.f64 -3) (.f64 (cbrt.f64 9) (*.f64 x x))))
(.f64 (cbrt.f64 -3) (neg.f64 (.f64 (cbrt.f64 9) (*.f64 x x))))
(.f64 (.f64 (cbrt.f64 9) (*.f64 x x)) (neg.f64 (cbrt.f64 -3)))
(.f64 -1 (.f64 (cbrt.f64 -3) (*.f64 (cbrt.f64 9) (pow.f64 x 2))))
(neg.f64 (.f64 (cbrt.f64 -3) (.f64 (cbrt.f64 9) (*.f64 x x))))
(.f64 (cbrt.f64 -3) (neg.f64 (.f64 (cbrt.f64 9) (*.f64 x x))))
(.f64 (.f64 (cbrt.f64 9) (*.f64 x x)) (neg.f64 (cbrt.f64 -3)))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2))) -1)
(pow.f64 (cbrt.f64 (*.f64 x 3)) 2)
(cbrt.f64 (.f64 x (.f64 9 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 x 3)) 2)
(cbrt.f64 (.f64 x (.f64 9 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) 1)
(pow.f64 (cbrt.f64 (*.f64 x 3)) 2)
(cbrt.f64 (.f64 x (.f64 9 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(pow.f64 (cbrt.f64 (*.f64 x 3)) 2)
(cbrt.f64 (.f64 x (.f64 9 x)))
(.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 (*.f64 x 3)))
(pow.f64 (cbrt.f64 (*.f64 x 3)) 2)
(cbrt.f64 (.f64 x (.f64 9 x)))
(.f64 1 (pow.f64 (cbrt.f64 (.f64 x 3)) 2))
(pow.f64 (cbrt.f64 (*.f64 x 3)) 2)
(cbrt.f64 (.f64 x (.f64 9 x)))
(.f64 (pow.f64 (.f64 x 3) 1/6) (sqrt.f64 (*.f64 x 3)))
(pow.f64 (cbrt.f64 (*.f64 x 3)) 2)
(cbrt.f64 (.f64 x (.f64 9 x)))
(.f64 (sqrt.f64 (.f64 x 3)) (pow.f64 (*.f64 x 3) 1/6))
(pow.f64 (cbrt.f64 (*.f64 x 3)) 2)
(cbrt.f64 (.f64 x (.f64 9 x)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x 3))) (.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 (cbrt.f64 (*.f64 x 3)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 3))) 4))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x 3))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 9 x)))) 5/2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 3))) 4))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 (cbrt.f64 (*.f64 x 3)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x 3))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 9 x)))) 5/2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 (cbrt.f64 (*.f64 x 3)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 3))) 4))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x 3))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 9 x)))) 5/2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 4) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 4) 1/6)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 4)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 9 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 4)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)))))
(pow.f64 (cbrt.f64 (*.f64 x 3)) 2)
(cbrt.f64 (.f64 x (.f64 9 x)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 3))) 4) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 (cbrt.f64 (*.f64 x 3)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 3))) 4))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x 3))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 9 x)))) 5/2))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 9 x)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 x 3)) (cbrt.f64 3)))
(.f64 (cbrt.f64 (.f64 x 3)) (*.f64 (cbrt.f64 3) (cbrt.f64 x)))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 (.f64 9 x) 1/6) (pow.f64 (.f64 9 x) 1/6)))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 9 x)))
(.f64 (cbrt.f64 3) (cbrt.f64 (.f64 x (*.f64 x 3))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 9))
(*.f64 (cbrt.f64 9) (pow.f64 (cbrt.f64 x) 2))
(.f64 (cbrt.f64 (.f64 x (*.f64 x 3))) (cbrt.f64 3))
(.f64 (cbrt.f64 3) (cbrt.f64 (.f64 x (*.f64 x 3))))
(*.f64 (cbrt.f64 9) (pow.f64 (cbrt.f64 x) 2))
(.f64 (cbrt.f64 (.f64 9 x)) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 9 x)))
(.f64 (.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 x 3))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 (cbrt.f64 (*.f64 x 3)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 3))) 4))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x 3))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 9 x)))) 5/2))
(.f64 (.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 (cbrt.f64 (.f64 x 3)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 (cbrt.f64 (*.f64 x 3)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 3))) 4))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x 3))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 9 x)))) 5/2))
(.f64 (.f64 (cbrt.f64 (*.f64 x 3)) (cbrt.f64 3)) (cbrt.f64 x))
(.f64 (cbrt.f64 (.f64 x 3)) (*.f64 (cbrt.f64 3) (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2))
(pow.f64 (cbrt.f64 (*.f64 x 3)) 2)
(cbrt.f64 (.f64 x (.f64 9 x)))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 4) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 4) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 4) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 4) 1/6)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 4)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 9 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 4)))
(.f64 (.f64 (pow.f64 (.f64 9 x) 1/6) (pow.f64 (.f64 9 x) 1/6)) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 9 x)))
(.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2))
(pow.f64 (cbrt.f64 (*.f64 x 3)) 2)
(cbrt.f64 (.f64 x (.f64 9 x)))
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 x 3)) 1/6) (pow.f64 (sqrt.f64 (.f64 x 3)) 1/6)) (pow.f64 (.f64 x 3) 1/6)) (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 x 3)) 1/6) (pow.f64 (sqrt.f64 (.f64 x 3)) 1/6)) (pow.f64 (*.f64 x 3) 1/6)))
(.f64 (cbrt.f64 (.f64 x 3)) (.f64 (pow.f64 (sqrt.f64 (.f64 x 3)) 1/6) (.f64 (pow.f64 (sqrt.f64 (.f64 x 3)) 1/6) (.f64 (pow.f64 (sqrt.f64 (.f64 x 3)) 1/6) (pow.f64 (sqrt.f64 (*.f64 x 3)) 1/6)))))
(.f64 (cbrt.f64 (.f64 x 3)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x 3))) (cbrt.f64 (sqrt.f64 (*.f64 x 3)))))
(.f64 (cbrt.f64 (.f64 x 3)) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x 3)) 1/6) 4))
(.f64 (.f64 (pow.f64 (.f64 x 3) 1/6) (.f64 (pow.f64 (sqrt.f64 (.f64 x 3)) 1/6) (pow.f64 (sqrt.f64 (.f64 x 3)) 1/6))) (.f64 (pow.f64 (.f64 x 3) 1/6) (.f64 (pow.f64 (sqrt.f64 (.f64 x 3)) 1/6) (pow.f64 (sqrt.f64 (*.f64 x 3)) 1/6))))
(.f64 (cbrt.f64 (.f64 x 3)) (.f64 (pow.f64 (sqrt.f64 (.f64 x 3)) 1/6) (.f64 (pow.f64 (sqrt.f64 (.f64 x 3)) 1/6) (.f64 (pow.f64 (sqrt.f64 (.f64 x 3)) 1/6) (pow.f64 (sqrt.f64 (*.f64 x 3)) 1/6)))))
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(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 x 3) 2))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 x 3) 2))) (exp.f64 (log1p.f64 (pow.f64 (.f64 x 3) 2)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 x 3) 2))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 x 3) 2))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (pow.f64 (.f64 x 3) 2)) (log1p.f64 (pow.f64 (.f64 x 3) 2)))) (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (.f64 x 3) 2))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 9 (.f64 x x)))) 3)) (+.f64 (exp.f64 (.f64 2 (log1p.f64 (.f64 9 (.f64 x x))))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 9 (*.f64 x x)))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (.f64 x (.f64 9 x))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 9 x)))) (pow.f64 (exp.f64 2) (log1p.f64 (.f64 x (*.f64 9 x)))))))
(pow.f64 (pow.f64 (*.f64 x 3) 2) 1)
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) 3)
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(pow.f64 (*.f64 x 3) 2)
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(pow.f64 (cbrt.f64 (*.f64 x 3)) 6)
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(pow.f64 (sqrt.f64 (*.f64 x 3)) 4)
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(pow.f64 (pow.f64 (*.f64 x 3) 3) 2/3)
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(pow.f64 (pow.f64 (*.f64 x 3) 6) 1/3)
(cbrt.f64 (pow.f64 (*.f64 x 3) 6))
(cbrt.f64 (*.f64 (pow.f64 x 6) 729))
(sqrt.f64 (pow.f64 (*.f64 x 3) 4))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(fabs.f64 (pow.f64 (*.f64 x 3) 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(log.f64 (exp.f64 (pow.f64 (*.f64 x 3) 2)))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x 3) 2))))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(cbrt.f64 (pow.f64 (*.f64 x 3) 6))
(cbrt.f64 (*.f64 (pow.f64 x 6) 729))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x 3) 2)))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(exp.f64 (.f64 (log.f64 (.f64 x 3)) 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x 3) 2)))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))

eval169.0ms (5.7%)

Compiler: Compiled 5869 to 4452 computations (24.1% saved)

prune75.0ms (2.5%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	383	1	384
Fresh	1	0	1
Picked	1	0	1
Done	0	6	6
Total	385	7	392

Error

Counts

392 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
✓	0.7b	(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
✓	28.7b	(.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)))
✓	0.2b	(.f64 (.f64 x 3) x)
▶	0.3b	(.f64 (cbrt.f64 9) (.f64 (*.f64 (cbrt.f64 3) x) x))
✓	0.2b	(.f64 3 (.f64 x x))
✓	19.6b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 57 to 44 computations (22.8% saved)

localize26.0ms (0.9%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (cbrt.f64 9) (.f64 (*.f64 (cbrt.f64 3) x) x))
✓	0.2b	(.f64 (.f64 (cbrt.f64 3) x) x)
✓	0.3b	(*.f64 (cbrt.f64 3) x)

Compiler

Compiled 27 to 21 computations (22.2% saved)

series2.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (cbrt.f64 3) x)
0.0ms	x	@	0	(.f64 (cbrt.f64 9) (.f64 (*.f64 (cbrt.f64 3) x) x))
0.0ms	x	@	inf	(*.f64 (cbrt.f64 3) x)
0.0ms	x	@	-inf	(*.f64 (cbrt.f64 3) x)
0.0ms	x	@	inf	(.f64 (.f64 (cbrt.f64 3) x) x)

rewrite71.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1850×	`add-sqr-sqrt`
1828×	`*-un-lft-identity`
1704×	`add-cube-cbrt`
1672×	`add-cbrt-cube`
196×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	213	41
2	2434	41

Stop Event

1×	node limit

Counts

3 → 39

Calls

Call 1

Inputs
(*.f64 (cbrt.f64 3) x)
(.f64 (.f64 (cbrt.f64 3) x) x)
(.f64 (cbrt.f64 9) (.f64 (*.f64 (cbrt.f64 3) x) x))

Outputs

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

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

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

simplify53.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1338×	`associate-+l+`
1324×	`associate-+r+`
1084×	`fma-def`
744×	`log-prod`
562×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	1071
1	215	1071
2	745	1071
3	2692	1071

Stop Event

1×	node limit

Counts

63 → 48

Calls

Call 1

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

eval10.0ms (0.3%)

Compiler: Compiled 490 to 365 computations (25.5% saved)

prune12.0ms (0.4%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	48	7	55

Error

Counts

55 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
✓	0.7b	(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
✓	28.7b	(.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)))
✓	0.2b	(.f64 (.f64 x 3) x)
✓	0.3b	(.f64 (cbrt.f64 9) (.f64 (*.f64 (cbrt.f64 3) x) x))
✓	0.2b	(.f64 3 (.f64 x x))
✓	19.6b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes25.0ms (0.8%)

Accuracy

Total -39.7b remaining (-21614.5%)

Threshold costs -39.7b (-21614.5%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	x
4.0ms	(.f64 (.f64 x 3) x)

Results

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

Compiler

Compiled 107 to 76 computations (29% 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×	done
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%)

end17.0ms (0.6%)

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

Details

analyze3.0ms (0.1%)

sample905.0ms (30.5%)

preprocess14.0ms (0.5%)

simplify13.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series2.0ms (0.1%)

rewrite53.0ms (1.8%)

simplify59.0ms (2%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

localize13.0ms (0.5%)

series29.0ms (1%)

rewrite60.0ms (2%)

simplify96.0ms (3.2%)

localize4.0ms (0.1%)

series0.0ms (0%)

rewrite49.0ms (1.7%)

simplify52.0ms (1.8%)

localize11.0ms (0.4%)

series3.0ms (0.1%)

rewrite57.0ms (1.9%)

simplify75.0ms (2.5%)

localize10.0ms (0.3%)

series3.0ms (0.1%)

rewrite71.0ms (2.4%)

simplify53.0ms (1.8%)

eval76.0ms (2.6%)

prune29.0ms (1%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite55.0ms (1.9%)

simplify63.0ms (2.1%)

localize7.0ms (0.3%)

series1.0ms (0%)

rewrite71.0ms (2.4%)

simplify62.0ms (2.1%)

localize9.0ms (0.3%)

series1.0ms (0%)

rewrite80.0ms (2.7%)

simplify44.0ms (1.5%)

localize11.0ms (0.4%)

series4.0ms (0.1%)

rewrite65.0ms (2.2%)

simplify53.0ms (1.8%)

localize17.0ms (0.6%)

series21.0ms (0.7%)

rewrite84.0ms (2.8%)

simplify94.0ms (3.2%)

eval169.0ms (5.7%)

prune75.0ms (2.5%)

localize26.0ms (0.9%)

series2.0ms (0.1%)

rewrite71.0ms (2.4%)

simplify53.0ms (1.8%)

eval10.0ms (0.3%)

prune12.0ms (0.4%)

regimes25.0ms (0.8%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end17.0ms (0.6%)

Profiling