Details

analyze289.0ms (1.5%)

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 (35.4%)

Results

2.0s	2751×	body	1024	valid
1.3s	1779×	body	2048	valid
1.3s	1485×	body	1024	invalid
603.0ms	1256×	body	512	valid
483.0ms	2470×	body	256	valid
397.0ms	724×	body	512	invalid
180.0ms	1291×	body	256	invalid
175.0ms	808×	body	256	infinite
154.0ms	166×	body	1024	infinite
118.0ms	246×	body	512	infinite
83.0ms	344×	body	256	unsamplable
5.0ms	5×	body	2048	invalid

Bogosity

preprocess86.0ms (0.4%)

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)

simplify45.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	42	19
3	104	19
4	341	19
5	1130	19
6	3419	19
7	6556	19

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

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

29.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.5b	(-.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))
✓	2.2b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

series83.0ms (0.4%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
43.0ms	x	@	-inf	(pow.f64 x (/.f64 1 n))
21.0ms	x	@	0	(pow.f64 x (/.f64 1 n))
6.0ms	x	@	inf	(pow.f64 x (/.f64 1 n))
3.0ms	x	@	-inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
2.0ms	x	@	inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	207	32
2	2853	32

Stop Event

1×	node limit

Counts

3 → 157

Calls

Call 1

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

Outputs
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Outputs

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simplify154.0ms (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))

eval206.0ms (1.1%)

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

prune132.0ms (0.7%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	290	24	314
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	291	24	315

Error

0.4b

Counts

315 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	27.2b	(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)))))
	30.1b	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
	29.9b	(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2)
	29.3b	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
	41.0b	(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (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)))
	41.0b	(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
▶	20.9b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	29.3b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
▶	41.0b	(/.f64 1 (/.f64 (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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n)))))
	27.2b	(-.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)))))
	46.8b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	28.6b	(-.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)))))))
	28.6b	(-.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)))))
	29.3b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
▶	40.8b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	36.9b	(+.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))))))
	36.1b	(+.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))))
	27.2b	(+.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)))
	37.9b	(+.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))))))
▶	29.9b	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
	29.6b	(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
	29.6b	(log.f64 (/.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (exp.f64 (pow.f64 x (/.f64 1 n)))))
▶	29.6b	(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
	29.9b	(exp.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))

Compiler

Compiled 1508 to 1010 computations (33% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓	4.0b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 20 to 6 computations (70% saved)

series93.0ms (0.5%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
80.0ms	n	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
9.0ms	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)

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	154	19
2	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
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((#(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)))))))

simplify73.0ms (0.4%)

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))
✓	3.5b	(-.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	@	0	(-.f64 1 (pow.f64 x (/.f64 1 n)))
0.0ms	x	@	-inf	(-.f64 1 (pow.f64 x (/.f64 1 n)))

rewrite49.0ms (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)))))

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (/.f64 (log1p.f64 x) n))
✓	0.1b	(/.f64 (log1p.f64 x) n)
✓	2.2b	(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
✓	2.4b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 60 to 26 computations (56.7% saved)

series12.0ms (0.1%)

Counts

4 → 92

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	n	@	-inf	(/.f64 (log1p.f64 x) n)
1.0ms	x	@	-inf	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
1.0ms	x	@	inf	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
0.0ms	x	@	inf	(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
0.0ms	x	@	-inf	(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))

rewrite105.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	236	48
2	3039	48

Stop Event

1×	node limit

Counts

4 → 326

Calls

Call 1

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

Outputs
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simplify225.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

482×	`log-prod_binary64`
432×	`fma-def_binary64`
356×	`exp-prod_binary64`
263×	`associate-r_binary64`
244×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	658	13265
1	1761	12245
2	6837	12223

Stop Event

1×	node limit

Counts

418 → 430

Calls

Call 1

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

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

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (log1p.f64 x) n)
✓	0.2b	(cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
✓	2.3b	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
	2.4b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 91 to 43 computations (52.7% saved)

series62.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
18.0ms	n	@	0	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
11.0ms	x	@	inf	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
9.0ms	x	@	-inf	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
8.0ms	n	@	inf	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
7.0ms	n	@	-inf	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

612×	`log-prod_binary64`
444×	`prod-diff_binary64`
331×	`pow2_binary64`
248×	`fma-def_binary64`
247×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	264	41
2	3403	41

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 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simplify217.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

602×	`fma-def_binary64`
353×	`associate-r_binary64`
345×	`*-commutative_binary64`
299×	`+-commutative_binary64`
280×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	646	13402
1	1990	12496
2	7938	12496

Stop Event

1×	node limit

Counts

116 → 190

Calls

Call 1

Inputs
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/3))
(+.f64 (log.f64 (pow.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/3)) (.f64 1/3 (.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 4) 1) 1/9) (/.f64 x n))))
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(.f64 (sqrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(.f64 3 (.f64 1/3 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(.f64 2 (.f64 1/6 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(pow.f64 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 1)
(pow.f64 (pow.f64 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 1/3)))
(exp.f64 (log.f64 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 1))
(+.f64 0 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))) 2)) (log.f64 (cbrt.f64 (exp.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 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))) 1)
(*.f64 1 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 1)
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) (cbrt.f64 (exp.f64 (.f64 2/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(.f64 (cbrt.f64 (exp.f64 (.f64 2/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) (cbrt.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(*.f64 (pow.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 1/6) (pow.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(.f64 (pow.f64 (E.f64) (.f64 1/6 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (pow.f64 (E.f64) (*.f64 1/6 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(.f64 (pow.f64 (E.f64) (.f64 2 (.f64 1/3 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))) (pow.f64 (E.f64) (.f64 1/3 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(/.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (exp.f64 (pow.f64 x (/.f64 1 n)))))
(pow.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 1)
(pow.f64 (E.f64) (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(pow.f64 (exp.f64 (*.f64 2/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) 3)
(pow.f64 (pow.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 1/6) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2))) (cbrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) (sqrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(pow.f64 (cbrt.f64 (E.f64)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) (cbrt.f64 (pow.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2))) (cbrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) (sqrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2))) 1) (cbrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2))) (cbrt.f64 (sqrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2))) (sqrt.f64 (cbrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) 1) (sqrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) (cbrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) (sqrt.f64 (sqrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))) (sqrt.f64 (sqrt.f64 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(sqrt.f64 (exp.f64 (*.f64 2/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(exp.f64 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(exp.f64 (*.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 1/3))

Outputs
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))))
(*.f64 1/3 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/3)) (.f64 1/3 (.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 4) 1) 1/9) (/.f64 x n))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))) (.f64 1/3 (.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 4) 1/18) (pow.f64 (pow.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 4) 1/18)) (/.f64 x n))))
(.f64 1/3 (+.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 4) 1/18) (pow.f64 (pow.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 4) 1/18)) (/.f64 x n))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/3)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 4) 1) 1/9) (/.f64 x n))) (.f64 1/2 (.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 8) 1) 1/9) (/.f64 1 (pow.f64 n 2)))) (.f64 2/3 (/.f64 (-.f64 (.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (-.f64 (/.f64 1 (pow.f64 n 2)) (.f64 1/2 (/.f64 1 n)))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 17) 1) 1/9) (/.f64 1 (pow.f64 n 2))))) (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))))) (pow.f64 x 2)))))
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(pow.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) 1/3)
(cbrt.f64 (exp.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))
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1
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1
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(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) 3)
(cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(pow.f64 (pow.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 1/6) 2)
(cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2))) (cbrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) (sqrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(pow.f64 (cbrt.f64 (E.f64)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) (cbrt.f64 (pow.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2))) (cbrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) (sqrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2))) 1) (cbrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2))) (cbrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2))) (cbrt.f64 (sqrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2))) (sqrt.f64 (cbrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) 1) (sqrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) (cbrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) (sqrt.f64 (sqrt.f64 (.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))) (sqrt.f64 (sqrt.f64 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(sqrt.f64 (exp.f64 (*.f64 2/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(sqrt.f64 (pow.f64 (exp.f64 2/3) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))))
(cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(exp.f64 (*.f64 1/3 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(exp.f64 (*.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 1/3))
(cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))

localize56.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(exp.f64 (/.f64 (log1p.f64 x) n))
	0.1b	(/.f64 (log1p.f64 x) n)
✓	0.5b	(/.f64 (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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))
✓	3.6b	(-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n)))

Compiler

Compiled 174 to 78 computations (55.2% saved)

series66.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	x	@	0	(/.f64 (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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))
9.0ms	x	@	-inf	(/.f64 (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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))
9.0ms	n	@	inf	(/.f64 (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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))
8.0ms	x	@	inf	(/.f64 (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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))
7.0ms	n	@	-inf	(/.f64 (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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))

rewrite115.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`fma-def_binary64`
340×	`expm1-udef_binary64`
340×	`log1p-udef_binary64`
282×	`fma-neg_binary64`
208×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	79
1	427	40
2	5751	40

Stop Event

1×	node limit

Counts

2 → 135

Calls

Call 1

Inputs

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

(/.f64 (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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (neg.f64 (pow.f64 x (/.f64 3 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (*.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) 1 (pow.f64 x (/.f64 3 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (*.f64 x x) (/.f64 1 n)) (pow.f64 x (/.f64 3 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (+.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) (pow.f64 x (/.f64 3 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) (pow.f64 (exp.f64 (/.f64 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simplify297.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

918×	`fma-def_binary64`
554×	`times-frac_binary64`
320×	`distribute-rgt-in_binary64`
313×	`distribute-lft-in_binary64`
282×	`+-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1042	21831
1	3540	19943

Stop Event

1×	node limit

Counts

183 → 303

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 1 (.f64 3 (/.f64 x n))) (exp.f64 (.f64 3 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 9/2 (/.f64 1 (pow.f64 n 2))) (.f64 3/2 (/.f64 1 n))) (pow.f64 x 2)) (+.f64 1 (.f64 3 (/.f64 x n)))) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))))
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(fma.f64 (pow.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 3) (pow.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 3) (*.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) 1))
(fma.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3/2) (sqrt.f64 (pow.f64 x (/.f64 3 n)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3/2) (sqrt.f64 (pow.f64 x (/.f64 3 n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) 1 (pow.f64 x (/.f64 3 n))))
(fma.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3/2) (sqrt.f64 (pow.f64 x (/.f64 3 n)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3/2) (sqrt.f64 (pow.f64 x (/.f64 3 n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (*.f64 x x) (/.f64 1 n)) (pow.f64 x (/.f64 3 n))))
(fma.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3/2) (sqrt.f64 (pow.f64 x (/.f64 3 n)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3/2) (sqrt.f64 (pow.f64 x (/.f64 3 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) (pow.f64 x (/.f64 3 n))))
(fma.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 4))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (neg.f64 (pow.f64 x (/.f64 3 n))))
(fma.f64 (.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 4))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) 1))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 3 n))))
(fma.f64 (.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) 1))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 3 n))))
(fma.f64 (.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (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 3 n))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) 1)
(*.f64 1 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(*.f64 (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 1 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n)))))
(*.f64 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 1)
(.f64 (pow.f64 (cbrt.f64 (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))) 2) (.f64 (cbrt.f64 (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 1 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 2) (/.f64 1 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(.f64 (hypot.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (hypot.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))))) (.f64 (hypot.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (hypot.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))))) (/.f64 1 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (/.f64 1 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(*.f64 (neg.f64 (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 1 (neg.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n)))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (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))) 2) 1) (/.f64 (cbrt.f64 (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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n)))))
(*.f64 (/.f64 (hypot.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (hypot.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))))) 1) (/.f64 (hypot.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (hypot.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n)))) 2)) (/.f64 (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)) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (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))) 2) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n)))) 2)) (/.f64 1 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(*.f64 (/.f64 (hypot.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (hypot.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n)))) 2)) (/.f64 (hypot.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (hypot.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))) (/.f64 (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)) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (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))) 2) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))) (/.f64 (cbrt.f64 (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))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))))
(.f64 (/.f64 (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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 9) (pow.f64 x (.f64 (/.f64 3 n) 3)))) (fma.f64 (pow.f64 x (/.f64 3 n)) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 6)))
(.f64 (/.f64 (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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 6) (pow.f64 x (.f64 2 (/.f64 3 n))))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))
(pow.f64 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 1)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 3)
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 2)
(pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) -1)
(neg.f64 (/.f64 (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)) (neg.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))))
(sqrt.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (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)) 3) (pow.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 1))

Outputs
(-.f64 1 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))))
(-.f64 1 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (.f64 3 (/.f64 x n))) (exp.f64 (.f64 3 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 1 (/.f64 (*.f64 3 x) n)) (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 3 (/.f64 x n) 1) (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 9/2 (/.f64 1 (pow.f64 n 2))) (.f64 3/2 (/.f64 1 n))) (pow.f64 x 2)) (+.f64 1 (.f64 3 (/.f64 x n)))) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))))
(-.f64 (fma.f64 (-.f64 (/.f64 9/2 (.f64 n n)) (/.f64 3/2 n)) (.f64 x x) (+.f64 1 (/.f64 (*.f64 3 x) n))) (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 (+.f64 (/.f64 9/2 (.f64 n n)) (/.f64 -3/2 n)) (.f64 x x) (fma.f64 3 (/.f64 x n) 1)) (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 n 3))) (+.f64 (/.f64 1 n) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))) n)) (.f64 4/3 (/.f64 1 (pow.f64 n 3))))))) (.f64 7/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (.f64 (-.f64 (.f64 9/2 (/.f64 1 (pow.f64 n 2))) (.f64 3/2 (/.f64 1 n))) (pow.f64 x 2)) (+.f64 1 (.f64 3 (/.f64 x n))))) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))))
(-.f64 (fma.f64 (+.f64 (/.f64 2 (pow.f64 n 3)) (-.f64 (+.f64 (+.f64 (/.f64 1 n) (/.f64 1/6 (pow.f64 n 3))) (fma.f64 2 (/.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) n) (/.f64 4/3 (pow.f64 n 3)))) (/.f64 7/2 (.f64 n n)))) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 9/2 (.f64 n n)) (/.f64 3/2 n)) (.f64 x x) (+.f64 1 (/.f64 (*.f64 3 x) n)))) (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)))
(fma.f64 (+.f64 (/.f64 2 (pow.f64 n 3)) (+.f64 (+.f64 (+.f64 (/.f64 1 n) (/.f64 1/6 (pow.f64 n 3))) (fma.f64 2 (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) n) (/.f64 4/3 (pow.f64 n 3)))) (/.f64 -7/2 (.f64 n n)))) (pow.f64 x 3) (-.f64 (fma.f64 (+.f64 (/.f64 9/2 (.f64 n n)) (/.f64 -3/2 n)) (.f64 x x) (fma.f64 3 (/.f64 x n) 1)) (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 3) (exp.f64 (.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 3) (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)))
(-.f64 (pow.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) 3) (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 3) (.f64 n x))) (+.f64 (/.f64 (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 3) (.f64 n x)) (pow.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 3))) (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))))
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(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) 3) (.f64 x n))) (pow.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) 3)) (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)))
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(*.f64 (/.f64 (hypot.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (hypot.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n)))) 2)) (/.f64 (hypot.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (hypot.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))))
(.f64 (hypot.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (hypot.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (log1p.f64 x) n)))))) (.f64 (/.f64 1 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n)))) (hypot.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (hypot.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (log1p.f64 x) n))))))))
(*.f64 (hypot.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (hypot.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (log1p.f64 x) n)))))) (/.f64 (hypot.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (hypot.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (log1p.f64 x) n)))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))) (/.f64 (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)) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))))
(/.f64 (*.f64 (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)) 1) (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))
(/.f64 (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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (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))) 2) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))) (/.f64 (cbrt.f64 (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))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))))
(/.f64 (*.f64 (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)) 1) (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))
(/.f64 (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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))
(.f64 (/.f64 (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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 9) (pow.f64 x (.f64 (/.f64 3 n) 3)))) (fma.f64 (pow.f64 x (/.f64 3 n)) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 6)))
(/.f64 (*.f64 (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 (pow.f64 x (/.f64 3 n)) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 6))) (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 9) (pow.f64 x (/.f64 9 n))))
(.f64 (/.f64 (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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 6) (pow.f64 x (.f64 2 (/.f64 3 n))))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))
(*.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (/.f64 (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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 6) (pow.f64 x (/.f64 6 n)))))
(pow.f64 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 1)
(/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3) 1/3)
(/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 3)
(/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 2)
(pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) -1)
(/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(neg.f64 (/.f64 (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)) (neg.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))))
(/.f64 (*.f64 (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)) 1) (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))
(/.f64 (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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))
(sqrt.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3))
(/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(cbrt.f64 (/.f64 (pow.f64 (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)) 3) (pow.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 1))
(/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))

eval2.3s (11.8%)

Compiler: Compiled 131446 to 79645 computations (39.4% saved)

prune988.0ms (5.1%)

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	2072	25	2097
Fresh	12	7	19
Picked	1	0	1
Done	3	1	4
Total	2088	33	2121

Error

0.1b

Counts

2121 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	27.2b	(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)))))
	42.7b	(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))))
	21.0b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
	30.5b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
	47.0b	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
	41.0b	(/.f64 (/.f64 1 x) n)
	41.0b	(/.f64 (/.f64 1 n) x)
	41.9b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
▶	42.8b	(/.f64 (-.f64 x (log.f64 x)) n)
	41.7b	(/.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))) n)
	41.3b	(/.f64 (*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x)))) n)
	42.8b	(/.f64 (neg.f64 (log.f64 x)) n)
▶	20.9b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	29.3b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	31.8b	(/.f64 1 (/.f64 (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 -1 (/.f64 (.f64 -3 (-.f64 (log1p.f64 x) (log.f64 x))) n) (.f64 9/2 (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))))))
▶	21.0b	(/.f64 1 (/.f64 (.f64 3 n) (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))))
▶	41.2b	(/.f64 1 (*.f64 x n))
▶	27.2b	(-.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)))))
	41.9b	(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n))
	21.2b	(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
	42.8b	(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
	42.1b	(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
	29.3b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
✓	40.8b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	36.9b	(+.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))))))
	36.1b	(+.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))))
	37.9b	(+.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))))))
	21.2b	(.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)))
	20.9b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	21.0b	(.f64 3 (/.f64 (.f64 1/3 (-.f64 (log1p.f64 x) (log.f64 x))) n))
	27.2b	(.f64 3 (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -2/3 (.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 2))) (+.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (.f64 1/3 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 2)))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))) (+.f64 (.f64 2/27 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 3)) (.f64 2 (-.f64 (+.f64 (.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (+.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (.f64 1/6 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 3)))) (+.f64 (.f64 1/6 (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 1/27 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 3)) (.f64 2/3 (.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 2))) (+.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (.f64 1/3 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 2)))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))))))) (pow.f64 n 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2/3 (-.f64 (+.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 2))) (+.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (.f64 1/3 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 2))))) (.f64 -1/9 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 2))) (pow.f64 n 2))) (*.f64 1/3 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)))))
	39.7b	(*.f64 3 (log.f64 1))
	33.4b	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))

Compiler

Compiled 1749 to 1177 computations (32.7% 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)
✓	4.1b	(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	@	0	(log.f64 (/.f64 (+.f64 x 1) x))

rewrite52.0ms (0.3%)

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)))))))

simplify51.0ms (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)))
(+.f64 (/.f64 (/.f64 1 x) n) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) 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 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 (pow.f64 x 3) n))) (/.f64 1/4 (.f64 (pow.f64 x 4) n))) (/.f64 1/2 (.f64 (*.f64 x x) n)))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 (/.f64 (/.f64 1/2 x) x) n) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))))
(-.f64 (+.f64 (/.f64 (/.f64 1 x) n) (-.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n))) (/.f64 1/4 (.f64 (pow.f64 x 4) 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)))
(+.f64 (/.f64 (/.f64 1 x) n) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) 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 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 (pow.f64 x 3) n))) (/.f64 1/4 (.f64 (pow.f64 x 4) n))) (/.f64 1/2 (.f64 (*.f64 x x) n)))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 (/.f64 (/.f64 1/2 x) x) n) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))))
(-.f64 (+.f64 (/.f64 (/.f64 1 x) n) (-.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n))) (/.f64 1/4 (.f64 (pow.f64 x 4) n)))
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
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(*.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
✓	0.3b	(/.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	n	@	inf	(/.f64 1 (*.f64 x n))

rewrite38.0ms (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 (0.2%)

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)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite42.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

875×	`pow1_binary64`
818×	`add-log-exp_binary64`
818×	`log1p-expm1-u_binary64`
818×	`expm1-log1p-u_binary64`
800×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	136	9
2	2095	9

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify39.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

627×	`fma-def_binary64`
416×	`log-prod_binary64`
357×	`div-sub_binary64`
356×	`log-div_binary64`
256×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	102	471
1	250	459
2	850	459
3	4689	459

Stop Event

1×	node limit

Counts

45 → 47

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 (.f64 3 n) (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))))
✓	0.2b	(*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))
✓	0.2b	(/.f64 (.f64 3 n) (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))))
	4.0b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 49 to 23 computations (53.1% saved)

series7.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite66.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`log-prod_binary64`
430×	`prod-diff_binary64`
325×	`pow2_binary64`
223×	`pow1/3_binary64`
223×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	259	36
2	3612	36

Stop Event

1×	node limit

Counts

3 → 164

Calls

Call 1

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

Outputs

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

simplify87.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

396×	`cube-prod_binary64`
376×	`exp-prod_binary64`
365×	`log-prod_binary64`
287×	`cube-div_binary64`
258×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	507	3307
1	1385	3213
2	5270	3183

Stop Event

1×	node limit

Counts

224 → 260

Calls

Call 1

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

Outputs
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 -1 (/.f64 n (log.f64 x)))
(neg.f64 (/.f64 n (log.f64 x)))
(/.f64 (neg.f64 n) (log.f64 x))
(+.f64 (.f64 -1 (/.f64 n (log.f64 x))) (.f64 -1 (/.f64 (*.f64 n x) (pow.f64 (log.f64 x) 2))))
(.f64 -1 (+.f64 (/.f64 n (log.f64 x)) (/.f64 (.f64 n x) (pow.f64 (log.f64 x) 2))))
(-.f64 (/.f64 (neg.f64 n) (log.f64 x)) (*.f64 (/.f64 n (pow.f64 (log.f64 x) 2)) x))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 n (log.f64 x))) (.f64 -1 (/.f64 (.f64 n x) (pow.f64 (log.f64 x) 2)))))
(fma.f64 -1 (.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (.f64 x x)) (.f64 -1 (+.f64 (/.f64 n (log.f64 x)) (/.f64 (.f64 n x) (pow.f64 (log.f64 x) 2)))))
(-.f64 (-.f64 (/.f64 (neg.f64 n) (log.f64 x)) (.f64 (/.f64 n (pow.f64 (log.f64 x) 2)) x)) (.f64 x (*.f64 x (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/3 (/.f64 n (pow.f64 (log.f64 x) 2))) (+.f64 (.f64 -1 (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 n (pow.f64 (log.f64 x) 4)))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 n (log.f64 x))) (.f64 -1 (/.f64 (.f64 n x) (pow.f64 (log.f64 x) 2))))))
(fma.f64 -1 (.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (.f64 x x)) (fma.f64 -1 (.f64 (fma.f64 1/3 (/.f64 n (pow.f64 (log.f64 x) 2)) (fma.f64 -1 (/.f64 n (pow.f64 (log.f64 x) 3)) (/.f64 n (pow.f64 (log.f64 x) 4)))) (pow.f64 x 3)) (.f64 -1 (+.f64 (/.f64 n (log.f64 x)) (/.f64 (*.f64 n x) (pow.f64 (log.f64 x) 2))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 n) (log.f64 x)) (.f64 (/.f64 n (pow.f64 (log.f64 x) 2)) x)) (.f64 (fma.f64 (/.f64 n (pow.f64 (log.f64 x) 2)) 1/3 (-.f64 (/.f64 n (pow.f64 (log.f64 x) 4)) (/.f64 n (pow.f64 (log.f64 x) 3)))) (pow.f64 x 3))) (.f64 x (.f64 x (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))))))
(*.f64 n x)
(+.f64 (.f64 n x) (.f64 1/2 n))
(fma.f64 n x (*.f64 n 1/2))
(*.f64 n (+.f64 x 1/2))
(+.f64 (.f64 n x) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 n) (.f64 1/3 n)) x)) (*.f64 1/2 n)))
(fma.f64 n x (fma.f64 -1 (/.f64 (.f64 n 1/12) x) (.f64 n 1/2)))
(fma.f64 n x (-.f64 (.f64 n 1/2) (/.f64 (.f64 n 1/12) x)))
(+.f64 (.f64 n x) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 n) (.f64 1/3 n)) x)) (+.f64 (.f64 1/2 n) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 n) (.f64 1/3 n))) (+.f64 (.f64 1/6 n) (*.f64 -1/4 n))) (pow.f64 x 2))))))
(fma.f64 n x (fma.f64 -1 (/.f64 (.f64 n 1/12) x) (fma.f64 1/2 n (neg.f64 (/.f64 (fma.f64 1/2 (.f64 n 1/12) (.f64 n -1/12)) (.f64 x x))))))
(fma.f64 n x (-.f64 (-.f64 (.f64 n 1/2) (/.f64 (.f64 n 1/12) x)) (/.f64 (.f64 1/2 (.f64 n -1/12)) (*.f64 x x))))
(*.f64 n x)
(+.f64 (.f64 n x) (.f64 1/2 n))
(fma.f64 n x (*.f64 n 1/2))
(*.f64 n (+.f64 x 1/2))
(+.f64 (.f64 n x) (+.f64 (.f64 1/4 (/.f64 n x)) (+.f64 (.f64 1/2 n) (.f64 -1/3 (/.f64 n x)))))
(fma.f64 n x (fma.f64 1/4 (/.f64 n x) (fma.f64 1/2 n (*.f64 (/.f64 n x) -1/3))))
(fma.f64 n x (fma.f64 1/4 (/.f64 n x) (fma.f64 (/.f64 n x) -1/3 (*.f64 n 1/2))))
(+.f64 (.f64 n x) (+.f64 (.f64 1/4 (/.f64 n x)) (+.f64 (.f64 1/2 n) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/6 n) (+.f64 (.f64 -1/4 n) (.f64 -1/2 (+.f64 (.f64 1/4 n) (.f64 -1/3 n))))) (pow.f64 x 2))) (.f64 -1/3 (/.f64 n x))))))
(fma.f64 n x (fma.f64 1/4 (/.f64 n x) (fma.f64 1/2 n (fma.f64 -1 (/.f64 (+.f64 (.f64 n -1/12) (.f64 -1/2 (.f64 n -1/12))) (.f64 x x)) (*.f64 (/.f64 n x) -1/3)))))
(fma.f64 n x (fma.f64 1/4 (/.f64 n x) (fma.f64 n 1/2 (fma.f64 (/.f64 n x) -1/3 (/.f64 (neg.f64 (.f64 1/2 (.f64 n -1/12))) (*.f64 x x))))))
(*.f64 -3 (log.f64 x))
(*.f64 (log.f64 x) -3)
(+.f64 (.f64 3 x) (.f64 -3 (log.f64 x)))
(fma.f64 3 x (*.f64 (log.f64 x) -3))
(fma.f64 x 3 (*.f64 (log.f64 x) -3))
(+.f64 (.f64 3 x) (+.f64 (.f64 -3 (log.f64 x)) (*.f64 -3/2 (pow.f64 x 2))))
(fma.f64 3 x (fma.f64 -3 (log.f64 x) (.f64 (.f64 x x) -3/2)))
(fma.f64 x 3 (fma.f64 (log.f64 x) -3 (.f64 x (.f64 x -3/2))))
(+.f64 (.f64 3 x) (+.f64 (.f64 -3 (log.f64 x)) (+.f64 (*.f64 -3/2 (pow.f64 x 2)) (pow.f64 x 3))))
(fma.f64 3 x (fma.f64 -3 (log.f64 x) (fma.f64 -3/2 (*.f64 x x) (pow.f64 x 3))))
(fma.f64 x 3 (fma.f64 (log.f64 x) -3 (.f64 (.f64 x x) (+.f64 x -3/2))))
(/.f64 3 x)
(-.f64 (.f64 3 (/.f64 1 x)) (.f64 3/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 3 x) (/.f64 3/2 (*.f64 x x)))
(+.f64 (/.f64 3 x) (/.f64 -3/2 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (.f64 3 (/.f64 1 x))) (.f64 3/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 3 x) (/.f64 3/2 (*.f64 x x))))
(+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -3/2 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (.f64 3 (/.f64 1 x))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 3/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 3 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 3/2 (*.f64 x x)) (/.f64 3/4 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 3 x) (+.f64 (/.f64 (/.f64 3/2 x) x) (/.f64 3/4 (pow.f64 x 4)))))
(/.f64 3 x)
(-.f64 (.f64 3 (/.f64 1 x)) (.f64 3/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 3 x) (/.f64 3/2 (*.f64 x x)))
(+.f64 (/.f64 3 x) (/.f64 -3/2 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (.f64 3 (/.f64 1 x))) (.f64 3/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 3 x) (/.f64 3/2 (*.f64 x x))))
(+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -3/2 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (.f64 3 (/.f64 1 x))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 3/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 3 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 3/2 (*.f64 x x)) (/.f64 3/4 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 3 x) (+.f64 (/.f64 (/.f64 3/2 x) x) (/.f64 3/4 (pow.f64 x 4)))))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (.f64 -1/2 (/.f64 (.f64 x x) n))))
(+.f64 (/.f64 x n) (-.f64 (/.f64 (.f64 -1/2 (.f64 x x)) n) (/.f64 (log.f64 x) n)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (.f64 -1/2 (/.f64 (.f64 x x) n)))))
(+.f64 (-.f64 (/.f64 (.f64 -1/2 (.f64 x x)) n) (/.f64 (log.f64 x) n)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n)))
(/.f64 1 (*.f64 n x))
(/.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 n x)) (/.f64 1/2 (.f64 n (*.f64 x x))))
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (.f64 n x)) (/.f64 1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 (/.f64 1 n) x) (-.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 (/.f64 1/2 n) (.f64 x x))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (.f64 n x)) (+.f64 (/.f64 1/2 (.f64 n (.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))))
(+.f64 (/.f64 (/.f64 1 n) x) (-.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1/2 n) (.f64 x x)) (/.f64 (/.f64 1/4 n) (pow.f64 x 4)))))
(/.f64 1 (*.f64 n x))
(/.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 n x)) (/.f64 1/2 (.f64 n (*.f64 x x))))
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (.f64 n x)) (/.f64 1/2 (.f64 n (.f64 x x)))))
(+.f64 (/.f64 (/.f64 1 n) x) (-.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (/.f64 (/.f64 1/2 n) (.f64 x x))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (.f64 n x)) (+.f64 (/.f64 1/2 (.f64 n (.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))))
(+.f64 (/.f64 (/.f64 1 n) x) (-.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1/2 n) (.f64 x x)) (/.f64 (/.f64 1/4 n) (pow.f64 x 4)))))
(+.f64 0 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) 1)
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(.f64 3 (/.f64 n (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(.f64 3 (/.f64 1 (.f64 3 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(.f64 3 (.f64 n (/.f64 1/3 (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 n (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(.f64 n (.f64 3 (/.f64 1/3 (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(.f64 (.f64 3 n) (/.f64 1/3 (-.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 1)
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
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(*.f64 (/.f64 3 (+.f64 (log.f64 x) (log1p.f64 x))) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))
(pow.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) 1)
(*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))
(pow.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2) 9) 1/2)
(sqrt.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2) 9))
(pow.f64 (pow.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) 3) 1/3)
(*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) 3)
(*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) 2)
(*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2) 9))
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3))
(*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1)))
(log1p.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3) -1))
(log.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3) 0))
(cbrt.f64 (pow.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) 3))
(*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))))
(*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1))
(log1p.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3) -1))
(log.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3) 0))
(exp.f64 (log.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))))
(*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) 1))
(*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))
(fma.f64 3 (log1p.f64 x) (*.f64 3 (neg.f64 (log.f64 x))))
(*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))
(fma.f64 (log1p.f64 x) 3 (*.f64 (neg.f64 (log.f64 x)) 3))
(*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))
(+.f64 0 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 n 1)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 n 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 n 1))))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 n 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 n 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) (/.f64 1 n)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 n 1)))) 1)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 3 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (.f64 3 n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1/3 n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 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 (/.f64 1 (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) (cbrt.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -2)))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -2)) (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -2)) (/.f64 1 (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) (cbrt.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -2)))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -2)) (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
(*.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1/2) (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1/2))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 -1 (/.f64 1 (neg.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 n 1)) 1)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (/.f64 1/3 n) (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (/.f64 1/3 n) (/.f64 1 (/.f64 1/3 (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 1/3 (.f64 3 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 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 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (/.f64 3 n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (/.f64 3 n) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) 2) 3) (/.f64 (cbrt.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (/.f64 (sqrt.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) 3) (/.f64 (sqrt.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (/.f64 (sqrt.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) n) (/.f64 (sqrt.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) 3))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (/.f64 1 n) (/.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) 3))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) 2) n) (/.f64 (cbrt.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) 3))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) (/.f64 3 (.f64 3 n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) 2) 1) (/.f64 (cbrt.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) (.f64 3 n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (/.f64 (sqrt.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) 1) (/.f64 (sqrt.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) (.f64 3 n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (/.f64 3 (pow.f64 (cbrt.f64 (.f64 3 n)) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 (*.f64 3 n))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (cbrt.f64 (.f64 3 n)) 2)) (/.f64 3 (cbrt.f64 (*.f64 3 n))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 3 n)) 2)) (/.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 (.f64 3 n))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) 2) (pow.f64 (cbrt.f64 (.f64 3 n)) 2)) (/.f64 (cbrt.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 (*.f64 3 n))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (/.f64 (sqrt.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) (pow.f64 (cbrt.f64 (.f64 3 n)) 2)) (/.f64 (sqrt.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 (*.f64 3 n))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (/.f64 3 (sqrt.f64 (.f64 3 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 (*.f64 3 n))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 (.f64 3 n))) (/.f64 3 (sqrt.f64 (*.f64 3 n))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (/.f64 1 (sqrt.f64 (.f64 3 n))) (/.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (.f64 3 n))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) 2) (sqrt.f64 (.f64 3 n))) (/.f64 (cbrt.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (*.f64 3 n))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (/.f64 (sqrt.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (.f64 3 n))) (/.f64 (sqrt.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (*.f64 3 n))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (/.f64 1 (.f64 n -3)) (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -3))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (/.f64 1 (/.f64 n 1)) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) 2)) (/.f64 1 (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (.f64 (/.f64 1/3 n) 3) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (.f64 (/.f64 1/3 n) (-.f64 (log1p.f64 x) (log.f64 x))) 3)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (.f64 (/.f64 1/3 n) 1) (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (.f64 (/.f64 1/3 n) (pow.f64 (cbrt.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) 2)) (cbrt.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(.f64 (.f64 (/.f64 1/3 n) (sqrt.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))))) (sqrt.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.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 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -2) 1/2)
(sqrt.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -2))
(fabs.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 n 1)) 3) 1/3)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) 3)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1/2) 2)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 n 1)) 1)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 (pow.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) 3) (pow.f64 (.f64 3 n) 3)) 1/3)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (neg.f64 (neg.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) -1)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 (sqrt.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (.f64 3 n))) 2)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(sqrt.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -2))
(fabs.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(log.f64 (exp.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 n 1))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 n 1)))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 n 1)) 3))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(cbrt.f64 (/.f64 (pow.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) 3) (pow.f64 (.f64 3 n) 3)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 n 1))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 n 1))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(exp.f64 (neg.f64 (log.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))))
(/.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)
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) 1))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

localize84.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (log.f64 x) 2)
✓	0.9b	(/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))
✓	4.5b	(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n))
✓	9.1b	(-.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)))))

Compiler

Compiled 114 to 47 computations (58.8% saved)

series76.0ms (0.4%)

Counts

4 → 80

Calls

21 calls:

Time	Variable		Point	Expression
57.0ms	x	@	0	(/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))
8.0ms	x	@	-inf	(-.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)))))
2.0ms	x	@	inf	(-.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)))))
1.0ms	n	@	0	(-.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)))))
1.0ms	x	@	0	(-.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)))))

rewrite99.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`fma-def_binary64`
476×	`fma-neg_binary64`
343×	`expm1-udef_binary64`
343×	`log1p-udef_binary64`
206×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	76
1	410	62
2	5958	62

Stop Event

1×	node limit

Counts

4 → 217

Calls

Call 1

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

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

simplify221.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

561×	`fma-neg_binary64`
231×	`log-prod_binary64`
226×	`fma-def_binary64`
218×	`*-commutative_binary64`
202×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	611	12065
1	1669	10141
2	5708	10102

Stop Event

1×	node limit

Counts

297 → 357

Calls

Call 1

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

Outputs
(.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(neg.f64 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))))
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
(+.f64 (.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) (/.f64 x n))
(fma.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))) (/.f64 x n))
(-.f64 (/.f64 x n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n)))
(+.f64 (.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) (+.f64 (/.f64 x n) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))
(+.f64 (fma.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))) (/.f64 x n)) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
(-.f64 (fma.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n)) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n)))
(+.f64 (.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) (+.f64 (/.f64 x n) (+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))))
(+.f64 (fma.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))) (/.f64 x n)) (fma.f64 (-.f64 (/.f64 1/3 n) (/.f64 1/2 (.f64 n n))) (pow.f64 x 3) (.f64 (-.f64 (/.f64 1/2 (.f64 n n)) (/.f64 1/2 n)) (.f64 x x))))
(+.f64 (-.f64 (/.f64 x n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))) (fma.f64 (+.f64 (/.f64 1/3 n) (.f64 (pow.f64 n -2) -1/2)) (pow.f64 x 3) (.f64 x (*.f64 x (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))))))
(/.f64 (+.f64 (/.f64 1 n) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) x)
(/.f64 (+.f64 (/.f64 1 n) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n)))) x)
(/.f64 (+.f64 (/.f64 1 n) (/.f64 (log.f64 x) (*.f64 n n))) x)
(-.f64 (+.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 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (/.f64 1 (.f64 n x)))) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(-.f64 (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 (/.f64 (neg.f64 (log.f64 x)) (.f64 x (.f64 n n))) (/.f64 1 (.f64 x n)))) (/.f64 (/.f64 1/2 n) (*.f64 x x)))
(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 n -2) (neg.f64 (/.f64 (log.f64 x) (.f64 n n)))) (.f64 x x)) (+.f64 (/.f64 1 (.f64 x n)) (-.f64 (/.f64 (log.f64 x) (.f64 x (.f64 n n))) (/.f64 1/2 (.f64 n (*.f64 x x))))))
(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 n -2) (neg.f64 (/.f64 (log.f64 x) (.f64 n n)))) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1 n) (/.f64 (log.f64 x) (.f64 n n))) x) (/.f64 -1/2 (.f64 n (*.f64 x x)))))
(-.f64 (+.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 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (+.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 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 (.f64 -2/3 (neg.f64 (log.f64 x))) (.f64 n n)) (/.f64 1 (.f64 n n))) (pow.f64 x 3)) (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 (/.f64 (neg.f64 (log.f64 x)) (.f64 x (.f64 n n))) (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 n (pow.f64 x 3))))))) (/.f64 (/.f64 1/2 n) (*.f64 x x)))
(fma.f64 1/2 (/.f64 (-.f64 (/.f64 (.f64 2/3 (log.f64 x)) (.f64 n n)) (pow.f64 n -2)) (pow.f64 x 3)) (+.f64 (+.f64 (+.f64 (/.f64 1 (.f64 x n)) (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 n -2) (neg.f64 (/.f64 (log.f64 x) (.f64 n n)))) (.f64 x x)) (/.f64 (log.f64 x) (.f64 x (.f64 n n))))) (/.f64 1/3 (.f64 n (pow.f64 x 3)))) (/.f64 -1/2 (.f64 n (.f64 x x)))))
(+.f64 (+.f64 (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 n -2) (neg.f64 (/.f64 (log.f64 x) (.f64 n n)))) (.f64 x x)) (/.f64 (+.f64 (/.f64 1 n) (/.f64 (log.f64 x) (.f64 n n))) x)) (/.f64 1/3 (.f64 n (pow.f64 x 3)))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 (.f64 2/3 (log.f64 x)) (.f64 n n)) (pow.f64 n -2)) (pow.f64 x 3)) (/.f64 -1/2 (.f64 n (.f64 x x)))))
(-.f64 (+.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 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (+.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 (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (/.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 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 (.f64 -2/3 (neg.f64 (log.f64 x))) (.f64 n n)) (/.f64 1 (.f64 n n))) (pow.f64 x 3)) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (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 (+.f64 (/.f64 11/12 (.f64 n n)) (/.f64 (.f64 1/2 (neg.f64 (log.f64 x))) (.f64 n n))) (pow.f64 x 4)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 x)) (.f64 x (.f64 n n))) (/.f64 1 (.f64 x n))))))) (+.f64 (/.f64 (/.f64 1/2 n) (.f64 x x)) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))
(+.f64 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 (.f64 2/3 (log.f64 x)) (.f64 n n)) (pow.f64 n -2)) (pow.f64 x 3)) (/.f64 1/3 (.f64 n (pow.f64 x 3)))) (-.f64 (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 n -2) (neg.f64 (/.f64 (log.f64 x) (.f64 n n)))) (.f64 x x)) (fma.f64 1/2 (/.f64 (fma.f64 (pow.f64 n -2) 11/12 (/.f64 (.f64 -1/2 (log.f64 x)) (.f64 n n))) (pow.f64 x 4)) (+.f64 (/.f64 (log.f64 x) (.f64 x (.f64 n n))) (/.f64 1 (.f64 x n))))) (+.f64 (/.f64 1/2 (.f64 n (.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))))
(+.f64 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 (.f64 2/3 (log.f64 x)) (.f64 n n)) (pow.f64 n -2)) (pow.f64 x 3)) (/.f64 1/3 (.f64 n (pow.f64 x 3)))) (-.f64 (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 n -2) (neg.f64 (/.f64 (log.f64 x) (.f64 n n)))) (.f64 x x)) (fma.f64 1/2 (/.f64 (fma.f64 (pow.f64 n -2) 11/12 (/.f64 (.f64 -1/2 (log.f64 x)) (.f64 n n))) (pow.f64 x 4)) (/.f64 (+.f64 (/.f64 1 n) (/.f64 (log.f64 x) (.f64 n n))) x))) (+.f64 (/.f64 1/2 (.f64 n (.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 n n))) (/.f64 1 n)) x))
(/.f64 (neg.f64 (fma.f64 -1 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n n)) (/.f64 -1 n))) x)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) 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 1/2 (*.f64 n (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 n n))) (/.f64 1 n)) x) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (.f64 n n)) (neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 n n)))) (.f64 x x)))) (/.f64 (/.f64 1/2 n) (.f64 x x)))
(fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 n n)) (/.f64 -1 n)) x) (fma.f64 1/2 (/.f64 (-.f64 (pow.f64 n -2) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 n n))) (.f64 x x)) (/.f64 -1/2 (.f64 n (*.f64 x x)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (+.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))))) (.f64 1/3 (/.f64 1 n))) (pow.f64 x 3))) (.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 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 n n))) (/.f64 1 n)) x) (fma.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (.f64 (.f64 -2/3 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 n n))) 1/2)) (/.f64 1/3 n)) (pow.f64 x 3)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (.f64 n n)) (neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 n n)))) (.f64 x x))))) (/.f64 (/.f64 1/2 n) (.f64 x x)))
(+.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 -1 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 n n)) (/.f64 -1 n))) x) (/.f64 (fma.f64 1/2 (fma.f64 -2/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 n n)) (pow.f64 n -2)) (/.f64 -1/3 n)) (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (-.f64 (pow.f64 n -2) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 n n))) (.f64 x x)) (/.f64 -1/2 (.f64 n (.f64 x x)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 n 2))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (+.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))))) (.f64 1/3 (/.f64 1 n))) (pow.f64 x 3))) (.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 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 n n))) (/.f64 1 n)) x) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 11/12 (.f64 n n)) (.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 n n)) -1/2)) (pow.f64 x 4)) (fma.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (.f64 (.f64 -2/3 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 n n))) 1/2)) (/.f64 1/3 n)) (pow.f64 x 3)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (.f64 n n)) (neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 n n)))) (.f64 x x)))))) (+.f64 (/.f64 (/.f64 1/2 n) (.f64 x x)) (/.f64 1/4 (.f64 n (pow.f64 x 4)))))
(+.f64 (-.f64 (-.f64 (fma.f64 1/2 (/.f64 (fma.f64 (pow.f64 n -2) 11/12 (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 n n)) -1/2)) (pow.f64 x 4)) (-.f64 (.f64 (/.f64 1/2 x) (/.f64 (-.f64 (pow.f64 n -2) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 n n))) x)) (/.f64 (fma.f64 1/2 (fma.f64 -2/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 n n)) (pow.f64 n -2)) (/.f64 -1/3 n)) (pow.f64 x 3)))) (/.f64 (fma.f64 -1 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 n n)) (/.f64 -1 n)) x)) (/.f64 1/4 (.f64 n (pow.f64 x 4)))) (/.f64 -1/2 (.f64 n (*.f64 x x))))
(/.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))
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(pow.f64 (log.f64 x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 x) 2))))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 x) 2) 3))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 x) 2)))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 x) 2)))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(exp.f64 (*.f64 2 (log.f64 (log.f64 x))))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (log.f64 x))) 1))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)

eval570.0ms (2.9%)

Compiler: Compiled 25578 to 12491 computations (51.2% saved)

prune388.0ms (2%)

Pruning

40 alts after pruning (38 fresh and 2 done)

	Pruned	Kept	Total
New	908	24	932
Fresh	13	14	27
Picked	1	0	1
Done	3	2	5
Total	925	40	965

Error

0.0b

Counts

965 → 40

Alt Table

Click to see full alt table

Status	Error	Program
	41.9b	(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 n -2) (neg.f64 (/.f64 (log.f64 x) (.f64 n n)))) (.f64 x x)) (+.f64 (/.f64 1 (.f64 x n)) (-.f64 (/.f64 (log.f64 x) (.f64 x (.f64 n n))) (/.f64 1/2 (.f64 n (*.f64 x x))))))
	42.7b	(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))))
	41.0b	(/.f64 (/.f64 1 x) n)
	41.0b	(/.f64 (/.f64 1 n) x)
▶	41.9b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	41.0b	(/.f64 (+.f64 (/.f64 1 n) (/.f64 (log.f64 x) (*.f64 n n))) x)
	42.8b	(/.f64 (neg.f64 (log.f64 x)) n)
	21.7b	(/.f64 (log1p.f64 (/.f64 1 x)) n)
	39.7b	(/.f64 (log.f64 1) n)
	29.3b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
▶	61.1b	(/.f64 x n)
	31.8b	(/.f64 1 (/.f64 (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 -1 (/.f64 (.f64 -3 (-.f64 (log1p.f64 x) (log.f64 x))) n) (.f64 9/2 (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))))))
	41.2b	(/.f64 1 (/.f64 (*.f64 3 n) (/.f64 3 x)))
▶	42.8b	(/.f64 1 (/.f64 (.f64 3 n) (.f64 (log.f64 x) -3)))
	41.2b	(/.f64 1 (/.f64 (.f64 3 n) (.f64 3 (/.f64 1 x))))
	42.8b	(/.f64 1 (/.f64 (neg.f64 n) (log.f64 x)))
	41.7b	(/.f64 1 (+.f64 (.f64 n x) (+.f64 (.f64 1/4 (/.f64 n x)) (+.f64 (.f64 1/2 n) (.f64 -1/3 (/.f64 n x))))))
	38.7b	(/.f64 1 (+.f64 (.f64 n x) (.f64 1/2 n)))
✓	41.2b	(/.f64 1 (*.f64 x n))
	38.7b	(/.f64 1 (*.f64 n (+.f64 x 1/2)))
	41.7b	(-.f64 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 (.f64 -2/3 (neg.f64 (log.f64 x))) (.f64 n n)) (/.f64 1 (.f64 n n))) (pow.f64 x 3)) (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 (/.f64 (neg.f64 (log.f64 x)) (.f64 x (.f64 n n))) (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 n (pow.f64 x 3))))))) (/.f64 (/.f64 1/2 n) (*.f64 x x)))
	42.0b	(-.f64 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 (.f64 -2/3 (neg.f64 (log.f64 x))) (.f64 n n)) (/.f64 1 (.f64 n n))) (pow.f64 x 3)) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (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 (+.f64 (/.f64 11/12 (.f64 n n)) (/.f64 (.f64 1/2 (neg.f64 (log.f64 x))) (.f64 n n))) (pow.f64 x 4)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 x)) (.f64 x (.f64 n n))) (/.f64 1 (.f64 x n))))))) (+.f64 (/.f64 (/.f64 1/2 n) (.f64 x x)) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))
	41.9b	(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n))
	42.8b	(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
	47.0b	(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
	29.3b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
✓	40.8b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
▶	20.9b	(+.f64 (/.f64 (.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) (.f64 (/.f64 1/2 n) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n)))
	36.9b	(+.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))))))
▶	36.1b	(+.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))))
	43.5b	(+.f64 (/.f64 x n) (-.f64 (/.f64 (.f64 -1/2 (.f64 x x)) n) (/.f64 (log.f64 x) n)))
	29.4b	(+.f64 (-.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (log1p.f64 x) n)) (/.f64 (log.f64 x) n)) (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)))
	37.9b	(+.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))))))
	21.0b	(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (/.f64 3 n))
	41.0b	(*.f64 (/.f64 1 x) (/.f64 1 n))
	21.0b	(.f64 (.f64 (/.f64 1/3 n) 3) (-.f64 (log1p.f64 x) (log.f64 x)))
	42.8b	(*.f64 (neg.f64 (-.f64 x (log.f64 x))) (/.f64 1 (neg.f64 n)))
	21.0b	(.f64 3 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (.f64 3 n)))
	33.4b	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
	40.0b	(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (log1p.f64 x) n)) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))) 3))

Compiler

Compiled 1758 to 1106 computations (37.1% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (log1p.f64 x) 2)
	0.5b	(pow.f64 (log.f64 x) 2)
✓	4.0b	(-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))
	4.0b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 103 to 52 computations (49.5% saved)

series72.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
70.0ms	x	@	inf	(-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))
1.0ms	x	@	-inf	(-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))
0.0ms	x	@	0	(-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))
0.0ms	x	@	-inf	(pow.f64 (log1p.f64 x) 2)
0.0ms	x	@	inf	(pow.f64 (log1p.f64 x) 2)

rewrite51.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

776×	`pow1_binary64`
722×	`add-log-exp_binary64`
721×	`expm1-log1p-u_binary64`
720×	`log1p-expm1-u_binary64`
704×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	172	20
2	2079	20

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))
(pow.f64 (log1p.f64 x) 2)

Outputs

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

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

simplify75.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

607×	`associate-+l+_binary64`
417×	`associate-+r+_binary64`
284×	`times-frac_binary64`
254×	`+-commutative_binary64`
245×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	1875
1	573	1742
2	1952	1609
3	7903	1609

Stop Event

1×	node limit

Counts

75 → 147

Calls

Call 1

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

Outputs
(*.f64 -1 (pow.f64 (log.f64 x) 2))
(neg.f64 (pow.f64 (log.f64 x) 2))
(+.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 (log.f64 x) 2)))
(+.f64 (*.f64 x x) (neg.f64 (pow.f64 (log.f64 x) 2)))
(-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 2) (.f64 -1 (pow.f64 (log.f64 x) 2))))
(+.f64 (fma.f64 -1 (pow.f64 x 3) (*.f64 x x)) (neg.f64 (pow.f64 (log.f64 x) 2)))
(-.f64 (-.f64 (*.f64 x x) (pow.f64 x 3)) (pow.f64 (log.f64 x) 2))
(-.f64 (*.f64 x x) (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 2)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 11/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 (log.f64 x) 2)))))
(fma.f64 -1 (pow.f64 x 3) (+.f64 (fma.f64 11/12 (pow.f64 x 4) (*.f64 x x)) (neg.f64 (pow.f64 (log.f64 x) 2))))
(-.f64 (-.f64 (fma.f64 11/12 (pow.f64 x 4) (*.f64 x x)) (pow.f64 (log.f64 x) 2)) (pow.f64 x 3))
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -2 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (*.f64 2 (log.f64 x)) x)
(/.f64 2 (/.f64 x (log.f64 x)))
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x))))
(+.f64 (/.f64 (neg.f64 (log.f64 x)) (.f64 x x)) (+.f64 (.f64 -2 (/.f64 (neg.f64 (log.f64 x)) x)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 (.f64 2 (log.f64 x)) x) (+.f64 (/.f64 (neg.f64 (log.f64 x)) (.f64 x x)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 2 (/.f64 x (log.f64 x))) (-.f64 (/.f64 1 (.f64 x x)) (/.f64 (log.f64 x) (.f64 x x))))
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x))))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 (neg.f64 (log.f64 x)) (.f64 x x)) (-.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 x 3)) (+.f64 (.f64 -2 (/.f64 (neg.f64 (log.f64 x)) x)) (/.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 (neg.f64 (log.f64 x)) (.f64 x x)) (+.f64 (fma.f64 -2 (/.f64 (neg.f64 (log.f64 x)) x) (/.f64 1 (.f64 x x))) (-.f64 (/.f64 (*.f64 2/3 (log.f64 x)) (pow.f64 x 3)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 2 (/.f64 x (log.f64 x))) (/.f64 1 (.f64 x x))) (-.f64 (.f64 (+.f64 (/.f64 -2/3 x) 1) (neg.f64 (/.f64 (log.f64 x) (*.f64 x x)))) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 4))) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3))) (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x))))))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 (neg.f64 (log.f64 x)) (.f64 x x)) (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 x 4)) (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 x 3)) (+.f64 (+.f64 (.f64 -2 (/.f64 (neg.f64 (log.f64 x)) x)) (/.f64 1 (*.f64 x x))) (/.f64 11/12 (pow.f64 x 4)))))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (+.f64 (+.f64 (fma.f64 -2 (/.f64 (neg.f64 (log.f64 x)) x) (/.f64 1 (.f64 x x))) (/.f64 11/12 (pow.f64 x 4))) (+.f64 (/.f64 (.f64 2/3 (log.f64 x)) (pow.f64 x 3)) (/.f64 (.f64 -1/2 (log.f64 x)) (pow.f64 x 4)))) (-.f64 (/.f64 (neg.f64 (log.f64 x)) (.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 (.f64 (log.f64 x) -1/2) (pow.f64 x 4)) (+.f64 (+.f64 (+.f64 (/.f64 2 (/.f64 x (log.f64 x))) (+.f64 (/.f64 1 (.f64 x x)) (/.f64 11/12 (pow.f64 x 4)))) (.f64 (+.f64 (/.f64 -2/3 x) 1) (neg.f64 (/.f64 (log.f64 x) (.f64 x x))))) (/.f64 -1 (pow.f64 x 3))))
(.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 2 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x))
(/.f64 2 (/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(*.f64 (/.f64 2 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))))
(+.f64 (/.f64 1 (.f64 x x)) (fma.f64 -1 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 x x)) (*.f64 2 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x))))
(+.f64 (/.f64 1 (.f64 x x)) (-.f64 (/.f64 2 (/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 x x))))
(+.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x) (+.f64 2 (/.f64 -1 x))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 6) (pow.f64 (log.f64 x) 6)) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) 2)) (pow.f64 (log.f64 x) 4)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 6) (pow.f64 (log.f64 x) 6)) (+.f64 (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) 2) (+.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4)) (+.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (pow.f64 (log.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 6) (pow.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 4) (-.f64 (.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) (neg.f64 (pow.f64 (log.f64 x) 2))) (.f64 (pow.f64 (log1p.f64 x) 2) (neg.f64 (pow.f64 (log.f64 x) 2))))))
(.f64 (-.f64 (pow.f64 (log1p.f64 x) 6) (pow.f64 (log.f64 x) 6)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 4) (+.f64 (pow.f64 (.f64 (log.f64 x) (log1p.f64 x)) 2) (pow.f64 (log.f64 x) 4)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 6) (pow.f64 (log.f64 x) 6)) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) 2)) (pow.f64 (log.f64 x) 4)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 6) (pow.f64 (log.f64 x) 6)) (+.f64 (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) 2) (+.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 4) (*.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) (neg.f64 (pow.f64 (log.f64 x) 2)))) (-.f64 (pow.f64 (log1p.f64 x) 2) (neg.f64 (pow.f64 (log.f64 x) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4)) (+.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (pow.f64 (log.f64 x) 2)))
(pow.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) 1)
(-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) 3) 1/3)
(-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 3)
(-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2)
(-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) 2))
(-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))
(log.f64 (/.f64 (exp.f64 (pow.f64 (log1p.f64 x) 2)) (pow.f64 x (log.f64 x))))
(-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) 3))
(-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))
(-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))
(-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))
(exp.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))
(-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))
(fma.f64 (log1p.f64 x) (log1p.f64 x) (neg.f64 (pow.f64 (log.f64 x) 2)))
(-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))
(fma.f64 1 (pow.f64 (log1p.f64 x) 2) (neg.f64 (pow.f64 (log.f64 x) 2)))
(-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (pow.f64 (log.f64 x) 2)))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (pow.f64 (log.f64 x) 2))
(-.f64 (+.f64 1 (pow.f64 (log1p.f64 x) 2)) 1)
(+.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) 1))
(+.f64 (pow.f64 (log1p.f64 x) 2) 0)
(pow.f64 (log1p.f64 x) 2)
(*.f64 (log1p.f64 x) (log1p.f64 x))
(+.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) 1))
(+.f64 (pow.f64 (log1p.f64 x) 2) 0)
(pow.f64 (log1p.f64 x) 2)
(*.f64 (pow.f64 (log1p.f64 x) 2) 1)
(+.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) 1))
(+.f64 (pow.f64 (log1p.f64 x) 2) 0)
(pow.f64 (log1p.f64 x) 2)
(*.f64 1 (pow.f64 (log1p.f64 x) 2))
(+.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) 1))
(+.f64 (pow.f64 (log1p.f64 x) 2) 0)
(pow.f64 (log1p.f64 x) 2)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (pow.f64 (log1p.f64 x) 4)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) 1))
(+.f64 (pow.f64 (log1p.f64 x) 2) 0)
(pow.f64 (log1p.f64 x) 2)
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(.f64 (sqrt.f64 (log1p.f64 x)) (.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) 1))
(+.f64 (pow.f64 (log1p.f64 x) 2) 0)
(pow.f64 (log1p.f64 x) 2)
(.f64 (.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)))
(+.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) 1))
(+.f64 (pow.f64 (log1p.f64 x) 2) 0)
(pow.f64 (log1p.f64 x) 2)
(.f64 (.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)))
(+.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) 1))
(+.f64 (pow.f64 (log1p.f64 x) 2) 0)
(pow.f64 (log1p.f64 x) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 4))
(+.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) 1))
(+.f64 (pow.f64 (log1p.f64 x) 2) 0)
(pow.f64 (log1p.f64 x) 2)
(log.f64 (exp.f64 (pow.f64 (log1p.f64 x) 2)))
(+.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) 1))
(+.f64 (pow.f64 (log1p.f64 x) 2) 0)
(pow.f64 (log1p.f64 x) 2)
(cbrt.f64 (pow.f64 (log1p.f64 x) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 x) 2)))
(+.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) 1))
(+.f64 (pow.f64 (log1p.f64 x) 2) 0)
(pow.f64 (log1p.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 x) 2)))
(+.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) 1))
(+.f64 (pow.f64 (log1p.f64 x) 2) 0)
(pow.f64 (log1p.f64 x) 2)
(exp.f64 (*.f64 2 (log.f64 (log1p.f64 x))))
(+.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) 1))
(+.f64 (pow.f64 (log1p.f64 x) 2) 0)
(pow.f64 (log1p.f64 x) 2)

localize3.0ms (0%)

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x))
✓	0.1b	(/.f64 (/.f64 1/2 x) x)
✓	4.1b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)

Compiler

Compiled 37 to 24 computations (35.1% saved)

series6.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`log-prod_binary64`
324×	`fma-def_binary64`
323×	`log-div_binary64`
307×	`pow2_binary64`
213×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	234	30
2	3659	30

Stop Event

1×	node limit

Counts

3 → 236

Calls

Call 1

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

Outputs

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

simplify118.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

642×	`unswap-sqr_binary64`
448×	`div-sub_binary64`
272×	`fma-neg_binary64`
196×	`sqr-pow_binary64`
195×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	501	5694
1	1274	4885
2	4269	4870

Stop Event

1×	node limit

Counts

284 → 337

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (/.f64 (.f64 3 n) (.f64 (log.f64 x) -3)))
✓	0.3b	(*.f64 (log.f64 x) -3)
✓	0.4b	(/.f64 (.f64 3 n) (.f64 (log.f64 x) -3))

Compiler

Compiled 34 to 22 computations (35.3% saved)

series11.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite66.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`log-prod_binary64`
478×	`exp-prod_binary64`
281×	`pow-prod-down_binary64`
278×	`pow2_binary64`
211×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	230	24
2	3000	24

Stop Event

1×	node limit

Counts

3 → 178

Calls

Call 1

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

Outputs

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

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

simplify72.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

898×	`fma-def_binary64`
400×	`log-prod_binary64`
232×	`sqr-pow_binary64`
190×	`cube-prod_binary64`
184×	`fabs-mul_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	415	2513
1	1034	2443
2	3325	2405

Stop Event

1×	node limit

Counts

238 → 253

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 n (log.f64 x)))
(*.f64 -1 (/.f64 n (log.f64 x)))
(*.f64 -1 (/.f64 n (log.f64 x)))
(*.f64 -1 (/.f64 n (log.f64 x)))
(*.f64 -1 (/.f64 n (log.f64 x)))
(*.f64 -1 (/.f64 n (log.f64 x)))
(*.f64 -1 (/.f64 n (log.f64 x)))
(*.f64 -1 (/.f64 n (log.f64 x)))
(*.f64 -1 (/.f64 n (log.f64 x)))
(*.f64 -1 (/.f64 n (log.f64 x)))
(*.f64 -1 (/.f64 n (log.f64 x)))
(*.f64 -1 (/.f64 n (log.f64 x)))
(*.f64 -1 (/.f64 n (log.f64 x)))
(*.f64 -1 (/.f64 n (log.f64 x)))
(*.f64 -1 (/.f64 n (log.f64 x)))
(*.f64 -1 (/.f64 n (log.f64 x)))
(/.f64 n (log.f64 (/.f64 1 x)))
(/.f64 n (log.f64 (/.f64 1 x)))
(/.f64 n (log.f64 (/.f64 1 x)))
(/.f64 n (log.f64 (/.f64 1 x)))
(.f64 -1 (/.f64 n (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(.f64 -1 (/.f64 n (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(.f64 -1 (/.f64 n (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(.f64 -1 (/.f64 n (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(*.f64 -3 (log.f64 x))
(*.f64 -3 (log.f64 x))
(*.f64 -3 (log.f64 x))
(*.f64 -3 (log.f64 x))
(*.f64 3 (log.f64 (/.f64 1 x)))
(*.f64 3 (log.f64 (/.f64 1 x)))
(*.f64 3 (log.f64 (/.f64 1 x)))
(*.f64 3 (log.f64 (/.f64 1 x)))
(.f64 -3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 -3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 -3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 -3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 -1 (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(*.f64 -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 (log.f64 (/.f64 1 x)) n)
(/.f64 (log.f64 (/.f64 1 x)) n)
(/.f64 (log.f64 (/.f64 1 x)) n)
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(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1 (/.f64 (log.f64 x) n))) 1) -1))
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(pow.f64 (*.f64 (log.f64 x) -3) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 (log.f64 x) -3)))
(pow.f64 (*.f64 9 (pow.f64 (log.f64 x) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 (log.f64 x) -3) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 x) -3)) 3)
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (log.f64 x) -3)))) (sqrt.f64 (log.f64 (.f64 (log.f64 x) -3))))
(sqrt.f64 (*.f64 9 (pow.f64 (log.f64 x) 2)))
(log.f64 (pow.f64 x -3))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x -3) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 x) -3) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) -3)))
(log1p.f64 (-.f64 (pow.f64 x -3) 1))
(exp.f64 (log.f64 (*.f64 (log.f64 x) -3)))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 x) -3)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (log.f64 x) -3))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (log.f64 x) -3))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 x) -3))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 -1/3 (log.f64 x))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (log.f64 x) -3)) 1) 1))
(+.f64 0 (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 x -3) (/.f64 1/3 n))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 x -3) (/.f64 1/3 n)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 x -3) (/.f64 1/3 n)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 x -3) (/.f64 1/3 n)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1 (/.f64 (log.f64 x) n)))) 1)
(.f64 -3 (/.f64 (log.f64 x) (.f64 3 n)))
(.f64 (.f64 (log.f64 x) -3) (/.f64 1/3 n))
(.f64 1 (.f64 -1 (/.f64 (log.f64 x) n)))
(.f64 (cbrt.f64 (.f64 -1 (/.f64 (log.f64 x) n))) (cbrt.f64 (pow.f64 (*.f64 -1 (/.f64 n (log.f64 x))) -2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 -1 (/.f64 n (log.f64 x))) -2)) (cbrt.f64 (*.f64 -1 (/.f64 (log.f64 x) n))))
(.f64 (sqrt.f64 (.f64 -1 (/.f64 (log.f64 x) n))) (sqrt.f64 (*.f64 -1 (/.f64 (log.f64 x) n))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(.f64 -1 (/.f64 1 (neg.f64 (.f64 -1 (/.f64 n (log.f64 x))))))
(.f64 (.f64 -1 (/.f64 (log.f64 x) n)) 1)
(.f64 (/.f64 1/3 n) (.f64 (log.f64 x) -3))
(.f64 1/3 (/.f64 (log.f64 x) (.f64 n -1/3)))
(*.f64 (/.f64 (log.f64 x) 3) (/.f64 -3 n))
(*.f64 (/.f64 -3 n) (/.f64 (log.f64 x) 3))
(*.f64 (/.f64 (log.f64 x) n) -1)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 x) -3)) 2) 3) (/.f64 (cbrt.f64 (*.f64 (log.f64 x) -3)) n))
(.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 x) -3)) 3) (/.f64 (sqrt.f64 (*.f64 (log.f64 x) -3)) n))
(.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 x) -3)) n) (/.f64 (sqrt.f64 (*.f64 (log.f64 x) -3)) 3))
(.f64 (/.f64 1 n) (/.f64 (.f64 (log.f64 x) -3) 3))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 x) -3)) 2) n) (/.f64 (cbrt.f64 (*.f64 (log.f64 x) -3)) 3))
(.f64 (/.f64 (log.f64 x) 1) (/.f64 -3 (.f64 3 n)))
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(.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 x) -3)) 1) (/.f64 (sqrt.f64 (.f64 (log.f64 x) -3)) (.f64 3 n)))
(.f64 (/.f64 (log.f64 x) (pow.f64 (cbrt.f64 (.f64 3 n)) 2)) (/.f64 -3 (cbrt.f64 (*.f64 3 n))))
(.f64 (/.f64 -3 (pow.f64 (cbrt.f64 (.f64 3 n)) 2)) (/.f64 (log.f64 x) (cbrt.f64 (*.f64 3 n))))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 n)) -2) (/.f64 (.f64 (log.f64 x) -3) (cbrt.f64 (.f64 3 n))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 x) -3)) 2) (pow.f64 (cbrt.f64 (.f64 3 n)) 2)) (/.f64 (cbrt.f64 (.f64 (log.f64 x) -3)) (cbrt.f64 (*.f64 3 n))))
(.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 x) -3)) (pow.f64 (cbrt.f64 (.f64 3 n)) 2)) (/.f64 (sqrt.f64 (.f64 (log.f64 x) -3)) (cbrt.f64 (*.f64 3 n))))
(.f64 (/.f64 (log.f64 x) (sqrt.f64 (.f64 3 n))) (/.f64 -3 (sqrt.f64 (*.f64 3 n))))
(.f64 (/.f64 -3 (sqrt.f64 (.f64 3 n))) (/.f64 (log.f64 x) (sqrt.f64 (*.f64 3 n))))
(.f64 (pow.f64 (.f64 3 n) -1/2) (/.f64 (.f64 (log.f64 x) -3) (sqrt.f64 (.f64 3 n))))
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(.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 x) -3)) (sqrt.f64 (.f64 3 n))) (/.f64 (sqrt.f64 (.f64 (log.f64 x) -3)) (sqrt.f64 (*.f64 3 n))))
(.f64 (/.f64 1 (.f64 n -3)) (log.f64 (pow.f64 x 3)))
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(.f64 (pow.f64 (cbrt.f64 (.f64 -1 (/.f64 n (log.f64 x)))) -2) (cbrt.f64 (*.f64 -1 (/.f64 (log.f64 x) n))))
(.f64 (/.f64 1 (/.f64 3 (log.f64 x))) (/.f64 1 (.f64 n -1/3)))
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(.f64 (.f64 (/.f64 1/3 n) -3) (log.f64 x))
(.f64 (.f64 (/.f64 1/3 n) 1) (*.f64 (log.f64 x) -3))
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(.f64 (.f64 (/.f64 1/3 n) (sqrt.f64 (.f64 (log.f64 x) -3))) (sqrt.f64 (.f64 (log.f64 x) -3)))
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(pow.f64 (E.f64) (log.f64 (*.f64 -1 (/.f64 (log.f64 x) n))))
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(pow.f64 (cbrt.f64 (*.f64 -1 (/.f64 (log.f64 x) n))) 3)
(pow.f64 (cbrt.f64 (*.f64 -1 (/.f64 n (log.f64 x)))) -3)
(pow.f64 (sqrt.f64 (*.f64 -1 (/.f64 (log.f64 x) n))) 2)
(pow.f64 (sqrt.f64 (*.f64 -1 (/.f64 n (log.f64 x)))) -2)
(pow.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) 1)
(pow.f64 (exp.f64 -1) (log.f64 (*.f64 -1 (/.f64 n (log.f64 x)))))
(pow.f64 (/.f64 (pow.f64 (.f64 (log.f64 x) -3) 3) (pow.f64 (.f64 3 n) 3)) 1/3)
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 -1 (/.f64 (log.f64 x) n))))) (sqrt.f64 (log.f64 (.f64 -1 (/.f64 (log.f64 x) n)))))
(sqrt.f64 (pow.f64 (*.f64 -1 (/.f64 n (log.f64 x))) -2))
(log.f64 (pow.f64 (pow.f64 x -3) (/.f64 1/3 n)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1 (/.f64 (log.f64 x) n)))))
(cbrt.f64 (pow.f64 (*.f64 -1 (/.f64 n (log.f64 x))) -3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (log.f64 x) -3) 3) (pow.f64 (.f64 3 n) 3)))
(expm1.f64 (log1p.f64 (*.f64 -1 (/.f64 (log.f64 x) n))))
(log1p.f64 (expm1.f64 (*.f64 -1 (/.f64 (log.f64 x) n))))
(exp.f64 (log.f64 (*.f64 -1 (/.f64 (log.f64 x) n))))
(exp.f64 (.f64 (log.f64 (.f64 -1 (/.f64 n (log.f64 x)))) -1))
(exp.f64 (.f64 (log.f64 (.f64 -1 (/.f64 (log.f64 x) n))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 -1 (/.f64 n (log.f64 x))) -3)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -1 (/.f64 (log.f64 x) n)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 -1 (/.f64 (log.f64 x) n)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1 (/.f64 n (log.f64 x)))) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1 (/.f64 n (log.f64 x)))) -1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1 (/.f64 (log.f64 x) n))) 1) 1))

Outputs
(*.f64 -1 (/.f64 n (log.f64 x)))
(neg.f64 (/.f64 n (log.f64 x)))
(/.f64 (neg.f64 n) (log.f64 x))
(*.f64 -1 (/.f64 n (log.f64 x)))
(neg.f64 (/.f64 n (log.f64 x)))
(/.f64 (neg.f64 n) (log.f64 x))
(*.f64 -1 (/.f64 n (log.f64 x)))
(neg.f64 (/.f64 n (log.f64 x)))
(/.f64 (neg.f64 n) (log.f64 x))
(*.f64 -1 (/.f64 n (log.f64 x)))
(neg.f64 (/.f64 n (log.f64 x)))
(/.f64 (neg.f64 n) (log.f64 x))
(*.f64 -1 (/.f64 n (log.f64 x)))
(neg.f64 (/.f64 n (log.f64 x)))
(/.f64 (neg.f64 n) (log.f64 x))
(*.f64 -1 (/.f64 n (log.f64 x)))
(neg.f64 (/.f64 n (log.f64 x)))
(/.f64 (neg.f64 n) (log.f64 x))
(*.f64 -1 (/.f64 n (log.f64 x)))
(neg.f64 (/.f64 n (log.f64 x)))
(/.f64 (neg.f64 n) (log.f64 x))
(*.f64 -1 (/.f64 n (log.f64 x)))
(neg.f64 (/.f64 n (log.f64 x)))
(/.f64 (neg.f64 n) (log.f64 x))
(*.f64 -1 (/.f64 n (log.f64 x)))
(neg.f64 (/.f64 n (log.f64 x)))
(/.f64 (neg.f64 n) (log.f64 x))
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(.f64 (/.f64 (log.f64 x) (sqrt.f64 (.f64 n 3))) (/.f64 -3 (sqrt.f64 (*.f64 n 3))))
(pow.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 x) -3)) (sqrt.f64 (.f64 n 3))) 2)
(.f64 (/.f64 1 (.f64 n -3)) (log.f64 (pow.f64 x 3)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(.f64 (/.f64 1 (.f64 3 (/.f64 n (log.f64 x)))) -3)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(.f64 (pow.f64 (cbrt.f64 (.f64 -1 (/.f64 n (log.f64 x)))) -2) (cbrt.f64 (*.f64 -1 (/.f64 (log.f64 x) n))))
(*.f64 (cbrt.f64 (neg.f64 (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (neg.f64 (/.f64 n (log.f64 x)))) -2))
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) (neg.f64 n))) (pow.f64 (cbrt.f64 (/.f64 (neg.f64 n) (log.f64 x))) -2))
(.f64 (/.f64 1 (/.f64 3 (log.f64 x))) (/.f64 1 (.f64 n -1/3)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(.f64 (.f64 (/.f64 1/3 n) (log.f64 x)) -3)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(.f64 (.f64 (/.f64 1/3 n) -3) (log.f64 x))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(.f64 (.f64 (/.f64 1/3 n) 1) (*.f64 (log.f64 x) -3))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(.f64 (.f64 (/.f64 1/3 n) (pow.f64 (cbrt.f64 (.f64 (log.f64 x) -3)) 2)) (cbrt.f64 (.f64 (log.f64 x) -3)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(.f64 (.f64 (/.f64 1/3 n) (sqrt.f64 (.f64 (log.f64 x) -3))) (sqrt.f64 (.f64 (log.f64 x) -3)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(pow.f64 (*.f64 -1 (/.f64 n (log.f64 x))) -1)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(pow.f64 (E.f64) (log.f64 (*.f64 -1 (/.f64 (log.f64 x) n))))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(pow.f64 (pow.f64 (*.f64 -1 (/.f64 n (log.f64 x))) -2) 1/2)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(pow.f64 (pow.f64 (*.f64 -1 (/.f64 n (log.f64 x))) -3) 1/3)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(pow.f64 (pow.f64 (*.f64 -1 (/.f64 n (log.f64 x))) 2) -1/2)
(pow.f64 (pow.f64 (neg.f64 (/.f64 n (log.f64 x))) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 x) (neg.f64 n)) -2) -1/2)
(pow.f64 (pow.f64 (*.f64 -1 (/.f64 n (log.f64 x))) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (neg.f64 (/.f64 n (log.f64 x))) 3) -1/6) (pow.f64 (pow.f64 (neg.f64 (/.f64 n (log.f64 x))) 3) -1/6))
(*.f64 (pow.f64 (pow.f64 (/.f64 (neg.f64 n) (log.f64 x)) 3) -1/6) (pow.f64 (pow.f64 (/.f64 (neg.f64 n) (log.f64 x)) 3) -1/6))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) (neg.f64 n)) -3) -1/6) (pow.f64 (pow.f64 (/.f64 (log.f64 x) (neg.f64 n)) -3) -1/6))
(pow.f64 (cbrt.f64 (*.f64 -1 (/.f64 (log.f64 x) n))) 3)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(pow.f64 (cbrt.f64 (*.f64 -1 (/.f64 n (log.f64 x)))) -3)
(pow.f64 (cbrt.f64 (neg.f64 (/.f64 n (log.f64 x)))) -3)
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 n) (log.f64 x))) -3)
(pow.f64 (sqrt.f64 (*.f64 -1 (/.f64 (log.f64 x) n))) 2)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(pow.f64 (sqrt.f64 (*.f64 -1 (/.f64 n (log.f64 x)))) -2)
(pow.f64 (sqrt.f64 (neg.f64 (/.f64 n (log.f64 x)))) -2)
(pow.f64 (sqrt.f64 (/.f64 (neg.f64 n) (log.f64 x))) -2)
(pow.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) 1)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(pow.f64 (exp.f64 -1) (log.f64 (*.f64 -1 (/.f64 n (log.f64 x)))))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(pow.f64 (/.f64 (pow.f64 (.f64 (log.f64 x) -3) 3) (pow.f64 (.f64 3 n) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (pow.f64 x -3)) 3) (*.f64 27 (pow.f64 n 3))))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) 3) 27) (/.f64 -27 (pow.f64 n 3))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (neg.f64 n) 3)))
(pow.f64 (neg.f64 (neg.f64 (*.f64 -1 (/.f64 n (log.f64 x))))) -1)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(pow.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 x) -3)) (sqrt.f64 (.f64 3 n))) 2)
(.f64 (/.f64 (log.f64 x) (sqrt.f64 (.f64 n 3))) (/.f64 -3 (sqrt.f64 (*.f64 n 3))))
(pow.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 x) -3)) (sqrt.f64 (.f64 n 3))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 -1 (/.f64 (log.f64 x) n)))) 2)) (cbrt.f64 (log.f64 (.f64 -1 (/.f64 (log.f64 x) n)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (neg.f64 (/.f64 (log.f64 x) n)))) 2)) (cbrt.f64 (log.f64 (neg.f64 (/.f64 (log.f64 x) n)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 x) (neg.f64 n)))) 2)) (cbrt.f64 (log.f64 (/.f64 (log.f64 x) (neg.f64 n)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 -1 (/.f64 (log.f64 x) n))))) (sqrt.f64 (log.f64 (.f64 -1 (/.f64 (log.f64 x) n)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (neg.f64 (/.f64 (log.f64 x) n))))) (sqrt.f64 (log.f64 (neg.f64 (/.f64 (log.f64 x) n)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 x) (neg.f64 n))))) (sqrt.f64 (log.f64 (/.f64 (log.f64 x) (neg.f64 n)))))
(sqrt.f64 (pow.f64 (*.f64 -1 (/.f64 n (log.f64 x))) -2))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(log.f64 (pow.f64 (pow.f64 x -3) (/.f64 1/3 n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1 (/.f64 (log.f64 x) n)))))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(cbrt.f64 (pow.f64 (*.f64 -1 (/.f64 n (log.f64 x))) -3))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (log.f64 x) -3) 3) (pow.f64 (.f64 3 n) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (pow.f64 x -3)) 3) (*.f64 27 (pow.f64 n 3))))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) 3) 27) (/.f64 -27 (pow.f64 n 3))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (neg.f64 n) 3)))
(expm1.f64 (log1p.f64 (*.f64 -1 (/.f64 (log.f64 x) n))))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(log1p.f64 (expm1.f64 (*.f64 -1 (/.f64 (log.f64 x) n))))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(exp.f64 (log.f64 (*.f64 -1 (/.f64 (log.f64 x) n))))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(exp.f64 (.f64 (log.f64 (.f64 -1 (/.f64 n (log.f64 x)))) -1))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(exp.f64 (.f64 (log.f64 (.f64 -1 (/.f64 (log.f64 x) n))) 1))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 -1 (/.f64 n (log.f64 x))) -3)) 1/3))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -1 (/.f64 (log.f64 x) n)))) 3))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 -1 (/.f64 (log.f64 x) n)))) 2))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1 (/.f64 n (log.f64 x)))) 1) -1))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1 (/.f64 n (log.f64 x)))) -1) 1))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1 (/.f64 (log.f64 x) n))) 1) 1))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 1/2 (*.f64 n n))
✓	4.7b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
✓	7.6b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x))
✓	12.5b	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))

Compiler

Compiled 109 to 34 computations (68.8% saved)

series22.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
4.0ms	x	@	-inf	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
2.0ms	x	@	0	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))
1.0ms	n	@	inf	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))
1.0ms	n	@	-inf	(.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))

rewrite129.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

485×	`fma-def_binary64`
336×	`expm1-udef_binary64`
336×	`log1p-udef_binary64`
286×	`fma-neg_binary64`
197×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	386	59
2	6034	59

Stop Event

1×	node limit

Counts

4 → 198

Calls

Call 1

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

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

simplify143.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

461×	`associate-l_binary64`
453×	`times-frac_binary64`
441×	`associate-r_binary64`
428×	`associate-/l*_binary64`
357×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	592	7843
1	1763	7685
2	7373	7673

Stop Event

1×	node limit

Counts

282 → 328

Calls

Call 1

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

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

eval541.0ms (2.8%)

Compiler: Compiled 31727 to 17852 computations (43.7% saved)

prune406.0ms (2.1%)

Pruning

44 alts after pruning (41 fresh and 3 done)

	Pruned	Kept	Total
New	1139	20	1159
Fresh	12	21	33
Picked	1	0	1
Done	3	3	6
Total	1155	44	1199

Error

0.0b

Counts

1199 → 44

Alt Table

Click to see full alt table

Status	Error	Program
	42.7b	(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))))
	42.1b	(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 x)) x)) 3) n)
	47.3b	(/.f64 (/.f64 (/.f64 -1/2 x) x) n)
	54.1b	(/.f64 (/.f64 (-.f64 (.f64 -1 (.f64 x x)) (.f64 (neg.f64 x) 1/2)) (.f64 (neg.f64 x) (*.f64 x x))) n)
	41.9b	(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 x)) x) n)
	41.0b	(/.f64 (/.f64 1 x) n)
	41.0b	(/.f64 (/.f64 1 n) x)
	47.1b	(/.f64 (/.f64 -1/2 (*.f64 x x)) n)
	41.0b	(/.f64 (+.f64 (/.f64 1 n) (/.f64 (log.f64 x) (*.f64 n n))) x)
	42.8b	(/.f64 (neg.f64 (log.f64 x)) n)
	21.7b	(/.f64 (log1p.f64 (/.f64 1 x)) n)
	39.7b	(/.f64 (log.f64 1) n)
	29.3b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
✓	61.1b	(/.f64 x n)
	31.8b	(/.f64 1 (/.f64 (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 -1 (/.f64 (.f64 -3 (-.f64 (log1p.f64 x) (log.f64 x))) n) (.f64 9/2 (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))))))
	41.2b	(/.f64 1 (/.f64 (*.f64 3 n) (/.f64 3 x)))
	41.2b	(/.f64 1 (/.f64 (.f64 3 n) (.f64 3 (/.f64 1 x))))
	42.8b	(/.f64 1 (/.f64 (neg.f64 n) (log.f64 x)))
	41.7b	(/.f64 1 (+.f64 (.f64 n x) (+.f64 (.f64 1/4 (/.f64 n x)) (+.f64 (.f64 1/2 n) (.f64 -1/3 (/.f64 n x))))))
	38.7b	(/.f64 1 (+.f64 (.f64 n x) (.f64 1/2 n)))
✓	41.2b	(/.f64 1 (*.f64 x n))
	38.7b	(/.f64 1 (*.f64 n (+.f64 x 1/2)))
	42.8b	(/.f64 1 (.f64 n (.f64 3 (/.f64 -1/3 (log.f64 x)))))
	47.1b	(/.f64 -1/2 (.f64 n (.f64 x x)))
	42.8b	(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
	47.0b	(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
	29.3b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
✓	40.8b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
	36.1b	(+.f64 (/.f64 (pow.f64 x (/.f64 1 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))))
	21.0b	(+.f64 (/.f64 (.f64 1 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) n) (.f64 (/.f64 1/2 n) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n)))
	41.9b	(+.f64 (/.f64 (.f64 1 (-.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 (/.f64 1/2 n) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n)))
	41.4b	(+.f64 (/.f64 (.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) (.f64 (/.f64 1/2 n) (/.f64 (/.f64 (*.f64 2 (log.f64 x)) x) n)))
	45.3b	(+.f64 (/.f64 (.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) (.f64 (/.f64 1/2 n) (/.f64 (+.f64 (/.f64 2 (/.f64 x (log.f64 x))) (-.f64 (/.f64 1 (.f64 x x)) (/.f64 (log.f64 x) (.f64 x x)))) n)))
	41.7b	(+.f64 (/.f64 (.f64 1 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (.f64 x x))))) n) (*.f64 (/.f64 1/2 n) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n)))
	20.9b	(+.f64 (/.f64 (.f64 1 (log.f64 (/.f64 (+.f64 x 1) x))) n) (.f64 (/.f64 1/2 n) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n)))
	39.1b	(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (/.f64 -1/2 (.f64 x (*.f64 x n))))
	43.5b	(+.f64 (/.f64 x n) (-.f64 (/.f64 (.f64 -1/2 (.f64 x x)) n) (/.f64 (log.f64 x) n)))
	37.9b	(+.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))))))
	36.0b	(+.f64 (.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n))))
	42.8b	(.f64 (.f64 (/.f64 1/3 n) (log.f64 x)) -3)
	42.8b	(.f64 (.f64 (/.f64 1/3 n) -3) (log.f64 x))
	42.8b	(.f64 1/3 (/.f64 (log.f64 x) (.f64 n -1/3)))
	42.8b	(.f64 -3 (/.f64 (log.f64 x) (.f64 3 n)))
	33.4b	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))

Compiler

Compiled 803 to 546 computations (32% saved)

regimes621.0ms (3.2%)

Counts

94 → 2

Calls

Call 1

Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 -1/2 (.f64 n (.f64 x x)))
(/.f64 1 (*.f64 n (+.f64 x 1/2)))
(/.f64 (/.f64 -1/2 (*.f64 x x)) n)
(/.f64 (/.f64 (/.f64 -1/2 x) x) n)
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 1 (+.f64 (.f64 n x) (.f64 1/2 n)))
(/.f64 1 (/.f64 (*.f64 3 n) (/.f64 3 x)))
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 x)) x) n)
(/.f64 1 (/.f64 (.f64 3 n) (.f64 3 (/.f64 1 x))))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n))
(/.f64 (/.f64 (-.f64 (.f64 -1 (.f64 x x)) (.f64 (neg.f64 x) 1/2)) (.f64 (neg.f64 x) (*.f64 x x))) n)
(/.f64 1 (+.f64 (.f64 n x) (+.f64 (.f64 1/4 (/.f64 n x)) (+.f64 (.f64 1/2 n) (.f64 -1/3 (/.f64 n x))))))
(*.f64 3 (log.f64 1))
(/.f64 (log.f64 1) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 1 (/.f64 (neg.f64 n) (log.f64 x)))
(.f64 -3 (/.f64 (log.f64 x) (.f64 3 n)))
(.f64 1/3 (/.f64 (log.f64 x) (.f64 n -1/3)))
(.f64 (.f64 (/.f64 1/3 n) -3) (log.f64 x))
(.f64 (.f64 (/.f64 1/3 n) (log.f64 x)) -3)
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(*.f64 (neg.f64 (-.f64 x (log.f64 x))) (/.f64 1 (neg.f64 n)))
(/.f64 1 (.f64 n (.f64 3 (/.f64 -1/3 (log.f64 x)))))
(/.f64 1 (/.f64 (.f64 3 n) (.f64 (log.f64 x) -3)))
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
(/.f64 (+.f64 (/.f64 1 n) (/.f64 (log.f64 x) (*.f64 n n))) x)
(+.f64 (/.f64 x n) (-.f64 (/.f64 (.f64 -1/2 (.f64 x x)) n) (/.f64 (log.f64 x) n)))
(/.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))) n)
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) 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) n) (/.f64 (log.f64 x) n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(.f64 3 (/.f64 (.f64 1/3 (-.f64 (log1p.f64 x) (log.f64 x))) n))
(.f64 3 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (.f64 3 n)))
(.f64 (.f64 (/.f64 1/3 n) 3) (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (/.f64 3 n))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 x)) x)) 3) n)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(/.f64 1 (/.f64 (.f64 3 n) (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x)))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (/.f64 -1/2 (.f64 x (*.f64 x n))))
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(+.f64 (/.f64 (.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) (.f64 (/.f64 1/2 n) (/.f64 (/.f64 (*.f64 2 (log.f64 x)) x) n)))
(+.f64 (/.f64 (pow.f64 x (/.f64 1 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 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n))))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 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 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) (.f64 (/.f64 1/2 n) (/.f64 (+.f64 (/.f64 2 (/.f64 x (log.f64 x))) (-.f64 (/.f64 1 (.f64 x x)) (/.f64 (log.f64 x) (.f64 x x)))) n)))
(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 n -2) (neg.f64 (/.f64 (log.f64 x) (.f64 n n)))) (.f64 x x)) (+.f64 (/.f64 1 (.f64 x n)) (-.f64 (/.f64 (log.f64 x) (.f64 x (.f64 n n))) (/.f64 1/2 (.f64 n (*.f64 x x))))))
(exp.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
(+.f64 (/.f64 (.f64 1 (log.f64 (/.f64 (+.f64 x 1) x))) n) (.f64 (/.f64 1/2 n) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n)))
(+.f64 (/.f64 (.f64 1 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (.f64 x x))))) n) (*.f64 (/.f64 1/2 n) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (exp.f64 (pow.f64 x (/.f64 1 n)))))
(*.f64 2 (log.f64 (sqrt.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 (/.f64 (.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) (.f64 (/.f64 1/2 n) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n)))
(+.f64 (/.f64 (.f64 1 (-.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 (/.f64 1/2 n) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) 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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(+.f64 (-.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (log1p.f64 x) n)) (/.f64 (log.f64 x) n)) (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)))
(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 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x)))) n)
(+.f64 (/.f64 (.f64 1 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) n) (.f64 (/.f64 1/2 n) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) 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 (/.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 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 (.f64 -2/3 (neg.f64 (log.f64 x))) (.f64 n n)) (/.f64 1 (.f64 n n))) (pow.f64 x 3)) (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 (/.f64 (neg.f64 (log.f64 x)) (.f64 x (.f64 n n))) (+.f64 (/.f64 1 (.f64 x n)) (/.f64 1/3 (.f64 n (pow.f64 x 3))))))) (/.f64 (/.f64 1/2 n) (*.f64 x x)))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (log1p.f64 x) n)) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))) 3))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (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 1 (/.f64 (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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 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 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 (.f64 -2/3 (neg.f64 (log.f64 x))) (.f64 n n)) (/.f64 1 (.f64 n n))) (pow.f64 x 3)) (+.f64 (/.f64 1/3 (.f64 n (pow.f64 x 3))) (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 (+.f64 (/.f64 11/12 (.f64 n n)) (/.f64 (.f64 1/2 (neg.f64 (log.f64 x))) (.f64 n n))) (pow.f64 x 4)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 x)) (.f64 x (.f64 n n))) (/.f64 1 (.f64 x n))))))) (+.f64 (/.f64 (/.f64 1/2 n) (.f64 x x)) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))
(+.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 1 (/.f64 (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 -1 (/.f64 (.f64 -3 (-.f64 (log1p.f64 x) (log.f64 x))) n) (.f64 9/2 (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.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)))))))
(.f64 3 (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -2/3 (.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 2))) (+.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (.f64 1/3 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 2)))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))) (+.f64 (.f64 2/27 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 3)) (.f64 2 (-.f64 (+.f64 (.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (+.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (.f64 1/6 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 3)))) (+.f64 (.f64 1/6 (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 1/27 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 3)) (.f64 2/3 (.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 2))) (+.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (.f64 1/3 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 2)))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))))))) (pow.f64 n 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2/3 (-.f64 (+.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 2))) (+.f64 (.f64 1/2 (pow.f64 (log.f64 x) 2)) (.f64 1/3 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 2))))) (.f64 -1/9 (pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 2))) (pow.f64 n 2))) (*.f64 1/3 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)))))

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

Calls

6 calls:

144.0ms	(/.f64 1 n)
141.0ms	(/.f64 1 n)
128.0ms	n
80.0ms	x
18.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
1.4b	2	`x`
1.7b	3	`n`
11.5b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
11.5b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
1.5b	3	`(/.f64 1 n)`
1.5b	3	`(/.f64 1 n)`

Compiler

Compiled 2156 to 1189 computations (44.9% saved)

bsearch53.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
52.0ms	0.0695502879576085	84.20103608137497

Results

19.0ms	52×	body	1024	valid
14.0ms	59×	body	256	infinite
11.0ms	44×	body	512	valid
4.0ms	6×	body	2048	valid
4.0ms	26×	body	256	valid

Compiler

Compiled 188 to 135 computations (28.2% saved)

regimes288.0ms (1.5%)

Counts

43 → 3

Calls

Call 1

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

Outputs
(*.f64 3 (log.f64 1))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))

Calls

4 calls:

81.0ms	n
75.0ms	x
62.0ms	(/.f64 1 n)
58.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
9.9b	3	`x`
1.8b	4	`n`
1.8b	3	`(/.f64 1 n)`
1.8b	3	`(/.f64 1 n)`

Compiler

Compiled 399 to 229 computations (42.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0551953528204104e-10	2.818807776376928e-10
0.0ms	-1610.968197537615	-5.06494116424723e-7

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes315.0ms (1.6%)

Counts

39 → 3

Calls

Call 1

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

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

Calls

4 calls:

117.0ms	x
86.0ms	n
52.0ms	(/.f64 1 n)
51.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
16.1b	4	`x`
1.9b	4	`n`
1.9b	3	`(/.f64 1 n)`
1.9b	3	`(/.f64 1 n)`

Compiler

Compiled 368 to 219 computations (40.5% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0551953528204104e-10	2.818807776376928e-10
0.0ms	-1610.968197537615	-5.06494116424723e-7

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes215.0ms (1.1%)

Counts

24 → 3

Calls

Call 1

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

Outputs
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(*.f64 3 (log.f64 1))
(/.f64 (log1p.f64 (/.f64 1 x)) n)

Calls

4 calls:

88.0ms	x
51.0ms	(/.f64 1 n)
45.0ms	n
25.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
18.1b	4	`x`
10.6b	3	`n`
10.6b	2	`(/.f64 1 n)`
10.6b	2	`(/.f64 1 n)`

Compiler

Compiled 220 to 137 computations (37.7% saved)

bsearch90.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
48.0ms	-8.35739129220041e-307	3.3658577674484077e-296
41.0ms	-1974356.5967930122	-0.0006207447183181595

Results

27.0ms	21×	body	1024	infinite
20.0ms	39×	body	1024	valid
16.0ms	99×	body	256	valid
11.0ms	66×	body	256	unsamplable
5.0ms	10×	body	512	infinite
4.0ms	24×	body	256	infinite
3.0ms	1×	body	2048	valid
2.0ms	6×	body	512	valid

Compiler

Compiled 164 to 141 computations (14% saved)

regimes199.0ms (1%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

4 calls:

71.0ms	n
45.0ms	(/.f64 1 n)
45.0ms	(/.f64 1 n)
32.0ms	x

Results

Error	Segments	Branch
19.8b	3	`x`
26.3b	5	`n`
26.3b	4	`(/.f64 1 n)`
26.3b	4	`(/.f64 1 n)`

Compiler

Compiled 208 to 131 computations (37% saved)

bsearch131.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
52.0ms	7.478769652541463e+96	8.639706855892135e+97
78.0ms	0.0695502879576085	84.20103608137497

Results

57.0ms	85×	body	1024	valid
26.0ms	39×	body	2048	valid
16.0ms	61×	body	256	infinite
12.0ms	50×	body	512	valid
8.0ms	26×	body	256	unsamplable
7.0ms	50×	body	256	valid
0.0ms	1×	body	512	infinite

Compiler

Compiled 462 to 329 computations (28.8% saved)

regimes127.0ms (0.7%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

4 calls:

49.0ms	x
30.0ms	n
23.0ms	(/.f64 1 n)
20.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
34.9b	4	`x`
27.5b	3	`n`
27.5b	2	`(/.f64 1 n)`
27.5b	2	`(/.f64 1 n)`

Compiler

Compiled 203 to 128 computations (36.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1610.968197537615	-5.06494116424723e-7

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes129.0ms (0.7%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

4 calls:

58.0ms	x
27.0ms	n
20.0ms	(/.f64 1 n)
18.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
35.7b	4	`x`
33.8b	3	`n`
33.8b	2	`(/.f64 1 n)`
33.8b	2	`(/.f64 1 n)`

Compiler

Compiled 195 to 121 computations (37.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1610.968197537615	-5.06494116424723e-7

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes50.0ms (0.3%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	n
13.0ms	x
11.0ms	(/.f64 1 n)
9.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
39.4b	2	`x`
36.2b	3	`n`
36.2b	2	`(/.f64 1 n)`
36.2b	2	`(/.f64 1 n)`

Compiler

Compiled 50 to 33 computations (34% saved)

bsearch120.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
80.0ms	-8.35739129220041e-307	3.3658577674484077e-296
40.0ms	-1974356.5967930122	-0.0006207447183181595

Results

45.0ms	48×	body	1024	infinite
16.0ms	100×	body	256	valid
14.0ms	26×	body	1024	valid
14.0ms	82×	body	256	unsamplable
11.0ms	21×	body	512	infinite
8.0ms	37×	body	256	infinite
5.0ms	18×	body	512	valid
3.0ms	2×	body	2048	valid

Compiler

Compiled 182 to 132 computations (27.5% saved)

regimes21.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	n
4.0ms	(/.f64 1 n)
4.0ms	(/.f64 1 n)
4.0ms	x

Results

Error	Segments	Branch
41.0b	1	`x`
41.0b	1	`n`
41.0b	1	`(/.f64 1 n)`
41.0b	1	`(/.f64 1 n)`

Compiler

Compiled 43 to 29 computations (32.6% saved)

regimes45.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	x
4.0ms	n
3.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
41.0b	1	`x`
41.0b	1	`n`
41.0b	1	`(/.f64 1 n)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes7.0ms (0%)

Accuracy

Total -20.5b remaining (-49.8%)

Threshold costs -20.5b (-49.8%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	n
3.0ms	x

Results

Error	Segments	Branch
41.2b	1	`x`
41.2b	1	`n`

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	299
1	95	299
2	104	299
3	110	299
4	112	299

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x 1261007895663739/2251799813685248) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(if (<=.f64 (/.f64 1 n) -1000) (*.f64 3 (log.f64 1)) (if (<=.f64 (/.f64 1 n) 7737125245533627/38685626227668133590597632) (/.f64 (log1p.f64 (/.f64 1 x)) n) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))))
(if (<=.f64 (/.f64 1 n) -1000) (*.f64 3 (log.f64 1)) (if (<=.f64 (/.f64 1 n) 7737125245533627/38685626227668133590597632) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 n -2476979795053773/562949953421312) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -5286108841600811/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712) (*.f64 3 (log.f64 1)) (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(if (<=.f64 x 5944751508129055/18014398509481984) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 84999999999999992973986146606136415640887399617109606917761790828504944165007222017889764932321280) (/.f64 1 (+.f64 (.f64 n x) (+.f64 (.f64 1/4 (/.f64 n x)) (+.f64 (.f64 1/2 n) (.f64 -1/3 (/.f64 n x)))))) (*.f64 3 (log.f64 1))))
(if (<=.f64 (/.f64 1 n) -1000) (.f64 3 (log.f64 1)) (/.f64 1 (.f64 n (+.f64 x 1/2))))
(if (<=.f64 (/.f64 1 n) -1000) (/.f64 -1/2 (.f64 n (.f64 x x))) (/.f64 1 (*.f64 n (+.f64 x 1/2))))
(if (<=.f64 n -4728779608739021/2251799813685248) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -5286108841600811/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712) (/.f64 -1/2 (.f64 n (.f64 x x))) (/.f64 (/.f64 1 n) x)))
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))
(/.f64 x n)

Outputs
(if (<=.f64 x 1261007895663739/2251799813685248) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(if (<=.f64 (/.f64 1 n) -1000) (*.f64 3 (log.f64 1)) (if (<=.f64 (/.f64 1 n) 7737125245533627/38685626227668133590597632) (/.f64 (log1p.f64 (/.f64 1 x)) n) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))))
(if (<=.f64 (/.f64 1 n) -1000) 0 (if (<=.f64 (/.f64 1 n) 7737125245533627/38685626227668133590597632) (/.f64 (log1p.f64 (/.f64 1 x)) n) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))))
(if (<=.f64 (/.f64 1 n) -1000) (*.f64 3 (log.f64 1)) (if (<=.f64 (/.f64 1 n) 7737125245533627/38685626227668133590597632) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -1000) 0 (if (<=.f64 (/.f64 1 n) 7737125245533627/38685626227668133590597632) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 n -2476979795053773/562949953421312) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -5286108841600811/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712) (*.f64 3 (log.f64 1)) (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(if (<=.f64 n -2476979795053773/562949953421312) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -5286108841600811/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712) 0 (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(if (<=.f64 x 5944751508129055/18014398509481984) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 84999999999999992973986146606136415640887399617109606917761790828504944165007222017889764932321280) (/.f64 1 (+.f64 (.f64 n x) (+.f64 (.f64 1/4 (/.f64 n x)) (+.f64 (.f64 1/2 n) (.f64 -1/3 (/.f64 n x)))))) (*.f64 3 (log.f64 1))))
(if (<=.f64 x 5944751508129055/18014398509481984) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 84999999999999992973986146606136415640887399617109606917761790828504944165007222017889764932321280) (/.f64 1 (+.f64 (.f64 x n) (+.f64 (.f64 1/4 (/.f64 n x)) (+.f64 (.f64 n 1/2) (.f64 (/.f64 n x) -1/3))))) 0))
(if (<=.f64 (/.f64 1 n) -1000) (.f64 3 (log.f64 1)) (/.f64 1 (.f64 n (+.f64 x 1/2))))
(if (<=.f64 (/.f64 1 n) -1000) 0 (/.f64 1 (*.f64 n (+.f64 x 1/2))))
(if (<=.f64 (/.f64 1 n) -1000) (/.f64 -1/2 (.f64 n (.f64 x x))) (/.f64 1 (*.f64 n (+.f64 x 1/2))))
(if (<=.f64 n -4728779608739021/2251799813685248) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -5286108841600811/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712) (/.f64 -1/2 (.f64 n (.f64 x x))) (/.f64 (/.f64 1 n) x)))
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))
(/.f64 x n)

Compiler

Compiled 227 to 162 computations (28.6% saved)

soundness181.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

718×	`times-frac_binary64`
480×	`distribute-rgt-in_binary64`
469×	`cancel-sign-sub-inv_binary64`
456×	`fma-neg_binary64`
420×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	949
1	290	901
2	888	883
3	4228	843
0	470	6370
1	1183	5813
2	3788	5495

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 202 to 152 computations (24.8% saved)

end147.0ms (0.8%)

Compiler: Compiled 205 to 131 computations (36.1% saved)