Details

analyze5.0ms (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 7 computations (12.5% saved)

sample1.4s (21.3%)

Results

1.4s	8256×	body	256	valid
0.0ms	3×	body	256	infinite

Bogosity

preprocess253.0ms (3.8%)

Algorithm

2×	egg-herbie

Rules

2858×	`sqr-pow`
1496×	`pow-sqr`
1054×	`cube-prod`
914×	`fabs-mul`
794×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	14	17
2	31	17
3	51	17
4	103	17
5	260	17
6	947	17
7	1549	17
8	1664	17
9	1834	17
10	2038	17
11	2314	17
12	2666	17
13	3094	17
14	3590	17
15	4182	17
16	4899	17
17	5153	17
18	5407	17
19	5545	17
20	5591	17
21	5615	17
22	6544	17
23	7672	17
24	7990	17
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify247.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

2858×	`sqr-pow`
1496×	`pow-sqr`
1054×	`cube-prod`
914×	`fabs-mul`
794×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	14	17
2	31	17
3	51	17
4	103	17
5	260	17
6	947	17
7	1549	17
8	1664	17
9	1834	17
10	2038	17
11	2314	17
12	2666	17
13	3094	17
14	3590	17
15	4182	17
16	4899	17
17	5153	17
18	5407	17
19	5545	17
20	5591	17
21	5615	17
22	6544	17
23	7672	17
24	7990	17

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

43.02%

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 8 computations (52.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite70.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1372×	`add-sqr-sqrt`
1354×	`*-un-lft-identity`
1256×	`add-cube-cbrt`
1246×	`add-cbrt-cube`
1234×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	159	11
2	1829	11

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

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

Outputs

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

simplify68.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1246×	`associate-r`
1002×	`associate-l`
866×	`distribute-lft-in`
848×	`*-commutative`
848×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	504
1	142	504
2	607	504
3	3124	504
4	7462	504

Stop Event

1×	node limit

Counts

36 → 29

Calls

Call 1

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

eval5.0ms (0.1%)

Compiler: Compiled 228 to 177 computations (22.4% saved)

prune8.0ms (0.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	23	6	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	7	30

Error

0.22%

Counts

30 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	55.16%	(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)
▶	54.4%	(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
▶	54.97%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
	68.73%	(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4))) (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))))
▶	44.6%	(*.f64 (sqrt.f64 2) (neg.f64 x))
▶	53.73%	(*.f64 (sqrt.f64 2) x)
✓	43.02%	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 109 to 89 computations (18.3% saved)

localize19.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.6%	(*.f64 (sqrt.f64 2) (neg.f64 x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

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))

rewrite58.0ms (0.9%)

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)))))))

simplify70.0ms (1%)

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
✓	0.6%	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 9 to 7 computations (22.2% saved)

series0.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite45.0ms (0.7%)

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%)

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 (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.28%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite78.0ms (1.2%)

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)))))))

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

25 → 18

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.6%	(*.f64 x (sqrt.f64 2))
✓	0.87%	(cbrt.f64 (*.f64 x (sqrt.f64 2)))
✓	1.16%	(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)

Compiler

Compiled 22 to 18 computations (18.2% saved)

series4.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

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

rewrite85.0ms (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	37
1	204	37
2	2046	37

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

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

Outputs

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

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

simplify73.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1540×	`fma-def`
848×	`distribute-rgt-out`
746×	`sqr-pow`
688×	`associate-/l*`
688×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	1522
1	267	1394
2	1141	1298
3	2453	1294
4	5253	1294

Stop Event

1×	node limit

Counts

80 → 72

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

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.09%	(sqrt.f64 (*.f64 x (sqrt.f64 2)))
✓	0.38%	(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)
	0.6%	(*.f64 x (sqrt.f64 2))

Compiler

Compiled 21 to 17 computations (19% saved)

series3.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

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

rewrite55.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Rules

984×	`distribute-lft-in`
958×	`associate-+r+`
950×	`distribute-rgt-in`
852×	`associate-+l+`
778×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	1308
1	219	1074
2	861	840
3	2539	838
4	7469	838

Stop Event

1×	node limit

Counts

50 → 64

Calls

Call 1

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

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

eval57.0ms (0.9%)

Compiler: Compiled 1808 to 1455 computations (19.5% saved)

prune46.0ms (0.7%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	190	3	193
Fresh	0	1	1
Picked	0	1	1
Done	1	4	5
Total	191	9	200

Error

0.16%

Counts

200 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	55.16%	(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)
▶	43.76%	(pow.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 3)
▶	53.78%	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
▶	55.32%	(.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (.f64 x (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))
✓	54.97%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
▶	68.73%	(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4))) (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))))
✓	44.6%	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	53.73%	(*.f64 (sqrt.f64 2) x)
✓	43.02%	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 89 to 73 computations (18% saved)

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.55%	(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4))) (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))))
✓	23.01%	(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4)))
✓	42.8%	(cbrt.f64 (.f64 2 (.f64 x x)))
✓	43.75%	(cbrt.f64 (*.f64 (pow.f64 x 4) 4))

Compiler

Compiled 61 to 41 computations (32.8% saved)

series117.0ms (1.8%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
57.0ms	x	@	0	(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4))) (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))))
54.0ms	x	@	0	(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4)))
2.0ms	x	@	-inf	(cbrt.f64 (.f64 2 (.f64 x x)))
1.0ms	x	@	0	(cbrt.f64 (*.f64 (pow.f64 x 4) 4))
0.0ms	x	@	inf	(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4))) (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))))

rewrite128.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`*-commutative`
874×	`sqrt-prod`
712×	`unswap-sqr`
620×	`swap-sqr`
454×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	94
1	296	62
2	3419	62

Stop Event

1×	node limit

Counts

4 → 199

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 (pow.f64 x 4) 4))
(cbrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4))) (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))))

Outputs
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1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16))) 1/2)) (fabs.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x 2))) (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))))) (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x 2))) (cbrt.f64 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 (.f64 x (.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16)) 1/6) (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16)) 1/6))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2))))) (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2))))) (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 4 (pow.f64 x 4)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 x 2))) 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 (.f64 x (sqrt.f64 2)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) 4)))) (#(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 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (.f64 x (.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (cbrt.f64 (.f64 x (.f64 x 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 log1p.f64 (expm1.f64 (cbrt.f64 (.f64 x (*.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 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2)))) (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2)))) (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 x 2))) 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 pow.f64 (.f64 x (.f64 x 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 x (.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.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 log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 2))))))))

simplify165.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1276×	`associate-+r+`
1156×	`unswap-sqr`
1122×	`associate-+l+`
446×	`fma-def`
440×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	281	6263
1	625	6075
2	2014	5835
3	6159	5835

Stop Event

1×	node limit

Counts

211 → 196

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4))) x)
(.f64 (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4))) x)
(.f64 (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4))) x)
(.f64 (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4))) x)
(.f64 (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4))) x)
(.f64 (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4))) x)
(.f64 (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4))) x)
(.f64 (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4))) x)
(.f64 -1 (.f64 (sqrt.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4))) x))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4))) x))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4))) x))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4))) x))
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))))) -1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))))) 1)
(.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4))) 1)
(.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(.f64 (cbrt.f64 (.f64 x (.f64 x 2))) (cbrt.f64 (.f64 x (*.f64 x 2))))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (*.f64 x (sqrt.f64 2)))
(.f64 (.f64 x (sqrt.f64 2)) (cbrt.f64 (*.f64 x (sqrt.f64 2))))
(.f64 1 (cbrt.f64 (.f64 4 (pow.f64 x 4))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))) (.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 (.f64 x 2))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 4) (cbrt.f64 4))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16))) (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))))
(*.f64 (cbrt.f64 4) (pow.f64 (cbrt.f64 x) 4))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 16))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))) (.f64 (cbrt.f64 (.f64 x (.f64 x 2))) (cbrt.f64 (cbrt.f64 (.f64 x (*.f64 x 2))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))) (.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16)) 1/6) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 16)) 1/6)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))) (sqrt.f64 (.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 (.f64 x (.f64 x 2))) (cbrt.f64 2)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) (cbrt.f64 4))))
(.f64 (.f64 (cbrt.f64 (.f64 x 2)) (cbrt.f64 (.f64 x 2))) (pow.f64 (cbrt.f64 x) 2))
(.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x 2))) (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4))))) (cbrt.f64 (cbrt.f64 (.f64 x (*.f64 x 2)))))
(.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x 2))) (cbrt.f64 2)) (pow.f64 (cbrt.f64 x) 2))
(.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x 2))) (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 (.f64 x 2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 2))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (*.f64 4 (pow.f64 x 4))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16)) 1/6) (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16)) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))))
(.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 (*.f64 4 (pow.f64 x 4))))
(.f64 (.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (cbrt.f64 (*.f64 4 (pow.f64 x 4))))
(.f64 (.f64 (.f64 (pow.f64 (.f64 x 2) 1/6) (pow.f64 (.f64 x 2) 1/6)) (.f64 (pow.f64 (.f64 x 2) 1/6) (pow.f64 (.f64 x 2) 1/6))) (pow.f64 (cbrt.f64 x) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))) 3/2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16)) 1/4) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 16)) 1/4))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 4))) (cbrt.f64 2))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16))))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4))))) (exp.f64 (log1p.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4))))) (exp.f64 (log1p.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4))))) 1))))
(pow.f64 (*.f64 4 (pow.f64 x 4)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 4)
(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))) 6)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))) 3)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 16)) 1/2)
(pow.f64 (.f64 x (.f64 x 2)) 2/3)
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 16)))
(fabs.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))))
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2))))) -1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2))))) 1)
(.f64 (cbrt.f64 (.f64 x (*.f64 x 2))) 1)
(.f64 (cbrt.f64 (.f64 x (*.f64 x 2))) (pow.f64 1 1/2))
(.f64 (cbrt.f64 (.f64 x (.f64 x 2))) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (*.f64 x (sqrt.f64 2))))
(.f64 1 (cbrt.f64 (.f64 x (*.f64 x 2))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))) (sqrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) (sqrt.f64 (*.f64 x (sqrt.f64 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))) (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))) (fabs.f64 (.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))) (sqrt.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x 2))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))))
(*.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 x) 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 2))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x 2)))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 (.f64 x 2) 1/6) (pow.f64 (.f64 x 2) 1/6)))
(.f64 (sqrt.f64 (cbrt.f64 2)) (sqrt.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x 2))) (pow.f64 (cbrt.f64 x) 2))))
(.f64 (cbrt.f64 (.f64 x 2)) (cbrt.f64 x))
(.f64 (.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (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 x (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))
(.f64 (pow.f64 1 1/2) (cbrt.f64 (.f64 x (*.f64 x 2))))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (.f64 x (.f64 x 2))))
(.f64 (.f64 (pow.f64 (.f64 x 2) 1/6) (pow.f64 (.f64 x 2) 1/6)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 4) 1/2) (pow.f64 (cbrt.f64 4) 1/2))
(*.f64 (pow.f64 (cbrt.f64 4) 1/2) (pow.f64 (pow.f64 (cbrt.f64 x) 4) 1/2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16))) 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))) 1/2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))) 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 16))) 1/2))
(.f64 (.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (cbrt.f64 (.f64 x (.f64 x 2))))
(.f64 (pow.f64 (.f64 4 (pow.f64 x 4)) 1/12) (pow.f64 (*.f64 4 (pow.f64 x 4)) 1/12))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (*.f64 x 2)))) 3/2))
(.f64 (fabs.f64 (pow.f64 1 1/2)) (cbrt.f64 (.f64 x (*.f64 x 2))))
(.f64 (fabs.f64 (.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))) (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 x 2))) (cbrt.f64 x))
(.f64 (fabs.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 (.f64 x (.f64 x 2))))
(.f64 (fabs.f64 (.f64 (pow.f64 (.f64 x 2) 1/6) (pow.f64 (.f64 x 2) 1/6))) (cbrt.f64 x))
(*.f64 (fabs.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 4) 1/2)) (fabs.f64 (pow.f64 (cbrt.f64 4) 1/2)))
(.f64 (fabs.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16))) 1/2)) (fabs.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))) 1/2)))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x 2))) (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))))) (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x 2))) (cbrt.f64 2))) (cbrt.f64 x))
(.f64 (sqrt.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 (.f64 x (.f64 x 2))))
(.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16)) 1/6) (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16)) 1/6))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2))))) (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (*.f64 x 2))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2))))) (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2))))) 1))))
(pow.f64 (*.f64 4 (pow.f64 x 4)) 1/6)
(pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) 1/2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 2)
(pow.f64 (*.f64 x (sqrt.f64 2)) 2/3)
(pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))) 4)
(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))) 3)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))) 6)
(pow.f64 (.f64 x (.f64 x 2)) 1/3)
(sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))))
(fabs.f64 (cbrt.f64 (.f64 x (.f64 x 2))))
(fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))))
(fabs.f64 (neg.f64 (cbrt.f64 (.f64 x (.f64 x 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))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))
(exp.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2))))) -1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2))))) 1)
(.f64 (cbrt.f64 (.f64 x (*.f64 x 2))) 1)
(.f64 (cbrt.f64 (.f64 x (*.f64 x 2))) (pow.f64 1 1/2))
(.f64 (cbrt.f64 (.f64 x (.f64 x 2))) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (*.f64 x (sqrt.f64 2))))
(.f64 1 (cbrt.f64 (.f64 x (*.f64 x 2))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))) (sqrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) (sqrt.f64 (*.f64 x (sqrt.f64 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))) (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))) (fabs.f64 (.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))) (sqrt.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x 2))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))))
(*.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 x) 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 2))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x 2)))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 (.f64 x 2) 1/6) (pow.f64 (.f64 x 2) 1/6)))
(.f64 (sqrt.f64 (cbrt.f64 2)) (sqrt.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x 2))) (pow.f64 (cbrt.f64 x) 2))))
(.f64 (cbrt.f64 (.f64 x 2)) (cbrt.f64 x))
(.f64 (.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (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 x (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))
(.f64 (pow.f64 1 1/2) (cbrt.f64 (.f64 x (*.f64 x 2))))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (.f64 x (.f64 x 2))))
(.f64 (.f64 (pow.f64 (.f64 x 2) 1/6) (pow.f64 (.f64 x 2) 1/6)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 4) 1/2) (pow.f64 (cbrt.f64 4) 1/2))
(*.f64 (pow.f64 (cbrt.f64 4) 1/2) (pow.f64 (pow.f64 (cbrt.f64 x) 4) 1/2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16))) 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))) 1/2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))) 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 16))) 1/2))
(.f64 (.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (cbrt.f64 (.f64 x (.f64 x 2))))
(.f64 (pow.f64 (.f64 4 (pow.f64 x 4)) 1/12) (pow.f64 (*.f64 4 (pow.f64 x 4)) 1/12))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (*.f64 x 2)))) 3/2))
(.f64 (fabs.f64 (pow.f64 1 1/2)) (cbrt.f64 (.f64 x (*.f64 x 2))))
(.f64 (fabs.f64 (.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))) (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 x 2))) (cbrt.f64 x))
(.f64 (fabs.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 (.f64 x (.f64 x 2))))
(.f64 (fabs.f64 (.f64 (pow.f64 (.f64 x 2) 1/6) (pow.f64 (.f64 x 2) 1/6))) (cbrt.f64 x))
(*.f64 (fabs.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 4) 1/2)) (fabs.f64 (pow.f64 (cbrt.f64 4) 1/2)))
(.f64 (fabs.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16))) 1/2)) (fabs.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))) 1/2)))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x 2))) (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))))) (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x 2))) (cbrt.f64 2))) (cbrt.f64 x))
(.f64 (sqrt.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 (.f64 x (.f64 x 2))))
(.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16)) 1/6) (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16)) 1/6))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2))))) (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (*.f64 x 2))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2))))) (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2))))) 1))))
(pow.f64 (*.f64 4 (pow.f64 x 4)) 1/6)
(pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) 1/2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 2)
(pow.f64 (*.f64 x (sqrt.f64 2)) 2/3)
(pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))) 4)
(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))) 3)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))) 6)
(pow.f64 (.f64 x (.f64 x 2)) 1/3)
(fabs.f64 (cbrt.f64 (.f64 x (.f64 x 2))))
(fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))))
(fabs.f64 (neg.f64 (cbrt.f64 (.f64 x (.f64 x 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)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 2)))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 2)))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2)))) (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2)))) (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2)))) 1))))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 2))) 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)
(pow.f64 (.f64 x (.f64 x 2)) 1/2)
(sqrt.f64 (.f64 x (.f64 x 2)))
(fabs.f64 (*.f64 x (sqrt.f64 2)))
(fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 2))))))
(fabs.f64 (neg.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))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 2))))

Outputs
(.f64 (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4))) x)
(.f64 (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4))) x)
(.f64 (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4))) x)
(.f64 (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4))) x)
(.f64 (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4))) x)
(.f64 (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4))) x)
(.f64 (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4))) x)
(.f64 (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4))) x)
(.f64 -1 (.f64 (sqrt.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4))) x))
(neg.f64 (.f64 (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4))) x))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4))) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4))) x))
(neg.f64 (.f64 (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4))) x))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4))) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4))) x))
(neg.f64 (.f64 (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4))) x))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4))) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4))) x))
(neg.f64 (.f64 (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4))) x))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4))) (neg.f64 x))
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(.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 2 x))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) (.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)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) 4))
(.f64 (.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 2 x))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) (.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)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) 4))
(.f64 (pow.f64 1 1/2) (cbrt.f64 (.f64 x (*.f64 x 2))))
(cbrt.f64 (.f64 x (.f64 2 x)))
(cbrt.f64 (.f64 2 (.f64 x x)))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (.f64 x (.f64 x 2))))
(cbrt.f64 (.f64 x (.f64 2 x)))
(cbrt.f64 (.f64 2 (.f64 x x)))
(.f64 (.f64 (pow.f64 (.f64 x 2) 1/6) (pow.f64 (.f64 x 2) 1/6)) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 4) 1/2) (pow.f64 (cbrt.f64 4) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)) (sqrt.f64 (cbrt.f64 4)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 4)))
(*.f64 (pow.f64 (cbrt.f64 4) 1/2) (pow.f64 (pow.f64 (cbrt.f64 x) 4) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)) (sqrt.f64 (cbrt.f64 4)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16))) 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16)) 1/6) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))) 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 16))) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16)) 1/6) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))))))
(.f64 (.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (cbrt.f64 (.f64 x (.f64 x 2))))
(cbrt.f64 (.f64 x (.f64 2 x)))
(cbrt.f64 (.f64 2 (.f64 x x)))
(.f64 (pow.f64 (.f64 4 (pow.f64 x 4)) 1/12) (pow.f64 (*.f64 4 (pow.f64 x 4)) 1/12))
(pow.f64 (*.f64 4 (pow.f64 x 4)) 1/6)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (*.f64 x 2)))) 3/2))
(cbrt.f64 (.f64 x (.f64 2 x)))
(cbrt.f64 (.f64 2 (.f64 x x)))
(.f64 (fabs.f64 (pow.f64 1 1/2)) (cbrt.f64 (.f64 x (*.f64 x 2))))
(cbrt.f64 (.f64 x (.f64 2 x)))
(cbrt.f64 (.f64 2 (.f64 x x)))
(.f64 (fabs.f64 (.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (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)))) (fabs.f64 (.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 2 x)))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) (fabs.f64 (.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) 4) (fabs.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x))))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 x 2))) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 2 x)))
(.f64 (fabs.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 (.f64 x (.f64 x 2))))
(cbrt.f64 (.f64 x (.f64 2 x)))
(cbrt.f64 (.f64 2 (.f64 x x)))
(.f64 (fabs.f64 (.f64 (pow.f64 (.f64 x 2) 1/6) (pow.f64 (.f64 x 2) 1/6))) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 2 x)))
(*.f64 (fabs.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 4) 1/2)) (fabs.f64 (pow.f64 (cbrt.f64 4) 1/2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)) (sqrt.f64 (cbrt.f64 4)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 4)))
(.f64 (fabs.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16))) 1/2)) (fabs.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))) 1/2)))
(.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16)) 1/6) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))))))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x 2))) (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))))) (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) (sqrt.f64 (.f64 (cbrt.f64 (.f64 x (.f64 2 x))) (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) (sqrt.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))))))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x 2))) (cbrt.f64 2))) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 (.f64 x (.f64 2 x))))))
(.f64 (cbrt.f64 x) (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 (.f64 2 (.f64 x x))))))
(.f64 (sqrt.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 (.f64 x (.f64 x 2))))
(cbrt.f64 (.f64 x (.f64 2 x)))
(cbrt.f64 (.f64 2 (.f64 x x)))
(.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16)) 1/6) (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16)) 1/6))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 2 x)))) (fabs.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16)) 1/6)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 16)) 1/6))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2))))) (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (*.f64 x 2))))) 1))
(cbrt.f64 (.f64 x (.f64 2 x)))
(cbrt.f64 (.f64 2 (.f64 x x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2))))) (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2))))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 2 x))))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 2 x)))) (log1p.f64 (cbrt.f64 (.f64 x (.f64 2 x)))))) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 2 x))))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 (.f64 x x))))) 3)) (+.f64 (exp.f64 (.f64 2 (log1p.f64 (cbrt.f64 (.f64 2 (.f64 x x)))))) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 (*.f64 x x))))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (cbrt.f64 (.f64 2 (.f64 x x)))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 2 (.f64 x x))))) (pow.f64 (exp.f64 2) (log1p.f64 (cbrt.f64 (.f64 2 (*.f64 x x))))))))
(pow.f64 (*.f64 4 (pow.f64 x 4)) 1/6)
(pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) 1/2)
(pow.f64 (*.f64 4 (pow.f64 x 4)) 1/6)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 2))) 1)
(cbrt.f64 (.f64 x (.f64 2 x)))
(cbrt.f64 (.f64 2 (.f64 x x)))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 2)
(pow.f64 (*.f64 x (sqrt.f64 2)) 2/3)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 2)
(pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))) 4)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 2)))) 3)
(cbrt.f64 (.f64 x (.f64 2 x)))
(cbrt.f64 (.f64 2 (.f64 x x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))) 6)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 2)
(pow.f64 (.f64 x (.f64 x 2)) 1/3)
(cbrt.f64 (.f64 x (.f64 2 x)))
(cbrt.f64 (.f64 2 (.f64 x x)))
(fabs.f64 (cbrt.f64 (.f64 x (.f64 x 2))))
(cbrt.f64 (.f64 x (.f64 2 x)))
(cbrt.f64 (.f64 2 (.f64 x x)))
(fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))))
(cbrt.f64 (.f64 x (.f64 2 x)))
(cbrt.f64 (.f64 2 (.f64 x x)))
(fabs.f64 (neg.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))
(cbrt.f64 (.f64 x (.f64 2 x)))
(cbrt.f64 (.f64 2 (.f64 x x)))
(log.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))
(cbrt.f64 (.f64 x (.f64 2 x)))
(cbrt.f64 (.f64 2 (.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 x (.f64 x 2))))))
(cbrt.f64 (.f64 x (.f64 2 x)))
(cbrt.f64 (.f64 2 (.f64 x x)))
(cbrt.f64 (.f64 x (.f64 x 2)))
(cbrt.f64 (.f64 x (.f64 2 x)))
(cbrt.f64 (.f64 2 (.f64 x x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))
(cbrt.f64 (.f64 x (.f64 2 x)))
(cbrt.f64 (.f64 2 (.f64 x x)))
(exp.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))
(cbrt.f64 (.f64 x (.f64 2 x)))
(cbrt.f64 (.f64 2 (.f64 x x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (.f64 x (.f64 x 2)))))
(cbrt.f64 (.f64 x (.f64 2 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 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 2)))) 1)
(*.f64 x (sqrt.f64 2))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2)))) (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2)))) 1))
(*.f64 x (sqrt.f64 2))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2)))) (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2)))) 3) -1) (+.f64 (+.f64 (exp.f64 (+.f64 (log1p.f64 (.f64 x (sqrt.f64 2))) (log1p.f64 (.f64 x (sqrt.f64 2))))) 1) (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2)))) 3)) (+.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2)))) (+.f64 1 (exp.f64 (.f64 2 (log1p.f64 (.f64 x (sqrt.f64 2))))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (.f64 x (sqrt.f64 2))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 2)))) (pow.f64 (exp.f64 2) (log1p.f64 (.f64 x (sqrt.f64 2)))))))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 2))) 3/2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 2 x))) 3/2)
(pow.f64 (cbrt.f64 (.f64 2 (.f64 x x))) 3/2)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
(*.f64 x (sqrt.f64 2))
(pow.f64 (*.f64 x (sqrt.f64 2)) 1)
(*.f64 x (sqrt.f64 2))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)
(*.f64 x (sqrt.f64 2))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3) 1/3)
(*.f64 x (sqrt.f64 2))
(pow.f64 (.f64 x (.f64 x 2)) 1/2)
(sqrt.f64 (.f64 x (.f64 2 x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (.f64 x (.f64 x 2)))
(sqrt.f64 (.f64 x (.f64 2 x)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(fabs.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 2))))))
(*.f64 x (sqrt.f64 2))
(fabs.f64 (neg.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))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))

localize52.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 54 to 44 computations (18.5% saved)

series26.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	(cbrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))
8.0ms	x	@	inf	(cbrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))
3.0ms	x	@	-inf	(.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (.f64 x (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))
2.0ms	x	@	0	(.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (.f64 x (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))
2.0ms	x	@	-inf	(cbrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))

rewrite92.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	78
1	232	28
2	2732	28

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

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

simplify115.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1364×	`associate-+r-`
1016×	`associate-r`
1012×	`+-commutative`
896×	`associate-l`
718×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	1385
1	285	1377
2	740	1273
3	3566	1227
4	7417	1227

Stop Event

1×	node limit

Counts

65 → 61

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 18 computations (14.3% saved)

series31.0ms (0.5%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	x	@	0	(*.f64 (pow.f64 2 1/4) x)
0.0ms	x	@	-inf	(*.f64 (pow.f64 2 1/4) x)
0.0ms	x	@	inf	(*.f64 (pow.f64 2 1/4) x)
0.0ms	x	@	inf	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
0.0ms	x	@	-inf	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))

rewrite88.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify49.0ms (0.7%)

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 (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.18%	(sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x))))
✓	1.16%	(pow.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 3)
	42.8%	(cbrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 34 to 19 computations (44.1% saved)

series3.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite73.0ms (1.1%)

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)))))))))

simplify68.0ms (1%)

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)))

eval292.0ms (4.4%)

Compiler: Compiled 9201 to 7489 computations (18.6% saved)

prune128.0ms (1.9%)

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	499	6	505
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	499	15	514

Error

0.1%

Counts

514 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	3.88%	(pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))) 6)) 3)
▶	2.32%	(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 4)))) 3)
▶	2.43%	(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 2))) 3)
▶	2.14%	(pow.f64 (sqrt.f64 (.f64 (cbrt.f64 (.f64 x 2)) (cbrt.f64 x))) 3)
✓	55.16%	(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)
✓	43.76%	(pow.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 3)
▶	2.02%	(pow.f64 (fabs.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))) 3)
▶	43.67%	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 2))) 3/2)
✓	53.78%	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
✓	55.32%	(.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (.f64 x (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))
✓	54.97%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
✓	68.73%	(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4))) (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))))
✓	44.6%	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	53.73%	(*.f64 (sqrt.f64 2) x)
✓	43.02%	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 217 to 185 computations (14.7% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.6%	(*.f64 x (sqrt.f64 2))
	0.87%	(cbrt.f64 (*.f64 x (sqrt.f64 2)))
✓	1.16%	(pow.f64 (fabs.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))) 3)

Compiler

Compiled 29 to 24 computations (17.2% saved)

series31.0ms (0.5%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
30.0ms	x	@	0	(pow.f64 (fabs.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))) 3)
1.0ms	x	@	-inf	(pow.f64 (fabs.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))) 3)
1.0ms	x	@	inf	(pow.f64 (fabs.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))) 3)

rewrite57.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	224	11
2	2504	11

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

simplify76.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1442×	`associate-r`
1172×	`associate-l`
1134×	`distribute-rgt-in`
1118×	`distribute-lft-in`
440×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	1320
1	219	1176
2	629	880
3	3151	878
4	7371	878

Stop Event

1×	node limit

Counts

44 → 47

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

series3.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite66.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1718×	`add-sqr-sqrt`
1684×	`*-un-lft-identity`
1584×	`add-cube-cbrt`
1566×	`add-cbrt-cube`
184×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	203	28
2	2324	28

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify50.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1218×	`distribute-rgt-in`
1208×	`distribute-lft-in`
1070×	`associate-r`
1026×	`associate-+r+`
918×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	822
1	194	822
2	590	822
3	3027	814

Stop Event

1×	node limit

Counts

46 → 51

Calls

Call 1

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

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

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.49%	(.f64 (cbrt.f64 (.f64 x 2)) (cbrt.f64 x))
✓	0.93%	(cbrt.f64 (*.f64 x 2))
✓	0.96%	(cbrt.f64 x)
✓	1.16%	(pow.f64 (sqrt.f64 (.f64 (cbrt.f64 (.f64 x 2)) (cbrt.f64 x))) 3)

Compiler

Compiled 38 to 25 computations (34.2% saved)

series4.0ms (0.1%)

Counts

4 → 0

Calls

12 calls:

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

rewrite80.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

950×	`*-commutative`
910×	`cbrt-prod`
852×	`sqrt-prod`
774×	`unswap-sqr`
604×	`swap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	243	50
2	2678	44

Stop Event

1×	node limit

Counts

4 → 156

Calls

Call 1

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

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

simplify98.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1310×	`distribute-rgt-in`
1296×	`distribute-lft-in`
840×	`associate-r`
806×	`associate-l`
666×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	341	8589938570
1	770	3918
2	3564	3902

Stop Event

1×	node limit

Counts

156 → 219

Calls

Call 1

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

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

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.83%	(pow.f64 (cbrt.f64 x) 2)
	0.96%	(cbrt.f64 x)
✓	1.16%	(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 2))) 3)
✓	1.56%	(cbrt.f64 2)

Compiler

Compiled 37 to 27 computations (27% saved)

series3.0ms (0%)

Counts

3 → 0

Calls

6 calls:

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

rewrite86.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1894×	`add-sqr-sqrt`
1860×	`*-un-lft-identity`
1746×	`add-cube-cbrt`
1724×	`add-cbrt-cube`
206×	`add-exp-log`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	243	35
2	2642	33

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

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

simplify55.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1400×	`distribute-rgt-in`
1382×	`distribute-lft-in`
652×	`fma-def`
626×	`associate-+r+`
552×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	151	1535
1	296	1391
2	977	1391
3	2485	1391

Stop Event

1×	node limit

Counts

69 → 82

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

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

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.43%	(*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 4)))
	0.83%	(pow.f64 (cbrt.f64 x) 2)
	0.96%	(cbrt.f64 x)
✓	1.16%	(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 4)))) 3)

Compiler

Compiled 44 to 34 computations (22.7% saved)

series5.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 4)))) 3)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 4)))) 3)
1.0ms	x	@	-inf	(*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 4)))
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 4)))) 3)
0.0ms	x	@	0	(*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 4)))

rewrite121.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

914×	`*-commutative`
850×	`sqrt-prod`
726×	`unswap-sqr`
584×	`swap-sqr`
450×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	280	46
2	2983	28

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1270×	`associate-*r/`
1062×	`distribute-lft-in`
1012×	`distribute-rgt-in`
810×	`associate-*l/`
782×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	2220
1	348	2122
2	1154	2102
3	3144	2102

Stop Event

1×	node limit

Counts

68 → 96

Calls

Call 1

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

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

eval291.0ms (4.4%)

Compiler: Compiled 9436 to 7128 computations (24.5% saved)

prune153.0ms (2.3%)

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	626	7	633
Fresh	1	0	1
Picked	1	0	1
Done	3	10	13
Total	631	17	648

Error

0.05%

Counts

648 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	1.99%	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 2) 3/2)
	2.28%	(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 2)) 3/2)
	2.02%	(pow.f64 (.f64 (cbrt.f64 (.f64 x 2)) (cbrt.f64 x)) 3/2)
	3.88%	(pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))) 6)) 3)
✓	55.16%	(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)
	24.17%	(pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (.f64 (cbrt.f64 4) x) (cbrt.f64 x)))) 3)
✓	43.76%	(pow.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))) 3)
	2.17%	(pow.f64 (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 x))) 3)
✓	2.02%	(pow.f64 (fabs.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))) 3)
✓	43.67%	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 2))) 3/2)
✓	53.78%	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
✓	55.32%	(.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (.f64 x (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))
✓	54.97%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
✓	44.6%	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	53.73%	(*.f64 (sqrt.f64 2) x)
✓	43.02%	(sqrt.f64 (.f64 2 (.f64 x x)))
	59.56%	(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 2 (.f64 x x))) 3))

Compiler

Compiled 165 to 139 computations (15.8% saved)

regimes74.0ms (1.1%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

4 calls:

38.0ms	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
12.0ms	x
10.0ms	(pow.f64 x 2)
7.0ms	(*.f64 2 (pow.f64 x 2))

Results

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

Compiler

Compiled 238 to 189 computations (20.6% saved)

regimes60.0ms (0.9%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

36.0ms	(*.f64 2 (pow.f64 x 2))
9.0ms	x
5.0ms	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
5.0ms	(pow.f64 x 2)

Results

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

Compiler

Compiled 123 to 96 computations (22% saved)

regimes62.0ms (0.9%)

Accuracy

Total -63.0b remaining (-16454.3%)

Threshold costs -63b (-16454.3%)

Counts

11 → 2

Calls

Call 1

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

Calls

4 calls:

19.0ms	x
13.0ms	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
13.0ms	(pow.f64 x 2)
13.0ms	(*.f64 2 (pow.f64 x 2))

Results

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

Compiler

Compiled 97 to 75 computations (22.7% saved)

bsearch18.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	-8.199019468713034e-305	7.916263485388928e-300

Results

16.0ms

160×

body

256

valid

Compiler

Compiled 141 to 119 computations (15.6% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	100
1	34	100
2	41	100
3	46	100
4	49	100
5	50	100

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 39 to 32 computations (17.9% saved)

soundness666.0ms (10%)

Algorithm

3×	egg-herbie

Rules

2858×	`sqr-pow`
2858×	`sqr-pow`
1496×	`pow-sqr`
1496×	`pow-sqr`
1246×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	14	17
2	31	17
3	51	17
4	103	17
5	260	17
6	947	17
7	1549	17
8	1664	17
9	1834	17
10	2038	17
11	2314	17
12	2666	17
13	3094	17
14	3590	17
15	4182	17
16	4899	17
17	5153	17
18	5407	17
19	5545	17
20	5591	17
21	5615	17
22	6544	17
23	7672	17
24	7990	17
0	61	504
1	142	504
2	607	504
3	3124	504
4	7462	504
0	8	17
1	14	17
2	31	17
3	51	17
4	103	17
5	260	17
6	947	17
7	1549	17
8	1664	17
9	1834	17
10	2038	17
11	2314	17
12	2666	17
13	3094	17
14	3590	17
15	4182	17
16	4899	17
17	5153	17
18	5407	17
19	5545	17
20	5591	17
21	5615	17
22	6544	17
23	7672	17
24	7990	17

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 54 to 43 computations (20.4% saved)

end33.0ms (0.5%)

Compiler: Compiled 36 to 29 computations (19.4% saved)