Details

analyze998.0ms (6.3%)

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)

sample8.5s (53.8%)

Results

2.3s	2792×	body	1024	valid
2.0s	1733×	body	1024	invalid
1.6s	1790×	body	2048	valid
792.0ms	983×	body	512	invalid
731.0ms	1278×	body	512	valid
347.0ms	1788×	body	128	valid
236.0ms	608×	body	256	valid
232.0ms	525×	body	256	invalid
212.0ms	1150×	body	128	invalid
5.0ms	4×	body	2048	invalid

preprocess31.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	33	38
2	76	38
3	195	38
4	656	38
5	2206	38
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify27.0ms (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)))

prune3.0ms (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

33.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	33.0b	(-.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
✓	0.0b	(pow.f64 x (/.f64 1 n))
✓	0.0b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓	1.6b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

series72.0ms (0.5%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	(pow.f64 x (/.f64 1 n))
23.0ms	x	@	-inf	(pow.f64 x (/.f64 1 n))
8.0ms	x	@	inf	(pow.f64 x (/.f64 1 n))
2.0ms	x	@	-inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
2.0ms	x	@	inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

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

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

703×	`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	2497
1	520	2313
2	1779	2197

Stop Event

1×	node limit

Counts

217 → 220

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)))))
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))))))
(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))))))

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

prune229.0ms (1.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	216	4	220
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	217	4	221

Error

0.6b

Counts

221 → 4

Alt Table

Status	Error	Program
▶	23.7b	(-.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)))))
	32.6b	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
	37.0b	(+.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))))
	42.8b	(.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))

Compiler

Compiled 7249 to 4425 computations (39% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
✓	2.6b	(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))
✓	2.9b	(log.f64 (+.f64 1 x))
✓	7.9b	(-.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)))))

series71.0ms (0.4%)

Counts

4 → 50

Calls

21 calls:

Time	Variable		Point	Expression
31.0ms	n	@	0	(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
10.0ms	n	@	0	(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))
9.0ms	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	@	0	(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
3.0ms	n	@	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)))))

rewrite56.0ms (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)))))
(log.f64 (+.f64 1 x))
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))
(/.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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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 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 expm1.f64 (log1p.f64 (log1p.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2))) 2) (cbrt.f64 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2))) (sqrt.f64 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 n n) (pow.f64 (log1p.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (log1p.f64 x) 2)) (pow.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2))) 2) (cbrt.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2))) (sqrt.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 n n) (pow.f64 (log.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 x (log.f64 x)) (pow.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2))))))))

simplify51.0ms (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`
151×	`+-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))))
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 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)))))))
(/.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)))
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(+.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 (.f64 x x) (+.f64 (.f64 (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (.f64 n n))) x) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 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 (/.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))))
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(+.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)))))
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(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 (/.f64 -1/2 (*.f64 x 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 (/.f64 (/.f64 1 (.f64 n n)) (.f64 x x)) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 x (.f64 x (.f64 n n))))) (fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 x (.f64 n n))) (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (.f64 n n))))
(+.f64 (/.f64 (/.f64 1 (.f64 n n)) (.f64 x x)) (+.f64 (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 n n)) (+.f64 (/.f64 2 x) (/.f64 -1 (.f64 x x)))) (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (.f64 n n))))
(+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 3))) (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 (pow.f64 n 2) x)))))))
(+.f64 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) (.f64 n n)) (fma.f64 -1 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 (.f64 n n) (.f64 x x))) (+.f64 (/.f64 (/.f64 1 (.f64 n n)) (.f64 x x)) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (.f64 n n)) (.f64 -2/3 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 n n)))) (pow.f64 x 3)) (.f64 2 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 x (.f64 n n))))))))
(+.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (.f64 n n)) (+.f64 (-.f64 (.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 x (.f64 n n)))) (/.f64 (fma.f64 -2/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 n n)) (/.f64 1 (.f64 n n))) (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1 (.f64 n n)) (.f64 x x)) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 x (.f64 x (*.f64 n n)))))))
(+.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (.f64 n n)) (+.f64 (-.f64 (/.f64 (/.f64 1 (.f64 n n)) (.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))) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 n n)) (+.f64 (/.f64 2 x) (/.f64 -1 (.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))

prune286.0ms (1.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	199	6	205
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	199	10	209

Error

0.1b

Counts

209 → 10

Alt Table

Status	Error	Program
	39.1b	(+.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)))))
	50.1b	(/.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))))))
	37.0b	(+.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))))
	50.5b	(+.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))))
	40.3b	(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)
▶	28.0b	(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)
	35.5b	(/.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))))
✓	23.7b	(-.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)))))
	32.6b	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
	42.8b	(.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))

Compiler

Compiled 10204 to 6635 computations (35% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.5b	(*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2))
✓	4.4b	(-.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)))
✓	7.7b	(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))))
✓	13.1b	(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)))))

series29.0ms (0.2%)

Counts

4 → 76

Calls

24 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(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)))))
5.0ms	x	@	inf	(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)))))
5.0ms	x	@	-inf	(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)))))
2.0ms	x	@	inf	(-.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)))
1.0ms	n	@	0	(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)))))

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

199×	`add-sqr-sqrt_binary64`
194×	`pow1_binary64`
190×	`*-un-lft-identity_binary64`
188×	`add-log-exp_binary64`
188×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	131
1	407	113

Stop Event

1×	node limit

Counts

4 → 116

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (-.f64 (/.f64 (log1p.f64 x) n) 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simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

295×	`cancel-sign-sub-inv_binary64`
250×	`fma-def_binary64`
183×	`fma-neg_binary64`
166×	`+-commutative_binary64`
150×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	3888
1	874	3632
2	3111	3438

Stop Event

1×	node limit

Counts

192 → 205

Calls

Call 1

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

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

prune294.0ms (1.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	203	2	205
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	204	11	215

Error

0.1b

Counts

215 → 11

Alt Table

Status	Error	Program
	39.1b	(+.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)))))
	50.1b	(/.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))))))
	43.4b	(pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (+.f64 (/.f64 (/.f64 1 x) n) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (/.f64 -1/2 (.f64 x (.f64 x n))))))) 3)
✓	23.7b	(-.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)))))
	37.0b	(+.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))))
	50.5b	(+.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))))
	40.3b	(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)
▶	28.1b	(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))))) 2))) 3)
	35.5b	(/.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))))
	32.6b	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
	42.8b	(.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))

Compiler

Compiled 10771 to 6295 computations (41.6% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.4b	(-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n)))
✓	7.7b	(fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))))
✓	13.1b	(cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n)))))
✓	13.1b	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))))) 2)))

series23.0ms (0.1%)

Counts

4 → 56

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))))) 2)))
4.0ms	x	@	inf	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))))) 2)))
1.0ms	x	@	0	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))))) 2)))
1.0ms	x	@	-inf	(cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n)))))
1.0ms	x	@	0	(cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n)))))

rewrite94.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

282×	`expm1-udef_binary64`
282×	`log1p-udef_binary64`
169×	`add-sqr-sqrt_binary64`
167×	`pow1_binary64`
163×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	144
1	384	144
2	4357	144

Stop Event

1×	node limit

Counts

4 → 117

Calls

Call 1

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

Outputs
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simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

702×	`times-frac_binary64`
271×	`cancel-sign-sub-inv_binary64`
210×	`fma-def_binary64`
160×	`fma-neg_binary64`
128×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	225	4108
1	748	3825
2	2606	3718

Stop Event

1×	node limit

Counts

173 → 158

Calls

Call 1

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

Outputs
(.f64 (cbrt.f64 -1) (pow.f64 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) 1/3))
(.f64 (cbrt.f64 -1) (cbrt.f64 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))))
(.f64 (cbrt.f64 -1) (cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (/.f64 (log.f64 x) n))))
(+.f64 (.f64 (cbrt.f64 -1) (pow.f64 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) 1/3)) (.f64 1/3 (.f64 (/.f64 x n) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) 2)) 1/9)))))
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(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n)))
(+.f64 (/.f64 (log1p.f64 x) n) (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) -1/2) (/.f64 (log.f64 x) n)))
(+.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) -1/2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(fma.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n)))
(+.f64 (/.f64 (log1p.f64 x) n) (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) -1/2) (/.f64 (log.f64 x) n)))
(+.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) -1/2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(fma.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n)))
(+.f64 (/.f64 (log1p.f64 x) n) (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) -1/2) (/.f64 (log.f64 x) n)))
(+.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) -1/2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(fma.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))

prune494.0ms (3.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	284	1	285
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	285	11	296

Error

0.1b

Counts

296 → 11

Alt Table

Status	Error	Program
	39.1b	(+.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)))))
	28.3b	(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (-.f64 (/.f64 (log1p.f64 x) n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (fma.f64 (log1p.f64 x) (/.f64 1 n) (neg.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n)))))) 2))) 3)
	50.1b	(/.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))))))
	43.4b	(pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (+.f64 (/.f64 (/.f64 1 x) n) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (/.f64 -1/2 (.f64 x (.f64 x n))))))) 3)
✓	23.7b	(-.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)))))
	37.0b	(+.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))))
	50.5b	(+.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))))
	40.3b	(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)
	35.5b	(/.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))))
	32.6b	(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
	42.8b	(.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))

Compiler

Compiled 21672 to 11383 computations (47.5% saved)

regimes2.0s (12.4%)

Accuracy

Total 7.6b remaining (97.1%)

Threshold costs 0b (0%)

Counts

205 → 4

Compiler

Compiled 6830 to 3611 computations (47.1% saved)

bsearch1.8s (11.5%)

Algorithm

3×	binary-search

Calls

3 calls:

905.0ms	x
812.0ms	x
98.0ms	x

Steps

Iters	Point		Range
100000000.0	∈ [	1208.7720745839772	,	101790380.05248092	]
8.5e-251	∈ [	8.453134772895969e-251	,	3.6446942521448714e-247	]
2.2e-258	∈ [	8.274977957094854e-259	,	2.2753665532423965e-258	]

Compiler

Compiled 1064 to 723 computations (32% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`cancel-sign-sub-inv_binary64`
14×	`distribute-rgt-neg-in_binary64`
13×	`+-commutative_binary64`
11×	`sub-neg_binary64`
11×	`neg-sub0_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	137
1	63	133
2	80	125
3	108	125
4	140	125
5	165	125
6	174	125
7	178	125

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 x 4760567678969707/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)) (if (<=.f64 x 5481571673160589/64489078507771636517619602650941968569195230229018740494135828738607654120693952572560700181598777819174120482575333090683880317322105168121403683894401803821824546386597300313565859091360649542605497181178123584490726109955024626323046496431523007383976877550993408) (*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))) (if (<=.f64 x 100000000) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))))

Outputs
(if (<=.f64 x 4760567678969707/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n)) (if (<=.f64 x 5481571673160589/64489078507771636517619602650941968569195230229018740494135828738607654120693952572560700181598777819174120482575333090683880317322105168121403683894401803821824546386597300313565859091360649542605497181178123584490726109955024626323046496431523007383976877550993408) (.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (.f64 (/.f64 1 n) 3))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))) (if (<=.f64 x 100000000) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))))
(if (<=.f64 x 4760567678969707/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (neg.f64 (/.f64 (-.f64 (neg.f64 (log.f64 (+.f64 x 1))) (neg.f64 (log.f64 x))) n)) (if (<=.f64 x 5481571673160589/64489078507771636517619602650941968569195230229018740494135828738607654120693952572560700181598777819174120482575333090683880317322105168121403683894401803821824546386597300313565859091360649542605497181178123584490726109955024626323046496431523007383976877550993408) (.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (.f64 3 (/.f64 1 n)))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))) (if (<=.f64 x 100000000) (neg.f64 (/.f64 (-.f64 (neg.f64 (log.f64 (+.f64 x 1))) (neg.f64 (log.f64 x))) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))))
(if (<=.f64 x 4760567678969707/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (neg.f64 (+.f64 (neg.f64 (log.f64 (+.f64 x 1))) (log.f64 x))) n) (if (<=.f64 x 5481571673160589/64489078507771636517619602650941968569195230229018740494135828738607654120693952572560700181598777819174120482575333090683880317322105168121403683894401803821824546386597300313565859091360649542605497181178123584490726109955024626323046496431523007383976877550993408) (.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (.f64 3 (/.f64 1 n)))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))) (if (<=.f64 x 100000000) (/.f64 (neg.f64 (+.f64 (neg.f64 (log.f64 (+.f64 x 1))) (log.f64 x))) n) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))))
(if (<=.f64 x 4760567678969707/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) (if (<=.f64 x 5481571673160589/64489078507771636517619602650941968569195230229018740494135828738607654120693952572560700181598777819174120482575333090683880317322105168121403683894401803821824546386597300313565859091360649542605497181178123584490726109955024626323046496431523007383976877550993408) (.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (.f64 3 (/.f64 1 n)))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))) (if (<=.f64 x 100000000) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))))

end348.0ms (2.2%)

Stop Event

1×

fuel

Compiler

Compiled 746 to 467 computations (37.4% saved)

Details

analyze998.0ms (6.3%)

sample8.5s (53.8%)

preprocess31.0ms (0.2%)

simplify27.0ms (0.2%)

prune3.0ms (0%)

localize7.0ms (0%)

series72.0ms (0.5%)

rewrite71.0ms (0.4%)

simplify58.0ms (0.4%)

prune229.0ms (1.4%)

localize20.0ms (0.1%)

series71.0ms (0.4%)

rewrite56.0ms (0.4%)

simplify51.0ms (0.3%)

prune286.0ms (1.8%)

localize20.0ms (0.1%)

series29.0ms (0.2%)

rewrite58.0ms (0.4%)

simplify92.0ms (0.6%)

prune294.0ms (1.9%)

localize18.0ms (0.1%)

series23.0ms (0.1%)

rewrite94.0ms (0.6%)

simplify75.0ms (0.5%)

prune494.0ms (3.1%)

regimes2.0s (12.4%)

bsearch1.8s (11.5%)

simplify8.0ms (0.1%)

end348.0ms (2.2%)

Profiling