Details

analyze460.0ms (2.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
18.7%	68.7%	12.6%	5
21.9%	59.3%	18.8%	6
25%	50%	25.1%	7
26.5%	45.3%	28.2%	8
28.1%	35.9%	36%	9
28.9%	32.4%	38.7%	10
30.3%	26.5%	43.1%	11
30.7%	25%	44.3%	12

Compiler

Compiled 16 to 12 computations (25% saved)

sample8.9s (45%)

Results

2.5s	2861×	body	1024	valid
2.0s	1635×	body	1024	invalid
1.8s	1792×	body	2048	valid
716.0ms	971×	body	512	invalid
700.0ms	1255×	body	512	valid
585.0ms	2348×	body	256	valid
557.0ms	2387×	body	256	invalid
10.0ms	5×	body	2048	invalid

preprocess75.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

754×	`fma-def_binary64`
470×	`distribute-rgt-in_binary64`
438×	`distribute-lft-in_binary64`
424×	`fma-neg_binary64`
314×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	33	38
2	76	38
3	195	38
4	656	38
5	2206	38
6	6722	38
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (pow.f64 (+.f64 n 1) (/.f64 1 x)) (pow.f64 n (/.f64 1 x)))

Outputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (pow.f64 (+.f64 n 1) (/.f64 1 x)) (pow.f64 n (/.f64 1 x)))
(-.f64 (pow.f64 (+.f64 1 n) (/.f64 1 x)) (pow.f64 n (/.f64 1 x)))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

436×	`unswap-sqr_binary64`
377×	`fma-def_binary64`
270×	`*-commutative_binary64`
253×	`distribute-rgt-neg-in_binary64`
242×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	42	19
3	104	19
4	340	19
5	1111	19
6	3393	19
7	6496	19

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Outputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

eval1.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

32.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.7b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize16.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	1.5b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
	0.0b	(pow.f64 x (/.f64 1 n))
	0.0b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓	0.0b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓	0.0b	(pow.f64 x (/.f64 1 n))
✓	1.5b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

series83.0ms (0.4%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
24.0ms	x	@	0	(pow.f64 x (/.f64 1 n))
22.0ms	x	@	-inf	(pow.f64 x (/.f64 1 n))
22.0ms	x	@	inf	(pow.f64 x (/.f64 1 n))
3.0ms	x	@	0	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
2.0ms	x	@	inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`prod-diff_binary64`
465×	`log-prod_binary64`
316×	`pow-prod-down_binary64`
294×	`fma-def_binary64`
293×	`pow-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	207	32
2	2847	32

Stop Event

1×	node limit

Counts

3 → 157

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(pow.f64 x (/.f64 1 n))
(pow.f64 (+.f64 x 1) (/.f64 1 n))

Outputs
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Outputs

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simplify73.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

699×	`fma-def_binary64`
554×	`times-frac_binary64`
441×	`associate-/l*_binary64`
394×	`associate-+l+_binary64`
307×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	2445
1	520	2313
2	1779	2192

Stop Event

1×	node limit

Counts

229 → 231

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)))
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(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
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(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))
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(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n)))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
1
(+.f64 (/.f64 (log.f64 x) n) 1)
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
1
(+.f64 (/.f64 (log.f64 x) n) 1)
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
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1
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(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
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(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n))
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n))
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n))
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n))
1
(+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 1 (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))))))
1
(+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n))
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Outputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (-.f64 (+.f64 1 (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (exp.f64 (/.f64 (log.f64 x) n))))
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(-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n)))
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(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
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(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
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(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (*.f64 x x) (exp.f64 (/.f64 (log.f64 x) n)))))
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(fma.f64 -1 (/.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))) (+.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (.f64 x n)) (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)))))))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (.f64 x n)) (.f64 (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) x))) (.f64 (/.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (pow.f64 x 3)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))))
(+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (.f64 x n)) (-.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) (.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 -1/3 n) (/.f64 -1/6 (pow.f64 n 3)))) (pow.f64 x 3)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))))
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
1
(+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n))
(+.f64 1 (/.f64 (log1p.f64 x) n))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n)))
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (+.f64 1 (/.f64 (log1p.f64 x) n)))
(+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (log1p.f64 x) n)))
(+.f64 (/.f64 (log1p.f64 x) n) (fma.f64 (/.f64 1/2 n) (/.f64 (pow.f64 (log1p.f64 x) 2) n) 1))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 1 (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))))))
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (+.f64 1 (fma.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) (/.f64 (log1p.f64 x) n))))
(+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) (/.f64 (log1p.f64 x) n))))
(+.f64 (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)) (fma.f64 (/.f64 1/2 n) (/.f64 (pow.f64 (log1p.f64 x) 2) n) 1))
1
(+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n))
(+.f64 1 (/.f64 (log1p.f64 x) n))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n)))
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (+.f64 1 (/.f64 (log1p.f64 x) n)))
(+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (log1p.f64 x) n)))
(+.f64 (/.f64 (log1p.f64 x) n) (fma.f64 (/.f64 1/2 n) (/.f64 (pow.f64 (log1p.f64 x) 2) n) 1))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 1 (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))))))
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (+.f64 1 (fma.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) (/.f64 (log1p.f64 x) n))))
(+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) (/.f64 (log1p.f64 x) n))))
(+.f64 (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)) (fma.f64 (/.f64 1/2 n) (/.f64 (pow.f64 (log1p.f64 x) 2) n) 1))

eval814.0ms (4.1%)

Compiler: Compiled 7184 to 4366 computations (39.2% saved)

prune64.0ms (0.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	220	11	231
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	221	11	232

Error

0.6b

Counts

232 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	36.7b	(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
▶	15.5b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	28.6b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
▶	44.9b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
▶	32.7b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)))
▶	32.2b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	38.6b	(+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 11/24 n) n) (+.f64 (/.f64 1/24 (pow.f64 n 4)) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3))))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) x))))
	38.6b	(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/4 (/.f64 1 n)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 4)))))
	15.8b	(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
	51.7b	(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
▶	50.1b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)

Compiler

Compiled 702 to 498 computations (29.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.0b	(-.f64 (log1p.f64 x) (log.f64 x))
	0.1b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓	0.1b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓	2.0b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 20 to 6 computations (70% saved)

series71.0ms (0.4%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
53.0ms	n	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
14.0ms	n	@	inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
1.0ms	x	@	inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
1.0ms	n	@	-inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
1.0ms	x	@	0	(-.f64 (log1p.f64 x) (log.f64 x))

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`pow1_binary64`
884×	`add-log-exp_binary64`
884×	`expm1-log1p-u_binary64`
883×	`log1p-expm1-u_binary64`
864×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	154	19
2	2280	19

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

Inputs
(-.f64 (log1p.f64 x) (log.f64 x))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

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

Outputs

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

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

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

597×	`distribute-neg-frac_binary64`
461×	`fma-def_binary64`
442×	`associate-/r*_binary64`
376×	`distribute-rgt-neg-in_binary64`
335×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	604
1	174	594
2	459	590
3	1342	563
4	4877	553

Stop Event

1×	node limit

Counts

104 → 101

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 -1 (log.f64 x))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)

Outputs
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(+.f64 x (neg.f64 (log.f64 x)))
(-.f64 x (log.f64 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 -1 (log.f64 x))))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x))))
(-.f64 (fma.f64 -1/2 (*.f64 x x) x) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/2) x) (log.f64 x))
(-.f64 (*.f64 x (fma.f64 x -1/2 1)) (log.f64 x))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x)))))
(fma.f64 1/3 (pow.f64 x 3) (-.f64 (fma.f64 -1/2 (*.f64 x x) x) (log.f64 x)))
(-.f64 (fma.f64 1/3 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x)) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) x) (log.f64 x))
(fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) (-.f64 x (log.f64 x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x))
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x))))
(-.f64 (/.f64 1 x) (-.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (.f64 (/.f64 1 (.f64 x x)) (+.f64 -1/2 (/.f64 1/3 x))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) (/.f64 1/4 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 -1/2 (*.f64 x x)) (-.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/3 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 1 (.f64 x x)) (+.f64 -1/2 (/.f64 1/3 x))) (/.f64 1/4 (pow.f64 x 4))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x))
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x))))
(-.f64 (/.f64 1 x) (-.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (.f64 (/.f64 1 (.f64 x x)) (+.f64 -1/2 (/.f64 1/3 x))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) (/.f64 1/4 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 -1/2 (*.f64 x x)) (-.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/3 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 1 (.f64 x x)) (+.f64 -1/2 (/.f64 1/3 x))) (/.f64 1/4 (pow.f64 x 4))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (.f64 -1/2 (/.f64 (.f64 x x) n))))
(+.f64 (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 x (/.f64 n x))))
(fma.f64 -1/2 (/.f64 x (/.f64 n x)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 -1/2 (/.f64 x (/.f64 n x)) (/.f64 x n)) (/.f64 (log.f64 x) n))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (.f64 -1/2 (/.f64 (.f64 x x) n)))))
(+.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 n x))) (/.f64 (log.f64 x) n)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n)))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (fma.f64 -1/2 (/.f64 x (/.f64 n x)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))))
(+.f64 (/.f64 x n) (-.f64 (.f64 (/.f64 x n) (.f64 x (fma.f64 x 1/3 -1/2))) (/.f64 (log.f64 x) n)))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 x) n)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
(+.f64 (/.f64 1 (.f64 x n)) (/.f64 -1/2 (.f64 x (*.f64 x n))))
(.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n)))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 (pow.f64 x 3) n))) (/.f64 1/2 (.f64 (.f64 x x) n)))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (/.f64 1/2 (.f64 x (.f64 x n)))))
(+.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 (pow.f64 x 3) n))) (/.f64 -1/2 (.f64 x (.f64 x n))))
(+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 x (.f64 x n))) (-.f64 (/.f64 1/3 x) 1/2)))
(*.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 (pow.f64 x 3) n))) (/.f64 1/4 (.f64 (pow.f64 x 4) n))) (/.f64 1/2 (.f64 (*.f64 x x) n)))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 1/2 (.f64 x (.f64 x n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 (pow.f64 x 3) n))) (+.f64 (/.f64 -1/2 (.f64 x (.f64 x n))) (/.f64 (/.f64 -1/4 (pow.f64 x 4)) n)))
(+.f64 (.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n))) (.f64 (/.f64 1 (.f64 (pow.f64 x 3) n)) (-.f64 1/3 (/.f64 1/4 x))))
(+.f64 (.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n)) (.f64 (/.f64 (/.f64 -1 n) (pow.f64 x 3)) (+.f64 (/.f64 1/4 x) -1/3)))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 x) n)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
(+.f64 (/.f64 1 (.f64 x n)) (/.f64 -1/2 (.f64 x (*.f64 x n))))
(.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n)))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 (pow.f64 x 3) n))) (/.f64 1/2 (.f64 (.f64 x x) n)))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (/.f64 1/2 (.f64 x (.f64 x n)))))
(+.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 (pow.f64 x 3) n))) (/.f64 -1/2 (.f64 x (.f64 x n))))
(+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 x (.f64 x n))) (-.f64 (/.f64 1/3 x) 1/2)))
(*.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 (pow.f64 x 3) n))) (/.f64 1/4 (.f64 (pow.f64 x 4) n))) (/.f64 1/2 (.f64 (*.f64 x x) n)))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 1/2 (.f64 x (.f64 x n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 (pow.f64 x 3) n))) (+.f64 (/.f64 -1/2 (.f64 x (.f64 x n))) (/.f64 (/.f64 -1/4 (pow.f64 x 4)) n)))
(+.f64 (.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n))) (.f64 (/.f64 1 (.f64 (pow.f64 x 3) n)) (-.f64 1/3 (/.f64 1/4 x))))
(+.f64 (.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n)) (.f64 (/.f64 (/.f64 -1 n) (pow.f64 x 3)) (+.f64 (/.f64 1/4 x) -1/3)))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.6b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
	0.0b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
	0.0b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓	1.6b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)

Compiler

Compiled 27 to 19 computations (29.6% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
1.0ms	x	@	-inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
1.0ms	x	@	inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
0.0ms	n	@	inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
0.0ms	n	@	-inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`pow1_binary64`
857×	`add-log-exp_binary64`
856×	`log1p-expm1-u_binary64`
856×	`expm1-log1p-u_binary64`
838×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	182	8
2	2446	8

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)

Outputs

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

simplify46.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

556×	`associate-/l/_binary64`
505×	`distribute-rgt-in_binary64`
481×	`distribute-lft-in_binary64`
331×	`fma-def_binary64`
238×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	882
1	314	872
2	941	748
3	4262	732

Stop Event

1×	node limit

Counts

55 → 59

Calls

Call 1

Inputs
(/.f64 x n)
(+.f64 (/.f64 x n) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) (.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/4 (/.f64 1 n)))) (pow.f64 x 4)))))
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1)
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) 1)
(-.f64 (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))) 1)
(-.f64 (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))))) 1)
(-.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1)
(-.f64 (+.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))) 1)
(-.f64 (+.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))))) 1)
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1)
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1)
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1)
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1)
(/.f64 (log.f64 (+.f64 1 x)) n)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n))))
(/.f64 (log.f64 (+.f64 1 x)) n)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n))))

Outputs
(/.f64 x n)
(+.f64 (/.f64 x n) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))
(+.f64 (/.f64 x n) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
(fma.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x) (/.f64 x n))
(fma.f64 x (.f64 x (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n))) (/.f64 x n))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))
(fma.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (.f64 n n)))) (pow.f64 x 3) (+.f64 (/.f64 x n) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (.f64 x x))))
(fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n)))) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n)))
(fma.f64 x (.f64 x (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n))) (fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (pow.f64 x 3) (/.f64 x n)))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) (.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/4 (/.f64 1 n)))) (pow.f64 x 4)))))
(fma.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (.f64 n n)))) (pow.f64 x 3) (+.f64 (/.f64 x n) (fma.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (.f64 x x) (.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))) (pow.f64 x 4)))))
(+.f64 (fma.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x) (.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (/.f64 (/.f64 11/24 n) n) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))) (pow.f64 x 4))) (fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n)))) (pow.f64 x 3) (/.f64 x n)))
(fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n)))) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (fma.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (+.f64 (/.f64 (/.f64 11/24 n) n) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3))))) (pow.f64 x 4) (/.f64 x n))))
(fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n)))) (pow.f64 x 3) (fma.f64 x (.f64 x (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n))) (fma.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (+.f64 (/.f64 11/24 (.f64 n n)) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3))))) (pow.f64 x 4) (/.f64 x n))))
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1)
(expm1.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(expm1.f64 (/.f64 (log.f64 x) n))
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) 1)
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) (expm1.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))) 1)
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)))) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) (expm1.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))))
(+.f64 (.f64 (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) x)) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) (expm1.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))))
(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (expm1.f64 (/.f64 (log.f64 x) n))))
(+.f64 (+.f64 -1 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n))) (.f64 (+.f64 (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x)) 1) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))))) 1)
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)))) (-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (.f64 n n)))))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 x n))) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) 1))
(+.f64 (.f64 (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) x)) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n)))))) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 x n)) (expm1.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))))
(+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (expm1.f64 (/.f64 (log.f64 x) n))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) x))))
(+.f64 (expm1.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) x)))))
(-.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1)
(expm1.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(expm1.f64 (/.f64 (log.f64 x) n))
(-.f64 (+.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))) 1)
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) (expm1.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)))) 1)
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)))) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) (expm1.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))))
(+.f64 (.f64 (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) x)) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) (expm1.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))))
(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (expm1.f64 (/.f64 (log.f64 x) n))))
(+.f64 (+.f64 -1 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n))) (.f64 (+.f64 (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x)) 1) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))))) 1)
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)))) (-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (.f64 n n)))))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 x n))) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) 1))
(+.f64 (.f64 (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) x)) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n)))))) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 x n)) (expm1.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))))
(+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (expm1.f64 (/.f64 (log.f64 x) n))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) x))))
(+.f64 (expm1.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) x)))))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1)
(expm1.f64 (/.f64 (log1p.f64 x) n))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1)
(expm1.f64 (/.f64 (log1p.f64 x) n))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1)
(expm1.f64 (/.f64 (log1p.f64 x) n))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1)
(expm1.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log1p.f64 x) n)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n))
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (log1p.f64 x) n))
(.f64 (+.f64 (.f64 1/2 (/.f64 (log1p.f64 x) n)) 1) (/.f64 (log1p.f64 x) n))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n)))
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) (/.f64 (log1p.f64 x) n)))
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))
(fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (.f64 (+.f64 (.f64 1/2 (/.f64 (log1p.f64 x) n)) 1) (/.f64 (log1p.f64 x) n)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n))))
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) (/.f64 (log1p.f64 x) n))))
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (/.f64 (log1p.f64 x) n))))
(fma.f64 1/24 (pow.f64 (/.f64 (log1p.f64 x) n) 4) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (.f64 (+.f64 (.f64 1/2 (/.f64 (log1p.f64 x) n)) 1) (/.f64 (log1p.f64 x) n))))
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log1p.f64 x) n)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n))
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (log1p.f64 x) n))
(.f64 (+.f64 (.f64 1/2 (/.f64 (log1p.f64 x) n)) 1) (/.f64 (log1p.f64 x) n))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n)))
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) (/.f64 (log1p.f64 x) n)))
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))
(fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (.f64 (+.f64 (.f64 1/2 (/.f64 (log1p.f64 x) n)) 1) (/.f64 (log1p.f64 x) n)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n))))
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) (/.f64 (log1p.f64 x) n))))
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (/.f64 (log1p.f64 x) n))))
(fma.f64 1/24 (pow.f64 (/.f64 (log1p.f64 x) n) 4) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (.f64 (+.f64 (.f64 1/2 (/.f64 (log1p.f64 x) n)) 1) (/.f64 (log1p.f64 x) n))))

localize10.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	3.1b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
	0.3b	(/.f64 (log.f64 x) n)
	0.0b	(exp.f64 (/.f64 (log.f64 x) n))
✓	0.0b	(exp.f64 (/.f64 (log.f64 x) n))
✓	0.3b	(/.f64 (log.f64 x) n)
✓	3.1b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))

Compiler

Compiled 23 to 8 computations (65.2% saved)

series7.0ms (0%)

Counts

3 → 40

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
1.0ms	x	@	-inf	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
1.0ms	x	@	inf	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
0.0ms	n	@	inf	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
0.0ms	n	@	-inf	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))

rewrite80.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`pow1_binary64`
777×	`add-log-exp_binary64`
777×	`log1p-expm1-u_binary64`
777×	`expm1-log1p-u_binary64`
761×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	161	23
2	2056	23

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (log.f64 x) n)
(exp.f64 (/.f64 (log.f64 x) n))

Outputs

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

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

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

simplify62.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

912×	`fma-def_binary64`
673×	`associate-r_binary64`
671×	`associate-/r*_binary64`
620×	`associate-*l/_binary64`
588×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	700
1	140	690
2	374	572
3	1453	536

Stop Event

1×	node limit

Counts

122 → 106

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
1
(+.f64 (/.f64 (log.f64 x) n) 1)
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
1
(+.f64 (/.f64 (log.f64 x) n) 1)
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))

Outputs
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(fma.f64 -1 (/.f64 (log.f64 x) n) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))
(-.f64 (/.f64 -1/2 (/.f64 (*.f64 n n) (pow.f64 (log.f64 x) 2))) (/.f64 (log.f64 x) n))
(-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (/.f64 (log.f64 x) n))
(.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 (/.f64 (log.f64 x) n) -1/2) -1))
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(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(-.f64 (fma.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (/.f64 -1/2 (/.f64 (*.f64 n n) (pow.f64 (log.f64 x) 2)))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))) (/.f64 (log.f64 x) n))
(fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 (/.f64 (log.f64 x) n) -1/2) -1)))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (/.f64 -1/2 (/.f64 (*.f64 n n) (pow.f64 (log.f64 x) 2))))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))) (/.f64 (log.f64 x) n))
(fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 -1/24 (pow.f64 (/.f64 (log.f64 x) n) 4) (.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 (/.f64 (log.f64 x) n) -1/2) -1))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
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(fma.f64 -1 (/.f64 (log.f64 x) n) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))
(-.f64 (/.f64 -1/2 (/.f64 (*.f64 n n) (pow.f64 (log.f64 x) 2))) (/.f64 (log.f64 x) n))
(-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (/.f64 (log.f64 x) n))
(.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 (/.f64 (log.f64 x) n) -1/2) -1))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(-.f64 (fma.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (/.f64 -1/2 (/.f64 (*.f64 n n) (pow.f64 (log.f64 x) 2)))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))) (/.f64 (log.f64 x) n))
(fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 (/.f64 (log.f64 x) n) -1/2) -1)))
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(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (/.f64 -1/2 (/.f64 (*.f64 n n) (pow.f64 (log.f64 x) 2))))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))) (/.f64 (log.f64 x) n))
(fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 -1/24 (pow.f64 (/.f64 (log.f64 x) n) 4) (.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 (/.f64 (log.f64 x) n) -1/2) -1))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)
(/.f64 (log.f64 x) n)
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
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(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)
(/.f64 (log.f64 x) n)
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
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(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)
(/.f64 (log.f64 x) n)
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)
(/.f64 (log.f64 x) n)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)
(/.f64 (log.f64 x) n)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
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(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)
(/.f64 (log.f64 x) n)
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n))
(exp.f64 (/.f64 (log.f64 x) n))
1
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1
(+.f64 (/.f64 (log.f64 x) n) 1)
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(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) 1/6))))
(+.f64 1 (+.f64 (/.f64 (log.f64 x) n) (fma.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) 1/6 (/.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (.f64 n n)))))
(+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) 1/2 1) (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/6 (/.f64 (log.f64 x) n)))
(+.f64 1 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/6 (.f64 (/.f64 (log.f64 x) n) (+.f64 1 (/.f64 (log.f64 x) (.f64 2 n))))))

localize16.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	2.0b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	0.1b	(/.f64 (log1p.f64 x) n)
	0.0b	(exp.f64 (/.f64 (log1p.f64 x) n))
	0.0b	(pow.f64 x (/.f64 1 n))
	0.0b	(pow.f64 x (/.f64 1 n))
✓	0.0b	(exp.f64 (/.f64 (log1p.f64 x) n))
✓	0.1b	(/.f64 (log1p.f64 x) n)
✓	2.0b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 35 to 15 computations (57.1% saved)

series8.0ms (0%)

Counts

3 → 68

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
1.0ms	x	@	inf	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
1.0ms	x	@	0	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
1.0ms	n	@	inf	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
0.0ms	n	@	-inf	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))

rewrite89.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`log-prod_binary64`
444×	`prod-diff_binary64`
308×	`pow-prod-down_binary64`
274×	`pow2_binary64`
236×	`pow-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	212	31
2	2836	31

Stop Event

1×	node limit

Counts

3 → 216

Calls

Call 1

Inputs
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (log1p.f64 x) n)
(exp.f64 (/.f64 (log1p.f64 x) n))

Outputs

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expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) n)))))))

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

simplify72.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

756×	`fma-def_binary64`
596×	`times-frac_binary64`
481×	`associate-/l*_binary64`
374×	`associate-/r*_binary64`
298×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	2488
1	610	2336
2	2057	2214

Stop Event

1×	node limit

Counts

284 → 308

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))))
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(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
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(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n)))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))
(/.f64 x n)
(+.f64 (/.f64 x n) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
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(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
1
(+.f64 (/.f64 x n) 1)
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(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(+.f64 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
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(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
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1
(+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 1 (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))))))
1
(+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n))
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Outputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (-.f64 (+.f64 1 (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (exp.f64 (/.f64 (log.f64 x) n))))
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(-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n)))
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(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (*.f64 x x) (exp.f64 (/.f64 (log.f64 x) n)))))
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(fma.f64 -1 (/.f64 (-.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/3 n)) (/.f64 1/6 (pow.f64 n 3))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))) (+.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (.f64 x n)) (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)))))))
(-.f64 (+.f64 (.f64 (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) x)) (+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (.f64 x n)))) (.f64 (/.f64 (-.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/3 n)) (/.f64 1/6 (pow.f64 n 3))) (pow.f64 x 3)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))))
(+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (.f64 x n)) (-.f64 (fma.f64 (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) x) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) (.f64 (/.f64 (+.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/3 n)) (/.f64 -1/6 (pow.f64 n 3))) (pow.f64 x 3)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))))
1
(+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n))
(+.f64 1 (/.f64 (log1p.f64 x) n))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n)))
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (+.f64 1 (/.f64 (log1p.f64 x) n)))
(+.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) 1))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 1 (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))))))
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (+.f64 1 (fma.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) (/.f64 (log1p.f64 x) n))))
(+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) (/.f64 (log1p.f64 x) n))))
(+.f64 (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)) (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) 1))
1
(+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n))
(+.f64 1 (/.f64 (log1p.f64 x) n))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n)))
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (+.f64 1 (/.f64 (log1p.f64 x) n)))
(+.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) 1))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 1 (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))))))
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (+.f64 1 (fma.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) (/.f64 (log1p.f64 x) n))))
(+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) (/.f64 (log1p.f64 x) n))))
(+.f64 (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)) (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) 1))

localize40.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x (/.f64 1 n))
	0.0b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
	0.0b	(pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)
	0.0b	(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2))
	0.0b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
	0.0b	(pow.f64 x (/.f64 1 n))
✓	0.3b	(cbrt.f64 (pow.f64 x (/.f64 1 n)))
✓	2.7b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)))

Compiler

Compiled 76 to 54 computations (28.9% saved)

series14.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(cbrt.f64 (pow.f64 x (/.f64 1 n)))
2.0ms	x	@	0	(cbrt.f64 (pow.f64 x (/.f64 1 n)))
2.0ms	x	@	-inf	(cbrt.f64 (pow.f64 x (/.f64 1 n)))
1.0ms	n	@	0	(cbrt.f64 (pow.f64 x (/.f64 1 n)))
1.0ms	n	@	inf	(cbrt.f64 (pow.f64 x (/.f64 1 n)))

rewrite105.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

717×	`prod-diff_binary64`
565×	`log-prod_binary64`
324×	`fma-def_binary64`
322×	`pow2_binary64`
216×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	293	26
2	3525	26

Stop Event

1×	node limit

Counts

2 → 185

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)))
(cbrt.f64 (pow.f64 x (/.f64 1 n)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (/.f64 (log.f64 x) n)))) (cbrt.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (exp.f64 (*.f64 2/3 (/.f64 (log.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 1/6) (pow.f64 (pow.f64 x (/.f64 1 n)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 4))) (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (/.f64 (log.f64 x) n))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x (*.f64 (/.f64 1 n) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 2/3 (/.f64 (log.f64 x) n))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x (/.f64 1 n)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (exp.f64 (*.f64 2/3 (/.f64 (log.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (/.f64 (log.f64 x) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (/.f64 (log.f64 x) n) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))))))))

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

656×	`times-frac_binary64`
525×	`associate-/l*_binary64`
480×	`associate-l_binary64`
389×	`associate-/r*_binary64`
350×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	1828
1	609	1695
2	2190	1599

Stop Event

1×	node limit

Counts

233 → 238

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)))
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(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/4 (/.f64 1 n)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 4)))))
(/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x))
(+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x)))
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(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n)))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1/3)
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1/3)
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1/3)
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1/3)
(pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1/3)
(pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1/3)
(pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1/3)
(pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1/3)
(pow.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1/3)
(pow.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1/3)
(pow.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1/3)
(pow.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1/3)
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1/3)
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1/3)
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1/3)
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1/3)
1
(+.f64 (*.f64 1/3 (/.f64 (log.f64 x) n)) 1)
(+.f64 (.f64 1/3 (/.f64 (log.f64 x) n)) (+.f64 1 (.f64 1/3 (/.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (.f64 1/3 (pow.f64 (log.f64 x) 2))) (pow.f64 n 2)))))
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1
(+.f64 (*.f64 1/3 (/.f64 (log.f64 x) n)) 1)
(+.f64 (.f64 1/3 (/.f64 (log.f64 x) n)) (+.f64 1 (.f64 1/3 (/.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (.f64 1/3 (pow.f64 (log.f64 x) 2))) (pow.f64 n 2)))))
(+.f64 (.f64 1/3 (/.f64 (log.f64 x) n)) (+.f64 1 (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (.f64 1/3 (pow.f64 (log.f64 x) 2))) (pow.f64 n 2))) (.f64 -1/3 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 -1/27 (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 -1/3 (.f64 (log.f64 x) (-.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (.f64 1/3 (pow.f64 (log.f64 x) 2))))) (.f64 -1/3 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (*.f64 1/3 (pow.f64 (log.f64 x) 2))) (log.f64 x)))))) (pow.f64 n 3))))))

Outputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (-.f64 (+.f64 1 (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 (fma.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x) 1) (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (.f64 n n)))) (pow.f64 x 3) (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (.f64 x x))))) (exp.f64 (/.f64 (log.f64 x) n)))
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(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
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(+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (.f64 (/.f64 (+.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (/.f64 (/.f64 11/24 n) n)) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (.f64 n n)))) x))))
(/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x))
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(cbrt.f64 (exp.f64 (/.f64 (log.f64 x) n)))
(pow.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1/3)
(cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))
(cbrt.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))
(pow.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1/3)
(cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))
(cbrt.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))
(pow.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1/3)
(cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))
(cbrt.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))
(pow.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1/3)
(cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))
(cbrt.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1/3)
(cbrt.f64 (exp.f64 (/.f64 (log.f64 x) n)))
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1/3)
(cbrt.f64 (exp.f64 (/.f64 (log.f64 x) n)))
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1/3)
(cbrt.f64 (exp.f64 (/.f64 (log.f64 x) n)))
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1/3)
(cbrt.f64 (exp.f64 (/.f64 (log.f64 x) n)))
1
(+.f64 (*.f64 1/3 (/.f64 (log.f64 x) n)) 1)
(fma.f64 1/3 (/.f64 (log.f64 x) n) 1)
(fma.f64 (/.f64 (log.f64 x) n) 1/3 1)
(+.f64 (.f64 1/3 (/.f64 (log.f64 x) n)) (+.f64 1 (.f64 1/3 (/.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (.f64 1/3 (pow.f64 (log.f64 x) 2))) (pow.f64 n 2)))))
(+.f64 (fma.f64 1/3 (/.f64 (log.f64 x) n) 1) (.f64 1/3 (/.f64 (.f64 (pow.f64 (log.f64 x) 2) 1/6) (*.f64 n n))))
(fma.f64 (/.f64 (log.f64 x) n) 1/3 (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 1/6 n)) 1))
(+.f64 (/.f64 (.f64 (pow.f64 (log.f64 x) 2) 1/18) (.f64 n n)) (fma.f64 (/.f64 (log.f64 x) n) 1/3 1))
(+.f64 (.f64 1/3 (/.f64 (log.f64 x) n)) (+.f64 1 (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (.f64 1/3 (pow.f64 (log.f64 x) 2))) (pow.f64 n 2))) (.f64 1/3 (/.f64 (-.f64 (.f64 1/6 (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 1/3 (.f64 (log.f64 x) (-.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (.f64 1/3 (pow.f64 (log.f64 x) 2))))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (.f64 1/3 (pow.f64 (log.f64 x) 2))) (log.f64 x))) (*.f64 1/27 (pow.f64 (log.f64 x) 3))))) (pow.f64 n 3))))))
(+.f64 (fma.f64 1/3 (/.f64 (log.f64 x) n) 1) (.f64 1/3 (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 x) 2) 1/6) (.f64 n n)) (/.f64 (-.f64 (.f64 1/6 (pow.f64 (log.f64 x) 3)) (fma.f64 1/3 (.f64 (log.f64 x) (.f64 (pow.f64 (log.f64 x) 2) 1/6)) (fma.f64 1/3 (.f64 (log.f64 x) (.f64 (pow.f64 (log.f64 x) 2) 1/6)) (*.f64 (pow.f64 (log.f64 x) 3) 1/27)))) (pow.f64 n 3)))))
(fma.f64 (/.f64 (log.f64 x) n) 1/3 (fma.f64 1/3 (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 1/6 n)) (/.f64 (-.f64 (.f64 1/6 (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 (pow.f64 (log.f64 x) 3) 1/27) (.f64 (*.f64 1/6 (pow.f64 (log.f64 x) 3)) 2/3))) (pow.f64 n 3))) 1))
(+.f64 (fma.f64 1/3 (/.f64 (+.f64 (.f64 (pow.f64 (log.f64 x) 3) 1/18) (.f64 (pow.f64 (log.f64 x) 3) -1/27)) (pow.f64 n 3)) (/.f64 (.f64 (pow.f64 (log.f64 x) 2) 1/18) (.f64 n n))) (fma.f64 (/.f64 (log.f64 x) n) 1/3 1))
1
(+.f64 (*.f64 1/3 (/.f64 (log.f64 x) n)) 1)
(fma.f64 1/3 (/.f64 (log.f64 x) n) 1)
(fma.f64 (/.f64 (log.f64 x) n) 1/3 1)
(+.f64 (.f64 1/3 (/.f64 (log.f64 x) n)) (+.f64 1 (.f64 1/3 (/.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (.f64 1/3 (pow.f64 (log.f64 x) 2))) (pow.f64 n 2)))))
(+.f64 (fma.f64 1/3 (/.f64 (log.f64 x) n) 1) (.f64 1/3 (/.f64 (.f64 (pow.f64 (log.f64 x) 2) 1/6) (*.f64 n n))))
(fma.f64 (/.f64 (log.f64 x) n) 1/3 (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 1/6 n)) 1))
(+.f64 (/.f64 (.f64 (pow.f64 (log.f64 x) 2) 1/18) (.f64 n n)) (fma.f64 (/.f64 (log.f64 x) n) 1/3 1))
(+.f64 (.f64 1/3 (/.f64 (log.f64 x) n)) (+.f64 1 (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (.f64 1/3 (pow.f64 (log.f64 x) 2))) (pow.f64 n 2))) (.f64 -1/3 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 -1/27 (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 -1/3 (.f64 (log.f64 x) (-.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (.f64 1/3 (pow.f64 (log.f64 x) 2))))) (.f64 -1/3 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (*.f64 1/3 (pow.f64 (log.f64 x) 2))) (log.f64 x)))))) (pow.f64 n 3))))))
(+.f64 (fma.f64 1/3 (/.f64 (log.f64 x) n) 1) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 (log.f64 x) 2) 1/6) (.f64 n n)) (.f64 -1/3 (/.f64 (-.f64 (.f64 (pow.f64 (log.f64 x) 3) -1/6) (fma.f64 -1/27 (pow.f64 (log.f64 x) 3) (.f64 -1/3 (+.f64 (.f64 (log.f64 x) (.f64 (pow.f64 (log.f64 x) 2) 1/6)) (.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 x) 2) 1/6)))))) (pow.f64 n 3)))))
(+.f64 (fma.f64 -1/3 (/.f64 (+.f64 (.f64 (pow.f64 (log.f64 x) 3) -7/54) (.f64 (.f64 1/6 (pow.f64 (log.f64 x) 3)) 2/3)) (pow.f64 n 3)) (/.f64 1/3 (/.f64 (.f64 n n) (*.f64 1/6 (pow.f64 (log.f64 x) 2))))) (fma.f64 (/.f64 (log.f64 x) n) 1/3 1))
(+.f64 (fma.f64 -1/3 (/.f64 (fma.f64 (pow.f64 (log.f64 x) 3) -7/54 (.f64 (pow.f64 (log.f64 x) 3) 1/9)) (pow.f64 n 3)) (/.f64 (.f64 (pow.f64 (log.f64 x) 2) 1/18) (*.f64 n n))) (fma.f64 (/.f64 (log.f64 x) n) 1/3 1))

eval683.0ms (3.5%)

Compiler: Compiled 29738 to 18078 computations (39.2% saved)

prune259.0ms (1.3%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	1008	29	1037
Fresh	5	1	6
Picked	1	0	1
Done	4	0	4
Total	1018	30	1048

Error

0.1b

Counts

1048 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	15.5b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
▶	15.4b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
▶	41.7b	(*.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
	15.9b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
	15.6b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
	41.9b	(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
	42.0b	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) n)
	39.1b	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
	41.1b	(/.f64 (/.f64 1 x) n)
	15.8b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
	28.6b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	15.8b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))
▶	15.8b	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	39.7b	(/.f64 (-.f64 x (log.f64 x)) n)
	44.9b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	44.8b	(-.f64 1 (pow.f64 (E.f64) (/.f64 (log.f64 x) n)))
▶	15.5b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	15.6b	(/.f64 (/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) n)
	39.5b	(/.f64 (neg.f64 (log.f64 x)) n)
	37.9b	(-.f64 1 1)
	34.6b	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
	41.9b	(/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 1 (.f64 x x)) (+.f64 -1/2 (/.f64 1/3 x))) (/.f64 1/4 (pow.f64 x 4)))) n)
	51.7b	(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
	42.2b	(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
	57.1b	(-.f64 (+.f64 1 (/.f64 x n)) 1)
	15.9b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n)
	41.4b	(/.f64 1 (*.f64 n x))
▶	61.2b	(/.f64 x n)
	44.9b	(-.f64 1 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 3))
	15.6b	(/.f64 (/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) n)

Compiler

Compiled 800 to 576 computations (28% saved)

localize13.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	1.9b	(log.f64 (/.f64 (+.f64 x 1) x))
	0.1b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	0.0b	(/.f64 (+.f64 x 1) x)
✓	0.0b	(/.f64 (+.f64 x 1) x)
✓	0.1b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
✓	1.9b	(log.f64 (/.f64 (+.f64 x 1) x))

Compiler

Compiled 27 to 17 computations (37% saved)

series26.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	n	@	0	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
5.0ms	n	@	inf	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
1.0ms	n	@	-inf	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
0.0ms	x	@	-inf	(log.f64 (/.f64 (+.f64 x 1) x))
0.0ms	x	@	0	(log.f64 (/.f64 (+.f64 x 1) x))

rewrite86.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

961×	`pow1_binary64`
894×	`add-log-exp_binary64`
894×	`log1p-expm1-u_binary64`
894×	`expm1-log1p-u_binary64`
88×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	172	26
2	2382	26

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

Inputs
(log.f64 (/.f64 (+.f64 x 1) x))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (+.f64 x 1) x)

Outputs

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

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

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

simplify48.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

602×	`distribute-neg-frac_binary64`
458×	`fma-def_binary64`
448×	`associate-/r*_binary64`
377×	`distribute-rgt-neg-in_binary64`
336×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	66	685
1	173	663
2	460	659
3	1338	632
4	4866	622

Stop Event

1×	node limit

Counts

141 → 128

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 -1 (log.f64 x))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))

Outputs
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(+.f64 x (neg.f64 (log.f64 x)))
(-.f64 x (log.f64 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 -1 (log.f64 x))))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x))))
(-.f64 (fma.f64 -1/2 (*.f64 x x) x) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/2) x) (log.f64 x))
(-.f64 (*.f64 x (fma.f64 x -1/2 1)) (log.f64 x))
(fma.f64 x (*.f64 x -1/2) (-.f64 x (log.f64 x)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x)))))
(fma.f64 1/3 (pow.f64 x 3) (-.f64 (fma.f64 -1/2 (*.f64 x x) x) (log.f64 x)))
(-.f64 (fma.f64 1/3 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x)) (log.f64 x))
(fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) (-.f64 x (log.f64 x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))) (/.f64 1/4 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2)) (/.f64 1/4 (pow.f64 x 4))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))) (/.f64 1/4 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2)) (/.f64 1/4 (pow.f64 x 4))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (.f64 -1/2 (/.f64 (.f64 x x) n))))
(+.f64 (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 x (/.f64 n x))))
(-.f64 (fma.f64 -1/2 (/.f64 x (/.f64 n x)) (/.f64 x n)) (/.f64 (log.f64 x) n))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (.f64 -1/2 (/.f64 (.f64 x x) n)))))
(+.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 n x))) (/.f64 (log.f64 x) n)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n)))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (-.f64 (fma.f64 -1/2 (/.f64 x (/.f64 n x)) (/.f64 x n)) (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (fma.f64 -1/2 (/.f64 x (/.f64 n x)) (/.f64 x n))) (/.f64 (log.f64 x) n))
(-.f64 (/.f64 x n) (-.f64 (/.f64 (log.f64 x) n) (.f64 (/.f64 x n) (.f64 x (fma.f64 x 1/3 -1/2)))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 -1/2 (.f64 x (.f64 x n))))
(+.f64 (/.f64 1 (.f64 x n)) (/.f64 -1/2 (.f64 x (*.f64 x n))))
(.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n)))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (.f64 x x) n))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 -1/2 (.f64 x (*.f64 x n)))))
(+.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (/.f64 -1/2 (.f64 x (.f64 x n)))))
(+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 x (.f64 x n))) (-.f64 (/.f64 1/3 x) 1/2)))
(*.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 (pow.f64 x 3) n))) (/.f64 1/4 (.f64 (pow.f64 x 4) n))) (/.f64 1/2 (.f64 (*.f64 x x) n)))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 -1/2 (.f64 x (.f64 x n)))) (/.f64 1/4 (.f64 (pow.f64 x 4) n))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 -1/2 (.f64 x (.f64 x n))) (+.f64 (/.f64 1 (.f64 x n)) (/.f64 -1/4 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n))) (.f64 (/.f64 1 (.f64 (pow.f64 x 3) n)) (-.f64 1/3 (/.f64 1/4 x))))
(+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 -1/2 (-.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/3 x)))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 -1/2 (.f64 x (.f64 x n))))
(+.f64 (/.f64 1 (.f64 x n)) (/.f64 -1/2 (.f64 x (*.f64 x n))))
(.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n)))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (.f64 x x) n))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 -1/2 (.f64 x (*.f64 x n)))))
(+.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (/.f64 -1/2 (.f64 x (.f64 x n)))))
(+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 x (.f64 x n))) (-.f64 (/.f64 1/3 x) 1/2)))
(*.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 (pow.f64 x 3) n))) (/.f64 1/4 (.f64 (pow.f64 x 4) n))) (/.f64 1/2 (.f64 (*.f64 x x) n)))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 -1/2 (.f64 x (.f64 x n)))) (/.f64 1/4 (.f64 (pow.f64 x 4) n))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 -1/2 (.f64 x (.f64 x n))) (+.f64 (/.f64 1 (.f64 x n)) (/.f64 -1/4 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n))) (.f64 (/.f64 1 (.f64 (pow.f64 x 3) n)) (-.f64 1/3 (/.f64 1/4 x))))
(+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 -1/2 (-.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/3 x)))))
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))

localize3.0ms (0%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize26.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1/3 x)
	0.3b	(*.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
	0.2b	(/.f64 (/.f64 1 x) n)
	0.1b	(/.f64 (/.f64 1/3 x) x)
✓	0.1b	(/.f64 (/.f64 1/3 x) x)
✓	0.2b	(/.f64 (/.f64 1 x) n)
✓	0.3b	(*.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
✓	0.4b	(/.f64 1/3 x)

Compiler

Compiled 61 to 42 computations (31.1% saved)

series13.0ms (0.1%)

Counts

4 → 60

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	n	@	0	(*.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
1.0ms	n	@	inf	(*.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
1.0ms	x	@	0	(*.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
1.0ms	x	@	-inf	(*.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
1.0ms	n	@	-inf	(*.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

785×	`log-prod_binary64`
485×	`fma-def_binary64`
362×	`log-div_binary64`
283×	`fma-neg_binary64`
281×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	43
1	328	40
2	4831	38

Stop Event

1×	node limit

Counts

4 → 165

Calls

Call 1

Inputs
(/.f64 1/3 x)
(*.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1/3 x) x)

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/3 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 1/3 (pow.f64 x -2)))) (cbrt.f64 (exp.f64 (.f64 1/3 (pow.f64 x -2)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 1/3 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 1/3 (pow.f64 x -2))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 1/3 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 1/3 (pow.f64 x -2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/3 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 1/3 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (/.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/3 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 1/3 (pow.f64 x -2))) (pow.f64 (cbrt.f64 (.f64 1/3 (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 1/3 (pow.f64 x -2))) 2) (cbrt.f64 (.f64 1/3 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 1/3 (pow.f64 x -2))) 2) (.f64 (cbrt.f64 (.f64 1/3 (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 1/3 x) 2)) (.f64 (cbrt.f64 (/.f64 1/3 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 1/3) x) (/.f64 (sqrt.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 1/3) x) (.f64 (/.f64 (sqrt.f64 1/3) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -1/2) (/.f64 (/.f64 1/3 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 1/3 x)) (.f64 (sqrt.f64 (/.f64 1/3 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/3 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 1/3 x) 2)) 1) (/.f64 (cbrt.f64 (/.f64 1/3 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 1/3 x)) 1) (/.f64 (sqrt.f64 (/.f64 1/3 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1/3 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 1/3 x) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (.f64 1/3 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 1/3 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 1/3 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/3 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 1/3 x) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 1/3 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1/3 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1/3 x) (pow.f64 x -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/3 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/3 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/3) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/27 (pow.f64 (.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1/3 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 1/3 (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 1/3 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/27 (pow.f64 (.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/3 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/3 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/3 (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/3 (pow.f64 x -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/3 (pow.f64 x -2) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x -2) 1)) (cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -2) 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x -2) 1) 2)) (cbrt.f64 (fma.f64 1/3 (pow.f64 x -2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 1/3) x)) (hypot.f64 1 (/.f64 (sqrt.f64 1/3) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 1/27 (pow.f64 (.f64 x x) 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x -2)) 2) (-.f64 1 (.f64 1/3 (pow.f64 x -2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x -2)) 2) -1) (/.f64 1 (fma.f64 1/3 (pow.f64 x -2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/3 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (.f64 (log1p.f64 (.f64 1/3 (pow.f64 x -2))) 1))))))

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1004×	`fma-neg_binary64`
608×	`fma-def_binary64`
565×	`associate-/l*_binary64`
556×	`associate-l_binary64`
536×	`unswap-sqr_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	33	894
1	92	894
2	219	894
3	586	831
4	2124	723
5	6244	721

Stop Event

1×	node limit

Counts

225 → 178

Calls

Call 1

Inputs
(/.f64 1/3 (*.f64 n (pow.f64 x 3)))
(-.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 (.f64 n x)) (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3))))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 (.f64 n x)) (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3))))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (pow.f64 x 2))

Outputs
(/.f64 1/3 (*.f64 n (pow.f64 x 3)))
(-.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1/2 (.f64 n (*.f64 x x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 -1/2 (.f64 n (*.f64 x x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 (/.f64 -1/2 x) (.f64 n x)))
(*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2))
(.f64 (/.f64 1 (.f64 n (*.f64 x x))) (+.f64 -1/2 (/.f64 1/3 x)))
(-.f64 (+.f64 (/.f64 1 (.f64 n x)) (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3))))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1 (.f64 n x))) (/.f64 -1/2 (.f64 n (.f64 x x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 -1/2 x) (.f64 n x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 (/.f64 1 x) n)))
(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
(-.f64 (+.f64 (/.f64 1 (.f64 n x)) (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3))))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1 (.f64 n x))) (/.f64 -1/2 (.f64 n (.f64 x x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 -1/2 x) (.f64 n x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 (/.f64 1 x) n)))
(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (.f64 x x))))
(+.f64 (/.f64 1 (.f64 n x)) (/.f64 -1/2 (.f64 n (*.f64 x x))))
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 -1/2 x) (*.f64 n x)))
(*.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 (/.f64 1 x) n))
(*.f64 (/.f64 (/.f64 1 x) n) (+.f64 1 (/.f64 -1/2 x)))
(neg.f64 (/.f64 (+.f64 (/.f64 1/2 x) -1) (*.f64 n x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1 (.f64 n x))) (/.f64 -1/2 (.f64 n (.f64 x x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 -1/2 x) (.f64 n x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 (/.f64 1 x) n)))
(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1 (.f64 n x))) (/.f64 -1/2 (.f64 n (.f64 x x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 -1/2 x) (.f64 n x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 (/.f64 1 x) n)))
(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (.f64 x x))))
(+.f64 (/.f64 1 (.f64 n x)) (/.f64 -1/2 (.f64 n (*.f64 x x))))
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 -1/2 x) (*.f64 n x)))
(*.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 (/.f64 1 x) n))
(*.f64 (/.f64 (/.f64 1 x) n) (+.f64 1 (/.f64 -1/2 x)))
(neg.f64 (/.f64 (+.f64 (/.f64 1/2 x) -1) (*.f64 n x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1 (.f64 n x))) (/.f64 -1/2 (.f64 n (.f64 x x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 -1/2 x) (.f64 n x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 (/.f64 1 x) n)))
(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1 (.f64 n x))) (/.f64 -1/2 (.f64 n (.f64 x x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 -1/2 x) (.f64 n x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 (/.f64 1 x) n)))
(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1 (.f64 n x))) (/.f64 -1/2 (.f64 n (.f64 x x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 -1/2 x) (.f64 n x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 (/.f64 1 x) n)))
(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1 (.f64 n x))) (/.f64 -1/2 (.f64 n (.f64 x x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 -1/2 x) (.f64 n x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 (/.f64 1 x) n)))
(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1 (.f64 n x))) (/.f64 -1/2 (.f64 n (.f64 x x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 -1/2 x) (.f64 n x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 (/.f64 1 x) n)))
(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1 (.f64 n x))) (/.f64 -1/2 (.f64 n (.f64 x x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 -1/2 x) (.f64 n x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 (/.f64 1 x) n)))
(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1 (.f64 n x))) (/.f64 -1/2 (.f64 n (.f64 x x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 -1/2 x) (.f64 n x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 (/.f64 1 x) n)))
(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1 (.f64 n x))) (/.f64 -1/2 (.f64 n (.f64 x x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 -1/2 x) (.f64 n x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 (/.f64 1 x) n)))
(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1 (.f64 n x))) (/.f64 -1/2 (.f64 n (.f64 x x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 -1/2 x) (.f64 n x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 (/.f64 1 x) n)))
(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1 (.f64 n x))) (/.f64 -1/2 (.f64 n (.f64 x x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 -1/2 x) (.f64 n x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 (/.f64 1 x) n)))
(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1 (.f64 n x))) (/.f64 -1/2 (.f64 n (.f64 x x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 -1/2 x) (.f64 n x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 (/.f64 1 x) n)))
(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1 (.f64 n x))) (/.f64 -1/2 (.f64 n (.f64 x x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 -1/2 x) (.f64 n x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 (/.f64 1 x) n)))
(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1 (.f64 n x))) (/.f64 -1/2 (.f64 n (.f64 x x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 -1/2 x) (.f64 n x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 (/.f64 1 x) n)))
(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1 (.f64 n x))) (/.f64 -1/2 (.f64 n (.f64 x x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 -1/2 x) (.f64 n x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 (/.f64 1 x) n)))
(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.0b	(-.f64 (log1p.f64 x) (log.f64 x))
	0.2b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
✓	0.2b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	2.0b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	n	@	0	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
0.0ms	x	@	inf	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
0.0ms	x	@	-inf	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
0.0ms	x	@	0	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
0.0ms	n	@	inf	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))

rewrite47.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

962×	`pow1_binary64`
892×	`add-log-exp_binary64`
892×	`expm1-log1p-u_binary64`
891×	`log1p-expm1-u_binary64`
93×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	185	11
2	2431	11

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

Inputs
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))

Outputs

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

simplify39.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

636×	`cancel-sign-sub-inv_binary64`
634×	`fma-neg_binary64`
525×	`distribute-neg-frac_binary64`
374×	`associate-/r*_binary64`
373×	`associate-/r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	414
1	123	410
2	308	406
3	875	382
4	3437	370

Stop Event

1×	node limit

Counts

64 → 57

Calls

Call 1

Inputs
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))

Outputs
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (.f64 -1/2 (/.f64 (.f64 x x) n))))
(+.f64 (/.f64 x n) (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 n x))) (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 -1/2 (/.f64 x (/.f64 n x)) (/.f64 x n)) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x n)) (/.f64 x n)) (/.f64 (log.f64 x) n))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (.f64 -1/2 (/.f64 (.f64 x x) n)))))
(+.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 n x))) (/.f64 (log.f64 x) n)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n)))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (-.f64 (fma.f64 -1/2 (/.f64 x (/.f64 n x)) (/.f64 x n)) (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x n)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n))) (/.f64 (log.f64 x) n))
(+.f64 (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) (.f64 (.f64 x (/.f64 x n)) (+.f64 -1/2 (*.f64 x 1/3))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 n (*.f64 x x))))
(+.f64 (/.f64 1 (.f64 x n)) (/.f64 -1/2 (.f64 n (*.f64 x x))))
(.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n)))
(.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 -1/2 x) 1))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 -1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 x (.f64 x n))) (-.f64 (/.f64 1/3 x) 1/2)))
(.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (/.f64 -1/2 x) 1)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/2 (.f64 n (.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1/2 (.f64 n (.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))))
(+.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 -1/2 (.f64 n (.f64 x x)))) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 -1/4 (*.f64 n (pow.f64 x 4)))))
(+.f64 (.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n))) (.f64 (/.f64 1 (.f64 n (pow.f64 x 3))) (-.f64 1/3 (/.f64 1/4 x))))
(fma.f64 (/.f64 1 (.f64 n (pow.f64 x 3))) (+.f64 1/3 (/.f64 -1/4 x)) (.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 -1/2 x) 1)))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 n (*.f64 x x))))
(+.f64 (/.f64 1 (.f64 x n)) (/.f64 -1/2 (.f64 n (*.f64 x x))))
(.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n)))
(.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 -1/2 x) 1))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 -1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 x (.f64 x n))) (-.f64 (/.f64 1/3 x) 1/2)))
(.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (/.f64 -1/2 x) 1)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/2 (.f64 n (.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1/2 (.f64 n (.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))))
(+.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 -1/2 (.f64 n (.f64 x x)))) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 -1/4 (*.f64 n (pow.f64 x 4)))))
(+.f64 (.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n))) (.f64 (/.f64 1 (.f64 n (pow.f64 x 3))) (-.f64 1/3 (/.f64 1/4 x))))
(fma.f64 (/.f64 1 (.f64 n (pow.f64 x 3))) (+.f64 1/3 (/.f64 -1/4 x)) (.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 -1/2 x) 1)))

localize15.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	2.0b	(-.f64 (log1p.f64 x) (log.f64 x))
	0.5b	(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
	0.1b	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	0.1b	(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
✓	0.1b	(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
✓	0.1b	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
✓	0.5b	(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
	2.0b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 35 to 8 computations (77.1% saved)

series6.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
1.0ms	x	@	0	(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
0.0ms	x	@	inf	(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
0.0ms	x	@	0	(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
0.0ms	x	@	-inf	(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`pow1_binary64`
892×	`expm1-log1p-u_binary64`
891×	`add-log-exp_binary64`
890×	`log1p-expm1-u_binary64`
88×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	172	29
2	2361	29

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))

Outputs

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

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

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

simplify45.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

690×	`associate-/r*_binary64`
392×	`associate-+l+_binary64`
384×	`associate-*l/_binary64`
374×	`associate-*r/_binary64`
373×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	921
1	270	905
2	763	893
3	2606	868

Stop Event

1×	node limit

Counts

139 → 138

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 -1 (log.f64 x))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(log.f64 (-.f64 1 (log.f64 x)))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (log.f64 (-.f64 1 (log.f64 x))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (-.f64 1 (log.f64 x))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (pow.f64 x 2))) (log.f64 (-.f64 1 (log.f64 x)))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (-.f64 1 (log.f64 x))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (pow.f64 x 2))) (+.f64 (log.f64 (-.f64 1 (log.f64 x))) (.f64 1/6 (.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 3))) (+.f64 (.f64 2 (/.f64 1 (-.f64 1 (log.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2))))) (pow.f64 x 3))))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 35/24 (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 35/24 (/.f64 1 (pow.f64 x 4)))))

Outputs
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(+.f64 x (neg.f64 (log.f64 x)))
(-.f64 x (log.f64 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 -1 (log.f64 x))))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x))))
(fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x))))
(-.f64 (fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) x)) (log.f64 x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/3 (pow.f64 x 3) (-.f64 x (log.f64 x))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1/4 (pow.f64 x 4)) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1/4 (pow.f64 x 4)) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (.f64 -1/2 (/.f64 (.f64 x x) n))))
(+.f64 (/.f64 x n) (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 n x))) (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 x n) x) (/.f64 x n)) (/.f64 (log.f64 x) n))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (.f64 -1/2 (/.f64 (.f64 x x) n)))))
(+.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 n x))) (/.f64 (log.f64 x) n)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n)))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 x n) x) (/.f64 x n)) (/.f64 (log.f64 x) n)))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 x) n)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 (.f64 x x) n)))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 x (*.f64 x n))))
(+.f64 (/.f64 1 (.f64 x n)) (/.f64 -1/2 (.f64 x (*.f64 x n))))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 (*.f64 x x) n))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 x (.f64 x n)))))
(+.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (/.f64 -1/2 (.f64 x (.f64 x n)))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 (/.f64 1 n) x) (+.f64 (/.f64 1/2 (.f64 (.f64 x x) n)) (/.f64 1/4 (.f64 (pow.f64 x 4) n)))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 x (.f64 x n)))) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 1 (.f64 x n)) (-.f64 (/.f64 -1/4 (.f64 (pow.f64 x 4) n)) (/.f64 1/2 (.f64 x (*.f64 x n))))))
(+.f64 (.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n)) (.f64 (/.f64 1 (*.f64 (pow.f64 x 3) n)) (-.f64 1/3 (/.f64 1/4 x))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 x) n)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 (.f64 x x) n)))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 x (*.f64 x n))))
(+.f64 (/.f64 1 (.f64 x n)) (/.f64 -1/2 (.f64 x (*.f64 x n))))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 (*.f64 x x) n))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 x (.f64 x n)))))
(+.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (/.f64 -1/2 (.f64 x (.f64 x n)))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 (/.f64 1 n) x) (+.f64 (/.f64 1/2 (.f64 (.f64 x x) n)) (/.f64 1/4 (.f64 (pow.f64 x 4) n)))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 x (.f64 x n)))) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 1 (.f64 x n)) (-.f64 (/.f64 -1/4 (.f64 (pow.f64 x 4) n)) (/.f64 1/2 (.f64 x (*.f64 x n))))))
(+.f64 (.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n)) (.f64 (/.f64 1 (*.f64 (pow.f64 x 3) n)) (-.f64 1/3 (/.f64 1/4 x))))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(log.f64 (-.f64 1 (log.f64 x)))
(log1p.f64 (neg.f64 (log.f64 x)))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (log.f64 (-.f64 1 (log.f64 x))))
(+.f64 (log.f64 (-.f64 1 (log.f64 x))) (/.f64 x (-.f64 1 (log.f64 x))))
(+.f64 (log1p.f64 (neg.f64 (log.f64 x))) (/.f64 x (-.f64 1 (log.f64 x))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (-.f64 1 (log.f64 x))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (pow.f64 x 2))) (log.f64 (-.f64 1 (log.f64 x)))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (/.f64 1 (-.f64 1 (log.f64 x))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2)))) (log.f64 (-.f64 1 (log.f64 x)))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (/.f64 1 (-.f64 1 (log.f64 x))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2)))) (log1p.f64 (neg.f64 (log.f64 x)))))
(+.f64 (log1p.f64 (neg.f64 (log.f64 x))) (fma.f64 (*.f64 x x) (+.f64 (/.f64 -1/2 (-.f64 1 (log.f64 x))) (/.f64 -1/2 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (/.f64 x (-.f64 1 (log.f64 x)))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (-.f64 1 (log.f64 x))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (pow.f64 x 2))) (+.f64 (log.f64 (-.f64 1 (log.f64 x))) (.f64 1/6 (.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 3))) (+.f64 (.f64 2 (/.f64 1 (-.f64 1 (log.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2))))) (pow.f64 x 3))))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (+.f64 (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (/.f64 1 (-.f64 1 (log.f64 x))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2)))) (log.f64 (-.f64 1 (log.f64 x)))) (.f64 1/6 (.f64 (pow.f64 x 3) (+.f64 (/.f64 2 (pow.f64 (-.f64 1 (log.f64 x)) 3)) (+.f64 (/.f64 2 (-.f64 1 (log.f64 x))) (/.f64 3 (pow.f64 (-.f64 1 (log.f64 x)) 2))))))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (/.f64 1 (-.f64 1 (log.f64 x))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2)))) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (+.f64 (/.f64 2 (pow.f64 (-.f64 1 (log.f64 x)) 3)) (+.f64 (/.f64 2 (-.f64 1 (log.f64 x))) (/.f64 3 (pow.f64 (-.f64 1 (log.f64 x)) 2))))) (log1p.f64 (neg.f64 (log.f64 x))))))
(+.f64 (fma.f64 (*.f64 x x) (+.f64 (/.f64 -1/2 (-.f64 1 (log.f64 x))) (/.f64 -1/2 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (log1p.f64 (neg.f64 (log.f64 x)))) (fma.f64 (pow.f64 x 3) (fma.f64 1/6 (+.f64 (/.f64 2 (-.f64 1 (log.f64 x))) (/.f64 3 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (/.f64 1/3 (pow.f64 (-.f64 1 (log.f64 x)) 3))) (/.f64 x (-.f64 1 (log.f64 x)))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (fma.f64 (*.f64 x x) (+.f64 (/.f64 -1/2 (-.f64 1 (log.f64 x))) (/.f64 -1/2 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (fma.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 (pow.f64 (-.f64 1 (log.f64 x)) 3)) (+.f64 (/.f64 1/2 (pow.f64 (-.f64 1 (log.f64 x)) 2)) (/.f64 1/3 (-.f64 1 (log.f64 x))))) (log1p.f64 (neg.f64 (log.f64 x))))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 7/6 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 7/6 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 7/6 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x)))
(+.f64 (/.f64 7/6 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 x) (.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 35/24 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 7/6 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 35/24 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 7/6 (pow.f64 x 3))) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 35/24 (pow.f64 x 4))))
(+.f64 (/.f64 7/6 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -35/24 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 7/6 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) (/.f64 -35/24 (pow.f64 x 4)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 7/6 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 7/6 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 7/6 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x)))
(+.f64 (/.f64 7/6 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 x) (.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 35/24 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 7/6 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 35/24 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 7/6 (pow.f64 x 3))) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 35/24 (pow.f64 x 4))))
(+.f64 (/.f64 7/6 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -35/24 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 7/6 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) (/.f64 -35/24 (pow.f64 x 4)))

eval201.0ms (1%)

Compiler: Compiled 10361 to 5924 computations (42.8% saved)

prune123.0ms (0.6%)

Pruning

38 alts after pruning (35 fresh and 3 done)

	Pruned	Kept	Total
New	576	25	601
Fresh	15	10	25
Picked	1	0	1
Done	1	3	4
Total	593	38	631

Error

0.1b

Counts

631 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	39.5b	(/.f64 (neg.f64 (log.f64 x)) n)
✓	15.4b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
✓	41.7b	(*.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
	41.1b	(/.f64 (/.f64 1 x) n)
	39.5b	(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
	15.9b	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
	41.9b	(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
	41.7b	(.f64 (.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 1 n))) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
	41.9b	(+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 -1/2 (-.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/3 x)))))
	39.1b	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
	42.2b	(neg.f64 (/.f64 (+.f64 (/.f64 1/2 x) -1) (*.f64 n x)))
	41.9b	(/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2)) (/.f64 1/4 (pow.f64 x 4)))) n)
	15.9b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
	42.2b	(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
	15.5b	(*.f64 (/.f64 1 n) (log.f64 (/.f64 (+.f64 x 1) x)))
	15.6b	(-.f64 (/.f64 (+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) n) (/.f64 1 n))
	15.8b	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (.f64 n (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))
	15.6b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
	28.6b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	44.9b	(-.f64 1 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 3))
	41.1b	(*.f64 (/.f64 1 n) (/.f64 1 x))
	44.9b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	41.4b	(/.f64 1 (*.f64 n x))
▶	44.8b	(-.f64 1 (pow.f64 (E.f64) (/.f64 (log.f64 x) n)))
	41.7b	(.f64 (.f64 (/.f64 1 x) (/.f64 1 n)) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
	39.7b	(/.f64 (-.f64 x (log.f64 x)) n)
	15.5b	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
▶	42.0b	(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
▶	37.9b	(-.f64 1 1)
	34.6b	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
	32.0b	(/.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)) n)
	42.0b	(.f64 (/.f64 1 n) (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))))
	57.1b	(-.f64 (+.f64 1 (/.f64 x n)) 1)
▶	15.4b	(/.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))) n)
	15.8b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
✓	61.2b	(/.f64 x n)
	15.9b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n)
▶	51.7b	(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 1036 to 756 computations (27% saved)

localize28.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	1.9b	(log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))
	0.1b	(/.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))) n)
	0.1b	(sqrt.f64 (/.f64 (+.f64 x 1) x))
	0.0b	(/.f64 (+.f64 x 1) x)
	0.0b	(/.f64 (+.f64 x 1) x)
✓	0.1b	(sqrt.f64 (/.f64 (+.f64 x 1) x))
✓	0.1b	(/.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))) n)
✓	1.9b	(log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))

Compiler

Compiled 58 to 40 computations (31% saved)

series30.0ms (0.2%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	n	@	0	(/.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))) n)
5.0ms	n	@	inf	(/.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))) n)
2.0ms	x	@	0	(log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))
1.0ms	x	@	-inf	(log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))
1.0ms	x	@	0	(/.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))) n)

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

496×	`log-prod_binary64`
298×	`prod-diff_binary64`
287×	`pow-prod-down_binary64`
255×	`pow2_binary64`
211×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	220	22
2	3226	3

Stop Event

1×	node limit

Counts

3 → 3

Calls

Call 1

Inputs
(log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))
(/.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))) n)
(sqrt.f64 (/.f64 (+.f64 x 1) x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))
((#(struct:change #<rule egg-rr> (2) ((x . 1)))))

simplify39.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

649×	`associate-*l/_binary64`
449×	`associate-/l*_binary64`
449×	`fma-neg_binary64`
341×	`associate-/r*_binary64`
308×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	808
1	328	644
2	1087	622
3	3542	604

Stop Event

1×	node limit

Counts

39 → 49

Calls

Call 1

Inputs
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/6 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/6 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(log.f64 (pow.f64 (sqrt.f64 -1) 2))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)))))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))) (+.f64 (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(*.f64 2 (/.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) n))
(-.f64 (.f64 2 (/.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) n)) (/.f64 1 (.f64 n (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(-.f64 (.f64 2 (/.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) n)) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 n x))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 n (pow.f64 x 2)))))))
(-.f64 (.f64 2 (/.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) n)) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 n x))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 n (pow.f64 x 2))))) (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 n (pow.f64 x 3))))))))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) n))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) n))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) n))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) n))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) n))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) n))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) n))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) n))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) n))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) n))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) n))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) n))
1
(+.f64 1 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) 1) (.f64 1/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 1 (.f64 1/16 (/.f64 1 (pow.f64 x 3))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2))))
(pow.f64 (sqrt.f64 -1) 2)
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))))))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 3)))))))

Outputs
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/2 x) (/.f64 1/4 (*.f64 x x)))
(+.f64 (/.f64 1/2 x) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/6 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/6 (pow.f64 x 3)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (/.f64 1/6 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (/.f64 -1/4 (*.f64 x x)) (-.f64 (/.f64 -1/2 x) (/.f64 1/6 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/6 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/6 (pow.f64 x 3)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/8 (pow.f64 x 4)))))
(+.f64 (/.f64 -1/4 (*.f64 x x)) (+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/6 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 4)))))
(+.f64 (/.f64 1/2 x) (+.f64 (+.f64 (/.f64 1/6 (pow.f64 x 3)) (/.f64 -1/4 (*.f64 x x))) (/.f64 -1/8 (pow.f64 x 4))))
(log.f64 (pow.f64 (sqrt.f64 -1) 2))
(*.f64 2 (log.f64 (sqrt.f64 -1)))
(log.f64 -1)
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(-.f64 (.f64 2 (log.f64 (sqrt.f64 -1))) (/.f64 1/2 (.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (/.f64 1/2 x) (log.f64 -1))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)))))
(-.f64 (.f64 2 (log.f64 (sqrt.f64 -1))) (+.f64 (/.f64 1/2 (.f64 x (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/4 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 -1) 4)))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/2 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (log.f64 -1) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))) (+.f64 (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))))))
(-.f64 (-.f64 (.f64 2 (log.f64 (sqrt.f64 -1))) (/.f64 1/4 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 -1) 4)))) (+.f64 (/.f64 1/2 (.f64 x (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 6)))))
(-.f64 (-.f64 (log.f64 -1) (+.f64 (/.f64 1/4 (.f64 x x)) (/.f64 -1/2 x))) (/.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 6))))
(+.f64 (log.f64 -1) (-.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (log.f64 -1) (-.f64 (/.f64 -1/4 (*.f64 x x)) (-.f64 (/.f64 -1/2 x) (/.f64 1/6 (pow.f64 x 3)))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (*.f64 x x)))
(+.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 -1/2 (.f64 x x)) n))
(.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (.f64 x x) n))))
(+.f64 (/.f64 (/.f64 1 n) x) (-.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (/.f64 (/.f64 1/2 n) (.f64 x x))))
(+.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (/.f64 (/.f64 -1/2 (*.f64 x x)) n)))
(+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 x (.f64 x n))) (-.f64 (/.f64 1/3 x) 1/2)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/2 (.f64 (.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (/.f64 (/.f64 1 n) x) (-.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 (/.f64 1/2 n) (.f64 x x)) (/.f64 (/.f64 1/4 n) (pow.f64 x 4)))))
(+.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 (/.f64 -1/2 (*.f64 x x)) n) (/.f64 (/.f64 1/4 n) (pow.f64 x 4)))))
(+.f64 (.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n))) (.f64 (/.f64 1 (.f64 (pow.f64 x 3) n)) (-.f64 1/3 (/.f64 1/4 x))))
(*.f64 2 (/.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) n))
(.f64 2 (/.f64 (.f64 2 (log.f64 (sqrt.f64 -1))) n))
(*.f64 2 (/.f64 (log.f64 -1) n))
(*.f64 (/.f64 2 n) (log.f64 -1))
(-.f64 (.f64 2 (/.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) n)) (/.f64 1 (.f64 n (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(-.f64 (.f64 2 (/.f64 (.f64 2 (log.f64 (sqrt.f64 -1))) n)) (/.f64 1 (.f64 (.f64 x (pow.f64 (sqrt.f64 -1) 2)) n)))
(-.f64 (.f64 2 (/.f64 (log.f64 -1) n)) (/.f64 -1 (.f64 x n)))
(fma.f64 2 (/.f64 (log.f64 -1) n) (/.f64 1 (*.f64 x n)))
(-.f64 (.f64 2 (/.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) n)) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 n x))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 n (pow.f64 x 2)))))))
(-.f64 (.f64 2 (/.f64 (.f64 2 (log.f64 (sqrt.f64 -1))) n)) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 x n))) (/.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 (*.f64 x x) n)))))
(-.f64 (.f64 2 (/.f64 (log.f64 -1) n)) (+.f64 (/.f64 (/.f64 1/2 n) (.f64 x x)) (/.f64 -1 (*.f64 x n))))
(fma.f64 2 (/.f64 (log.f64 -1) n) (+.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 -1/2 (.f64 x x)) n)))
(fma.f64 2 (/.f64 (log.f64 -1) n) (.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n))))
(-.f64 (.f64 2 (/.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) n)) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 n x))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 n (pow.f64 x 2))))) (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 n (pow.f64 x 3))))))))
(-.f64 (.f64 2 (/.f64 (.f64 2 (log.f64 (sqrt.f64 -1))) n)) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 x n))) (+.f64 (/.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 (.f64 x x) n))) (/.f64 1/3 (.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 x 3) n))))))
(-.f64 (-.f64 (.f64 2 (/.f64 (log.f64 -1) n)) (+.f64 (/.f64 (/.f64 1/2 n) (.f64 x x)) (/.f64 -1 (.f64 x n)))) (/.f64 1/3 (.f64 (pow.f64 x 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) n))))
(fma.f64 2 (/.f64 (log.f64 -1) n) (+.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (/.f64 (/.f64 -1/2 (*.f64 x x)) n))))
(-.f64 (fma.f64 2 (/.f64 (log.f64 -1) n) (/.f64 1 (.f64 x n))) (.f64 (/.f64 1 (.f64 x (.f64 x n))) (-.f64 1/2 (/.f64 1/3 x))))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) n))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) n))
(*.f64 (/.f64 2 n) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) n))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) n))
(*.f64 (/.f64 2 n) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) n))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) n))
(*.f64 (/.f64 2 n) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) n))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) n))
(*.f64 (/.f64 2 n) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) n))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) n))
(*.f64 (/.f64 2 n) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) n))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) n))
(*.f64 (/.f64 2 n) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) n))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) n))
(*.f64 (/.f64 2 n) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) n))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) n))
(*.f64 (/.f64 2 n) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) n))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) n))
(*.f64 (/.f64 2 n) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) n))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) n))
(*.f64 (/.f64 2 n) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) n))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) n))
(*.f64 (/.f64 2 n) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) n))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) n))
(*.f64 (/.f64 2 n) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))))
1
(+.f64 1 (*.f64 1/2 (/.f64 1 x)))
(+.f64 1 (/.f64 1/2 x))
(-.f64 1 (/.f64 -1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) 1) (.f64 1/8 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/2 x) (-.f64 1 (/.f64 1/8 (*.f64 x x))))
(+.f64 1 (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 1 (.f64 1/16 (/.f64 1 (pow.f64 x 3))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 1 (/.f64 1/16 (pow.f64 x 3))) (/.f64 1/8 (*.f64 x x))))
(+.f64 (+.f64 1 (/.f64 1/2 x)) (+.f64 (/.f64 1/16 (pow.f64 x 3)) (/.f64 -1/8 (*.f64 x x))))
(+.f64 1 (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 3)) (/.f64 -1/8 (*.f64 x x)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 3))) (/.f64 1/8 (*.f64 x x))))
(pow.f64 (sqrt.f64 -1) 2)
-1
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 1/2 x))
(+.f64 -1 (/.f64 -1/2 x))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))))))
(-.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 1/2 x)) (/.f64 1/8 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 -1) 2))))
(-.f64 (+.f64 -1 (/.f64 -1/2 x)) (/.f64 -1/8 (*.f64 x x)))
(+.f64 -1 (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (*.f64 x x))))
(+.f64 (/.f64 1/8 (*.f64 x x)) (+.f64 -1 (/.f64 -1/2 x)))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 3)))))))
(-.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 1/2 x)) (+.f64 (/.f64 1/8 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/16 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 4)))))
(-.f64 (-.f64 (+.f64 -1 (/.f64 -1/2 x)) (/.f64 -1/8 (*.f64 x x))) (/.f64 1/16 (pow.f64 x 3)))
(+.f64 (+.f64 -1 (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 3)))) (/.f64 1/8 (*.f64 x x)))
(+.f64 -1 (+.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/8 (*.f64 x x)) (/.f64 -1/16 (pow.f64 x 3)))))

localize3.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize89.0ms (0.5%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.7b	(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
	0.6b	(/.f64 1/3 (*.f64 x x))
	0.0b	(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 1 (/.f64 -1/2 x)))
✓	0.0b	(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 1 (/.f64 -1/2 x)))
✓	0.6b	(/.f64 1/3 (*.f64 x x))
✓	0.7b	(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))

Compiler

Compiled 52 to 30 computations (42.3% saved)

series5.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

980×	`prod-diff_binary64`
482×	`fma-def_binary64`
260×	`expm1-udef_binary64`
260×	`log1p-udef_binary64`
249×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	299	41
2	4380	41

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

Inputs
(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
(/.f64 1/3 (*.f64 x x))
(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 1 (/.f64 -1/2 x)))

Outputs

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

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

608×	`fma-def_binary64`
559×	`associate-/l*_binary64`
548×	`distribute-neg-frac_binary64`
545×	`associate-l_binary64`
536×	`unswap-sqr_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	37	858
1	102	858
2	230	858
3	604	795
4	2128	685
5	6268	681

Stop Event

1×	node limit

Counts

198 → 171

Calls

Call 1

Inputs
(/.f64 1/3 (*.f64 n (pow.f64 x 3)))
(-.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 (.f64 n x)) (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3))))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 (.f64 n x)) (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3))))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (pow.f64 x 2))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 1/3 (/.f64 1 (pow.f64 x 2)))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 1/3 (/.f64 1 (pow.f64 x 2)))) (.f64 1/2 (/.f64 1 x)))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x)))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x)))

Outputs
(/.f64 1/3 (*.f64 n (pow.f64 x 3)))
(-.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 1/2 (.f64 n (*.f64 x x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 -1/2 (.f64 n (*.f64 x x))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 (/.f64 -1/2 x) (.f64 n x)))
(*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2))
(.f64 (/.f64 1 (.f64 n (*.f64 x x))) (+.f64 -1/2 (/.f64 1/3 x)))
(-.f64 (+.f64 (/.f64 1 (.f64 n x)) (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3))))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (/.f64 1 (.f64 n x)) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 -1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 n x)) (/.f64 (/.f64 -1/2 x) (*.f64 n x))))
(+.f64 (/.f64 (/.f64 1 x) n) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
(/.f64 (+.f64 1 (+.f64 (/.f64 1/3 (.f64 x x)) (/.f64 -1/2 x))) (.f64 n x))
(-.f64 (+.f64 (/.f64 1 (.f64 n x)) (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3))))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (/.f64 1 (.f64 n x)) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 -1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 n x)) (/.f64 (/.f64 -1/2 x) (*.f64 n x))))
(+.f64 (/.f64 (/.f64 1 x) n) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
(/.f64 (+.f64 1 (+.f64 (/.f64 1/3 (.f64 x x)) (/.f64 -1/2 x))) (.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (.f64 x x))))
(+.f64 (/.f64 1 (.f64 n x)) (/.f64 -1/2 (.f64 n (*.f64 x x))))
(+.f64 (/.f64 1 (.f64 n x)) (/.f64 (/.f64 -1/2 x) (.f64 n x)))
(*.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 (/.f64 1 x) n))
(neg.f64 (/.f64 (+.f64 (/.f64 1/2 x) -1) (*.f64 n x)))
(/.f64 (-.f64 1 (/.f64 1/2 x)) (*.f64 n x))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (/.f64 1 (.f64 n x)) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 -1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 n x)) (/.f64 (/.f64 -1/2 x) (*.f64 n x))))
(+.f64 (/.f64 (/.f64 1 x) n) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
(/.f64 (+.f64 1 (+.f64 (/.f64 1/3 (.f64 x x)) (/.f64 -1/2 x))) (.f64 n x))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (/.f64 1 (.f64 n x)) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 -1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 n x)) (/.f64 (/.f64 -1/2 x) (*.f64 n x))))
(+.f64 (/.f64 (/.f64 1 x) n) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
(/.f64 (+.f64 1 (+.f64 (/.f64 1/3 (.f64 x x)) (/.f64 -1/2 x))) (.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (.f64 x x))))
(+.f64 (/.f64 1 (.f64 n x)) (/.f64 -1/2 (.f64 n (*.f64 x x))))
(+.f64 (/.f64 1 (.f64 n x)) (/.f64 (/.f64 -1/2 x) (.f64 n x)))
(*.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 (/.f64 1 x) n))
(neg.f64 (/.f64 (+.f64 (/.f64 1/2 x) -1) (*.f64 n x)))
(/.f64 (-.f64 1 (/.f64 1/2 x)) (*.f64 n x))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (/.f64 1 (.f64 n x)) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 -1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 n x)) (/.f64 (/.f64 -1/2 x) (*.f64 n x))))
(+.f64 (/.f64 (/.f64 1 x) n) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
(/.f64 (+.f64 1 (+.f64 (/.f64 1/3 (.f64 x x)) (/.f64 -1/2 x))) (.f64 n x))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (/.f64 1 (.f64 n x)) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 -1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 n x)) (/.f64 (/.f64 -1/2 x) (*.f64 n x))))
(+.f64 (/.f64 (/.f64 1 x) n) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
(/.f64 (+.f64 1 (+.f64 (/.f64 1/3 (.f64 x x)) (/.f64 -1/2 x))) (.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (/.f64 1 (.f64 n x)) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 -1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 n x)) (/.f64 (/.f64 -1/2 x) (*.f64 n x))))
(+.f64 (/.f64 (/.f64 1 x) n) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
(/.f64 (+.f64 1 (+.f64 (/.f64 1/3 (.f64 x x)) (/.f64 -1/2 x))) (.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (/.f64 1 (.f64 n x)) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 -1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 n x)) (/.f64 (/.f64 -1/2 x) (*.f64 n x))))
(+.f64 (/.f64 (/.f64 1 x) n) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
(/.f64 (+.f64 1 (+.f64 (/.f64 1/3 (.f64 x x)) (/.f64 -1/2 x))) (.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (/.f64 1 (.f64 n x)) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 -1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 n x)) (/.f64 (/.f64 -1/2 x) (*.f64 n x))))
(+.f64 (/.f64 (/.f64 1 x) n) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
(/.f64 (+.f64 1 (+.f64 (/.f64 1/3 (.f64 x x)) (/.f64 -1/2 x))) (.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (/.f64 1 (.f64 n x)) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 -1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 n x)) (/.f64 (/.f64 -1/2 x) (*.f64 n x))))
(+.f64 (/.f64 (/.f64 1 x) n) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
(/.f64 (+.f64 1 (+.f64 (/.f64 1/3 (.f64 x x)) (/.f64 -1/2 x))) (.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (/.f64 1 (.f64 n x)) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 -1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 n x)) (/.f64 (/.f64 -1/2 x) (*.f64 n x))))
(+.f64 (/.f64 (/.f64 1 x) n) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
(/.f64 (+.f64 1 (+.f64 (/.f64 1/3 (.f64 x x)) (/.f64 -1/2 x))) (.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (/.f64 1 (.f64 n x)) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 -1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 n x)) (/.f64 (/.f64 -1/2 x) (*.f64 n x))))
(+.f64 (/.f64 (/.f64 1 x) n) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
(/.f64 (+.f64 1 (+.f64 (/.f64 1/3 (.f64 x x)) (/.f64 -1/2 x))) (.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (/.f64 1 (.f64 n x)) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 -1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 n x)) (/.f64 (/.f64 -1/2 x) (*.f64 n x))))
(+.f64 (/.f64 (/.f64 1 x) n) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
(/.f64 (+.f64 1 (+.f64 (/.f64 1/3 (.f64 x x)) (/.f64 -1/2 x))) (.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (/.f64 1 (.f64 n x)) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 -1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 n x)) (/.f64 (/.f64 -1/2 x) (*.f64 n x))))
(+.f64 (/.f64 (/.f64 1 x) n) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
(/.f64 (+.f64 1 (+.f64 (/.f64 1/3 (.f64 x x)) (/.f64 -1/2 x))) (.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (/.f64 1 (.f64 n x)) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 -1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 n x)) (/.f64 (/.f64 -1/2 x) (*.f64 n x))))
(+.f64 (/.f64 (/.f64 1 x) n) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
(/.f64 (+.f64 1 (+.f64 (/.f64 1/3 (.f64 x x)) (/.f64 -1/2 x))) (.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (/.f64 1 (.f64 n x)) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 -1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 n x)) (/.f64 (/.f64 -1/2 x) (*.f64 n x))))
(+.f64 (/.f64 (/.f64 1 x) n) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
(/.f64 (+.f64 1 (+.f64 (/.f64 1/3 (.f64 x x)) (/.f64 -1/2 x))) (.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (/.f64 1 (.f64 n x)) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 -1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 n x)) (/.f64 (/.f64 -1/2 x) (*.f64 n x))))
(+.f64 (/.f64 (/.f64 1 x) n) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
(/.f64 (+.f64 1 (+.f64 (/.f64 1/3 (.f64 x x)) (/.f64 -1/2 x))) (.f64 n x))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x))) (*.f64 n x))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (.f64 n (*.f64 x x)))))
(+.f64 (/.f64 1 (.f64 n x)) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 -1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 n x)) (/.f64 (/.f64 -1/2 x) (*.f64 n x))))
(+.f64 (/.f64 (/.f64 1 x) n) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
(/.f64 (+.f64 1 (+.f64 (/.f64 1/3 (.f64 x x)) (/.f64 -1/2 x))) (.f64 n x))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/2 x))
(+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 -1/2 x))
(-.f64 (+.f64 1 (.f64 1/3 (/.f64 1 (pow.f64 x 2)))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/3 (*.f64 x x)) (-.f64 1 (/.f64 1/2 x)))
(+.f64 1 (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 -1/2 x)))
(-.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (/.f64 1/2 x) -1))
(-.f64 (+.f64 1 (.f64 1/3 (/.f64 1 (pow.f64 x 2)))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/3 (*.f64 x x)) (-.f64 1 (/.f64 1/2 x)))
(+.f64 1 (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 -1/2 x)))
(-.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (/.f64 1/2 x) -1))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1 (/.f64 1/2 x))
(+.f64 1 (/.f64 -1/2 x))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/3 (*.f64 x x)) (-.f64 1 (/.f64 1/2 x)))
(+.f64 1 (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 -1/2 x)))
(-.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (/.f64 1/2 x) -1))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/3 (*.f64 x x)) (-.f64 1 (/.f64 1/2 x)))
(+.f64 1 (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 -1/2 x)))
(-.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (/.f64 1/2 x) -1))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1 (/.f64 1/2 x))
(+.f64 1 (/.f64 -1/2 x))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/3 (*.f64 x x)) (-.f64 1 (/.f64 1/2 x)))
(+.f64 1 (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 -1/2 x)))
(-.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (/.f64 1/2 x) -1))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/3 (*.f64 x x)) (-.f64 1 (/.f64 1/2 x)))
(+.f64 1 (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 -1/2 x)))
(-.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (/.f64 1/2 x) -1))

localize13.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	3.4b	(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
	0.0b	(pow.f64 x (/.f64 1 n))
	0.0b	(+.f64 1 (/.f64 x n))
✓	0.0b	(+.f64 1 (/.f64 x n))
	0.0b	(pow.f64 x (/.f64 1 n))
✓	3.4b	(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 32 to 17 computations (46.9% saved)

series4.0ms (0%)

Counts

2 → 39

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	n	@	-inf	(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
0.0ms	n	@	0	(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
0.0ms	n	@	inf	(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
0.0ms	x	@	0	(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

507×	`fma-def_binary64`
495×	`log-prod_binary64`
326×	`pow-prod-down_binary64`
276×	`pow2_binary64`
217×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	209	23
2	3073	23

Stop Event

1×	node limit

Counts

2 → 200

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(+.f64 1 (/.f64 x n))

Outputs

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

simplify133.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

651×	`associate-*l/_binary64`
570×	`div-sub_binary64`
504×	`associate-*r/_binary64`
339×	`fma-neg_binary64`
271×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	587
1	177	569
2	457	545
3	1829	502
4	7215	502

Stop Event

1×	node limit

Counts

239 → 222

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 x n)
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 x n)
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(/.f64 x n)
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 (+.f64 (/.f64 x n) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) (/.f64 (log.f64 x) n))
(-.f64 (+.f64 (/.f64 x n) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (/.f64 (log.f64 x) n))
(-.f64 (+.f64 (/.f64 x n) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) (/.f64 (log.f64 x) n))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 x) (*.f64 -1 (log.f64 x))) n))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) (.f64 -1 (log.f64 x))) n)) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) (.f64 -1 (log.f64 x))) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) (.f64 -1 (log.f64 x))) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
1
(+.f64 (/.f64 x n) 1)
(+.f64 (/.f64 x n) 1)
(+.f64 (/.f64 x n) 1)
(/.f64 x n)
(/.f64 x n)
(/.f64 x n)
1
(+.f64 (/.f64 x n) 1)
(+.f64 (/.f64 x n) 1)
(+.f64 (/.f64 x n) 1)
1
(+.f64 (/.f64 x n) 1)
(+.f64 (/.f64 x n) 1)
(+.f64 (/.f64 x n) 1)

Outputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 x n)
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 x n)
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 x n)
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 (+.f64 (/.f64 x n) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (.f64 -1/2 (pow.f64 (log.f64 x) 2)) (.f64 n n)) (/.f64 (-.f64 x (log.f64 x)) n))
(fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (-.f64 x (log.f64 x)) n))
(-.f64 (+.f64 (/.f64 x n) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))) (/.f64 (log.f64 x) n)))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (/.f64 (.f64 -1/2 (pow.f64 (log.f64 x) 2)) (.f64 n n))) (/.f64 (-.f64 x (log.f64 x)) n))
(fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (-.f64 x (log.f64 x)) n)))
(-.f64 (+.f64 (/.f64 x n) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (/.f64 (log.f64 x) n)))
(+.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (/.f64 (.f64 -1/2 (pow.f64 (log.f64 x) 2)) (.f64 n n)))) (/.f64 (-.f64 x (log.f64 x)) n))
(fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (-.f64 x (log.f64 x)) n))))
(fma.f64 -1/24 (pow.f64 (/.f64 (log.f64 x) n) 4) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (-.f64 x (log.f64 x)) n))))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 x) (*.f64 -1 (log.f64 x))) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) (.f64 -1 (log.f64 x))) n)) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 (/.f64 x n) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (.f64 -1/2 (pow.f64 (log.f64 x) 2)) (.f64 n n)) (/.f64 (-.f64 x (log.f64 x)) n))
(fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (-.f64 x (log.f64 x)) n))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) (.f64 -1 (log.f64 x))) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(+.f64 (/.f64 x n) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))) (/.f64 (log.f64 x) n)))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (/.f64 (.f64 -1/2 (pow.f64 (log.f64 x) 2)) (.f64 n n))) (/.f64 (-.f64 x (log.f64 x)) n))
(fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (-.f64 x (log.f64 x)) n)))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) (.f64 -1 (log.f64 x))) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(+.f64 (/.f64 x n) (-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (/.f64 (log.f64 x) n)))
(+.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (/.f64 (.f64 -1/2 (pow.f64 (log.f64 x) 2)) (.f64 n n)))) (/.f64 (-.f64 x (log.f64 x)) n))
(fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (-.f64 x (log.f64 x)) n))))
(fma.f64 -1/24 (pow.f64 (/.f64 (log.f64 x) n) 4) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (-.f64 x (log.f64 x)) n))))
1
(+.f64 (/.f64 x n) 1)
(+.f64 1 (/.f64 x n))
(+.f64 (/.f64 x n) 1)
(+.f64 1 (/.f64 x n))
(+.f64 (/.f64 x n) 1)
(+.f64 1 (/.f64 x n))
(/.f64 x n)
(/.f64 x n)
(/.f64 x n)
1
(+.f64 (/.f64 x n) 1)
(+.f64 1 (/.f64 x n))
(+.f64 (/.f64 x n) 1)
(+.f64 1 (/.f64 x n))
(+.f64 (/.f64 x n) 1)
(+.f64 1 (/.f64 x n))
1
(+.f64 (/.f64 x n) 1)
(+.f64 1 (/.f64 x n))
(+.f64 (/.f64 x n) 1)
(+.f64 1 (/.f64 x n))
(+.f64 (/.f64 x n) 1)
(+.f64 1 (/.f64 x n))

localize14.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	3.1b	(-.f64 1 (pow.f64 (E.f64) (/.f64 (log.f64 x) n)))
	0.3b	(/.f64 (log.f64 x) n)
	0.1b	(pow.f64 (E.f64) (/.f64 (log.f64 x) n))
✓	0.1b	(pow.f64 (E.f64) (/.f64 (log.f64 x) n))
	0.3b	(/.f64 (log.f64 x) n)
✓	3.1b	(-.f64 1 (pow.f64 (E.f64) (/.f64 (log.f64 x) n)))

Compiler

Compiled 26 to 9 computations (65.4% saved)

series64.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
60.0ms	x	@	0	(-.f64 1 (pow.f64 (E.f64) (/.f64 (log.f64 x) n)))
1.0ms	x	@	inf	(-.f64 1 (pow.f64 (E.f64) (/.f64 (log.f64 x) n)))
1.0ms	x	@	-inf	(-.f64 1 (pow.f64 (E.f64) (/.f64 (log.f64 x) n)))
0.0ms	n	@	inf	(-.f64 1 (pow.f64 (E.f64) (/.f64 (log.f64 x) n)))
0.0ms	n	@	-inf	(-.f64 1 (pow.f64 (E.f64) (/.f64 (log.f64 x) n)))

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

941×	`pow1_binary64`
875×	`add-log-exp_binary64`
872×	`log1p-expm1-u_binary64`
872×	`expm1-log1p-u_binary64`
860×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	189	17
2	2345	17

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(-.f64 1 (pow.f64 (E.f64) (/.f64 (log.f64 x) n)))
(pow.f64 (E.f64) (/.f64 (log.f64 x) n))

Outputs

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

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

simplify50.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

913×	`fma-def_binary64`
676×	`associate-r_binary64`
673×	`associate-/r*_binary64`
618×	`associate-*l/_binary64`
592×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	708
1	144	698
2	381	676
3	1460	632

Stop Event

1×	node limit

Counts

92 → 65

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
1
(+.f64 (/.f64 (log.f64 x) n) 1)
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
1
(+.f64 (/.f64 (log.f64 x) n) 1)
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))

Outputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(fma.f64 -1 (/.f64 (log.f64 x) n) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))
(-.f64 (/.f64 (.f64 -1/2 (pow.f64 (log.f64 x) 2)) (.f64 n n)) (/.f64 (log.f64 x) n))
(fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (neg.f64 (log.f64 x)) n))
(.f64 (/.f64 (log.f64 x) n) (-.f64 (.f64 (/.f64 (log.f64 x) n) -1/2) 1))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) (/.f64 (log.f64 x) n))
(fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 (/.f64 (log.f64 x) n) (-.f64 (.f64 (/.f64 (log.f64 x) n) -1/2) 1)))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n))
(fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 -1/24 (pow.f64 (/.f64 (log.f64 x) n) 4) (.f64 (/.f64 (log.f64 x) n) (-.f64 (.f64 (/.f64 (log.f64 x) n) -1/2) 1))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(fma.f64 -1 (/.f64 (log.f64 x) n) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))))
(-.f64 (/.f64 (.f64 -1/2 (pow.f64 (log.f64 x) 2)) (.f64 n n)) (/.f64 (log.f64 x) n))
(fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (neg.f64 (log.f64 x)) n))
(.f64 (/.f64 (log.f64 x) n) (-.f64 (.f64 (/.f64 (log.f64 x) n) -1/2) 1))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) (/.f64 (log.f64 x) n))
(fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 (/.f64 (log.f64 x) n) (-.f64 (.f64 (/.f64 (log.f64 x) n) -1/2) 1)))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n))
(fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 -1/24 (pow.f64 (/.f64 (log.f64 x) n) 4) (.f64 (/.f64 (log.f64 x) n) (-.f64 (.f64 (/.f64 (log.f64 x) n) -1/2) 1))))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
1
(+.f64 (/.f64 (log.f64 x) n) 1)
(+.f64 1 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) 1/2)))
(+.f64 (/.f64 (log.f64 x) n) (fma.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) 1/2 1))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) 1/2 (/.f64 (log.f64 x) n)))
(+.f64 1 (.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 (/.f64 (log.f64 x) n) 1/2) 1)))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) 1/6))))
(+.f64 (+.f64 1 (/.f64 (log.f64 x) n)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) 1/2 (.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) 1/6)))
(+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) 1/2 1) (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/6 (/.f64 (log.f64 x) n)))
(+.f64 1 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/6 (.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 (/.f64 (log.f64 x) n) 1/2) 1))))
1
(+.f64 (/.f64 (log.f64 x) n) 1)
(+.f64 1 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) 1/2)))
(+.f64 (/.f64 (log.f64 x) n) (fma.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) 1/2 1))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) 1/2 (/.f64 (log.f64 x) n)))
(+.f64 1 (.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 (/.f64 (log.f64 x) n) 1/2) 1)))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) 1/6))))
(+.f64 (+.f64 1 (/.f64 (log.f64 x) n)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) 1/2 (.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) 1/6)))
(+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) 1/2 1) (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/6 (/.f64 (log.f64 x) n)))
(+.f64 1 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/6 (.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 (/.f64 (log.f64 x) n) 1/2) 1))))

eval343.0ms (1.7%)

Compiler: Compiled 13912 to 9317 computations (33% saved)

prune130.0ms (0.7%)

Pruning

38 alts after pruning (31 fresh and 7 done)

	Pruned	Kept	Total
New	672	8	680
Fresh	7	23	30
Picked	0	1	1
Done	1	6	7
Total	680	38	718

Error

0.1b

Counts

718 → 38

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.4b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
✓	41.7b	(*.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
	34.6b	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
	39.5b	(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
	15.9b	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
	42.2b	(/.f64 (-.f64 1 (/.f64 1/2 x)) (*.f64 n x))
	41.9b	(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
	41.9b	(+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 -1/2 (-.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/3 x)))))
	41.9b	(/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2)) (/.f64 1/4 (pow.f64 x 4)))) n)
	15.9b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
	41.1b	(/.f64 (/.f64 1 x) n)
	42.2b	(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
	39.1b	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
	15.5b	(*.f64 (/.f64 1 n) (log.f64 (/.f64 (+.f64 x 1) x)))
	15.8b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
	41.1b	(/.f64 (/.f64 1 n) x)
	15.6b	(-.f64 (/.f64 (+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) n) (/.f64 1 n))
	15.8b	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (.f64 n (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))
	15.4b	(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) n))
	41.4b	(/.f64 1 (*.f64 n x))
✓	61.2b	(/.f64 x n)
	57.1b	(-.f64 (+.f64 1 (/.f64 x n)) 1)
	15.6b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
	28.6b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	44.9b	(-.f64 1 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 3))
	41.1b	(*.f64 (/.f64 1 n) (/.f64 1 x))
	44.9b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
✓	44.8b	(-.f64 1 (pow.f64 (E.f64) (/.f64 (log.f64 x) n)))
	41.7b	(.f64 (.f64 (/.f64 1 x) (/.f64 1 n)) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
	39.7b	(/.f64 (-.f64 x (log.f64 x)) n)
	15.5b	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
✓	42.0b	(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
✓	37.9b	(-.f64 1 1)
	32.0b	(/.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)) n)
	42.0b	(.f64 (/.f64 1 n) (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))))
	15.9b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n)
	39.5b	(/.f64 (neg.f64 (log.f64 x)) n)
✓	51.7b	(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 510 to 371 computations (27.3% saved)

regimes230.0ms (1.2%)

Counts

38 → 2

Calls

Call 1

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

Outputs
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))

Calls

4 calls:

66.0ms	n
60.0ms	(/.f64 1 n)
57.0ms	(/.f64 1 n)
33.0ms	x

Results

Error	Segments	Branch
1.9b	2	`x`
8.7b	4	`n`
8.7b	3	`(/.f64 1 n)`
8.7b	3	`(/.f64 1 n)`

Compiler

Compiled 452 to 267 computations (40.9% saved)

bsearch174.0ms (0.9%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
174.0ms	3.504399027044245e-8	2.139582964220426

Compiler

Compiled 125 to 90 computations (28% saved)

regimes214.0ms (1.1%)

Counts

24 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 x n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 n) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 x n)) 1)
(/.f64 (-.f64 1 (/.f64 1/2 x)) (*.f64 n x))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(.f64 (/.f64 1 n) (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))))
(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
(*.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
(.f64 (.f64 (/.f64 1 x) (/.f64 1 n)) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
(+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 -1/2 (-.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/3 x)))))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(*.f64 (/.f64 1 n) (log.f64 (/.f64 (+.f64 x 1) x)))
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2)) (/.f64 1/4 (pow.f64 x 4)))) n)
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))

Outputs

(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))

(/.f64 (+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2)) (/.f64 1/4 (pow.f64 x 4)))) n)

(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)

Calls

4 calls:

70.0ms	(/.f64 1 n)
56.0ms	x
46.0ms	(/.f64 1 n)
34.0ms	n

Results

Error	Segments	Branch
9.0b	3	`x`
10.8b	3	`n`
9.6b	4	`(/.f64 1 n)`
9.6b	4	`(/.f64 1 n)`

Compiler

Compiled 254 to 163 computations (35.8% saved)

bsearch716.0ms (3.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
521.0ms	4.933222134896367e+113	9.696685570111066e+114
194.0ms	3.504399027044245e-8	2.139582964220426

Compiler

Compiled 594 to 454 computations (23.6% saved)

regimes244.0ms (1.2%)

Counts

22 → 4

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 x n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 n) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 x n)) 1)
(/.f64 (-.f64 1 (/.f64 1/2 x)) (*.f64 n x))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(.f64 (/.f64 1 n) (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))))
(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
(*.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
(.f64 (.f64 (/.f64 1 x) (/.f64 1 n)) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
(+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 -1/2 (-.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/3 x)))))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(*.f64 (/.f64 1 n) (log.f64 (/.f64 (+.f64 x 1) x)))
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2)) (/.f64 1/4 (pow.f64 x 4)))) n)

Outputs
(-.f64 1 1)
(/.f64 (/.f64 1 x) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))

Calls

4 calls:

69.0ms	x
55.0ms	(/.f64 1 n)
45.0ms	(/.f64 1 n)
32.0ms	n

Results

Error	Segments	Branch
13.1b	3	`x`
10.8b	3	`n`
9.6b	4	`(/.f64 1 n)`
9.6b	4	`(/.f64 1 n)`

Compiler

Compiled 239 to 155 computations (35.1% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0772759761878168e-6	369246417.60708785
0.0ms	-4.24571315628687e-59	-3.0662085542781575e-59
0.0ms	-0.6497136571174544	-0.23322245326748717

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes174.0ms (0.9%)

Counts

20 → 4

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 x n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 n) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 x n)) 1)
(/.f64 (-.f64 1 (/.f64 1/2 x)) (*.f64 n x))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(.f64 (/.f64 1 n) (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))))
(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
(*.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
(.f64 (.f64 (/.f64 1 x) (/.f64 1 n)) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
(+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 -1/2 (-.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/3 x)))))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(*.f64 (/.f64 1 n) (log.f64 (/.f64 (+.f64 x 1) x)))

Outputs
(-.f64 1 1)
(/.f64 (/.f64 1 x) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))

Calls

4 calls:

49.0ms	n
43.0ms	(/.f64 1 n)
38.0ms	(/.f64 1 n)
38.0ms	x

Results

Error	Segments	Branch
13.1b	3	`x`
11.0b	3	`n`
9.9b	4	`(/.f64 1 n)`
9.9b	4	`(/.f64 1 n)`

Compiler

Compiled 205 to 133 computations (35.1% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0772759761878168e-6	369246417.60708785
0.0ms	-4.24571315628687e-59	-3.0662085542781575e-59
0.0ms	-0.6497136571174544	-0.23322245326748717

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes452.0ms (2.3%)

Counts

18 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 x n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 n) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 x n)) 1)
(/.f64 (-.f64 1 (/.f64 1/2 x)) (*.f64 n x))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(.f64 (/.f64 1 n) (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))))
(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
(*.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
(.f64 (.f64 (/.f64 1 x) (/.f64 1 n)) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
(+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 -1/2 (-.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/3 x)))))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))

Outputs
(/.f64 (-.f64 x (log.f64 x)) n)
(+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 -1/2 (-.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/3 x)))))
(-.f64 1 1)

Calls

4 calls:

156.0ms	(/.f64 1 n)
122.0ms	(/.f64 1 n)
122.0ms	n
47.0ms	x

Results

Error	Segments	Branch
13.6b	3	`x`
16.9b	10	`n`
16.7b	10	`(/.f64 1 n)`
16.7b	10	`(/.f64 1 n)`

Compiler

Compiled 187 to 121 computations (35.3% saved)

bsearch710.0ms (3.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
549.0ms	4.933222134896367e+113	9.696685570111066e+114
161.0ms	3.504399027044245e-8	2.139582964220426

Compiler

Compiled 591 to 431 computations (27.1% saved)

regimes285.0ms (1.4%)

Counts

15 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 x n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 n) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 x n)) 1)
(/.f64 (-.f64 1 (/.f64 1/2 x)) (*.f64 n x))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(.f64 (/.f64 1 n) (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))))
(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
(*.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
(.f64 (.f64 (/.f64 1 x) (/.f64 1 n)) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
(+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 -1/2 (-.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/3 x)))))
(/.f64 (neg.f64 (log.f64 x)) n)

Outputs
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 -1/2 (-.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/3 x)))))
(-.f64 1 1)

Calls

4 calls:

91.0ms	(/.f64 1 n)
91.0ms	n
65.0ms	(/.f64 1 n)
33.0ms	x

Results

Error	Segments	Branch
13.8b	3	`x`
21.5b	9	`n`
21.3b	9	`(/.f64 1 n)`
21.3b	9	`(/.f64 1 n)`

Compiler

Compiled 167 to 111 computations (33.5% saved)

bsearch939.0ms (4.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
766.0ms	4.933222134896367e+113	9.696685570111066e+114
172.0ms	3.504399027044245e-8	2.139582964220426

Compiler

Compiled 582 to 431 computations (25.9% saved)

regimes119.0ms (0.6%)

Counts

14 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 x n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 n) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 x n)) 1)
(/.f64 (-.f64 1 (/.f64 1/2 x)) (*.f64 n x))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(.f64 (/.f64 1 n) (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))))
(/.f64 (+.f64 (/.f64 1/3 (.f64 x x)) (+.f64 1 (/.f64 -1/2 x))) (.f64 n x))
(*.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
(.f64 (.f64 (/.f64 1 x) (/.f64 1 n)) (-.f64 (+.f64 (/.f64 (/.f64 1/3 x) x) 1) (/.f64 1/2 x)))
(+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 -1/2 (-.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/3 x)))))

Outputs
(/.f64 (/.f64 1 x) n)
(-.f64 1 1)
(/.f64 (/.f64 1 n) x)

Calls

4 calls:

58.0ms	x
22.0ms	n
19.0ms	(/.f64 1 n)
15.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
35.9b	2	`x`
28.9b	3	`n`
29.0b	2	`(/.f64 1 n)`
29.0b	2	`(/.f64 1 n)`

Compiler

Compiled 162 to 108 computations (33.3% saved)

bsearch206.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
116.0ms	2.6536738002781905e-47	3.3278807208561637e-37
90.0ms	-4.2877518265922765	-1.5391395717871161

Compiler

Compiled 160 to 135 computations (15.6% saved)

regimes36.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 x n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)

Outputs
(/.f64 (/.f64 1 n) x)
(-.f64 1 1)
(/.f64 (/.f64 1 n) x)

Calls

3 calls:

14.0ms	x
13.0ms	n
8.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
35.9b	2	`x`
28.9b	3	`n`
29.1b	2	`(/.f64 1 n)`

Compiler

Compiled 29 to 20 computations (31% saved)

bsearch171.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
65.0ms	2.6536738002781905e-47	3.3278807208561637e-37
106.0ms	-4.2877518265922765	-1.5391395717871161

Compiler

Compiled 160 to 135 computations (15.6% saved)

regimes21.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 x n)
(/.f64 1 (*.f64 n x))

Outputs
(/.f64 1 (*.f64 n x))
(-.f64 1 1)
(/.f64 1 (*.f64 n x))

Calls

2 calls:

10.0ms	x
10.0ms	n

Results

Error	Segments	Branch
36.0b	2	`x`
29.2b	3	`n`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch192.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
87.0ms	2.6536738002781905e-47	3.3278807208561637e-37
105.0ms	-4.2877518265922765	-1.5391395717871161

Compiler

Compiled 160 to 135 computations (15.6% saved)

regimes11.0ms (0.1%)

Accuracy

Total -23.7b remaining (-62.6%)

Threshold costs -23.7b (-62.6%)

Counts

2 → 1

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 x n)

Outputs
(-.f64 1 1)

Calls

2 calls:

7.0ms	n
3.0ms	x

Results

Error	Segments	Branch
37.9b	1	`x`
37.9b	1	`n`

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary64`
16×	`sub-neg_binary64`
12×	`*-commutative_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	417
1	110	417
2	139	417
3	163	417
4	187	417
5	195	417
6	196	417

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x 1) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(if (<=.f64 x 5440166188265831/151115727451828646838272) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 9600000000000000149370394842881693032974733410442189760349797572136004299181654751343859743184455497691580296331264) (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2)) (/.f64 1/4 (pow.f64 x 4)))) n) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)))
(if (<=.f64 (/.f64 1 n) -2147483648/4294967296) (-.f64 1 1) (if (<=.f64 (/.f64 1 n) -4631683569492647936/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 (/.f64 1 x) n) (if (<=.f64 (/.f64 1 n) 4722366482869645/2361183241434822606848) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))))
(if (<=.f64 (/.f64 1 n) -2147483648/4294967296) (-.f64 1 1) (if (<=.f64 (/.f64 1 n) -4631683569492647936/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 (/.f64 1 x) n) (if (<=.f64 (/.f64 1 n) 4722366482869645/2361183241434822606848) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))))
(if (<=.f64 x 5440166188265831/151115727451828646838272) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 9600000000000000149370394842881693032974733410442189760349797572136004299181654751343859743184455497691580296331264) (+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 -1/2 (-.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/3 x))))) (-.f64 1 1)))
(if (<=.f64 x 5440166188265831/151115727451828646838272) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 9600000000000000149370394842881693032974733410442189760349797572136004299181654751343859743184455497691580296331264) (+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 -1/2 (-.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/3 x))))) (-.f64 1 1)))
(if (<=.f64 n -4827579382124535/1125899906842624) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 2776788940479535/102844034832575377634685573909834406561420991602098741459288064) (-.f64 1 1) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -4827579382124535/1125899906842624) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 2776788940479535/102844034832575377634685573909834406561420991602098741459288064) (-.f64 1 1) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -4827579382124535/1125899906842624) (/.f64 1 (.f64 n x)) (if (<=.f64 n 2776788940479535/102844034832575377634685573909834406561420991602098741459288064) (-.f64 1 1) (/.f64 1 (.f64 n x))))
(-.f64 1 1)

Outputs
(if (<=.f64 x 1) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(if (<=.f64 x 5440166188265831/151115727451828646838272) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 9600000000000000149370394842881693032974733410442189760349797572136004299181654751343859743184455497691580296331264) (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2)) (/.f64 1/4 (pow.f64 x 4)))) n) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)))
(if (<=.f64 x 5440166188265831/151115727451828646838272) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 9600000000000000149370394842881693032974733410442189760349797572136004299181654751343859743184455497691580296331264) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2)) (/.f64 -1/4 (pow.f64 x 4)))) n) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)))
(if (<=.f64 (/.f64 1 n) -2147483648/4294967296) (-.f64 1 1) (if (<=.f64 (/.f64 1 n) -4631683569492647936/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 (/.f64 1 x) n) (if (<=.f64 (/.f64 1 n) 4722366482869645/2361183241434822606848) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))))
(if (<=.f64 (/.f64 1 n) -1/2) 0 (if (<=.f64 (/.f64 1 n) -565391060729083/14134776518227074636666380005943348126619871175004951664972849610340958208) (/.f64 (/.f64 1 x) n) (if (<=.f64 (/.f64 1 n) 4722366482869645/2361183241434822606848) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))))
(if (<=.f64 (/.f64 1 n) -2147483648/4294967296) (-.f64 1 1) (if (<=.f64 (/.f64 1 n) -4631683569492647936/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 (/.f64 1 x) n) (if (<=.f64 (/.f64 1 n) 4722366482869645/2361183241434822606848) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))))
(if (<=.f64 (/.f64 1 n) -1/2) 0 (if (<=.f64 (/.f64 1 n) -565391060729083/14134776518227074636666380005943348126619871175004951664972849610340958208) (/.f64 (/.f64 1 x) n) (if (<=.f64 (/.f64 1 n) 4722366482869645/2361183241434822606848) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))))
(if (<=.f64 x 5440166188265831/151115727451828646838272) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 9600000000000000149370394842881693032974733410442189760349797572136004299181654751343859743184455497691580296331264) (+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 -1/2 (-.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/3 x))))) (-.f64 1 1)))
(if (<=.f64 x 5440166188265831/151115727451828646838272) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 9600000000000000149370394842881693032974733410442189760349797572136004299181654751343859743184455497691580296331264) (+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 -1/2 (-.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/3 x))))) 0))
(if (<=.f64 x 5440166188265831/151115727451828646838272) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 9600000000000000149370394842881693032974733410442189760349797572136004299181654751343859743184455497691580296331264) (+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 -1/2 (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/3 x))))) 0))
(if (<=.f64 x 5440166188265831/151115727451828646838272) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 9600000000000000149370394842881693032974733410442189760349797572136004299181654751343859743184455497691580296331264) (+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 -1/2 (-.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/3 x))))) (-.f64 1 1)))
(if (<=.f64 x 5440166188265831/151115727451828646838272) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 9600000000000000149370394842881693032974733410442189760349797572136004299181654751343859743184455497691580296331264) (+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 -1/2 (-.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/3 x))))) 0))
(if (<=.f64 x 5440166188265831/151115727451828646838272) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 9600000000000000149370394842881693032974733410442189760349797572136004299181654751343859743184455497691580296331264) (+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 -1/2 (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/3 x))))) 0))
(if (<=.f64 n -4827579382124535/1125899906842624) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 2776788940479535/102844034832575377634685573909834406561420991602098741459288064) (-.f64 1 1) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -4827579382124535/1125899906842624) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 2776788940479535/102844034832575377634685573909834406561420991602098741459288064) 0 (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -4827579382124535/1125899906842624) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 2776788940479535/102844034832575377634685573909834406561420991602098741459288064) (-.f64 1 1) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -4827579382124535/1125899906842624) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 2776788940479535/102844034832575377634685573909834406561420991602098741459288064) 0 (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -4827579382124535/1125899906842624) (/.f64 1 (.f64 n x)) (if (<=.f64 n 2776788940479535/102844034832575377634685573909834406561420991602098741459288064) (-.f64 1 1) (/.f64 1 (.f64 n x))))
(if (<=.f64 n -4827579382124535/1125899906842624) (/.f64 1 (.f64 x n)) (if (<=.f64 n 2776788940479535/102844034832575377634685573909834406561420991602098741459288064) 0 (/.f64 1 (.f64 x n))))
(-.f64 1 1)
0

end206.0ms (1%)

Stop Event

1×

fuel

Compiler

Compiled 588 to 403 computations (31.5% saved)