Details

analyze969.0ms (6.5%)

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)

sample8.9s (59.4%)

Results

2.3s	2762×	body	1024	valid
2.2s	1743×	body	1024	invalid
1.8s	1864×	body	2048	valid
746.0ms	1244×	body	512	valid
740.0ms	997×	body	512	invalid
367.0ms	1808×	body	128	valid
243.0ms	578×	body	256	valid
238.0ms	530×	body	256	invalid
236.0ms	1131×	body	128	invalid
12.0ms	8×	body	2048	invalid

preprocess33.0ms (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)

simplify23.0ms (0.2%)

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

32.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	32.1b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 45 to 33 computations (26.7% saved)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓	0.1b	(pow.f64 x (/.f64 1 n))
✓	1.7b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

series71.0ms (0.5%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
24.0ms	x	@	0	(pow.f64 x (/.f64 1 n))
24.0ms	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)))

rewrite72.0ms (0.5%)

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 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 log1p.f64 (expm1.f64 (pow.f64 x (/.f64 1 n))))))))

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

simplify60.0ms (0.4%)

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

prune521.0ms (3.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	214	5	219
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	215	5	220

Error

0.8b

Counts

220 → 5

Alt Table

Status	Error	Program
	31.7b	(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
	34.4b	(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
	31.8b	(+.f64 (fma.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (neg.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n))))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 1 (/.f64 1 n)) (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n)))))
	23.4b	(+.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))))
▶	22.6b	(-.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)))))

Compiler

Compiled 7274 to 4447 computations (38.9% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.0b	(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
✓	2.2b	(log.f64 (+.f64 1 x))
✓	2.7b	(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))
✓	6.7b	(-.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)))))

series73.0ms (0.5%)

Counts

4 → 50

Calls

21 calls:

Time	Variable		Point	Expression
33.0ms	n	@	0	(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
9.0ms	n	@	0	(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))
7.0ms	n	@	0	(-.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)))))
5.0ms	x	@	-inf	(log.f64 (+.f64 1 x))
4.0ms	x	@	-inf	(-.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)))))

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

241×	`add-sqr-sqrt_binary64`
238×	`pow1_binary64`
235×	`*-un-lft-identity_binary64`
228×	`add-log-exp_binary64`
227×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	73
1	484	71

Stop Event

1×	node limit

Counts

4 → 86

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 1/2 (pow.f64 (log1p.f64 x) 2)) (.f64 n n)) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.f64 (log1p.f64 x) n)) (neg.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n)))) (sqrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log1p.f64 x) n)) (neg.f64 (.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n))) 1 (.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.f64 (log1p.f64 x) n))) (neg.f64 (.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n))) 1 (.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n)) 1)))))) (#(struct:change #<rule 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(pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log1p.f64 x) n))) (sqrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))))) (sqrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.f64 (log1p.f64 x) n)) 3) (pow.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n)) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.f64 (log1p.f64 x) n)) 2) (+.f64 (pow.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n)) 2) (.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.f64 (log1p.f64 x) n)) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.f64 (log1p.f64 x) n)) 2) (pow.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n)) 2)) (+.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.f64 (log1p.f64 x) n)) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))))) 3)))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (.f64 x x))) (log.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 x)))))
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simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

877×	`times-frac_binary64`
519×	`associate-/l*_binary64`
203×	`cancel-sign-sub-inv_binary64`
198×	`fma-def_binary64`
150×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	212	2104
1	686	1942
2	2362	1855

Stop Event

1×	node limit

Counts

136 → 164

Calls

Call 1

Inputs
(.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) (/.f64 x n))
(+.f64 (.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) (+.f64 (/.f64 x n) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))
(+.f64 (.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) (+.f64 (/.f64 x n) (+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))))
(/.f64 (+.f64 (/.f64 1 n) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) x)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (/.f64 1 (.f64 n x)))) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x)))))) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (pow.f64 x 3))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (/.f64 1 (.f64 n x))))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 2)))) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))))) (.f64 1/3 (/.f64 1 n))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 2))))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 n 2))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))))) (.f64 1/3 (/.f64 1 n))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 2)))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 n 2))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))
(-.f64 (+.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 -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 -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 (pow.f64 x 2) (pow.f64 n 2))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 n 2))))
(+.f64 (.f64 11/12 (/.f64 (pow.f64 x 4) (pow.f64 n 2))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 n 2)))))
(+.f64 (.f64 11/12 (/.f64 (pow.f64 x 4) (pow.f64 n 2))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 n 2))) (*.f64 -5/6 (/.f64 (pow.f64 x 5) (pow.f64 n 2))))))
(/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 2))
(+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 2)))
(+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (+.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 (+.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 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2))
(+.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 (+.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 (+.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)))))))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(/.f64 (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 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2))
(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2))
(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2))
(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2))

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

prune425.0ms (2.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	199	6	205
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	200	10	210

Error

0.2b

Counts

210 → 10

Alt Table

Status	Error	Program
	31.7b	(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
	39.3b	(pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))))) 2)
	31.8b	(+.f64 (fma.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (neg.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n))))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 1 (/.f64 1 n)) (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n)))))
	51.2b	(+.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n)))) (sqrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))))
	38.7b	(cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n)))) 3))
	27.7b	(pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))))) 3)
	34.4b	(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
▶	23.0b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2))))
	23.4b	(+.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))))
	39.2b	(/.f64 (+.f64 (/.f64 1 n) (/.f64 (log.f64 x) (*.f64 n n))) x)

Compiler

Compiled 10161 to 6619 computations (34.9% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	7.2b	(cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n)))
✓	15.5b	(cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.f64 (log1p.f64 x) n)))
✓	32.5b	(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2))))
✓	59.7b	(fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2)))

series79.0ms (0.5%)

Counts

4 → 53

Calls

24 calls:

Time	Variable		Point	Expression
33.0ms	x	@	-inf	(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2))))
13.0ms	x	@	inf	(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2))))
4.0ms	x	@	-inf	(fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2)))
4.0ms	x	@	inf	(fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2)))
4.0ms	x	@	0	(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2))))

rewrite43.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	138
1	546	137

Stop Event

1×	node limit

Counts

4 → 69

Calls

Call 1

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

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

simplify269.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

374×	`fma-def_binary64`
263×	`associate-r_binary64`
255×	`*-commutative_binary64`
207×	`associate-+r+_binary64`
206×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	325	20405
1	1118	19193
2	4827	19193

Stop Event

1×	node limit

Counts

122 → 120

Calls

Call 1

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

prune1.3s (8.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	254	5	259
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	256	13	269

Error

0.2b

Counts

269 → 13

Alt Table

Status	Error	Program
	31.7b	(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
	39.3b	(pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))))) 2)
	34.4b	(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
	45.7b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2)))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n)))) 2)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2))))
✓	23.0b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2))))
	45.0b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2) (.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n)))) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2))))
	39.2b	(/.f64 (+.f64 (/.f64 1 n) (/.f64 (log.f64 x) (*.f64 n n))) x)
	45.3b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) (pow.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n)))) (sqrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))))) 2))))
	36.3b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) (pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))))) 2))))
	38.7b	(cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n)))) 3))
	31.8b	(+.f64 (fma.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (neg.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n))))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 1 (/.f64 1 n)) (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n)))))
▶	23.4b	(+.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))))
	36.4b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2)))) (fma.f64 (neg.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n)))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2))))

Compiler

Compiled 60026 to 40170 computations (33.1% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.4b	(-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))
✓	2.4b	(-.f64 (log1p.f64 x) (log.f64 x))
✓	2.6b	(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))
✓	5.5b	(*.f64 (/.f64 -1/6 (pow.f64 n 3)) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))

series41.0ms (0.3%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
11.0ms	n	@	inf	(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))
8.0ms	n	@	0	(*.f64 (/.f64 -1/6 (pow.f64 n 3)) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))
4.0ms	x	@	-inf	(*.f64 (/.f64 -1/6 (pow.f64 n 3)) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))
4.0ms	n	@	-inf	(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))
3.0ms	x	@	inf	(*.f64 (/.f64 -1/6 (pow.f64 n 3)) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))

rewrite50.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

224×	`add-sqr-sqrt_binary64`
222×	`pow1_binary64`
216×	`*-un-lft-identity_binary64`
215×	`add-log-exp_binary64`
215×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	62
1	473	62

Stop Event

1×	node limit

Counts

4 → 130

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 -1/6 (pow.f64 n -3)) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 9) (pow.f64 (log.f64 x) 9)) (.f64 (/.f64 (pow.f64 n 3) -1/6) (+.f64 (pow.f64 (log1p.f64 x) 6) (+.f64 (pow.f64 (log.f64 x) 6) (pow.f64 (.f64 (log1p.f64 x) (log.f64 x)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 6) (pow.f64 (log.f64 x) 6)) (.f64 (/.f64 (pow.f64 n 3) -1/6) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 -1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (neg.f64 (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/6 (-.f64 (pow.f64 (log1p.f64 x) 9) (pow.f64 (log.f64 x) 9))) (.f64 (pow.f64 n 3) (+.f64 (pow.f64 (log1p.f64 x) 6) (+.f64 (pow.f64 (log.f64 x) 6) (pow.f64 (.f64 (log1p.f64 x) (log.f64 x)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 9) (pow.f64 (log.f64 x) 9))) (.f64 (neg.f64 (pow.f64 n 3)) (+.f64 (pow.f64 (log1p.f64 x) 6) (+.f64 (pow.f64 (log.f64 x) 6) (pow.f64 (.f64 (log1p.f64 x) (log.f64 x)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/6 (-.f64 (pow.f64 (log1p.f64 x) 6) (pow.f64 (log.f64 x) 6))) (.f64 (pow.f64 n 3) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 6) (pow.f64 (log.f64 x) 6))) (.f64 (neg.f64 (pow.f64 n 3)) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 x) 9) (pow.f64 (log.f64 x) 9)) -1/6) (.f64 (+.f64 (pow.f64 (log1p.f64 x) 6) (+.f64 (pow.f64 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log1p.f64 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))))))

simplify93.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

379×	`fma-def_binary64`
347×	`associate-+r+_binary64`
292×	`associate-/r*_binary64`
289×	`times-frac_binary64`
279×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	342	3957
1	1118	3680
2	4723	3658

Stop Event

1×	node limit

Counts

202 → 221

Calls

Call 1

Inputs
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 n 3))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 n 3))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 (.f64 -7/24 (/.f64 (pow.f64 x 5) (pow.f64 n 3))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(.f64 -1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (*.f64 (pow.f64 n 3) x)))
(+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (.f64 (pow.f64 n 3) x))) (.f64 -1/6 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))) (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 x)) (+.f64 1 (log.f64 (/.f64 1 x)))) (pow.f64 n 3))))) (pow.f64 x 2))))
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(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (.f64 -2 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)) (+.f64 (/.f64 (.f64 (+.f64 11/12 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (pow.f64 x 4)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (.f64 (+.f64 1 (.f64 -2/3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1/3 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))))) (pow.f64 x 3))) (+.f64 (.f64 2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 4))) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2))))))))))))

Outputs
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(/.f64 -1/6 (/.f64 (pow.f64 n 3) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(/.f64 -1/6 (/.f64 (pow.f64 n 3) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(/.f64 -1/6 (/.f64 (pow.f64 n 3) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(/.f64 -1/6 (/.f64 (pow.f64 n 3) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(/.f64 -1/6 (/.f64 (pow.f64 n 3) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(/.f64 -1/6 (/.f64 (pow.f64 n 3) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(/.f64 -1/6 (/.f64 (pow.f64 n 3) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(/.f64 -1/6 (/.f64 (pow.f64 n 3) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(/.f64 -1/6 (/.f64 (pow.f64 n 3) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(/.f64 -1/6 (/.f64 (pow.f64 n 3) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(/.f64 -1/6 (/.f64 (pow.f64 n 3) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(*.f64 -1/6 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))
(/.f64 -1/6 (/.f64 (pow.f64 n 3) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))
(*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 n 3))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(fma.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 n 3)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
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(fma.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 n 3)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (fma.f64 -7/24 (/.f64 (pow.f64 x 5) (pow.f64 n 3)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(fma.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 n 3)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 -7/24 (/.f64 (pow.f64 x 5) (pow.f64 n 3))))))
(fma.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 n 3)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (/.f64 -7/24 (/.f64 (pow.f64 n 3) (pow.f64 x 5))))))
(.f64 -1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (*.f64 (pow.f64 n 3) x)))
(.f64 -1/6 (/.f64 (.f64 3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (*.f64 x (pow.f64 n 3))))
(/.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) 2) -1/2) (pow.f64 n 3)) x)
(/.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3))) x)
(+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (.f64 (pow.f64 n 3) x))) (.f64 -1/6 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))) (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 x)) (+.f64 1 (log.f64 (/.f64 1 x)))) (pow.f64 n 3))))) (pow.f64 x 2))))
(.f64 -1/6 (+.f64 (/.f64 (.f64 3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (.f64 x (pow.f64 n 3))) (/.f64 (fma.f64 -1/2 (/.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 (neg.f64 (log.f64 x)) (/.f64 (pow.f64 n 3) (+.f64 1 (neg.f64 (log.f64 x)))))))) (.f64 x x))))
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(fma.f64 -1/6 (/.f64 (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3)) (/.f64 (.f64 2 (log.f64 x)) (pow.f64 n 3))) (.f64 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 n 3)) (-.f64 1 (log.f64 x)))) (.f64 x x)) (/.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3))) x))
(+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (.f64 (pow.f64 n 3) x))) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 3)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 x)) (-.f64 (.f64 -2/3 (log.f64 (/.f64 1 x))) 1)) (pow.f64 n 3))) (.f64 2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3)))))) (pow.f64 x 3))) (.f64 -1/6 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))) (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 x)) (+.f64 1 (log.f64 (/.f64 1 x)))) (pow.f64 n 3))))) (pow.f64 x 2)))))
(fma.f64 -1/6 (/.f64 (.f64 3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (.f64 x (pow.f64 n 3))) (.f64 -1/6 (+.f64 (/.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 -1 (/.f64 (neg.f64 (log.f64 x)) (/.f64 (pow.f64 n 3) (fma.f64 -2/3 (neg.f64 (log.f64 x)) -1))) (.f64 2 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 n 3)))))) (pow.f64 x 3)) (/.f64 (fma.f64 -1/2 (/.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 (neg.f64 (log.f64 x)) (/.f64 (pow.f64 n 3) (+.f64 1 (neg.f64 (log.f64 x)))))))) (*.f64 x x)))))
(fma.f64 -1/6 (+.f64 (/.f64 (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3)) (/.f64 (.f64 2 (log.f64 x)) (pow.f64 n 3))) (.f64 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 n 3)) (-.f64 1 (log.f64 x)))) (.f64 x x)) (/.f64 (+.f64 (/.f64 1 (pow.f64 n 3)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3)) 1/3 (-.f64 (/.f64 (.f64 -2 (log.f64 x)) (pow.f64 n 3)) (.f64 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 n 3)) (+.f64 -1 (.f64 (log.f64 x) 2/3)))))) (pow.f64 x 3))) (/.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) 2) -1/2) (pow.f64 n 3)) x))
(fma.f64 -1/6 (+.f64 (/.f64 (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3)) (/.f64 (.f64 2 (log.f64 x)) (pow.f64 n 3))) (.f64 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 n 3)) (-.f64 1 (log.f64 x)))) (.f64 x x)) (/.f64 (+.f64 (/.f64 1 (pow.f64 n 3)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3)) 1/3 (-.f64 (/.f64 (.f64 -2 (log.f64 x)) (pow.f64 n 3)) (.f64 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 n 3)) (fma.f64 (log.f64 x) 2/3 -1))))) (pow.f64 x 3))) (/.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3))) x))
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(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (.f64 -2 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (.f64 (+.f64 1 (.f64 -2/3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1/3 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))))) (pow.f64 x 3))) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2)))))))
(fma.f64 2 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 x x)) (fma.f64 -1 (/.f64 (.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) -3) x) (+.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 (.f64 x x) (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))) (fma.f64 -1 (/.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (fma.f64 -1 (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (fma.f64 (+.f64 1 (.f64 -2/3 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) -1/3)))) (pow.f64 x 3)) (.f64 -1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) (*.f64 x x)))))))
(fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 x x)) (+.f64 (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (.f64 x x)) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 x x)) (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (/.f64 x -3))) (/.f64 (neg.f64 (+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1) (*.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) -1/3))))) (pow.f64 x 3))))
(fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 x x)) (+.f64 (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (.f64 x x)) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 x x)) (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (/.f64 x -3))) (/.f64 (neg.f64 (+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 -1 (+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) -1/3 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1))))))) (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (.f64 -2 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)) (+.f64 (/.f64 (.f64 (+.f64 11/12 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (pow.f64 x 4)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (.f64 (+.f64 1 (.f64 -2/3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1/3 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))))) (pow.f64 x 3))) (+.f64 (.f64 2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 4))) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2))))))))))))
(fma.f64 2 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 x x)) (fma.f64 -1/4 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) (pow.f64 x 4)) (fma.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (pow.f64 x 4)) (fma.f64 -1 (/.f64 (.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) -3) x) (+.f64 (+.f64 (/.f64 (+.f64 11/12 (.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (/.f64 (pow.f64 x 4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 (.f64 x x) (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))) (fma.f64 -1/2 (/.f64 (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (pow.f64 x 4)) (fma.f64 -1 (/.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (fma.f64 -1 (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (fma.f64 (+.f64 1 (.f64 -2/3 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) -1/3)))) (pow.f64 x 3)) (fma.f64 2/3 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (pow.f64 x 4)) (.f64 -1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) (*.f64 x x)))))))))))
(fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 x x)) (fma.f64 -1/4 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (pow.f64 x 4)) (-.f64 (-.f64 (+.f64 (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 x x)) (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (+.f64 (fma.f64 -1/2 (/.f64 (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4)) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (.f64 x x)) (/.f64 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2/3) (pow.f64 x 4))) (/.f64 (+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1) (.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) -1/3)))) (pow.f64 x 3)))) (*.f64 (/.f64 (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 11/12) (pow.f64 x 4)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (/.f64 x -3))) (/.f64 (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1) (pow.f64 x 4)))))
(fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 x x)) (fma.f64 -1/4 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (pow.f64 x 4)) (-.f64 (-.f64 (+.f64 (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 x x)) (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (+.f64 (fma.f64 -1/2 (/.f64 (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4)) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (.f64 x x)) (/.f64 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2/3) (pow.f64 x 4))) (/.f64 (+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 -1 (+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) -1/3 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1)))))) (pow.f64 x 3)))) (*.f64 (/.f64 (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 11/12) (pow.f64 x 4)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (/.f64 x -3))) (/.f64 (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1) (pow.f64 x 4)))))

prune571.0ms (3.8%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	217	4	221
Fresh	1	10	11
Picked	1	0	1
Done	0	1	1
Total	219	15	234

Error

0.1b

Counts

234 → 15

Alt Table

Status	Error	Program
	34.4b	(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
	45.7b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2)))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n)))) 2)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2))))
✓	23.0b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2))))
	45.0b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2) (.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n)))) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2))))
	39.2b	(/.f64 (+.f64 (/.f64 1 n) (/.f64 (log.f64 x) (*.f64 n n))) x)
	45.3b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) (pow.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n)))) (sqrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))))) 2))))
	36.3b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) (pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))))) 2))))
	38.7b	(cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n)))) 3))
	31.7b	(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
	23.4b	(+.f64 (-.f64 (/.f64 (log.f64 (/.f64 (+.f64 1 x) 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))))
	31.8b	(+.f64 (fma.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (neg.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n))))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 1 (/.f64 1 n)) (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n)))))
	23.6b	(+.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.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))))
	23.8b	(+.f64 (-.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.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))))
	39.2b	(+.f64 (-.f64 (/.f64 (+.f64 (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (.f64 (log.f64 x) 1))) 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))))
	36.4b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (/.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)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2)))) (fma.f64 (neg.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n)))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (/.f64 (log.f64 x) n))) 2))))

Compiler

Compiled 15339 to 9659 computations (37% saved)

regimes438.0ms (2.9%)

Accuracy

Total -56.2b remaining (-831.3%)

Threshold costs -56.2b (-831.3%)

Counts

72 → 2

Compiler

Compiled 4095 to 2390 computations (41.6% saved)

bsearch71.0ms (0.5%)

Algorithm

1×	binary-search

Calls

1 calls:

69.0ms

Steps

Iters	Point		Range
52.0	∈ [	13.879970703732345	,	52.68857890497791	]

Compiler

Compiled 294 to 204 computations (30.6% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
10×	`*-commutative_binary64`
10×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	85
1	53	85
2	75	85
3	91	85
4	114	85
5	128	85
6	129	85

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 x 52) (+.f64 (-.f64 (/.f64 (log.f64 (/.f64 (+.f64 1 x) 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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))

Outputs
(if (<=.f64 x 52) (+.f64 (-.f64 (/.f64 (log.f64 (/.f64 (+.f64 1 x) 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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(if (<=.f64 x 52) (+.f64 (-.f64 (/.f64 (log.f64 (/.f64 (+.f64 x 1) 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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(if (<=.f64 x 52) (+.f64 (+.f64 (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1/6 (pow.f64 n 3)))) (.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(if (<=.f64 x 52) (+.f64 (+.f64 (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (.f64 (/.f64 -1/6 (pow.f64 n 3)) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))

end653.0ms (4.4%)

Stop Event

1×

fuel

Compiler

Compiled 1326 to 780 computations (41.2% saved)

Details

analyze969.0ms (6.5%)

sample8.9s (59.4%)

preprocess33.0ms (0.2%)

simplify23.0ms (0.2%)

prune2.0ms (0%)

localize7.0ms (0%)

series71.0ms (0.5%)

rewrite72.0ms (0.5%)

simplify60.0ms (0.4%)

prune521.0ms (3.5%)

localize19.0ms (0.1%)

series73.0ms (0.5%)

rewrite54.0ms (0.4%)

simplify52.0ms (0.3%)

prune425.0ms (2.8%)

localize29.0ms (0.2%)

series79.0ms (0.5%)

rewrite43.0ms (0.3%)

simplify269.0ms (1.8%)

prune1.3s (8.9%)

localize23.0ms (0.2%)

series41.0ms (0.3%)

rewrite50.0ms (0.3%)

simplify93.0ms (0.6%)

prune571.0ms (3.8%)

regimes438.0ms (2.9%)

bsearch71.0ms (0.5%)

simplify5.0ms (0%)

end653.0ms (4.4%)

Profiling