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)

sample865.0ms (24.3%)

Results

850.0ms	8256×	body	256	valid
0.0ms	5×	body	256	infinite

Bogosity

preprocess8.0ms (0.2%)

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)

simplify11.0ms (0.3%)

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)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite59.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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

Outputs

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

simplify56.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

23 → 13

Calls

Call 1

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

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

eval2.0ms (0.1%)

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

prune3.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

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

Error

0.0b

Counts

14 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
✓	0.2b	(.f64 (.f64 x 3) x)
▶	0.2b	(.f64 3 (.f64 x x))
▶	1.8b	(expm1.f64 (log1p.f64 (.f64 x (.f64 x 3))))

Compiler

Compiled 29 to 21 computations (27.6% saved)

localize21.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (.f64 x (.f64 x 3)))
✓	0.2b	(.f64 x (.f64 x 3))
✓	1.8b	(expm1.f64 (log1p.f64 (.f64 x (.f64 x 3))))

Compiler

Compiled 24 to 16 computations (33.3% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(log1p.f64 (.f64 x (.f64 x 3)))
1.0ms	x	@	0	(log1p.f64 (.f64 x (.f64 x 3)))
1.0ms	x	@	inf	(log1p.f64 (.f64 x (.f64 x 3)))
0.0ms	x	@	-inf	(expm1.f64 (log1p.f64 (.f64 x (.f64 x 3))))
0.0ms	x	@	0	(expm1.f64 (log1p.f64 (.f64 x (.f64 x 3))))

rewrite60.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1424×	`add-sqr-sqrt`
1408×	`*-un-lft-identity`
1308×	`add-cube-cbrt`
1290×	`add-cbrt-cube`
1274×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
1	177	43
2	1811	43

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 3))))
(.f64 x (.f64 x 3))
(log1p.f64 (.f64 x (.f64 x 3)))

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

Outputs

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

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

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

simplify77.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1428×	`fma-def`
1132×	`associate-/l*`
916×	`associate-+l-`
864×	`associate-+r-`
762×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	2102
1	417	1902
2	1490	1866
3	5684	1866

Stop Event

1×	node limit

Counts

98 → 98

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -9/2 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 6)) (+.f64 (.f64 3 (pow.f64 x 2)) (*.f64 -9/2 (pow.f64 x 4))))
(+.f64 (.f64 9 (pow.f64 x 6)) (+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -81/4 (pow.f64 x 8)) (.f64 -9/2 (pow.f64 x 4)))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3))) (*.f64 1/18 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3)))) (.f64 1/18 (/.f64 1 (pow.f64 x 4))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3))
(+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (log.f64 3)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3))) (*.f64 1/18 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3)))) (.f64 1/18 (/.f64 1 (pow.f64 x 4))))
(+.f64 (+.f64 (.f64 x (.f64 x 3)) 1) -1)
(-.f64 (+.f64 (.f64 x (.f64 x 3)) 1) 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))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 x (.f64 x 3)) 1) (+.f64 (.f64 x (.f64 x 3)) 1)) 1) (+.f64 (+.f64 (.f64 x (*.f64 x 3)) 1) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x (.f64 x 3)) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 x (.f64 x 3)) 1) (+.f64 (.f64 x (.f64 x 3)) 1)) (+.f64 1 (.f64 (+.f64 (.f64 x (.f64 x 3)) 1) 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)
(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))
(exp.f64 (log.f64 (.f64 x (.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 3))))
(+.f64 (+.f64 (.f64 x (.f64 x 3)) 1) -1)
(-.f64 (+.f64 (.f64 x (.f64 x 3)) 1) 1)
(/.f64 (-.f64 (.f64 (+.f64 (.f64 x (.f64 x 3)) 1) (+.f64 (.f64 x (.f64 x 3)) 1)) 1) (+.f64 (+.f64 (.f64 x (*.f64 x 3)) 1) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x (.f64 x 3)) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 x (.f64 x 3)) 1) (+.f64 (.f64 x (.f64 x 3)) 1)) (+.f64 1 (.f64 (+.f64 (.f64 x (.f64 x 3)) 1) 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)
(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))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 3))))
(-.f64 (+.f64 1 (log1p.f64 (.f64 x (.f64 x 3)))) 1)
(.f64 (log1p.f64 (.f64 x (*.f64 x 3))) 1)
(.f64 1 (log1p.f64 (.f64 x (*.f64 x 3))))
(.f64 (sqrt.f64 (log1p.f64 (.f64 x (.f64 x 3)))) (sqrt.f64 (log1p.f64 (.f64 x (*.f64 x 3)))))
(.f64 (cbrt.f64 (log1p.f64 (.f64 x (.f64 x 3)))) (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (*.f64 x 3)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 2) (cbrt.f64 (log1p.f64 (.f64 x (*.f64 x 3)))))
(pow.f64 (log1p.f64 (.f64 x (.f64 x 3))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x 3))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x 3))) 2))
(log.f64 (+.f64 (.f64 x (.f64 x 3)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x 3))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (.f64 x (.f64 x 3)))))
(exp.f64 (log.f64 (log1p.f64 (.f64 x (.f64 x 3)))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (.f64 x (*.f64 x 3)))) 1))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -9/2 (pow.f64 x 4)))
(fma.f64 3 (.f64 x x) (.f64 -9/2 (pow.f64 x 4)))
(fma.f64 -9/2 (pow.f64 x 4) (.f64 3 (.f64 x x)))
(+.f64 (.f64 9 (pow.f64 x 6)) (+.f64 (.f64 3 (pow.f64 x 2)) (*.f64 -9/2 (pow.f64 x 4))))
(fma.f64 9 (pow.f64 x 6) (fma.f64 3 (.f64 x x) (.f64 -9/2 (pow.f64 x 4))))
(fma.f64 9 (pow.f64 x 6) (fma.f64 -9/2 (pow.f64 x 4) (.f64 3 (.f64 x x))))
(fma.f64 3 (.f64 x x) (fma.f64 -9/2 (pow.f64 x 4) (.f64 9 (pow.f64 x 6))))
(+.f64 (.f64 9 (pow.f64 x 6)) (+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -81/4 (pow.f64 x 8)) (.f64 -9/2 (pow.f64 x 4)))))
(fma.f64 9 (pow.f64 x 6) (fma.f64 3 (.f64 x x) (fma.f64 -81/4 (pow.f64 x 8) (.f64 -9/2 (pow.f64 x 4)))))
(fma.f64 9 (pow.f64 x 6) (fma.f64 3 (.f64 x x) (fma.f64 -9/2 (pow.f64 x 4) (.f64 -81/4 (pow.f64 x 8)))))
(fma.f64 3 (.f64 x x) (fma.f64 9 (pow.f64 x 6) (fma.f64 -9/2 (pow.f64 x 4) (.f64 -81/4 (pow.f64 x 8)))))
(fma.f64 9 (pow.f64 x 6) (fma.f64 -81/4 (pow.f64 x 8) (fma.f64 -9/2 (pow.f64 x 4) (.f64 3 (.f64 x x)))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3))
(fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 3))
(log.f64 (.f64 3 (.f64 x x)))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3)))
(+.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 3)) (/.f64 1/3 (*.f64 x x)))
(+.f64 (/.f64 1/3 (.f64 x x)) (log.f64 (.f64 3 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3))) (*.f64 1/18 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 3)) (/.f64 1/3 (*.f64 x x))) (/.f64 1/18 (pow.f64 x 4)))
(+.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 3)) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 -1/18 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (log.f64 (.f64 3 (*.f64 x x)))) (/.f64 1/18 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3)))) (.f64 1/18 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 6))) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 3))) (/.f64 1/18 (pow.f64 x 4)))
(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 3)) (-.f64 (/.f64 1/81 (pow.f64 x 6)) (/.f64 1/18 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 (.f64 3 (.f64 x x))) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 6)))) (/.f64 1/18 (pow.f64 x 4)))
(+.f64 (/.f64 1/3 (.f64 x x)) (-.f64 (+.f64 (/.f64 1/81 (pow.f64 x 6)) (log.f64 (.f64 3 (*.f64 x x)))) (/.f64 1/18 (pow.f64 x 4))))
(+.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))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (log.f64 3)))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 3) (/.f64 1/3 (*.f64 x x))))
(+.f64 (log.f64 3) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 1/3 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3))) (*.f64 1/18 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1/3 (*.f64 x x)) (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 3)) (/.f64 1/18 (pow.f64 x 4))))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 3)) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 -1/18 (pow.f64 x 4))))
(+.f64 (log.f64 3) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 1/3 (*.f64 x x))) (/.f64 -1/18 (pow.f64 x 4))))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 1/3 (*.f64 x x))) (-.f64 (log.f64 3) (/.f64 1/18 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3)))) (.f64 1/18 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 6))) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 3))) (/.f64 1/18 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1/81 (pow.f64 x 6)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 3))) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 -1/18 (pow.f64 x 4))))
(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (log.f64 3) (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 1/81 (pow.f64 x 6))) (/.f64 1/18 (pow.f64 x 4)))))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 1/81 (pow.f64 x 6))) (-.f64 (log.f64 3) (-.f64 (/.f64 1/18 (pow.f64 x 4)) (/.f64 1/3 (*.f64 x x)))))
(+.f64 (+.f64 (.f64 x (.f64 x 3)) 1) -1)
(.f64 3 (.f64 x x))
(-.f64 (+.f64 (.f64 x (.f64 x 3)) 1) 1)
(.f64 3 (.f64 x x))
(.f64 x (.f64 x 3))
(.f64 3 (.f64 x x))
(.f64 3 (.f64 x x))
(.f64 (.f64 x 3) x)
(.f64 3 (.f64 x x))
(.f64 (.f64 x (*.f64 x 3)) 1)
(.f64 3 (.f64 x x))
(.f64 1 (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 x x))
(.f64 (sqrt.f64 (.f64 x 3)) (.f64 (sqrt.f64 (.f64 x 3)) x))
(.f64 3 (.f64 x x))
(.f64 (.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
(.f64 3 (.f64 x x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 x 3)))
(.f64 3 (.f64 x x))
(.f64 (cbrt.f64 (.f64 9 (.f64 x x))) (.f64 (cbrt.f64 (*.f64 x 3)) x))
(.f64 (cbrt.f64 (.f64 (.f64 x x) 9)) (.f64 x (cbrt.f64 (*.f64 3 x))))
(.f64 x (.f64 (cbrt.f64 (.f64 x (.f64 x 9))) (cbrt.f64 (*.f64 3 x))))
(.f64 (cbrt.f64 (.f64 x (.f64 x 3))) (pow.f64 (cbrt.f64 (.f64 x (*.f64 x 3))) 2))
(.f64 3 (.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) (cbrt.f64 (.f64 x (*.f64 x 3))))
(.f64 3 (.f64 x x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x 3)))
(.f64 3 (.f64 x x))
(.f64 (.f64 x x) 3)
(.f64 3 (.f64 x x))
(.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)))
(.f64 3 (.f64 x x))
(.f64 (.f64 x (cbrt.f64 (.f64 9 (.f64 x x)))) (cbrt.f64 (*.f64 x 3)))
(.f64 (cbrt.f64 (.f64 (.f64 x x) 9)) (.f64 x (cbrt.f64 (*.f64 3 x))))
(.f64 x (.f64 (cbrt.f64 (.f64 x (.f64 x 9))) (cbrt.f64 (*.f64 3 x))))
(.f64 (.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 3 (.f64 x x))
(.f64 (.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 3 (.f64 x x))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 x (.f64 x 3)) 1) (+.f64 (.f64 x (.f64 x 3)) 1)) 1) (+.f64 (+.f64 (.f64 x (*.f64 x 3)) 1) 1))
(.f64 3 (.f64 x x))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x (.f64 x 3)) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 x (.f64 x 3)) 1) (+.f64 (.f64 x (.f64 x 3)) 1)) (+.f64 1 (.f64 (+.f64 (.f64 x (.f64 x 3)) 1) 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 3 x) 1) 3) -1) (fma.f64 (fma.f64 x (.f64 3 x) 1) (fma.f64 x (.f64 3 x) 1) (+.f64 (.f64 3 (*.f64 x x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 3 (.f64 x x) 1) 3)) (fma.f64 (fma.f64 3 (.f64 x x) 1) (fma.f64 3 (.f64 x x) 1) (fma.f64 3 (.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 3 (.f64 x x) 1) 3)) (+.f64 1 (.f64 (fma.f64 3 (.f64 x x) 1) (fma.f64 3 (.f64 x x) 2))))
(pow.f64 (.f64 x (.f64 x 3)) 1)
(.f64 3 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 3)) 2)
(.f64 3 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
(.f64 3 (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) 1/3)
(.f64 3 (.f64 x x))
(sqrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2))
(.f64 3 (.f64 x x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) x) x))
(.f64 3 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 3))
(.f64 3 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x 3))))
(.f64 3 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 3))) 1))
(.f64 3 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 3))))
(.f64 3 (.f64 x x))
(+.f64 (+.f64 (.f64 x (.f64 x 3)) 1) -1)
(.f64 3 (.f64 x x))
(-.f64 (+.f64 (.f64 x (.f64 x 3)) 1) 1)
(.f64 3 (.f64 x x))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 x (.f64 x 3)) 1) (+.f64 (.f64 x (.f64 x 3)) 1)) 1) (+.f64 (+.f64 (.f64 x (*.f64 x 3)) 1) 1))
(.f64 3 (.f64 x x))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x (.f64 x 3)) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 x (.f64 x 3)) 1) (+.f64 (.f64 x (.f64 x 3)) 1)) (+.f64 1 (.f64 (+.f64 (.f64 x (.f64 x 3)) 1) 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 3 x) 1) 3) -1) (fma.f64 (fma.f64 x (.f64 3 x) 1) (fma.f64 x (.f64 3 x) 1) (+.f64 (.f64 3 (*.f64 x x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 3 (.f64 x x) 1) 3)) (fma.f64 (fma.f64 3 (.f64 x x) 1) (fma.f64 3 (.f64 x x) 1) (fma.f64 3 (.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 3 (.f64 x x) 1) 3)) (+.f64 1 (.f64 (fma.f64 3 (.f64 x x) 1) (fma.f64 3 (.f64 x x) 2))))
(pow.f64 (.f64 x (.f64 x 3)) 1)
(.f64 3 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 3)) 2)
(.f64 3 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
(.f64 3 (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) 1/3)
(.f64 3 (.f64 x x))
(sqrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2))
(.f64 3 (.f64 x x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) x) x))
(.f64 3 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 3))
(.f64 3 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 3))))
(.f64 3 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x 3))))
(.f64 3 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 3))) 1))
(.f64 3 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 3))))
(.f64 3 (.f64 x x))
(-.f64 (+.f64 1 (log1p.f64 (.f64 x (.f64 x 3)))) 1)
(+.f64 1 (-.f64 (log1p.f64 (.f64 3 (.f64 x x))) 1))
(log1p.f64 (.f64 3 (.f64 x x)))
(.f64 (log1p.f64 (.f64 x (*.f64 x 3))) 1)
(+.f64 1 (-.f64 (log1p.f64 (.f64 3 (.f64 x x))) 1))
(log1p.f64 (.f64 3 (.f64 x x)))
(.f64 1 (log1p.f64 (.f64 x (*.f64 x 3))))
(+.f64 1 (-.f64 (log1p.f64 (.f64 3 (.f64 x x))) 1))
(log1p.f64 (.f64 3 (.f64 x x)))
(.f64 (sqrt.f64 (log1p.f64 (.f64 x (.f64 x 3)))) (sqrt.f64 (log1p.f64 (.f64 x (*.f64 x 3)))))
(+.f64 1 (-.f64 (log1p.f64 (.f64 3 (.f64 x x))) 1))
(log1p.f64 (.f64 3 (.f64 x x)))
(.f64 (cbrt.f64 (log1p.f64 (.f64 x (.f64 x 3)))) (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (*.f64 x 3)))) 2))
(+.f64 1 (-.f64 (log1p.f64 (.f64 3 (.f64 x x))) 1))
(log1p.f64 (.f64 3 (.f64 x x)))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 2) (cbrt.f64 (log1p.f64 (.f64 x (*.f64 x 3)))))
(+.f64 1 (-.f64 (log1p.f64 (.f64 3 (.f64 x x))) 1))
(log1p.f64 (.f64 3 (.f64 x x)))
(pow.f64 (log1p.f64 (.f64 x (.f64 x 3))) 1)
(+.f64 1 (-.f64 (log1p.f64 (.f64 3 (.f64 x x))) 1))
(log1p.f64 (.f64 3 (.f64 x x)))
(pow.f64 (sqrt.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 2)
(+.f64 1 (-.f64 (log1p.f64 (.f64 3 (.f64 x x))) 1))
(log1p.f64 (.f64 3 (.f64 x x)))
(pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 3)
(+.f64 1 (-.f64 (log1p.f64 (.f64 3 (.f64 x x))) 1))
(log1p.f64 (.f64 3 (.f64 x x)))
(pow.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x 3))) 3) 1/3)
(+.f64 1 (-.f64 (log1p.f64 (.f64 3 (.f64 x x))) 1))
(log1p.f64 (.f64 3 (.f64 x x)))
(sqrt.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x 3))) 2))
(+.f64 1 (-.f64 (log1p.f64 (.f64 3 (.f64 x x))) 1))
(log1p.f64 (.f64 3 (.f64 x x)))
(log.f64 (+.f64 (.f64 x (.f64 x 3)) 1))
(+.f64 1 (-.f64 (log1p.f64 (.f64 3 (.f64 x x))) 1))
(log1p.f64 (.f64 3 (.f64 x x)))
(cbrt.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x 3))) 3))
(+.f64 1 (-.f64 (log1p.f64 (.f64 3 (.f64 x x))) 1))
(log1p.f64 (.f64 3 (.f64 x x)))
(expm1.f64 (log1p.f64 (log1p.f64 (.f64 x (.f64 x 3)))))
(+.f64 1 (-.f64 (log1p.f64 (.f64 3 (.f64 x x))) 1))
(log1p.f64 (.f64 3 (.f64 x x)))
(exp.f64 (log.f64 (log1p.f64 (.f64 x (.f64 x 3)))))
(+.f64 1 (-.f64 (log1p.f64 (.f64 3 (.f64 x x))) 1))
(log1p.f64 (.f64 3 (.f64 x x)))
(exp.f64 (.f64 (log.f64 (log1p.f64 (.f64 x (*.f64 x 3)))) 1))
(+.f64 1 (-.f64 (log1p.f64 (.f64 3 (.f64 x x))) 1))
(log1p.f64 (.f64 3 (.f64 x x)))

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))

rewrite50.0ms (1.4%)

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))))))))

simplify40.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

23 → 13

Calls

Call 1

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

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

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)
✓	20.5b	(sqrt.f64 (.f64 x (.f64 x 3)))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite64.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify60.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

81 → 75

Calls

Call 1

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

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

eval59.0ms (1.7%)

Compiler: Compiled 2346 to 1743 computations (25.7% saved)

prune22.0ms (0.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	183	4	187
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	184	7	191

Error

0.0b

Counts

191 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
▶	0.7b	(.f64 (.f64 (.f64 x (sqrt.f64 3)) (cbrt.f64 (.f64 x (.f64 x 3)))) (cbrt.f64 (.f64 x (sqrt.f64 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)
▶	1.1b	(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 3) x)) 4))
✓	0.2b	(.f64 3 (.f64 x x))
▶	22.0b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 75 to 57 computations (24% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 9 (pow.f64 x 4))
✓	21.3b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite59.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (1.9%)

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))

localize22.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (sqrt.f64 3) x)
✓	0.6b	(cbrt.f64 (*.f64 (sqrt.f64 3) x))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 3) x)) 4)
✓	21.4b	(cbrt.f64 (.f64 3 (.f64 x x)))

Compiler

Compiled 50 to 34 computations (32% saved)

series5.0ms (0.2%)

Counts

4 → 0

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 3) x)) 4)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 3) x)) 4)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 3) x)) 4)
1.0ms	x	@	0	(cbrt.f64 (.f64 3 (.f64 x x)))
0.0ms	x	@	inf	(cbrt.f64 (.f64 3 (.f64 x x)))

rewrite70.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

2002×	`add-sqr-sqrt`
1974×	`*-un-lft-identity`
1844×	`add-cube-cbrt`
232×	`pow1`
228×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	64
1	259	60
2	2988	60

Stop Event

1×	node limit

Counts

4 → 100

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 3 (.f64 x x))))) 1)))) (#(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 1 (cbrt.f64 (.f64 3 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (sqrt.f64 3)) 1/6) (.f64 (pow.f64 (.f64 x (sqrt.f64 3)) 1/6) (cbrt.f64 (.f64 x (sqrt.f64 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (sqrt.f64 3))) (pow.f64 (.f64 x (sqrt.f64 3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) (.f64 (cbrt.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 (sqrt.f64 3)) (.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x (sqrt.f64 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 3) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 9))) (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 3 (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) 8))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 3 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x))))) (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) (cbrt.f64 (sqrt.f64 3))) (cbrt.f64 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 3 x) 1/3) (cbrt.f64 x))))) (#(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 (.f64 x (sqrt.f64 3)) 2/3)))) (#(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 (.f64 (pow.f64 x 4) 9)) 1/2)))) (#(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 pow.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (.f64 3 (.f64 x x))))))) (#(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 log.f64 (+.f64 1 (expm1.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 (.f64 3 (.f64 x x))) 1/3))))) (#(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 (cbrt.f64 (.f64 x (sqrt.f64 3)))) 2))))) (#(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 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (sqrt.f64 3)) (cbrt.f64 (.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) (.f64 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 x 4) 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 (pow.f64 x 4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 3) (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 3 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 9))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 9))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) (cbrt.f64 (.f64 3 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) 8)) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (.f64 3 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 9) (cbrt.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 9)))) (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 3)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 3)) 1/6) 4) (pow.f64 (pow.f64 (.f64 x (sqrt.f64 3)) 1/6) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 3)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sqrt.f64 3)) 4) (pow.f64 (cbrt.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 9))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (sqrt.f64 3)) 1/6) (pow.f64 (.f64 x (sqrt.f64 3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 3)))) (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 9)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 3)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 3))) 1/3) (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (.f64 x x)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sqrt.f64 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (sqrt.f64 3)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (.f64 3 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 x (sqrt.f64 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x (sqrt.f64 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 x (sqrt.f64 3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sqrt.f64 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) 3)))) (#(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 (pow.f64 (.f64 x (sqrt.f64 3)) 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 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (sqrt.f64 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 3))))))))

simplify72.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1088×	`+-commutative`
980×	`distribute-rgt-in`
974×	`distribute-lft-in`
474×	`sqr-pow`
460×	`swap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	2380
1	364	2258
2	1680	2254
3	5866	2254

Stop Event

1×	node limit

Counts

100 → 120

Calls

Call 1

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

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

localize21.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (cbrt.f64 (.f64 9 (*.f64 x x))))
✓	0.2b	(.f64 (.f64 x (cbrt.f64 (.f64 9 (.f64 x x)))) (cbrt.f64 (*.f64 x 3)))
✓	0.7b	(cbrt.f64 (*.f64 x 3))
✓	21.3b	(cbrt.f64 (.f64 9 (.f64 x x)))

Compiler

Compiled 46 to 26 computations (43.5% saved)

series10.0ms (0.3%)

Counts

4 → 12

Calls

12 calls:

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

rewrite79.0ms (2.2%)

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	90
1	256	64
2	3036	64

Stop Event

1×	node limit

Counts

4 → 130

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

simplify96.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1528×	`associate-/r/`
894×	`distribute-rgt-in`
892×	`distribute-lft-in`
604×	`associate-/l*`
588×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	3998
1	669	3566
2	2352	3452
3	7216	3452

Stop Event

1×	node limit

Counts

142 → 179

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

localize29.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 x (sqrt.f64 3)) (cbrt.f64 (.f64 x (.f64 x 3))))
✓	0.4b	(*.f64 x (sqrt.f64 3))
✓	0.6b	(cbrt.f64 (*.f64 x (sqrt.f64 3)))
✓	21.4b	(cbrt.f64 (.f64 x (.f64 x 3)))

Compiler

Compiled 56 to 41 computations (26.8% saved)

series2.0ms (0.1%)

Counts

4 → 12

Calls

12 calls:

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

rewrite78.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`*-commutative`
926×	`sqrt-prod`
858×	`unswap-sqr`
668×	`swap-sqr`
420×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	76
1	235	76
2	2799	76

Stop Event

1×	node limit

Counts

4 → 143

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 3))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (.f64 x 3))) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(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 1 (cbrt.f64 (.f64 x (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (sqrt.f64 3)) 1/6) (sqrt.f64 (.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (sqrt.f64 3))) (pow.f64 (.f64 x (sqrt.f64 3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 3)))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 x (sqrt.f64 3)) (.f64 9 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) (sqrt.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x 3))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4)))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x (sqrt.f64 3)) (.f64 9 (pow.f64 x 4))))) (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 3 1/6) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 3) (pow.f64 (cbrt.f64 x) 2))))) (#(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 x) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) (pow.f64 3 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (sqrt.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x 3))) (cbrt.f64 (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) (cbrt.f64 x)) (pow.f64 3 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) (pow.f64 3 1/6)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 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1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sqrt.f64 3)) 2/3)))) (#(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 (pow.f64 (.f64 x (sqrt.f64 3)) 1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 3)))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x 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)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (.f64 x (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 x (.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 3))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (sqrt.f64 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 (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (sqrt.f64 3)) 1/6) (pow.f64 (.f64 x (sqrt.f64 3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 3)))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 3)))) (sqrt.f64 (.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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(#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (sqrt.f64 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (cbrt.f64 (.f64 x (sqrt.f64 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 x (sqrt.f64 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x (sqrt.f64 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 x (sqrt.f64 3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 3)))) (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 3))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 3)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 3)))) (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 3))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 3)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x 3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sqrt.f64 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) 3)))) (#(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 (pow.f64 (.f64 x (sqrt.f64 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 9 (pow.f64 x 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (sqrt.f64 3)) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 x (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 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 cbrt.f64 (.f64 (sqrt.f64 27) (pow.f64 x 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 log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 3))))))))
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simplify76.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1158×	`distribute-lft-in`
1156×	`distribute-rgt-in`
564×	`times-frac`
526×	`fma-def`
522×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	300	4294972003
1	730	4627
2	2441	4393

Stop Event

1×	node limit

Counts

155 → 223

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

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

eval253.0ms (7.1%)

Compiler: Compiled 12892 to 10031 computations (22.2% saved)

prune127.0ms (3.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	595	4	599
Fresh	0	0	0
Picked	1	0	1
Done	2	4	6
Total	598	8	606

Error

Counts

606 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
▶	0.7b	(.f64 (.f64 x (.f64 (cbrt.f64 (.f64 9 x)) (cbrt.f64 x))) (cbrt.f64 (*.f64 x 3)))
✓	0.2b	(.f64 (.f64 x 3) x)
▶	1.0b	(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 3 (*.f64 x x)))) 4))
▶	0.3b	(.f64 (cbrt.f64 9) (.f64 (*.f64 (cbrt.f64 3) x) x))
✓	0.2b	(.f64 3 (.f64 x x))
▶	22.1b	(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 3))
✓	22.0b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 80 to 61 computations (23.8% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 9 (pow.f64 x 4))
✓	0.2b	(pow.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 3)
✓	21.3b	(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 3))
✓	33.2b	(cbrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 36 to 30 computations (16.7% saved)

series6.0ms (0.2%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 3))
1.0ms	x	@	0	(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 3))
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 3)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 3)
0.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 3)

rewrite71.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1788×	`add-sqr-sqrt`
1750×	`*-un-lft-identity`
1656×	`add-cube-cbrt`
1644×	`add-cbrt-cube`
200×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	248	43
2	2487	43

Stop Event

1×	node limit

Counts

3 → 88

Calls

Call 1

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

Outputs

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

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

simplify78.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

938×	`*-commutative`
938×	`unswap-sqr`
616×	`distribute-lft-in`
606×	`+-commutative`
584×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	2018
1	368	1986
2	1611	1980
3	5187	1972

Stop Event

1×	node limit

Counts

100 → 98

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))))) 1)
(.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))) 1)
(.f64 1 (cbrt.f64 (.f64 9 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (.f64 3 (*.f64 x x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4)))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 81))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 81)) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81))) (cbrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 9))
(*.f64 (cbrt.f64 9) (cbrt.f64 (pow.f64 x 4)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 9 (pow.f64 x 4))))
(pow.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 1)
(pow.f64 (*.f64 9 (pow.f64 x 4)) 1/3)
(pow.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))) 3)
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 81)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4)))) 1))
(exp.f64 (.f64 (log.f64 (.f64 9 (pow.f64 x 4))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 x x)))) 1)
(.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))) (cbrt.f64 (.f64 3 (.f64 x x))))
(.f64 3 (.f64 x x))
(.f64 (.f64 3 (*.f64 x x)) 1)
(.f64 1 (.f64 3 (*.f64 x x)))
(.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 3 (*.f64 x x))))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (.f64 9 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81)) 1/2))
(.f64 (.f64 x x) 3)
(.f64 (.f64 x x) (pow.f64 9 1/2))
(.f64 (pow.f64 1 3/2) (.f64 3 (*.f64 x x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 3/2) (pow.f64 (cbrt.f64 (.f64 3 (*.f64 x x))) 3/2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))) 3/2))
(*.f64 (pow.f64 (cbrt.f64 9) 3/2) (pow.f64 (cbrt.f64 (pow.f64 x 4)) 3/2))
(.f64 (pow.f64 9 1/2) (.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81)) 1/2) (cbrt.f64 (.f64 3 (.f64 x x))))
(.f64 (pow.f64 1 1/2) (.f64 3 (*.f64 x x)))
(pow.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 3/2)
(pow.f64 (*.f64 9 (pow.f64 x 4)) 1/2)
(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 9 (pow.f64 x 4)) 3/2) 1/3)
(fabs.f64 (.f64 3 (.f64 x x)))
(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 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 (cbrt.f64 (.f64 9 (pow.f64 x 4)))) 3/2))
(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 (exp.f64 (log1p.f64 (*.f64 9 (pow.f64 x 4)))) 1)
(*.f64 9 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) 9)
(.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 8) 81)))
(.f64 (.f64 9 (pow.f64 x 4)) 1)
(.f64 (.f64 3 (.f64 x x)) (.f64 3 (*.f64 x x)))
(.f64 1 (.f64 9 (pow.f64 x 4)))
(.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (.f64 3 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 8) 81))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81)) (cbrt.f64 (*.f64 9 (pow.f64 x 4))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4)))) (cbrt.f64 (*.f64 (pow.f64 x 8) 81))))
(.f64 (cbrt.f64 (pow.f64 x 8)) (.f64 (cbrt.f64 (pow.f64 x 4)) 9))
(.f64 (cbrt.f64 9) (.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 (pow.f64 x 8) 81))))
(.f64 (.f64 x x) (.f64 (.f64 x x) 9))
(.f64 (.f64 (.f64 3 (.f64 x x)) (sqrt.f64 (.f64 3 (.f64 x x)))) (sqrt.f64 (.f64 3 (.f64 x x))))
(.f64 (.f64 9 (cbrt.f64 (pow.f64 x 8))) (cbrt.f64 (pow.f64 x 4)))
(.f64 (.f64 9 (.f64 x x)) (.f64 x x))
(.f64 (.f64 (.f64 3 (.f64 x x)) (cbrt.f64 (.f64 9 (pow.f64 x 4)))) (cbrt.f64 (.f64 3 (*.f64 x x))))
(.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81)) 1) (cbrt.f64 (.f64 9 (pow.f64 x 4))))
(.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81)) (cbrt.f64 (.f64 3 (.f64 x x)))) (cbrt.f64 (.f64 3 (*.f64 x x))))
(.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81)) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81)))) (cbrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))
(.f64 (.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 81)) (cbrt.f64 9)) (cbrt.f64 (pow.f64 x 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81))) 3) (cbrt.f64 (*.f64 9 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 9) 3) (pow.f64 x 4))
(sqrt.f64 (*.f64 (pow.f64 x 8) 81))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 9))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 9 (pow.f64 x 4)))))
(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 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))))) 1)
(cbrt.f64 (*.f64 9 (pow.f64 x 4)))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))) 1)
(cbrt.f64 (*.f64 9 (pow.f64 x 4)))
(.f64 1 (cbrt.f64 (.f64 9 (pow.f64 x 4))))
(cbrt.f64 (*.f64 9 (pow.f64 x 4)))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (.f64 3 (*.f64 x x))))
(cbrt.f64 (*.f64 9 (pow.f64 x 4)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4)))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 81))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 81)) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4)))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 81))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81))) (cbrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4)))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 81))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 9))
(*.f64 (cbrt.f64 9) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 9))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4)))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 81))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 9 (pow.f64 x 4))))
(cbrt.f64 (*.f64 9 (pow.f64 x 4)))
(pow.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 1)
(cbrt.f64 (*.f64 9 (pow.f64 x 4)))
(pow.f64 (*.f64 9 (pow.f64 x 4)) 1/3)
(cbrt.f64 (*.f64 9 (pow.f64 x 4)))
(pow.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 2)
(cbrt.f64 (*.f64 9 (pow.f64 x 4)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))) 3)
(cbrt.f64 (*.f64 9 (pow.f64 x 4)))
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 81)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 9 (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))))))
(cbrt.f64 (*.f64 9 (pow.f64 x 4)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 9 (pow.f64 x 4)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 9 (pow.f64 x 4)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4)))) 1))
(cbrt.f64 (*.f64 9 (pow.f64 x 4)))
(exp.f64 (.f64 (log.f64 (.f64 9 (pow.f64 x 4))) 1/3))
(cbrt.f64 (*.f64 9 (pow.f64 x 4)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 9 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 x x)))) 1)
(.f64 3 (.f64 x x))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))) (cbrt.f64 (.f64 3 (.f64 x x))))
(.f64 3 (.f64 x x))
(.f64 3 (.f64 x x))
(.f64 (.f64 3 (*.f64 x x)) 1)
(.f64 3 (.f64 x x))
(.f64 1 (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 x x))
(.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 3 (*.f64 x x))))
(.f64 3 (.f64 x x))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (.f64 9 (pow.f64 x 4))))
(.f64 3 (.f64 x x))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81)) 1/2))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81))))
(.f64 (.f64 x x) 3)
(.f64 3 (.f64 x x))
(.f64 (.f64 x x) (pow.f64 9 1/2))
(.f64 3 (.f64 x x))
(.f64 (pow.f64 1 3/2) (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 3/2) (pow.f64 (cbrt.f64 (.f64 3 (*.f64 x x))) 3/2))
(.f64 3 (.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))) 3/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))) 3/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81))) (pow.f64 (*.f64 9 (pow.f64 x 4)) 1/6))
(*.f64 (pow.f64 (cbrt.f64 9) 3/2) (pow.f64 (cbrt.f64 (pow.f64 x 4)) 3/2))
(.f64 (pow.f64 9 1/2) (.f64 x x))
(.f64 3 (.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81)) 1/2) (cbrt.f64 (.f64 3 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81))))
(.f64 (pow.f64 1 1/2) (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 3/2)
(.f64 3 (.f64 x x))
(pow.f64 (*.f64 9 (pow.f64 x 4)) 1/2)
(.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 9 (pow.f64 x 4)) 3/2) 1/3)
(.f64 3 (.f64 x x))
(fabs.f64 (.f64 3 (.f64 x x)))
(.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 9 (pow.f64 x 4)) 3/2))
(.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 (cbrt.f64 (.f64 9 (pow.f64 x 4)))) 3/2))
(.f64 3 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 9 (pow.f64 x 4))) 1/2))
(.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))
(-.f64 (exp.f64 (log1p.f64 (*.f64 9 (pow.f64 x 4)))) 1)
(*.f64 9 (pow.f64 x 4))
(*.f64 9 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) 9)
(*.f64 9 (pow.f64 x 4))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 8) 81)))
(.f64 (.f64 9 (pow.f64 x 4)) 1)
(*.f64 9 (pow.f64 x 4))
(.f64 (.f64 3 (.f64 x x)) (.f64 3 (*.f64 x x)))
(*.f64 9 (pow.f64 x 4))
(.f64 1 (.f64 9 (pow.f64 x 4)))
(*.f64 9 (pow.f64 x 4))
(.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (.f64 3 (.f64 x x))))
(*.f64 9 (pow.f64 x 4))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 8) 81))))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 8) 81)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81)) (cbrt.f64 (*.f64 9 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 8) 81)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4)))) (cbrt.f64 (*.f64 (pow.f64 x 8) 81))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 81))) 4))
(.f64 (cbrt.f64 (pow.f64 x 8)) (.f64 (cbrt.f64 (pow.f64 x 4)) 9))
(.f64 (cbrt.f64 (pow.f64 x 8)) (.f64 9 (cbrt.f64 (pow.f64 x 4))))
(.f64 9 (.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 8))))
(.f64 (cbrt.f64 9) (.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 (pow.f64 x 8) 81))))
(.f64 (cbrt.f64 9) (.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 81)) (cbrt.f64 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 9)))
(.f64 (.f64 x x) (.f64 (.f64 x x) 9))
(*.f64 9 (pow.f64 x 4))
(.f64 (.f64 (.f64 3 (.f64 x x)) (sqrt.f64 (.f64 3 (.f64 x x)))) (sqrt.f64 (.f64 3 (.f64 x x))))
(*.f64 9 (pow.f64 x 4))
(.f64 (.f64 9 (cbrt.f64 (pow.f64 x 8))) (cbrt.f64 (pow.f64 x 4)))
(.f64 (cbrt.f64 (pow.f64 x 8)) (.f64 9 (cbrt.f64 (pow.f64 x 4))))
(.f64 9 (.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 8))))
(.f64 (.f64 9 (.f64 x x)) (.f64 x x))
(*.f64 9 (pow.f64 x 4))
(.f64 (.f64 (.f64 3 (.f64 x x)) (cbrt.f64 (.f64 9 (pow.f64 x 4)))) (cbrt.f64 (.f64 3 (*.f64 x x))))
(*.f64 9 (pow.f64 x 4))
(.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81)) 1) (cbrt.f64 (.f64 9 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 8) 81)))
(.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81)) (cbrt.f64 (.f64 3 (.f64 x x)))) (cbrt.f64 (.f64 3 (*.f64 x x))))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 8) 81)))
(.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81)) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81)))) (cbrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4)))) (cbrt.f64 (*.f64 (pow.f64 x 8) 81))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 81))) 4))
(.f64 (.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 81)) (cbrt.f64 9)) (cbrt.f64 (pow.f64 x 4)))
(.f64 (cbrt.f64 9) (.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 81)) (cbrt.f64 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 9)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81))) 3) (cbrt.f64 (*.f64 9 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 8) 81)))
(*.f64 (pow.f64 (cbrt.f64 9) 3) (pow.f64 x 4))
(*.f64 9 (pow.f64 x 4))
(sqrt.f64 (*.f64 (pow.f64 x 8) 81))
(*.f64 9 (pow.f64 x 4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 9))
(*.f64 9 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 9 (pow.f64 x 4)))))
(*.f64 9 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 9 (pow.f64 x 4)) 3))
(*.f64 9 (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 9 (pow.f64 x 4))))
(*.f64 9 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 9 (pow.f64 x 4))))
(*.f64 9 (pow.f64 x 4))
(exp.f64 (.f64 (log.f64 (.f64 9 (pow.f64 x 4))) 1))
(*.f64 9 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 9 (pow.f64 x 4))))
(*.f64 9 (pow.f64 x 4))

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 21 computations (22.2% saved)

series6.0ms (0.2%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(*.f64 (cbrt.f64 3) x)
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 (.f64 (cbrt.f64 3) x) x)

rewrite70.0ms (2%)

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	2433	41

Stop Event

1×	node limit

Counts

3 → 39

Calls

Call 1

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

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

simplify54.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1340×	`associate-+l+`
1322×	`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	2680	1071

Stop Event

1×	node limit

Counts

63 → 50

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 (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 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 (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 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))))
(-.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))))

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

localize20.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 3 (.f64 x x))
✓	0.2b	(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 3 (*.f64 x x)))) 4))
✓	0.7b	(pow.f64 (sqrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) 4)
	21.4b	(cbrt.f64 (.f64 3 (.f64 x x)))

Compiler

Compiled 50 to 29 computations (42% saved)

series44.0ms (1.2%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
40.0ms	x	@	0	(pow.f64 (sqrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) 4)
2.0ms	x	@	0	(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 3 (*.f64 x x)))) 4))
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) 4)
0.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) 4)
0.0ms	x	@	inf	(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 3 (*.f64 x x)))) 4))

rewrite91.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1790×	`add-sqr-sqrt`
1762×	`*-un-lft-identity`
1650×	`add-cube-cbrt`
1636×	`add-cbrt-cube`
218×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	68
1	243	30
2	2812	30

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs

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

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

simplify69.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1344×	`fma-def`
1204×	`log-prod`
994×	`associate-r`
854×	`associate-l`
842×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	1057
1	190	1057
2	495	1057
3	2867	985
4	7991	985

Stop Event

1×	node limit

Counts

49 → 47

Calls

Call 1

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

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

localize21.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (cbrt.f64 (.f64 9 x)) (cbrt.f64 x))
✓	0.6b	(cbrt.f64 (*.f64 9 x))
✓	0.6b	(cbrt.f64 x)
	0.7b	(cbrt.f64 (*.f64 x 3))

Compiler

Compiled 50 to 32 computations (36% saved)

series2.0ms (0.1%)

Counts

3 → 0

Calls

9 calls:

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

rewrite60.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1540×	`add-sqr-sqrt`
1520×	`*-un-lft-identity`
1424×	`add-cube-cbrt`
1404×	`add-cbrt-cube`
1386×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	175	33
2	1971	33

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

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

Outputs

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

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

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

simplify53.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1350×	`associate-+l+`
1316×	`associate-+r+`
984×	`distribute-rgt-in`
960×	`associate-r`
926×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	115	1271
1	231	983
2	791	695
3	3072	695

Stop Event

1×	node limit

Counts

57 → 70

Calls

Call 1

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

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

eval215.0ms (6.1%)

Compiler: Compiled 7284 to 5285 computations (27.4% saved)

prune64.0ms (1.8%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	448	2	450
Fresh	0	0	0
Picked	0	1	1
Done	1	6	7
Total	449	9	458

Error

Counts

458 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
	22.1b	(pow.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 3/2)
✓	0.7b	(.f64 (.f64 x (.f64 (cbrt.f64 (.f64 9 x)) (cbrt.f64 x))) (cbrt.f64 (*.f64 x 3)))
✓	0.2b	(.f64 (.f64 x 3) x)
✓	1.0b	(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 3 (*.f64 x x)))) 4))
✓	0.3b	(.f64 (cbrt.f64 9) (.f64 (*.f64 (cbrt.f64 3) x) x))
✓	0.2b	(.f64 3 (.f64 x x))
	22.0b	(sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 9)))
✓	22.0b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 90 to 66 computations (26.7% saved)

regimes17.0ms (0.5%)

Accuracy

Total -22.8b remaining (-12664.4%)

Threshold costs -22.8b (-12664.4%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	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 150 to 105 computations (30% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	11	26

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

soundness0.0ms (0%)

end14.0ms (0.4%)

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

Details

analyze3.0ms (0.1%)

sample865.0ms (24.3%)

preprocess8.0ms (0.2%)

simplify11.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite59.0ms (1.7%)

simplify56.0ms (1.6%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

localize21.0ms (0.6%)

series4.0ms (0.1%)

rewrite60.0ms (1.7%)

simplify77.0ms (2.2%)

localize4.0ms (0.1%)

series0.0ms (0%)

rewrite50.0ms (1.4%)

simplify40.0ms (1.1%)

localize10.0ms (0.3%)

series1.0ms (0%)

rewrite64.0ms (1.8%)

simplify60.0ms (1.7%)

eval59.0ms (1.7%)

prune22.0ms (0.6%)

localize12.0ms (0.3%)

series1.0ms (0%)

rewrite59.0ms (1.7%)

simplify67.0ms (1.9%)

localize22.0ms (0.6%)

series5.0ms (0.2%)

rewrite70.0ms (2%)

simplify72.0ms (2%)

localize21.0ms (0.6%)

series10.0ms (0.3%)

rewrite79.0ms (2.2%)

simplify96.0ms (2.7%)

localize29.0ms (0.8%)

series2.0ms (0.1%)

rewrite78.0ms (2.2%)

simplify76.0ms (2.1%)

eval253.0ms (7.1%)

prune127.0ms (3.6%)

localize17.0ms (0.5%)

series6.0ms (0.2%)

rewrite71.0ms (2%)

simplify78.0ms (2.2%)

localize12.0ms (0.3%)

series6.0ms (0.2%)

rewrite70.0ms (2%)

simplify54.0ms (1.5%)

localize20.0ms (0.6%)

series44.0ms (1.2%)

rewrite91.0ms (2.6%)

simplify69.0ms (1.9%)

localize21.0ms (0.6%)

series2.0ms (0.1%)

rewrite60.0ms (1.7%)

simplify53.0ms (1.5%)

eval215.0ms (6.1%)

prune64.0ms (1.8%)

regimes17.0ms (0.5%)

simplify6.0ms (0.2%)

soundness0.0ms (0%)

end14.0ms (0.4%)

Profiling