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)

sample947.0ms (20.9%)

Results

909.0ms	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)

simplify13.0ms (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

33.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.1b	(sqrt.f64 (.f64 (.f64 2 x) x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	32.0b	(sqrt.f64 (.f64 (.f64 2 x) x))

Compiler

Compiled 17 to 11 computations (35.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite87.0ms (1.9%)

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)))))))

simplify60.0ms (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

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	25	7	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	8	33

Error

0.2b

Counts

33 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	35.3b	(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
▶	34.8b	(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)
▶	33.5b	(pow.f64 (cbrt.f64 (.f64 2 (.f64 x x))) 3/2)
▶	35.2b	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
▶	28.5b	(*.f64 (sqrt.f64 2) (neg.f64 x))
▶	34.4b	(*.f64 (sqrt.f64 2) x)
	33.5b	(.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (cbrt.f64 (.f64 2 (*.f64 x x)))))
✓	33.1b	(sqrt.f64 (.f64 (.f64 2 x) x))

Compiler

Compiled 125 to 97 computations (22.4% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (sqrt.f64 2) (neg.f64 x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

series1.0ms (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))

rewrite76.0ms (1.7%)

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)))))))

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)))))))

simplify67.0ms (1.5%)

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)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(*.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)

rewrite51.0ms (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)))))))

simplify63.0ms (1.4%)

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)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite87.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify66.0ms (1.5%)

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)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (.f64 x x))
✓	0.4b	(pow.f64 (cbrt.f64 (.f64 2 (.f64 x x))) 3/2)
✓	32.9b	(cbrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 26 to 14 computations (46.2% saved)

series5.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

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

rewrite61.0ms (1.4%)

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	53
1	203	41
2	2327	41

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

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

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

simplify74.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1578×	`fma-def`
1246×	`associate-*r/`
790×	`*-commutative`
544×	`+-commutative`
508×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	1248
1	250	1248
2	883	1248
3	2853	1240
4	6832	1240

Stop Event

1×	node limit

Counts

72 → 69

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.5b	(*.f64 (sqrt.f64 2) x)
✓	0.6b	(cbrt.f64 (*.f64 (sqrt.f64 2) x))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)

Compiler

Compiled 22 to 18 computations (18.2% saved)

series5.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

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

rewrite59.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify70.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

55 → 71

Calls

Call 1

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

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

eval51.0ms (1.1%)

Compiler: Compiled 1934 to 1528 computations (21% saved)

prune30.0ms (0.7%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	199	6	205
Fresh	1	1	2
Picked	1	0	1
Done	0	5	5
Total	201	12	213

Error

0.1b

Counts

213 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	1.4b	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 2) 3/2)
▶	1.5b	(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 2)) 3/2)
▶	1.3b	(pow.f64 (.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 x)) 3/2)
▶	33.5b	(pow.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 3)
✓	33.5b	(pow.f64 (cbrt.f64 (.f64 2 (.f64 x x))) 3/2)
	1.4b	(*.f64 (pow.f64 (cbrt.f64 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3/2))
▶	34.4b	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
✓	35.2b	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
✓	28.5b	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	34.4b	(*.f64 (sqrt.f64 2) x)
▶	33.5b	(.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (cbrt.f64 (.f64 2 (*.f64 x x)))))
✓	33.1b	(sqrt.f64 (.f64 (.f64 2 x) x))

Compiler

Compiled 189 to 155 computations (18% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 x))
✓	0.4b	(pow.f64 (.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 x)) 3/2)
✓	0.6b	(cbrt.f64 x)
✓	0.6b	(cbrt.f64 (*.f64 2 x))

Compiler

Compiled 29 to 19 computations (34.5% saved)

series6.0ms (0.1%)

Counts

4 → 0

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	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)
1.0ms	x	@	0	(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))

rewrite70.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1892×	`add-sqr-sqrt`
1858×	`*-un-lft-identity`
1748×	`add-cube-cbrt`
1728×	`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 (*.f64 2 x))
(cbrt.f64 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 (.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 2 x) 1/6) (pow.f64 (.f64 2 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 2 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 x))) 2) (cbrt.f64 (cbrt.f64 (.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.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 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 2 x)) 1/3) (pow.f64 (sqrt.f64 (.f64 2 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 2 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 2 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 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 (sqrt.f64 (.f64 2 (.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 2 (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 2 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x 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 (cbrt.f64 (.f64 2 (.f64 x x)))) (cbrt.f64 (.f64 2 (.f64 x 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) (sqrt.f64 (.f64 2 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 3/2) (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 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 (exp.f64 (sqrt.f64 (.f64 2 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 2 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (.f64 2 (.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 2 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 2 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 2 (*.f64 x x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 (.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 2 (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 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)))))))))

simplify70.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1632×	`associate-+l+`
1434×	`associate-r`
1426×	`distribute-rgt-in`
1382×	`distribute-lft-in`
1218×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	1185
1	287	1137
2	934	1117
3	4254	1117

Stop Event

1×	node limit

Counts

79 → 88

Calls

Call 1

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

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 18 computations (14.3% saved)

series32.0ms (0.7%)

Counts

2 → 12

Calls

6 calls:

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

rewrite56.0ms (1.2%)

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)))))))

simplify45.0ms (1%)

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))

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 2 (.f64 x x))
✓	0.1b	(sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x))))
✓	0.7b	(pow.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 3)
	32.9b	(cbrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 34 to 19 computations (44.1% saved)

series28.0ms (0.6%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	(pow.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 3)
5.0ms	x	@	inf	(pow.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 3)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 3)
0.0ms	x	@	inf	(sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x))))
0.0ms	x	@	0	(sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x))))

rewrite62.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	225	26
2	2501	26

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

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

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

simplify69.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

768×	`distribute-lft-in`
724×	`distribute-rgt-in`
710×	`*-commutative`
590×	`+-commutative`
452×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	1395
1	259	1395
2	960	1395
3	2267	1395
4	5619	1395

Stop Event

1×	node limit

Counts

57 → 78

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

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

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 2 (.f64 x x))
	0.1b	(sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x))))
✓	0.4b	(.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (cbrt.f64 (.f64 2 (*.f64 x x)))))
	32.9b	(cbrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 38 to 20 computations (47.4% saved)

series28.0ms (0.6%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

28.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite72.0ms (1.6%)

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	43
1	195	11
2	2208	11

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(.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 (*.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))))))))

simplify52.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

862×	`distribute-lft-in`
804×	`distribute-rgt-in`
794×	`*-commutative`
794×	`associate-r`
718×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	336
1	100	336
2	363	336
3	2458	336
4	6754	336

Stop Event

1×	node limit

Counts

28 → 20

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 (*.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))))

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 (*.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)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 2)) 3/2)
✓	0.5b	(pow.f64 (cbrt.f64 x) 2)
	0.6b	(cbrt.f64 x)
✓	1.0b	(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
2.0ms	x	@	-inf	(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)
0.0ms	x	@	inf	(pow.f64 (cbrt.f64 x) 2)
0.0ms	x	@	0	(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 2)) 3/2)

rewrite89.0ms (2%)

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))))))))

simplify71.0ms (1.6%)

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))

eval211.0ms (4.6%)

Compiler: Compiled 6004 to 4367 computations (27.3% saved)

prune119.0ms (2.6%)

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	460	10	470
Fresh	0	2	2
Picked	0	1	1
Done	2	7	9
Total	462	20	482

Error

0.0b

Counts

482 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.4b	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 2) 3/2)
	2.0b	(pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 x))) 3) (cbrt.f64 x)) 3/2)
▶	1.3b	(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 2 1/3)) 3/2)
✓	1.5b	(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 2)) 3/2)
	2.0b	(pow.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 x))) 2) (cbrt.f64 (cbrt.f64 (.f64 2 x)))) (cbrt.f64 x)) 3/2)
▶	1.5b	(pow.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 2)) (cbrt.f64 x)) 3/2)
	1.7b	(pow.f64 (.f64 (cbrt.f64 (.f64 2 x)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) 3/2)
✓	1.3b	(pow.f64 (.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 x)) 3/2)
	1.5b	(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 2))) 3)
	1.4b	(pow.f64 (sqrt.f64 (.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 x))) 3)
	1.4b	(pow.f64 (fabs.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))) 3)
✓	33.5b	(pow.f64 (cbrt.f64 (.f64 2 (.f64 x x))) 3/2)
▶	1.4b	(*.f64 (pow.f64 (cbrt.f64 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3/2))
✓	34.4b	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
✓	35.2b	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
✓	28.5b	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	34.4b	(*.f64 (sqrt.f64 2) x)
	34.0b	(.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (.f64 2 (*.f64 x x)))))))
✓	33.1b	(sqrt.f64 (.f64 (.f64 2 x) x))
▶	45.0b	(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 2 (.f64 x x))) 3))

Compiler

Compiled 367 to 303 computations (17.4% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 2 1/3))
✓	0.4b	(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 2 1/3)) 3/2)
	0.5b	(pow.f64 (cbrt.f64 x) 2)
	0.6b	(cbrt.f64 x)

Compiler

Compiled 32 to 24 computations (25% saved)

series3.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 2 1/3)) 3/2)
1.0ms	x	@	0	(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 2 1/3)) 3/2)
1.0ms	x	@	inf	(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 2 1/3)) 3/2)
0.0ms	x	@	-inf	(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 2 1/3))
0.0ms	x	@	0	(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 2 1/3))

rewrite63.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1962×	`add-sqr-sqrt`
1920×	`*-un-lft-identity`
1808×	`add-cube-cbrt`
1790×	`add-cbrt-cube`
222×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	253	28
2	2762	28

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

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

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 (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))))))))

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

simplify76.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

990×	`associate-+r-`
716×	`*-commutative`
598×	`distribute-lft-in`
556×	`distribute-rgt-in`
478×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	581
1	155	581
2	420	577
3	1583	569
4	4187	569
5	7080	569

Stop Event

1×	node limit

Counts

33 → 46

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

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 2 (.f64 x x))
✓	0.2b	(pow.f64 (sqrt.f64 (.f64 2 (.f64 x x))) 3)
✓	32.0b	(sqrt.f64 (.f64 2 (.f64 x x)))
✓	43.7b	(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 2 (.f64 x x))) 3))

Compiler

Compiled 35 to 20 computations (42.9% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite63.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1696×	`add-sqr-sqrt`
1662×	`*-un-lft-identity`
1564×	`add-cube-cbrt`
1550×	`add-cbrt-cube`
184×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	53
1	226	39
2	2367	39

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

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

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

simplify68.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1584×	`associate-+l+`
1048×	`unswap-sqr`
826×	`*-commutative`
506×	`distribute-lft-in`
482×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	2360
1	360	2360
2	1635	2336
3	5495	2336

Stop Event

1×	node limit

Counts

132 → 84

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

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

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 2) 3/2)
✓	0.5b	(*.f64 x (sqrt.f64 2))
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 2)
✓	0.6b	(cbrt.f64 (*.f64 x (sqrt.f64 2)))

Compiler

Compiled 31 to 26 computations (16.1% saved)

series4.0ms (0.1%)

Counts

4 → 12

Calls

12 calls:

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

rewrite67.0ms (1.5%)

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))))))))

simplify82.0ms (1.8%)

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)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 2)) (cbrt.f64 x))
✓	0.4b	(pow.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 2)) (cbrt.f64 x)) 3/2)
	0.6b	(cbrt.f64 x)
	1.0b	(cbrt.f64 2)

Compiler

Compiled 31 to 19 computations (38.7% saved)

series2.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite58.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1920×	`add-sqr-sqrt`
1886×	`*-un-lft-identity`
1770×	`add-cube-cbrt`
1746×	`add-cbrt-cube`
202×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	222	40
2	2533	34

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

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

Outputs

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

simplify69.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

890×	`*-commutative`
752×	`associate-*r/`
548×	`associate--r+`
430×	`distribute-lft-in`
428×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	691
1	133	691
2	383	683
3	1610	683
4	4097	683
5	6391	683

Stop Event

1×	node limit

Counts

33 → 34

Calls

Call 1

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

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (pow.f64 (cbrt.f64 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3/2))
	0.5b	(pow.f64 (cbrt.f64 x) 2)
	0.6b	(cbrt.f64 x)
	1.0b	(cbrt.f64 2)

Compiler

Compiled 33 to 25 computations (24.2% saved)

series6.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

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

2.0ms

-inf

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

0.0ms

inf

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

rewrite55.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	248	11
2	2858	11

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify53.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

952×	`distribute-lft-in`
892×	`distribute-rgt-in`
812×	`distribute-lft-out`
706×	`*-commutative`
666×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	297
1	94	297
2	284	297
3	2006	297
4	5580	297

Stop Event

1×	node limit

Counts

27 → 16

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

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

eval162.0ms (3.6%)

Compiler: Compiled 5781 to 4370 computations (24.4% saved)

prune103.0ms (2.3%)

Pruning

21 alts after pruning (9 fresh and 12 done)

	Pruned	Kept	Total
New	469	4	473
Fresh	2	5	7
Picked	0	1	1
Done	1	11	12
Total	472	21	493

Error

0.0b

Counts

493 → 21

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.4b	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 2) 3/2)
	2.0b	(pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 x))) 3) (cbrt.f64 x)) 3/2)
✓	1.3b	(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 2 1/3)) 3/2)
✓	1.5b	(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 2)) 3/2)
	2.0b	(pow.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 x))) 2) (cbrt.f64 (cbrt.f64 (.f64 2 x)))) (cbrt.f64 x)) 3/2)
✓	1.5b	(pow.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 2)) (cbrt.f64 x)) 3/2)
	15.9b	(pow.f64 (.f64 (sqrt.f64 (.f64 x (cbrt.f64 x))) (pow.f64 2 1/3)) 3/2)
	1.7b	(pow.f64 (.f64 (cbrt.f64 (.f64 2 x)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) 3/2)
✓	1.3b	(pow.f64 (.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 x)) 3/2)
	1.4b	(pow.f64 (sqrt.f64 (.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 x))) 3)
	1.4b	(pow.f64 (fabs.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))) 3)
✓	33.5b	(pow.f64 (cbrt.f64 (.f64 2 (.f64 x x))) 3/2)
✓	1.4b	(*.f64 (pow.f64 (cbrt.f64 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3/2))
	16.3b	(.f64 (pow.f64 (cbrt.f64 2) 3/2) (pow.f64 (sqrt.f64 (.f64 x (cbrt.f64 x))) 3/2))
✓	34.4b	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
✓	35.2b	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
✓	28.5b	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	34.4b	(*.f64 (sqrt.f64 2) x)
✓	33.1b	(sqrt.f64 (.f64 (.f64 2 x) x))
	45.0b	(cbrt.f64 (pow.f64 (.f64 2 (.f64 x x)) 3/2))
	52.3b	(cbrt.f64 (neg.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3)))

Compiler

Compiled 221 to 184 computations (16.7% saved)

regimes36.0ms (0.8%)

Counts

28 → 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))
(cbrt.f64 (pow.f64 (.f64 2 (.f64 x x)) 3/2))
(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 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
(cbrt.f64 (neg.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3)))
(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 2 (.f64 x x))) 3))
(pow.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 3)
(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 (fabs.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))) 3)
(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 (sqrt.f64 (.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 x))) 3)
(pow.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 2)) (cbrt.f64 x)) 3/2)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 2 1/3)) 3/2)
(pow.f64 (.f64 (sqrt.f64 (.f64 x (cbrt.f64 x))) (pow.f64 2 1/3)) 3/2)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 2))) 3)
(*.f64 (pow.f64 (cbrt.f64 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3/2))
(.f64 (pow.f64 (cbrt.f64 2) 3/2) (pow.f64 (sqrt.f64 (.f64 x (cbrt.f64 x))) 3/2))
(pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 x))) 3) (cbrt.f64 x)) 3/2)
(.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (.f64 2 (*.f64 x x)))))))
(pow.f64 (.f64 (cbrt.f64 (.f64 2 x)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) 3/2)
(pow.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 x))) 2) (cbrt.f64 (cbrt.f64 (.f64 2 x)))) (cbrt.f64 x)) 3/2)

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

Calls

3 calls:

14.0ms	x
8.0ms	(.f64 (.f64 2 x) x)
7.0ms	(sqrt.f64 (.f64 (.f64 2 x) x))

Results

Error	Segments	Branch
1.3b	1	`x`
1.3b	1	`(sqrt.f64 (.f64 (.f64 2 x) x))`
1.3b	1	`(.f64 (.f64 2 x) x)`

Compiler

Compiled 288 to 211 computations (26.7% saved)

regimes37.0ms (0.8%)

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

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

Calls

3 calls:

12.0ms	x
11.0ms	(sqrt.f64 (.f64 (.f64 2 x) x))
11.0ms	(.f64 (.f64 2 x) x)

Results

Error	Segments	Branch
0.4b	2	`x`
16.0b	3	`(sqrt.f64 (.f64 (.f64 2 x) x))`
16.0b	3	`(.f64 (.f64 2 x) x)`

Compiler

Compiled 103 to 77 computations (25.2% saved)

bsearch14.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
13.0ms	-2.631621208806894e-306	1.216397020088335e-305

Results

12.0ms

144×

body

256

valid

Compiler

Compiled 155 to 125 computations (19.4% saved)

regimes53.0ms (1.2%)

Accuracy

Total -62.0b remaining (-13692.6%)

Threshold costs -62.0b (-13692.6%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

39.0ms	(sqrt.f64 (.f64 (.f64 2 x) x))
6.0ms	(.f64 (.f64 2 x) x)
6.0ms	x

Results

Error	Segments	Branch
0.5b	2	`x`
16.0b	3	`(sqrt.f64 (.f64 (.f64 2 x) x))`
16.0b	3	`(.f64 (.f64 2 x) x)`

Compiler

Compiled 31 to 22 computations (29% saved)

bsearch15.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	-2.631621208806894e-306	1.216397020088335e-305

Results

12.0ms

144×

body

256

valid

Compiler

Compiled 128 to 107 computations (16.4% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	118
1	35	118
2	42	118
3	47	118
4	50	118
5	51	118

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(pow.f64 (.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 x)) 3/2)
(if (<=.f64 x -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x)))
(if (<=.f64 x -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)

Outputs
(pow.f64 (.f64 (cbrt.f64 (.f64 2 x)) (cbrt.f64 x)) 3/2)
(if (<=.f64 x -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x)))
(if (<=.f64 x -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 (sqrt.f64 2) x))
(if (<=.f64 x -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (.f64 (sqrt.f64 2) (neg.f64 x)) (.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))

Compiler

Compiled 46 to 36 computations (21.7% saved)

soundness218.0ms (4.8%)

Algorithm

2×	egg-herbie

Rules

1274×	`associate-r`
1274×	`associate-r`
1020×	`associate-l`
1020×	`associate-l`
906×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 213 to 142 computations (33.3% saved)

end34.0ms (0.7%)

Compiler: Compiled 43 to 32 computations (25.6% saved)