Details

analyze598.0ms (2%)

Algorithm

1×

Search

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

Compiler

Compiled 16 to 12 computations (25% saved)

sample12.9s (43.6%)

Results

3.8s	2833×	body	1024	valid
2.3s	1749×	body	2048	valid
2.1s	1494×	body	1024	invalid
1.0s	1251×	body	512	valid
999.0ms	794×	body	256	infinite
719.0ms	2423×	body	256	valid
668.0ms	723×	body	512	invalid
468.0ms	1347×	body	256	invalid
343.0ms	222×	body	1024	infinite
289.0ms	350×	body	256	unsamplable
175.0ms	236×	body	512	infinite
57.0ms	6×	body	2048	invalid

Bogosity

preprocess65.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify54.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

30.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.3b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.6b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

series9.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite80.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	207	17
2	2853	17

Stop Event

1×	node limit

Counts

1 → 115

Calls

Call 1

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

Outputs
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Outputs

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

simplify81.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

596×	`fma-def_binary64`
554×	`times-frac_binary64`
442×	`associate-/l*_binary64`
314×	`associate-+l+_binary64`
306×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	1366
1	470	1293
2	1647	1207

Stop Event

1×	node limit

Counts

139 → 154

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)))))

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

eval111.0ms (0.4%)

Compiler: Compiled 5229 to 3066 computations (41.4% saved)

prune40.0ms (0.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	139	15	154
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	140	15	155

Error

0.6b

Counts

155 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	30.2b	(exp.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
	26.2b	(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (+.f64 (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (/.f64 1/6 (/.f64 (pow.f64 n 3) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))) (+.f64 (.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))) (.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) -1/24))))
	23.3b	(-.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)))))
	30.0b	(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
▶	16.3b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	34.4b	(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
▶	30.0b	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
	26.8b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
▶	17.0b	(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
▶	30.0b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
	24.6b	(+.f64 (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 (pow.f64 n 3) -1/6))) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))
	44.7b	(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
	35.9b	(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n)) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x))))
	50.1b	(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
▶	44.7b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))

Compiler

Compiled 762 to 506 computations (33.6% saved)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓	2.3b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 20 to 6 computations (70% saved)

series54.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
40.0ms	n	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
10.0ms	n	@	inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
1.0ms	n	@	-inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
1.0ms	x	@	inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
0.0ms	x	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

rewrite92.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

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

Outputs

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

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

simplify54.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

603×	`distribute-neg-frac_binary64`
461×	`fma-def_binary64`
457×	`associate-/r*_binary64`
376×	`distribute-rgt-neg-in_binary64`
335×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	604
1	174	594
2	459	590
3	1339	563
4	5015	557

Stop Event

1×	node limit

Counts

104 → 101

Calls

Call 1

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

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

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (log.f64 x) n)
✓	2.9b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))

Compiler

Compiled 23 to 8 computations (65.2% saved)

series80.0ms (0.3%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
58.0ms	x	@	0	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
11.0ms	x	@	-inf	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
7.0ms	x	@	inf	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
1.0ms	n	@	inf	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
0.0ms	n	@	-inf	(/.f64 (log.f64 x) n)

rewrite67.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`pow1_binary64`
777×	`add-log-exp_binary64`
777×	`log1p-expm1-u_binary64`
777×	`expm1-log1p-u_binary64`
761×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	161	16
2	2057	16

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

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

simplify54.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

827×	`associate-/l*_binary64`
564×	`associate-/r*_binary64`
537×	`fma-def_binary64`
525×	`associate-r_binary64`
450×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	450
1	115	444
2	292	368
3	1107	336

Stop Event

1×	node limit

Counts

86 → 76

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (log1p.f64 x) n)
✓	1.6b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))

Compiler

Compiled 42 to 20 computations (52.4% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite97.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`prod-diff_binary64`
511×	`log-prod_binary64`
274×	`pow2_binary64`
259×	`fma-def_binary64`
229×	`pow-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	232	23
2	3170	23

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

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

Outputs

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

simplify103.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

683×	`fma-def_binary64`
596×	`times-frac_binary64`
482×	`associate-/l*_binary64`
376×	`associate-/r*_binary64`
299×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	1755
1	573	1658
2	1964	1561

Stop Event

1×	node limit

Counts

163 → 178

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

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

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
✓	0.0b	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
	0.2b	(/.f64 (log1p.f64 x) n)
✓	1.6b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 62 to 28 computations (54.8% saved)

series92.0ms (0.3%)

Counts

3 → 40

Calls

18 calls:

Time	Variable		Point	Expression
17.0ms	x	@	inf	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
15.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
13.0ms	n	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
12.0ms	x	@	inf	(cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
8.0ms	n	@	inf	(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)

rewrite305.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`log-prod_binary64`
444×	`prod-diff_binary64`
314×	`pow2_binary64`
262×	`fma-def_binary64`
232×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	278	53
2	3304	53

Stop Event

1×	node limit

Counts

3 → 269

Calls

Call 1

Inputs

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

(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)

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

Outputs

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simplify220.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

680×	`times-frac_binary64`
529×	`associate-/l*_binary64`
528×	`distribute-rgt-in_binary64`
502×	`distribute-lft-in_binary64`
269×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	3614
1	794	3427
2	2943	3246

Stop Event

1×	node limit

Counts

309 → 209

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

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

localize41.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (log.f64 x) 2)
✓	1.6b	(/.f64 (pow.f64 (log1p.f64 x) 2) n)
✓	2.3b	(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))
	2.3b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 100 to 48 computations (52% saved)

series19.0ms (0.1%)

Counts

3 → 56

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))
2.0ms	n	@	0	(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))
2.0ms	x	@	inf	(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))
2.0ms	n	@	-inf	(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))
2.0ms	n	@	inf	(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))

rewrite168.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`log-prod_binary64`
395×	`fma-def_binary64`
311×	`pow2_binary64`
238×	`fma-neg_binary64`
214×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	247	32
2	3509	32

Stop Event

1×	node limit

Counts

3 → 219

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) n) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) (fma.f64 (neg.f64 (/.f64 1 n)) (pow.f64 (log.f64 x) 2) (/.f64 (pow.f64 (log.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) (fma.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) n) 1 (/.f64 (pow.f64 (log.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 x) 2) n))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) 4)) (/.f64 (pow.f64 (log.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) (+.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) n) (/.f64 (pow.f64 (log1p.f64 x) 2) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) 2)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n)) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) n) (*.f64 n (pow.f64 (log.f64 x) 2))) (pow.f64 n -2))))) (#(struct:change #<rule egg-rr> (2) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (log1p.f64 x) 2) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 x) (*.f64 (log1p.f64 x) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 x) 2) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (log1p.f64 x) 2) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 n)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 n)) 4)) (cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 x) (sqrt.f64 n)) (/.f64 (log1p.f64 x) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 n) -2) (/.f64 (pow.f64 (log1p.f64 x) 2) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n -1/2) (/.f64 (pow.f64 (log1p.f64 x) 2) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 x) 1) (/.f64 (log1p.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4) 1) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 n)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 n)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (pow.f64 (log1p.f64 x) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 n (pow.f64 (log1p.f64 x) -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 n)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 n)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (log.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (pow.f64 (log.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (cbrt.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (cbrt.f64 (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 3) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 x))) 1))))))

simplify115.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

583×	`fma-neg_binary64`
535×	`unsub-neg_binary64`
491×	`associate-+l+_binary64`
462×	`cancel-sign-sub-inv_binary64`
416×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	1426
1	356	1362
2	1168	1288
3	4706	1189

Stop Event

1×	node limit

Counts

275 → 269

Calls

Call 1

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

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

eval795.0ms (2.7%)

Compiler: Compiled 29622 to 16503 computations (44.3% saved)

prune395.0ms (1.3%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	932	24	956
Fresh	8	2	10
Picked	1	0	1
Done	3	1	4
Total	944	27	971

Error

0.0b

Counts

971 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	40.7b	(/.f64 (/.f64 1 n) x)
	40.7b	(/.f64 (/.f64 1 x) n)
	16.4b	(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
	44.6b	(/.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 2)) (+.f64 1 (pow.f64 x (/.f64 1 n))))
▶	16.3b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	41.5b	(/.f64 (-.f64 x (log.f64 x)) n)
	35.5b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 x n)))
	41.5b	(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
	16.6b	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	26.2b	(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (+.f64 (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (/.f64 1/6 (/.f64 (pow.f64 n 3) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))) (+.f64 (.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))) (.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) -1/24))))
	16.4b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n)
	41.4b	(.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x)))
	16.4b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
	16.5b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
✓	16.3b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	23.5b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
	16.6b	(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	52.1b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 3)
▶	16.7b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
	16.6b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n)))
	41.6b	(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 n) x))
	41.7b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	35.6b	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
▶	41.2b	(/.f64 1 (*.f64 n x))
▶	26.8b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
▶	41.3b	(/.f64 (neg.f64 (log.f64 x)) n)
	44.7b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)

Compiler

Compiled 781 to 530 computations (32.1% saved)

localize13.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	2.3b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

650×	`cancel-sign-sub-inv_binary64`
634×	`fma-neg_binary64`
527×	`distribute-neg-frac_binary64`
382×	`associate-/r*_binary64`
376×	`associate-/r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	414
1	123	410
2	308	406
3	876	382
4	3564	370

Stop Event

1×	node limit

Counts

64 → 57

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 1 (*.f64 n x))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series4.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite64.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`pow1_binary64`
521×	`add-sqr-sqrt_binary64`
501×	`add-log-exp_binary64`
501×	`log1p-expm1-u_binary64`
501×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	119	7
2	1416	7

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

23 → 23

Calls

Call 1

Inputs

Outputs

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (neg.f64 (log.f64 x)) n)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite220.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify185.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

766×	`fma-neg_binary64`
705×	`div-sub_binary64`
639×	`associate--l+_binary64`
488×	`distribute-rgt-in_binary64`
453×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	192
1	36	192
2	62	192
3	111	192
4	232	192
5	618	192
6	2041	192
7	3615	192
8	4088	192
9	4466	192
10	5047	192
11	5667	192

Stop Event

1×	node limit

Counts

59 → 38

Calls

Call 1

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

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

localize25.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (log.f64 x) n)
✓	2.8b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))

Compiler

Compiled 27 to 7 computations (74.1% saved)

series23.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
9.0ms	x	@	inf	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
1.0ms	n	@	inf	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
1.0ms	x	@	0	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
1.0ms	n	@	-inf	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))

rewrite130.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`pow1_binary64`
881×	`add-log-exp_binary64`
881×	`log1p-expm1-u_binary64`
881×	`expm1-log1p-u_binary64`
861×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	165	13
2	2329	13

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))

Outputs

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

simplify78.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

565×	`associate-*l/_binary64`
563×	`associate-r_binary64`
554×	`fma-def_binary64`
534×	`div-sub_binary64`
516×	`associate-*r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	472
1	121	472
2	305	472
3	1303	456
4	6699	456

Stop Event

1×	node limit

Counts

62 → 50

Calls

Call 1

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

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

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓	0.3b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
✓	0.8b	(cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	2.3b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 39 to 10 computations (74.4% saved)

series36.0ms (0.1%)

Counts

2 → 8

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
6.0ms	x	@	0	(cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
4.0ms	x	@	inf	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
3.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
2.0ms	n	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)

rewrite193.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

576×	`prod-diff_binary64`
485×	`log-prod_binary64`
305×	`pow-prod-down_binary64`
257×	`pow2_binary64`
201×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	222	24
2	2786	24

Stop Event

1×	node limit

Counts

2 → 235

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)

Outputs

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simplify153.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-def_binary64`
335×	`distribute-rgt-in_binary64`
333×	`distribute-lft-in_binary64`
321×	`unswap-sqr_binary64`
282×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	158	1952
1	510	1905
2	1930	1874
3	6864	1871

Stop Event

1×	node limit

Counts

243 → 251

Calls

Call 1

Inputs
(.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 x)) n) 1/3) (cbrt.f64 -1))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))) (.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 x)) n) 1/3) (cbrt.f64 -1)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 n 2) 1) (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 x)) n) 1/3) (cbrt.f64 -1))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 n 2) 1) (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 n)) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 5))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 n 2) 1) (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 x)) n) 1/3) (cbrt.f64 -1)))))
(.f64 -1 (.f64 (/.f64 (log.f64 x) n) (pow.f64 1 1/3)))
(+.f64 (.f64 -1 (.f64 (/.f64 (log.f64 x) n) (pow.f64 1 1/3))) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) (pow.f64 n 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) (pow.f64 n 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x))
(+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 x)) n) 1/3) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 14) (pow.f64 (log.f64 x) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 n 1) (log.f64 x)) 1/3) (/.f64 (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1))))) (cbrt.f64 -1))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (/.f64 (log.f64 x) n) (pow.f64 1 1/3))) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) (pow.f64 n 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) (pow.f64 n 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)))
(+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 x)) n) 1/3) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 14) (pow.f64 (log.f64 x) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 n 1) (log.f64 x)) 1/3) (/.f64 (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1))))) (cbrt.f64 -1))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (/.f64 (log.f64 x) n) (pow.f64 1 1/3))) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) (pow.f64 n 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) (pow.f64 n 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 5))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 14) (pow.f64 (log.f64 x) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 n 1) (log.f64 x)) 1/3) (/.f64 (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/3 (/.f64 1 n)) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 5))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) (.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 x)) n) 1/3) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 n (pow.f64 (log.f64 x) 8))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 n 1) (log.f64 x)) 1/3) (/.f64 (-.f64 (.f64 1/3 (/.f64 1 n)) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 5))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (cbrt.f64 -1))))) (cbrt.f64 -1)))))) (pow.f64 x 3)))))

Outputs
(.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 x)) n) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (cbrt.f64 -1))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))) (.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 x)) n) 1/3) (cbrt.f64 -1)))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/18)) (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (cbrt.f64 -1)))
(fma.f64 1/3 (.f64 x (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (cbrt.f64 -1)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 x (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) (pow.f64 n 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) (pow.f64 n 7)) 1/18)))) (.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (cbrt.f64 -1)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 n 2) 1) (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 x)) n) 1/3) (cbrt.f64 -1))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/18)) (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 (.f64 n n) (pow.f64 (log.f64 x) 2))) (/.f64 (.f64 (.f64 x x) (+.f64 (/.f64 1/2 n) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 x) (pow.f64 n 17))) 1/18) (pow.f64 (/.f64 1 (.f64 (log.f64 x) (pow.f64 n 17))) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (cbrt.f64 -1))))
(fma.f64 1/3 (.f64 x (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (cbrt.f64 -1) (.f64 (.f64 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (/.f64 1/2 n))) (.f64 -1/3 (cbrt.f64 (/.f64 (.f64 n n) (pow.f64 (log.f64 x) 2)))))))
(fma.f64 (cbrt.f64 (.f64 n (/.f64 n (pow.f64 (log.f64 x) 2)))) (.f64 -1/3 (.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 -1) 2) x)) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (/.f64 1/2 n)))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 x (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) (pow.f64 n 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) (pow.f64 n 7)) 1/18)))) (*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (cbrt.f64 -1))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 n 2) 1) (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 n)) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 5))) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 n 2) 1) (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 x)) n) 1/3) (cbrt.f64 -1)))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/18)) (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (.f64 n n) (pow.f64 (log.f64 x) 2))) (/.f64 (-.f64 (/.f64 1/3 n) (fma.f64 -2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 5))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 5))) 1/18)) (.f64 (+.f64 (/.f64 1/2 n) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 x) (pow.f64 n 17))) 1/18) (pow.f64 (/.f64 1 (.f64 (log.f64 x) (pow.f64 n 17))) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (.f64 1/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2)))))))) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3)))) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 (.f64 n n) (pow.f64 (log.f64 x) 2))) (/.f64 (.f64 (.f64 x x) (+.f64 (/.f64 1/2 n) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 x) (pow.f64 n 17))) 1/18) (pow.f64 (/.f64 1 (.f64 (log.f64 x) (pow.f64 n 17))) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))) (pow.f64 (cbrt.f64 -1) 2))) (.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (cbrt.f64 -1)))))
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(fma.f64 x (.f64 x (fma.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (.f64 (cbrt.f64 -1) (fma.f64 -2/3 (.f64 (/.f64 (cbrt.f64 (/.f64 n (log.f64 x))) (cbrt.f64 -1)) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (/.f64 1/2 n))) (.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 14)) (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 14)) (pow.f64 (log.f64 x) 4)) 1/18)))))) (fma.f64 -1/3 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (/.f64 1/2 n)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (.f64 (.f64 2/9 (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18)) (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18)))))) (-.f64 (fma.f64 (pow.f64 x 3) (fma.f64 1/3 (fma.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) (pow.f64 n 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) (pow.f64 n 7)) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 -2/3 (.f64 (/.f64 (cbrt.f64 (/.f64 n (log.f64 x))) (cbrt.f64 -1)) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (/.f64 1/2 n))) (.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 14)) (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 14)) (pow.f64 (log.f64 x) 4)) 1/18)))))) (-.f64 (/.f64 1/3 n) (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 4)) (pow.f64 (log.f64 x) 5)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 4)) (pow.f64 (log.f64 x) 5)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (.f64 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (/.f64 1/2 n)) -2/3) (/.f64 (.f64 1/27 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) (pow.f64 n 7)))) (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 (cbrt.f64 -1) (.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 n (log.f64 x))) (-.f64 (/.f64 (-.f64 (/.f64 1/3 n) (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 4)) (pow.f64 (log.f64 x) 5)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 4)) (pow.f64 (log.f64 x) 5)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (.f64 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (/.f64 1/2 n)) -2/3))) (cbrt.f64 -1)) (/.f64 (.f64 1/27 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) (pow.f64 n 7)))) -1))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (/.f64 1/2 n))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 (/.f64 1 n) (pow.f64 (log.f64 x) 8)) 1/18) (pow.f64 (/.f64 (/.f64 1 n) (pow.f64 (log.f64 x) 8)) 1/18)))))) (.f64 (.f64 -2/9 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 4)) (pow.f64 (log.f64 x) 5)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 4)) (pow.f64 (log.f64 x) 5)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18) (pow.f64 (/.f64 (/.f64 1 (log.f64 x)) (pow.f64 n 17)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (/.f64 1/2 n))))) (.f64 x (.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 13)) 1/18) (*.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 13)) 1/18) (cbrt.f64 (neg.f64 (cbrt.f64 -1))))))) (/.f64 (log.f64 x) n)))

eval249.0ms (0.8%)

Compiler: Compiled 15308 to 7051 computations (53.9% saved)

prune140.0ms (0.5%)

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	596	11	607
Fresh	4	17	21
Picked	1	0	1
Done	3	2	5
Total	604	30	634

Error

0.0b

Counts

634 → 30

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.3b	(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))
▶	40.7b	(/.f64 (/.f64 1 n) x)
	40.7b	(/.f64 (/.f64 1 x) n)
	40.8b	(*.f64 (/.f64 1 n) (/.f64 1 x))
	41.5b	(/.f64 (-.f64 x (log.f64 x)) n)
	35.5b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 x n)))
	41.5b	(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
▶	16.6b	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	16.6b	(*.f64 (/.f64 1 n) (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
	26.2b	(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (+.f64 (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (/.f64 1/6 (/.f64 (pow.f64 n 3) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))) (+.f64 (.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))) (.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) -1/24))))
	16.4b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n)
▶	41.4b	(.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x)))
	49.3b	(*.f64 (/.f64 -1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n)))
	42.3b	(-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1)
	16.6b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (/.f64 n (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
	16.5b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	41.6b	(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 x)) n)) 3)
	52.1b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 3)
	41.3b	(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
	44.4b	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
▶	16.4b	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
	41.6b	(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 n) x))
	41.7b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	35.6b	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
✓	41.2b	(/.f64 1 (*.f64 n x))
	44.6b	(/.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 2)) (+.f64 1 (pow.f64 x (/.f64 1 n))))
	23.5b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
✓	41.3b	(/.f64 (neg.f64 (log.f64 x)) n)
	16.7b	(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) 3)
	44.7b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)

Compiler

Compiled 818 to 576 computations (29.6% saved)

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 30 to 9 computations (70% saved)

series10.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite110.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

469×	`log-prod_binary64`
412×	`prod-diff_binary64`
364×	`exp-prod_binary64`
283×	`pow-prod-down_binary64`
246×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	192	22
2	2643	22

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

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

Outputs

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

simplify95.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

776×	`fma-neg_binary64`
558×	`fma-def_binary64`
472×	`distribute-rgt-in_binary64`
443×	`distribute-lft-in_binary64`
274×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	859
1	345	834
2	1100	793
3	4237	761

Stop Event

1×	node limit

Counts

165 → 155

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 n) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`pow1_binary64`
570×	`add-log-exp_binary64`
570×	`log1p-expm1-u_binary64`
570×	`expm1-log1p-u_binary64`
556×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1619	7

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	11	168
2	13	168

Stop Event

1×

saturated

Counts

54 → 31

Calls

Call 1

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

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

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) 1) (/.f64 1/2 x))
	0.2b	(/.f64 (/.f64 1 n) x)
✓	0.5b	(/.f64 1/3 (*.f64 x x))
✓	0.8b	(.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x)))

Compiler

Compiled 61 to 37 computations (39.3% saved)

series9.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	n	@	0	(.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x)))
1.0ms	n	@	inf	(.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x)))
1.0ms	x	@	0	(.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x)))
1.0ms	x	@	-inf	(.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x)))
1.0ms	x	@	0	(/.f64 1/3 (*.f64 x x))

rewrite112.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

851×	`prod-diff_binary64`
434×	`fma-def_binary64`
278×	`log1p-udef_binary64`
277×	`expm1-udef_binary64`
238×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	327	41
2	4728	41

Stop Event

1×	node limit

Counts

3 → 226

Calls

Call 1

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

Outputs

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simplify73.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

608×	`fma-def_binary64`
572×	`associate-/l*_binary64`
560×	`associate-l_binary64`
536×	`unswap-sqr_binary64`
410×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	696
1	102	696
2	230	696
3	601	687
4	2223	685
5	6477	685

Stop Event

1×	node limit

Counts

274 → 248

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 x (/.f64 1 n)) n)
✓	0.2b	(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))

Compiler

Compiled 34 to 21 computations (38.2% saved)

series9.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite70.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

497×	`log-prod_binary64`
377×	`exp-prod_binary64`
347×	`pow-prod-down_binary64`
246×	`pow2_binary64`
244×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	195	23
2	2659	23

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

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

Outputs

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

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

simplify101.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

878×	`fma-def_binary64`
605×	`associate-r_binary64`
595×	`associate-*l/_binary64`
537×	`associate-*r/_binary64`
534×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	844
1	143	840
2	367	836
3	1509	814
4	7593	814

Stop Event

1×	node limit

Counts

166 → 140

Calls

Call 1

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

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

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
✓	0.1b	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
✓	0.4b	(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
	2.3b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 35 to 8 computations (77.1% saved)

series10.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
1.0ms	x	@	0	(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
1.0ms	x	@	inf	(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
1.0ms	x	@	0	(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
1.0ms	x	@	-inf	(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))

rewrite88.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`pow1_binary64`
891×	`add-log-exp_binary64`
891×	`expm1-log1p-u_binary64`
889×	`log1p-expm1-u_binary64`
88×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	171	29
2	2364	29

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))

Outputs

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

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

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

simplify55.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

714×	`associate-/r*_binary64`
425×	`associate-+l+_binary64`
387×	`associate-*l/_binary64`
374×	`associate-*r/_binary64`
369×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	921
1	271	905
2	764	893
3	2605	868

Stop Event

1×	node limit

Counts

139 → 138

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 -1 (log.f64 x))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(log.f64 (-.f64 1 (log.f64 x)))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (log.f64 (-.f64 1 (log.f64 x))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (-.f64 1 (log.f64 x))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (pow.f64 x 2))) (log.f64 (-.f64 1 (log.f64 x)))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (-.f64 1 (log.f64 x))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (pow.f64 x 2))) (+.f64 (log.f64 (-.f64 1 (log.f64 x))) (.f64 1/6 (.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 3))) (+.f64 (.f64 2 (/.f64 1 (-.f64 1 (log.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2))))) (pow.f64 x 3))))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 35/24 (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 35/24 (/.f64 1 (pow.f64 x 4)))))

Outputs
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(+.f64 x (neg.f64 (log.f64 x)))
(-.f64 x (log.f64 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 -1 (log.f64 x))))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x))))
(fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x))))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/3 (pow.f64 x 3) (-.f64 x (log.f64 x))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/4 (pow.f64 x 4))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/4 (pow.f64 x 4))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (.f64 -1/2 (/.f64 (.f64 x x) n))))
(+.f64 (/.f64 x n) (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 n x))) (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 -1/2 (/.f64 x (/.f64 n x)) (/.f64 x n)) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 x n) x) (/.f64 x n)) (/.f64 (log.f64 x) n))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (.f64 -1/2 (/.f64 (.f64 x x) n)))))
(+.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 n x))) (/.f64 (log.f64 x) n)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n)))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (-.f64 (fma.f64 -1/2 (/.f64 x (/.f64 n x)) (/.f64 x n)) (/.f64 (log.f64 x) n)))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 x n) x) (/.f64 x n)) (/.f64 (log.f64 x) n)))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 x (*.f64 x n))))
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 -1/2 n) (*.f64 x x)))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (.f64 x x) n))))
(+.f64 (-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 x (.f64 x n)))) (/.f64 1/3 (.f64 (pow.f64 x 3) n)))
(+.f64 (/.f64 (/.f64 1 n) x) (+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (/.f64 (/.f64 -1/2 n) (.f64 x x))))
(+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 (/.f64 1/3 x) 1/2)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/2 (.f64 (.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/2 (.f64 x (.f64 x n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (/.f64 (/.f64 1 n) x) (+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 (/.f64 -1/2 n) (.f64 x x)) (/.f64 (/.f64 -1/4 (pow.f64 x 4)) n))))
(+.f64 (.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n)) (.f64 (/.f64 1 (*.f64 (pow.f64 x 3) n)) (-.f64 1/3 (/.f64 1/4 x))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (*.f64 x x) n)))
(-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 x (*.f64 x n))))
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 -1/2 n) (*.f64 x x)))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 (.f64 x x) n))))
(+.f64 (-.f64 (/.f64 1 (.f64 x n)) (/.f64 1/2 (.f64 x (.f64 x n)))) (/.f64 1/3 (.f64 (pow.f64 x 3) n)))
(+.f64 (/.f64 (/.f64 1 n) x) (+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (/.f64 (/.f64 -1/2 n) (.f64 x x))))
(+.f64 (/.f64 (/.f64 1 x) n) (.f64 (/.f64 (/.f64 1 (.f64 x x)) n) (-.f64 (/.f64 1/3 x) 1/2)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/2 (.f64 (.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1/2 (.f64 x (.f64 x n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (/.f64 (/.f64 1 n) x) (+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 (/.f64 -1/2 n) (.f64 x x)) (/.f64 (/.f64 -1/4 (pow.f64 x 4)) n))))
(+.f64 (.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n)) (.f64 (/.f64 1 (*.f64 (pow.f64 x 3) n)) (-.f64 1/3 (/.f64 1/4 x))))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(log.f64 (-.f64 1 (log.f64 x)))
(log1p.f64 (neg.f64 (log.f64 x)))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (log.f64 (-.f64 1 (log.f64 x))))
(+.f64 (log.f64 (-.f64 1 (log.f64 x))) (/.f64 x (-.f64 1 (log.f64 x))))
(+.f64 (log1p.f64 (neg.f64 (log.f64 x))) (/.f64 x (-.f64 1 (log.f64 x))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (-.f64 1 (log.f64 x))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (pow.f64 x 2))) (log.f64 (-.f64 1 (log.f64 x)))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (/.f64 1 (-.f64 1 (log.f64 x))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2)))) (log.f64 (-.f64 1 (log.f64 x)))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (/.f64 1 (-.f64 1 (log.f64 x))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2)))) (log1p.f64 (neg.f64 (log.f64 x)))))
(+.f64 (log1p.f64 (neg.f64 (log.f64 x))) (fma.f64 (*.f64 x x) (+.f64 (/.f64 -1/2 (-.f64 1 (log.f64 x))) (/.f64 -1/2 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (/.f64 x (-.f64 1 (log.f64 x)))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (-.f64 1 (log.f64 x))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (pow.f64 x 2))) (+.f64 (log.f64 (-.f64 1 (log.f64 x))) (.f64 1/6 (.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 3))) (+.f64 (.f64 2 (/.f64 1 (-.f64 1 (log.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2))))) (pow.f64 x 3))))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (+.f64 (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (/.f64 1 (-.f64 1 (log.f64 x))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2)))) (log.f64 (-.f64 1 (log.f64 x)))) (.f64 1/6 (.f64 (pow.f64 x 3) (+.f64 (+.f64 (/.f64 2 (pow.f64 (-.f64 1 (log.f64 x)) 3)) (/.f64 2 (-.f64 1 (log.f64 x)))) (/.f64 3 (pow.f64 (-.f64 1 (log.f64 x)) 2)))))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (/.f64 1 (-.f64 1 (log.f64 x))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2)))) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (+.f64 (/.f64 2 (pow.f64 (-.f64 1 (log.f64 x)) 3)) (+.f64 (/.f64 2 (-.f64 1 (log.f64 x))) (/.f64 3 (pow.f64 (-.f64 1 (log.f64 x)) 2))))) (log1p.f64 (neg.f64 (log.f64 x))))))
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (fma.f64 (pow.f64 x 3) (fma.f64 1/6 (+.f64 (/.f64 2 (-.f64 1 (log.f64 x))) (/.f64 3 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (/.f64 1/3 (pow.f64 (-.f64 1 (log.f64 x)) 3))) (fma.f64 (*.f64 x x) (+.f64 (/.f64 -1/2 (-.f64 1 (log.f64 x))) (/.f64 -1/2 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (log1p.f64 (neg.f64 (log.f64 x))))))
(+.f64 (fma.f64 (*.f64 x x) (+.f64 (/.f64 -1/2 (-.f64 1 (log.f64 x))) (/.f64 -1/2 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (log1p.f64 (neg.f64 (log.f64 x)))) (fma.f64 (pow.f64 x 3) (+.f64 (+.f64 (/.f64 1/3 (pow.f64 (-.f64 1 (log.f64 x)) 3)) (/.f64 1/3 (-.f64 1 (log.f64 x)))) (/.f64 1/2 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (/.f64 x (-.f64 1 (log.f64 x)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 7/6 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 7/6 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 7/6 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 35/24 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 7/6 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 35/24 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 7/6 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -35/24 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 7/6 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -35/24 (pow.f64 x 4))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 7/6 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 7/6 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 7/6 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 35/24 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 7/6 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 35/24 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 7/6 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -35/24 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 7/6 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -35/24 (pow.f64 x 4))))

eval360.0ms (1.2%)

Compiler: Compiled 15725 to 9543 computations (39.3% saved)

prune151.0ms (0.5%)

Pruning

36 alts after pruning (32 fresh and 4 done)

	Pruned	Kept	Total
New	826	17	843
Fresh	8	15	23
Picked	1	0	1
Done	2	4	6
Total	837	36	873

Error

0.0b

Counts

873 → 36

Alt Table

Click to see full alt table

Status	Error	Program
✓	40.7b	(/.f64 (/.f64 1 n) x)
	42.3b	(-.f64 (+.f64 1 (/.f64 (/.f64 1 n) x)) 1)
	40.6b	(/.f64 1/3 (*.f64 n (pow.f64 x 3)))
	40.7b	(/.f64 (/.f64 1 x) n)
	44.4b	(pow.f64 (sqrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) -2)
	45.5b	(.f64 (/.f64 (/.f64 1 n) x) (+.f64 (/.f64 1/3 (.f64 x x)) (/.f64 -1/2 x)))
	16.3b	(-.f64 (/.f64 (+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) n) (pow.f64 n -1))
	44.6b	(/.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 2)) (+.f64 1 (pow.f64 x (/.f64 1 n))))
	42.9b	(/.f64 (expm1.f64 (log1p.f64 (neg.f64 (log.f64 x)))) n)
	16.6b	(pow.f64 (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) -3)
	41.5b	(/.f64 (-.f64 x (log.f64 x)) n)
	35.5b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 x n)))
	42.0b	(neg.f64 (/.f64 (+.f64 (/.f64 1/2 x) -1) (*.f64 x n)))
	16.5b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
✓	41.4b	(.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x)))
	49.3b	(*.f64 (/.f64 -1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n)))
	16.6b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (/.f64 n (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
	41.3b	(/.f64 1 (/.f64 (neg.f64 n) (log.f64 x)))
	23.5b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
	26.3b	(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x)
	41.5b	(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
	41.2b	(/.f64 1 (/.f64 n (/.f64 1 x)))
	41.6b	(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 x)) n)) 3)
	52.1b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 3)
	41.3b	(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
	26.8b	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
✓	41.3b	(/.f64 (neg.f64 (log.f64 x)) n)
	41.7b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	35.6b	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
	44.7b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)
	38.9b	(/.f64 1 (*.f64 n (+.f64 x 1/2)))
	40.6b	(/.f64 (/.f64 1/3 n) (pow.f64 x 3))
✓	41.2b	(/.f64 1 (*.f64 n x))
	40.8b	(*.f64 (/.f64 1 x) (/.f64 1 n))
	26.2b	(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (+.f64 (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (/.f64 1/6 (/.f64 (pow.f64 n 3) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))) (+.f64 (.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))) (.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) -1/24))))
	45.5b	(*.f64 (/.f64 (/.f64 (/.f64 1 x) n) x) (+.f64 -1/2 (/.f64 1/3 x)))

Compiler

Compiled 475 to 337 computations (29.1% saved)

regimes663.0ms (2.2%)

Counts

68 → 2

Calls

Call 1

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

Outputs
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x)

Calls

5 calls:

215.0ms	n
179.0ms	(/.f64 1 n)
160.0ms	(/.f64 1 n)
74.0ms	x
7.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
0.9b	2	`x`
7.7b	7	`n`
10.6b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
8.1b	5	`(/.f64 1 n)`
8.1b	5	`(/.f64 1 n)`

Compiler

Compiled 927 to 461 computations (50.3% saved)

bsearch78.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
77.0ms	8.151435869671947e-8	1008417.814391795

Compiler

Compiled 62 to 45 computations (27.4% saved)

regimes470.0ms (1.6%)

Counts

28 → 2

Calls

Call 1

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

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

Calls

4 calls:

148.0ms	n
127.0ms	(/.f64 1 n)
126.0ms	(/.f64 1 n)
53.0ms	x

Results

Error	Segments	Branch
6.1b	2	`x`
8.5b	6	`n`
8.5b	5	`(/.f64 1 n)`
8.5b	5	`(/.f64 1 n)`

Compiler

Compiled 256 to 160 computations (37.5% saved)

bsearch230.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
229.0ms	1008417.814391795	6862717.0796976825

Compiler

Compiled 158 to 111 computations (29.7% saved)

regimes455.0ms (1.5%)

Counts

25 → 7

Calls

Call 1

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

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

Calls

4 calls:

223.0ms	n
87.0ms	x
69.0ms	(/.f64 1 n)
68.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
12.6b	3	`x`
8.9b	7	`n`
8.9b	6	`(/.f64 1 n)`
8.9b	6	`(/.f64 1 n)`

Compiler

Compiled 227 to 144 computations (36.6% saved)

bsearch779.0ms (2.6%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
147.0ms	1.9601234740273512e+127	2.1752106537436794e+127
208.0ms	1.2868817550788778e+104	1.2719571172015827e+107
99.0ms	105076.88197509437	2054316953410065.3
89.0ms	-1.0319700011570626e-306	9.760717173131454e-262
116.0ms	-1.3060028769697987e+33	-4.971585298205742e+20
121.0ms	-5.69942711100901e+62	-4.753164729101827e+61

Compiler

Compiled 284 to 219 computations (22.9% saved)

regimes264.0ms (0.9%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

4 calls:

81.0ms	x
59.0ms	(/.f64 1 n)
59.0ms	(/.f64 1 n)
58.0ms	n

Results

Error	Segments	Branch
12.6b	3	`x`
14.3b	5	`n`
14.3b	5	`(/.f64 1 n)`
14.3b	5	`(/.f64 1 n)`

Compiler

Compiled 219 to 138 computations (37% saved)

bsearch1.3s (4.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
907.0ms	4.981378824839566e+165	1.104816760991693e+168
363.0ms	3.6101582128514494e+55	5.428472638475891e+55

Compiler

Compiled 288 to 213 computations (26% saved)

regimes510.0ms (1.7%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

4 calls:

161.0ms	(/.f64 1 n)
142.0ms	n
132.0ms	(/.f64 1 n)
44.0ms	x

Results

Error	Segments	Branch
13.3b	3	`x`
22.7b	8	`n`
22.2b	8	`(/.f64 1 n)`
22.2b	8	`(/.f64 1 n)`

Compiler

Compiled 211 to 133 computations (37% saved)

bsearch616.0ms (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
497.0ms	4.981378824839566e+165	1.104816760991693e+168
119.0ms	8.151435869671947e-8	1008417.814391795

Compiler

Compiled 540 to 396 computations (26.7% saved)

regimes658.0ms (2.2%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

4 calls:

237.0ms	n
202.0ms	(/.f64 1 n)
125.0ms	x
87.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
13.3b	3	`x`
22.7b	8	`n`
22.2b	8	`(/.f64 1 n)`
22.2b	8	`(/.f64 1 n)`

Compiler

Compiled 195 to 130 computations (33.3% saved)

bsearch699.0ms (2.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
472.0ms	4.981378824839566e+165	1.104816760991693e+168
226.0ms	8.151435869671947e-8	1008417.814391795

Compiler

Compiled 520 to 386 computations (25.8% saved)

regimes418.0ms (1.4%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

4 calls:

154.0ms	(/.f64 1 n)
114.0ms	n
76.0ms	(/.f64 1 n)
67.0ms	x

Results

Error	Segments	Branch
15.1b	3	`x`
25.2b	8	`n`
24.7b	8	`(/.f64 1 n)`
24.7b	8	`(/.f64 1 n)`

Compiler

Compiled 167 to 113 computations (32.3% saved)

bsearch849.0ms (2.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
706.0ms	3.73218688065429e+201	9.628139027696866e+204
143.0ms	8.151435869671947e-8	1008417.814391795

Compiler

Compiled 566 to 425 computations (24.9% saved)

regimes363.0ms (1.2%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

4 calls:

125.0ms	n
101.0ms	(/.f64 1 n)
100.0ms	(/.f64 1 n)
31.0ms	x

Results

Error	Segments	Branch
15.3b	3	`x`
25.3b	8	`n`
24.8b	8	`(/.f64 1 n)`
24.8b	8	`(/.f64 1 n)`

Compiler

Compiled 161 to 111 computations (31.1% saved)

bsearch641.0ms (2.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
493.0ms	3.73218688065429e+201	9.628139027696866e+204
148.0ms	8.151435869671947e-8	1008417.814391795

Compiler

Compiled 556 to 425 computations (23.6% saved)

regimes153.0ms (0.5%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

4 calls:

47.0ms	n
33.0ms	(/.f64 1 n)
32.0ms	(/.f64 1 n)
31.0ms	x

Results

Error	Segments	Branch
33.1b	2	`x`
30.8b	3	`n`
30.8b	2	`(/.f64 1 n)`
30.8b	2	`(/.f64 1 n)`

Compiler

Compiled 156 to 108 computations (30.8% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-139956357319057.27	-1.5231504993792408e-8

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes50.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
38.9b	1	`x`
38.9b	1	`n`
38.9b	1	`(/.f64 1 n)`
38.9b	1	`(/.f64 1 n)`

Compiler

Compiled 61 to 43 computations (29.5% saved)

regimes65.0ms (0.2%)

Accuracy

Total -0.5b remaining (-1.2%)

Threshold costs -0.5b (-1.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

43.0ms	x
11.0ms	(/.f64 1 n)
9.0ms	n

Results

Error	Segments	Branch
40.7b	1	`x`
40.7b	1	`n`
40.7b	1	`(/.f64 1 n)`

Compiler

Compiled 35 to 24 computations (31.4% saved)

simplify46.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
11×	`sub-neg_binary64`
9×	`*-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	90	511
1	117	509
2	139	509
3	148	509
4	151	509

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x 1) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x))
(if (<=.f64 x 6800000) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x))
(if (<=.f64 n -569942711100901032591066844421685451735019865424489255855456256) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n -1306002876969798673217076787675136) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 4254389501031255/4431655730240890570873208338468970537576854829965217289494788227426828912378562609985972388077248187630768787235596695692701891796424703919264169279046042638370307804487526041098494559032612254828927504367683640736543383320802092814913686932172352322971955256027412154745356288) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 7220828346378915/68719476736) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1) (if (<=.f64 n 128688175507887776833528434305439111574206362172135120318149951420172382662764483138198524300856504877056) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 19601234740273511867068435315070185516628366548338155784329977377892651543056561765222558081623759866506410183208173877992620032) (/.f64 1 (*.f64 n (+.f64 x 1/2))) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)))))))
(if (<=.f64 x 37000000000000001875939894207245631775174508800481689600) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 x 1100000000000000094844143442499735763284457715646441263964934861943387932914082058910312051774767751911434737145961219748491546225864929744530939505276225809664436076544) (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) (/.f64 1/3 (*.f64 n (pow.f64 x 3)))))
(if (<=.f64 x 6195744825524975/75557863725914323419136) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) (if (<=.f64 x 1100000000000000094844143442499735763284457715646441263964934861943387932914082058910312051774767751911434737145961219748491546225864929744530939505276225809664436076544) (.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x))) (/.f64 1/3 (*.f64 n (pow.f64 x 3)))))
(if (<=.f64 x 6195744825524975/75557863725914323419136) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 1100000000000000094844143442499735763284457715646441263964934861943387932914082058910312051774767751911434737145961219748491546225864929744530939505276225809664436076544) (.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x))) (/.f64 1/3 (*.f64 n (pow.f64 x 3)))))
(if (<=.f64 x 6195744825524975/75557863725914323419136) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 9500000000000000102158481796539189005163889911542746448796118444135364525117003596831942404114941016215184941507184806898728381506099264996465452617928479123554411492475122043843500350930540471917203161088) (.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x))) (-.f64 (+.f64 1 (/.f64 (/.f64 1 n) x)) 1)))
(if (<=.f64 x 6195744825524975/75557863725914323419136) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 9500000000000000102158481796539189005163889911542746448796118444135364525117003596831942404114941016215184941507184806898728381506099264996465452617928479123554411492475122043843500350930540471917203161088) (.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x))) (-.f64 (+.f64 1 (/.f64 (/.f64 1 n) x)) 1)))
(if (<=.f64 (/.f64 1 n) -100000000000000) (-.f64 (+.f64 1 (/.f64 (/.f64 1 n) x)) 1) (/.f64 1 (*.f64 n (+.f64 x 1/2))))
(/.f64 1 (*.f64 n (+.f64 x 1/2)))
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 n) x)

Outputs
(if (<=.f64 x 1) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x))
(if (<=.f64 x 6800000) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x))
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(if (<=.f64 x 37000000000000001875939894207245631775174508800481689600) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 x 1100000000000000094844143442499735763284457715646441263964934861943387932914082058910312051774767751911434737145961219748491546225864929744530939505276225809664436076544) (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) (/.f64 1/3 (*.f64 n (pow.f64 x 3)))))
(if (<=.f64 x 6195744825524975/75557863725914323419136) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) (if (<=.f64 x 1100000000000000094844143442499735763284457715646441263964934861943387932914082058910312051774767751911434737145961219748491546225864929744530939505276225809664436076544) (.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x))) (/.f64 1/3 (*.f64 n (pow.f64 x 3)))))
(if (<=.f64 x 6195744825524975/75557863725914323419136) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) (if (<=.f64 x 1100000000000000094844143442499735763284457715646441263964934861943387932914082058910312051774767751911434737145961219748491546225864929744530939505276225809664436076544) (.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 1 (/.f64 1/3 (.f64 x x))) (/.f64 1/2 x))) (/.f64 1/3 (*.f64 n (pow.f64 x 3)))))
(if (<=.f64 x 6195744825524975/75557863725914323419136) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) (if (<=.f64 x 1100000000000000094844143442499735763284457715646441263964934861943387932914082058910312051774767751911434737145961219748491546225864929744530939505276225809664436076544) (.f64 (/.f64 (/.f64 1 n) x) (+.f64 (+.f64 1 (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 x))) (/.f64 1/3 (*.f64 n (pow.f64 x 3)))))
(if (<=.f64 x 6195744825524975/75557863725914323419136) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 1100000000000000094844143442499735763284457715646441263964934861943387932914082058910312051774767751911434737145961219748491546225864929744530939505276225809664436076544) (.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x))) (/.f64 1/3 (*.f64 n (pow.f64 x 3)))))
(if (<=.f64 x 6195744825524975/75557863725914323419136) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 1100000000000000094844143442499735763284457715646441263964934861943387932914082058910312051774767751911434737145961219748491546225864929744530939505276225809664436076544) (.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 1 (/.f64 1/3 (.f64 x x))) (/.f64 1/2 x))) (/.f64 1/3 (*.f64 n (pow.f64 x 3)))))
(if (<=.f64 x 6195744825524975/75557863725914323419136) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 1100000000000000094844143442499735763284457715646441263964934861943387932914082058910312051774767751911434737145961219748491546225864929744530939505276225809664436076544) (.f64 (/.f64 (/.f64 1 n) x) (+.f64 (+.f64 1 (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 x))) (/.f64 1/3 (*.f64 n (pow.f64 x 3)))))
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(if (<=.f64 x 6195744825524975/75557863725914323419136) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 9500000000000000102158481796539189005163889911542746448796118444135364525117003596831942404114941016215184941507184806898728381506099264996465452617928479123554411492475122043843500350930540471917203161088) (.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 1 (/.f64 1/3 (.f64 x x))) (/.f64 1/2 x))) (+.f64 (+.f64 1 (/.f64 (/.f64 1 n) x)) -1)))
(if (<=.f64 x 6195744825524975/75557863725914323419136) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 9500000000000000102158481796539189005163889911542746448796118444135364525117003596831942404114941016215184941507184806898728381506099264996465452617928479123554411492475122043843500350930540471917203161088) (.f64 (/.f64 (/.f64 1 n) x) (+.f64 (+.f64 1 (/.f64 1/3 (.f64 x x))) (/.f64 -1/2 x))) (+.f64 (+.f64 1 (/.f64 (/.f64 1 n) x)) -1)))
(if (<=.f64 (/.f64 1 n) -100000000000000) (-.f64 (+.f64 1 (/.f64 (/.f64 1 n) x)) 1) (/.f64 1 (*.f64 n (+.f64 x 1/2))))
(if (<=.f64 (/.f64 1 n) -100000000000000) (+.f64 (+.f64 1 (/.f64 (/.f64 1 n) x)) -1) (/.f64 1 (*.f64 n (+.f64 x 1/2))))
(/.f64 1 (*.f64 n (+.f64 x 1/2)))
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 n) x)

Compiler

Compiled 369 to 260 computations (29.5% saved)

soundness201.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

827×	`associate-/l*_binary64`
596×	`fma-def_binary64`
564×	`associate-/r*_binary64`
554×	`times-frac_binary64`
537×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	450
1	115	444
2	292	368
3	1107	336
0	151	1366
1	470	1293
2	1647	1207

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 497 to 411 computations (17.3% saved)

end241.0ms (0.8%)

Compiler: Compiled 347 to 228 computations (34.3% saved)