Details

analyze969.0ms (5.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
18.7%	68.7%	12.6%	5
21.9%	59.3%	18.8%	6
25%	50%	25.1%	7
26.5%	45.3%	28.2%	8
28.1%	35.9%	36%	9
28.9%	32.4%	38.7%	10
30.3%	26.5%	43.1%	11
30.7%	25%	44.3%	12
31.1%	22.3%	46.6%	13
31.3%	21.2%	47.5%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample8.4s (50.4%)

Results

2.2s	2736×	body	1024	valid
2.0s	1721×	body	1024	invalid
1.6s	1792×	body	2048	valid
740.0ms	1022×	body	512	invalid
709.0ms	1228×	body	512	valid
354.0ms	1868×	body	128	valid
233.0ms	632×	body	256	valid
221.0ms	537×	body	256	invalid
206.0ms	1206×	body	128	invalid
7.0ms	5×	body	2048	invalid

preprocess31.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

754×	`fma-def_binary64`
470×	`distribute-rgt-in_binary64`
438×	`distribute-lft-in_binary64`
314×	`associate-l_binary64`
268×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	33	38
2	76	38
3	195	38
4	656	38
5	2206	38
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 15 to 11 computations (26.7% saved)

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

436×	`unswap-sqr_binary64`
377×	`fma-def_binary64`
235×	`distribute-rgt-in_binary64`
219×	`distribute-lft-in_binary64`
212×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

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)))

prune2.0ms (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

30.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	30.1b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 45 to 33 computations (26.7% saved)

localize6.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓	0.0b	(pow.f64 x (/.f64 1 n))
✓	2.4b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

series66.0ms (0.4%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
24.0ms	x	@	0	(pow.f64 x (/.f64 1 n))
20.0ms	x	@	-inf	(pow.f64 x (/.f64 1 n))
8.0ms	x	@	inf	(pow.f64 x (/.f64 1 n))
3.0ms	n	@	-inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
2.0ms	x	@	-inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`prod-diff_binary64`
294×	`fma-def_binary64`
178×	`log1p-udef_binary64`
177×	`expm1-udef_binary64`
155×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

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

Outputs
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Outputs

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

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

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

699×	`fma-def_binary64`
554×	`times-frac_binary64`
441×	`associate-/l*_binary64`
202×	`cancel-sign-sub-inv_binary64`
132×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	2445
1	520	2313
2	1779	2197

Stop Event

1×	node limit

Counts

217 → 219

Calls

Call 1

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

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

prune534.0ms (3.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	213	6	219
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	214	6	220

Error

0.7b

Counts

220 → 6

Alt Table

Status	Error	Program
	40.9b	(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))
	29.9b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
	25.2b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (.f64 (/.f64 1/2 (*.f64 n n)) (pow.f64 (log.f64 x) 2))))))
▶	23.6b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))
	30.1b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n)))))
	32.9b	(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (*.f64 n n)))) x))))

Compiler

Compiled 7386 to 4489 computations (39.2% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.0b	(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n))
✓	4.5b	(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))
✓	6.8b	(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))
✓	8.0b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))

series52.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
16.0ms	n	@	0	(/.f64 (pow.f64 (log1p.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)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))
5.0ms	x	@	inf	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))
3.0ms	n	@	-inf	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))
3.0ms	n	@	0	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))

rewrite55.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

246×	`add-sqr-sqrt_binary64`
242×	`pow1_binary64`
237×	`*-un-lft-identity_binary64`
234×	`add-log-exp_binary64`
234×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	146
1	517	146

Stop Event

1×	node limit

Counts

4 → 77

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (neg.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) (sqrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (neg.f64 (.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 1))) (fma.f64 (neg.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 1 (.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (neg.f64 (.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 1))) (fma.f64 (neg.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 1 (.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (neg.f64 (.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 1))) (fma.f64 (neg.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 1 (.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (neg.f64 (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (neg.f64 (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (neg.f64 (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 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simplify87.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

454×	`fma-def_binary64`
411×	`associate-+r+_binary64`
296×	`associate-+l+_binary64`
245×	`associate-/r*_binary64`
217×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	390	6889
1	1373	6495

Stop Event

1×	node limit

Counts

173 → 185

Calls

Call 1

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

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

prune462.0ms (2.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	180	5	185
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	181	10	191

Error

0.1b

Counts

191 → 10

Alt Table

Status	Error	Program
	40.9b	(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))
	29.9b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
	32.9b	(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (*.f64 n n)))) x))))
	34.2b	(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) 2) (pow.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 2)) (+.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))
	37.8b	(/.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3))) (+.f64 (/.f64 (log.f64 x) (.f64 n n)) (/.f64 1 n))) x)
▶	24.0b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) 2) (cbrt.f64 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))))
	25.2b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (.f64 (/.f64 1/2 (*.f64 n n)) (pow.f64 (log.f64 x) 2))))))
	30.1b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n)))))
	47.6b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2))
	35.1b	(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) 2)

Compiler

Compiled 15343 to 9436 computations (38.5% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.5b	(cbrt.f64 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))
✓	4.5b	(fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))
✓	6.8b	(fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))
✓	8.0b	(-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))

series73.0ms (0.4%)

Counts

4 → 80

Calls

24 calls:

Time	Variable		Point	Expression
32.0ms	x	@	inf	(cbrt.f64 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))
22.0ms	x	@	-inf	(cbrt.f64 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))
5.0ms	x	@	0	(cbrt.f64 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))
3.0ms	n	@	0	(cbrt.f64 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))
1.0ms	x	@	-inf	(-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))

rewrite53.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

258×	`add-sqr-sqrt_binary64`
251×	`pow1_binary64`
245×	`*-un-lft-identity_binary64`
245×	`add-log-exp_binary64`
245×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	204
1	547	204

Stop Event

1×	node limit

Counts

4 → 73

Calls

Call 1

Inputs
(-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))
(fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))
(fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))
(cbrt.f64 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (neg.f64 (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) (sqrt.f64 (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (neg.f64 (.f64 (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 1))) (fma.f64 (neg.f64 (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 1 (.f64 (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n 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(.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) 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(log.f64 x) n)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) 2) (cbrt.f64 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))))))) (#(struct:change 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simplify99.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

502×	`fma-def_binary64`
229×	`associate-/r*_binary64`
222×	`associate-r_binary64`
204×	`times-frac_binary64`
151×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	442	8238
1	1566	7792

Stop Event

1×	node limit

Counts

153 → 171

Calls

Call 1

Inputs
(.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(+.f64 (/.f64 x n) (.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))))
(+.f64 (/.f64 x n) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) (.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) (.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))))))
(/.f64 (+.f64 (/.f64 1 n) (+.f64 (.f64 1/6 (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))))) x)
(-.f64 (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))))) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) x)) (/.f64 1 (.f64 n x)))))) (/.f64 1/2 (.f64 n (pow.f64 x 2))))
(-.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 n x)) (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 3)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (log.f64 (/.f64 1 x))) n))))) (pow.f64 x 3))) (+.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 1/6 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))))) (pow.f64 x 2))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) x)) (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x)))))))))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (-.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (.f64 1/4 (/.f64 1 (pow.f64 n 2))))) (log.f64 (/.f64 1 x))) n)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) n)) (.f64 -4/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3)))))) (/.f64 1 (pow.f64 n 3))) (pow.f64 x 4))) (+.f64 (.f64 1/3 (/.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 n x)) (+.f64 (.f64 1/6 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 3)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (log.f64 (/.f64 1 x))) n))))) (pow.f64 x 3))) (+.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 1/6 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))))) (pow.f64 x 2))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) x)) (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x)))))))))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))) (.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4))))))
(.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (.f64 1/6 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 3))) (.f64 -2 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 3)))))) (/.f64 1 n)) x))
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Outputs
(.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
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(/.f64 (cbrt.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) n)
(+.f64 (.f64 (pow.f64 (-.f64 (.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 1/6 (pow.f64 (log.f64 x) 3))) 1/3) (/.f64 1 n)) (.f64 1/3 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3))) 2)) 1/9))))
(fma.f64 (cbrt.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (/.f64 1 n) (.f64 (.f64 1/3 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)) 1/18))))
(fma.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)) 1/18)) (/.f64 (cbrt.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) n))
(+.f64 (.f64 (pow.f64 (-.f64 (.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 1/6 (pow.f64 (log.f64 x) 3))) 1/3) (/.f64 1 n)) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 1/6 (pow.f64 (log.f64 x) 3))) 2)) 1/9))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 1/6 (pow.f64 (log.f64 x) 3))) 2)) 1/3) (.f64 n (-.f64 (log.f64 (+.f64 1 x)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 1/6 (pow.f64 (log.f64 x) 3)))) 1/9) (pow.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) 2))) (log.f64 x))))))))
(fma.f64 (cbrt.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (/.f64 1 n) (.f64 1/3 (+.f64 (.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)) 1/18))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2))) n) (-.f64 (log1p.f64 x) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) 1/18) (pow.f64 (/.f64 1 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) 1/18)) (pow.f64 (*.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2)) (log.f64 x)))))))
(fma.f64 1/3 (fma.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)) 1/18)) (.f64 n (.f64 (-.f64 (log1p.f64 x) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 1/18) (pow.f64 (/.f64 6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 1/18)) (pow.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2)) (log.f64 x))) (cbrt.f64 (/.f64 1 (pow.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)))))) (/.f64 (cbrt.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) n))
(+.f64 (.f64 (pow.f64 (-.f64 (.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 1/6 (pow.f64 (log.f64 x) 3))) 1/3) (/.f64 1 n)) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 1/6 (pow.f64 (log.f64 x) 3))) 2)) 1/9))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 1/6 (pow.f64 (log.f64 x) 3))) 2)) 1/3) (.f64 n (-.f64 (log.f64 (+.f64 1 x)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 1/6 (pow.f64 (log.f64 x) 3)))) 1/9) (pow.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) 2))) (log.f64 x)))))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 1/6 (pow.f64 (log.f64 x) 3))) 2)) 1/3) (.f64 (pow.f64 n 2) (+.f64 (.f64 1/27 (.f64 (pow.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) 3) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 1/6 (pow.f64 (log.f64 x) 3))) 2)) 1/3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 1/6 (pow.f64 (log.f64 x) 3))) 5)) 1/9) (.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)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 1/6 (pow.f64 (log.f64 x) 3)))) 1/9) (pow.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) 2))) (log.f64 x)))))))))))))
(fma.f64 (cbrt.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (/.f64 1 n) (fma.f64 1/3 (.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)) 1/18))) (fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2))) n) (-.f64 (log1p.f64 x) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) 1/18) (pow.f64 (/.f64 1 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) 1/18)) (pow.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2)) (log.f64 x)))) (.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2))) (.f64 n n)) (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2))) (pow.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 3)) (.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 5)) 1/18))) (.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (-.f64 (log1p.f64 x) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) 1/18) (pow.f64 (/.f64 1 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) 1/18)) (pow.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2)) (log.f64 x)))))))))))
(+.f64 (fma.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)) 1/18)) (/.f64 (cbrt.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) n)) (fma.f64 -1/3 (.f64 (.f64 n n) (.f64 (fma.f64 2/3 (.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (.f64 (-.f64 (log1p.f64 x) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 1/18) (pow.f64 (/.f64 6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 1/18)) (pow.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2)) (log.f64 x))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 5)) 1/18)))) (.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2))) (pow.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 3)))) (cbrt.f64 (/.f64 1 (pow.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2))))) (.f64 1/3 (.f64 n (.f64 (-.f64 (log1p.f64 x) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 1/18) (pow.f64 (/.f64 6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 1/18)) (pow.f64 (.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2)) (log.f64 x))) (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2))))))))

prune1.6s (9.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	341	1	342
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	341	11	352

Error

0.1b

Counts

352 → 11

Alt Table

Status	Error	Program
	40.9b	(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))
	29.9b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
	32.9b	(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (*.f64 n n)))) x))))
	34.2b	(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) 2) (pow.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 2)) (+.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))
	37.8b	(/.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3))) (+.f64 (/.f64 (log.f64 x) (.f64 n n)) (/.f64 1 n))) x)
✓	24.0b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) 2) (cbrt.f64 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))))
	25.2b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (.f64 (/.f64 1/2 (*.f64 n n)) (pow.f64 (log.f64 x) 2))))))
	30.1b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n)))))
	47.6b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2))
▶	24.0b	(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) 2) (cbrt.f64 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))))) 2) (cbrt.f64 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))))
	35.1b	(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) 2)

Compiler

Compiled 48313 to 29917 computations (38.1% saved)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.8b	(fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))
	6.8b	(fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))
	8.0b	(-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))
✓	8.0b	(-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))

series8.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))
1.0ms	x	@	-inf	(-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))
1.0ms	x	@	inf	(-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))
0.0ms	n	@	-inf	(-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))
0.0ms	n	@	0	(-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))

rewrite42.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

250×	`add-sqr-sqrt_binary64`
244×	`pow1_binary64`
238×	`*-un-lft-identity_binary64`
238×	`add-log-exp_binary64`
238×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	101
1	529	101

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (neg.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) (sqrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (neg.f64 (*.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 1))) (fma.f64 (neg.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 1 (*.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (neg.f64 (*.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 1))) (fma.f64 (neg.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 1 (*.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (neg.f64 (*.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 1))) (fma.f64 (neg.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 1 (*.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2) (*.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2) (*.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2) (*.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) 2) (cbrt.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 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simplify87.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

407×	`cancel-sign-sub-inv_binary64`
299×	`fma-def_binary64`
266×	`fma-neg_binary64`
206×	`+-commutative_binary64`
202×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	292	4031
1	1026	3812
2	4080	3661

Stop Event

1×	node limit

Counts

92 → 95

Calls

Call 1

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

prune1.5s (8.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	284	0	284
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	284	11	295

Error

0.1b

Counts

295 → 11

Alt Table

Status	Error	Program
	40.9b	(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))
	29.9b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
	32.9b	(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (*.f64 n n)))) x))))
	34.2b	(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) 2) (pow.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 2)) (+.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))
	37.8b	(/.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3))) (+.f64 (/.f64 (log.f64 x) (.f64 n n)) (/.f64 1 n))) x)
✓	24.0b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) 2) (cbrt.f64 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))))
	25.2b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (.f64 (/.f64 1/2 (*.f64 n n)) (pow.f64 (log.f64 x) 2))))))
	30.1b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n)))))
	47.6b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2))
✓	24.0b	(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) 2) (cbrt.f64 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))))) 2) (cbrt.f64 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))))
	35.1b	(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) 2)

Compiler

Compiled 51802 to 30853 computations (40.4% saved)

regimes939.0ms (5.6%)

Accuracy

Total -58.2b remaining (-1025.2%)

Threshold costs -58.2b (-1025.2%)

Counts

66 → 4

Calls

Call 1

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

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

Results

169.0ms	5.7b	`x`
239.0ms	9.0b	`n`
10.0ms	12.3b	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
199.0ms	9.8b	`(/.f64 1 n)`
204.0ms	9.8b	`(/.f64 1 n)`

Compiler

Compiled 4110 to 2323 computations (43.5% saved)

bsearch1.3s (7.9%)

Algorithm

3×	binary-search

Calls

3 calls:

587.0ms	x
492.0ms	x
236.0ms	x

Steps

Iters	Point		Range
2.1e-13	∈ [	2.047821362432981e-13	,	1585893.1157066938	]
1.7e-225	∈ [	1.5004972622814417e-226	,	1.7416984947326216e-225	]
2.7e-246	∈ [	6.864244076236407e-248	,	2.7268239894453004e-246	]

Compiler

Compiled 2006 to 1560 computations (22.2% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

39×	`+-commutative_binary64`
39×	`distribute-rgt-neg-in_binary64`
36×	`neg-sub0_binary64`
33×	`*-commutative_binary64`
32×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	226
1	116	222
2	164	218
3	245	218
4	330	218
5	393	218
6	420	218
7	440	218
8	461	218
9	469	218

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 x 1328434081809871/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464) (-.f64 (/.f64 x n) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (if (<=.f64 x 11335624535895752/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n))))) (if (<=.f64 x 16637914127995510/79228162514264337593543950336) (-.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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))))

Outputs
(if (<=.f64 x 1328434081809871/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464) (-.f64 (/.f64 x n) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (/.f64 (log.f64 x) n)) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (if (<=.f64 x 11335624535895752/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n))))) (if (<=.f64 x 16637914127995510/79228162514264337593543950336) (-.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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))))
(if (<=.f64 x 1328434081809871/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464) (-.f64 (/.f64 x n) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (/.f64 (log.f64 x) n)) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (if (<=.f64 x 1416953066986969/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n))))) (if (<=.f64 x 8318957063997755/39614081257132168796771975168) (-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 4) (pow.f64 n 4))) (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 x 1)) 3)) (.f64 1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (neg.f64 (/.f64 (-.f64 (neg.f64 (log.f64 (+.f64 x 1))) (neg.f64 (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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))))
(if (<=.f64 x 1328434081809871/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464) (-.f64 (/.f64 x n) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (/.f64 (log.f64 x) n)) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (if (<=.f64 x 1416953066986969/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n))))) (if (<=.f64 x 8318957063997755/39614081257132168796771975168) (-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 4) (pow.f64 n 4))) (-.f64 (/.f64 (neg.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (+.f64 x 1))))) n) (/.f64 (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 x 1)) 3)) (.f64 (pow.f64 (log.f64 x) 3) -1/6)) (pow.f64 n 3))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))))
(if (<=.f64 x 1328434081809871/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464) (+.f64 (/.f64 x n) (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) -1/6) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (/.f64 (log.f64 x) n)))) (if (<=.f64 x 1416953066986969/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n))))) (if (<=.f64 x 8318957063997755/39614081257132168796771975168) (+.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 4) (pow.f64 n 4))) (-.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) (/.f64 (+.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 x 1)) 3)) (.f64 1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))))) (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) -1/2) (.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) -1/24))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))))
(if (<=.f64 x 1328434081809871/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464) (+.f64 (/.f64 x n) (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) -1/6) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (/.f64 (log.f64 x) n)))) (if (<=.f64 x 1416953066986969/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n))))) (if (<=.f64 x 8318957063997755/39614081257132168796771975168) (+.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 4) (pow.f64 n 4))) (+.f64 (/.f64 (+.f64 (.f64 (pow.f64 (log.f64 x) 3) -1/6) (.f64 1/6 (pow.f64 (log.f64 (+.f64 x 1)) 3))) (pow.f64 n 3)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)))) (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) -1/2) (.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) -1/24))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))))

end77.0ms (0.5%)

Stop Event

1×

fuel

Compiler

Compiled 288 to 204 computations (29.2% saved)

Iter	Nodes	Cost
0	76	226
1	116	222
2	164	218
3	245	218
4	330	218
5	393	218
6	420	218
7	440	218
8	461	218
9	469	218

Iter	Nodes	Cost
0	76	226
1	116	222
2	164	218
3	245	218
4	330	218
5	393	218
6	420	218
7	440	218
8	461	218
9	469	218

Details

analyze969.0ms (5.8%)

sample8.4s (50.4%)

preprocess31.0ms (0.2%)

simplify22.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0%)

series66.0ms (0.4%)

rewrite71.0ms (0.4%)

simplify55.0ms (0.3%)

prune534.0ms (3.2%)

localize24.0ms (0.1%)

series52.0ms (0.3%)

rewrite55.0ms (0.3%)

simplify87.0ms (0.5%)

prune462.0ms (2.8%)

localize27.0ms (0.2%)

series73.0ms (0.4%)

rewrite53.0ms (0.3%)

simplify99.0ms (0.6%)

prune1.6s (9.6%)

localize37.0ms (0.2%)

series8.0ms (0%)

rewrite42.0ms (0.3%)

simplify87.0ms (0.5%)

prune1.5s (8.8%)

regimes939.0ms (5.6%)

bsearch1.3s (7.9%)

simplify14.0ms (0.1%)

end77.0ms (0.5%)

Profiling

Iter	Nodes	Cost
0	76	226
1	116	222
2	164	218
3	245	218
4	330	218
5	393	218
6	420	218
7	440	218
8	461	218
9	469	218