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)

sample810.0ms (18.9%)

Results

798.0ms	8256×	body	256	valid
0.0ms	3×	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)

simplify11.0ms (0.3%)

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

43.02%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	43.02%	(sqrt.f64 (.f64 (.f64 2 x) x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize39.0ms (0.9%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	41.4%	(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
1.0ms	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))

rewrite49.0ms (1.2%)

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)))))))

simplify56.0ms (1.3%)

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

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)

eval6.0ms (0.1%)

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

prune10.0ms (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

0.22%

Counts

33 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	55.16%	(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
▶	43.67%	(pow.f64 (cbrt.f64 (.f64 2 (.f64 x x))) 3/2)
▶	54.97%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
▶	44.6%	(*.f64 (sqrt.f64 2) (neg.f64 x))
▶	53.73%	(*.f64 (sqrt.f64 2) x)
▶	43.66%	(.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (cbrt.f64 (.f64 2 (*.f64 x x)))))
✓	43.02%	(sqrt.f64 (.f64 (.f64 2 x) x))

Compiler

Compiled 109 to 83 computations (23.9% saved)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.18%	(sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x))))
✓	0.55%	(.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (cbrt.f64 (.f64 2 (*.f64 x x)))))
✓	42.8%	(cbrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 38 to 20 computations (47.4% saved)

series72.0ms (1.7%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
55.0ms	x	@	0	(.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (cbrt.f64 (.f64 2 (*.f64 x x)))))
14.0ms	x	@	0	(sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x))))
1.0ms	x	@	0	(cbrt.f64 (.f64 2 (.f64 x x)))
1.0ms	x	@	inf	(cbrt.f64 (.f64 2 (.f64 x x)))
1.0ms	x	@	inf	(.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (cbrt.f64 (.f64 2 (*.f64 x x)))))

rewrite61.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1616×	`add-sqr-sqrt`
1592×	`*-un-lft-identity`
1484×	`add-cube-cbrt`
1472×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	81
1	195	43
2	2208	43

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

Inputs
(cbrt.f64 (.f64 2 (.f64 x x)))
(.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (cbrt.f64 (.f64 2 (*.f64 x x)))))
(sqrt.f64 (cbrt.f64 (.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 (cbrt.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 (.f64 x (sqrt.f64 2))) (cbrt.f64 (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 pow.f64 (.f64 2 (.f64 x x)) 1/2)))) (#(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 (cbrt.f64 (.f64 x (sqrt.f64 2))) 3)))) (#(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 (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 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 (.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 (cbrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) (cbrt.f64 (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 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 (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 (sqrt.f64 (cbrt.f64 2)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(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 (cbrt.f64 (sqrt.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)))))))))

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 (cbrt.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 (*.f64 x (sqrt.f64 2))) (cbrt.f64 (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 pow.f64 (*.f64 2 (*.f64 x x)) 1/2)))) (#(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 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)))) (#(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 (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 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 (*.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 (cbrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))) (cbrt.f64 (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 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 (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 (sqrt.f64 (cbrt.f64 2)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(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 (cbrt.f64 (sqrt.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)))))))))

simplify83.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1380×	`fma-def`
924×	`associate--r+`
730×	`*-commutative`
516×	`+-commutative`
480×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	1597
1	277	1557
2	963	1545
3	3346	1545
4	6917	1545

Stop Event

1×	node limit

Counts

83 → 87

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.6%	(*.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)

rewrite45.0ms (1.1%)

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)))))))

simplify62.0ms (1.5%)

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 (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.6%	(*.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))

rewrite58.0ms (1.3%)

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)))))))

simplify77.0ms (1.8%)

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
✓	0.28%	(.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	@	0	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
0.0ms	x	@	inf	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))

rewrite61.0ms (1.4%)

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)))))))

simplify69.0ms (1.6%)

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)

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.56%	(pow.f64 (cbrt.f64 (.f64 2 (.f64 x x))) 3/2)
	42.8%	(cbrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 26 to 14 computations (46.2% saved)

series2.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

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

rewrite56.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1672×	`add-sqr-sqrt`
1638×	`*-un-lft-identity`
1540×	`add-cube-cbrt`
1528×	`add-cbrt-cube`
184×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	203	11
2	2327	11

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

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

simplify78.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

744×	`*-commutative`
596×	`associate-+r-`
592×	`associate-+l-`
552×	`+-commutative`
536×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	322
1	119	322
2	323	322
3	1530	322
4	4516	322
5	7422	322

Stop Event

1×	node limit

Counts

22 → 25

Calls

Call 1

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

Outputs
(-.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 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 (cbrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (.f64 2 (.f64 x x))))
(*.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 2) x)
(*.f64 x (sqrt.f64 2))
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 x))
(.f64 (pow.f64 1 3/2) (.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) 3/2) (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 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 (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 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))) 3/2))
(.f64 (pow.f64 (cbrt.f64 2) 3/2) (pow.f64 (cbrt.f64 (.f64 x x)) 3/2))
(sqrt.f64 (.f64 2 (.f64 x x)))
(*.f64 x (sqrt.f64 2))
(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 (.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))

eval63.0ms (1.5%)

Compiler: Compiled 2942 to 2131 computations (27.6% saved)

prune39.0ms (0.9%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	229	4	233
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	229	11	240

Error

0.12%

Counts

240 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.99%	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 2) 3/2)
▶	2.28%	(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 2)) 3/2)
▶	55.4%	(pow.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))) 3/2)
▶	2.02%	(pow.f64 (.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 x)) 3/2)
▶	55.16%	(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
✓	43.67%	(pow.f64 (cbrt.f64 (.f64 2 (.f64 x x))) 3/2)
✓	54.97%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
✓	44.6%	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	53.73%	(*.f64 (sqrt.f64 2) x)
✓	43.66%	(.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (cbrt.f64 (.f64 2 (*.f64 x x)))))
✓	43.02%	(sqrt.f64 (.f64 (.f64 2 x) x))

Compiler

Compiled 156 to 129 computations (17.3% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.56%	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 2) 3/2)
✓	0.6%	(*.f64 x (sqrt.f64 2))
✓	0.82%	(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 2)
✓	0.87%	(cbrt.f64 (*.f64 x (sqrt.f64 2)))

Compiler

Compiled 31 to 26 computations (16.1% saved)

series7.0ms (0.2%)

Counts

4 → 12

Calls

12 calls:

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

rewrite69.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1692×	`add-sqr-sqrt`
1652×	`*-un-lft-identity`
1558×	`add-cube-cbrt`
1540×	`add-cbrt-cube`
202×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	58
1	227	54
2	2515	54

Stop Event

1×	node limit

Counts

4 → 94

Calls

Call 1

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

Outputs
((#(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 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) 4))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x))))))))) (#(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 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 (cbrt.f64 (.f64 2 (.f64 x x))) 1/2)))) (#(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 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 (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 (cbrt.f64 (.f64 2 (.f64 x x))) 1)))) (#(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))) (pow.f64 (.f64 x (sqrt.f64 2)) 1/6))))) (#(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 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) 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 (pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) 4)) (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (.f64 x (sqrt.f64 2)))))))) (#(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 (.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 (.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) 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 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 (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 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 (cbrt.f64 (.f64 2 (.f64 x x))) 3/2)))) (#(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 (pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) 4) 3/4)))) (#(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 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 x (sqrt.f64 2)))) 3))))) (#(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 (.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 (cbrt.f64 (.f64 2 (.f64 x x))) (cbrt.f64 (.f64 x (sqrt.f64 2))))))) (#(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 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 (pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) 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 (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 (.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))) (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 (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 1 3/2) (.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) 4)) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 3/2))))) (#(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 (sqrt.f64 2)) x))))) (#(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 x (sqrt.f64 2)))) 3))))) (#(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))))))))

simplify90.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1682×	`fma-def`
692×	`*-commutative`
586×	`+-commutative`
578×	`distribute-lft-in`
562×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	1994
1	330	1966
2	1355	1966
3	4017	1946
4	7644	1946

Stop Event

1×	node limit

Counts

106 → 104

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

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

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.09%	(sqrt.f64 (*.f64 (sqrt.f64 2) x))
✓	0.38%	(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
	0.6%	(*.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)
0.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
0.0ms	x	@	-inf	(sqrt.f64 (*.f64 (sqrt.f64 2) x))
0.0ms	x	@	0	(sqrt.f64 (*.f64 (sqrt.f64 2) x))

rewrite58.0ms (1.4%)

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))))))))

simplify71.0ms (1.6%)

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))

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.49%	(.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 x))
✓	0.56%	(pow.f64 (.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 x)) 3/2)
✓	0.93%	(cbrt.f64 (*.f64 2 x))
✓	0.96%	(cbrt.f64 x)

Compiler

Compiled 29 to 19 computations (34.5% saved)

series5.0ms (0.1%)

Counts

4 → 0

Calls

12 calls:

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

rewrite67.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1892×	`add-sqr-sqrt`
1858×	`*-un-lft-identity`
1750×	`add-cube-cbrt`
1726×	`add-cbrt-cube`
202×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	223	50
2	2575	50

Stop Event

1×	node limit

Counts

4 → 79

Calls

Call 1

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

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

simplify63.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1640×	`associate-+r+`
1452×	`associate-r`
1420×	`distribute-rgt-in`
1388×	`distribute-lft-in`
1218×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	1185
1	287	1137
2	934	1117
3	4273	1117

Stop Event

1×	node limit

Counts

79 → 88

Calls

Call 1

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

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

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.56%	(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 2)) 3/2)
✓	0.83%	(pow.f64 (cbrt.f64 x) 2)
	0.96%	(cbrt.f64 x)
✓	1.56%	(cbrt.f64 2)

Compiler

Compiled 28 to 20 computations (28.6% saved)

series3.0ms (0.1%)

Counts

3 → 0

Calls

6 calls:

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

rewrite60.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1806×	`add-sqr-sqrt`
1772×	`*-un-lft-identity`
1662×	`add-cube-cbrt`
1642×	`add-cbrt-cube`
200×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	223	27
2	2514	27

Stop Event

1×	node limit

Counts

3 → 55

Calls

Call 1

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

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

simplify66.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1310×	`unswap-sqr`
1066×	`associate-/l*`
956×	`*-commutative`
698×	`associate-/r*`
642×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	717
1	227	717
2	589	713
3	2099	711
4	6388	711

Stop Event

1×	node limit

Counts

55 → 62

Calls

Call 1

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

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

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.23%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))
✓	0.26%	(pow.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))) 3/2)
✓	0.4%	(cbrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))
	0.6%	(*.f64 x (sqrt.f64 2))

Compiler

Compiled 47 to 39 computations (17% saved)

series20.0ms (0.5%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	x	@	0	(cbrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))
5.0ms	x	@	inf	(cbrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))
2.0ms	x	@	-inf	(cbrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))
1.0ms	x	@	-inf	(pow.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))) 3/2)
1.0ms	x	@	0	(pow.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))) 3/2)

rewrite68.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1896×	`add-sqr-sqrt`
1858×	`*-un-lft-identity`
1748×	`add-cube-cbrt`
1730×	`add-cbrt-cube`
220×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	103
1	242	45
2	2819	45

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify66.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1492×	`associate-r`
1294×	`associate-l`
930×	`associate-+r+`
816×	`associate-+l+`
462×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	4294969068
1	382	1856
2	994	1796
3	4414	1796

Stop Event

1×	node limit

Counts

84 → 100

Calls

Call 1

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

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

eval139.0ms (3.2%)

Compiler: Compiled 6189 to 4946 computations (20.1% saved)

prune82.0ms (1.9%)

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	487	8	495
Fresh	0	0	0
Picked	1	0	1
Done	1	9	10
Total	489	17	506

Error

0.04%

Counts

506 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.15%	(pow.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 x)) 2) 3/2)
✓	1.99%	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 2) 3/2)
	2.21%	(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 2 1/3)) 3/2)
✓	2.28%	(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 2)) 3/2)
▶	1.73%	(pow.f64 (.f64 (.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 2))) 3/2)
	3.06%	(pow.f64 (.f64 (cbrt.f64 (.f64 2 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) 3/2)
✓	2.02%	(pow.f64 (.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 x)) 3/2)
✓	55.16%	(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
▶	43.38%	(pow.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x)))) 2)
✓	43.67%	(pow.f64 (cbrt.f64 (.f64 2 (.f64 x x))) 3/2)
▶	53.78%	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
▶	55.32%	(.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))))
✓	54.97%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
✓	44.6%	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	53.73%	(*.f64 (sqrt.f64 2) x)
✓	43.02%	(sqrt.f64 (.f64 (.f64 2 x) x))
	59.56%	(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 3))

Compiler

Compiled 271 to 230 computations (15.1% saved)

localize29.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.56%	(pow.f64 (.f64 (.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 2))) 3/2)
	0.6%	(*.f64 x (sqrt.f64 2))
	0.87%	(cbrt.f64 (*.f64 x (sqrt.f64 2)))
	0.96%	(cbrt.f64 x)

Compiler

Compiled 54 to 41 computations (24.1% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

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

0.0ms

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

0.0ms

inf

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

rewrite69.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1116×	`unswap-sqr`
1074×	`*-commutative`
966×	`sqrt-prod`
688×	`swap-sqr`
470×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	41
1	280	11
2	3237	11

Stop Event

1×	node limit

Counts

1 → 85

Calls

Call 1

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

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

simplify75.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1278×	`associate-*r/`
1080×	`distribute-lft-in`
1068×	`distribute-rgt-in`
952×	`*-commutative`
940×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	3871
1	537	2837
2	1540	2791
3	3160	2791

Stop Event

1×	node limit

Counts

85 → 134

Calls

Call 1

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

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

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.29%	(*.f64 (pow.f64 2 1/4) x)
✓	0.45%	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))

Compiler

Compiled 21 to 18 computations (14.3% saved)

series26.0ms (0.6%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	x	@	0	(*.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))
0.0ms	x	@	-inf	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))

rewrite55.0ms (1.3%)

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)))))))

simplify53.0ms (1.2%)

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 (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.22%	(sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x))))
✓	0.78%	(pow.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x)))) 2)
✓	41.4%	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 33 to 18 computations (45.5% saved)

series2.0ms (0%)

Counts

3 → 12

Calls

9 calls:

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

rewrite62.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1506×	`add-sqr-sqrt`
1488×	`*-un-lft-identity`
1378×	`add-cube-cbrt`
1368×	`add-cbrt-cube`
1356×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	201	37
2	2073	37

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

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

simplify94.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1322×	`distribute-lft-in`
1224×	`distribute-rgt-in`
1190×	`fma-def`
604×	`*-commutative`
510×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	1651
1	242	1519
2	994	1387
3	2688	1387
4	7745	1387

Stop Event

1×	node limit

Counts

93 → 65

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

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

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.43%	(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 x))
✓	0.56%	(pow.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 x)) 2) 3/2)
✓	0.82%	(pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 x)) 2)
	0.96%	(cbrt.f64 x)

Compiler

Compiled 35 to 27 computations (22.9% saved)

series2.0ms (0.1%)

Counts

3 → 0

Calls

9 calls:

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

rewrite67.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1956×	`add-sqr-sqrt`
1916×	`*-un-lft-identity`
1806×	`add-cube-cbrt`
1786×	`add-cbrt-cube`
218×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	247	47
2	2768	47

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

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

Outputs

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

simplify62.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1230×	`associate-+r+`
1182×	`associate-+l+`
1016×	`fma-def`
720×	`*-commutative`
570×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	1758
1	319	1674
2	1368	1670
3	3589	1670

Stop Event

1×	node limit

Counts

72 → 91

Calls

Call 1

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

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

localize26.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.29%	(.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))))
✓	0.4%	(cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)))
	0.6%	(*.f64 (sqrt.f64 2) x)
✓	0.87%	(cbrt.f64 (*.f64 (sqrt.f64 2) x))

Compiler

Compiled 54 to 44 computations (18.5% saved)

series6.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(.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))))
2.0ms	x	@	0	(.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))))
0.0ms	x	@	inf	(.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))))
0.0ms	x	@	-inf	(cbrt.f64 (*.f64 (sqrt.f64 2) x))
0.0ms	x	@	0	(cbrt.f64 (*.f64 (sqrt.f64 2) x))

rewrite67.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1836×	`add-sqr-sqrt`
1810×	`*-un-lft-identity`
1688×	`add-cube-cbrt`
1662×	`add-cbrt-cube`
216×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	93
1	232	43
2	2731	43

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

Inputs

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

(cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 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))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 (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 1 (cbrt.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 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 1/6) (*.f64 (pow.f64 (sqrt.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 (pow.f64 (*.f64 (sqrt.f64 2) x) 5/6)) (cbrt.f64 (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))) (*.f64 (cbrt.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 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 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 1/6)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 5/6)))))) (#(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 (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 pow.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 (sqrt.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) 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 log.f64 (+.f64 1 (expm1.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 (*.f64 (sqrt.f64 2) x)) 1/3))))) (#(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 log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))))))))

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

((#(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 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)))) (#(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 (*.f64 2 (*.f64 x x)) 1/2)))) (#(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 (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 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)))))))

simplify66.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

590×	`*-commutative`
542×	`distribute-lft-in`
536×	`distribute-rgt-in`
508×	`+-commutative`
498×	`sqr-pow`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	1941
1	355	1933
2	1195	1827
3	3922	1781

Stop Event

1×	node limit

Counts

93 → 88

Calls

Call 1

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

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

eval195.0ms (4.6%)

Compiler: Compiled 8724 to 7246 computations (16.9% saved)

prune94.0ms (2.2%)

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	541	5	546
Fresh	1	2	3
Picked	1	0	1
Done	4	9	13
Total	547	16	563

Error

0.02%

Counts

563 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	43.36%	(pow.f64 (pow.f64 (.f64 2 (.f64 x x)) 1/4) 2)
✓	1.99%	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 2) 3/2)
	2.21%	(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 2 1/3)) 3/2)
	1.73%	(pow.f64 (.f64 (pow.f64 2 1/6) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (sqrt.f64 2) x)))) 3/2)
	3.06%	(pow.f64 (.f64 (cbrt.f64 (.f64 2 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) 3/2)
✓	2.02%	(pow.f64 (.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 x)) 3/2)
	45.81%	(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (neg.f64 x))) 2)
✓	55.16%	(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
	68.7%	(pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) 3/4)
✓	43.67%	(pow.f64 (cbrt.f64 (.f64 2 (.f64 x x))) 3/2)
✓	53.78%	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
	55.02%	(.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (.f64 x (pow.f64 2 1/4)))) (sqrt.f64 (.f64 x (pow.f64 2 1/4))))
✓	54.97%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
✓	44.6%	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	53.73%	(*.f64 (sqrt.f64 2) x)
✓	43.02%	(sqrt.f64 (.f64 (.f64 2 x) x))

Compiler

Compiled 157 to 133 computations (15.3% saved)

regimes38.0ms (0.9%)

Counts

24 → 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))
(pow.f64 (cbrt.f64 (.f64 2 (.f64 x x))) 3/2)
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(pow.f64 (pow.f64 (.f64 2 (.f64 x x)) 1/4) 2)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) 3/4)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (neg.f64 x))) 2)
(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 3))
(pow.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x)))) 2)
(pow.f64 (.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 x)) 3/2)
(.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (cbrt.f64 (.f64 2 (*.f64 x x)))))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 2)) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 2) 3/2)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 2 1/3)) 3/2)
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 x)) 2) 3/2)
(pow.f64 (.f64 (cbrt.f64 (.f64 2 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) 3/2)
(pow.f64 (.f64 (pow.f64 2 1/6) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (sqrt.f64 2) x)))) 3/2)
(.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (.f64 x (pow.f64 2 1/4)))) (sqrt.f64 (.f64 x (pow.f64 2 1/4))))
(pow.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))) 3/2)
(pow.f64 (.f64 (.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 2))) 3/2)
(.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))))

Outputs
(pow.f64 (.f64 (pow.f64 2 1/6) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (sqrt.f64 2) x)))) 3/2)

Calls

3 calls:

14.0ms	x
10.0ms	(.f64 (.f64 2 x) x)
7.0ms	(sqrt.f64 (.f64 (.f64 2 x) x))

Results

Error	Segments	Branch
1.73%	1	`x`
1.73%	1	`(sqrt.f64 (.f64 (.f64 2 x) x))`
1.73%	1	`(.f64 (.f64 2 x) x)`

Compiler

Compiled 254 to 197 computations (22.4% saved)

regimes28.0ms (0.7%)

Counts

19 → 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))
(pow.f64 (cbrt.f64 (.f64 2 (.f64 x x))) 3/2)
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(pow.f64 (pow.f64 (.f64 2 (.f64 x x)) 1/4) 2)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) 3/4)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (neg.f64 x))) 2)
(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 3))
(pow.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x)))) 2)
(pow.f64 (.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 x)) 3/2)
(.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (cbrt.f64 (.f64 2 (*.f64 x x)))))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 2)) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 2) 3/2)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 2 1/3)) 3/2)
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 x)) 2) 3/2)
(pow.f64 (.f64 (cbrt.f64 (.f64 2 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) 3/2)

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

Calls

3 calls:

9.0ms	x
8.0ms	(sqrt.f64 (.f64 (.f64 2 x) x))
6.0ms	(.f64 (.f64 2 x) x)

Results

Error	Segments	Branch
1.99%	1	`x`
1.99%	1	`(sqrt.f64 (.f64 (.f64 2 x) x))`
1.99%	1	`(.f64 (.f64 2 x) x)`

Compiler

Compiled 178 to 134 computations (24.7% saved)

regimes24.0ms (0.5%)

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

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

Calls

3 calls:

7.0ms	x
7.0ms	(.f64 (.f64 2 x) x)
5.0ms	(sqrt.f64 (.f64 (.f64 2 x) x))

Results

Error	Segments	Branch
2.02%	1	`x`
2.02%	1	`(sqrt.f64 (.f64 (.f64 2 x) x))`
2.02%	1	`(.f64 (.f64 2 x) x)`

Compiler

Compiled 137 to 101 computations (26.3% saved)

regimes46.0ms (1.1%)

Accuracy

Total -63.6b remaining (-16618.4%)

Threshold costs -63.6b (-16618.4%)

Counts

12 → 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))
(pow.f64 (cbrt.f64 (.f64 2 (.f64 x x))) 3/2)
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(pow.f64 (pow.f64 (.f64 2 (.f64 x x)) 1/4) 2)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) 3/4)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (neg.f64 x))) 2)
(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 3))
(pow.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x)))) 2)

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

Calls

3 calls:

16.0ms	(sqrt.f64 (.f64 (.f64 2 x) x))
14.0ms	(.f64 (.f64 2 x) x)
13.0ms	x

Results

Error	Segments	Branch
0.6%	2	`x`
19.89%	3	`(sqrt.f64 (.f64 (.f64 2 x) x))`
19.89%	3	`(.f64 (.f64 2 x) x)`

Compiler

Compiled 105 to 79 computations (24.8% saved)

bsearch15.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-8.199019468713034e-305	7.916263485388928e-300

Results

13.0ms

160×

body

256

valid

Compiler

Compiled 141 to 118 computations (16.3% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	143
1	42	143
2	49	143
3	54	143
4	57	143
5	58	143

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(pow.f64 (.f64 (pow.f64 2 1/6) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (sqrt.f64 2) x)))) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 2) 3/2)
(pow.f64 (.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 x)) 3/2)
(if (<=.f64 x -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)

Outputs
(pow.f64 (.f64 (pow.f64 2 1/6) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (sqrt.f64 2) x)))) 3/2)
(pow.f64 (.f64 (pow.f64 2 1/6) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x (sqrt.f64 2))))) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 2) 3/2)
(pow.f64 (.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 x)) 3/2)
(pow.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (.f64 2 x))) 3/2)
(if (<=.f64 x -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x))
(if (<=.f64 x -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 x (sqrt.f64 2)))
(if (<=.f64 x -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 x (neg.f64 (sqrt.f64 2))) (.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))

Compiler

Compiled 54 to 45 computations (16.7% saved)

soundness105.0ms (2.4%)

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)

end41.0ms (1%)

Compiler: Compiled 50 to 40 computations (20% saved)