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
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample816.0ms (24.6%)

Results

805.0ms	8256×	body	256	valid
0.0ms	6×	body	256	infinite

Bogosity

preprocess4.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

6×	`*-commutative`
2×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	12	17
2	13	17
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(sqrt.f64 (.f64 (.f64 2 x) x))
(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify13.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
2×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	12	17
2	13	17

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

Outputs
(sqrt.f64 (.f64 (.f64 2 x) x))
(sqrt.f64 (.f64 2 (.f64 x x)))

eval0.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% 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

30.4b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.4b	(sqrt.f64 (.f64 (.f64 2 x) x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	29.4b	(sqrt.f64 (.f64 (.f64 2 x) x))

Compiler

Compiled 17 to 11 computations (35.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite68.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`add-sqr-sqrt`
1402×	`*-un-lft-identity`
1302×	`add-cube-cbrt`
1286×	`add-cbrt-cube`
1272×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	159	11
2	1814	11

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

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

Outputs

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

simplify62.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1274×	`associate-r`
1020×	`associate-l`
906×	`*-commutative`
682×	`log-prod`
570×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	538
1	145	526
2	645	518
3	3236	478
4	7263	478

Stop Event

1×	node limit

Counts

38 → 32

Calls

Call 1

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

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

eval7.0ms (0.2%)

Compiler: Compiled 267 to 198 computations (25.8% saved)

prune8.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	26	6	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	7	33

Error

0.1b

Counts

33 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.3b	(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
▶	31.1b	(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)
▶	31.2b	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
▶	32.5b	(*.f64 (sqrt.f64 2) (neg.f64 x))
▶	30.5b	(*.f64 (sqrt.f64 2) x)
	30.8b	(.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (cbrt.f64 (.f64 2 (*.f64 x x)))))
✓	30.4b	(sqrt.f64 (.f64 (.f64 2 x) x))

Compiler

Compiled 107 to 83 computations (22.4% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

series0.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite52.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1198×	`add-sqr-sqrt`
1182×	`*-un-lft-identity`
1118×	`pow1`
1096×	`add-cube-cbrt`
1082×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	137	11
2	1511	11

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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

Outputs

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

simplify64.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1066×	`*-commutative`
886×	`log-prod`
738×	`associate--l+`
678×	`distribute-lft-out`
632×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	253
1	79	187
2	273	121
3	1642	121
4	4568	121
5	6886	121

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

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

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1266×	`add-sqr-sqrt`
1248×	`*-un-lft-identity`
1162×	`add-cube-cbrt`
1148×	`add-cbrt-cube`
1134×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	162	11
2	1917	11

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) (neg.f64 x))

Outputs

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

simplify65.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1082×	`*-commutative`
878×	`log-prod`
650×	`distribute-lft-in`
648×	`distribute-rgt-in`
646×	`distribute-lft-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	463
1	90	397
2	331	331
3	1789	331
4	4954	331
5	7952	331

Stop Event

1×	node limit

Counts

25 → 19

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite64.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1556×	`add-sqr-sqrt`
1542×	`*-un-lft-identity`
1430×	`add-cube-cbrt`
1410×	`add-cbrt-cube`
1396×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	178	11
2	2019	11

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify65.0ms (2%)

Algorithm

1×	egg-herbie

Rules

908×	`*-commutative`
860×	`log-prod`
848×	`associate-*r/`
618×	`associate--l+`
592×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	331
1	97	331
2	342	331
3	1801	331
4	4297	331
5	6385	331

Stop Event

1×	node limit

Counts

25 → 18

Calls

Call 1

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

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

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.4b	(*.f64 (sqrt.f64 2) x)
✓	0.5b	(cbrt.f64 (*.f64 (sqrt.f64 2) x))
✓	0.8b	(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)

Compiler

Compiled 22 to 18 computations (18.2% saved)

series4.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

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

rewrite59.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1532×	`add-sqr-sqrt`
1498×	`*-un-lft-identity`
1414×	`add-cube-cbrt`
1398×	`add-cbrt-cube`
1384×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	204	26
2	2046	26

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify66.0ms (2%)

Algorithm

1×	egg-herbie

Rules

746×	`*-commutative`
624×	`distribute-lft-out`
608×	`fma-def`
602×	`distribute-lft-in`
586×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1629
1	248	1393
2	846	1189
3	2052	1171
4	5254	1171

Stop Event

1×	node limit

Counts

55 → 71

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 2) x)) 1)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 x (sqrt.f64 2))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (cbrt.f64 (.f64 2 (.f64 x x))))
(.f64 (.f64 (sqrt.f64 2) x) 1)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(.f64 1 (.f64 (sqrt.f64 2) x))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 1/6) (.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 1/6) (cbrt.f64 (.f64 2 (.f64 x x)))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (cbrt.f64 (.f64 2 (.f64 x x))))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (sqrt.f64 2)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(.f64 (sqrt.f64 (.f64 (sqrt.f64 2) x)) (sqrt.f64 (*.f64 (sqrt.f64 2) x)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))) (cbrt.f64 (.f64 2 (*.f64 x x)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 4))
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (cbrt.f64 x) (cbrt.f64 (.f64 2 (.f64 x x)))))
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (cbrt.f64 x)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (cbrt.f64 (sqrt.f64 2))))
(.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 x)))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) x))
(.f64 (cbrt.f64 2) (.f64 x (cbrt.f64 (sqrt.f64 2))))
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 x (cbrt.f64 2)))
(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sqrt.f64 2)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (cbrt.f64 (.f64 (sqrt.f64 2) x)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (cbrt.f64 (.f64 2 (.f64 x x))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(.f64 (cbrt.f64 2) (.f64 x (cbrt.f64 (sqrt.f64 2))))
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 x (cbrt.f64 2)))
(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2)))
(.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) 1) (cbrt.f64 (*.f64 (sqrt.f64 2) x)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (cbrt.f64 (.f64 2 (.f64 x x))))
(.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (pow.f64 (.f64 (sqrt.f64 2) x) 1/6)) (pow.f64 (.f64 (sqrt.f64 2) x) 1/6))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (cbrt.f64 (.f64 2 (.f64 x x))))
(.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x))))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 4))
(.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 x))
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (cbrt.f64 x)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (cbrt.f64 (sqrt.f64 2))))
(.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 x)))
(.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/6) 3))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 3) (cbrt.f64 (.f64 (sqrt.f64 2) x)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (cbrt.f64 (.f64 2 (.f64 x x))))
(sqrt.f64 (.f64 2 (.f64 x x)))
(fabs.f64 (*.f64 (sqrt.f64 2) x))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) x)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) x)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) x)) 1))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) x)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 (sqrt.f64 2) x))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 1))
(+.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 0)
(cbrt.f64 (*.f64 (sqrt.f64 2) x))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 1))
(+.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 0)
(cbrt.f64 (*.f64 (sqrt.f64 2) x))
(.f64 1 (cbrt.f64 (.f64 (sqrt.f64 2) x)))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 1))
(+.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 0)
(cbrt.f64 (*.f64 (sqrt.f64 2) x))
(.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 1/6) (pow.f64 (*.f64 (sqrt.f64 2) x) 1/6))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 1))
(+.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 0)
(cbrt.f64 (*.f64 (sqrt.f64 2) x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))) (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))) (pow.f64 (cbrt.f64 (.f64 2 (.f64 x x))) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (.f64 x x))) 1/3) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 (sqrt.f64 2) x)))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 1))
(+.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 0)
(cbrt.f64 (*.f64 (sqrt.f64 2) x))
(.f64 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 2) x)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) x))) (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x))))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 1/6) 4)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 1))
(+.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 0)
(cbrt.f64 (*.f64 (sqrt.f64 2) x))
(pow.f64 (*.f64 (sqrt.f64 2) x) 1/3)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 1))
(+.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 0)
(cbrt.f64 (*.f64 (sqrt.f64 2) x))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 1))
(+.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 0)
(cbrt.f64 (*.f64 (sqrt.f64 2) x))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))) 3)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 1))
(+.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 0)
(cbrt.f64 (*.f64 (sqrt.f64 2) x))
(sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 1))
(+.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 0)
(cbrt.f64 (*.f64 (sqrt.f64 2) x))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 1))
(+.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 0)
(cbrt.f64 (*.f64 (sqrt.f64 2) x))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 1))
(+.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 0)
(cbrt.f64 (*.f64 (sqrt.f64 2) x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))) 1))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 1))
(+.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 0)
(cbrt.f64 (*.f64 (sqrt.f64 2) x))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) x)) 1/3))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 1))
(+.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 0)
(cbrt.f64 (*.f64 (sqrt.f64 2) x))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 1))
(+.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 0)
(cbrt.f64 (*.f64 (sqrt.f64 2) x))

localize13.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (*.f64 (sqrt.f64 2) x))
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
	0.4b	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 21 to 17 computations (19% saved)

series3.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

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

rewrite53.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1346×	`add-sqr-sqrt`
1328×	`*-un-lft-identity`
1232×	`add-cube-cbrt`
1218×	`add-cbrt-cube`
1206×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	180	26
2	1765	26

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify62.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

952×	`distribute-lft-in`
914×	`distribute-rgt-in`
852×	`associate-+r+`
770×	`associate-+l+`
746×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	1324
1	216	1102
2	838	880
3	2458	878
4	7035	878

Stop Event

1×	node limit

Counts

50 → 65

Calls

Call 1

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

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

eval90.0ms (2.7%)

Compiler: Compiled 2005 to 1617 computations (19.4% saved)

prune21.0ms (0.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	1	0	1
Picked	1	0	1
Done	1	4	5
Total	216	6	222

Error

0.1b

Counts

222 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.9b	(pow.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 3)
▶	30.6b	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
✓	31.2b	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
✓	32.5b	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	30.5b	(*.f64 (sqrt.f64 2) x)
✓	30.4b	(sqrt.f64 (.f64 (.f64 2 x) x))

Compiler

Compiled 46 to 37 computations (19.6% saved)

localize46.0ms (1.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (pow.f64 2 1/4) x)
✓	0.3b	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))

Compiler

Compiled 21 to 18 computations (14.3% saved)

series32.0ms (1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	x	@	0	(*.f64 (pow.f64 2 1/4) x)
0.0ms	x	@	inf	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
0.0ms	x	@	-inf	(*.f64 (pow.f64 2 1/4) x)
0.0ms	x	@	inf	(*.f64 (pow.f64 2 1/4) x)
0.0ms	x	@	-inf	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))

rewrite55.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1434×	`add-sqr-sqrt`
1414×	`*-un-lft-identity`
1324×	`add-cube-cbrt`
1304×	`add-cbrt-cube`
1286×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	38
1	168	24
2	1899	24

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

Inputs
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(*.f64 (pow.f64 2 1/4) x)

Outputs

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

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

simplify46.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1686×	`log-prod`
1240×	`associate-r`
1078×	`associate-l`
990×	`fma-def`
876×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	566
1	151	500
2	574	434
3	3510	432

Stop Event

1×	node limit

Counts

36 → 31

Calls

Call 1

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

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

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (.f64 x x))
✓	0.1b	(sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x))))
✓	0.8b	(pow.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 3)
✓	30.2b	(cbrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 34 to 19 computations (44.1% saved)

series46.0ms (1.4%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
42.0ms	x	@	0	(pow.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 3)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 3)
1.0ms	x	@	0	(cbrt.f64 (.f64 2 (.f64 x x)))
0.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 3)
0.0ms	x	@	inf	(cbrt.f64 (.f64 2 (.f64 x x)))

rewrite75.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1786×	`add-sqr-sqrt`
1752×	`*-un-lft-identity`
1646×	`add-cube-cbrt`
1634×	`add-cbrt-cube`
194×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	74
1	225	56
2	2501	56

Stop Event

1×	node limit

Counts

4 → 101

Calls

Call 1

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

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

simplify77.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1098×	`+-commutative`
1070×	`distribute-rgt-in`
1070×	`distribute-lft-in`
518×	`distribute-lft-out`
440×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	2511
1	392	2439
2	1910	2415
3	6178	2415

Stop Event

1×	node limit

Counts

113 → 124

Calls

Call 1

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

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

eval50.0ms (1.5%)

Compiler: Compiled 1816 to 1458 computations (19.7% saved)

prune22.0ms (0.7%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	152	3	155
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	152	9	161

Error

0.1b

Counts

161 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.4b	(pow.f64 (sqrt.f64 (.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 x))) 3)
✓	30.9b	(pow.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 3)
▶	1.4b	(pow.f64 (fabs.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))) 3)
▶	1.5b	(*.f64 (pow.f64 (cbrt.f64 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3/2))
✓	30.6b	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
✓	31.2b	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
✓	32.5b	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	30.5b	(*.f64 (sqrt.f64 2) x)
✓	30.4b	(sqrt.f64 (.f64 (.f64 2 x) x))

Compiler

Compiled 78 to 65 computations (16.7% saved)

localize41.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (pow.f64 (cbrt.f64 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3/2))
✓	0.4b	(pow.f64 (cbrt.f64 x) 2)
✓	0.6b	(cbrt.f64 x)
✓	1.0b	(cbrt.f64 2)

Compiler

Compiled 33 to 25 computations (24.2% saved)

series20.0ms (0.6%)

Counts

4 → 12

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	x	@	-inf	(*.f64 (pow.f64 (cbrt.f64 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3/2))
4.0ms	x	@	0	(*.f64 (pow.f64 (cbrt.f64 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3/2))
0.0ms	x	@	-inf	(pow.f64 (cbrt.f64 x) 2)
0.0ms	x	@	inf	(*.f64 (pow.f64 (cbrt.f64 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3/2))
0.0ms	x	@	0	(pow.f64 (cbrt.f64 x) 2)

rewrite70.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1834×	`add-sqr-sqrt`
1796×	`*-un-lft-identity`
1692×	`add-cube-cbrt`
1672×	`add-cbrt-cube`
222×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	248	32
2	2858	32

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

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

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

simplify88.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

996×	`distribute-lft-in`
928×	`distribute-rgt-in`
814×	`fma-def`
762×	`*-commutative`
760×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	152	890
1	274	884
2	959	880
3	3216	872

Stop Event

1×	node limit

Counts

88 → 90

Calls

Call 1

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

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

localize15.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 x (sqrt.f64 2))
✓	0.5b	(cbrt.f64 (*.f64 x (sqrt.f64 2)))
✓	0.8b	(pow.f64 (fabs.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))) 3)

Compiler

Compiled 29 to 24 computations (17.2% saved)

series2.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

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

rewrite62.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`add-sqr-sqrt`
1568×	`*-un-lft-identity`
1482×	`add-cube-cbrt`
1466×	`add-cbrt-cube`
196×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	65
1	224	37
2	2504	37

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

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

Outputs

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

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

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

simplify76.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

796×	`distribute-lft-neg-in`
734×	`distribute-lft-neg-out`
656×	`distribute-rgt-neg-in`
596×	`*-commutative`
568×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	2562
1	312	1798
2	1283	1778
3	4330	1778

Stop Event

1×	node limit

Counts

98 → 98

Calls

Call 1

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

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

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 x))
✓	0.6b	(cbrt.f64 (*.f64 2 x))
	0.6b	(cbrt.f64 x)
✓	0.8b	(pow.f64 (sqrt.f64 (.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 x))) 3)

Compiler

Compiled 38 to 25 computations (34.2% saved)

series5.0ms (0.1%)

Counts

3 → 0

Calls

9 calls:

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

rewrite98.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`*-commutative`
898×	`cbrt-prod`
852×	`sqrt-prod`
774×	`unswap-sqr`
604×	`swap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	243	45
2	2679	39

Stop Event

1×	node limit

Counts

3 → 123

Calls

Call 1

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

Outputs

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

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

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

simplify132.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1520×	`associate-+r+`
1436×	`associate-+l+`
720×	`distribute-rgt-in`
712×	`distribute-lft-in`
558×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	279	4294970853
1	632	3481
2	2473	3421
3	5960	3421

Stop Event

1×	node limit

Counts

123 → 158

Calls

Call 1

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

Outputs
(+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) x))) -1)
(*.f64 (sqrt.f64 2) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) x))) 1)
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (.f64 2 x)) (.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (sqrt.f64 2) x))))
(.f64 (cbrt.f64 (.f64 2 x)) (sqrt.f64 (.f64 x (cbrt.f64 (.f64 2 x)))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 (.f64 (sqrt.f64 2) x))))
(.f64 (cbrt.f64 (.f64 2 x)) (.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (sqrt.f64 2) x))))
(.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (cbrt.f64 (.f64 (sqrt.f64 2) x)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (cbrt.f64 (.f64 2 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (cbrt.f64 (.f64 2 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))) 3/2))
(.f64 (.f64 (sqrt.f64 2) x) 1)
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (sqrt.f64 2) x) (pow.f64 1 3/2))
(*.f64 (sqrt.f64 2) x)
(.f64 1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(.f64 (pow.f64 x 1/6) (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (pow.f64 (*.f64 2 x) 1/6)))
(.f64 (pow.f64 (.f64 2 x) 1/6) (.f64 (cbrt.f64 (.f64 2 (*.f64 x x))) (pow.f64 x 1/6)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 2 x)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 2) x)) (sqrt.f64 (*.f64 (sqrt.f64 2) x)))
(*.f64 (sqrt.f64 2) x)
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 2 x)))
(.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 1/6) (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (pow.f64 (.f64 (sqrt.f64 2) x) 1/6)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (cbrt.f64 (.f64 2 (.f64 x x))))
(.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 1/6) (sqrt.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (.f64 (sqrt.f64 2) x))))
(.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 1/6) (sqrt.f64 (.f64 (.f64 (sqrt.f64 2) x) (cbrt.f64 (.f64 2 (.f64 x x))))))
(.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 1/6) (sqrt.f64 (.f64 (sqrt.f64 2) (.f64 x (cbrt.f64 (.f64 2 (.f64 x x)))))))
(.f64 (pow.f64 (.f64 2 x) 1/6) (.f64 (cbrt.f64 (.f64 2 (*.f64 x x))) (pow.f64 x 1/6)))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) (.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4))))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))) (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)))))
(.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))) (cbrt.f64 (cbrt.f64 (.f64 2 (*.f64 x x))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 4))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))) (.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x))))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))) (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 4))
(.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))) (cbrt.f64 (cbrt.f64 (.f64 2 (*.f64 x x))))))
(.f64 (pow.f64 (.f64 2 x) 1/4) (sqrt.f64 (.f64 x (sqrt.f64 (.f64 2 x)))))
(.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 1/4) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/2)))
(.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 1/4) (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 4) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))))
(.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))) (cbrt.f64 (cbrt.f64 (.f64 2 (*.f64 x x))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 4))
(.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (pow.f64 (.f64 (sqrt.f64 2) x) 1/6)) (pow.f64 (.f64 (sqrt.f64 2) x) 1/6))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (cbrt.f64 (.f64 2 (.f64 x x))))
(.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (pow.f64 (*.f64 2 x) 1/6)) (pow.f64 x 1/6))
(.f64 (pow.f64 (.f64 2 x) 1/6) (.f64 (cbrt.f64 (.f64 2 (*.f64 x x))) (pow.f64 x 1/6)))
(.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4))))) (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))) (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x))))))
(.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x))))) (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))) (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x))))))
(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (sqrt.f64 2) x))) (cbrt.f64 (.f64 2 x)))
(.f64 (cbrt.f64 (.f64 2 x)) (.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (sqrt.f64 2) x))))
(.f64 (.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 (.f64 (sqrt.f64 2) x))) (cbrt.f64 x))
(.f64 (cbrt.f64 (.f64 2 x)) (.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (sqrt.f64 2) x))))
(.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (pow.f64 x 1/6)) (pow.f64 (*.f64 2 x) 1/6))
(.f64 (pow.f64 (.f64 2 x) 1/6) (.f64 (cbrt.f64 (.f64 2 (*.f64 x x))) (pow.f64 x 1/6)))
(.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)))) (cbrt.f64 (cbrt.f64 (.f64 2 (*.f64 x x)))))
(.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))) (cbrt.f64 (cbrt.f64 (.f64 2 (*.f64 x x))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 4))
(.f64 (pow.f64 1 3/2) (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))) 3/2) (cbrt.f64 (*.f64 (sqrt.f64 2) x)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))) 3/2))
(.f64 (.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(.f64 (sqrt.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (.f64 (sqrt.f64 2) x))) (pow.f64 (.f64 (sqrt.f64 2) x) 1/6))
(.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 1/6) (sqrt.f64 (.f64 (.f64 (sqrt.f64 2) x) (cbrt.f64 (.f64 2 (.f64 x x))))))
(.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 1/6) (sqrt.f64 (.f64 (sqrt.f64 2) (.f64 x (cbrt.f64 (.f64 2 (.f64 x x)))))))
(.f64 (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 3/2)) (pow.f64 (*.f64 (sqrt.f64 2) x) 1/4))
(.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 1/4) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3/2)))
(.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 1/4) (pow.f64 (*.f64 (sqrt.f64 2) x) 3/4))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))) (cbrt.f64 (.f64 4 (pow.f64 x 4))))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))) (sqrt.f64 (.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))))))
(.f64 (sqrt.f64 (.f64 (*.f64 2 x) (sqrt.f64 x))) (pow.f64 x 1/4))
(.f64 (sqrt.f64 (.f64 2 (*.f64 x (sqrt.f64 x)))) (pow.f64 x 1/4))
(.f64 (sqrt.f64 (.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 x 1/6))
(.f64 (pow.f64 x 1/6) (sqrt.f64 (.f64 2 (*.f64 x (pow.f64 (cbrt.f64 x) 2)))))
(.f64 (pow.f64 x 1/6) (sqrt.f64 (.f64 x (*.f64 2 (pow.f64 (cbrt.f64 x) 2)))))
(.f64 (pow.f64 (pow.f64 1 1/2) 3) (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) 2)))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (.f64 2 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 2 (*.f64 x x)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) (cbrt.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (.f64 2 (*.f64 x x)))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) x)) (.f64 2 (.f64 x x)))) (pow.f64 (.f64 (sqrt.f64 2) x) 1/6))
(.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 1/6) (cbrt.f64 (.f64 (.f64 2 (.f64 x x)) (sqrt.f64 (.f64 (sqrt.f64 2) x)))))
(.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 1/6) (cbrt.f64 (.f64 (.f64 2 x) (.f64 x (sqrt.f64 (.f64 (sqrt.f64 2) x))))))
(.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 1/6) (cbrt.f64 (.f64 2 (.f64 (.f64 x x) (sqrt.f64 (.f64 (sqrt.f64 2) x))))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) x))) (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) x)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) x))) 1))
(*.f64 (sqrt.f64 2) x)
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) x))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) x))) (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) x)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) x))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) x))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (.f64 (sqrt.f64 2) x)) (log1p.f64 (.f64 (sqrt.f64 2) x)))) (+.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) x))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) x))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) x))) (exp.f64 (.f64 2 (log1p.f64 (.f64 (sqrt.f64 2) x)))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (.f64 (sqrt.f64 2) x)))) (+.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (.f64 (sqrt.f64 2) x))))))
(sqrt.f64 (.f64 2 (.f64 x x)))
(fabs.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(log.f64 (exp.f64 (*.f64 (sqrt.f64 2) x)))
(*.f64 (sqrt.f64 2) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) x))))
(*.f64 (sqrt.f64 2) x)
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3))
(*.f64 (sqrt.f64 2) x)
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) x)))
(*.f64 (sqrt.f64 2) x)
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) x)))
(*.f64 (sqrt.f64 2) x)
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) x)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 2 x)))) -1)
(cbrt.f64 (*.f64 2 x))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 2 x)))) 1)
(cbrt.f64 (*.f64 2 x))
(.f64 (cbrt.f64 (.f64 2 x)) 1)
(cbrt.f64 (*.f64 2 x))
(.f64 (cbrt.f64 (.f64 2 x)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(cbrt.f64 (*.f64 2 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 2))
(.f64 1 (cbrt.f64 (.f64 2 x)))
(cbrt.f64 (*.f64 2 x))
(.f64 (pow.f64 x 1/6) (.f64 (pow.f64 x 1/6) (cbrt.f64 2)))
(*.f64 (cbrt.f64 x) (cbrt.f64 2))
(.f64 (pow.f64 x 1/6) (cbrt.f64 (.f64 2 (sqrt.f64 x))))
(.f64 (pow.f64 (.f64 2 x) 1/6) (pow.f64 (*.f64 2 x) 1/6))
(cbrt.f64 (*.f64 2 x))
(.f64 (cbrt.f64 (cbrt.f64 x)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 2)))
(*.f64 (cbrt.f64 x) (cbrt.f64 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (.f64 2 (cbrt.f64 x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 x))) 2))
(cbrt.f64 (*.f64 2 x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 x))) 2) (cbrt.f64 (cbrt.f64 (*.f64 2 x))))
(cbrt.f64 (*.f64 2 x))
(*.f64 (cbrt.f64 2) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 2))
(.f64 (pow.f64 (.f64 2 x) 1/4) (pow.f64 (*.f64 2 x) 1/12))
(.f64 (pow.f64 (.f64 2 x) 1/12) (pow.f64 (*.f64 2 x) 1/4))
(.f64 (pow.f64 (.f64 2 x) 1/4) (pow.f64 (*.f64 2 x) 1/12))
(.f64 (pow.f64 2 1/6) (cbrt.f64 (.f64 (sqrt.f64 2) x)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (pow.f64 2 1/6))
(.f64 (.f64 (pow.f64 x 1/6) (cbrt.f64 2)) (pow.f64 x 1/6))
(*.f64 (cbrt.f64 x) (cbrt.f64 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (cbrt.f64 2))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (*.f64 2 x)))
(cbrt.f64 (*.f64 2 x))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 (.f64 2 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 x))) 2))) (pow.f64 (cbrt.f64 (*.f64 2 x)) 1/6))
(.f64 (fabs.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 x))) 5/2)) (pow.f64 (cbrt.f64 (*.f64 2 x)) 1/6))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 (*.f64 2 x)) (cbrt.f64 2))) (pow.f64 x 1/6))
(.f64 (pow.f64 x 1/6) (sqrt.f64 (.f64 (cbrt.f64 (*.f64 2 x)) (cbrt.f64 2))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 2 x) 1/6)) 3) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 2 x) 1/6)) 3))
(cbrt.f64 (*.f64 2 x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 1/6) 3))
(cbrt.f64 (*.f64 2 x))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 x)))) 3))
(cbrt.f64 (*.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 2)) 3) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 2))
(.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) (pow.f64 x 1/6))
(.f64 (pow.f64 x 1/6) (cbrt.f64 (.f64 2 (sqrt.f64 x))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 2 x) 1/6) (pow.f64 (cbrt.f64 (.f64 2 x)) 2))) (cbrt.f64 (pow.f64 (*.f64 2 x) 1/6)))
(.f64 (cbrt.f64 (pow.f64 (.f64 2 x) 1/6)) (cbrt.f64 (.f64 (pow.f64 (.f64 2 x) 1/6) (pow.f64 (cbrt.f64 (*.f64 2 x)) 2))))
(.f64 (cbrt.f64 (pow.f64 (.f64 2 x) 1/6)) (cbrt.f64 (pow.f64 (pow.f64 (*.f64 2 x) 1/6) 5)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 x))) 2))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 x)))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 2 x)))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 x))) 2) (pow.f64 (cbrt.f64 (*.f64 2 x)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 2 x)))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 x))) 7) (cbrt.f64 (cbrt.f64 (*.f64 2 x))))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 x)))
(.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (*.f64 2 x)) 2))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 x)))) (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 x))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 x)))) 1))
(cbrt.f64 (*.f64 2 x))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 x)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 x)))) (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 x))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 x)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 x)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (cbrt.f64 (.f64 2 x))) (log1p.f64 (cbrt.f64 (.f64 2 x))))) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 x)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 x)))) 3)) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 x)))) (+.f64 1 (exp.f64 (.f64 2 (log1p.f64 (cbrt.f64 (.f64 2 x))))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (cbrt.f64 (.f64 2 x))))) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 x)))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (cbrt.f64 (.f64 2 x)))))))
(pow.f64 (*.f64 2 x) 1/3)
(cbrt.f64 (*.f64 2 x))
(pow.f64 (cbrt.f64 (*.f64 2 x)) 1)
(cbrt.f64 (*.f64 2 x))
(pow.f64 (sqrt.f64 (*.f64 2 x)) 2/3)
(.f64 (cbrt.f64 (sqrt.f64 (.f64 2 x))) (cbrt.f64 (sqrt.f64 (*.f64 2 x))))
(pow.f64 (pow.f64 (*.f64 2 x) 1/6) 2)
(cbrt.f64 (*.f64 2 x))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) 1/2)
(cbrt.f64 (*.f64 2 x))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 x))) 3)
(cbrt.f64 (*.f64 2 x))
(pow.f64 (.f64 (.f64 x x) 4) 1/6)
(pow.f64 (.f64 x (.f64 x 4)) 1/6)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2))
(cbrt.f64 (*.f64 2 x))
(fabs.f64 (cbrt.f64 (*.f64 2 x)))
(cbrt.f64 (*.f64 2 x))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 2 x))))
(cbrt.f64 (*.f64 2 x))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 2 x)))))
(cbrt.f64 (*.f64 2 x))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 2 x))))
(cbrt.f64 (*.f64 2 x))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 2 x))))
(cbrt.f64 (*.f64 2 x))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 2 x))))
(cbrt.f64 (*.f64 2 x))
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 (.f64 x x))))) -1)
(cbrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 (.f64 x x))))) 1)
(cbrt.f64 (.f64 2 (.f64 x x)))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 (.f64 x x))))) (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 (.f64 x x)))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 (*.f64 x x))))) 1))
(cbrt.f64 (.f64 2 (.f64 x x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 (.f64 x x))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 (.f64 x x))))) (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 (.f64 x x)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 (.f64 x x))))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 (.f64 x x))))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) (log1p.f64 (cbrt.f64 (.f64 2 (.f64 x x)))))) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 (.f64 x x))))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 (.f64 x x))))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 (.f64 x x))))) (exp.f64 (.f64 2 (log1p.f64 (cbrt.f64 (.f64 2 (*.f64 x x)))))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (cbrt.f64 (.f64 2 (.f64 x x)))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 (.f64 x x))))) (pow.f64 (exp.f64 2) (log1p.f64 (cbrt.f64 (.f64 2 (*.f64 x x))))))))
(pow.f64 (cbrt.f64 (.f64 2 (.f64 x x))) 1)
(cbrt.f64 (.f64 2 (.f64 x x)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
(pow.f64 (*.f64 (sqrt.f64 2) x) 2/3)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/6) 4)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 3)
(cbrt.f64 (.f64 2 (.f64 x x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))) 6)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) 1/2)
(sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))))
(pow.f64 (.f64 2 (.f64 x x)) 1/3)
(cbrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))))
(fabs.f64 (cbrt.f64 (.f64 2 (.f64 x x))))
(cbrt.f64 (.f64 2 (.f64 x x)))
(log.f64 (exp.f64 (cbrt.f64 (.f64 2 (.f64 x x)))))
(cbrt.f64 (.f64 2 (.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 2 (.f64 x x))))))
(cbrt.f64 (.f64 2 (.f64 x x)))
(cbrt.f64 (.f64 2 (.f64 x x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (.f64 2 (.f64 x x)))))
(cbrt.f64 (.f64 2 (.f64 x x)))
(exp.f64 (log.f64 (cbrt.f64 (.f64 2 (.f64 x x)))))
(cbrt.f64 (.f64 2 (.f64 x x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (.f64 2 (.f64 x x)))))
(cbrt.f64 (.f64 2 (.f64 x x)))

eval171.0ms (5.1%)

Compiler: Compiled 5337 to 4120 computations (22.8% saved)

prune97.0ms (2.9%)

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	372	3	375
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	372	12	384

Error

0.1b

Counts

384 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.4b	(pow.f64 (sqrt.f64 (.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 x))) 3)
✓	30.9b	(pow.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 3)
✓	1.4b	(pow.f64 (fabs.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))) 3)
	1.8b	(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 2)) 3) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3/2))
	1.4b	(*.f64 (pow.f64 (pow.f64 2 1/3) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3/2))
✓	1.5b	(*.f64 (pow.f64 (cbrt.f64 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3/2))
	15.1b	(.f64 (pow.f64 (cbrt.f64 2) 3/2) (pow.f64 (sqrt.f64 (.f64 (cbrt.f64 x) x)) 3/2))
✓	30.6b	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
✓	31.2b	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
✓	32.5b	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	30.5b	(*.f64 (sqrt.f64 2) x)
✓	30.4b	(sqrt.f64 (.f64 (.f64 2 x) x))

Compiler

Compiled 119 to 102 computations (14.3% saved)

regimes27.0ms (0.8%)

Counts

15 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) (neg.f64 x))
(sqrt.f64 (.f64 (.f64 2 x) x))
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
(pow.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 3)
(.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (cbrt.f64 (.f64 2 (*.f64 x x)))))
(pow.f64 (fabs.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))) 3)
(pow.f64 (sqrt.f64 (.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 x))) 3)
(*.f64 (pow.f64 (cbrt.f64 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3/2))
(.f64 (pow.f64 (cbrt.f64 2) 3/2) (pow.f64 (sqrt.f64 (.f64 (cbrt.f64 x) x)) 3/2))
(*.f64 (pow.f64 (pow.f64 2 1/3) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 2)) 3) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3/2))

Outputs
(pow.f64 (sqrt.f64 (.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 x))) 3)

Calls

3 calls:

11.0ms	x
6.0ms	(.f64 (.f64 2 x) x)
5.0ms	(sqrt.f64 (.f64 (.f64 2 x) x))

Results

Error	Segments	Branch
1.4b	1	`x`
1.4b	1	`(sqrt.f64 (.f64 (.f64 2 x) x))`
1.4b	1	`(.f64 (.f64 2 x) x)`

Compiler

Compiled 151 to 117 computations (22.5% saved)

regimes22.0ms (0.7%)

Accuracy

Total -62.9b remaining (-15181.3%)

Threshold costs -62.9b (-15181.3%)

Counts

10 → 2

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) (neg.f64 x))
(sqrt.f64 (.f64 (.f64 2 x) x))
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
(pow.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 3)
(.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (cbrt.f64 (.f64 2 (*.f64 x x)))))
(pow.f64 (fabs.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))) 3)

Outputs
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 (sqrt.f64 2) x)

Calls

3 calls:

11.0ms	x
4.0ms	(.f64 (.f64 2 x) x)
4.0ms	(sqrt.f64 (.f64 (.f64 2 x) x))

Results

Error	Segments	Branch
0.4b	2	`x`
1.4b	1	`(sqrt.f64 (.f64 (.f64 2 x) x))`
1.4b	1	`(.f64 (.f64 2 x) x)`

Compiler

Compiled 92 to 69 computations (25% saved)

bsearch25.0ms (0.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	-8.56267561588965e-302	3.778475582450934e-308

Results

23.0ms

144×

body

256

valid

Compiler

Compiled 128 to 107 computations (16.4% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
6×	`neg-mul-1`
6×	`+-commutative`
6×	`neg-sub0`
4×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	77
1	31	77
2	38	77
3	43	77
4	46	77
5	47	77

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) x))

(*.f64 (sqrt.f64 2) x)

Outputs
(pow.f64 (sqrt.f64 (.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 x))) 3)
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))

Compiler

Compiled 30 to 24 computations (20% saved)

soundness99.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1274×	`associate-r`
1020×	`associate-l`
906×	`*-commutative`
682×	`log-prod`
570×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	538
1	145	526
2	645	518
3	3236	478
4	7263	478

Stop Event

1×	node limit

Compiler

Compiled 17 to 14 computations (17.6% saved)

end25.0ms (0.8%)

Compiler: Compiled 28 to 22 computations (21.4% saved)

Details

analyze3.0ms (0.1%)

sample816.0ms (24.6%)

preprocess4.0ms (0.1%)

simplify13.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite68.0ms (2.1%)

simplify62.0ms (1.9%)

eval7.0ms (0.2%)

prune8.0ms (0.2%)

localize5.0ms (0.2%)

series0.0ms (0%)

rewrite52.0ms (1.6%)

simplify64.0ms (1.9%)

localize6.0ms (0.2%)

series0.0ms (0%)

rewrite53.0ms (1.6%)

simplify65.0ms (2%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite64.0ms (1.9%)

simplify65.0ms (2%)

localize11.0ms (0.3%)

series4.0ms (0.1%)

rewrite59.0ms (1.8%)

simplify66.0ms (2%)

localize13.0ms (0.4%)

series3.0ms (0.1%)

rewrite53.0ms (1.6%)

simplify62.0ms (1.9%)

eval90.0ms (2.7%)

prune21.0ms (0.6%)

localize46.0ms (1.4%)

series32.0ms (1%)

rewrite55.0ms (1.7%)

simplify46.0ms (1.4%)

localize12.0ms (0.4%)

series46.0ms (1.4%)

rewrite75.0ms (2.3%)

simplify77.0ms (2.3%)

eval50.0ms (1.5%)

prune22.0ms (0.7%)

localize41.0ms (1.2%)

series20.0ms (0.6%)

rewrite70.0ms (2.1%)

simplify88.0ms (2.7%)

localize15.0ms (0.5%)

series2.0ms (0.1%)

rewrite62.0ms (1.9%)

simplify76.0ms (2.3%)

localize16.0ms (0.5%)

series5.0ms (0.1%)

rewrite98.0ms (2.9%)

simplify132.0ms (4%)

eval171.0ms (5.1%)

prune97.0ms (2.9%)

regimes27.0ms (0.8%)

regimes22.0ms (0.7%)

bsearch25.0ms (0.7%)

simplify6.0ms (0.2%)

soundness99.0ms (3%)

end25.0ms (0.8%)

Profiling