Details

analyze862.0ms (5.1%)

Algorithm

1×

Search

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

Compiler

Compiled 16 to 12 computations (25% saved)

sample6.9s (40.5%)

Results

2.0s	2840×	body	1024	valid
1.4s	1768×	body	2048	valid
1.3s	1573×	body	1024	invalid
577.0ms	1250×	body	512	valid
558.0ms	2398×	body	256	valid
309.0ms	785×	body	512	invalid
256.0ms	236×	body	1024	infinite
176.0ms	1324×	body	256	invalid
162.0ms	735×	body	256	infinite
121.0ms	237×	body	512	infinite
86.0ms	344×	body	256	unsamplable
5.0ms	5×	body	2048	invalid
2.0ms	1×	body	2048	infinite

Bogosity

preprocess48.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify47.0ms (0.3%)

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)))

eval0.0ms (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

34.8b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.8b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 36 to 24 computations (33.3% saved)

series56.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
19.0ms	x	@	0	(pow.f64 x (/.f64 1 n))
14.0ms	x	@	-inf	(pow.f64 x (/.f64 1 n))
10.0ms	x	@	inf	(pow.f64 x (/.f64 1 n))
4.0ms	n	@	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)))

rewrite86.0ms (0.5%)

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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simplify135.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

718×	`times-frac_binary64`
469×	`cancel-sign-sub-inv_binary64`
456×	`fma-neg_binary64`
263×	`unswap-sqr_binary64`
230×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	470	6370
1	1183	5813
2	3788	5495

Stop Event

1×	node limit

Counts

229 → 314

Calls

Call 1

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

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

eval244.0ms (1.4%)

Compiler: Compiled 10469 to 6145 computations (41.3% saved)

prune83.0ms (0.5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	297	17	314
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	298	17	315

Error

0.4b

Counts

315 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.7b	(fma.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
	21.6b	(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
▶	15.5b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	31.4b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	21.6b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (log1p.f64 x) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
	51.9b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	54.9b	(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n)))
	23.5b	(-.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)))))))
	23.5b	(-.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)))))
▶	34.7b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
▶	45.8b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	39.4b	(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (+.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 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))))
	38.5b	(+.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 1/2 (.f64 n n)) (/.f64 -1/2 n))))
▶	22.6b	(+.f64 (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (/.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) -1/2)))
	40.6b	(+.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)) (.f64 x n)) (+.f64 (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))) (.f64 (/.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (/.f64 (/.f64 11/24 n) n) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n))))))
	35.0b	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
	34.7b	(log.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))

Compiler

Compiled 1190 to 804 computations (32.4% saved)

localize27.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 6 computations (70% saved)

series49.0ms (0.3%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
36.0ms	n	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
10.0ms	n	@	inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
1.0ms	x	@	inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
0.0ms	n	@	-inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
0.0ms	x	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

rewrite51.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	154	19
2	2286	19

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

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

Outputs

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

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

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

646×	`fma-def_binary64`
571×	`times-frac_binary64`
416×	`unswap-sqr_binary64`
370×	`distribute-rgt-in_binary64`
342×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	224	1577
1	580	1515
2	2281	1511

Stop Event

1×	node limit

Counts

104 → 136

Calls

Call 1

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

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x (/.f64 1 n))
✓	4.7b	(-.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
0.0ms	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	@	inf	(-.f64 1 (pow.f64 x (/.f64 1 n)))
0.0ms	x	@	-inf	(-.f64 1 (pow.f64 x (/.f64 1 n)))
0.0ms	x	@	0	(-.f64 1 (pow.f64 x (/.f64 1 n)))

rewrite53.0ms (0.3%)

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

simplify49.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

480×	`distribute-rgt-in_binary64`
420×	`fma-neg_binary64`
395×	`cancel-sign-sub-inv_binary64`
331×	`associate-l_binary64`
301×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	949
1	290	901
2	888	883
3	4228	843

Stop Event

1×	node limit

Counts

52 → 60

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

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (/.f64 (log1p.f64 x) n))
	0.0b	(pow.f64 x (/.f64 1 n))
✓	0.1b	(/.f64 (log1p.f64 x) n)
✓	2.9b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 35 to 15 computations (57.1% saved)

series34.0ms (0.2%)

Counts

3 → 68

Calls

18 calls:

Time	Variable		Point	Expression
27.0ms	x	@	-inf	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
1.0ms	x	@	inf	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
0.0ms	n	@	inf	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
0.0ms	n	@	-inf	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
0.0ms	x	@	0	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	212	31
2	2840	31

Stop Event

1×	node limit

Counts

3 → 216

Calls

Call 1

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

Outputs

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

simplify137.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

392×	`log-prod_binary64`
361×	`fma-def_binary64`
297×	`exp-prod_binary64`
283×	`cube-prod_binary64`
245×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	642	8181
1	1734	7578
2	6277	7558

Stop Event

1×	node limit

Counts

284 → 421

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

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 (fma.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x) 1) (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (.f64 n n)))) (pow.f64 x 3) (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (.f64 x x))))) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (.f64 n n)))) (pow.f64 x 3) (/.f64 x n)) (-.f64 (fma.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1) (exp.f64 (/.f64 (log.f64 x) n))))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(+.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))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))))
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(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (/.f64 1 n)))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))) (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) 1) (sqrt.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (log1p.f64 x))) (pow.f64 n -1/2))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))) (sqrt.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n))))
(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))))
(sqrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(log.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3))
(exp.f64 (/.f64 (log1p.f64 x) n))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) 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))
	0.0b	(pow.f64 x (/.f64 1 n))
	0.1b	(/.f64 (log1p.f64 x) n)
✓	5.1b	(fma.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))

Compiler

Compiled 56 to 30 computations (46.4% saved)

series9.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	n	@	inf	(fma.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
2.0ms	n	@	-inf	(fma.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
1.0ms	x	@	-inf	(fma.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
1.0ms	n	@	0	(fma.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
1.0ms	x	@	inf	(fma.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))

rewrite48.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`log-prod_binary64`
312×	`pow-prod-down_binary64`
269×	`pow2_binary64`
266×	`pow-pow_binary64`
255×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	241	17
2	2980	17

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))

Outputs

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

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

719×	`times-frac_binary64`
621×	`associate-/l*_binary64`
386×	`distribute-rgt-in_binary64`
372×	`distribute-lft-in_binary64`
221×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	296	2846
1	913	2544
2	3356	2202

Stop Event

1×	node limit

Counts

59 → 113

Calls

Call 1

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

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

localize76.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.6b	(-.f64 (log1p.f64 x) (log.f64 x))
✓	3.3b	(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n))
✓	7.2b	(/.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))
✓	8.1b	(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2))

Compiler

Compiled 195 to 98 computations (49.7% saved)

series26.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(/.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))
5.0ms	n	@	-inf	(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n))
2.0ms	x	@	inf	(/.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))
2.0ms	n	@	0	(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2))
2.0ms	n	@	0	(/.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))

rewrite75.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

397×	`expm1-udef_binary64`
397×	`log1p-udef_binary64`
294×	`fma-neg_binary64`
241×	`add-sqr-sqrt_binary64`
236×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	65
1	519	56
2	6564	56

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

Inputs

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

(/.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))

(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n))

Outputs

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

simplify107.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

332×	`associate-/r*_binary64`
304×	`times-frac_binary64`
283×	`fma-def_binary64`
257×	`log-prod_binary64`
249×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	512	5789
1	1513	5259
2	6061	5177

Stop Event

1×	node limit

Counts

177 → 250

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))
(+.f64 (.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 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 n 2))) (+.f64 (.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 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 n 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (+.f64 (.f64 11/24 (/.f64 (pow.f64 x 4) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 2))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 2))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 2))) (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 2))) (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) x))))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 2))) (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) x)))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (.f64 (pow.f64 n 2) x))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 n 2) x)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (.f64 (pow.f64 n 2) x))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2))) (+.f64 (/.f64 (log.f64 -1) (.f64 (pow.f64 n 2) x)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 2)))))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (.f64 (pow.f64 n 2) x))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2))) (+.f64 (/.f64 (log.f64 -1) (.f64 (pow.f64 n 2) x)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 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 n 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 n 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 n 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 n 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 n 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 n 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 n 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 n 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 n 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 n 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 n 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 n 2))
(*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 n 3))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 n 3))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 (.f64 7/24 (/.f64 (pow.f64 x 5) (pow.f64 n 3))) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(.f64 1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (*.f64 (pow.f64 n 3) x)))
(+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (.f64 (pow.f64 n 3) x))) (.f64 1/6 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))) (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 x)) (+.f64 1 (log.f64 (/.f64 1 x)))) (pow.f64 n 3))))) (pow.f64 x 2))))
(+.f64 (.f64 1/6 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 3)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 x)) (-.f64 (.f64 -2/3 (log.f64 (/.f64 1 x))) 1)) (pow.f64 n 3))) (.f64 2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3)))))) (pow.f64 x 3))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (.f64 (pow.f64 n 3) x))) (.f64 1/6 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))) (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 x)) (+.f64 1 (log.f64 (/.f64 1 x)))) (pow.f64 n 3))))) (pow.f64 x 2)))))
(+.f64 (.f64 1/6 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 11/12 (.f64 1/2 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))) (pow.f64 n 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 x))) (pow.f64 n 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (.f64 -4/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3)))))) (/.f64 1 (pow.f64 n 3))) (pow.f64 x 4))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 3)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 x)) (-.f64 (.f64 -2/3 (log.f64 (/.f64 1 x))) 1)) (pow.f64 n 3))) (.f64 2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3)))))) (pow.f64 x 3))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (.f64 (pow.f64 n 3) x))) (.f64 1/6 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))) (.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 1 (log.f64 (/.f64 1 x)))) (pow.f64 n 3))))) (pow.f64 x 2))))))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) 2) n) (/.f64 (cbrt.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (.f64 n n)))
(.f64 (/.f64 (sqrt.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) n) (/.f64 (sqrt.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (.f64 n n)))
(.f64 (/.f64 (sqrt.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (.f64 n n)) (/.f64 (sqrt.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) n))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) 2) (.f64 n n)) (/.f64 (cbrt.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) n))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) 1) (/.f64 1/6 (pow.f64 n 3)))
(*.f64 (/.f64 1/6 (pow.f64 n 3)) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (pow.f64 n 3)))
(.f64 (/.f64 (sqrt.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) 1) (/.f64 (sqrt.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (pow.f64 n 3)))
(*.f64 (/.f64 1/6 (pow.f64 n 3/2)) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3/2)))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3/2)) (/.f64 1/6 (pow.f64 n 3/2)))
(.f64 (/.f64 1 (pow.f64 n 3/2)) (/.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) 2) (pow.f64 n 3/2)) (/.f64 (cbrt.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (pow.f64 n 3/2)))
(pow.f64 (*.f64 1/6 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3))) 1)
(pow.f64 (pow.f64 (*.f64 1/6 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3))) 3) 1/3)
(pow.f64 (/.f64 (cbrt.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) n) 3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (pow.f64 n 3/2)) 2)
(pow.f64 (*.f64 6 (/.f64 (pow.f64 n 3) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) -1)
(neg.f64 (/.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (pow.f64 n 3))))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) 2) 1/36) (pow.f64 n 6)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3))))))
(cbrt.f64 (pow.f64 (*.f64 1/6 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 3) (pow.f64 (pow.f64 n 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/6 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))))
(log1p.f64 (expm1.f64 (*.f64 1/6 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))))
(exp.f64 (log.f64 (*.f64 1/6 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) 1)
(.f64 (log1p.f64 x) (.f64 (log1p.f64 x) (pow.f64 n -2)))
(*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2))
(*.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) 1)
(*.f64 1 (pow.f64 (/.f64 (log1p.f64 x) n) 2))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) (cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4))) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))
(.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 n -2)))
(*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log1p.f64 x) n))
(.f64 (neg.f64 (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (.f64 n (neg.f64 n))))
(*.f64 (pow.f64 n -2) (pow.f64 (log1p.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 1 n))
(.f64 (/.f64 (log1p.f64 x) 1) (/.f64 (log1p.f64 x) (.f64 n n)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (.f64 n n)))
(*.f64 (/.f64 1 n) (/.f64 (pow.f64 (log1p.f64 x) 2) n))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 n 4))) (/.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) n) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) n))
(*.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 n 4))) (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) (cbrt.f64 (pow.f64 n 4))) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) 1)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) 3) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) 3)
(pow.f64 (/.f64 (log1p.f64 x) n) 2)
(pow.f64 (/.f64 (*.f64 n n) (pow.f64 (log1p.f64 x) 2)) -1)
(neg.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n (neg.f64 n))))
(sqrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)))
(log.f64 (exp.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) 3))
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 6) (pow.f64 n 6)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))
(exp.f64 (log.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) 1))

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

eval1.1s (6.2%)

Compiler: Compiled 50495 to 29153 computations (42.3% saved)

prune441.0ms (2.6%)

Pruning

32 alts after pruning (30 fresh and 2 done)

	Pruned	Kept	Total
New	1378	28	1406
Fresh	10	2	12
Picked	1	0	1
Done	2	2	4
Total	1391	32	1423

Error

0.0b

Counts

1423 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	15.6b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
▶	16.0b	(/.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) n)
	15.9b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n)
	15.6b	(/.f64 (/.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))))) n)
	15.9b	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
	42.8b	(/.f64 (/.f64 1 x) n)
	42.8b	(/.f64 (/.f64 1 n) x)
	43.7b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	43.6b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))) n)
✓	15.5b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	37.0b	(/.f64 (-.f64 x (log.f64 x)) n)
	43.4b	(/.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))) n)
	15.6b	(/.f64 (.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)))))) n)
	37.1b	(/.f64 (neg.f64 (log.f64 x)) n)
▶	15.4b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	15.9b	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	31.4b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	15.9b	(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	15.7b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n)
▶	43.0b	(/.f64 1 (*.f64 x n))
	54.9b	(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))) (pow.f64 x (/.f64 1 n)))
▶	51.9b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
▶	40.7b	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
✓	45.8b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	43.6b	(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 -1/2 (.f64 x (.f64 x n))))
	43.4b	(+.f64 (/.f64 (/.f64 1 n) x) (-.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (/.f64 1/2 (.f64 x (*.f64 x n)))))
	38.4b	(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)))
	15.9b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n)))
	15.6b	(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
	15.6b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	31.5b	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
	40.7b	0

Compiler

Compiled 891 to 598 computations (32.9% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x 1) x)
✓	0.1b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
✓	2.5b	(log.f64 (/.f64 (+.f64 x 1) x))

Compiler

Compiled 27 to 17 computations (37% saved)

series22.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	n	@	0	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
4.0ms	n	@	inf	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
0.0ms	n	@	-inf	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
0.0ms	x	@	-inf	(log.f64 (/.f64 (+.f64 x 1) x))
0.0ms	x	@	-inf	(/.f64 (+.f64 x 1) x)

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	172	26
2	2386	26

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

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

Outputs

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

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

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

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

779×	`times-frac_binary64`
736×	`fma-def_binary64`
596×	`unswap-sqr_binary64`
277×	`log-prod_binary64`
163×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	268	1699
1	653	1629
2	2647	1489

Stop Event

1×	node limit

Counts

141 → 173

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite37.0ms (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 x n))

Outputs

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

simplify46.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

796×	`fma-neg_binary64`
386×	`exp-prod_binary64`
336×	`associate-/r/_binary64`
322×	`associate-l_binary64`
304×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	355
1	150	349
2	454	349
3	3174	349
4	6767	349

Stop Event

1×	node limit

Counts

47 → 27

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

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x (/.f64 1 n))
✓	3.9b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 32 to 17 computations (46.9% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
0.0ms	n	@	-inf	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
0.0ms	n	@	inf	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
0.0ms	n	@	0	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
0.0ms	x	@	0	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))

rewrite64.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

925×	`prod-diff_binary64`
496×	`log-prod_binary64`
428×	`fma-def_binary64`
276×	`pow2_binary64`
234×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	210	16
2	3051	16

Stop Event

1×	node limit

Counts

1 → 166

Calls

Call 1

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

Outputs

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simplify90.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

475×	`distribute-rgt-in_binary64`
439×	`distribute-lft-in_binary64`
333×	`fma-neg_binary64`
308×	`associate-/l*_binary64`
275×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	409	5248
1	1029	4904
2	2928	4582

Stop Event

1×	node limit

Counts

190 → 243

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x (/.f64 1 n))
✓	3.9b	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 30 to 14 computations (53.3% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

465×	`log-prod_binary64`
409×	`prod-diff_binary64`
288×	`pow-prod-down_binary64`
254×	`pow2_binary64`
224×	`pow-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	194	15
2	2649	15

Stop Event

1×	node limit

Counts

1 → 107

Calls

Call 1

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

Outputs

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simplify99.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

514×	`times-frac_binary64`
424×	`associate-/l*_binary64`
294×	`cancel-sign-sub-inv_binary64`
274×	`fma-neg_binary64`
240×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	3971
1	832	3665
2	2618	3408

Stop Event

1×	node limit

Counts

131 → 177

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

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) n)
✓	0.4b	(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)
✓	1.0b	(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3)
	2.6b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 42 to 18 computations (57.1% saved)

series11.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3)
2.0ms	n	@	0	(/.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) n)
1.0ms	x	@	-inf	(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3)
1.0ms	n	@	inf	(/.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) n)
0.0ms	x	@	0	(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

486×	`log-prod_binary64`
424×	`prod-diff_binary64`
297×	`pow-prod-down_binary64`
272×	`pow2_binary64`
203×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	249	30
2	2880	30

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

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

simplify90.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

563×	`unswap-sqr_binary64`
273×	`div-sub_binary64`
227×	`fma-neg_binary64`
205×	`sqr-pow_binary64`
205×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	524	3915
1	1344	3804
2	4601	3781

Stop Event

1×	node limit

Counts

214 → 284

Calls

Call 1

Inputs
(*.f64 (cbrt.f64 -1) (log.f64 x))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 x) 2))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2))) x))) (.f64 (cbrt.f64 -1) (log.f64 x)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 (log.f64 x)) (log.f64 x))) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 x) 2)) (.f64 -2 (log.f64 x)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (log.f64 x))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2))) 2)))) (pow.f64 x 2)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 x) 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 x) 2))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2))) x))) (*.f64 (cbrt.f64 -1) (log.f64 x))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 (log.f64 x)) (log.f64 x))) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 x) 2)) (.f64 -2 (log.f64 x)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (log.f64 x))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2))) 2)))) (pow.f64 x 2)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 x) 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 x) 2))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2))) x))) (+.f64 (.f64 (cbrt.f64 -1) (log.f64 x)) (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 1 (+.f64 (.f64 2 (log.f64 x)) (+.f64 (.f64 1/3 (pow.f64 (log.f64 x) 2)) (.f64 -1 (.f64 (-.f64 (.f64 -2/3 (log.f64 x)) 1) (log.f64 x)))))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 (log.f64 x) 5))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2))) (-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 (log.f64 x)) (log.f64 x))) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 x) 2)) (.f64 -2 (log.f64 x)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (log.f64 x))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2))) 2))))))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2))) 3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 x) 2)))))) (pow.f64 x 3)) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 x) 2)))))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 -1 (/.f64 (cbrt.f64 -1) x))
(+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) x)) (.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (.f64 1/3 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))))
(+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) 15/8)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 4)))) (.f64 1/3 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3)))))))
(*.f64 -1 (pow.f64 (log.f64 x) 3))
(+.f64 (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2))) x) (*.f64 -1 (pow.f64 (log.f64 x) 3)))
(+.f64 (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2))) x) (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 (log.f64 x)) (log.f64 x))) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 x) 2)) (.f64 -2 (log.f64 x)))) (pow.f64 x 2)) (.f64 -1 (pow.f64 (log.f64 x) 3))))
(+.f64 (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2))) x) (+.f64 (.f64 (+.f64 1 (+.f64 (.f64 2 (log.f64 x)) (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -2/3 (log.f64 x)) 1) (log.f64 x))) (.f64 1/3 (pow.f64 (log.f64 x) 2))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 (log.f64 x)) (log.f64 x))) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 x) 2)) (.f64 -2 (log.f64 x)))) (pow.f64 x 2)) (.f64 -1 (pow.f64 (log.f64 x) 3)))))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 7/4 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (.f64 3/2 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 7/4 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 3/2 (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 7/4 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (.f64 3/2 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 7/4 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 3/2 (/.f64 1 (pow.f64 x 4)))))
(*.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)
(+.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log.f64 x)) 1))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 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)))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 -1 (log.f64 x) (log.f64 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)))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 x))
(+.f64 0 (-.f64 (log1p.f64 x) (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))))
(-.f64 (log1p.f64 x) (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1)
(-.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))))
(-.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))))
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(*.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)))
(*.f64 (pow.f64 n -1/2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))
(*.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)))
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(pow.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3)) 1/3)
(pow.f64 (/.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 1) -1)
(neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2))
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) -1))

Outputs
(*.f64 (cbrt.f64 -1) (log.f64 x))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 x) 2))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2))) x))) (.f64 (cbrt.f64 -1) (log.f64 x)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (log.f64 x) 2))) (.f64 x (.f64 3 (pow.f64 (log.f64 x) 2)))) (.f64 (cbrt.f64 -1) (log.f64 x)))
(fma.f64 (cbrt.f64 -1) (log.f64 x) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 x) 2)))) (.f64 x (*.f64 (pow.f64 (log.f64 x) 2) 3)))))
(fma.f64 (cbrt.f64 -1) (log.f64 x) (.f64 (.f64 x (.f64 (pow.f64 (log.f64 x) 2) 3)) (.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (log.f64 x) 2))))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 (log.f64 x)) (log.f64 x))) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 x) 2)) (.f64 -2 (log.f64 x)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (log.f64 x))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2))) 2)))) (pow.f64 x 2)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 x) 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 x) 2))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2))) x))) (*.f64 (cbrt.f64 -1) (log.f64 x))))
(fma.f64 1/3 (.f64 (/.f64 (+.f64 (fma.f64 -1 (.f64 (log.f64 x) (+.f64 (log.f64 x) 1)) (fma.f64 -1/2 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 x) -2))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (log.f64 x)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 x) 2)) 2)))) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (.f64 x x) (pow.f64 (log.f64 x) 2))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (log.f64 x) 2))) (.f64 x (.f64 3 (pow.f64 (log.f64 x) 2)))) (.f64 (cbrt.f64 -1) (log.f64 x))))
(fma.f64 1/3 (.f64 (/.f64 (+.f64 (-.f64 (fma.f64 (pow.f64 (log.f64 x) 2) -1/2 (.f64 (log.f64 x) -2)) (.f64 (log.f64 x) (+.f64 (log.f64 x) 1))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (cbrt.f64 -1)) (log.f64 x))) (pow.f64 (.f64 (pow.f64 (log.f64 x) 2) 3) 2)) -1/3)) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 x (/.f64 (pow.f64 (log.f64 x) 2) x))) (fma.f64 (cbrt.f64 -1) (log.f64 x) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 x) 2)))) (.f64 x (*.f64 (pow.f64 (log.f64 x) 2) 3))))))
(fma.f64 1/3 (.f64 (/.f64 (+.f64 (fma.f64 (-.f64 -1 (log.f64 x)) (log.f64 x) (fma.f64 (pow.f64 (log.f64 x) 2) -1/2 (.f64 (log.f64 x) -2))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (cbrt.f64 -1)) (log.f64 x))) (.f64 9 (pow.f64 (log.f64 x) 4))) -1/3)) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 x (/.f64 (pow.f64 (log.f64 x) 2) x))) (fma.f64 (cbrt.f64 -1) (log.f64 x) (.f64 (.f64 x (.f64 (pow.f64 (log.f64 x) 2) 3)) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (log.f64 x) 2)))))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 (log.f64 x)) (log.f64 x))) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 x) 2)) (.f64 -2 (log.f64 x)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (log.f64 x))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2))) 2)))) (pow.f64 x 2)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 x) 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 x) 2))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2))) x))) (+.f64 (.f64 (cbrt.f64 -1) (log.f64 x)) (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 1 (+.f64 (.f64 2 (log.f64 x)) (+.f64 (.f64 1/3 (pow.f64 (log.f64 x) 2)) (.f64 -1 (.f64 (-.f64 (.f64 -2/3 (log.f64 x)) 1) (log.f64 x)))))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 (log.f64 x) 5))) 1/3) (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2))) (-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 (log.f64 x)) (log.f64 x))) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 x) 2)) (.f64 -2 (log.f64 x)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (log.f64 x))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2))) 2))))))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2))) 3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 x) 2)))))) (pow.f64 x 3)) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 x) 2)))))))
(fma.f64 1/3 (.f64 (/.f64 (+.f64 (fma.f64 -1 (.f64 (log.f64 x) (+.f64 (log.f64 x) 1)) (fma.f64 -1/2 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 x) -2))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (log.f64 x)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 x) 2)) 2)))) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (.f64 x x) (pow.f64 (log.f64 x) 2))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (log.f64 x) 2))) (.f64 x (.f64 3 (pow.f64 (log.f64 x) 2)))) (fma.f64 (cbrt.f64 -1) (log.f64 x) (/.f64 (.f64 1/3 (.f64 (+.f64 1 (-.f64 (fma.f64 2 (log.f64 x) (fma.f64 1/3 (pow.f64 (log.f64 x) 2) (neg.f64 (.f64 (log.f64 x) (fma.f64 -2/3 (log.f64 x) -1))))) (fma.f64 2/3 (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) (pow.f64 (log.f64 x) 5))) (.f64 3 (pow.f64 (log.f64 x) 2))) (+.f64 (fma.f64 -1 (.f64 (log.f64 x) (+.f64 (log.f64 x) 1)) (fma.f64 -1/2 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 x) -2))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (log.f64 x)))) (pow.f64 (.f64 3 (pow.f64 (log.f64 x) 2)) 2))))) (/.f64 (.f64 1/27 (pow.f64 (.f64 3 (pow.f64 (log.f64 x) 2)) 3)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 x) 2)))))) (pow.f64 x 3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 x) 2))))))
(fma.f64 1/3 (.f64 (/.f64 (+.f64 (-.f64 (fma.f64 (pow.f64 (log.f64 x) 2) -1/2 (.f64 (log.f64 x) -2)) (.f64 (log.f64 x) (+.f64 (log.f64 x) 1))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (cbrt.f64 -1)) (log.f64 x))) (pow.f64 (.f64 (pow.f64 (log.f64 x) 2) 3) 2)) -1/3)) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 x (/.f64 (pow.f64 (log.f64 x) 2) x))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 x) 2)))) (.f64 x (.f64 (pow.f64 (log.f64 x) 2) 3))) (fma.f64 (cbrt.f64 -1) (log.f64 x) (/.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 1 (-.f64 (+.f64 (.f64 1/3 (pow.f64 (log.f64 x) 2)) (.f64 (log.f64 x) (+.f64 2 (neg.f64 (fma.f64 (log.f64 x) -2/3 -1))))) (fma.f64 2/3 (.f64 (+.f64 (-.f64 (fma.f64 (pow.f64 (log.f64 x) 2) -1/2 (.f64 (log.f64 x) -2)) (.f64 (log.f64 x) (+.f64 (log.f64 x) 1))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (cbrt.f64 -1)) (log.f64 x))) (pow.f64 (.f64 (pow.f64 (log.f64 x) 2) 3) 2)) -1/3)) (.f64 (.f64 (pow.f64 (log.f64 x) 2) 3) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 (log.f64 x) 5)))))) (.f64 1/27 (/.f64 (pow.f64 (.f64 (pow.f64 (log.f64 x) 2) 3) 3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 x) 2)))))))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 x) 2))))))
(fma.f64 1/3 (.f64 (/.f64 (+.f64 (fma.f64 (-.f64 -1 (log.f64 x)) (log.f64 x) (fma.f64 (pow.f64 (log.f64 x) 2) -1/2 (.f64 (log.f64 x) -2))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (cbrt.f64 -1)) (log.f64 x))) (.f64 9 (pow.f64 (log.f64 x) 4))) -1/3)) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 x (/.f64 (pow.f64 (log.f64 x) 2) x))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (log.f64 x) 2))) (.f64 x (.f64 (pow.f64 (log.f64 x) 2) 3))) (fma.f64 (cbrt.f64 -1) (log.f64 x) (.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 2)) (/.f64 (+.f64 1 (+.f64 (.f64 (log.f64 x) (-.f64 2 (fma.f64 (log.f64 x) -2/3 -1))) (-.f64 (.f64 1/3 (pow.f64 (log.f64 x) 2)) (fma.f64 (.f64 2/3 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) (pow.f64 (log.f64 x) 5)))) (.f64 (.f64 (pow.f64 (log.f64 x) 2) 3) (+.f64 (fma.f64 (-.f64 -1 (log.f64 x)) (log.f64 x) (fma.f64 (pow.f64 (log.f64 x) 2) -1/2 (.f64 (log.f64 x) -2))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (cbrt.f64 -1)) (log.f64 x))) (.f64 9 (pow.f64 (log.f64 x) 4))) -1/3))) (.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (pow.f64 (.f64 (pow.f64 (log.f64 x) 2) 3) 3) (pow.f64 (log.f64 x) 2))))))) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3)))))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.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 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 (/.f64 (cbrt.f64 -1) x))
(neg.f64 (/.f64 (cbrt.f64 -1) x))
(/.f64 (neg.f64 (cbrt.f64 -1)) x)
(+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) x)) (.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (/.f64 (cbrt.f64 -1) x) (.f64 -1/2 (.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))
(-.f64 (.f64 -1/2 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 x x))) (/.f64 (cbrt.f64 -1) x))
(-.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 -1/2 (.f64 x x))) (/.f64 (cbrt.f64 -1) x))
(+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (.f64 1/3 (/.f64 (+.f64 7/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))))
(fma.f64 -1 (/.f64 (cbrt.f64 -1) x) (fma.f64 -1/2 (.f64 (/.f64 1 (.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (.f64 1/3 (/.f64 (+.f64 7/4 (.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))))
(-.f64 (fma.f64 1/3 (/.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))) (.f64 -1/2 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 x x)))) (/.f64 (cbrt.f64 -1) x))
(-.f64 (fma.f64 1/3 (/.f64 (fma.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 7/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 -1/2 (*.f64 x x)))) (/.f64 (cbrt.f64 -1) x))
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(/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) 3) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)) 3))
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(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))
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(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)
(exp.f64 (.f64 (.f64 2 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 3/2))
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 9)) 1/3))
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)
(exp.f64 (.f64 (.f64 3/2 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2))
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)
(fma.f64 (log1p.f64 x) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2) (*.f64 (neg.f64 (log.f64 x)) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)))
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)
(fma.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2) (log1p.f64 x) (*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2) (neg.f64 (log.f64 x))))
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)
(+.f64 0 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
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(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n))) 2)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n))))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
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(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))
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(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 (neg.f64 n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (pow.f64 (cbrt.f64 n) -2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) (pow.f64 (cbrt.f64 n) 2))
(*.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)))
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(*.f64 (pow.f64 n -1/2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))
(/.f64 (*.f64 (pow.f64 n -1/2) (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n))
(/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 n -1/2)) (sqrt.f64 n))
(*.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)))
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2) 1/2)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3)) 1/3)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 1) -1)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1/3))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 3))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 2))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(exp.f64 (*.f64 (log.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) -1))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

eval501.0ms (2.9%)

Compiler: Compiled 23690 to 13368 computations (43.6% saved)

prune317.0ms (1.9%)

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	1033	11	1044
Fresh	8	17	25
Picked	1	0	1
Done	1	5	6
Total	1043	33	1076

Error

0.0b

Counts

1076 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	15.6b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
	43.1b	(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x n))) 3)
	15.9b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n)
	41.4b	(/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n)) (sqrt.f64 n))
	18.0b	(/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
	42.8b	(/.f64 (/.f64 1 x) n)
	42.8b	(/.f64 (/.f64 1 n) x)
	43.7b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
✓	15.5b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	15.6b	(/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) n)
▶	37.1b	(/.f64 (neg.f64 (log.f64 x)) n)
	17.5b	(/.f64 (log1p.f64 (/.f64 1 x)) n)
	15.9b	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	31.4b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
▶	15.9b	(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	15.7b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n)
▶	60.9b	(/.f64 x n)
✓	43.0b	(/.f64 1 (*.f64 x n))
	43.7b	(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (*.f64 x x)))
	54.9b	(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))) (pow.f64 x (/.f64 1 n)))
✓	51.9b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	47.1b	(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
✓	40.7b	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
✓	45.8b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	43.4b	(+.f64 (/.f64 (/.f64 1 n) x) (-.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (/.f64 (/.f64 1/2 n) (.f64 x x))))
	38.4b	(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)))
	15.9b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n)))
	15.6b	(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
▶	15.6b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	31.5b	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
	54.5b	(exp.f64 (neg.f64 (log.f64 (*.f64 x n))))
▶	48.4b	(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3))
	40.7b	0

Compiler

Compiled 749 to 514 computations (31.4% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	2.6b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	185	11
2	2435	11

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify40.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

773×	`times-frac_binary64`
596×	`associate-l_binary64`
463×	`associate-/r*_binary64`
413×	`associate-/l*_binary64`
232×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	1124
1	453	1108
2	1494	1104

Stop Event

1×	node limit

Counts

64 → 74

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite39.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify38.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

552×	`log-prod_binary64`
491×	`fma-def_binary64`
484×	`associate-l_binary64`
436×	`associate-r_binary64`
231×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	94	598
1	223	517
2	705	436
3	4618	436

Stop Event

1×	node limit

Counts

59 → 43

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (/.f64 1 (*.f64 x n)) 3)
	0.4b	(/.f64 1 (*.f64 x n))
✓	24.2b	(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3))

Compiler

Compiled 29 to 16 computations (44.8% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3))
2.0ms	n	@	-inf	(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3))
1.0ms	x	@	0	(pow.f64 (/.f64 1 (*.f64 x n)) 3)
1.0ms	n	@	0	(pow.f64 (/.f64 1 (*.f64 x n)) 3)
1.0ms	n	@	-inf	(pow.f64 (/.f64 1 (*.f64 x n)) 3)

rewrite49.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

721×	`pow1_binary64`
679×	`add-log-exp_binary64`
678×	`log1p-expm1-u_binary64`
678×	`expm1-log1p-u_binary64`
661×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	190	14
2	1979	14

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

Outputs

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

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

simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

714×	`fabs-div_binary64`
618×	`associate-*r/_binary64`
535×	`unswap-sqr_binary64`
319×	`associate-/l/_binary64`
311×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	1135
1	379	1084
2	1406	1057
3	6332	1050

Stop Event

1×	node limit

Counts

115 → 87

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
✓	0.1b	(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
✓	0.7b	(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
	2.6b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 35 to 8 computations (77.1% saved)

series5.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
0.0ms	x	@	inf	(log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
0.0ms	x	@	-inf	(log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
0.0ms	x	@	0	(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
0.0ms	x	@	inf	(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

947×	`pow1_binary64`
878×	`add-log-exp_binary64`
878×	`expm1-log1p-u_binary64`
877×	`log1p-expm1-u_binary64`
858×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	175	29
2	2341	29

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

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

Outputs

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

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

simplify75.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

548×	`unswap-sqr_binary64`
505×	`times-frac_binary64`
460×	`distribute-rgt-in_binary64`
400×	`fma-neg_binary64`
243×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	315	2192
1	803	2147
2	3082	2145

Stop Event

1×	node limit

Counts

142 → 203

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 -1 (log.f64 x))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(log.f64 (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (neg.f64 (log.f64 x))) (*.f64 -1 (/.f64 x (log.f64 x))))
(+.f64 (log.f64 (neg.f64 (log.f64 x))) (+.f64 (.f64 -1 (/.f64 x (log.f64 x))) (.f64 1/2 (*.f64 (-.f64 (/.f64 1 (log.f64 x)) (/.f64 1 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2)))))
(+.f64 (log.f64 (neg.f64 (log.f64 x))) (+.f64 (.f64 1/6 (.f64 (-.f64 (.f64 3 (/.f64 1 (pow.f64 (log.f64 x) 2))) (+.f64 (.f64 2 (/.f64 1 (log.f64 x))) (.f64 2 (/.f64 1 (pow.f64 (log.f64 x) 3))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 x (log.f64 x))) (.f64 1/2 (.f64 (-.f64 (/.f64 1 (log.f64 x)) (/.f64 1 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2))))))
(log.f64 (/.f64 1 x))
(-.f64 (log.f64 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 5/24 (/.f64 1 (pow.f64 x 2))) (log.f64 (/.f64 1 x))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 5/24 (/.f64 1 (pow.f64 x 2))) (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 5/24 (/.f64 1 (pow.f64 x 2))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 5/24 (/.f64 1 (pow.f64 x 2))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log.f64 x)) 1))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 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)))
(+.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)))
(+.f64 1 (-.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 x))
(-.f64 (log1p.f64 x) (log.f64 x))
(-.f64 (+.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) (/.f64 (pow.f64 (log.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))
(-.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))))
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)
(*.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 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))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 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))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))
(/.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)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log1p.f64 x) (log.f64 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))))))
(/.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))))
(/.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))))))
(/.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))))
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))
(log.f64 (/.f64 (+.f64 x 1) x))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(log1p.f64 (-.f64 (/.f64 (+.f64 x 1) x) 1))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x)))
(-.f64 (+.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1)
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)
(*.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 (neg.f64 n)))
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
(.f64 (/.f64 1 (cbrt.f64 (.f64 n n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (.f64 n n))) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 (.f64 n n))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))
(*.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)))
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2))
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(+.f64 0 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (log.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(-.f64 (+.f64 1 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (log.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))
(*.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1)
(*.f64 1 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(pow.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1)
(pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(log1p.f64 (-.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1))
(exp.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))

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

eval137.0ms (0.8%)

Compiler: Compiled 8352 to 4048 computations (51.5% saved)

prune141.0ms (0.8%)

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	561	9	570
Fresh	6	17	23
Picked	1	0	1
Done	2	7	9
Total	570	33	603

Error

0.0b

Counts

603 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	43.1b	(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x n))) 3)
	15.9b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n)
	18.0b	(/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
	42.8b	(/.f64 (/.f64 1 x) n)
	42.8b	(/.f64 (/.f64 1 n) x)
	43.7b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
✓	15.5b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	15.6b	(/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) n)
	15.6b	(/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 n (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
✓	37.1b	(/.f64 (neg.f64 (log.f64 x)) n)
	17.5b	(/.f64 (log1p.f64 (/.f64 1 x)) n)
	15.9b	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	31.4b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	43.4b	(/.f64 (exp.f64 (log.f64 (/.f64 1 x))) n)
	38.7b	(/.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) n)
	15.7b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n)
✓	60.9b	(/.f64 x n)
	15.6b	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
✓	43.0b	(/.f64 1 (*.f64 x n))
	43.7b	(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 (/.f64 1/2 x) x) n))
	54.9b	(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))) (pow.f64 x (/.f64 1 n)))
✓	51.9b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	47.1b	(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
✓	40.7b	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
✓	45.8b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	38.4b	(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)))
	43.4b	(.f64 (/.f64 1 n) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (.f64 x x)))))
	37.1b	(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
	15.9b	(*.f64 (/.f64 1 n) (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
	31.5b	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
	54.5b	(exp.f64 (neg.f64 (log.f64 (*.f64 x n))))
	48.4b	(cbrt.f64 (pow.f64 (*.f64 n x) -3))
	40.7b	0

Compiler

Compiled 380 to 267 computations (29.7% saved)

regimes322.0ms (1.9%)

Counts

66 → 3

Calls

Call 1

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

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

Calls

6 calls:

74.0ms	(/.f64 1 n)
74.0ms	(/.f64 1 n)
74.0ms	n
52.0ms	x
10.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
1.8b	2	`x`
1.3b	3	`n`
10.2b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
10.2b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
0.9b	3	`(/.f64 1 n)`
0.9b	3	`(/.f64 1 n)`

Compiler

Compiled 1181 to 632 computations (46.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.4549603094751e-9	9894583261.270134
0.0ms	-6.766575174062166e-11	-1.1974595154533974e-11

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes176.0ms (1%)

Counts

33 → 3

Calls

Call 1

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

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

Calls

4 calls:

54.0ms	n
42.0ms	(/.f64 1 n)
42.0ms	(/.f64 1 n)
28.0ms	x

Results

Error	Segments	Branch
1.8b	2	`x`
1.0b	4	`n`
1.0b	3	`(/.f64 1 n)`
1.0b	3	`(/.f64 1 n)`

Compiler

Compiled 349 to 201 computations (42.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.4549603094751e-9	9894583261.270134
0.0ms	-6.766575174062166e-11	-1.1974595154533974e-11

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes179.0ms (1.1%)

Counts

32 → 4

Calls

Call 1

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

Outputs
(/.f64 (log1p.f64 (/.f64 1 x)) n)
0
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)

Calls

4 calls:

50.0ms	n
44.0ms	(/.f64 1 n)
38.0ms	(/.f64 1 n)
38.0ms	x

Results

Error	Segments	Branch
6.8b	3	`x`
1.5b	4	`n`
1.5b	3	`(/.f64 1 n)`
1.5b	3	`(/.f64 1 n)`

Compiler

Compiled 340 to 199 computations (41.5% saved)

bsearch449.0ms (2.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
53.0ms	1.0106539847051967e-10	224468890.9737613
354.0ms	-2.901658493303655e-287	2.2802353147999262e-287
41.0ms	-227.61253888107015	-3.946439819632837e-6

Results

197.0ms	216×	body	1024	infinite
67.0ms	397×	body	256	unsamplable
37.0ms	26×	body	2048	valid
37.0ms	80×	body	512	infinite
35.0ms	203×	body	256	valid
35.0ms	75×	body	1024	valid
24.0ms	120×	body	256	infinite
10.0ms	37×	body	512	valid

Compiler

Compiled 403 to 312 computations (22.6% saved)

regimes96.0ms (0.6%)

Counts

16 → 4

Calls

Call 1

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

Outputs
(/.f64 (log1p.f64 (/.f64 1 x)) n)
0
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)

Calls

4 calls:

29.0ms	n
24.0ms	(/.f64 1 n)
22.0ms	(/.f64 1 n)
16.0ms	x

Results

Error	Segments	Branch
12.3b	2	`x`
1.6b	4	`n`
1.6b	3	`(/.f64 1 n)`
1.6b	3	`(/.f64 1 n)`

Compiler

Compiled 135 to 83 computations (38.5% saved)

bsearch357.0ms (2.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
48.0ms	1.0106539847051967e-10	224468890.9737613
267.0ms	-2.901658493303655e-287	2.2802353147999262e-287
42.0ms	-227.61253888107015	-3.946439819632837e-6

Results

143.0ms	155×	body	1024	infinite
50.0ms	276×	body	256	unsamplable
37.0ms	212×	body	256	valid
32.0ms	64×	body	512	infinite
31.0ms	70×	body	1024	valid
28.0ms	21×	body	2048	valid
22.0ms	110×	body	256	infinite
9.0ms	33×	body	512	valid

Compiler

Compiled 355 to 288 computations (18.9% saved)

regimes68.0ms (0.4%)

Counts

14 → 3

Calls

Call 1

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

Outputs
(/.f64 (log1p.f64 (/.f64 1 x)) n)
0
(/.f64 (log1p.f64 (/.f64 1 x)) n)

Calls

4 calls:

20.0ms	n
16.0ms	(/.f64 1 n)
14.0ms	(/.f64 1 n)
14.0ms	x

Results

Error	Segments	Branch
12.3b	2	`x`
6.6b	3	`n`
6.6b	2	`(/.f64 1 n)`
6.6b	2	`(/.f64 1 n)`

Compiler

Compiled 120 to 73 computations (39.2% saved)

bsearch308.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
269.0ms	-2.901658493303655e-287	2.2802353147999262e-287
39.0ms	-227.61253888107015	-3.946439819632837e-6

Results

151.0ms	159×	body	1024	infinite
47.0ms	265×	body	256	unsamplable
31.0ms	65×	body	512	infinite
24.0ms	15×	body	2048	valid
19.0ms	120×	body	256	valid
18.0ms	93×	body	256	infinite
11.0ms	24×	body	1024	valid
4.0ms	16×	body	512	valid

Compiler

Compiled 150 to 125 computations (16.7% saved)

regimes118.0ms (0.7%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

4 calls:

34.0ms	(/.f64 1 n)
33.0ms	(/.f64 1 n)
28.0ms	n
17.0ms	x

Results

Error	Segments	Branch
13.2b	3	`x`
24.6b	5	`n`
23.3b	6	`(/.f64 1 n)`
23.3b	6	`(/.f64 1 n)`

Compiler

Compiled 101 to 64 computations (36.6% saved)

bsearch268.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
89.0ms	7.671695614177039e+135	4.204049749633358e+144
178.0ms	3.371076505184121e-5	1.7090802602107413

Results

102.0ms	129×	body	1024	valid
83.0ms	59×	body	256	infinite
44.0ms	69×	body	2048	valid
28.0ms	56×	body	256	valid
4.0ms	18×	body	512	valid
3.0ms	17×	body	256	unsamplable

Compiler

Compiled 358 to 269 computations (24.9% saved)

regimes54.0ms (0.3%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	n
12.0ms	(/.f64 1 n)
12.0ms	(/.f64 1 n)
11.0ms	x

Results

Error	Segments	Branch
37.7b	2	`x`
31.9b	3	`n`
31.9b	2	`(/.f64 1 n)`
31.9b	2	`(/.f64 1 n)`

Compiler

Compiled 96 to 61 computations (36.5% saved)

bsearch182.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
122.0ms	6.189904671252509e-90	1.4379937187170168e-84
60.0ms	-227.61253888107015	-3.946439819632837e-6

Results

74.0ms	159×	body	512	valid
41.0ms	218×	body	256	unsamplable
35.0ms	93×	body	256	valid
16.0ms	34×	body	1024	valid
9.0ms	45×	body	256	infinite
2.0ms	2×	body	2048	valid
1.0ms	2×	body	512	infinite

Compiler

Compiled 236 to 195 computations (17.4% saved)

regimes56.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

Inputs
0
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)

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

Calls

3 calls:

14.0ms	n
7.0ms	(/.f64 1 n)
7.0ms	x

Results

Error	Segments	Branch
37.7b	2	`x`
31.9b	3	`n`
31.9b	2	`(/.f64 1 n)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

bsearch192.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
149.0ms	6.189904671252509e-90	1.4379937187170168e-84
43.0ms	-227.61253888107015	-3.946439819632837e-6

Results

111.0ms	154×	body	512	valid
33.0ms	177×	body	256	unsamplable
19.0ms	101×	body	256	valid
15.0ms	33×	body	1024	valid
9.0ms	47×	body	256	infinite
0.0ms	1×	body	512	infinite

Compiler

Compiled 236 to 195 computations (17.4% saved)

regimes25.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
0
(/.f64 x n)
(/.f64 1 (*.f64 x n))

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

Calls

2 calls:

13.0ms	x
11.0ms	n

Results

Error	Segments	Branch
36.8b	4	`x`
32.1b	3	`n`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch297.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
245.0ms	6.189904671252509e-90	1.4379937187170168e-84
52.0ms	-227.61253888107015	-3.946439819632837e-6

Results

178.0ms	162×	body	512	valid
43.0ms	47×	body	256	infinite
29.0ms	162×	body	256	unsamplable
26.0ms	91×	body	256	valid
15.0ms	34×	body	1024	valid
1.0ms	1×	body	2048	valid
1.0ms	1×	body	512	infinite

Compiler

Compiled 236 to 195 computations (17.4% saved)

regimes7.0ms (0%)

Accuracy

Total -20.9b remaining (-51.2%)

Threshold costs -20.9b (-51.2%)

Counts

2 → 1

Calls

Call 1

Inputs
0
(/.f64 x n)

Outputs
0

Calls

2 calls:

4.0ms	n
3.0ms	x

Results

Error	Segments	Branch
40.7b	1	`x`
40.7b	1	`n`

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify41.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
9×	`sub-neg_binary64`
6×	`*-commutative_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	363
1	95	363
2	109	363
3	121	363
4	126	363
5	127	363

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 1 n) -7737125245533627/154742504910672534362390528) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 3022314549036573/604462909807314587353088) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -7737125245533627/154742504910672534362390528) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 3022314549036573/604462909807314587353088) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 n -8) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 1436534831372581/2945340432158418383223693624588738123559693482299075088767878449688292160397327779966295692450325070170031945807812908771881611572255401942922812303597144053805349165872996110766935565946816006053119311086960734516644260779498911850068592403100913453684334767056261910363295677456051671938422478104563288264146944) 0 (if (<=.f64 n 3200000) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -17/2) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 1436534831372581/2945340432158418383223693624588738123559693482299075088767878449688292160397327779966295692450325070170031945807812908771881611572255401942922812303597144053805349165872996110766935565946816006053119311086960734516644260779498911850068592403100913453684334767056261910363295677456051671938422478104563288264146944) 0 (if (<=.f64 n 28000000) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -6980579422424269/1125899906842624) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -207463657072029/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) 0 (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(if (<=.f64 x 5944751508129055/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 19500000000000000246421111140507893564905221456480888324760920765333959940875683929562174077899122435524245921223977724619283200453202541543424) (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) 0))
(if (<=.f64 n -4165829655317709/562949953421312) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 3105896029191877/2187250724783011924372502227117621365353169430893212436425770606409952999199375923223513177023053824) 0 (/.f64 (/.f64 1 x) n)))
(if (<=.f64 n -10) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 3105896029191877/2187250724783011924372502227117621365353169430893212436425770606409952999199375923223513177023053824) 0 (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -27/2) (/.f64 1 (.f64 x n)) (if (<=.f64 n 3105896029191877/2187250724783011924372502227117621365353169430893212436425770606409952999199375923223513177023053824) 0 (/.f64 1 (.f64 x n))))
0

Outputs
(if (<=.f64 (/.f64 1 n) -7737125245533627/154742504910672534362390528) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 3022314549036573/604462909807314587353088) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -7737125245533627/154742504910672534362390528) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (if (<=.f64 (/.f64 1 n) 3022314549036573/604462909807314587353088) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -7737125245533627/154742504910672534362390528) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 3022314549036573/604462909807314587353088) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -7737125245533627/154742504910672534362390528) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (if (<=.f64 (/.f64 1 n) 3022314549036573/604462909807314587353088) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 n -8) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 1436534831372581/2945340432158418383223693624588738123559693482299075088767878449688292160397327779966295692450325070170031945807812908771881611572255401942922812303597144053805349165872996110766935565946816006053119311086960734516644260779498911850068592403100913453684334767056261910363295677456051671938422478104563288264146944) 0 (if (<=.f64 n 3200000) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -8) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 1436534831372581/2945340432158418383223693624588738123559693482299075088767878449688292160397327779966295692450325070170031945807812908771881611572255401942922812303597144053805349165872996110766935565946816006053119311086960734516644260779498911850068592403100913453684334767056261910363295677456051671938422478104563288264146944) 0 (if (<=.f64 n 3200000) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -17/2) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 1436534831372581/2945340432158418383223693624588738123559693482299075088767878449688292160397327779966295692450325070170031945807812908771881611572255401942922812303597144053805349165872996110766935565946816006053119311086960734516644260779498911850068592403100913453684334767056261910363295677456051671938422478104563288264146944) 0 (if (<=.f64 n 28000000) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -6980579422424269/1125899906842624) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -207463657072029/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) 0 (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(if (<=.f64 x 5944751508129055/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 19500000000000000246421111140507893564905221456480888324760920765333959940875683929562174077899122435524245921223977724619283200453202541543424) (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) 0))
(if (<=.f64 n -4165829655317709/562949953421312) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 3105896029191877/2187250724783011924372502227117621365353169430893212436425770606409952999199375923223513177023053824) 0 (/.f64 (/.f64 1 x) n)))
(if (<=.f64 n -10) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 3105896029191877/2187250724783011924372502227117621365353169430893212436425770606409952999199375923223513177023053824) 0 (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -27/2) (/.f64 1 (.f64 x n)) (if (<=.f64 n 3105896029191877/2187250724783011924372502227117621365353169430893212436425770606409952999199375923223513177023053824) 0 (/.f64 1 (.f64 x n))))
(if (<=.f64 n -27/2) (/.f64 1 (.f64 n x)) (if (<=.f64 n 3105896029191877/2187250724783011924372502227117621365353169430893212436425770606409952999199375923223513177023053824) 0 (/.f64 1 (.f64 n x))))
0

Compiler

Compiled 267 to 190 computations (28.8% saved)

soundness353.0ms (2.1%)

Algorithm

4×	egg-herbie

Rules

779×	`times-frac_binary64`
736×	`fma-def_binary64`
718×	`times-frac_binary64`
718×	`times-frac_binary64`
718×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	470	6370
1	1183	5813
2	3788	5495
0	470	6370
1	1183	5813
2	3788	5495
0	268	1699
1	653	1629
2	2647	1489
0	470	6370
1	1183	5813
2	3788	5495

Stop Event

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

Compiler

Compiled 261 to 189 computations (27.6% saved)

end150.0ms (0.9%)

Compiler: Compiled 249 to 163 computations (34.5% saved)