Details

analyze365.0ms (1.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
21.4%	18.7%	68.7%	0.1%	0%	12.5%	0%	5
26.9%	21.9%	59.3%	0.1%	0%	18.7%	0%	6
33.3%	25%	50%	0.1%	0%	18.7%	6.2%	7
37%	26.5%	45.3%	0.1%	0%	21.9%	6.2%	8
43.9%	28.1%	35.9%	0.1%	2.3%	21.9%	11.7%	9
47.1%	28.9%	32.4%	0.1%	2.7%	23.4%	12.5%	10
53.3%	30.3%	26.5%	0.1%	4.1%	23.4%	15.5%	11
55.2%	30.7%	25%	0.1%	4.4%	24.2%	15.6%	12

Compiler

Compiled 16 to 12 computations (25% saved)

sample9.4s (28.3%)

Results

3.2s	2806×	body	1024	valid
1.8s	1844×	body	2048	valid
1.6s	1454×	body	1024	invalid
659.0ms	2406×	body	256	valid
589.0ms	1200×	body	512	valid
525.0ms	779×	body	512	invalid
284.0ms	179×	body	1024	infinite
228.0ms	1355×	body	256	invalid
207.0ms	789×	body	256	infinite
190.0ms	256×	body	512	infinite
103.0ms	329×	body	256	unsamplable
7.0ms	4×	body	2048	invalid

Bogosity

preprocess92.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

754×	`fma-def_binary64`
466×	`distribute-rgt-in_binary64`
438×	`distribute-lft-in_binary64`
424×	`fma-neg_binary64`
331×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	33	38
2	76	38
3	195	38
4	662	38
5	2258	38
6	6793	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)

simplify67.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

436×	`unswap-sqr_binary64`
377×	`fma-def_binary64`
287×	`*-commutative_binary64`
254×	`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	341	19
5	1130	19
6	3419	19
7	6556	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

29.6b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.6b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize15.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓	0.0b	(pow.f64 x (/.f64 1 n))
✓	1.8b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

series204.0ms (0.6%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
132.0ms	n	@	-inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
27.0ms	x	@	0	(pow.f64 x (/.f64 1 n))
24.0ms	x	@	-inf	(pow.f64 x (/.f64 1 n))
9.0ms	x	@	inf	(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)))

rewrite92.0ms (0.3%)

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	2853	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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simplify122.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	2445
1	521	2313
2	1781	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)))
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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 (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 1/6 (/.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)))))
(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))))))
1
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(+.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 -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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(+.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))))))
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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 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 x n) (fma.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x) (-.f64 1 (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 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
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(+.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)))))
(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 (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)) (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) (*.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (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 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 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))

eval343.0ms (1%)

Compiler: Compiled 7184 to 4324 computations (39.8% saved)

prune47.0ms (0.1%)

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
	29.2b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3))
	42.2b	(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
▶	27.7b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	29.2b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
▶	29.7b	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
	42.2b	(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))
▶	49.6b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
▶	29.2b	(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
	49.1b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
▶	17.7b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	34.8b	(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)))

Compiler

Compiled 412 to 268 computations (35% saved)

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓	2.7b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 20 to 6 computations (70% saved)

series86.0ms (0.3%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
69.0ms	n	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
13.0ms	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 (-.f64 (log1p.f64 x) (log.f64 x)) n)

rewrite79.0ms (0.2%)

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	2286	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 expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(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 (/.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 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 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) 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 (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 (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 expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 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)))))))

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 expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(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 (/.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 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 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) 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 (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 (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 expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 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)))))))

simplify55.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

603×	`distribute-neg-frac_binary64`
461×	`fma-def_binary64`
457×	`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	1339	563
4	5015	557

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

localize14.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	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)

rewrite103.0ms (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	2450	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 expm1.f64 (/.f64 (log1p.f64 x) n))))) (#(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)))))

simplify68.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

555×	`associate-/l/_binary64`
500×	`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	4251	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 (/.f64 -1/2 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 1/3 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))) (.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (-.f64 (/.f64 (/.f64 11/24 n) n) (/.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 (/.f64 -1/2 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))))
(fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3) (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) (fma.f64 x (.f64 x (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (/.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 (neg.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 (expm1.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n)))
(+.f64 (expm1.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.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 (expm1.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (.f64 x n))) (.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) x)))
(+.f64 (expm1.f64 (/.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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (+.f64 (.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))) -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 (/.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 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 x n))) (/.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))))))) 1))
(+.f64 (.f64 (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) x)) (+.f64 (/.f64 (exp.f64 (/.f64 (neg.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 (expm1.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (.f64 x n)))))
(+.f64 (+.f64 (expm1.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 (/.f64 -1/2 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 (neg.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 (expm1.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n)))
(+.f64 (expm1.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.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 (expm1.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (.f64 x n))) (.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) x)))
(+.f64 (expm1.f64 (/.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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (+.f64 (.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))) -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 (/.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 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 x n))) (/.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))))))) 1))
(+.f64 (.f64 (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) x)) (+.f64 (/.f64 (exp.f64 (/.f64 (neg.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 (expm1.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (.f64 x n)))))
(+.f64 (+.f64 (expm1.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 (/.f64 -1/2 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 (.f64 1/2 (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 (.f64 1/2 (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 (.f64 1/2 (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 (.f64 1/2 (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 (.f64 1/2 (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 (.f64 1/2 (log1p.f64 x)) n) 1) (/.f64 (log1p.f64 x) n))))

localize13.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (/.f64 (log.f64 x) n))
✓	0.2b	(/.f64 (log.f64 x) n)
✓	4.3b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))

Compiler

Compiled 27 to 7 computations (74.1% saved)

series22.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
6.0ms	x	@	inf	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
1.0ms	x	@	0	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
1.0ms	n	@	0	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
1.0ms	n	@	inf	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))

rewrite87.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`pow1_binary64`
881×	`add-log-exp_binary64`
881×	`log1p-expm1-u_binary64`
881×	`expm1-log1p-u_binary64`
861×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	165	26
2	2329	26

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

Inputs
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (log.f64 x) n)
(exp.f64 (/.f64 (log.f64 x) n))

Outputs

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

simplify92.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

915×	`fma-def_binary64`
799×	`associate-r_binary64`
636×	`div-sub_binary64`
619×	`associate-l_binary64`
541×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	802
1	145	798
2	403	724
3	1713	704
4	7379	704

Stop Event

1×	node limit

Counts

140 → 116

Calls

Call 1

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

localize46.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
✓	0.1b	(/.f64 (log1p.f64 x) n)
✓	2.1b	(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
✓	2.1b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 60 to 26 computations (56.7% saved)

series72.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
45.0ms	x	@	inf	(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
3.0ms	n	@	-inf	(exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
3.0ms	x	@	-inf	(exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
2.0ms	x	@	inf	(exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
2.0ms	n	@	inf	(exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))

rewrite174.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`log-prod_binary64`
444×	`prod-diff_binary64`
294×	`pow2_binary64`
260×	`pow-pow_binary64`
239×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	236	59
2	3039	59

Stop Event

1×	node limit

Counts

4 → 318

Calls

Call 1

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

Outputs
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simplify112.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

777×	`associate-/r*_binary64`
410×	`cancel-sign-sub-inv_binary64`
360×	`distribute-rgt-in_binary64`
336×	`distribute-lft-in_binary64`
223×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	289	4562
1	939	4299
2	3597	4068

Stop Event

1×	node limit

Counts

414 → 314

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 (+.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)))
(+.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 (/.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 (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)))))
(-.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)))))
(-.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))))
(+.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 (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)
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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 1/24 (/.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)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.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 -1/4 (/.f64 (pow.f64 x 4) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(+.f64 (/.f64 1 (.f64 n x)) (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(-.f64 (+.f64 (/.f64 1 (.f64 n x)) (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.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 (/.f64 1 (.f64 n x)) (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(+.f64 (/.f64 (log.f64 -1) n) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n)) (/.f64 1 (.f64 n x))))
(-.f64 (+.f64 (/.f64 (log.f64 -1) n) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n)) (/.f64 1 (.f64 n x)))) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 (log.f64 -1) n) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n)) (+.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 (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)
(exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (/.f64 (*.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) x) n))
(+.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (+.f64 (.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))) (/.f64 (.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) x) n)))
(+.f64 (.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 5/6 (/.f64 1 (pow.f64 n 3)))) (/.f64 1 (pow.f64 n 2))) (pow.f64 x 3))) (+.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (+.f64 (.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))) (/.f64 (.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) x) n))))
1
(+.f64 1 (/.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 1 (+.f64 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))))))
(+.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 1 (+.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 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (.f64 n (pow.f64 x 3))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 3) (.f64 (pow.f64 n 3) (pow.f64 x 3)))) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (.f64 (pow.f64 n 2) (pow.f64 x 2))))))))))
1
(+.f64 1 (/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2) (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 1 (+.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)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2) (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 1 (+.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 (/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x)) (.f64 -1 (/.f64 (+.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))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 3) (pow.f64 n 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) n)))) (pow.f64 x 3)))))))
(exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))))
(exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))))
(exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))))
(exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))))
1
(-.f64 (+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n)) (/.f64 (log.f64 x) n))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 2) (pow.f64 n 2))) (+.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 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 3) (pow.f64 n 3))) (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (pow.f64 n 3)))))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (/.f64 (log.f64 x) n))))
1
(+.f64 1 (.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 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n)) (.f64 1/2 (/.f64 (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) 2) (pow.f64 n 2)))))) (.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 1 (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) 3)) (+.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x)))) (.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 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n)) (.f64 1/2 (/.f64 (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) 2) (pow.f64 n 2))))))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))

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

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3)
✓	0.1b	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
	0.1b	(/.f64 (log1p.f64 x) n)
	2.1b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 65 to 31 computations (52.3% saved)

series64.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
13.0ms	x	@	inf	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
11.0ms	x	@	-inf	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
8.0ms	n	@	inf	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
6.0ms	n	@	-inf	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
6.0ms	x	@	inf	(pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3)

rewrite90.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`log-prod_binary64`
444×	`prod-diff_binary64`
337×	`pow2_binary64`
255×	`fma-def_binary64`
240×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	308	37
2	3544	37

Stop Event

1×	node limit

Counts

2 → 138

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
(pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3)

Outputs

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simplify860.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

603×	`times-frac_binary64`
515×	`fma-def_binary64`
459×	`associate-/r*_binary64`
453×	`associate-/l*_binary64`
428×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	597	12578
1	2119	11861

Stop Event

1×	node limit

Counts

186 → 218

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2)) 1/3) (.f64 (+.f64 (/.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n) (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (.f64 2 (/.f64 1 n)) (.f64 2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))))) x)))) (exp.f64 (/.f64 (log.f64 x) n)))
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(+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 1/6 (pow.f64 (log.f64 x) 3))) (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))) (pow.f64 n 6))) (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 2)) (pow.f64 n 4))) (+.f64 (/.f64 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 3) (pow.f64 n 3)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (+.f64 (.f64 2 (.f64 (-.f64 (.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 1/6 (pow.f64 (log.f64 x) 3))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))) (pow.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) 2))) (pow.f64 n 6)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 2)) (pow.f64 n 4)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 2)) (pow.f64 n 5)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) 2) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (pow.f64 n 5))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (.f64 (-.f64 (.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 1/6 (pow.f64 (log.f64 x) 3))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))) (pow.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) 2)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (pow.f64 n 5)) (+.f64 (/.f64 (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (+.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 1/6 (pow.f64 (log.f64 x) 3))) (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2)))) (+.f64 (.f64 2 (.f64 (-.f64 (.f64 1/24 (pow.f64 (log.f64 (+.f64 1 x)) 4)) (.f64 1/24 (pow.f64 (log.f64 x) 4))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))) (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (-.f64 (.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 1/6 (pow.f64 (log.f64 x) 3))))))) (pow.f64 n 6)) (/.f64 (.f64 (-.f64 (.f64 1/24 (pow.f64 (log.f64 (+.f64 1 x)) 4)) (*.f64 1/24 (pow.f64 (log.f64 x) 4))) (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 2)) (pow.f64 n 6)))))))))))
(.f64 -1 (/.f64 (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) 3) (pow.f64 n 3)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) 3) (pow.f64 n 3))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) 2)) (pow.f64 n 4)) (.f64 2 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) 2)) (pow.f64 n 4)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) 2) (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))))) (+.f64 (.f64 (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) 2) (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3)))) (.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) 2) (.f64 2 (.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))))))))) (pow.f64 n 5))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) 2)) (pow.f64 n 4))) (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) 2)) (pow.f64 n 4)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) 2) (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))))) (+.f64 (.f64 (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) 2) (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3)))) (.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) 2) (.f64 2 (.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))))))))) (pow.f64 n 5))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) 3) (pow.f64 n 3))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) (-.f64 (.f64 1/24 (pow.f64 (log.f64 (+.f64 1 x)) 4)) (.f64 1/24 (pow.f64 (log.f64 x) 4)))) (+.f64 (.f64 2 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))))) (.f64 (-.f64 (.f64 1/24 (pow.f64 (log.f64 (+.f64 1 x)) 4)) (.f64 1/24 (pow.f64 (log.f64 x) 4))) (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))))))) (pow.f64 n 6)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) 2) (.f64 2 (.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))))))) (pow.f64 n 6)) (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))))) (pow.f64 n 6))) (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) 2)) (pow.f64 n 4))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) 2)) (pow.f64 n 4)) (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) 2) (-.f64 (.f64 1/24 (pow.f64 (log.f64 (+.f64 1 x)) 4)) (*.f64 1/24 (pow.f64 (log.f64 x) 4)))) (pow.f64 n 6)))))))))

Outputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2)) 1/3) (.f64 (+.f64 (/.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n) (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (.f64 2 (/.f64 1 n)) (.f64 2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))))) x)))) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 1 (-.f64 (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2))) (.f64 x (+.f64 (/.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n) (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (+.f64 (/.f64 2 n) (*.f64 -2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)))))))) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (fma.f64 1/3 (.f64 x (.f64 (fma.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (+.f64 (/.f64 2 n) (/.f64 (*.f64 -2 (exp.f64 (/.f64 (log.f64 x) n))) n)) (/.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2))))) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 2 (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))))) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 n 2))) (.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))))) (+.f64 (.f64 2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 n 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/3) (pow.f64 (+.f64 (/.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n) (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (.f64 2 (/.f64 1 n)) (.f64 2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))))) 2))))) (pow.f64 x 2)) (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2))) (+.f64 1 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2)) 1/3) (.f64 (+.f64 (/.f64 (pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n) (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (.f64 2 (/.f64 1 n)) (*.f64 2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))))) x))))) (exp.f64 (/.f64 (log.f64 x) n)))
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(-.f64 (fma.f64 3 (/.f64 (pow.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) 2) (/.f64 (pow.f64 n 4) (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))) (/.f64 (neg.f64 (pow.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) 3)) (pow.f64 n 3))) (/.f64 (fma.f64 2 (.f64 (pow.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2) (fma.f64 -1 (log1p.f64 x) (log.f64 x))) (fma.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) (fma.f64 2 (.f64 -1/6 (.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 -1 (log1p.f64 x) (log.f64 x)))) (pow.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2)) (.f64 (pow.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) 2) (.f64 -1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))))) (pow.f64 n 5)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) 2) (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))))) (+.f64 (.f64 (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) 2) (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3)))) (.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) 2) (.f64 2 (.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))))))))) (pow.f64 n 5))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) 3) (pow.f64 n 3))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) (-.f64 (.f64 1/24 (pow.f64 (log.f64 (+.f64 1 x)) 4)) (.f64 1/24 (pow.f64 (log.f64 x) 4)))) (+.f64 (.f64 2 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))))) (.f64 (-.f64 (.f64 1/24 (pow.f64 (log.f64 (+.f64 1 x)) 4)) (.f64 1/24 (pow.f64 (log.f64 x) 4))) (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))))))) (pow.f64 n 6)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) 2) (.f64 2 (.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))))))) (pow.f64 n 6)) (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))))) (pow.f64 n 6))) (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) 2)) (pow.f64 n 4))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) 2)) (pow.f64 n 4)) (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) 2) (-.f64 (.f64 1/24 (pow.f64 (log.f64 (+.f64 1 x)) 4)) (*.f64 1/24 (pow.f64 (log.f64 x) 4)))) (pow.f64 n 6)))))))))
(fma.f64 -1 (/.f64 (fma.f64 2 (.f64 (pow.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2) (.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x)))) (fma.f64 (pow.f64 (.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (.f64 -1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (.f64 (.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x))) (+.f64 (pow.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2) (.f64 2 (.f64 (.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 -1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))))))) (pow.f64 n 5)) (fma.f64 -1 (/.f64 (pow.f64 (.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x))) 3) (pow.f64 n 3)) (+.f64 (/.f64 (.f64 (.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x))) (fma.f64 (.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 1/24 (-.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4))) (fma.f64 2 (.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (.f64 -1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (.f64 (.f64 1/24 (-.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4))) (.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x))))))) (pow.f64 n 6)) (+.f64 (/.f64 (.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (+.f64 (pow.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2) (.f64 2 (.f64 (.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 -1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))))) (pow.f64 n 6)) (fma.f64 2 (/.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (/.f64 (pow.f64 n 6) (.f64 (.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 -1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))))) (+.f64 (.f64 3 (/.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (/.f64 (pow.f64 n 4) (pow.f64 (.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x))) 2)))) (/.f64 (pow.f64 (.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (/.f64 (pow.f64 n 6) (*.f64 1/24 (-.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4)))))))))))
(-.f64 (-.f64 (+.f64 (.f64 (/.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) (pow.f64 n 6)) (fma.f64 (.f64 1/24 (-.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4))) (fma.f64 -1 (log1p.f64 x) (log.f64 x)) (fma.f64 2 (.f64 1/2 (.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (.f64 -1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))) (.f64 1/24 (.f64 (-.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4)) (fma.f64 -1 (log1p.f64 x) (log.f64 x))))))) (+.f64 (.f64 (/.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (pow.f64 n 6)) (fma.f64 2 (.f64 -1/6 (.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 -1 (log1p.f64 x) (log.f64 x)))) (pow.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2))) (fma.f64 2 (.f64 (/.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (pow.f64 n 6)) (.f64 -1/6 (.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 -1 (log1p.f64 x) (log.f64 x))))) (fma.f64 3 (/.f64 (pow.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) 2) (/.f64 (pow.f64 n 4) (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))) (.f64 (/.f64 (pow.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) 2) (pow.f64 n 6)) (.f64 1/24 (-.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4)))))))) (/.f64 (pow.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3))) (/.f64 (fma.f64 2 (.f64 (pow.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2) (fma.f64 -1 (log1p.f64 x) (log.f64 x))) (fma.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) (fma.f64 2 (.f64 -1/6 (.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 -1 (log1p.f64 x) (log.f64 x)))) (pow.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2)) (.f64 (pow.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) 2) (.f64 -1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))))) (pow.f64 n 5)))

eval1.3s (3.9%)

Compiler: Compiled 46787 to 30201 computations (35.5% saved)

prune564.0ms (1.7%)

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	1041	33	1074
Fresh	3	3	6
Picked	1	0	1
Done	4	0	4
Total	1049	36	1085

Error

0.0b

Counts

1085 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	42.2b	(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))
	42.9b	(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
	42.3b	(/.f64 (-.f64 x (log.f64 x)) n)
	41.1b	(/.f64 1 (*.f64 x n))
	48.2b	(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))
	52.4b	(.f64 (/.f64 1 (sqrt.f64 (.f64 x n))) (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))))
	56.4b	(-.f64 (+.f64 (/.f64 x n) 1) 1)
	17.9b	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	29.2b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3))
	29.2b	(-.f64 0 (log.f64 (/.f64 (exp.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
	36.8b	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
	17.9b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
▶	49.5b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1)
▶	17.7b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
	38.0b	(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (*.f64 x n) 3)))
	41.5b	(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 n) x))
	41.6b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
▶	18.1b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
	40.7b	(/.f64 (/.f64 1 n) x)
	49.1b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	41.0b	(/.f64 (+.f64 1 (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 (+.f64 (/.f64 (.f64 (log.f64 x) 1/2) n) 1) (/.f64 (log.f64 x) n)))) (*.f64 x n))
	40.7b	(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) x))
	27.7b	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
	37.0b	(log.f64 1)
	34.8b	(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)))
	42.3b	(log.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))
	40.7b	(/.f64 (/.f64 1 x) n)
▶	61.1b	(/.f64 x n)
	29.2b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	27.2b	(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))
	33.0b	(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2)
	17.8b	(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
▶	42.2b	(/.f64 (neg.f64 (log.f64 x)) n)
	17.7b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	28.7b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
	60.3b	(expm1.f64 (/.f64 (log1p.f64 x) n))

Compiler

Compiled 988 to 670 computations (32.2% saved)

localize25.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
✓	0.2b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
	2.7b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 30 to 9 computations (70% saved)

series20.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	n	@	-inf	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
3.0ms	x	@	0	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
2.0ms	x	@	inf	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
2.0ms	n	@	0	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
2.0ms	x	@	-inf	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)

rewrite94.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

459×	`log-prod_binary64`
412×	`prod-diff_binary64`
354×	`exp-prod_binary64`
271×	`pow-prod-down_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	193	22
2	2603	22

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

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

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

simplify57.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

937×	`fma-def_binary64`
449×	`times-frac_binary64`
315×	`associate-l_binary64`
296×	`associate-r_binary64`
291×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	1280
1	552	1209
2	1959	1080

Stop Event

1×	node limit

Counts

154 → 147

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

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)))
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(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
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(-.f64 (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) (.f64 x (.f64 x (-.f64 (/.f64 (/.f64 1 n) (log.f64 x)) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) n))))))
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(/.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 n (*.f64 x x))))
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(-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/4 (.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1/2 (.f64 n (.f64 x x))) (neg.f64 (/.f64 (.f64 n 1/12) (.f64 (*.f64 n n) (pow.f64 x 3))))))
(+.f64 (/.f64 (/.f64 1 x) n) (-.f64 (/.f64 1/4 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1/2 (.f64 n (.f64 x x))) (/.f64 (.f64 n 1/12) (.f64 n (.f64 n (pow.f64 x 3)))))))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (-.f64 (/.f64 1/4 (.f64 n (pow.f64 x 3))) (/.f64 (/.f64 -1/12 n) (pow.f64 x 3))) (/.f64 1/2 (.f64 n (.f64 x x)))))
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(+.f64 (/.f64 1/4 (.f64 n (pow.f64 x 3))) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (.f64 n 1/12) (.f64 n -1/12)) (.f64 n n)) (.f64 1/2 (+.f64 (-.f64 (/.f64 1/4 n) (neg.f64 (/.f64 (.f64 n 1/12) (.f64 n n)))) (/.f64 (.f64 n 1/12) (.f64 n n))))) (pow.f64 x 4)) (/.f64 1 (.f64 x n))) (+.f64 (/.f64 1/2 (.f64 n (.f64 x x))) (neg.f64 (/.f64 (.f64 n 1/12) (.f64 (*.f64 n n) (pow.f64 x 3)))))))
(+.f64 (-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (-.f64 (+.f64 (/.f64 1/8 n) (+.f64 (/.f64 (.f64 n 1/24) (.f64 n n)) (/.f64 (.f64 n 1/24) (.f64 n n)))) (/.f64 (.f64 1/2 (.f64 n -1/12)) (.f64 n n))) (pow.f64 x 4))) (-.f64 (/.f64 1/4 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1/2 (.f64 n (.f64 x x))) (/.f64 (.f64 n 1/12) (.f64 n (*.f64 n (pow.f64 x 3)))))))
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(/.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 n (*.f64 x x))))
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(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 n) (.f64 -1/3 n)) (.f64 (pow.f64 n 2) (pow.f64 x 3)))) (+.f64 (.f64 1/4 (/.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 1/4 (.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1/2 (.f64 n (.f64 x x))) (neg.f64 (/.f64 (.f64 n 1/12) (.f64 (*.f64 n n) (pow.f64 x 3))))))
(+.f64 (/.f64 (/.f64 1 x) n) (-.f64 (/.f64 1/4 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1/2 (.f64 n (.f64 x x))) (/.f64 (.f64 n 1/12) (.f64 n (.f64 n (pow.f64 x 3)))))))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (-.f64 (/.f64 1/4 (.f64 n (pow.f64 x 3))) (/.f64 (/.f64 -1/12 n) (pow.f64 x 3))) (/.f64 1/2 (.f64 n (.f64 x x)))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/6 n) (+.f64 (.f64 -1/4 n) (.f64 -1/2 (+.f64 (.f64 1/4 n) (.f64 -1/3 n))))) (pow.f64 n 2))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/4 n) (.f64 -1/3 n)) (pow.f64 n 2))) (.f64 1/2 (+.f64 (.f64 1/4 (/.f64 1 n)) (.f64 -1 (/.f64 (+.f64 (.f64 1/4 n) (.f64 -1/3 n)) (pow.f64 n 2))))))) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 n) (.f64 -1/3 n)) (.f64 (pow.f64 n 2) (pow.f64 x 3)))) (/.f64 1 (.f64 n x))))) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/4 (.f64 n (pow.f64 x 3))) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (.f64 n 1/12) (.f64 n -1/12)) (.f64 n n)) (.f64 1/2 (+.f64 (-.f64 (/.f64 1/4 n) (neg.f64 (/.f64 (.f64 n 1/12) (.f64 n n)))) (/.f64 (.f64 n 1/12) (.f64 n n))))) (pow.f64 x 4)) (/.f64 1 (.f64 x n))) (+.f64 (/.f64 1/2 (.f64 n (.f64 x x))) (neg.f64 (/.f64 (.f64 n 1/12) (.f64 (*.f64 n n) (pow.f64 x 3)))))))
(+.f64 (-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (-.f64 (+.f64 (/.f64 1/8 n) (+.f64 (/.f64 (.f64 n 1/24) (.f64 n n)) (/.f64 (.f64 n 1/24) (.f64 n n)))) (/.f64 (.f64 1/2 (.f64 n -1/12)) (.f64 n n))) (pow.f64 x 4))) (-.f64 (/.f64 1/4 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1/2 (.f64 n (.f64 x x))) (/.f64 (.f64 n 1/12) (.f64 n (*.f64 n (pow.f64 x 3)))))))
(+.f64 (/.f64 1/4 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 x n)) (-.f64 (-.f64 (/.f64 (/.f64 1/12 n) (pow.f64 x 3)) (/.f64 (+.f64 (/.f64 1/12 n) (-.f64 (/.f64 1/8 n) (/.f64 -1/24 n))) (pow.f64 x 4))) (/.f64 1/2 (.f64 n (.f64 x x))))))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 -1 (/.f64 n (log.f64 x)))
(neg.f64 (/.f64 n (log.f64 x)))
(/.f64 (neg.f64 n) (log.f64 x))
(+.f64 (.f64 -1 (/.f64 n (log.f64 x))) (.f64 -1 (/.f64 (*.f64 n x) (pow.f64 (log.f64 x) 2))))
(*.f64 -1 (+.f64 (/.f64 n (log.f64 x)) (/.f64 n (/.f64 (pow.f64 (log.f64 x) 2) x))))
(-.f64 (/.f64 (neg.f64 n) (log.f64 x)) (/.f64 n (/.f64 (pow.f64 (log.f64 x) 2) x)))
(*.f64 (/.f64 n (log.f64 x)) (-.f64 -1 (/.f64 x (log.f64 x))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 n (log.f64 x))) (.f64 -1 (/.f64 (.f64 n x) (pow.f64 (log.f64 x) 2)))))
(fma.f64 -1 (.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (.f64 x x)) (*.f64 -1 (+.f64 (/.f64 n (log.f64 x)) (/.f64 n (/.f64 (pow.f64 (log.f64 x) 2) x)))))
(-.f64 (-.f64 (/.f64 (neg.f64 n) (log.f64 x)) (/.f64 n (/.f64 (pow.f64 (log.f64 x) 2) x))) (.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (.f64 x x)))
(-.f64 (.f64 (/.f64 n (log.f64 x)) (-.f64 -1 (/.f64 x (log.f64 x)))) (.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (*.f64 x x)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/3 (/.f64 n (pow.f64 (log.f64 x) 2))) (+.f64 (.f64 -1 (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 n (pow.f64 (log.f64 x) 4)))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 n (log.f64 x))) (.f64 -1 (/.f64 (.f64 n x) (pow.f64 (log.f64 x) 2))))))
(fma.f64 -1 (.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (.f64 x x)) (fma.f64 -1 (.f64 (fma.f64 1/3 (/.f64 n (pow.f64 (log.f64 x) 2)) (fma.f64 -1 (/.f64 n (pow.f64 (log.f64 x) 3)) (/.f64 n (pow.f64 (log.f64 x) 4)))) (pow.f64 x 3)) (.f64 -1 (+.f64 (/.f64 n (log.f64 x)) (/.f64 n (/.f64 (pow.f64 (log.f64 x) 2) x))))))
(-.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 n (pow.f64 (log.f64 x) 2)) 1/3 (-.f64 (/.f64 n (pow.f64 (log.f64 x) 4)) (/.f64 n (pow.f64 (log.f64 x) 3))))) (pow.f64 x 3) (-.f64 (/.f64 (neg.f64 n) (log.f64 x)) (/.f64 n (/.f64 (pow.f64 (log.f64 x) 2) x)))) (.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (.f64 x x)))
(-.f64 (.f64 (/.f64 n (log.f64 x)) (-.f64 -1 (/.f64 x (log.f64 x)))) (.f64 (.f64 x x) (+.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (.f64 (+.f64 (/.f64 n (pow.f64 (log.f64 x) 4)) (*.f64 (/.f64 n (pow.f64 (log.f64 x) 2)) (+.f64 1/3 (/.f64 -1 (log.f64 x))))) x))))
(*.f64 n x)
(*.f64 x n)
(+.f64 (.f64 n x) (.f64 1/2 n))
(fma.f64 n x (*.f64 n 1/2))
(*.f64 n (+.f64 x 1/2))
(+.f64 (.f64 n x) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 n) (.f64 1/3 n)) x)) (*.f64 1/2 n)))
(fma.f64 n x (fma.f64 -1 (/.f64 (.f64 n 1/12) x) (.f64 n 1/2)))
(fma.f64 x n (-.f64 (*.f64 n 1/2) (/.f64 n (/.f64 x 1/12))))
(fma.f64 n (+.f64 x 1/2) (/.f64 (*.f64 n -1/12) x))
(+.f64 (.f64 n x) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 n) (.f64 1/3 n)) x)) (+.f64 (.f64 1/2 n) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 n) (.f64 1/3 n))) (+.f64 (.f64 1/6 n) (*.f64 -1/4 n))) (pow.f64 x 2))))))
(fma.f64 n x (fma.f64 -1 (/.f64 (.f64 n 1/12) x) (fma.f64 1/2 n (neg.f64 (/.f64 (fma.f64 1/2 (.f64 n 1/12) (.f64 n -1/12)) (.f64 x x))))))
(fma.f64 x n (-.f64 (-.f64 (.f64 n 1/2) (/.f64 n (/.f64 x 1/12))) (/.f64 (.f64 1/2 (.f64 n -1/12)) (.f64 x x))))
(+.f64 (fma.f64 n (+.f64 x 1/2) (/.f64 (.f64 n -1/12) x)) (/.f64 (.f64 n 1/24) (*.f64 x x)))
(*.f64 n x)
(*.f64 x n)
(+.f64 (.f64 n x) (.f64 1/2 n))
(fma.f64 n x (*.f64 n 1/2))
(*.f64 n (+.f64 x 1/2))
(+.f64 (.f64 n x) (+.f64 (.f64 1/4 (/.f64 n x)) (+.f64 (.f64 1/2 n) (.f64 -1/3 (/.f64 n x)))))
(fma.f64 n x (fma.f64 1/4 (/.f64 n x) (fma.f64 1/2 n (/.f64 (*.f64 n -1/3) x))))
(fma.f64 x n (fma.f64 1/4 (/.f64 n x) (fma.f64 n 1/2 (*.f64 -1/3 (/.f64 n x)))))
(fma.f64 x n (fma.f64 n 1/2 (*.f64 (/.f64 n x) -1/12)))
(+.f64 (.f64 n x) (+.f64 (.f64 1/4 (/.f64 n x)) (+.f64 (.f64 1/2 n) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/6 n) (+.f64 (.f64 -1/4 n) (.f64 -1/2 (+.f64 (.f64 1/4 n) (.f64 -1/3 n))))) (pow.f64 x 2))) (.f64 -1/3 (/.f64 n x))))))
(fma.f64 n x (fma.f64 1/4 (/.f64 n x) (fma.f64 1/2 n (fma.f64 -1 (/.f64 (+.f64 (.f64 n -1/12) (.f64 -1/2 (.f64 n -1/12))) (.f64 x x)) (/.f64 (*.f64 n -1/3) x)))))
(fma.f64 x n (fma.f64 1/4 (/.f64 n x) (fma.f64 n 1/2 (-.f64 (.f64 -1/3 (/.f64 n x)) (/.f64 (.f64 1/2 (.f64 n -1/12)) (.f64 x x))))))
(-.f64 (fma.f64 x n (fma.f64 n 1/2 (.f64 (/.f64 n x) -1/12))) (/.f64 (.f64 n -1/24) (*.f64 x x)))

localize3.0ms (0%)

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

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (neg.f64 (log.f64 x)) n)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite46.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

549×	`pow1_binary64`
507×	`add-log-exp_binary64`
506×	`log1p-expm1-u_binary64`
506×	`expm1-log1p-u_binary64`
496×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	128	6
2	1787	6

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify109.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

766×	`fma-neg_binary64`
705×	`div-sub_binary64`
639×	`associate--l+_binary64`
488×	`distribute-rgt-in_binary64`
453×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	192
1	36	192
2	62	192
3	111	192
4	232	192
5	618	192
6	2041	192
7	3615	192
8	4088	192
9	4466	192
10	5047	192
11	5667	192

Stop Event

1×	node limit

Counts

59 → 38

Calls

Call 1

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

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

localize23.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (/.f64 (log1p.f64 x) n))
	0.1b	(/.f64 (log1p.f64 x) n)
✓	2.6b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1)

Compiler

Compiled 23 to 8 computations (65.2% saved)

series5.0ms (0%)

Counts

2 → 40

Calls

12 calls:

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

rewrite53.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

815×	`pow1_binary64`
755×	`add-log-exp_binary64`
754×	`expm1-log1p-u_binary64`
753×	`log1p-expm1-u_binary64`
738×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	164	16
2	2063	16

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

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

simplify65.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

500×	`distribute-rgt-in_binary64`
481×	`distribute-lft-in_binary64`
388×	`fma-def_binary64`
248×	`associate-+l+_binary64`
238×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	1532
1	337	1518
2	1005	1278
3	4498	1248

Stop Event

1×	node limit

Counts

93 → 104

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 (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))))
1
(+.f64 (/.f64 x n) 1)
(+.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))))
(+.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 -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))))
(+.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)))))
(+.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))))))
(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 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)))
(+.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))))
(+.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 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))
(+.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))))))

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

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓	0.4b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
✓	0.4b	(cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	2.7b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 39 to 10 computations (74.4% saved)

series25.0ms (0.1%)

Counts

2 → 8

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
5.0ms	x	@	0	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
3.0ms	x	@	0	(cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)

rewrite131.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

576×	`prod-diff_binary64`
485×	`log-prod_binary64`
305×	`pow-prod-down_binary64`
257×	`pow2_binary64`
201×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	222	24
2	2786	24

Stop Event

1×	node limit

Counts

2 → 235

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)

Outputs

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

simplify102.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-def_binary64`
335×	`distribute-rgt-in_binary64`
333×	`distribute-lft-in_binary64`
321×	`unswap-sqr_binary64`
282×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	158	1952
1	510	1905
2	1930	1874
3	6864	1871

Stop Event

1×	node limit

Counts

243 → 251

Calls

Call 1

Inputs
(.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 x)) n) 1/3) (cbrt.f64 -1))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))) (.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 x)) n) 1/3) (cbrt.f64 -1)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 n 2) 1) (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 x)) n) 1/3) (cbrt.f64 -1))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 n 2) 1) (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 n)) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 5))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 n 2) 1) (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 x)) n) 1/3) (cbrt.f64 -1)))))
(.f64 -1 (.f64 (/.f64 (log.f64 x) n) (pow.f64 1 1/3)))
(+.f64 (.f64 -1 (.f64 (/.f64 (log.f64 x) n) (pow.f64 1 1/3))) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) (pow.f64 n 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) (pow.f64 n 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x))
(+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 x)) n) 1/3) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 14) (pow.f64 (log.f64 x) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 n 1) (log.f64 x)) 1/3) (/.f64 (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1))))) (cbrt.f64 -1))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (/.f64 (log.f64 x) n) (pow.f64 1 1/3))) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) (pow.f64 n 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) (pow.f64 n 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)))
(+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 x)) n) 1/3) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 14) (pow.f64 (log.f64 x) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 n 1) (log.f64 x)) 1/3) (/.f64 (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1))))) (cbrt.f64 -1))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (/.f64 (log.f64 x) n) (pow.f64 1 1/3))) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) (pow.f64 n 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) (pow.f64 n 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 5))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 14) (pow.f64 (log.f64 x) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 n 1) (log.f64 x)) 1/3) (/.f64 (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/3 (/.f64 1 n)) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 5))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) (.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 x)) n) 1/3) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 n (pow.f64 (log.f64 x) 8))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 n 1) (log.f64 x)) 1/3) (/.f64 (-.f64 (.f64 1/3 (/.f64 1 n)) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 5))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (cbrt.f64 -1))))) (cbrt.f64 -1)))))) (pow.f64 x 3)))))

Outputs
(.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 x)) n) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (cbrt.f64 -1))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))) (.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 x)) n) 1/3) (cbrt.f64 -1)))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/18)) (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (cbrt.f64 -1)))
(fma.f64 1/3 (.f64 x (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (cbrt.f64 -1)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 x (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) (pow.f64 n 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) (pow.f64 n 7)) 1/18)))) (.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (cbrt.f64 -1)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 n 2) 1) (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 x)) n) 1/3) (cbrt.f64 -1))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/18)) (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 (.f64 n n) (pow.f64 (log.f64 x) 2))) (/.f64 (.f64 (.f64 x x) (+.f64 (/.f64 1/2 n) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 x) (pow.f64 n 17))) 1/18) (pow.f64 (/.f64 1 (.f64 (log.f64 x) (pow.f64 n 17))) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (cbrt.f64 -1))))
(fma.f64 1/3 (.f64 x (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (cbrt.f64 -1) (.f64 (.f64 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (/.f64 1/2 n))) (.f64 -1/3 (cbrt.f64 (/.f64 (.f64 n n) (pow.f64 (log.f64 x) 2)))))))
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(fma.f64 x (.f64 x (fma.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (.f64 (cbrt.f64 -1) (fma.f64 -2/3 (.f64 (/.f64 (cbrt.f64 (/.f64 n (log.f64 x))) (cbrt.f64 -1)) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (/.f64 1/2 n))) (.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 14)) (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 14)) (pow.f64 (log.f64 x) 4)) 1/18)))))) (fma.f64 -1/3 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (/.f64 1/2 n)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (.f64 (.f64 2/9 (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18)) (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18)))))) (-.f64 (fma.f64 (pow.f64 x 3) (fma.f64 1/3 (fma.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) (pow.f64 n 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) (pow.f64 n 7)) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 -2/3 (.f64 (/.f64 (cbrt.f64 (/.f64 n (log.f64 x))) (cbrt.f64 -1)) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (/.f64 1/2 n))) (.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 14)) (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 14)) (pow.f64 (log.f64 x) 4)) 1/18)))))) (-.f64 (/.f64 1/3 n) (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 4)) (pow.f64 (log.f64 x) 5)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 4)) (pow.f64 (log.f64 x) 5)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (.f64 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (/.f64 1/2 n)) -2/3) (/.f64 (.f64 1/27 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) (pow.f64 n 7)))) (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 (cbrt.f64 -1) (.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 n (log.f64 x))) (-.f64 (/.f64 (-.f64 (/.f64 1/3 n) (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 4)) (pow.f64 (log.f64 x) 5)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 4)) (pow.f64 (log.f64 x) 5)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (.f64 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (/.f64 1/2 n)) -2/3))) (cbrt.f64 -1)) (/.f64 (.f64 1/27 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) (pow.f64 n 7)))) -1))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (/.f64 1/2 n))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 (/.f64 1 n) (pow.f64 (log.f64 x) 8)) 1/18) (pow.f64 (/.f64 (/.f64 1 n) (pow.f64 (log.f64 x) 8)) 1/18)))))) (.f64 (.f64 -2/9 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 4)) (pow.f64 (log.f64 x) 5)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 4)) (pow.f64 (log.f64 x) 5)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (/.f64 1/2 n))))) (.f64 x (.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 13)) 1/18) (*.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 13)) 1/18) (cbrt.f64 (neg.f64 (cbrt.f64 -1))))))) (/.f64 (log.f64 x) n)))

eval592.0ms (1.8%)

Compiler: Compiled 19273 to 9347 computations (51.5% saved)

prune259.0ms (0.8%)

Pruning

37 alts after pruning (35 fresh and 2 done)

	Pruned	Kept	Total
New	752	12	764
Fresh	8	23	31
Picked	1	0	1
Done	2	2	4
Total	763	37	800

Error

0.0b

Counts

800 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	42.2b	(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))
	42.9b	(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
▶	37.0b	(-.f64 1 1)
	42.3b	(/.f64 (-.f64 x (log.f64 x)) n)
	29.2b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3))
	38.8b	(pow.f64 (*.f64 n (+.f64 x 1/2)) -1)
	29.2b	(-.f64 0 (log.f64 (/.f64 (exp.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
	36.8b	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
	17.9b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	56.2b	(-.f64 (exp.f64 (/.f64 x n)) 1)
	42.6b	(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 x)) n)) 3)
	28.7b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
	38.0b	(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (*.f64 x n) 3)))
	41.6b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
▶	42.2b	(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
	18.0b	(pow.f64 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)) -1)
	40.7b	(/.f64 (/.f64 1 n) x)
	49.1b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
▶	17.7b	(/.f64 (/.f64 1 n) (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))
	41.0b	(/.f64 (+.f64 1 (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 (+.f64 (/.f64 (.f64 (log.f64 x) 1/2) n) 1) (/.f64 (log.f64 x) n)))) (*.f64 x n))
	40.7b	(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) x))
	27.7b	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
	17.8b	(pow.f64 (/.f64 n (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))) -1)
	34.8b	(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)))
	42.3b	(log.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))
	40.7b	(/.f64 (/.f64 1 x) n)
✓	61.1b	(/.f64 x n)
	29.2b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	27.2b	(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))
	56.4b	(-.f64 (+.f64 (/.f64 x n) 1) 1)
	33.0b	(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2)
▶	33.7b	(/.f64 (-.f64 (.f64 (log1p.f64 x) n) (.f64 n (log.f64 x))) (*.f64 n n))
	42.2b	(pow.f64 (/.f64 (neg.f64 n) (log.f64 x)) -1)
	41.1b	(/.f64 1 (*.f64 x n))
✓	42.2b	(/.f64 (neg.f64 (log.f64 x)) n)
▶	48.1b	(*.f64 (pow.f64 n -1/2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))
	52.4b	(.f64 (/.f64 1 (sqrt.f64 (.f64 x n))) (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))))

Compiler

Compiled 992 to 686 computations (30.8% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
✓	0.1b	(/.f64 (/.f64 1 n) (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))
	2.7b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 35 to 15 computations (57.1% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite83.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`log-prod_binary64`
426×	`prod-diff_binary64`
331×	`pow-prod-down_binary64`
273×	`pow2_binary64`
195×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	218	22
2	3016	22

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

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

simplify48.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

806×	`fma-def_binary64`
621×	`associate-/r*_binary64`
510×	`associate-l_binary64`
483×	`associate-r_binary64`
365×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	654
1	232	643
2	608	636
3	2024	604

Stop Event

1×	node limit

Counts

119 → 115

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))))))
(/.f64 -1 (log.f64 x))
(-.f64 (*.f64 -1 (/.f64 x (pow.f64 (log.f64 x) 2))) (/.f64 1 (log.f64 x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 x (pow.f64 (log.f64 x) 2))) (.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 x) 2))) (/.f64 1 (pow.f64 (log.f64 x) 3))) (pow.f64 x 2))) (/.f64 1 (log.f64 x)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (log.f64 x) 3))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (log.f64 x) 2))) (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (log.f64 x) 2))) (/.f64 1 (pow.f64 (log.f64 x) 3))) (log.f64 x))))) (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (log.f64 x) 2))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (log.f64 x) 2))) (/.f64 1 (pow.f64 (log.f64 x) 3))) (pow.f64 x 2)))) (/.f64 1 (log.f64 x)))
x
(+.f64 1/2 x)
(-.f64 (+.f64 1/2 x) (*.f64 1/12 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 x 2))) x)) (.f64 1/12 (/.f64 1 x)))
x
(+.f64 1/2 x)
(-.f64 (+.f64 1/2 x) (*.f64 1/12 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 x 2))) x)) (.f64 1/12 (/.f64 1 x)))

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 (/.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 (fma.f64 -1/2 (*.f64 (/.f64 x n) x) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n))) (/.f64 (log.f64 x) n))
(/.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 n (*.f64 x x))))
(+.f64 (/.f64 1 (.f64 x n)) (/.f64 -1/2 (.f64 n (*.f64 x x))))
(+.f64 (/.f64 (/.f64 1 n) x) (/.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 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 (/.f64 1 n) x) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 (/.f64 -1/2 (.f64 x x)) n)))
(+.f64 (.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n))) (/.f64 1/3 (*.f64 n (pow.f64 x 3))))
(-.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 1 (.f64 x n)) (/.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 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 -1/2 (.f64 n (.f64 x x)))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 -1/2 (.f64 x x)) n)) (/.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))))
(/.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 n (*.f64 x x))))
(+.f64 (/.f64 1 (.f64 x n)) (/.f64 -1/2 (.f64 n (*.f64 x x))))
(+.f64 (/.f64 (/.f64 1 n) x) (/.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 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 (/.f64 1 n) x) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 (/.f64 -1/2 (.f64 x x)) n)))
(+.f64 (.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n))) (/.f64 1/3 (*.f64 n (pow.f64 x 3))))
(-.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 1 (.f64 x n)) (/.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 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 -1/2 (.f64 n (.f64 x x)))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 -1/2 (.f64 x x)) n)) (/.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))))
(/.f64 -1 (log.f64 x))
(-.f64 (*.f64 -1 (/.f64 x (pow.f64 (log.f64 x) 2))) (/.f64 1 (log.f64 x)))
(-.f64 (neg.f64 (/.f64 x (pow.f64 (log.f64 x) 2))) (/.f64 1 (log.f64 x)))
(fma.f64 -1 (/.f64 x (pow.f64 (log.f64 x) 2)) (/.f64 -1 (log.f64 x)))
(-.f64 (/.f64 -1 (log.f64 x)) (/.f64 x (pow.f64 (log.f64 x) 2)))
(*.f64 (+.f64 (/.f64 x (log.f64 x)) 1) (/.f64 -1 (log.f64 x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 x (pow.f64 (log.f64 x) 2))) (.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 x) 2))) (/.f64 1 (pow.f64 (log.f64 x) 3))) (pow.f64 x 2))) (/.f64 1 (log.f64 x)))
(-.f64 (fma.f64 -1 (/.f64 x (pow.f64 (log.f64 x) 2)) (.f64 (.f64 x x) (-.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 2)) (/.f64 1 (pow.f64 (log.f64 x) 3))))) (/.f64 1 (log.f64 x)))
(fma.f64 -1 (/.f64 x (pow.f64 (log.f64 x) 2)) (fma.f64 (*.f64 x x) (+.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 2)) (/.f64 -1 (pow.f64 (log.f64 x) 3))) (/.f64 -1 (log.f64 x))))
(-.f64 (fma.f64 (*.f64 x x) (+.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 2)) (/.f64 -1 (pow.f64 (log.f64 x) 3))) (/.f64 -1 (log.f64 x))) (/.f64 x (pow.f64 (log.f64 x) 2)))
(fma.f64 x (fma.f64 x (/.f64 1/2 (pow.f64 (log.f64 x) 2)) (/.f64 (neg.f64 x) (pow.f64 (log.f64 x) 3))) (*.f64 (+.f64 (/.f64 x (log.f64 x)) 1) (/.f64 -1 (log.f64 x))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (log.f64 x) 3))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (log.f64 x) 2))) (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (log.f64 x) 2))) (/.f64 1 (pow.f64 (log.f64 x) 3))) (log.f64 x))))) (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (log.f64 x) 2))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (log.f64 x) 2))) (/.f64 1 (pow.f64 (log.f64 x) 3))) (pow.f64 x 2)))) (/.f64 1 (log.f64 x)))
(-.f64 (fma.f64 (-.f64 (-.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 3)) (/.f64 1/3 (pow.f64 (log.f64 x) 2))) (neg.f64 (/.f64 (-.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 2)) (/.f64 1 (pow.f64 (log.f64 x) 3))) (log.f64 x)))) (pow.f64 x 3) (fma.f64 -1 (/.f64 x (pow.f64 (log.f64 x) 2)) (.f64 (.f64 x x) (-.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 2)) (/.f64 1 (pow.f64 (log.f64 x) 3)))))) (/.f64 1 (log.f64 x)))
(fma.f64 (pow.f64 x 3) (-.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 3)) (-.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 2)) (-.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 3)) (/.f64 1 (.f64 (log.f64 x) (pow.f64 (log.f64 x) 3)))))) (fma.f64 -1 (/.f64 x (pow.f64 (log.f64 x) 2)) (fma.f64 (.f64 x x) (+.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 2)) (/.f64 -1 (pow.f64 (log.f64 x) 3))) (/.f64 -1 (log.f64 x)))))
(fma.f64 (pow.f64 x 3) (+.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 3)) (+.f64 (+.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 3)) (/.f64 -1 (.f64 (log.f64 x) (pow.f64 (log.f64 x) 3)))) (/.f64 -1/3 (pow.f64 (log.f64 x) 2)))) (-.f64 (fma.f64 (.f64 x x) (+.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 2)) (/.f64 -1 (pow.f64 (log.f64 x) 3))) (/.f64 -1 (log.f64 x))) (/.f64 x (pow.f64 (log.f64 x) 2))))
(fma.f64 x (.f64 x (fma.f64 x (+.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 3)) (+.f64 (+.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 3)) (/.f64 -1 (pow.f64 (log.f64 x) 4))) (/.f64 -1/3 (pow.f64 (log.f64 x) 2)))) (+.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 2)) (/.f64 -1 (pow.f64 (log.f64 x) 3))))) (.f64 (+.f64 (/.f64 x (log.f64 x)) 1) (/.f64 -1 (log.f64 x))))
x
(+.f64 1/2 x)
(+.f64 x 1/2)
(-.f64 (+.f64 1/2 x) (*.f64 1/12 (/.f64 1 x)))
(+.f64 1/2 (-.f64 x (/.f64 1/12 x)))
(+.f64 x (+.f64 1/2 (/.f64 -1/12 x)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 x 2))) x)) (.f64 1/12 (/.f64 1 x)))
(+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/24 (*.f64 x x))) (/.f64 1/12 x)))
(+.f64 1/2 (+.f64 (/.f64 1/24 (*.f64 x x)) (+.f64 x (/.f64 -1/12 x))))
(+.f64 x (+.f64 (+.f64 1/2 (/.f64 1/24 (*.f64 x x))) (/.f64 -1/12 x)))
x
(+.f64 1/2 x)
(+.f64 x 1/2)
(-.f64 (+.f64 1/2 x) (*.f64 1/12 (/.f64 1 x)))
(+.f64 1/2 (-.f64 x (/.f64 1/12 x)))
(+.f64 x (+.f64 1/2 (/.f64 -1/12 x)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 x 2))) x)) (.f64 1/12 (/.f64 1 x)))
(+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/24 (*.f64 x x))) (/.f64 1/12 x)))
(+.f64 1/2 (+.f64 (/.f64 1/24 (*.f64 x x)) (+.f64 x (/.f64 -1/12 x))))
(+.f64 x (+.f64 (+.f64 1/2 (/.f64 1/24 (*.f64 x x))) (/.f64 -1/12 x)))

localize3.0ms (0%)

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

localize10.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))

Compiler

Compiled 20 to 10 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite128.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

611×	`pow1_binary64`
562×	`add-log-exp_binary64`
562×	`log1p-expm1-u_binary64`
562×	`expm1-log1p-u_binary64`
550×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	158	6
2	1957	6

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))

Outputs

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

simplify111.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

766×	`fma-neg_binary64`
705×	`div-sub_binary64`
639×	`associate--l+_binary64`
488×	`distribute-rgt-in_binary64`
453×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	192
1	36	192
2	62	192
3	111	192
4	232	192
5	618	192
6	2041	192
7	3615	192
8	4088	192
9	4466	192
10	5047	192
11	5667	192

Stop Event

1×	node limit

Counts

46 → 25

Calls

Call 1

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

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

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (log1p.f64 x) n)
✓	0.3b	(*.f64 n (log.f64 x))
✓	2.7b	(-.f64 (.f64 (log1p.f64 x) n) (.f64 n (log.f64 x)))
✓	19.0b	(/.f64 (-.f64 (.f64 (log1p.f64 x) n) (.f64 n (log.f64 x))) (*.f64 n n))

Compiler

Compiled 41 to 9 computations (78% saved)

series12.0ms (0%)

Counts

4 → 80

Calls

24 calls:

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

rewrite105.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`log-prod_binary64`
442×	`fma-def_binary64`
420×	`pow-prod-down_binary64`
301×	`pow2_binary64`
239×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	46
1	227	40
2	3358	37

Stop Event

1×	node limit

Counts

4 → 274

Calls

Call 1

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

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

simplify111.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

514×	`associate-/r*_binary64`
453×	`fma-def_binary64`
443×	`fma-neg_binary64`
425×	`associate-l_binary64`
319×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	1170
1	312	1108
2	892	1064
3	2584	1023

Stop Event

1×	node limit

Counts

354 → 332

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 n -1/2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))
✓	0.1b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))
	2.7b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 39 to 13 computations (66.7% saved)

series9.0ms (0%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	n	@	-inf	(*.f64 (pow.f64 n -1/2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))
1.0ms	n	@	-inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))
1.0ms	n	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))
1.0ms	n	@	0	(*.f64 (pow.f64 n -1/2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))
1.0ms	x	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))

rewrite132.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`prod-diff_binary64`
596×	`log-prod_binary64`
311×	`pow2_binary64`
232×	`fma-def_binary64`
216×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	243	27
2	3349	27

Stop Event

1×	node limit

Counts

2 → 229

Calls

Call 1

Inputs
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))
(*.f64 (pow.f64 n -1/2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))

Outputs

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

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

simplify97.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

600×	`distribute-neg-frac_binary64`
561×	`associate-/r*_binary64`
540×	`times-frac_binary64`
420×	`associate-*l/_binary64`
310×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	861
1	211	794
2	600	730
3	1905	656
4	6979	656

Stop Event

1×	node limit

Counts

265 → 264

Calls

Call 1

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

eval801.0ms (2.4%)

Compiler: Compiled 20624 to 7650 computations (62.9% saved)

prune331.0ms (1%)

Pruning

38 alts after pruning (34 fresh and 4 done)

	Pruned	Kept	Total
New	826	10	836
Fresh	6	24	30
Picked	1	0	1
Done	2	4	6
Total	835	38	873

Error

0.0b

Counts

873 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	42.2b	(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))
	42.9b	(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
✓	37.0b	(-.f64 1 1)
	42.3b	(/.f64 (-.f64 x (log.f64 x)) n)
✓	42.2b	(/.f64 (neg.f64 (log.f64 x)) n)
	40.7b	(/.f64 (/.f64 1 n) x)
	52.4b	(.f64 (/.f64 1 (sqrt.f64 (.f64 x n))) (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))))
	17.8b	(/.f64 (/.f64 1 n) (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1/2) 2))
	29.2b	(-.f64 0 (log.f64 (/.f64 (exp.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
	18.0b	(/.f64 (/.f64 1 n) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 3))
	36.8b	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
	17.9b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	44.2b	(/.f64 (.f64 n (neg.f64 (log.f64 x))) (.f64 n n))
	18.0b	(/.f64 (/.f64 1 n) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) -3))
	56.2b	(-.f64 (exp.f64 (/.f64 x n)) 1)
	42.6b	(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 x)) n)) 3)
	28.7b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
	38.0b	(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (*.f64 x n) 3)))
✓	42.2b	(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
	40.7b	(/.f64 (/.f64 1 n) (/.f64 1 (/.f64 1 x)))
	49.1b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	41.8b	(/.f64 (/.f64 n x) (*.f64 n n))
	41.0b	(/.f64 (+.f64 1 (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 (+.f64 (/.f64 (.f64 (log.f64 x) 1/2) n) 1) (/.f64 (log.f64 x) n)))) (*.f64 x n))
	40.7b	(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) x))
	27.7b	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
	34.8b	(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)))
	42.3b	(log.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))
	40.7b	(/.f64 (/.f64 1 x) n)
✓	61.1b	(/.f64 x n)
	29.2b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	27.2b	(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))
	56.4b	(-.f64 (+.f64 (/.f64 x n) 1) 1)
	38.3b	(/.f64 (/.f64 1 n) (+.f64 x 1/2))
	42.3b	(/.f64 (/.f64 1 n) (/.f64 -1 (log.f64 x)))
	42.2b	(pow.f64 (/.f64 (neg.f64 n) (log.f64 x)) -1)
	41.1b	(/.f64 1 (*.f64 x n))
	29.2b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3))
	53.8b	(*.f64 (pow.f64 n -1/2) (/.f64 (neg.f64 (log.f64 x)) (sqrt.f64 n)))

Compiler

Compiled 503 to 351 computations (30.2% saved)

regimes724.0ms (2.2%)

Counts

67 → 6

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 x n)
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 n x) (*.f64 n n))
(/.f64 (/.f64 1 n) (+.f64 x 1/2))
(-.f64 (+.f64 (/.f64 x n) 1) 1)
(-.f64 (+.f64 (/.f64 x n) 1) 1)
(/.f64 (/.f64 1 n) (/.f64 1 (/.f64 1 x)))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 n) x))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(log.f64 1)
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) 1)
(/.f64 (-.f64 x (log.f64 x)) n)
(pow.f64 (*.f64 n (+.f64 x 1/2)) -1)
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
(/.f64 (/.f64 1 n) (/.f64 -1 (log.f64 x)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (.f64 n (neg.f64 (log.f64 x))) (.f64 n n))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) x))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (/.f64 (neg.f64 n) (log.f64 x)) -1)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (/.f64 1 n) (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (-.f64 (.f64 (log1p.f64 x) n) (.f64 n (log.f64 x))) (*.f64 n n))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 x)) n)) 3)
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(*.f64 (pow.f64 n -1/2) (/.f64 (neg.f64 (log.f64 x)) (sqrt.f64 n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2)
(.f64 (/.f64 1 (sqrt.f64 (.f64 x n))) (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))))
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(log.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
(/.f64 (/.f64 1 n) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) -3))
(*.f64 (pow.f64 n -1/2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))
(/.f64 (/.f64 1 n) (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1/2) 2))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))
(/.f64 (/.f64 1 n) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 3))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (*.f64 x n) 3)))
(pow.f64 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)) -1)
(pow.f64 (/.f64 n (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))) -1)
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
(/.f64 (+.f64 1 (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (.f64 (+.f64 (/.f64 (.f64 (log.f64 x) 1/2) n) 1) (/.f64 (log.f64 x) n)))) (*.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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(-.f64 0 (log.f64 (/.f64 (exp.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))

Outputs
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (/.f64 1 n) (+.f64 x 1/2))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 0 (log.f64 (/.f64 (exp.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (exp.f64 (/.f64 (log1p.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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

Calls

6 calls:

280.0ms	n
122.0ms	(/.f64 1 n)
117.0ms	x
110.0ms	(/.f64 1 n)
14.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
7.7b	2	`x`
6.9b	6	`n`
10.6b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
10.6b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
9.1b	3	`(/.f64 1 n)`
9.1b	3	`(/.f64 1 n)`

Compiler

Compiled 813 to 404 computations (50.3% saved)

bsearch988.0ms (3%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
123.0ms	9.111207859664332e+52	2.0912713905825967e+53
106.0ms	120.07868581254682	237.93794901221744
92.0ms	-9.764986778507757e+23	-667120695746.9703
367.0ms	-1.0495287479582049e+49	-3.893879467895634e+48
300.0ms	-1.7257384608900953e+85	-1.5065145369403678e+80

Compiler

Compiled 20 to 15 computations (25% saved)

regimes913.0ms (2.8%)

Counts

62 → 6

Calls

Call 1

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

Outputs
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (/.f64 1 n) (+.f64 x 1/2))
(/.f64 (-.f64 x (log.f64 x)) n)
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

Calls

6 calls:

463.0ms	n
178.0ms	x
118.0ms	(/.f64 1 n)
102.0ms	(/.f64 1 n)
15.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
7.7b	2	`x`
6.9b	6	`n`
10.6b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
10.6b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
9.1b	3	`(/.f64 1 n)`
9.1b	3	`(/.f64 1 n)`

Compiler

Compiled 673 to 339 computations (49.6% saved)

bsearch633.0ms (1.9%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
135.0ms	9.111207859664332e+52	2.0912713905825967e+53
88.0ms	120.07868581254682	237.93794901221744
112.0ms	-9.764986778507757e+23	-667120695746.9703
148.0ms	-1.0495287479582049e+49	-3.893879467895634e+48
150.0ms	-1.7257384608900953e+85	-1.5065145369403678e+80

Compiler

Compiled 20 to 15 computations (25% saved)

regimes743.0ms (2.2%)

Counts

61 → 6

Calls

Call 1

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

Outputs
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (/.f64 1 n) (+.f64 x 1/2))
(/.f64 (-.f64 x (log.f64 x)) n)
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

Calls

6 calls:

348.0ms	n
150.0ms	(/.f64 1 n)
114.0ms	x
95.0ms	(/.f64 1 n)
9.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
7.7b	2	`x`
6.9b	6	`n`
10.6b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
10.6b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
9.1b	3	`(/.f64 1 n)`
9.1b	3	`(/.f64 1 n)`

Compiler

Compiled 645 to 331 computations (48.7% saved)

bsearch734.0ms (2.2%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
95.0ms	9.111207859664332e+52	2.0912713905825967e+53
85.0ms	120.07868581254682	237.93794901221744
235.0ms	-9.764986778507757e+23	-667120695746.9703
136.0ms	-1.0495287479582049e+49	-3.893879467895634e+48
179.0ms	-1.7257384608900953e+85	-1.5065145369403678e+80

Compiler

Compiled 20 to 15 computations (25% saved)

regimes594.0ms (1.8%)

Counts

57 → 6

Calls

Call 1

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

Outputs
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (/.f64 1 n) (+.f64 x 1/2))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

Calls

6 calls:

264.0ms	n
107.0ms	(/.f64 1 n)
94.0ms	x
93.0ms	(/.f64 1 n)
9.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
7.7b	2	`x`
6.9b	6	`n`
10.6b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
10.6b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
9.1b	3	`(/.f64 1 n)`
9.1b	3	`(/.f64 1 n)`

Compiler

Compiled 576 to 297 computations (48.4% saved)

bsearch883.0ms (2.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
141.0ms	9.111207859664332e+52	2.0912713905825967e+53
92.0ms	120.07868581254682	237.93794901221744
138.0ms	-9.764986778507757e+23	-667120695746.9703
100.0ms	-1.0495287479582049e+49	-3.893879467895634e+48
411.0ms	-1.7257384608900953e+85	-1.5065145369403678e+80

Compiler

Compiled 20 to 15 computations (25% saved)

regimes328.0ms (1%)

Counts

40 → 6

Calls

Call 1

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

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

Calls

6 calls:

136.0ms	n
64.0ms	(/.f64 1 n)
59.0ms	(/.f64 1 n)
43.0ms	x
7.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
7.7b	2	`x`
7.3b	6	`n`
11.0b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
11.0b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
9.4b	3	`(/.f64 1 n)`
9.4b	3	`(/.f64 1 n)`

Compiler

Compiled 371 to 206 computations (44.5% saved)

bsearch522.0ms (1.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
94.0ms	9.111207859664332e+52	2.0912713905825967e+53
113.0ms	120.07868581254682	237.93794901221744
85.0ms	-9.764986778507757e+23	-667120695746.9703
101.0ms	-1.0495287479582049e+49	-3.893879467895634e+48
128.0ms	-1.7257384608900953e+85	-1.5065145369403678e+80

Compiler

Compiled 20 to 15 computations (25% saved)

regimes263.0ms (0.8%)

Counts

35 → 2

Calls

Call 1

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

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

Calls

4 calls:

113.0ms	n
53.0ms	(/.f64 1 n)
49.0ms	(/.f64 1 n)
39.0ms	x

Results

Error	Segments	Branch
7.7b	2	`x`
7.8b	6	`n`
9.4b	3	`(/.f64 1 n)`
9.4b	3	`(/.f64 1 n)`

Compiler

Compiled 283 to 155 computations (45.2% saved)

bsearch334.0ms (1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
334.0ms	0.0006717178323599576	596672.7070304281

Compiler

Compiled 245 to 177 computations (27.8% saved)

regimes242.0ms (0.7%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

4 calls:

72.0ms	n
71.0ms	(/.f64 1 n)
69.0ms	(/.f64 1 n)
23.0ms	x

Results

Error	Segments	Branch
8.2b	2	`x`
14.0b	5	`n`
14.0b	5	`(/.f64 1 n)`
14.0b	5	`(/.f64 1 n)`

Compiler

Compiled 179 to 110 computations (38.5% saved)

bsearch308.0ms (0.9%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
307.0ms	0.0006717178323599576	596672.7070304281

Compiler

Compiled 227 to 159 computations (30% saved)

regimes216.0ms (0.7%)

Counts

22 → 5

Calls

Call 1

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

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

Calls

4 calls:

53.0ms	(/.f64 1 n)
52.0ms	n
52.0ms	(/.f64 1 n)
52.0ms	x

Results

Error	Segments	Branch
14.6b	5	`x`
15.2b	5	`n`
15.2b	4	`(/.f64 1 n)`
15.2b	4	`(/.f64 1 n)`

Compiler

Compiled 161 to 99 computations (38.5% saved)

bsearch1.4s (4.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
710.0ms	3.6359091241769016e+160	5.057586166146124e+162
335.0ms	2.8915219858694076e+134	4.271557282199305e+134
193.0ms	9.21570392333022e+68	1.6131647805645082e+69
180.0ms	171682451.29519263	678618267.121476

Compiler

Compiled 343 to 283 computations (17.5% saved)

regimes480.0ms (1.5%)

Counts

20 → 5

Calls

Call 1

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

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

Calls

4 calls:

160.0ms	n
114.0ms	(/.f64 1 n)
104.0ms	(/.f64 1 n)
92.0ms	x

Results

Error	Segments	Branch
14.7b	5	`x`
20.3b	11	`n`
21.6b	8	`(/.f64 1 n)`
21.6b	8	`(/.f64 1 n)`

Compiler

Compiled 144 to 92 computations (36.1% saved)

bsearch1.1s (3.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
400.0ms	3.6359091241769016e+160	5.057586166146124e+162
214.0ms	2.8915219858694076e+134	4.271557282199305e+134
187.0ms	9.21570392333022e+68	1.6131647805645082e+69
315.0ms	0.0006717178323599576	596672.7070304281

Compiler

Compiled 409 to 329 computations (19.6% saved)

regimes263.0ms (0.8%)

Counts

16 → 5

Calls

Call 1

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

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

Calls

4 calls:

84.0ms	n
66.0ms	(/.f64 1 n)
61.0ms	(/.f64 1 n)
47.0ms	x

Results

Error	Segments	Branch
15.0b	5	`x`
20.5b	11	`n`
21.7b	8	`(/.f64 1 n)`
21.7b	8	`(/.f64 1 n)`

Compiler

Compiled 116 to 76 computations (34.5% saved)

bsearch975.0ms (2.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
394.0ms	3.6359091241769016e+160	5.057586166146124e+162
215.0ms	2.8915219858694076e+134	4.271557282199305e+134
186.0ms	9.21570392333022e+68	1.6131647805645082e+69
181.0ms	0.0006717178323599576	596672.7070304281

Compiler

Compiled 400 to 329 computations (17.8% saved)

regimes77.0ms (0.2%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

3 calls:

34.0ms	x
22.0ms	n
16.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
31.9b	4	`x`
25.8b	3	`n`
25.8b	2	`(/.f64 1 n)`

Compiler

Compiled 100 to 66 computations (34% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5289594.414851934	-0.015003692041778675

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes59.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

4 calls:

23.0ms	x
14.0ms	n
10.0ms	(/.f64 1 n)
9.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
34.2b	4	`x`
28.0b	3	`n`
28.1b	2	`(/.f64 1 n)`
28.1b	2	`(/.f64 1 n)`

Compiler

Compiled 51 to 33 computations (35.3% saved)

bsearch120.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	1.7138927299584647e-37	1.8426727006533312e-34
84.0ms	-66.65026162996683	-1.8905041134954238e-7

Compiler

Compiled 160 to 135 computations (15.6% saved)

regimes42.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	x
12.0ms	n
9.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
34.2b	4	`x`
28.0b	3	`n`
28.1b	2	`(/.f64 1 n)`

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch120.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	1.7138927299584647e-37	1.8426727006533312e-34
84.0ms	-66.65026162996683	-1.8905041134954238e-7

Compiler

Compiled 160 to 135 computations (15.6% saved)

regimes8.0ms (0%)

Accuracy

Total -24.6b remaining (-66.5%)

Threshold costs -24.6b (-66.5%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(-.f64 1 1)

Calls

2 calls:

4.0ms	n
3.0ms	x

Results

Error	Segments	Branch
37.0b	1	`x`
37.0b	1	`n`

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify37.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`*-commutative_binary64`
4×	`neg-mul-1_binary64`
3×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	895
1	134	895
2	146	895
3	152	895
4	154	895

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 n -17257384608900953309926919674563613814218474368333250977615926099242839980939107368960) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -10495287479582048546089961384297939722018091958272) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 n -976498677850775652139008) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 n 8449786323133199/70368744177664) (-.f64 0 (log.f64 (/.f64 (exp.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) (if (<=.f64 n 91112078596643319421241375414581458277188641493090304) (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))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))
(if (<=.f64 n -17257384608900953309926919674563613814218474368333250977615926099242839980939107368960) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -10495287479582048546089961384297939722018091958272) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 n -976498677850775652139008) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 n 8449786323133199/70368744177664) (log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (if (<=.f64 n 91112078596643319421241375414581458277188641493090304) (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))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))
(if (<=.f64 n -17257384608900953309926919674563613814218474368333250977615926099242839980939107368960) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -10495287479582048546089961384297939722018091958272) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 n -976498677850775652139008) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 n 8449786323133199/70368744177664) (log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (if (<=.f64 n 91112078596643319421241375414581458277188641493090304) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))
(if (<=.f64 n -17257384608900953309926919674563613814218474368333250977615926099242839980939107368960) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -10495287479582048546089961384297939722018091958272) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 n -976498677850775652139008) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 n 8449786323133199/70368744177664) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 n 91112078596643319421241375414581458277188641493090304) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))
(if (<=.f64 n -17257384608900953309926919674563613814218474368333250977615926099242839980939107368960) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -10495287479582048546089961384297939722018091958272) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 n -976498677850775652139008) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 n 8449786323133199/70368744177664) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 n 91112078596643319421241375414581458277188641493090304) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))
(if (<=.f64 x 580000) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)))
(if (<=.f64 x 580000) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))
(if (<=.f64 x 220000000) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 x 1599999999999999924488355602210668907060020661645787176486745975816192) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 x 290000000000000011525296777386782719889571002546621594304092883057684854444409520026762288595092875516320505179560325680633020562800640) (-.f64 1 1) (if (<=.f64 x 4999999999999999689249698190581987332252625797194839926878626579613429294411825012464277484820215304674499898109471065015912635469543246678814949603507757006192640) (/.f64 (/.f64 1 x) n) (-.f64 1 1)))))
(if (<=.f64 x 580000) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 1599999999999999924488355602210668907060020661645787176486745975816192) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 x 290000000000000011525296777386782719889571002546621594304092883057684854444409520026762288595092875516320505179560325680633020562800640) (-.f64 1 1) (if (<=.f64 x 4999999999999999689249698190581987332252625797194839926878626579613429294411825012464277484820215304674499898109471065015912635469543246678814949603507757006192640) (/.f64 (/.f64 1 x) n) (-.f64 1 1)))))
(if (<=.f64 x 1261007895663739/4503599627370496) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 1599999999999999924488355602210668907060020661645787176486745975816192) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 x 290000000000000011525296777386782719889571002546621594304092883057684854444409520026762288595092875516320505179560325680633020562800640) (-.f64 1 1) (if (<=.f64 x 4999999999999999689249698190581987332252625797194839926878626579613429294411825012464277484820215304674499898109471065015912635469543246678814949603507757006192640) (/.f64 (/.f64 1 x) n) (-.f64 1 1)))))
(if (<=.f64 (/.f64 1 n) -5000000) (-.f64 1 1) (/.f64 (/.f64 1 n) (+.f64 x 1/2)))
(if (<=.f64 n -4340400890148801/9007199254740992) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 4190417494555165/23945242826029513411849172299223580994042798784118784) (-.f64 1 1) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -4340400890148801/9007199254740992) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 4190417494555165/23945242826029513411849172299223580994042798784118784) (-.f64 1 1) (/.f64 (/.f64 1 n) x)))
(-.f64 1 1)

Outputs
(if (<=.f64 n -17257384608900953309926919674563613814218474368333250977615926099242839980939107368960) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -10495287479582048546089961384297939722018091958272) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 n -976498677850775652139008) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 n 8449786323133199/70368744177664) (-.f64 0 (log.f64 (/.f64 (exp.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) (if (<=.f64 n 91112078596643319421241375414581458277188641493090304) (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))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))
(if (<=.f64 n -17257384608900953309926919674563613814218474368333250977615926099242839980939107368960) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -10495287479582048546089961384297939722018091958272) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 n -976498677850775652139008) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 n 8449786323133199/70368744177664) (neg.f64 (log.f64 (/.f64 (exp.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) (if (<=.f64 n 91112078596643319421241375414581458277188641493090304) (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 n x))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))
(if (<=.f64 n -17257384608900953309926919674563613814218474368333250977615926099242839980939107368960) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -10495287479582048546089961384297939722018091958272) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 n -976498677850775652139008) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 n 8449786323133199/70368744177664) (log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (if (<=.f64 n 91112078596643319421241375414581458277188641493090304) (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))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))
(if (<=.f64 n -17257384608900953309926919674563613814218474368333250977615926099242839980939107368960) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -10495287479582048546089961384297939722018091958272) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 n -976498677850775652139008) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 n 8449786323133199/70368744177664) (log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (if (<=.f64 n 91112078596643319421241375414581458277188641493090304) (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 n x))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))
(if (<=.f64 n -17257384608900953309926919674563613814218474368333250977615926099242839980939107368960) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -10495287479582048546089961384297939722018091958272) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 n -976498677850775652139008) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 n 8449786323133199/70368744177664) (log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (if (<=.f64 n 91112078596643319421241375414581458277188641493090304) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))
(if (<=.f64 n -17257384608900953309926919674563613814218474368333250977615926099242839980939107368960) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -10495287479582048546089961384297939722018091958272) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 n -976498677850775652139008) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 n 8449786323133199/70368744177664) (log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (if (<=.f64 n 91112078596643319421241375414581458277188641493090304) (*.f64 (/.f64 1 n) (/.f64 (pow.f64 x (/.f64 1 n)) x)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))
(if (<=.f64 n -17257384608900953309926919674563613814218474368333250977615926099242839980939107368960) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -10495287479582048546089961384297939722018091958272) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 n -976498677850775652139008) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 n 8449786323133199/70368744177664) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 n 91112078596643319421241375414581458277188641493090304) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))
(if (<=.f64 n -17257384608900953309926919674563613814218474368333250977615926099242839980939107368960) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -10495287479582048546089961384297939722018091958272) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 n -976498677850775652139008) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 n 8449786323133199/70368744177664) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 n 91112078596643319421241375414581458277188641493090304) (*.f64 (/.f64 1 n) (/.f64 (pow.f64 x (/.f64 1 n)) x)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))
(if (<=.f64 n -17257384608900953309926919674563613814218474368333250977615926099242839980939107368960) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -10495287479582048546089961384297939722018091958272) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 n -976498677850775652139008) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 n 8449786323133199/70368744177664) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 n 91112078596643319421241375414581458277188641493090304) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))
(if (<=.f64 n -17257384608900953309926919674563613814218474368333250977615926099242839980939107368960) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -10495287479582048546089961384297939722018091958272) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 n -976498677850775652139008) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 n 8449786323133199/70368744177664) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 n 91112078596643319421241375414581458277188641493090304) (*.f64 (/.f64 1 n) (/.f64 (pow.f64 x (/.f64 1 n)) x)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))
(if (<=.f64 x 580000) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)))
(if (<=.f64 x 580000) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (*.f64 (/.f64 1 n) (/.f64 (pow.f64 x (/.f64 1 n)) x)))
(if (<=.f64 x 580000) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))
(if (<=.f64 x 580000) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n x)))
(if (<=.f64 x 220000000) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 x 1599999999999999924488355602210668907060020661645787176486745975816192) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 x 290000000000000011525296777386782719889571002546621594304092883057684854444409520026762288595092875516320505179560325680633020562800640) (-.f64 1 1) (if (<=.f64 x 4999999999999999689249698190581987332252625797194839926878626579613429294411825012464277484820215304674499898109471065015912635469543246678814949603507757006192640) (/.f64 (/.f64 1 x) n) (-.f64 1 1)))))
(if (<=.f64 x 220000000) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 x 1599999999999999924488355602210668907060020661645787176486745975816192) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 x 290000000000000011525296777386782719889571002546621594304092883057684854444409520026762288595092875516320505179560325680633020562800640) 0 (if (<=.f64 x 4999999999999999689249698190581987332252625797194839926878626579613429294411825012464277484820215304674499898109471065015912635469543246678814949603507757006192640) (/.f64 (/.f64 1 x) n) 0))))
(if (<=.f64 x 580000) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 1599999999999999924488355602210668907060020661645787176486745975816192) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 x 290000000000000011525296777386782719889571002546621594304092883057684854444409520026762288595092875516320505179560325680633020562800640) (-.f64 1 1) (if (<=.f64 x 4999999999999999689249698190581987332252625797194839926878626579613429294411825012464277484820215304674499898109471065015912635469543246678814949603507757006192640) (/.f64 (/.f64 1 x) n) (-.f64 1 1)))))
(if (<=.f64 x 580000) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 1599999999999999924488355602210668907060020661645787176486745975816192) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 x 290000000000000011525296777386782719889571002546621594304092883057684854444409520026762288595092875516320505179560325680633020562800640) 0 (if (<=.f64 x 4999999999999999689249698190581987332252625797194839926878626579613429294411825012464277484820215304674499898109471065015912635469543246678814949603507757006192640) (/.f64 (/.f64 1 x) n) 0))))
(if (<=.f64 x 1261007895663739/4503599627370496) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 1599999999999999924488355602210668907060020661645787176486745975816192) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 x 290000000000000011525296777386782719889571002546621594304092883057684854444409520026762288595092875516320505179560325680633020562800640) (-.f64 1 1) (if (<=.f64 x 4999999999999999689249698190581987332252625797194839926878626579613429294411825012464277484820215304674499898109471065015912635469543246678814949603507757006192640) (/.f64 (/.f64 1 x) n) (-.f64 1 1)))))
(if (<=.f64 x 1261007895663739/4503599627370496) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 1599999999999999924488355602210668907060020661645787176486745975816192) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 x 290000000000000011525296777386782719889571002546621594304092883057684854444409520026762288595092875516320505179560325680633020562800640) 0 (if (<=.f64 x 4999999999999999689249698190581987332252625797194839926878626579613429294411825012464277484820215304674499898109471065015912635469543246678814949603507757006192640) (/.f64 (/.f64 1 x) n) 0))))
(if (<=.f64 (/.f64 1 n) -5000000) (-.f64 1 1) (/.f64 (/.f64 1 n) (+.f64 x 1/2)))
(if (<=.f64 (/.f64 1 n) -5000000) 0 (/.f64 (/.f64 1 n) (+.f64 x 1/2)))
(if (<=.f64 n -4340400890148801/9007199254740992) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 4190417494555165/23945242826029513411849172299223580994042798784118784) (-.f64 1 1) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -4340400890148801/9007199254740992) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 4190417494555165/23945242826029513411849172299223580994042798784118784) 0 (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -4340400890148801/9007199254740992) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 4190417494555165/23945242826029513411849172299223580994042798784118784) (-.f64 1 1) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -4340400890148801/9007199254740992) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 4190417494555165/23945242826029513411849172299223580994042798784118784) 0 (/.f64 (/.f64 1 n) x)))
(-.f64 1 1)
0

Compiler

Compiled 628 to 414 computations (34.1% saved)

soundness1.0s (3.1%)

Algorithm

7×	egg-herbie

Rules

806×	`fma-def_binary64`
699×	`fma-def_binary64`
699×	`fma-def_binary64`
699×	`fma-def_binary64`
699×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	168	2445
1	521	2313
2	1781	2192
0	168	2445
1	521	2313
2	1781	2192
0	81	654
1	232	643
2	608	636
3	2024	604
0	168	2445
1	521	2313
2	1781	2192
0	65	604
1	174	594
2	459	590
3	1339	563
4	5015	557
0	168	2445
1	521	2313
2	1781	2192
0	168	2445
1	521	2313
2	1781	2192

Stop Event

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

Compiler

Compiled 1247 to 919 computations (26.3% saved)

end598.0ms (1.8%)

Compiler: Compiled 602 to 346 computations (42.5% saved)