Details

analyze327.0ms (1%)

Algorithm

1×

Search

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

Compiler

Compiled 16 to 12 computations (25% saved)

sample10.3s (31.7%)

Results

3.2s	2790×	body	1024	valid
2.4s	1751×	body	1024	invalid
1.8s	1748×	body	2048	valid
1.0s	2462×	body	256	invalid
817.0ms	1293×	body	512	valid
593.0ms	2425×	body	256	valid
545.0ms	981×	body	512	invalid
7.0ms	5×	body	2048	invalid

preprocess58.0ms (0.2%)

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)

simplify56.0ms (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

36.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.7b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize15.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x (/.f64 1 n))
✓	0.2b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓	1.5b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

series94.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
55.0ms	x	@	0	(pow.f64 x (/.f64 1 n))
19.0ms	x	@	-inf	(pow.f64 x (/.f64 1 n))
7.0ms	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)))
2.0ms	x	@	-inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite115.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	207	32
2	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 (+.f64 x 1) (/.f64 1 n))
(pow.f64 x (/.f64 1 n))

Outputs
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Outputs

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simplify69.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	2497
1	521	2313
2	1781	2192

Stop Event

1×	node limit

Counts

229 → 232

Calls

Call 1

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

eval132.0ms (0.4%)

Compiler: Compiled 7189 to 4323 computations (39.9% saved)

prune56.0ms (0.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	215	17	232
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	216	17	233

Error

0.7b

Counts

233 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	45.0b	(/.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))))
	26.3b	(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (+.f64 (/.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)) (.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))))
	36.3b	(-.f64 (expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n)))
	36.5b	(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
	22.2b	(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
	34.5b	(+.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 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)))))
▶	36.3b	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
▶	56.0b	(-.f64 (+.f64 1 (fma.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x) (/.f64 x n))) (pow.f64 x (/.f64 1 n)))
	25.5b	(-.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)))))
	21.5b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	33.4b	(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)))
	51.2b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	28.6b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	36.3b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	35.3b	(+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 11/24 n) n) (+.f64 (/.f64 1/24 (pow.f64 n 4)) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3))))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)))))
▶	21.5b	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
▶	45.2b	(-.f64 1 (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 868 to 570 computations (34.3% saved)

localize16.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
✓	2.9b	(log.f64 (+.f64 1 x))
✓	3.3b	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))

Compiler

Compiled 30 to 18 computations (40% saved)

series62.0ms (0.2%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
47.0ms	n	@	0	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
10.0ms	n	@	inf	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
2.0ms	x	@	-inf	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))
1.0ms	x	@	0	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
1.0ms	n	@	-inf	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)

rewrite133.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

619×	`prod-diff_binary64`
489×	`log-prod_binary64`
302×	`fma-def_binary64`
297×	`pow-prod-down_binary64`
262×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	197	22
2	2838	22

Stop Event

1×	node limit

Counts

3 → 307

Calls

Call 1

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

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(#(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)))))))

simplify78.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

851×	`fma-def_binary64`
464×	`associate-/r*_binary64`
329×	`associate-+l+_binary64`
246×	`associate-+r+_binary64`
242×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	658
1	247	622
2	682	618
3	2096	585
4	7598	585

Stop Event

1×	node limit

Counts

343 → 357

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

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x (/.f64 1 n))
✓	4.0b	(-.f64 1 (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 20 to 13 computations (35% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`pow1_binary64`
705×	`add-log-exp_binary64`
704×	`log1p-expm1-u_binary64`
704×	`expm1-log1p-u_binary64`
689×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	153	10
2	1936	10

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify35.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

828×	`associate-/l*_binary64`
564×	`associate-/r*_binary64`
538×	`fma-def_binary64`
525×	`associate-r_binary64`
448×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	426
1	119	420
2	299	408
3	1118	368

Stop Event

1×	node limit

Counts

52 → 40

Calls

Call 1

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

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

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x (/.f64 1 n))
✓	0.5b	(/.f64 1/2 (*.f64 n n))
✓	3.0b	(-.f64 (+.f64 1 (fma.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x) (/.f64 x n))) (pow.f64 x (/.f64 1 n)))
✓	11.3b	(fma.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x) (/.f64 x n))

Compiler

Compiled 99 to 48 computations (51.5% saved)

series9.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite104.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

773×	`fma-def_binary64`
381×	`fma-neg_binary64`
333×	`expm1-udef_binary64`
332×	`log1p-udef_binary64`
202×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	65
1	395	61
2	5759	61

Stop Event

1×	node limit

Counts

3 → 147

Calls

Call 1

Inputs

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

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

(/.f64 1/2 (*.f64 n n))

Outputs

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

simplify113.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-neg_binary64`
306×	`fma-def_binary64`
299×	`associate-/r/_binary64`
290×	`associate-+l+_binary64`
280×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	1631
1	292	1619
2	875	1350
3	3667	1298

Stop Event

1×	node limit

Counts

207 → 182

Calls

Call 1

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

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

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (/.f64 (log1p.f64 x) n))
✓	0.2b	(/.f64 (log1p.f64 x) n)
✓	0.3b	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
✓	1.7b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 65 to 31 computations (52.3% saved)

series53.0ms (0.2%)

Counts

4 → 92

Calls

24 calls:

Time	Variable		Point	Expression
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)
10.0ms	n	@	-inf	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
10.0ms	x	@	inf	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
5.0ms	n	@	inf	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
5.0ms	x	@	0	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)

rewrite197.0ms (0.6%)

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	48
1	308	48
2	3544	48

Stop Event

1×	node limit

Counts

4 → 322

Calls

Call 1

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

Outputs
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simplify183.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

522×	`associate-r_binary64`
495×	`fma-def_binary64`
460×	`times-frac_binary64`
400×	`associate-l_binary64`
398×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	586	10258
1	2018	9638

Stop Event

1×	node limit

Counts

414 → 346

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

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(exp.f64 (/.f64 (log1p.f64 x) n))
	0.2b	(/.f64 (log1p.f64 x) n)
✓	0.5b	(/.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))))
✓	3.1b	(-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n))))

Compiler

Compiled 97 to 48 computations (50.5% saved)

series34.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	n	@	0	(/.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))))
4.0ms	n	@	inf	(-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n))))
4.0ms	x	@	-inf	(/.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))))
4.0ms	x	@	inf	(/.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))))
3.0ms	x	@	0	(/.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))))

rewrite144.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`fma-def_binary64`
298×	`expm1-udef_binary64`
298×	`log1p-udef_binary64`
290×	`fma-neg_binary64`
278×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	59
1	362	37
2	5178	37

Stop Event

1×	node limit

Counts

2 → 242

Calls

Call 1

Inputs

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

Outputs

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

simplify213.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

574×	`fma-neg_binary64`
495×	`fma-def_binary64`
349×	`associate-/r*_binary64`
324×	`+-commutative_binary64`
308×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	500	7696
1	1754	7203
2	7728	7199

Stop Event

1×	node limit

Counts

290 → 323

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 1 (.f64 2 (/.f64 x n))) (exp.f64 (.f64 2 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) (pow.f64 x 2)) (+.f64 1 (.f64 2 (/.f64 x n)))) (exp.f64 (.f64 2 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 2 (/.f64 x n)) (.f64 (-.f64 (+.f64 (.f64 2/3 (/.f64 1 n)) (.f64 4/3 (/.f64 1 (pow.f64 n 3)))) (.f64 2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3))))) (exp.f64 (.f64 2 (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (+.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (.f64 2 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (.f64 n x)))) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (+.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (+.f64 (.f64 2 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (.f64 n x))) (+.f64 (.f64 2 (/.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)))) (pow.f64 x 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)))))) (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (+.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (+.f64 (.f64 2 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (.f64 n x))) (+.f64 (/.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 2 (/.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)))) (pow.f64 x 2))) (+.f64 (.f64 2 (/.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 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (-.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)))))))) (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2) (exp.f64 (.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2) (.f64 n x))) (pow.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2)) (exp.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))))
(-.f64 (+.f64 (/.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 (.f64 2 (/.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)))) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2) (.f64 n x))) (pow.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2)))) (exp.f64 (.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (/.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)) (.f64 2 (.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))))) (pow.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2)))) (pow.f64 x 3))) (+.f64 (/.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 (.f64 2 (/.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)))) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2) (.f64 n x))) (pow.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2))))) (exp.f64 (.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))))
(-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))))
(/.f64 (-.f64 (.f64 2 (log.f64 (+.f64 1 x))) (.f64 2 (log.f64 x))) n)
(-.f64 (+.f64 (.f64 2 (/.f64 (log.f64 (+.f64 1 x)) n)) (.f64 2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)))) (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 2 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 (log.f64 (+.f64 1 x)) n)) (.f64 2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)))))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 2 (/.f64 (log.f64 x) n)))))
(-.f64 (+.f64 (.f64 2 (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (.f64 1/12 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3)) (.f64 1/3 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))))))))) (+.f64 (.f64 2/3 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 2 (/.f64 (log.f64 x) n))))))
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(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 (log.f64 (+.f64 1 x)) 4)) (+.f64 (.f64 1/12 (pow.f64 (log.f64 (+.f64 1 x)) 4)) (.f64 1/3 (pow.f64 (log.f64 (+.f64 1 x)) 4)))) (.f64 2/3 (pow.f64 (log.f64 x) 4))) (pow.f64 n 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (.f64 -1 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/3 (pow.f64 (log.f64 (+.f64 1 x)) 3))) (.f64 -4/3 (pow.f64 (log.f64 x) 3)))) (+.f64 (.f64 1/4 (.f64 (+.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2))) (-.f64 (.f64 -2 (log.f64 (+.f64 1 x))) (.f64 -2 (log.f64 x))))) (.f64 1/2 (.f64 (+.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) (-.f64 (.f64 1/2 (-.f64 (.f64 2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 2 (pow.f64 (log.f64 x) 2)))) (.f64 1/4 (.f64 (+.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) (-.f64 (.f64 -2 (log.f64 (+.f64 1 x))) (.f64 -2 (log.f64 x)))))))))) (pow.f64 n 3))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 2 (pow.f64 (log.f64 x) 2))) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (-.f64 (.f64 -2 (log.f64 (+.f64 1 x))) (.f64 -2 (log.f64 x))) n))))) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) (-.f64 (.f64 -2 (log.f64 (+.f64 1 x))) (.f64 -2 (log.f64 x)))) (pow.f64 n 2))) (+.f64 (.f64 1/4 (/.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 -2 (log.f64 (+.f64 1 x))) (.f64 -2 (log.f64 x)))) (pow.f64 n 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2))) (-.f64 (.f64 1/2 (-.f64 (.f64 2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 2 (pow.f64 (log.f64 x) 2)))) (.f64 1/4 (.f64 (+.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) (-.f64 (.f64 -2 (log.f64 (+.f64 1 x))) (.f64 -2 (log.f64 x))))))) (pow.f64 n 4))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (.f64 -1 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/3 (pow.f64 (log.f64 (+.f64 1 x)) 3))) (.f64 -4/3 (pow.f64 (log.f64 x) 3)))) (+.f64 (.f64 1/4 (.f64 (+.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2))) (-.f64 (.f64 -2 (log.f64 (+.f64 1 x))) (.f64 -2 (log.f64 x))))) (.f64 1/2 (.f64 (+.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) (-.f64 (.f64 1/2 (-.f64 (.f64 2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 2 (pow.f64 (log.f64 x) 2)))) (.f64 1/4 (.f64 (+.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) (-.f64 (.f64 -2 (log.f64 (+.f64 1 x))) (.f64 -2 (log.f64 x)))))))))) (+.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x)))) (pow.f64 n 4)))))))

Outputs
(-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))))
(-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)))
(-.f64 1 (pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2))
(-.f64 (+.f64 1 (.f64 2 (/.f64 x n))) (exp.f64 (.f64 2 (/.f64 (log.f64 x) n))))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x n)) (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))))
(-.f64 (fma.f64 2 (/.f64 x n) 1) (pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) (pow.f64 x 2)) (+.f64 1 (.f64 2 (/.f64 x n)))) (exp.f64 (.f64 2 (/.f64 (log.f64 x) n))))
(-.f64 (fma.f64 (-.f64 (/.f64 2 (.f64 n n)) (/.f64 1 n)) (.f64 x x) (+.f64 1 (*.f64 2 (/.f64 x n)))) (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 (+.f64 (/.f64 2 (.f64 n n)) (/.f64 -1 n)) (.f64 x x) (fma.f64 2 (/.f64 x n) 1)) (pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 2 (/.f64 x n)) (.f64 (-.f64 (+.f64 (.f64 2/3 (/.f64 1 n)) (.f64 4/3 (/.f64 1 (pow.f64 n 3)))) (.f64 2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3))))) (exp.f64 (.f64 2 (/.f64 (log.f64 x) n))))
(-.f64 (fma.f64 (-.f64 (/.f64 2 (.f64 n n)) (/.f64 1 n)) (.f64 x x) (+.f64 1 (fma.f64 2 (/.f64 x n) (.f64 (+.f64 (/.f64 2/3 n) (-.f64 (/.f64 4/3 (pow.f64 n 3)) (/.f64 2 (.f64 n n)))) (pow.f64 x 3))))) (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)))
(+.f64 (fma.f64 (+.f64 (/.f64 2 (.f64 n n)) (/.f64 -1 n)) (.f64 x x) 1) (-.f64 (fma.f64 2 (/.f64 x n) (.f64 (+.f64 (/.f64 2/3 n) (+.f64 (/.f64 4/3 (pow.f64 n 3)) (/.f64 -2 (.f64 n n)))) (pow.f64 x 3))) (pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2)))
(-.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)))
(-.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 1 (log.f64 x)) n)) 2) (pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2))
(-.f64 (+.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (.f64 2 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (.f64 n x)))) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) (-.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2)) (.f64 x n)) (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))))
(-.f64 (fma.f64 2 (/.f64 (pow.f64 (exp.f64 (/.f64 (.f64 1 (log.f64 x)) n)) 2) (.f64 x n)) (pow.f64 (exp.f64 (/.f64 (*.f64 1 (log.f64 x)) n)) 2)) (pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2))
(-.f64 (+.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (+.f64 (.f64 2 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (.f64 n x))) (+.f64 (.f64 2 (/.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)))) (pow.f64 x 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)))))) (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) (-.f64 (fma.f64 2 (/.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) (.f64 x n)) (fma.f64 2 (/.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)))) (/.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) (.f64 (.f64 n n) (.f64 x x))))) (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))))
(+.f64 (pow.f64 (exp.f64 (/.f64 (.f64 1 (log.f64 x)) n)) 2) (-.f64 (fma.f64 2 (/.f64 (pow.f64 (exp.f64 (/.f64 (.f64 1 (log.f64 x)) n)) 2) (.f64 x n)) (fma.f64 2 (.f64 (/.f64 (pow.f64 (exp.f64 (/.f64 (.f64 1 (log.f64 x)) n)) 2) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x)) (/.f64 (pow.f64 (exp.f64 (/.f64 (.f64 1 (log.f64 x)) n)) 2) (.f64 x (.f64 x (.f64 n n)))))) (pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2)))
(-.f64 (+.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (+.f64 (.f64 2 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (.f64 n x))) (+.f64 (/.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 2 (/.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)))) (pow.f64 x 2))) (+.f64 (.f64 2 (/.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 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (-.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)))))))) (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) (-.f64 (fma.f64 2 (/.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) (.f64 x n)) (+.f64 (fma.f64 2 (/.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) (/.f64 (.f64 x x) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)))) (/.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) (.f64 (.f64 n n) (.f64 x x)))) (.f64 2 (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) (/.f64 (.f64 n (pow.f64 x 3)) (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)))) (/.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (.f64 n n)))))))))) (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))))
(+.f64 (+.f64 (.f64 2 (+.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 (/.f64 (.f64 1 (log.f64 x)) n)) 2) n) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (pow.f64 x 3)) (.f64 (/.f64 (pow.f64 (exp.f64 (/.f64 (.f64 1 (log.f64 x)) n)) 2) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n)))))) (.f64 (/.f64 (pow.f64 (exp.f64 (/.f64 (.f64 1 (log.f64 x)) n)) 2) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) x)))) (fma.f64 2 (/.f64 (pow.f64 (exp.f64 (/.f64 (.f64 1 (log.f64 x)) n)) 2) (.f64 x n)) (/.f64 (pow.f64 (exp.f64 (/.f64 (.f64 1 (log.f64 x)) n)) 2) (.f64 x (.f64 x (.f64 n n)))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (.f64 1 (log.f64 x)) n)) 2) (pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2)))
(-.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2) (exp.f64 (.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))))
(-.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) 2) (pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))
(-.f64 (pow.f64 (exp.f64 2) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (pow.f64 (exp.f64 2) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2) (.f64 n x))) (pow.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2)) (exp.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))))
(-.f64 (fma.f64 2 (/.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) 2) (*.f64 x n)) (pow.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) 2)) (pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))
(-.f64 (fma.f64 2 (/.f64 (pow.f64 (exp.f64 2) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n)) (pow.f64 (exp.f64 2) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) (pow.f64 (exp.f64 2) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))
(-.f64 (+.f64 (/.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 (.f64 2 (/.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)))) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2) (.f64 n x))) (pow.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2)))) (exp.f64 (.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))))
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(+.f64 (fma.f64 -1 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 (pow.f64 (log1p.f64 x) 3) -4/3) (.f64 4/3 (pow.f64 (log.f64 x) 3)))) (fma.f64 1/4 (.f64 (.f64 -2 (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 1/2 (+.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))) (.f64 (.f64 1/2 (.f64 -1 (+.f64 (log.f64 x) (log1p.f64 x)))) (+.f64 (.f64 1/2 (.f64 2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (.f64 -1/4 (.f64 (.f64 -2 (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 -1 (+.f64 (log.f64 x) (log1p.f64 x))))))))) (pow.f64 n 3)) (fma.f64 1/2 (/.f64 (.f64 2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (.f64 n n)) (.f64 (/.f64 (.f64 -2 (-.f64 (log1p.f64 x) (log.f64 x))) n) -1/2))) (.f64 -1/4 (/.f64 (.f64 -1 (+.f64 (log.f64 x) (log1p.f64 x))) (/.f64 (.f64 n n) (*.f64 -2 (-.f64 (log1p.f64 x) (log.f64 x)))))))
(-.f64 (-.f64 (+.f64 (/.f64 (.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (.f64 n n))) (/.f64 (-.f64 (.f64 1/2 (.f64 -4/3 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (fma.f64 (.f64 -1/2 (+.f64 (log.f64 x) (log1p.f64 x))) (-.f64 (.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 x))))) (.f64 (.f64 -2 (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 1/8 (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))))) (pow.f64 n 3))) (/.f64 (.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (.f64 n n) (+.f64 (log.f64 x) (log1p.f64 x)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 (log.f64 (+.f64 1 x)) 4)) (+.f64 (.f64 1/12 (pow.f64 (log.f64 (+.f64 1 x)) 4)) (.f64 1/3 (pow.f64 (log.f64 (+.f64 1 x)) 4)))) (.f64 2/3 (pow.f64 (log.f64 x) 4))) (pow.f64 n 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (.f64 -1 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/3 (pow.f64 (log.f64 (+.f64 1 x)) 3))) (.f64 -4/3 (pow.f64 (log.f64 x) 3)))) (+.f64 (.f64 1/4 (.f64 (+.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2))) (-.f64 (.f64 -2 (log.f64 (+.f64 1 x))) (.f64 -2 (log.f64 x))))) (.f64 1/2 (.f64 (+.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) (-.f64 (.f64 1/2 (-.f64 (.f64 2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 2 (pow.f64 (log.f64 x) 2)))) (.f64 1/4 (.f64 (+.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) (-.f64 (.f64 -2 (log.f64 (+.f64 1 x))) (.f64 -2 (log.f64 x)))))))))) (pow.f64 n 3))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 2 (pow.f64 (log.f64 x) 2))) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (-.f64 (.f64 -2 (log.f64 (+.f64 1 x))) (.f64 -2 (log.f64 x))) n))))) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) (-.f64 (.f64 -2 (log.f64 (+.f64 1 x))) (.f64 -2 (log.f64 x)))) (pow.f64 n 2))) (+.f64 (.f64 1/4 (/.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 -2 (log.f64 (+.f64 1 x))) (.f64 -2 (log.f64 x)))) (pow.f64 n 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2))) (-.f64 (.f64 1/2 (-.f64 (.f64 2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 2 (pow.f64 (log.f64 x) 2)))) (.f64 1/4 (.f64 (+.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) (-.f64 (.f64 -2 (log.f64 (+.f64 1 x))) (.f64 -2 (log.f64 x))))))) (pow.f64 n 4))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (-.f64 (+.f64 (.f64 -1 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/3 (pow.f64 (log.f64 (+.f64 1 x)) 3))) (.f64 -4/3 (pow.f64 (log.f64 x) 3)))) (+.f64 (.f64 1/4 (.f64 (+.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2))) (-.f64 (.f64 -2 (log.f64 (+.f64 1 x))) (.f64 -2 (log.f64 x))))) (.f64 1/2 (.f64 (+.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) (-.f64 (.f64 1/2 (-.f64 (.f64 2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 2 (pow.f64 (log.f64 x) 2)))) (.f64 1/4 (.f64 (+.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) (-.f64 (.f64 -2 (log.f64 (+.f64 1 x))) (.f64 -2 (log.f64 x)))))))))) (+.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x)))) (pow.f64 n 4)))))))
(-.f64 (fma.f64 1/2 (/.f64 (+.f64 (fma.f64 1/4 (pow.f64 (log1p.f64 x) 4) (.f64 (pow.f64 (log1p.f64 x) 4) 5/12)) (.f64 -2/3 (pow.f64 (log.f64 x) 4))) (pow.f64 n 4)) (fma.f64 -1 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 (pow.f64 (log1p.f64 x) 3) -4/3) (.f64 4/3 (pow.f64 (log.f64 x) 3)))) (fma.f64 1/4 (.f64 (.f64 -2 (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 1/2 (+.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))) (.f64 (.f64 1/2 (.f64 -1 (+.f64 (log.f64 x) (log1p.f64 x)))) (+.f64 (.f64 1/2 (.f64 2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (.f64 -1/4 (.f64 (.f64 -2 (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 -1 (+.f64 (log.f64 x) (log1p.f64 x))))))))) (pow.f64 n 3)) (fma.f64 1/2 (/.f64 (.f64 2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (.f64 n n)) (.f64 (/.f64 (.f64 -2 (-.f64 (log1p.f64 x) (log.f64 x))) n) -1/2)))) (fma.f64 1/4 (/.f64 (.f64 -1 (+.f64 (log.f64 x) (log1p.f64 x))) (/.f64 (.f64 n n) (.f64 -2 (-.f64 (log1p.f64 x) (log.f64 x))))) (fma.f64 1/4 (/.f64 (.f64 -1/6 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (/.f64 (pow.f64 n 4) (.f64 -2 (-.f64 (log1p.f64 x) (log.f64 x))))) (.f64 1/2 (+.f64 (/.f64 (.f64 1/2 (+.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (/.f64 (pow.f64 n 4) (+.f64 (.f64 1/2 (.f64 2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (.f64 -1/4 (.f64 (.f64 -2 (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 -1 (+.f64 (log.f64 x) (log1p.f64 x)))))))) (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 (pow.f64 (log1p.f64 x) 3) -4/3) (.f64 4/3 (pow.f64 (log.f64 x) 3)))) (fma.f64 1/4 (.f64 (.f64 -2 (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 1/2 (+.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))) (.f64 (.f64 1/2 (.f64 -1 (+.f64 (log.f64 x) (log1p.f64 x)))) (+.f64 (.f64 1/2 (.f64 2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (.f64 -1/4 (.f64 (.f64 -2 (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 -1 (+.f64 (log.f64 x) (log1p.f64 x))))))))) (/.f64 (pow.f64 n 4) (.f64 -1 (+.f64 (log.f64 x) (log1p.f64 x))))))))))
(-.f64 (-.f64 (fma.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 (log1p.f64 x) 4) 2/3) (.f64 (pow.f64 (log.f64 x) 4) -2/3)) (pow.f64 n 4)) (-.f64 (+.f64 (/.f64 (.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (.f64 n n))) (/.f64 (-.f64 (.f64 1/2 (.f64 -4/3 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (fma.f64 (.f64 -1/2 (+.f64 (log.f64 x) (log1p.f64 x))) (-.f64 (.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 x))))) (.f64 (.f64 -2 (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 1/8 (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))))) (pow.f64 n 3)))) (/.f64 (.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (.f64 n n) (+.f64 (log.f64 x) (log1p.f64 x))))) (fma.f64 1/4 (/.f64 (.f64 -1/6 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (/.f64 (/.f64 (pow.f64 n 4) -2) (-.f64 (log1p.f64 x) (log.f64 x)))) (fma.f64 1/2 (.f64 (/.f64 (.f64 1/2 (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (pow.f64 n 4)) (-.f64 (.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 x)))))) (/.f64 (.f64 (.f64 -1/2 (+.f64 (log.f64 x) (log1p.f64 x))) (-.f64 (.f64 1/2 (.f64 -4/3 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (fma.f64 (.f64 -1/2 (+.f64 (log.f64 x) (log1p.f64 x))) (-.f64 (.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 x))))) (.f64 (.f64 -2 (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 1/8 (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))))) (pow.f64 n 4)))))
(-.f64 (-.f64 (fma.f64 1/2 (/.f64 (fma.f64 (pow.f64 (log1p.f64 x) 4) 2/3 (.f64 (pow.f64 (log.f64 x) 4) -2/3)) (pow.f64 n 4)) (-.f64 (+.f64 (/.f64 (.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (.f64 n n))) (/.f64 (-.f64 (.f64 1/2 (.f64 -4/3 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (fma.f64 (.f64 -1/2 (+.f64 (log.f64 x) (log1p.f64 x))) (-.f64 (.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 x))))) (.f64 (.f64 -2 (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 1/8 (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))))) (pow.f64 n 3)))) (/.f64 (.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (.f64 n n) (+.f64 (log.f64 x) (log1p.f64 x))))) (fma.f64 1/4 (/.f64 (.f64 -1/6 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (/.f64 (/.f64 (pow.f64 n 4) -2) (-.f64 (log1p.f64 x) (log.f64 x)))) (fma.f64 1/2 (.f64 (/.f64 (.f64 1/2 (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (pow.f64 n 4)) (-.f64 (.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 x)))))) (/.f64 (.f64 (.f64 -1/2 (+.f64 (log.f64 x) (log1p.f64 x))) (-.f64 (.f64 1/2 (.f64 -4/3 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (fma.f64 (.f64 -1/2 (+.f64 (log.f64 x) (log1p.f64 x))) (-.f64 (.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 x))))) (.f64 (.f64 -2 (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 1/8 (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))))) (pow.f64 n 4)))))

eval2.1s (6.3%)

Compiler: Compiled 73389 to 43458 computations (40.8% saved)

prune606.0ms (1.9%)

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	1595	27	1622
Fresh	9	3	12
Picked	1	0	1
Done	3	1	4
Total	1608	31	1639

Error

0.1b

Counts

1639 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	42.7b	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
	42.3b	(/.f64 (-.f64 (log.f64 x) (log.f64 x)) n)
	21.6b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
	21.7b	(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
▶	40.5b	(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
▶	21.5b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	40.6b	(/.f64 (neg.f64 (log.f64 x)) n)
	40.6b	(/.f64 (-.f64 x (log.f64 x)) n)
	36.3b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	21.5b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
	21.8b	(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	54.3b	(-.f64 (+.f64 1 (+.f64 (/.f64 x n) (.f64 (.f64 (/.f64 x n) x) (+.f64 (/.f64 1/2 n) -1/2)))) (pow.f64 x (/.f64 1 n)))
	38.2b	(+.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))))
	22.0b	(/.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 x)))) n)
	37.9b	(+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 x (.f64 x n))) (-.f64 (/.f64 1/3 x) 1/2)))
	50.8b	(pow.f64 (pow.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n))) 3) 1/3)
	37.8b	(/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4))))) n)
	50.8b	(pow.f64 (pow.f64 (-.f64 (pow.f64 (pow.f64 (E.f64) (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 1 n))) 3) 1/3)
	38.3b	(.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n)))
	21.4b	(/.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)))) n)
	21.3b	(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
	36.3b	(pow.f64 (pow.f64 (-.f64 (expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n))) 3) 1/3)
	37.3b	(/.f64 (/.f64 1 x) n)
	51.2b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	28.6b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
▶	37.8b	(/.f64 1 (*.f64 n x))
	37.9b	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) n)
▶	21.3b	(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 1 x)))) n)
✓	45.2b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	35.2b	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
▶	21.8b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n)

Compiler

Compiled 877 to 609 computations (30.6% saved)

localize38.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 1 x))
✓	0.1b	(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 1 x)))) n)
✓	2.9b	(log.f64 (/.f64 x (+.f64 1 x)))

Compiler

Compiled 35 to 23 computations (34.3% saved)

series46.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
28.0ms	n	@	0	(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 1 x)))) n)
9.0ms	n	@	inf	(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 1 x)))) n)
2.0ms	x	@	inf	(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 1 x)))) n)
1.0ms	x	@	0	(log.f64 (/.f64 x (+.f64 1 x)))
1.0ms	x	@	inf	(log.f64 (/.f64 x (+.f64 1 x)))

rewrite107.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

970×	`pow1_binary64`
902×	`add-log-exp_binary64`
902×	`log1p-expm1-u_binary64`
902×	`expm1-log1p-u_binary64`
99×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	197	26
2	2854	26

Stop Event

1×	node limit

Counts

3 → 125

Calls

Call 1

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

Outputs

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

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

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

simplify102.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-def_binary64`
512×	`sub-neg_binary64`
443×	`associate-/r*_binary64`
297×	`associate-l_binary64`
293×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	777
1	230	754
2	609	746
3	1800	691
4	7341	691

Stop Event

1×	node limit

Counts

173 → 171

Calls

Call 1

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

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

localize10.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 1 (*.f64 n x))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series7.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite56.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`pow1_binary64`
521×	`add-sqr-sqrt_binary64`
501×	`add-log-exp_binary64`
501×	`log1p-expm1-u_binary64`
501×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	119	7
2	1416	7

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

23 → 23

Calls

Call 1

Inputs

Outputs

localize11.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series5.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite82.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

468×	`log-prod_binary64`
358×	`fma-def_binary64`
346×	`exp-prod_binary64`
344×	`pow-prod-down_binary64`
235×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	163	15
2	2695	15

Stop Event

1×	node limit

Counts

2 → 215

Calls

Call 1

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

Outputs

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

simplify96.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

871×	`fma-neg_binary64`
469×	`distribute-rgt-in_binary64`
463×	`unsub-neg_binary64`
307×	`fma-def_binary64`
305×	`div-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	390
1	89	253
2	185	253
3	401	253
4	839	253
5	2329	253
6	4854	253
7	6628	253
8	7795	253

Stop Event

1×	node limit

Counts

247 → 225

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

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

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 x)
✓	0.2b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
✓	3.3b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series5.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite66.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	185	22
2	2435	22

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

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

Outputs

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

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

simplify71.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

859×	`fma-def_binary64`
467×	`associate-/r*_binary64`
325×	`associate-+l+_binary64`
251×	`associate-+r+_binary64`
244×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	790
1	256	754
2	695	750
3	2123	717
4	7656	717

Stop Event

1×	node limit

Counts

139 → 142

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

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

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n)
✓	0.3b	(cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
✓	0.4b	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)
	3.3b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 38 to 12 computations (68.4% saved)

series15.0ms (0%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)
1.0ms	x	@	0	(cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
1.0ms	n	@	0	(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n)

rewrite98.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

469×	`log-prod_binary64`
424×	`prod-diff_binary64`
351×	`exp-prod_binary64`
288×	`pow-prod-down_binary64`
249×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	219	29
2	2659	29

Stop Event

1×	node limit

Counts

3 → 199

Calls

Call 1

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

simplify86.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

693×	`fma-def_binary64`
472×	`*-commutative_binary64`
328×	`distribute-rgt-in_binary64`
324×	`distribute-lft-in_binary64`
301×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	166	1899
1	514	1868
2	1851	1837
3	6826	1834

Stop Event

1×	node limit

Counts

231 → 233

Calls

Call 1

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

eval352.0ms (1.1%)

Compiler: Compiled 15129 to 6902 computations (54.4% saved)

prune363.0ms (1.1%)

Pruning

45 alts after pruning (41 fresh and 4 done)

	Pruned	Kept	Total
New	820	25	845
Fresh	9	16	25
Picked	1	0	1
Done	1	4	5
Total	831	45	876

Error

0.1b

Counts

876 → 45

Alt Table

Click to see full alt table

Status	Error	Program
	42.7b	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
	42.3b	(/.f64 (neg.f64 (log.f64 1)) n)
	37.3b	(/.f64 (/.f64 1 n) x)
	21.6b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
	50.6b	(/.f64 (-.f64 (.f64 x (/.f64 n (log.f64 x))) n) (.f64 n (/.f64 n (log.f64 x))))
▶	60.9b	(/.f64 x n)
✓	40.5b	(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
▶	50.9b	(/.f64 (-.f64 (.f64 (neg.f64 x) n) (.f64 (neg.f64 n) (log.f64 x))) (*.f64 (neg.f64 n) n))
	40.6b	(/.f64 (-.f64 x (log.f64 x)) n)
	38.0b	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 n x)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 n x)) -1))
	54.0b	(/.f64 (-.f64 n (.f64 (/.f64 n x) (log.f64 x))) (.f64 (/.f64 n x) n))
	40.7b	(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
	40.6b	(/.f64 (neg.f64 (log.f64 x)) n)
	42.6b	(/.f64 (neg.f64 (log1p.f64 (-.f64 (/.f64 x (+.f64 x 1)) 1))) n)
	36.3b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	30.8b	(/.f64 (neg.f64 (+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2))) (log.f64 (cbrt.f64 (/.f64 x (+.f64 x 1)))))) n)
	54.3b	(-.f64 (+.f64 1 (+.f64 (/.f64 x n) (.f64 (.f64 (/.f64 x n) x) (+.f64 (/.f64 1/2 n) -1/2)))) (pow.f64 x (/.f64 1 n)))
	38.2b	(+.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))))
▶	37.4b	(+.f64 (/.f64 (/.f64 1 n) x) (*.f64 (/.f64 (/.f64 (/.f64 1 n) x) x) (-.f64 (/.f64 1/3 x) 1/2)))
▶	21.3b	(/.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))) (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))))) n)
	50.8b	(exp.f64 (neg.f64 (log.f64 (*.f64 n x))))
	50.8b	(pow.f64 (pow.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n))) 3) 1/3)
	37.8b	(/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4))))) n)
▶	40.9b	(/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) n)
	50.8b	(pow.f64 (pow.f64 (-.f64 (pow.f64 (pow.f64 (E.f64) (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 1 n))) 3) 1/3)
	38.3b	(.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n)))
	37.9b	(.f64 (/.f64 1 n) (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))))
	21.4b	(/.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))) n)
	37.9b	(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 -1/2 n) (*.f64 x x)))
	36.3b	(pow.f64 (pow.f64 (-.f64 (expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n))) 3) 1/3)
	37.3b	(*.f64 (/.f64 1 n) (/.f64 1 x))
	45.3b	(pow.f64 (pow.f64 (*.f64 n x) -1/2) 2)
	51.2b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	48.2b	(-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1)
	37.3b	(/.f64 (/.f64 1 x) n)
	28.6b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	37.9b	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) n)
	40.6b	(/.f64 1 (/.f64 n (-.f64 x (log.f64 x))))
✓	37.8b	(/.f64 1 (*.f64 n x))
✓	21.3b	(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 1 x)))) n)
	38.0b	(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) 3)
✓	45.2b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	35.2b	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
	21.3b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	37.9b	(+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 x (.f64 x n))) (-.f64 (/.f64 1/3 x) 1/2)))

Compiler

Compiled 1221 to 852 computations (30.2% saved)

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 x 1))
✓	0.0b	(sqrt.f64 (/.f64 x (+.f64 x 1)))
✓	0.1b	(/.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))) (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))))) n)
✓	2.9b	(log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))))

Compiler

Compiled 75 to 53 computations (29.3% saved)

series84.0ms (0.3%)

Counts

4 → 48

Calls

15 calls:

Time	Variable		Point	Expression
59.0ms	n	@	inf	(/.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))) (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))))) n)
15.0ms	n	@	0	(/.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))) (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))))) n)
2.0ms	x	@	0	(log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))))
2.0ms	x	@	-inf	(log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))))
1.0ms	x	@	0	(/.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))) (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))))) n)

rewrite129.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

813×	`pow1_binary64`
763×	`add-log-exp_binary64`
761×	`log1p-expm1-u_binary64`
761×	`expm1-log1p-u_binary64`
124×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	246	7
2	3831	7

Stop Event

1×	node limit

Counts

4 → 38

Calls

Call 1

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

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

simplify66.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

577×	`fma-neg_binary64`
540×	`cancel-sign-sub-inv_binary64`
394×	`fma-def_binary64`
360×	`associate-/r*_binary64`
349×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	1197
1	413	984
2	1476	928
3	4851	920

Stop Event

1×	node limit

Counts

86 → 97

Calls

Call 1

Inputs
(/.f64 -1/2 x)
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/6 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/6 (/.f64 1 (pow.f64 x 3)))))
(log.f64 (pow.f64 (sqrt.f64 -1) 2))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (log.f64 (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 x 2))) (log.f64 (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 -3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) 1) (pow.f64 (sqrt.f64 -1) 2))) (.f64 -3/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 4)))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 6)))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 x 2))) (log.f64 (pow.f64 (sqrt.f64 -1) 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 -2 (/.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) n))
(-.f64 (.f64 -2 (/.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) n)) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 n x))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) n)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (.f64 n (pow.f64 x 2))))) (/.f64 1 (.f64 n (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) n)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (.f64 n (pow.f64 x 2)))) (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 -3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) 1) (pow.f64 (sqrt.f64 -1) 2))) (.f64 -3/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 4)))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 6)))) (.f64 n (pow.f64 x 3)))))) (/.f64 1 (.f64 n (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(*.f64 -2 (/.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) n))
(*.f64 -2 (/.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) n))
(*.f64 -2 (/.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) n))
(*.f64 -2 (/.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) n))
(*.f64 -2 (/.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) n))
(*.f64 -2 (/.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) n))
(*.f64 -2 (/.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) n))
(*.f64 -2 (/.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) n))
(*.f64 -2 (/.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) n))
(*.f64 -2 (/.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) n))
(*.f64 -2 (/.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) n))
(*.f64 -2 (/.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) n))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 3/8 (/.f64 1 (pow.f64 x 2)))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 3/8 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 5/16 (/.f64 1 (pow.f64 x 3)))))
(pow.f64 (sqrt.f64 -1) 2)
(+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 x 2))) (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 x 2))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) 1) (pow.f64 x 3))))))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))

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

localize5.0ms (0%)

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

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 62 to 42 computations (32.3% saved)

series11.0ms (0%)

Counts

4 → 72

Calls

21 calls:

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

rewrite84.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

639×	`log-prod_binary64`
336×	`pow2_binary64`
270×	`log-div_binary64`
237×	`pow1/3_binary64`
232×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	272	37
2	3756	37

Stop Event

1×	node limit

Counts

4 → 171

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (.f64 x n)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (.f64 x n))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (.f64 x n))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (.f64 x n))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (.f64 x n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 n) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (.f64 x n))) (pow.f64 (/.f64 1 (cbrt.f64 (.f64 x n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 x n))) 2) (/.f64 1 (cbrt.f64 (.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 n -2)) (.f64 (/.f64 1 (cbrt.f64 n)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 x n))) (/.f64 1 (sqrt.f64 (.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 n -1/2) (.f64 (pow.f64 n -1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 n) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 n -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 n)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 n -1/2) 1) (/.f64 (pow.f64 n -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 n) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 n -2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 n -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 n -1/2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 1 n) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 n -2)) (sqrt.f64 x)) (/.f64 (/.f64 1 (cbrt.f64 n)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (.f64 x n) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (.f64 x n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (.f64 x n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (.f64 x n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x n) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 1 n) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 x n) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 n) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (.f64 x n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (.f64 x n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (.f64 x n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 1 n) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (.f64 x n))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (.f64 (.f64 x x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (.f64 (.f64 x x) n)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (.f64 (.f64 x x) n))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (.f64 (.f64 x x) n))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (.f64 (.f64 x x) n))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (.f64 (.f64 x x) n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (.f64 (.f64 x x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 n) (pow.f64 (/.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 n) (/.f64 1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x n)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (.f64 x x) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (.f64 (.f64 x x) n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (.f64 (*.f64 x x) n))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (.f64 x (.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1/3 x) (/.f64 1 (.f64 (.f64 x x) n))) (.f64 -1/2 (/.f64 1 (.f64 (.f64 x x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (.f64 (.f64 x x) n)) (/.f64 1/3 x)) (.f64 (/.f64 1 (.f64 (.f64 x x) n)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (.f64 x (.f64 x n))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (.f64 x (.f64 x n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (.f64 x (.f64 x n)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (.f64 x (.f64 x n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (.f64 x (.f64 x n))))) 1)))) (#(struct:change 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x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/27 (pow.f64 x 3)) -1/8)) (.f64 x (+.f64 (/.f64 1/9 (.f64 x x)) (+.f64 1/4 (/.f64 1/6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 -1 (.f64 x n)) (+.f64 (/.f64 1/27 (pow.f64 x 3)) -1/8)) (.f64 (neg.f64 x) (+.f64 (/.f64 1/9 (.f64 x x)) (+.f64 1/4 (/.f64 1/6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 n) (+.f64 (/.f64 1/9 (.f64 x x)) -1/4)) (.f64 (.f64 x x) (+.f64 (/.f64 1/3 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/9 (.f64 x x)) -1/4)) (.f64 x (+.f64 (/.f64 1/3 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 -1 (.f64 x n)) (+.f64 (/.f64 1/9 (.f64 x x)) -1/4)) (.f64 (neg.f64 x) (+.f64 (/.f64 1/3 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 1/27 (pow.f64 x 3)) -1/8) 1) (.f64 (+.f64 (/.f64 1/9 (.f64 x x)) (+.f64 1/4 (/.f64 1/6 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(+.f64 1/4 (/.f64 1/6 x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 1/9 (.f64 x x)) -1/4) (/.f64 -1 (.f64 x n))) (.f64 (+.f64 (/.f64 1/3 x) 1/2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (.f64 x n)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (.f64 x n)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (.f64 x n)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 n) (+.f64 (/.f64 1/3 x) -1/2)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 -1 (.f64 x n)) (+.f64 (/.f64 1/3 x) -1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 1/27 (pow.f64 x 3)) -1/8) (/.f64 1 (.f64 (.f64 x x) n))) (+.f64 (/.f64 1/9 (.f64 x x)) (+.f64 1/4 (/.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 1/9 (.f64 x x)) -1/4) (/.f64 1 (.f64 (.f64 x x) n))) (+.f64 (/.f64 1/3 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 (.f64 (.f64 x x) n)) (+.f64 (/.f64 1/27 (pow.f64 x 3)) -1/8)) (+.f64 (/.f64 1/9 (.f64 x x)) (+.f64 1/4 (/.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 (.f64 (.f64 x x) n)) (+.f64 (/.f64 1/9 (.f64 x x)) -1/4)) (+.f64 (/.f64 1/3 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 1/3 x) -1/2) (/.f64 1 n)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 1/3 x) -1/2) (/.f64 -1 (.f64 x n))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (.f64 x (.f64 x n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (.f64 x (.f64 x n))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (.f64 x (.f64 x n))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (.f64 x (.f64 x n)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 1/3 x) -1/2)) (/.f64 (pow.f64 n -1/2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 x x) n)) 3) (pow.f64 (+.f64 (/.f64 1/3 x) -1/2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (+.f64 (/.f64 1/3 x) -1/2) 3) (pow.f64 (/.f64 1 (.f64 (.f64 x x) n)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (.f64 x n))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (.f64 x (.f64 x n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (.f64 x (.f64 x n)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (.f64 x (.f64 x n))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (.f64 x (.f64 x n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 x x) n)) 3) (pow.f64 (+.f64 (/.f64 1/3 x) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 (/.f64 1/3 x) -1/2) 3) (pow.f64 (/.f64 1 (.f64 (.f64 x x) n)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (.f64 x (.f64 x n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (.f64 x (.f64 x n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (.f64 x (.f64 x n)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (.f64 x (.f64 x n)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 x) (/.f64 1 (.f64 (.f64 x x) n)) (.f64 -1/2 (/.f64 1 (.f64 (.f64 x x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (.f64 (.f64 x x) n)) (/.f64 1/3 x) (.f64 (/.f64 1 (.f64 (.f64 x x) n)) -1/2))))))

simplify60.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

655×	`associate-/l*_binary64`
585×	`fma-def_binary64`
551×	`associate-l_binary64`
536×	`unswap-sqr_binary64`
485×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	774
1	70	774
2	168	774
3	451	774
4	1728	774
5	5386	774

Stop Event

1×	node limit

Counts

243 → 182

Calls

Call 1

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

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

localize35.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (neg.f64 n) (log.f64 x))
✓	0.5b	(-.f64 (.f64 (neg.f64 x) n) (.f64 (neg.f64 n) (log.f64 x)))
✓	28.0b	(/.f64 (-.f64 (.f64 (neg.f64 x) n) (.f64 (neg.f64 n) (log.f64 x))) (*.f64 (neg.f64 n) n))

Compiler

Compiled 48 to 10 computations (79.2% saved)

series10.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite99.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

605×	`log-prod_binary64`
350×	`fma-def_binary64`
268×	`pow2_binary64`
261×	`pow-unpow_binary64`
217×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	259	27
2	4340	27

Stop Event

1×	node limit

Counts

3 → 298

Calls

Call 1

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

Outputs

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

simplify100.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

572×	`div-sub_binary64`
519×	`fma-def_binary64`
364×	`associate-/l*_binary64`
318×	`fma-neg_binary64`
311×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	793
1	132	625
2	336	604
3	716	604
4	1518	604
5	4325	604
6	7426	604

Stop Event

1×	node limit

Counts

370 → 321

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

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

localize13.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) n)
✓	0.5b	(cbrt.f64 (neg.f64 (log.f64 x)))
✓	0.7b	(pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3)

Compiler

Compiled 28 to 11 computations (60.7% saved)

series19.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3)
3.0ms	x	@	inf	(/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) n)
3.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3)
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3)
2.0ms	n	@	0	(/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) n)

rewrite61.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

727×	`pow1_binary64`
683×	`add-log-exp_binary64`
682×	`log1p-expm1-u_binary64`
682×	`expm1-log1p-u_binary64`
667×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	195	14
2	2255	14

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

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

Outputs

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

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

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

simplify118.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

986×	`fma-neg_binary64`
595×	`div-sub_binary64`
432×	`unswap-sqr_binary64`
310×	`*-commutative_binary64`
303×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	392
1	109	392
2	209	392
3	447	392
4	1406	392
5	2979	392
6	4582	392
7	6398	392
8	6898	392
9	7423	392

Stop Event

1×	node limit

Counts

144 → 107

Calls

Call 1

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

eval402.0ms (1.2%)

Compiler: Compiled 16264 to 8451 computations (48% saved)

prune512.0ms (1.6%)

Pruning

45 alts after pruning (39 fresh and 6 done)

	Pruned	Kept	Total
New	782	10	792
Fresh	7	29	36
Picked	0	1	1
Done	3	5	8
Total	792	45	837

Error

0.1b

Counts

837 → 45

Alt Table

Click to see full alt table

Status	Error	Program
	21.3b	(*.f64 -2 (/.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) n))
	21.3b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	42.7b	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
	37.3b	(/.f64 (/.f64 1 n) x)
	61.4b	(/.f64 (.f64 n (neg.f64 x)) (.f64 (neg.f64 n) n))
	50.6b	(/.f64 (-.f64 (.f64 x (/.f64 n (log.f64 x))) n) (.f64 n (/.f64 n (log.f64 x))))
✓	60.9b	(/.f64 x n)
✓	40.5b	(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
	40.6b	(/.f64 (-.f64 x (log.f64 x)) n)
	40.5b	(/.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))) 0)) n)
	40.6b	(/.f64 (neg.f64 (log.f64 x)) n)
	42.6b	(/.f64 (neg.f64 (log1p.f64 (-.f64 (/.f64 x (+.f64 x 1)) 1))) n)
	36.3b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	30.8b	(/.f64 (neg.f64 (+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2))) (log.f64 (cbrt.f64 (/.f64 x (+.f64 x 1)))))) n)
	54.3b	(-.f64 (+.f64 1 (+.f64 (/.f64 x n) (.f64 (.f64 (/.f64 x n) x) (+.f64 (/.f64 1/2 n) -1/2)))) (pow.f64 x (/.f64 1 n)))
	38.2b	(+.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))))
	50.8b	(pow.f64 (pow.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n))) 3) 1/3)
	40.6b	(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 x) 2)) (log.f64 x)) n)
	37.5b	(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (*.f64 x x)) n))
	42.3b	(neg.f64 (/.f64 0 n))
✓	40.9b	(/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) n)
	50.8b	(pow.f64 (pow.f64 (-.f64 (pow.f64 (pow.f64 (E.f64) (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 1 n))) 3) 1/3)
	38.3b	(.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n)))
	37.9b	(.f64 (/.f64 1 n) (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))))
	21.4b	(/.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))) n)
	37.9b	(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 -1/2 n) (*.f64 x x)))
	36.3b	(pow.f64 (pow.f64 (-.f64 (expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n))) 3) 1/3)
	41.7b	(+.f64 (.f64 (/.f64 (cbrt.f64 (pow.f64 n -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 n)) x)) (.f64 (/.f64 (/.f64 (/.f64 1 n) x) x) (-.f64 (/.f64 1/3 x) 1/2)))
	37.4b	(+.f64 (/.f64 (/.f64 1 n) x) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
	37.3b	(/.f64 (/.f64 1 x) n)
	38.3b	(+.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 -1/2 (.f64 x n)) x))
	45.3b	(pow.f64 (pow.f64 (*.f64 n x) -1/2) 2)
	51.2b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	28.6b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	37.9b	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) n)
	40.6b	(/.f64 1 (/.f64 n (-.f64 x (log.f64 x))))
✓	37.8b	(/.f64 1 (*.f64 n x))
✓	21.3b	(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 1 x)))) n)
	38.0b	(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) 3)
✓	45.2b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	35.2b	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
	40.7b	(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
	43.0b	(/.f64 (.f64 (log.f64 x) n) (.f64 (neg.f64 n) n))
	50.8b	(exp.f64 (neg.f64 (log.f64 (*.f64 n x))))
	37.9b	(+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 x (.f64 x n))) (-.f64 (/.f64 1/3 x) 1/2)))

Compiler

Compiled 626 to 438 computations (30% saved)

regimes1.2s (3.6%)

Counts

80 → 3

Calls

Call 1

Inputs
(/.f64 x n)
(neg.f64 (/.f64 0 n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(*.f64 (/.f64 1 n) (/.f64 1 x))
(/.f64 (.f64 n (neg.f64 x)) (.f64 (neg.f64 n) n))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1)
(.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n)))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) n)
(+.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 -1/2 (.f64 x n)) x))
(.f64 (/.f64 1 n) (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))))
(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 -1/2 n) (*.f64 x x)))
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (*.f64 x x)) n))
(+.f64 (/.f64 (/.f64 1 n) x) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
(+.f64 (/.f64 (/.f64 1 n) x) (*.f64 (/.f64 (/.f64 (/.f64 1 n) x) x) (-.f64 (/.f64 1/3 x) 1/2)))
(+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 x (.f64 x n))) (-.f64 (/.f64 1/3 x) 1/2)))
(/.f64 (neg.f64 (log.f64 1)) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 1 (/.f64 n (-.f64 x (log.f64 x))))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (.f64 (log.f64 x) n) (.f64 (neg.f64 n) n))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 1 x)))) n)
(/.f64 (neg.f64 (log1p.f64 (-.f64 (/.f64 x (+.f64 x 1)) 1))) n)
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
(/.f64 (-.f64 n (.f64 (/.f64 n x) (log.f64 x))) (.f64 (/.f64 n x) n))
(/.f64 (-.f64 (.f64 (neg.f64 x) n) (.f64 (neg.f64 n) (log.f64 x))) (*.f64 (neg.f64 n) n))
(-.f64 (+.f64 1 (+.f64 (/.f64 x n) (.f64 (.f64 (/.f64 x n) x) (+.f64 (/.f64 1/2 n) -1/2)))) (pow.f64 x (/.f64 1 n)))
(+.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))))
(exp.f64 (neg.f64 (log.f64 (*.f64 n x))))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(pow.f64 (pow.f64 (*.f64 n x) -1/2) 2)
(/.f64 (-.f64 (log.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) 3)
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (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 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(*.f64 -2 (/.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) n))
(/.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))) 0)) n)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (-.f64 (.f64 x (/.f64 n (log.f64 x))) n) (.f64 n (/.f64 n (log.f64 x))))
(/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4))))) n)
(-.f64 (+.f64 1 (fma.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x) (/.f64 x n))) (pow.f64 x (/.f64 1 n)))
(/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) n)
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 x) 2)) (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(+.f64 (.f64 (/.f64 (cbrt.f64 (pow.f64 n -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 n)) x)) (.f64 (/.f64 (/.f64 (/.f64 1 n) x) x) (-.f64 (/.f64 1/3 x) 1/2)))
(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
(/.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))) n)
(/.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)))) n)
(/.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))) (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))))) n)
(-.f64 (expm1.f64 (log1p.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 (pow.f64 (pow.f64 (cbrt.f64 (.f64 n x)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 n x)) -1))
(/.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 x)))) n)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
(/.f64 (neg.f64 (+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2))) (log.f64 (cbrt.f64 (/.f64 x (+.f64 x 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 (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 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)))))
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
(pow.f64 (pow.f64 (-.f64 (expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n))) 3) 1/3)
(/.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 (.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)))))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (pow.f64 (E.f64) (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 1 n))) 3) 1/3)
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (+.f64 (/.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)) (.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))))
(+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 11/24 n) n) (+.f64 (/.f64 1/24 (pow.f64 n 4)) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3))))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)))))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n))) 3) 1/3)

Outputs
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(*.f64 -2 (/.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))

Calls

5 calls:

339.0ms	(/.f64 1 n)
336.0ms	(/.f64 1 n)
302.0ms	n
124.0ms	x
11.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
1.8b	3	`x`
10.8b	6	`n`
15.6b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
10.3b	6	`(/.f64 1 n)`
10.3b	6	`(/.f64 1 n)`

Compiler

Compiled 1183 to 638 computations (46.1% saved)

bsearch456.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
211.0ms	1598060.3409604875	5204231.191529029
244.0ms	1.921181667828307e-16	2.5060552072102563e-12

Compiler

Compiled 334 to 254 computations (24% saved)

regimes1.1s (3.3%)

Counts

46 → 3

Calls

Call 1

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

Outputs
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 1 x)))) n)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))

Calls

4 calls:

343.0ms	(/.f64 1 n)
296.0ms	(/.f64 1 n)
293.0ms	n
136.0ms	x

Results

Error	Segments	Branch
1.8b	3	`x`
10.6b	7	`n`
10.6b	6	`(/.f64 1 n)`
10.6b	6	`(/.f64 1 n)`

Compiler

Compiled 467 to 251 computations (46.3% saved)

bsearch598.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
272.0ms	1598060.3409604875	5204231.191529029
325.0ms	1.921181667828307e-16	2.5060552072102563e-12

Compiler

Compiled 308 to 228 computations (26% saved)

regimes1.1s (3.2%)

Counts

44 → 5

Calls

Call 1

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

Outputs
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 1 x)))) n)
(neg.f64 (/.f64 0 n))
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (*.f64 x x)) n))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)

Calls

4 calls:

340.0ms	x
282.0ms	n
234.0ms	(/.f64 1 n)
183.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
7.9b	5	`x`
11.6b	7	`n`
11.6b	6	`(/.f64 1 n)`
11.6b	6	`(/.f64 1 n)`

Compiler

Compiled 449 to 244 computations (45.7% saved)

bsearch2.5s (7.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
1.4s	1.2740267703420242e+154	1.5280059944330079e+156
387.0ms	111672114997170.67	4080368160714423.5
296.0ms	242622120.3428368	1091862724.0535727
382.0ms	1.921181667828307e-16	2.5060552072102563e-12

Compiler

Compiled 708 to 527 computations (25.6% saved)

regimes965.0ms (3%)

Counts

37 → 6

Calls

Call 1

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

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

Calls

4 calls:

372.0ms	n
343.0ms	x
128.0ms	(/.f64 1 n)
108.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
13.9b	3	`x`
11.6b	7	`n`
11.6b	6	`(/.f64 1 n)`
11.6b	6	`(/.f64 1 n)`

Compiler

Compiled 396 to 223 computations (43.7% saved)

bsearch1.0ms (0%)

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	3.576034262505369e-11	2.1974171061551337e-8
0.0ms	3.3609912507732437e-46	3.046935760956904e-45
0.0ms	3.2550725899753286e-101	1.487644204557685e-100
0.0ms	2.6904263566559444e-112	2.981326879313751e-107
0.0ms	-35340619867.75381	-159737.49614826016

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes700.0ms (2.2%)

Counts

34 → 6

Calls

Call 1

Inputs
(/.f64 x n)
(neg.f64 (/.f64 0 n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(*.f64 (/.f64 1 n) (/.f64 1 x))
(/.f64 (.f64 n (neg.f64 x)) (.f64 (neg.f64 n) n))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1)
(.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n)))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) n)
(+.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 -1/2 (.f64 x n)) x))
(.f64 (/.f64 1 n) (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))))
(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 -1/2 n) (*.f64 x x)))
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (*.f64 x x)) n))
(+.f64 (/.f64 (/.f64 1 n) x) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
(+.f64 (/.f64 (/.f64 1 n) x) (*.f64 (/.f64 (/.f64 (/.f64 1 n) x) x) (-.f64 (/.f64 1/3 x) 1/2)))
(+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 x (.f64 x n))) (-.f64 (/.f64 1/3 x) 1/2)))
(/.f64 (neg.f64 (log.f64 1)) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 1 (/.f64 n (-.f64 x (log.f64 x))))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (.f64 (log.f64 x) n) (.f64 (neg.f64 n) n))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 1 x)))) n)
(/.f64 (neg.f64 (log1p.f64 (-.f64 (/.f64 x (+.f64 x 1)) 1))) n)
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
(/.f64 (-.f64 n (.f64 (/.f64 n x) (log.f64 x))) (.f64 (/.f64 n x) n))
(/.f64 (-.f64 (.f64 (neg.f64 x) n) (.f64 (neg.f64 n) (log.f64 x))) (*.f64 (neg.f64 n) n))

Outputs
(neg.f64 (/.f64 0 n))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 1 x)))) n)
(/.f64 (/.f64 1 n) x)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(*.f64 (/.f64 1 n) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))

Calls

4 calls:

304.0ms	(/.f64 1 n)
141.0ms	(/.f64 1 n)
140.0ms	n
99.0ms	x

Results

Error	Segments	Branch
13.9b	3	`x`
11.6b	7	`n`
11.6b	6	`(/.f64 1 n)`
11.6b	6	`(/.f64 1 n)`

Compiler

Compiled 342 to 189 computations (44.7% saved)

bsearch1.0ms (0%)

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	3.576034262505369e-11	2.1974171061551337e-8
0.0ms	3.3609912507732437e-46	3.046935760956904e-45
0.0ms	3.2550725899753286e-101	1.487644204557685e-100
0.0ms	2.6904263566559444e-112	2.981326879313751e-107
0.0ms	-35340619867.75381	-159737.49614826016

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes420.0ms (1.3%)

Counts

31 → 6

Calls

Call 1

Inputs
(/.f64 x n)
(neg.f64 (/.f64 0 n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(*.f64 (/.f64 1 n) (/.f64 1 x))
(/.f64 (.f64 n (neg.f64 x)) (.f64 (neg.f64 n) n))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1)
(.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n)))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) n)
(+.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 -1/2 (.f64 x n)) x))
(.f64 (/.f64 1 n) (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))))
(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 -1/2 n) (*.f64 x x)))
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (*.f64 x x)) n))
(+.f64 (/.f64 (/.f64 1 n) x) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
(+.f64 (/.f64 (/.f64 1 n) x) (*.f64 (/.f64 (/.f64 (/.f64 1 n) x) x) (-.f64 (/.f64 1/3 x) 1/2)))
(+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 x (.f64 x n))) (-.f64 (/.f64 1/3 x) 1/2)))
(/.f64 (neg.f64 (log.f64 1)) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 1 (/.f64 n (-.f64 x (log.f64 x))))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (.f64 (log.f64 x) n) (.f64 (neg.f64 n) n))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 1 x)))) n)
(/.f64 (neg.f64 (log1p.f64 (-.f64 (/.f64 x (+.f64 x 1)) 1))) n)

Outputs
(neg.f64 (/.f64 0 n))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 1 x)))) n)
(/.f64 (/.f64 1 n) x)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(*.f64 (/.f64 1 n) (/.f64 1 x))
(-.f64 1 (pow.f64 x (/.f64 1 n)))

Calls

4 calls:

120.0ms	(/.f64 1 n)
111.0ms	n
96.0ms	(/.f64 1 n)
82.0ms	x

Results

Error	Segments	Branch
13.9b	3	`x`
11.7b	7	`n`
11.7b	6	`(/.f64 1 n)`
11.7b	6	`(/.f64 1 n)`

Compiler

Compiled 302 to 174 computations (42.4% saved)

bsearch1.0ms (0%)

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	3.576034262505369e-11	2.1974171061551337e-8
0.0ms	3.3609912507732437e-46	3.046935760956904e-45
0.0ms	3.2550725899753286e-101	1.487644204557685e-100
0.0ms	2.6904263566559444e-112	2.981326879313751e-107
0.0ms	-35340619867.75381	-159737.49614826016

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes482.0ms (1.5%)

Counts

29 → 6

Calls

Call 1

Inputs
(/.f64 x n)
(neg.f64 (/.f64 0 n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(*.f64 (/.f64 1 n) (/.f64 1 x))
(/.f64 (.f64 n (neg.f64 x)) (.f64 (neg.f64 n) n))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1)
(.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n)))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) n)
(+.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 -1/2 (.f64 x n)) x))
(.f64 (/.f64 1 n) (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))))
(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 -1/2 n) (*.f64 x x)))
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (*.f64 x x)) n))
(+.f64 (/.f64 (/.f64 1 n) x) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
(+.f64 (/.f64 (/.f64 1 n) x) (*.f64 (/.f64 (/.f64 (/.f64 1 n) x) x) (-.f64 (/.f64 1/3 x) 1/2)))
(+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 x (.f64 x n))) (-.f64 (/.f64 1/3 x) 1/2)))
(/.f64 (neg.f64 (log.f64 1)) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 1 (/.f64 n (-.f64 x (log.f64 x))))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (.f64 (log.f64 x) n) (.f64 (neg.f64 n) n))

Outputs
(neg.f64 (/.f64 0 n))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (/.f64 1 n) x)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(*.f64 (/.f64 1 n) (/.f64 1 x))
(-.f64 1 (pow.f64 x (/.f64 1 n)))

Calls

4 calls:

165.0ms	n
126.0ms	(/.f64 1 n)
106.0ms	(/.f64 1 n)
70.0ms	x

Results

Error	Segments	Branch
13.9b	3	`x`
11.7b	7	`n`
11.7b	6	`(/.f64 1 n)`
11.7b	6	`(/.f64 1 n)`

Compiler

Compiled 282 to 160 computations (43.3% saved)

bsearch1.0ms (0%)

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	3.576034262505369e-11	2.1974171061551337e-8
0.0ms	3.3609912507732437e-46	3.046935760956904e-45
0.0ms	3.2550725899753286e-101	1.487644204557685e-100
0.0ms	2.6904263566559444e-112	2.981326879313751e-107
0.0ms	-35340619867.75381	-159737.49614826016

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes544.0ms (1.7%)

Counts

25 → 3

Calls

Call 1

Inputs
(/.f64 x n)
(neg.f64 (/.f64 0 n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(*.f64 (/.f64 1 n) (/.f64 1 x))
(/.f64 (.f64 n (neg.f64 x)) (.f64 (neg.f64 n) n))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1)
(.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n)))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) n)
(+.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 -1/2 (.f64 x n)) x))
(.f64 (/.f64 1 n) (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))))
(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 -1/2 n) (*.f64 x x)))
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (*.f64 x x)) n))
(+.f64 (/.f64 (/.f64 1 n) x) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
(+.f64 (/.f64 (/.f64 1 n) x) (*.f64 (/.f64 (/.f64 (/.f64 1 n) x) x) (-.f64 (/.f64 1/3 x) 1/2)))
(+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 x (.f64 x n))) (-.f64 (/.f64 1/3 x) 1/2)))
(/.f64 (neg.f64 (log.f64 1)) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 1 (/.f64 n (-.f64 x (log.f64 x))))

Outputs
(/.f64 (-.f64 x (log.f64 x)) n)
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (*.f64 x x)) n))
(neg.f64 (/.f64 0 n))

Calls

4 calls:

171.0ms	n
151.0ms	(/.f64 1 n)
150.0ms	(/.f64 1 n)
65.0ms	x

Results

Error	Segments	Branch
14.6b	3	`x`
18.4b	9	`n`
17.4b	10	`(/.f64 1 n)`
17.4b	10	`(/.f64 1 n)`

Compiler

Compiled 249 to 146 computations (41.4% saved)

bsearch926.0ms (2.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
628.0ms	1.2740267703420242e+154	1.5280059944330079e+156
298.0ms	0.0864337305125118	3.531960248700019

Compiler

Compiled 412 to 295 computations (28.4% saved)

regimes321.0ms (1%)

Counts

20 → 3

Calls

Call 1

Inputs
(/.f64 x n)
(neg.f64 (/.f64 0 n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(*.f64 (/.f64 1 n) (/.f64 1 x))
(/.f64 (.f64 n (neg.f64 x)) (.f64 (neg.f64 n) n))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1)
(.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n)))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) n)
(+.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 -1/2 (.f64 x n)) x))
(.f64 (/.f64 1 n) (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))))
(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 -1/2 n) (*.f64 x x)))
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (*.f64 x x)) n))
(+.f64 (/.f64 (/.f64 1 n) x) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
(+.f64 (/.f64 (/.f64 1 n) x) (*.f64 (/.f64 (/.f64 (/.f64 1 n) x) x) (-.f64 (/.f64 1/3 x) 1/2)))
(+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 x (.f64 x n))) (-.f64 (/.f64 1/3 x) 1/2)))
(/.f64 (neg.f64 (log.f64 1)) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (neg.f64 (log.f64 x)) n)

Outputs
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (*.f64 x x)) n))
(neg.f64 (/.f64 0 n))

Calls

4 calls:

101.0ms	(/.f64 1 n)
96.0ms	(/.f64 1 n)
77.0ms	n
40.0ms	x

Results

Error	Segments	Branch
14.9b	3	`x`
24.1b	8	`n`
23.2b	9	`(/.f64 1 n)`
23.2b	9	`(/.f64 1 n)`

Compiler

Compiled 215 to 133 computations (38.1% saved)

bsearch783.0ms (2.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
584.0ms	1.2740267703420242e+154	1.5280059944330079e+156
198.0ms	0.0864337305125118	3.531960248700019

Compiler

Compiled 405 to 295 computations (27.2% saved)

regimes483.0ms (1.5%)

Counts

18 → 3

Calls

Call 1

Inputs
(/.f64 x n)
(neg.f64 (/.f64 0 n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(*.f64 (/.f64 1 n) (/.f64 1 x))
(/.f64 (.f64 n (neg.f64 x)) (.f64 (neg.f64 n) n))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1)
(.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n)))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) n)
(+.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 -1/2 (.f64 x n)) x))
(.f64 (/.f64 1 n) (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))))
(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 -1/2 n) (*.f64 x x)))
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (*.f64 x x)) n))
(+.f64 (/.f64 (/.f64 1 n) x) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
(+.f64 (/.f64 (/.f64 1 n) x) (*.f64 (/.f64 (/.f64 (/.f64 1 n) x) x) (-.f64 (/.f64 1/3 x) 1/2)))
(+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 x (.f64 x n))) (-.f64 (/.f64 1/3 x) 1/2)))
(/.f64 (neg.f64 (log.f64 1)) n)

Outputs
(+.f64 (/.f64 (/.f64 1 n) x) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2)))
(neg.f64 (/.f64 0 n))
(/.f64 (/.f64 1 n) x)

Calls

4 calls:

157.0ms	x
65.0ms	n
36.0ms	(/.f64 1 n)
35.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
34.9b	3	`x`
28.6b	3	`n`
28.8b	2	`(/.f64 1 n)`
28.8b	2	`(/.f64 1 n)`

Compiler

Compiled 205 to 130 computations (36.6% saved)

bsearch147.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
58.0ms	1.953811927674934e-69	1.2990460177850085e-66
88.0ms	-175291.3910876423	-0.0038637265859170953

Compiler

Compiled 140 to 111 computations (20.7% saved)

regimes107.0ms (0.3%)

Counts

14 → 3

Calls

Call 1

Inputs
(/.f64 x n)
(neg.f64 (/.f64 0 n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(*.f64 (/.f64 1 n) (/.f64 1 x))
(/.f64 (.f64 n (neg.f64 x)) (.f64 (neg.f64 n) n))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1)
(.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n)))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) n)
(+.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 -1/2 (.f64 x n)) x))
(.f64 (/.f64 1 n) (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))))
(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 -1/2 n) (*.f64 x x)))
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (*.f64 x x)) n))

Outputs
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (*.f64 x x)) n))
(neg.f64 (/.f64 0 n))
(/.f64 (/.f64 1 n) x)

Calls

4 calls:

35.0ms	n
31.0ms	x
19.0ms	(/.f64 1 n)
17.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
34.9b	3	`x`
28.7b	3	`n`
28.8b	2	`(/.f64 1 n)`
28.8b	2	`(/.f64 1 n)`

Compiler

Compiled 143 to 89 computations (37.8% saved)

bsearch126.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	1.953811927674934e-69	1.2990460177850085e-66
72.0ms	-175291.3910876423	-0.0038637265859170953

Compiler

Compiled 140 to 111 computations (20.7% saved)

regimes78.0ms (0.2%)

Counts

13 → 3

Calls

Call 1

Inputs
(/.f64 x n)
(neg.f64 (/.f64 0 n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(*.f64 (/.f64 1 n) (/.f64 1 x))
(/.f64 (.f64 n (neg.f64 x)) (.f64 (neg.f64 n) n))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1)
(.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n)))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) n)
(+.f64 (/.f64 1 (.f64 x n)) (/.f64 (/.f64 -1/2 (.f64 x n)) x))
(.f64 (/.f64 1 n) (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x x))))
(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 -1/2 n) (*.f64 x x)))

Outputs
(/.f64 (/.f64 1 n) x)
(neg.f64 (/.f64 0 n))
(/.f64 (/.f64 1 n) x)

Calls

4 calls:

21.0ms	x
21.0ms	n
15.0ms	(/.f64 1 n)
15.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
36.0b	2	`x`
28.7b	3	`n`
28.8b	2	`(/.f64 1 n)`
28.8b	2	`(/.f64 1 n)`

Compiler

Compiled 126 to 79 computations (37.3% saved)

bsearch142.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
67.0ms	1.953811927674934e-69	1.2990460177850085e-66
74.0ms	-175291.3910876423	-0.0038637265859170953

Compiler

Compiled 140 to 111 computations (20.7% saved)

regimes7.0ms (0%)

Accuracy

Total -19.2b remaining (-45.4%)

Threshold costs -19.2b (-45.4%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 x n)
(neg.f64 (/.f64 0 n))

Outputs
(neg.f64 (/.f64 0 n))

Calls

2 calls:

3.0ms	x
3.0ms	n

Results

Error	Segments	Branch
42.3b	1	`x`
42.3b	1	`n`

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify53.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

19×	`+-commutative_binary64`
13×	`*-commutative_binary64`
12×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	864
1	159	864
2	180	864
3	192	864
4	195	864

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x 7910139745424151/40564819207303340847894502572032) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 5000000) (.f64 -2 (/.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n))))
(if (<=.f64 x 7910139745424151/40564819207303340847894502572032) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 5000000) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 1 x)))) n) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))))
(if (<=.f64 x 7910139745424151/40564819207303340847894502572032) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 1080000000) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 1 x)))) n) (if (<=.f64 x 7340032000000000000/65536) (neg.f64 (/.f64 0 n)) (if (<=.f64 x 1499999999999999975038770334787582571840558412526205804550511421690702626251518831797216815418908112626856082516544657601301761022246860600198265555489128448) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (*.f64 x x)) n)) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)))))
(if (<=.f64 (/.f64 1 n) -41943040000000000/2097152) (neg.f64 (/.f64 0 n)) (if (<=.f64 (/.f64 1 n) 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 1 x)))) n) (if (<=.f64 (/.f64 1 n) 1970100309819724/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 (/.f64 1 n) x) (if (<=.f64 (/.f64 1 n) 6427752177035961/12855504354071922204335696738729300820177623950262342682411008) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 3961408125713217024/79228162514264337593543950336) (.f64 (/.f64 1 n) (/.f64 1 x)) (-.f64 (+.f64 1 (+.f64 (/.f64 x n) (.f64 (*.f64 (/.f64 x n) x) (+.f64 (/.f64 1/2 n) -1/2)))) (pow.f64 x (/.f64 1 n))))))))
(if (<=.f64 (/.f64 1 n) -41943040000000000/2097152) (neg.f64 (/.f64 0 n)) (if (<=.f64 (/.f64 1 n) 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 1 x)))) n) (if (<=.f64 (/.f64 1 n) 1970100309819724/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 (/.f64 1 n) x) (if (<=.f64 (/.f64 1 n) 6427752177035961/12855504354071922204335696738729300820177623950262342682411008) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 3961408125713217024/79228162514264337593543950336) (*.f64 (/.f64 1 n) (/.f64 1 x)) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))))))))
(if (<=.f64 (/.f64 1 n) -41943040000000000/2097152) (neg.f64 (/.f64 0 n)) (if (<=.f64 (/.f64 1 n) 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 1 x)))) n) (if (<=.f64 (/.f64 1 n) 1970100309819724/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 (/.f64 1 n) x) (if (<=.f64 (/.f64 1 n) 6427752177035961/12855504354071922204335696738729300820177623950262342682411008) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 3961408125713217024/79228162514264337593543950336) (*.f64 (/.f64 1 n) (/.f64 1 x)) (-.f64 1 (pow.f64 x (/.f64 1 n))))))))
(if (<=.f64 (/.f64 1 n) -41943040000000000/2097152) (neg.f64 (/.f64 0 n)) (if (<=.f64 (/.f64 1 n) 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 1970100309819724/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 (/.f64 1 n) x) (if (<=.f64 (/.f64 1 n) 6427752177035961/12855504354071922204335696738729300820177623950262342682411008) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 3961408125713217024/79228162514264337593543950336) (*.f64 (/.f64 1 n) (/.f64 1 x)) (-.f64 1 (pow.f64 x (/.f64 1 n))))))))
(if (<=.f64 x 1623313478486440448/18446744073709551616) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 1499999999999999975038770334787582571840558412526205804550511421690702626251518831797216815418908112626856082516544657601301761022246860600198265555489128448) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (*.f64 x x)) n)) (neg.f64 (/.f64 0 n))))
(if (<=.f64 x 1623313478486440448/18446744073709551616) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 1499999999999999975038770334787582571840558412526205804550511421690702626251518831797216815418908112626856082516544657601301761022246860600198265555489128448) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (*.f64 x x)) n)) (neg.f64 (/.f64 0 n))))
(if (<=.f64 n -1505741583983539/8589934592) (+.f64 (/.f64 (/.f64 1 n) x) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2))) (if (<=.f64 n 974753543363181824/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (neg.f64 (/.f64 0 n)) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -1505741583983539/8589934592) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (*.f64 x x)) n)) (if (<=.f64 n 974753543363181824/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (neg.f64 (/.f64 0 n)) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -1505741583983539/8589934592) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 974753543363181824/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (neg.f64 (/.f64 0 n)) (/.f64 (/.f64 1 n) x)))
(neg.f64 (/.f64 0 n))
(/.f64 x n)

Outputs
(if (<=.f64 x 7910139745424151/40564819207303340847894502572032) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 5000000) (.f64 -2 (/.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n))))
(if (<=.f64 x 7910139745424151/40564819207303340847894502572032) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 5000000) (.f64 -2 (/.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n))))
(if (<=.f64 x 7910139745424151/40564819207303340847894502572032) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 5000000) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 1 x)))) n) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))))
(if (<=.f64 x 7910139745424151/40564819207303340847894502572032) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 5000000) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) n) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))))
(if (<=.f64 x 7910139745424151/40564819207303340847894502572032) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 1080000000) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 1 x)))) n) (if (<=.f64 x 7340032000000000000/65536) (neg.f64 (/.f64 0 n)) (if (<=.f64 x 1499999999999999975038770334787582571840558412526205804550511421690702626251518831797216815418908112626856082516544657601301761022246860600198265555489128448) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (*.f64 x x)) n)) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)))))
(if (<=.f64 x 7910139745424151/40564819207303340847894502572032) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 1080000000) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) n) (if (<=.f64 x 112000000000000) (/.f64 0 n) (if (<=.f64 x 1499999999999999975038770334787582571840558412526205804550511421690702626251518831797216815418908112626856082516544657601301761022246860600198265555489128448) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (*.f64 x x)) n)) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)))))
(if (<=.f64 (/.f64 1 n) -41943040000000000/2097152) (neg.f64 (/.f64 0 n)) (if (<=.f64 (/.f64 1 n) 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 1 x)))) n) (if (<=.f64 (/.f64 1 n) 1970100309819724/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 (/.f64 1 n) x) (if (<=.f64 (/.f64 1 n) 6427752177035961/12855504354071922204335696738729300820177623950262342682411008) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 3961408125713217024/79228162514264337593543950336) (.f64 (/.f64 1 n) (/.f64 1 x)) (-.f64 (+.f64 1 (+.f64 (/.f64 x n) (.f64 (*.f64 (/.f64 x n) x) (+.f64 (/.f64 1/2 n) -1/2)))) (pow.f64 x (/.f64 1 n))))))))
(if (<=.f64 (/.f64 1 n) -20000000000) (/.f64 0 n) (if (<=.f64 (/.f64 1 n) 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) n) (if (<=.f64 (/.f64 1 n) 492525077454931/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704) (/.f64 (/.f64 1 n) x) (if (<=.f64 (/.f64 1 n) 6427752177035961/12855504354071922204335696738729300820177623950262342682411008) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 7737125245533627/154742504910672534362390528) (.f64 (/.f64 1 n) (/.f64 1 x)) (-.f64 (+.f64 1 (+.f64 (/.f64 x n) (.f64 (*.f64 x (/.f64 x n)) (+.f64 -1/2 (/.f64 1/2 n))))) (pow.f64 x (/.f64 1 n))))))))
(if (<=.f64 (/.f64 1 n) -41943040000000000/2097152) (neg.f64 (/.f64 0 n)) (if (<=.f64 (/.f64 1 n) 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 1 x)))) n) (if (<=.f64 (/.f64 1 n) 1970100309819724/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 (/.f64 1 n) x) (if (<=.f64 (/.f64 1 n) 6427752177035961/12855504354071922204335696738729300820177623950262342682411008) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 3961408125713217024/79228162514264337593543950336) (*.f64 (/.f64 1 n) (/.f64 1 x)) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))))))))
(if (<=.f64 (/.f64 1 n) -20000000000) (/.f64 0 n) (if (<=.f64 (/.f64 1 n) 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) n) (if (<=.f64 (/.f64 1 n) 492525077454931/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704) (/.f64 (/.f64 1 n) x) (if (<=.f64 (/.f64 1 n) 6427752177035961/12855504354071922204335696738729300820177623950262342682411008) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 7737125245533627/154742504910672534362390528) (*.f64 (/.f64 1 n) (/.f64 1 x)) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))))))
(if (<=.f64 (/.f64 1 n) -41943040000000000/2097152) (neg.f64 (/.f64 0 n)) (if (<=.f64 (/.f64 1 n) 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 1 x)))) n) (if (<=.f64 (/.f64 1 n) 1970100309819724/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 (/.f64 1 n) x) (if (<=.f64 (/.f64 1 n) 6427752177035961/12855504354071922204335696738729300820177623950262342682411008) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 3961408125713217024/79228162514264337593543950336) (*.f64 (/.f64 1 n) (/.f64 1 x)) (-.f64 1 (pow.f64 x (/.f64 1 n))))))))
(if (<=.f64 (/.f64 1 n) -20000000000) (/.f64 0 n) (if (<=.f64 (/.f64 1 n) 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) n) (if (<=.f64 (/.f64 1 n) 492525077454931/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704) (/.f64 (/.f64 1 n) x) (if (<=.f64 (/.f64 1 n) 6427752177035961/12855504354071922204335696738729300820177623950262342682411008) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 7737125245533627/154742504910672534362390528) (*.f64 (/.f64 1 n) (/.f64 1 x)) (-.f64 1 (pow.f64 x (/.f64 1 n))))))))
(if (<=.f64 (/.f64 1 n) -41943040000000000/2097152) (neg.f64 (/.f64 0 n)) (if (<=.f64 (/.f64 1 n) 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 1970100309819724/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 (/.f64 1 n) x) (if (<=.f64 (/.f64 1 n) 6427752177035961/12855504354071922204335696738729300820177623950262342682411008) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 3961408125713217024/79228162514264337593543950336) (*.f64 (/.f64 1 n) (/.f64 1 x)) (-.f64 1 (pow.f64 x (/.f64 1 n))))))))
(if (<=.f64 (/.f64 1 n) -20000000000) (/.f64 0 n) (if (<=.f64 (/.f64 1 n) 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 492525077454931/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704) (/.f64 (/.f64 1 n) x) (if (<=.f64 (/.f64 1 n) 6427752177035961/12855504354071922204335696738729300820177623950262342682411008) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 7737125245533627/154742504910672534362390528) (*.f64 (/.f64 1 n) (/.f64 1 x)) (-.f64 1 (pow.f64 x (/.f64 1 n))))))))
(if (<=.f64 x 1623313478486440448/18446744073709551616) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 1499999999999999975038770334787582571840558412526205804550511421690702626251518831797216815418908112626856082516544657601301761022246860600198265555489128448) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (*.f64 x x)) n)) (neg.f64 (/.f64 0 n))))
(if (<=.f64 x 3170534137668829/36028797018963968) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 1499999999999999975038770334787582571840558412526205804550511421690702626251518831797216815418908112626856082516544657601301761022246860600198265555489128448) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (*.f64 x x)) n)) (/.f64 0 n)))
(if (<=.f64 x 1623313478486440448/18446744073709551616) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 1499999999999999975038770334787582571840558412526205804550511421690702626251518831797216815418908112626856082516544657601301761022246860600198265555489128448) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (*.f64 x x)) n)) (neg.f64 (/.f64 0 n))))
(if (<=.f64 x 3170534137668829/36028797018963968) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 1499999999999999975038770334787582571840558412526205804550511421690702626251518831797216815418908112626856082516544657601301761022246860600198265555489128448) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (*.f64 x x)) n)) (/.f64 0 n)))
(if (<=.f64 n -1505741583983539/8589934592) (+.f64 (/.f64 (/.f64 1 n) x) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (-.f64 (/.f64 1/3 x) 1/2))) (if (<=.f64 n 974753543363181824/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (neg.f64 (/.f64 0 n)) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -1505741583983539/8589934592) (+.f64 (/.f64 (/.f64 1 n) x) (*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (+.f64 (/.f64 1/3 x) -1/2))) (if (<=.f64 n 3807631028762429/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176) (/.f64 0 n) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -1505741583983539/8589934592) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (*.f64 x x)) n)) (if (<=.f64 n 974753543363181824/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (neg.f64 (/.f64 0 n)) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -1505741583983539/8589934592) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 (+.f64 (/.f64 1/3 x) -1/2) (*.f64 x x)) n)) (if (<=.f64 n 3807631028762429/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176) (/.f64 0 n) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -1505741583983539/8589934592) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 974753543363181824/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (neg.f64 (/.f64 0 n)) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -1505741583983539/8589934592) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 3807631028762429/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176) (/.f64 0 n) (/.f64 (/.f64 1 n) x)))
(neg.f64 (/.f64 0 n))
(/.f64 0 n)
(/.f64 x n)

Compiler

Compiled 610 to 429 computations (29.7% saved)

soundness279.0ms (0.9%)

Algorithm

3×	egg-herbie

Rules

855×	`fma-neg_binary64`
697×	`fma-def_binary64`
697×	`fma-def_binary64`
554×	`times-frac_binary64`
554×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	168	2497
1	521	2313
2	1781	2192
0	98	1631
1	292	1619
2	875	1350
3	3667	1298
0	168	2497
1	521	2313
2	1781	2192

Stop Event

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

Compiler

Compiled 507 to 381 computations (24.9% saved)

end238.0ms (0.7%)

Compiler: Compiled 584 to 385 computations (34.1% saved)