Details

analyze455.0ms (1.8%)

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)

sample10.0s (39.4%)

Results

3.3s	2834×	body	1024	valid
1.9s	1746×	body	2048	valid
1.8s	1473×	body	1024	invalid
741.0ms	2437×	body	256	valid
696.0ms	1239×	body	512	valid
408.0ms	755×	body	512	invalid
370.0ms	198×	body	1024	infinite
288.0ms	1335×	body	256	invalid
216.0ms	752×	body	256	infinite
140.0ms	226×	body	512	infinite
111.0ms	376×	body	256	unsamplable
12.0ms	8×	body	2048	invalid

Bogosity

preprocess58.0ms (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)

simplify52.0ms (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

32.6b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.6b	(-.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
✓	1.7b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

series43.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	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)))
1.0ms	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)))

rewrite75.0ms (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)))))))

simplify51.0ms (0.2%)

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))))

eval179.0ms (0.7%)

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

prune44.0ms (0.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	145	9	154
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	146	9	155

Error

0.7b

Counts

155 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.9b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
▶	36.5b	(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)))
	32.3b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
▶	43.1b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
▶	22.1b	(+.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))))
	38.8b	(+.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))))
	29.5b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
▶	48.2b	(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
	39.2b	(+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 -1/4 n) (+.f64 (/.f64 -1/4 (pow.f64 n 3)) (+.f64 (/.f64 1/24 (pow.f64 n 4)) (/.f64 (/.f64 11/24 n) n)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x))))

Compiler

Compiled 484 to 304 computations (37.2% 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)
✓	1.9b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 20 to 6 computations (70% saved)

series58.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
36.0ms	n	@	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
17.0ms	n	@	inf	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
2.0ms	x	@	-inf	(-.f64 (log1p.f64 x) (log.f64 x))
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)

rewrite76.0ms (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)))))))

simplify64.0ms (0.3%)

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)
✓	3.6b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))

Compiler

Compiled 23 to 8 computations (65.2% saved)

series114.0ms (0.4%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
74.0ms	x	@	0	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
29.0ms	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 1 (exp.f64 (/.f64 (log.f64 x) n)))

rewrite72.0ms (0.3%)

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)))))))

simplify76.0ms (0.3%)

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)

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (log.f64 x) n)
✓	3.1b	(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))

Compiler

Compiled 35 to 12 computations (65.7% saved)

series3.0ms (0%)

Counts

1 → 21

Calls

6 calls:

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

rewrite75.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`prod-diff_binary64`
547×	`log-prod_binary64`
429×	`fma-def_binary64`
292×	`pow2_binary64`
246×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	218	16
2	3160	16

Stop Event

1×	node limit

Counts

1 → 149

Calls

Call 1

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

Outputs

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

simplify140.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

665×	`associate-*l/_binary64`
570×	`div-sub_binary64`
495×	`associate-*r/_binary64`
337×	`fma-neg_binary64`
268×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	494
1	176	440
2	456	416
3	1833	382
4	7254	382

Stop Event

1×	node limit

Counts

170 → 167

Calls

Call 1

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

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

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 1/2 (*.f64 n n))
✓	5.4b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
✓	7.1b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x))
✓	15.7b	(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)))

Compiler

Compiled 89 to 27 computations (69.7% saved)

series28.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
4.0ms	x	@	inf	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
2.0ms	x	@	0	(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)))
2.0ms	n	@	inf	(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)))
2.0ms	n	@	0	(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)))

rewrite105.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

449×	`fma-def_binary64`
415×	`log-div_binary64`
332×	`expm1-udef_binary64`
332×	`log1p-udef_binary64`
287×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	78
1	379	72
2	5543	72

Stop Event

1×	node limit

Counts

4 → 123

Calls

Call 1

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

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

simplify96.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

936×	`times-frac_binary64`
638×	`fma-def_binary64`
519×	`associate-/r*_binary64`
501×	`associate-/l*_binary64`
463×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	154	2613
1	459	2582
2	1596	2470
3	6979	2453

Stop Event

1×	node limit

Counts

207 → 175

Calls

Call 1

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

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

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(pow.f64 (log.f64 x) 2)
✓	1.9b	(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))
	1.9b	(-.f64 (log1p.f64 x) (log.f64 x))
✓	2.2b	(/.f64 (pow.f64 (log1p.f64 x) 2) n)

Compiler

Compiled 100 to 48 computations (52% saved)

series12.0ms (0%)

Counts

3 → 56

Calls

15 calls:

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

rewrite125.0ms (0.5%)

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

Outputs

((#(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 (/.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 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((#(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))))))

simplify75.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

583×	`fma-neg_binary64`
535×	`unsub-neg_binary64`
482×	`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	4693	1189

Stop Event

1×	node limit

Counts

275 → 269

Calls

Call 1

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

eval616.0ms (2.4%)

Compiler: Compiled 24905 to 12903 computations (48.2% saved)

prune613.0ms (2.4%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	849	26	875
Fresh	2	2	4
Picked	1	0	1
Done	4	0	4
Total	856	28	884

Error

0.0b

Counts

884 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	43.1b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)
	29.5b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	46.9b	(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))
	22.1b	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	40.5b	(+.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))))
	39.7b	(/.f64 (/.f64 1 x) n)
	22.2b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))
	21.9b	(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
▶	21.9b	(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
	22.2b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
▶	21.8b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	32.3b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
	39.7b	(/.f64 (/.f64 1 n) x)
	37.5b	(fma.f64 (/.f64 1 (.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)))
	40.2b	(/.f64 1 (*.f64 n x))
	36.0b	(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 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)))
	35.9b	(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 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)))
▶	40.4b	(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) (/.f64 (/.f64 1 x) n))) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x)))
	40.5b	(/.f64 (+.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)))) n)
▶	61.1b	(/.f64 x n)
	44.2b	(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2))
	52.7b	(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
	33.4b	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
	22.2b	(*.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)))
▶	41.6b	(/.f64 (neg.f64 (log.f64 x)) n)
	40.6b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	40.3b	(.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x)))
	41.8b	(/.f64 (-.f64 x (log.f64 x)) n)

Compiler

Compiled 908 to 612 computations (32.6% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x 1) x)
✓	0.1b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
✓	2.1b	(log.f64 (/.f64 (+.f64 x 1) x))

Compiler

Compiled 27 to 17 computations (37% saved)

series64.0ms (0.3%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
53.0ms	n	@	0	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
6.0ms	n	@	inf	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
1.0ms	n	@	-inf	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
1.0ms	x	@	0	(log.f64 (/.f64 (+.f64 x 1) x))
0.0ms	x	@	-inf	(log.f64 (/.f64 (+.f64 x 1) x))

rewrite83.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

961×	`pow1_binary64`
894×	`add-log-exp_binary64`
894×	`log1p-expm1-u_binary64`
894×	`expm1-log1p-u_binary64`
88×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	172	26
2	2386	26

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

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

Outputs

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

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

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

simplify74.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

602×	`distribute-neg-frac_binary64`
459×	`associate-/r*_binary64`
458×	`fma-def_binary64`
376×	`distribute-rgt-neg-in_binary64`
335×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	66	685
1	173	663
2	460	659
3	1338	632
4	5019	626

Stop Event

1×	node limit

Counts

141 → 128

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize10.0ms (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)
1.0ms	n	@	0	(/.f64 (neg.f64 (log.f64 x)) n)
0.0ms	n	@	inf	(/.f64 (neg.f64 (log.f64 x)) n)

rewrite70.0ms (0.3%)

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)))))))

simplify119.0ms (0.5%)

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)

localize12.0ms (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)))
	1.9b	(-.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	x	@	0	(*.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)))

rewrite83.0ms (0.3%)

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)))))))

simplify57.0ms (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))))

localize89.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.4b	(/.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) x)
✓	5.3b	(+.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) (/.f64 (/.f64 1 x) n))
✓	6.6b	(fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) (/.f64 (/.f64 1 x) n)))
✓	11.8b	(/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x))

Compiler

Compiled 158 to 55 computations (65.2% saved)

series29.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) (/.f64 (/.f64 1 x) n)))
2.0ms	n	@	0	(fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) (/.f64 (/.f64 1 x) n)))
2.0ms	x	@	inf	(fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) (/.f64 (/.f64 1 x) n)))
2.0ms	x	@	0	(fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) (/.f64 (/.f64 1 x) n)))
2.0ms	x	@	0	(/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x))

rewrite160.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

250×	`add-sqr-sqrt_binary64`
242×	`*-un-lft-identity_binary64`
242×	`pow1_binary64`
232×	`add-exp-log_binary64`
232×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	94
1	492	80

Stop Event

1×	node limit

Counts

4 → 176

Calls

Call 1

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

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

simplify95.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

794×	`associate-/l*_binary64`
584×	`associate-*l/_binary64`
448×	`associate-/l/_binary64`
436×	`associate-r_binary64`
430×	`associate-*r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	2208
1	179	2036
2	464	1915
3	1631	1825

Stop Event

1×	node limit

Counts

272 → 204

Calls

Call 1

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

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

eval221.0ms (0.9%)

Compiler: Compiled 12919 to 5743 computations (55.5% saved)

prune114.0ms (0.4%)

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	460	17	477
Fresh	11	12	23
Picked	1	0	1
Done	1	3	4
Total	473	32	505

Error

0.0b

Counts

505 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	40.6b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
	41.6b	(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
	43.1b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)
	40.5b	(/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 -1/4 (pow.f64 x 4)) (.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2)))) n)
	29.5b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	40.4b	(+.f64 (/.f64 (+.f64 (/.f64 1 n) (/.f64 (log.f64 x) (.f64 n n))) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x)))
	22.1b	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	39.7b	(/.f64 (/.f64 1 x) n)
	40.4b	(/.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2))) n)
▶	21.9b	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
	51.4b	(*.f64 (/.f64 -1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n)))
✓	21.8b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	39.7b	(*.f64 (/.f64 1 n) (/.f64 1 x))
	46.9b	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
	41.9b	(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 n)))
	32.3b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
	39.7b	(/.f64 (/.f64 1 n) x)
	36.0b	(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 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)))
	35.9b	(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 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)))
	41.0b	(.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n)))
	52.7b	(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
✓	61.1b	(/.f64 x n)
▶	57.0b	(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) x) (/.f64 (+.f64 (.f64 (/.f64 (log.f64 x) (.f64 n x)) (.f64 n x)) n) (.f64 n (.f64 n x)))) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x)))
	41.8b	(/.f64 (-.f64 x (log.f64 x)) n)
	22.2b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
	33.4b	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
▶	41.2b	(/.f64 (log.f64 1) n)
▶	40.2b	(/.f64 1 (*.f64 x n))
✓	41.6b	(/.f64 (neg.f64 (log.f64 x)) n)
▶	41.0b	(+.f64 (+.f64 (/.f64 1 (.f64 n x)) (.f64 (/.f64 (log.f64 x) (.f64 (.f64 n n) x)) (-.f64 (/.f64 -1/2 x) -1))) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x)))
	43.9b	(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) x) (/.f64 (+.f64 (.f64 (/.f64 (log.f64 x) (.f64 n x)) n) (.f64 n (/.f64 1 x))) (.f64 n n))) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x)))
	37.5b	(fma.f64 (/.f64 1 (.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)))

Compiler

Compiled 1018 to 677 computations (33.5% saved)

localize43.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
✓	0.1b	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
	1.9b	(-.f64 (log1p.f64 x) (log.f64 x))

Compiler

Compiled 30 to 9 computations (70% saved)

series7.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite77.0ms (0.3%)

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

simplify69.0ms (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)))))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite44.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify9.0ms (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

47 → 24

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))

localize8.0ms (0%)

Compiler: Compiled 10 to 8 computations (20% saved)

localize59.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.5b	(+.f64 (+.f64 (/.f64 1 (.f64 n x)) (.f64 (/.f64 (log.f64 x) (.f64 (.f64 n n) x)) (-.f64 (/.f64 -1/2 x) -1))) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x)))
✓	3.5b	(.f64 (/.f64 (log.f64 x) (.f64 (*.f64 n n) x)) (-.f64 (/.f64 -1/2 x) -1))
✓	8.3b	(.f64 (.f64 n n) x)
	11.8b	(/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x))

Compiler

Compiled 143 to 63 computations (55.9% saved)

series13.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite89.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

274×	`add-sqr-sqrt_binary64`
266×	`*-un-lft-identity_binary64`
266×	`pow1_binary64`
254×	`add-cbrt-cube_binary64`
254×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	79
1	535	73

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

Inputs

(*.f64 (*.f64 n n) x)

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

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

Outputs

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

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

simplify81.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

686×	`fma-neg_binary64`
645×	`associate-l_binary64`
570×	`associate-/l/_binary64`
312×	`div-sub_binary64`
281×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	2011
1	266	1917
2	772	1759
3	2961	1563

Stop Event

1×	node limit

Counts

196 → 152

Calls

Call 1

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

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

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.6b	(fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) x) (/.f64 (+.f64 (.f64 (/.f64 (log.f64 x) (.f64 n x)) (.f64 n x)) n) (.f64 n (.f64 n x))))
	11.8b	(/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x))
✓	12.8b	(/.f64 (+.f64 (.f64 (/.f64 (log.f64 x) (.f64 n x)) (.f64 n x)) n) (.f64 n (*.f64 n x)))
✓	15.4b	(.f64 (/.f64 (log.f64 x) (.f64 n x)) (*.f64 n x))

Compiler

Compiled 197 to 43 computations (78.2% saved)

series10.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite98.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

455×	`log-div_binary64`
330×	`fma-def_binary64`
321×	`expm1-udef_binary64`
321×	`log1p-udef_binary64`
267×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	83
1	377	80
2	5720	80

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs

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

(/.f64 (+.f64 (*.f64 (/.f64 (log.f64 x) (*.f64 n x)) (*.f64 n x)) n) (*.f64 n (*.f64 n x)))

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

Outputs

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

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

simplify59.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

807×	`associate-/l*_binary64`
478×	`associate-*l/_binary64`
449×	`fma-def_binary64`
424×	`associate-r_binary64`
393×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	1201
1	146	1201
2	393	1126
3	1609	1036

Stop Event

1×	node limit

Counts

168 → 117

Calls

Call 1

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

eval346.0ms (1.4%)

Compiler: Compiled 20036 to 9397 computations (53.1% saved)

prune331.0ms (1.3%)

Pruning

37 alts after pruning (32 fresh and 5 done)

	Pruned	Kept	Total
New	567	13	580
Fresh	5	19	24
Picked	1	0	1
Done	2	5	7
Total	575	37	612

Error

0.0b

Counts

612 → 37

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.6b	(/.f64 (neg.f64 (log.f64 x)) n)
	48.4b	(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
	37.8b	(/.f64 1 (*.f64 n (+.f64 x 1/2)))
	39.8b	(/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n n)) (/.f64 1 n)) x)
	41.6b	(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
	46.4b	(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
	47.2b	(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) x) (/.f64 (+.f64 (log.f64 x) n) (.f64 n (.f64 n x)))) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x)))
	40.5b	(/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 -1/4 (pow.f64 x 4)) (.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2)))) n)
	41.0b	(+.f64 (+.f64 (/.f64 1 (.f64 n x)) (/.f64 (log.f64 x) (.f64 n (.f64 n x)))) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x)))
	43.1b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)
	29.5b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	40.4b	(+.f64 (/.f64 (+.f64 (/.f64 1 n) (/.f64 (log.f64 x) (.f64 n n))) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x)))
	22.1b	(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
	39.7b	(/.f64 (/.f64 1 x) n)
	40.4b	(/.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2))) n)
	51.4b	(*.f64 (/.f64 -1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n)))
✓	21.8b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
	41.0b	(/.f64 (+.f64 1 (/.f64 -1/2 x)) (*.f64 n x))
	39.7b	(*.f64 (/.f64 1 x) (/.f64 1 n))
	46.9b	(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
	40.4b	(/.f64 1 (+.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)))))))
	32.3b	(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
	39.7b	(/.f64 (/.f64 1 n) x)
	40.7b	(/.f64 1 (+.f64 (.f64 n x) (+.f64 (.f64 1/4 (/.f64 n x)) (+.f64 (.f64 1/2 n) (.f64 -1/3 (/.f64 n x))))))
	37.5b	(fma.f64 (/.f64 1 (.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)))
	40.2b	(/.f64 1 (/.f64 n (/.f64 1 x)))
	36.0b	(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 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)))
	35.9b	(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 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)))
✓	61.1b	(/.f64 x n)
	21.9b	(/.f64 1 (*.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n))
	41.6b	(/.f64 1 (/.f64 (neg.f64 n) (log.f64 x)))
	41.8b	(/.f64 (-.f64 x (log.f64 x)) n)
	22.2b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
	52.7b	(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
	33.4b	(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
✓	41.2b	(/.f64 (log.f64 1) n)
✓	40.2b	(/.f64 1 (*.f64 x n))

Compiler

Compiled 564 to 389 computations (31% saved)

regimes1.2s (4.7%)

Counts

66 → 2

Calls

Call 1

Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n (+.f64 x 1/2)))
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 1 (/.f64 n (/.f64 1 x)))
(*.f64 (/.f64 1 n) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (+.f64 1 (/.f64 -1/2 x)) (*.f64 n x))
(.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (.f64 x n)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(/.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2))) n)
(.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x)))
(/.f64 1 (+.f64 (.f64 n x) (+.f64 (.f64 1/4 (/.f64 n x)) (+.f64 (.f64 1/2 n) (.f64 -1/3 (/.f64 n x))))))
(/.f64 (log.f64 1) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 1 (/.f64 (neg.f64 n) (log.f64 x)))
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n n)) (/.f64 1 n)) x)
(/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 -1/4 (pow.f64 x 4)) (.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2)))) 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 n) (/.f64 (log.f64 x) (.f64 n n))) x) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x)))
(+.f64 (+.f64 (/.f64 1 (.f64 n x)) (/.f64 (log.f64 x) (.f64 n (.f64 n x)))) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x)))
(+.f64 (+.f64 (/.f64 1 (.f64 n x)) (.f64 (/.f64 (log.f64 x) (.f64 (.f64 n n) x)) (-.f64 (/.f64 -1/2 x) -1))) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x)))
(/.f64 1 (+.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)))))))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
(/.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 1 (*.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.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 (+.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)))) n)
(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)))
(fma.f64 (/.f64 1 (.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 (fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) x) (/.f64 (+.f64 (log.f64 x) n) (.f64 n (.f64 n x)))) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x)))
(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) (/.f64 (/.f64 1 x) n))) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x)))
(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) x) (/.f64 (+.f64 (.f64 (/.f64 (log.f64 x) (.f64 n x)) (.f64 n x)) n) (.f64 n (.f64 n x)))) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (.f64 x x)))
(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (.f64 x n)) x) (/.f64 (+.f64 (.f64 (/.f64 (log.f64 x) (.f64 n x)) n) (.f64 n (/.f64 1 x))) (.f64 n n))) (/.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x)))
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 n)))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))
(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)))
(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))
(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(+.f64 (/.f64 (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 (-.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 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 -1/4 n) (+.f64 (/.f64 -1/4 (pow.f64 n 3)) (+.f64 (/.f64 1/24 (pow.f64 n 4)) (/.f64 (/.f64 11/24 n) n)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x n))) (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) (+.f64 (+.f64 (/.f64 1/2 (.f64 n n)) (/.f64 -1/2 n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x))))

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

Calls

5 calls:

494.0ms	(/.f64 1 n)
288.0ms	n
254.0ms	(/.f64 1 n)
91.0ms	x
9.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
1.6b	2	`x`
8.0b	8	`n`
13.4b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
8.0b	7	`(/.f64 1 n)`
8.0b	7	`(/.f64 1 n)`

Compiler

Compiled 1133 to 537 computations (52.6% saved)

bsearch205.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
204.0ms	7.463395617640145e-6	7.82715385944584

Compiler

Compiled 83 to 60 computations (27.7% saved)

regimes773.0ms (3%)

Counts

38 → 3

Calls

Call 1

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

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

Calls

4 calls:

321.0ms	(/.f64 1 n)
158.0ms	(/.f64 1 n)
138.0ms	n
127.0ms	x

Results

Error	Segments	Branch
6.2b	3	`x`
9.5b	7	`n`
8.5b	8	`(/.f64 1 n)`
8.5b	8	`(/.f64 1 n)`

Compiler

Compiled 464 to 269 computations (42% saved)

bsearch753.0ms (3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
424.0ms	3.4979960048496406e+185	1.5198548361491023e+186
329.0ms	859.7760651646149	1763.0685042495168

Compiler

Compiled 415 to 328 computations (21% saved)

regimes797.0ms (3.1%)

Counts

32 → 8

Calls

Call 1

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

Calls

4 calls:

251.0ms	n
236.0ms	(/.f64 1 n)
186.0ms	(/.f64 1 n)
110.0ms	x

Results

Error	Segments	Branch
14.2b	3	`x`
8.5b	9	`n`
8.5b	8	`(/.f64 1 n)`
8.5b	8	`(/.f64 1 n)`

Compiler

Compiled 419 to 250 computations (40.3% saved)

bsearch2.0ms (0%)

Algorithm

7×	left-value

Steps

Time	Left	Right
0.0ms	2.0227328601365932e-8	488.4858277135611
0.0ms	3.1717438423916706e-126	3.439730841452451e-123
0.0ms	3.002253661691104e-159	1.6953083531242307e-158
0.0ms	-8.776735246618358e-167	-5.907115630323339e-168
0.0ms	-9.312053932886281e-112	-3.6017490393921425e-113
0.0ms	-2.1686775754176983e-70	-5.733385445174512e-78
0.0ms	-1238411829.6378229	-1.915235915643404e-8

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes627.0ms (2.5%)

Counts

25 → 8

Calls

Call 1

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

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

Calls

4 calls:

210.0ms	(/.f64 1 n)
187.0ms	n
167.0ms	(/.f64 1 n)
50.0ms	x

Results

Error	Segments	Branch
14.2b	3	`x`
8.5b	9	`n`
8.5b	8	`(/.f64 1 n)`
8.5b	8	`(/.f64 1 n)`

Compiler

Compiled 226 to 139 computations (38.5% saved)

bsearch1.0ms (0%)

Algorithm

7×	left-value

Steps

Time	Left	Right
0.0ms	2.0227328601365932e-8	488.4858277135611
0.0ms	3.1717438423916706e-126	3.439730841452451e-123
0.0ms	3.002253661691104e-159	1.6953083531242307e-158
0.0ms	-8.776735246618358e-167	-5.907115630323339e-168
0.0ms	-9.312053932886281e-112	-3.6017490393921425e-113
0.0ms	-2.1686775754176983e-70	-5.733385445174512e-78
0.0ms	-1238411829.6378229	-1.915235915643404e-8

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes438.0ms (1.7%)

Counts

24 → 8

Calls

Call 1

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

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

Calls

4 calls:

163.0ms	(/.f64 1 n)
131.0ms	n
92.0ms	(/.f64 1 n)
45.0ms	x

Results

Error	Segments	Branch
14.2b	3	`x`
8.7b	9	`n`
8.7b	8	`(/.f64 1 n)`
8.7b	8	`(/.f64 1 n)`

Compiler

Compiled 215 to 133 computations (38.1% saved)

bsearch1.0ms (0%)

Algorithm

7×	left-value

Steps

Time	Left	Right
0.0ms	2.0227328601365932e-8	488.4858277135611
0.0ms	3.1717438423916706e-126	3.439730841452451e-123
0.0ms	3.002253661691104e-159	1.6953083531242307e-158
0.0ms	-8.776735246618358e-167	-5.907115630323339e-168
0.0ms	-9.312053932886281e-112	-3.6017490393921425e-113
0.0ms	-2.1686775754176983e-70	-5.733385445174512e-78
0.0ms	-1238411829.6378229	-1.915235915643404e-8

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes762.0ms (3%)

Counts

23 → 3

Calls

Call 1

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

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 (log.f64 1) n)

Calls

4 calls:

310.0ms	(/.f64 1 n)
262.0ms	n
129.0ms	(/.f64 1 n)
53.0ms	x

Results

Error	Segments	Branch
14.3b	3	`x`
14.4b	10	`n`
14.9b	8	`(/.f64 1 n)`
14.9b	8	`(/.f64 1 n)`

Compiler

Compiled 207 to 128 computations (38.2% saved)

bsearch689.0ms (2.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
445.0ms	3.4979960048496406e+185	1.5198548361491023e+186
244.0ms	7.463395617640145e-6	7.82715385944584

Compiler

Compiled 443 to 330 computations (25.5% saved)

regimes443.0ms (1.7%)

Counts

18 → 3

Calls

Call 1

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

Calls

4 calls:

133.0ms	n
131.0ms	x
100.0ms	(/.f64 1 n)
70.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
14.4b	3	`x`
22.4b	9	`n`
22.8b	7	`(/.f64 1 n)`
22.8b	7	`(/.f64 1 n)`

Compiler

Compiled 173 to 113 computations (34.7% saved)

bsearch1.3s (5.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
816.0ms	3.4979960048496406e+185	1.5198548361491023e+186
504.0ms	7.463395617640145e-6	7.82715385944584

Compiler

Compiled 434 to 330 computations (24% saved)

regimes109.0ms (0.4%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

4 calls:

29.0ms	x
28.0ms	n
26.0ms	(/.f64 1 n)
18.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
32.4b	2	`x`
27.4b	3	`n`
27.4b	2	`(/.f64 1 n)`
27.4b	2	`(/.f64 1 n)`

Compiler

Compiled 168 to 110 computations (34.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1238411829.6378229	-1.915235915643404e-8

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes210.0ms (0.8%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

4 calls:

59.0ms	(/.f64 1 n)
59.0ms	n
19.0ms	(/.f64 1 n)
19.0ms	x

Results

Error	Segments	Branch
33.6b	2	`x`
32.6b	3	`n`
32.6b	2	`(/.f64 1 n)`
32.6b	2	`(/.f64 1 n)`

Compiler

Compiled 164 to 107 computations (34.8% saved)

bsearch178.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
68.0ms	-1.1160237816506566e-262	-4.239821313406366e-264
110.0ms	-52212888.857823044	-8.07485826659499e-10

Compiler

Compiled 394 to 321 computations (18.5% saved)

regimes28.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	n
7.0ms	(/.f64 1 n)
6.0ms	x
6.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
37.8b	1	`x`
37.8b	1	`n`
37.8b	1	`(/.f64 1 n)`
37.8b	1	`(/.f64 1 n)`

Compiler

Compiled 69 to 47 computations (31.9% saved)

regimes87.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	x
36.0ms	(/.f64 1 n)
5.0ms	n

Results

Error	Segments	Branch
39.7b	1	`x`
39.7b	1	`n`
39.7b	1	`(/.f64 1 n)`

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes9.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
4.0ms	n

Results

Error	Segments	Branch
39.7b	1	`x`
39.7b	1	`n`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes10.0ms (0%)

Accuracy

Total -21.5b remaining (-53.5%)

Threshold costs -21.5b (-53.5%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	n
4.0ms	x

Results

Error	Segments	Branch
40.2b	1	`x`
40.2b	1	`n`

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify108.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
11×	`*-commutative_binary64`
9×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	735
1	145	735
2	160	735
3	168	735
4	170	735

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x 1) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(if (<=.f64 x 860) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 1499999999999999909042167455985911120795820881987960223430708651773125828159040861124270570891212344239876164244904077514831264145883051995948988091083436466923515259489829140486573522944) (+.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 (log.f64 1) n)))
(if (<=.f64 (/.f64 1 n) -1000000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) -6216540455122333/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (+.f64 (/.f64 (log.f64 x) (.f64 n n)) (/.f64 1 n)) x) (if (<=.f64 (/.f64 1 n) -5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) -6639224910209589/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032) (/.f64 1 (.f64 n (+.f64 x 1/2))) (if (<=.f64 (/.f64 1 n) 4946608029462091/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 7621456421669903/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) (/.f64 (/.f64 1 x) n) (if (<=.f64 (/.f64 1 n) 3022314549036573/75557863725914323419136) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))))))))
(if (<=.f64 (/.f64 1 n) -1000000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) -6216540455122333/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 1 (.f64 n (+.f64 x 1/2))) (if (<=.f64 (/.f64 1 n) -5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) -6639224910209589/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032) (/.f64 1 (.f64 n (+.f64 x 1/2))) (if (<=.f64 (/.f64 1 n) 4946608029462091/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 7621456421669903/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) (/.f64 (/.f64 1 x) n) (if (<=.f64 (/.f64 1 n) 3022314549036573/75557863725914323419136) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))))))))
(if (<=.f64 (/.f64 1 n) -1000000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) -6216540455122333/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 1 (.f64 n (+.f64 x 1/2))) (if (<=.f64 (/.f64 1 n) -5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) -6639224910209589/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032) (/.f64 1 (.f64 n (+.f64 x 1/2))) (if (<=.f64 (/.f64 1 n) 4946608029462091/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 7621456421669903/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) (/.f64 (/.f64 1 x) n) (if (<=.f64 (/.f64 1 n) 3022314549036573/75557863725914323419136) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))))))))
(if (<=.f64 x 8854437155380585/1180591620717411303424) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 1499999999999999909042167455985911120795820881987960223430708651773125828159040861124270570891212344239876164244904077514831264145883051995948988091083436466923515259489829140486573522944) (.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x))) (/.f64 (log.f64 1) n)))
(if (<=.f64 x 8854437155380585/1180591620717411303424) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 1499999999999999909042167455985911120795820881987960223430708651773125828159040861124270570891212344239876164244904077514831264145883051995948988091083436466923515259489829140486573522944) (.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x))) (/.f64 (log.f64 1) n)))
(if (<=.f64 (/.f64 1 n) -1000000000) (/.f64 (log.f64 1) n) (/.f64 1 (*.f64 n (+.f64 x 1/2))))
(if (<=.f64 n -7930553376671967/9671406556917033397649408) (/.f64 1 (.f64 n (+.f64 x 1/2))) (if (<=.f64 n -7799714085223967/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608) (-.f64 (+.f64 1 (/.f64 1 (.f64 x n))) 1) (/.f64 1 (*.f64 n (+.f64 x 1/2)))))
(/.f64 1 (*.f64 n (+.f64 x 1/2)))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 x n))
(/.f64 x n)

Outputs
(if (<=.f64 x 1) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(if (<=.f64 x 860) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 1499999999999999909042167455985911120795820881987960223430708651773125828159040861124270570891212344239876164244904077514831264145883051995948988091083436466923515259489829140486573522944) (+.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 (log.f64 1) n)))
(if (<=.f64 x 860) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x 1499999999999999909042167455985911120795820881987960223430708651773125828159040861124270570891212344239876164244904077514831264145883051995948988091083436466923515259489829140486573522944) (+.f64 (.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 (/.f64 1 n) x)) (.f64 (/.f64 1 (*.f64 n (pow.f64 x 3))) (+.f64 1/3 (/.f64 -1/4 x)))) (/.f64 0 n)))
(if (<=.f64 (/.f64 1 n) -1000000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) -6216540455122333/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (+.f64 (/.f64 (log.f64 x) (.f64 n n)) (/.f64 1 n)) x) (if (<=.f64 (/.f64 1 n) -5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) -6639224910209589/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032) (/.f64 1 (.f64 n (+.f64 x 1/2))) (if (<=.f64 (/.f64 1 n) 4946608029462091/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 7621456421669903/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) (/.f64 (/.f64 1 x) n) (if (<=.f64 (/.f64 1 n) 3022314549036573/75557863725914323419136) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))))))))
(if (<=.f64 (/.f64 1 n) -1000000000) (/.f64 0 n) (if (<=.f64 (/.f64 1 n) -6216540455122333/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (+.f64 (/.f64 1 n) (/.f64 (log.f64 x) (.f64 n n))) x) (if (<=.f64 (/.f64 1 n) -5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) -6639224910209589/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032) (/.f64 1 (.f64 n (+.f64 x 1/2))) (if (<=.f64 (/.f64 1 n) 4946608029462091/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 7621456421669903/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) (/.f64 (/.f64 1 x) n) (if (<=.f64 (/.f64 1 n) 3022314549036573/75557863725914323419136) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))))))))
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(if (<=.f64 (/.f64 1 n) -1000000000) (/.f64 0 n) (if (<=.f64 (/.f64 1 n) -6216540455122333/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 1 (.f64 n (+.f64 x 1/2))) (if (<=.f64 (/.f64 1 n) -5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) -6639224910209589/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032) (/.f64 1 (.f64 n (+.f64 x 1/2))) (if (<=.f64 (/.f64 1 n) 4946608029462091/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 7621456421669903/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) (/.f64 (/.f64 1 x) n) (if (<=.f64 (/.f64 1 n) 3022314549036573/75557863725914323419136) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))))))))
(if (<=.f64 (/.f64 1 n) -1000000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) -6216540455122333/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 1 (.f64 n (+.f64 x 1/2))) (if (<=.f64 (/.f64 1 n) -5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) -6639224910209589/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032) (/.f64 1 (.f64 n (+.f64 x 1/2))) (if (<=.f64 (/.f64 1 n) 4946608029462091/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 7621456421669903/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) (/.f64 (/.f64 1 x) n) (if (<=.f64 (/.f64 1 n) 3022314549036573/75557863725914323419136) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))))))))
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(if (<=.f64 x 8854437155380585/1180591620717411303424) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 1499999999999999909042167455985911120795820881987960223430708651773125828159040861124270570891212344239876164244904077514831264145883051995948988091083436466923515259489829140486573522944) (.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1) (/.f64 1/2 x))) (/.f64 (log.f64 1) n)))
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(if (<=.f64 (/.f64 1 n) -1000000000) (/.f64 0 n) (/.f64 1 (*.f64 n (+.f64 x 1/2))))
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(if (<=.f64 n -7930553376671967/9671406556917033397649408) (/.f64 1 (.f64 n (+.f64 x 1/2))) (if (<=.f64 n -7799714085223967/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608) (+.f64 (+.f64 1 (/.f64 1 (.f64 x n))) -1) (/.f64 1 (*.f64 n (+.f64 x 1/2)))))
(/.f64 1 (*.f64 n (+.f64 x 1/2)))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 x n))
(/.f64 x n)

Compiler

Compiled 526 to 381 computations (27.6% saved)

soundness210.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

665×	`associate-*l/_binary64`
596×	`fma-def_binary64`
570×	`div-sub_binary64`
554×	`times-frac_binary64`
495×	`associate-*r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	494
1	176	440
2	456	416
3	1833	382
4	7254	382
0	151	1366
1	470	1293
2	1647	1207

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 202 to 152 computations (24.8% saved)

end343.0ms (1.3%)

Compiler: Compiled 500 to 342 computations (31.6% saved)