Details

analyze571.0ms (2%)

Algorithm

1×

Search

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

Compiler

Compiled 16 to 12 computations (25% saved)

sample14.2s (49.1%)

Results

3.4s	2737×	body	1024	valid
2.8s	1529×	body	1024	invalid
2.1s	1846×	body	2048	valid
2.0s	2445×	body	256	valid
1.2s	1228×	body	512	valid
1.2s	753×	body	512	invalid
700.0ms	767×	body	256	infinite
349.0ms	1325×	body	256	invalid
193.0ms	208×	body	1024	infinite
147.0ms	312×	body	256	unsamplable
107.0ms	220×	body	512	infinite
5.0ms	4×	body	2048	invalid

Bogosity

preprocess13.0ms (0%)

Algorithm

2×	egg-herbie

Rules

4×	`rational_best-simplify-1`
4×	`rational_best-simplify-17`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	17	74
2	20	74
0	2	2

Stop Event

1×	saturated
1×	saturated

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)

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best-simplify-1`
2×	`rational_best-simplify-17`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	11	37
2	13	37

Stop Event

1×

saturated

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)))

eval0.0ms (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

31.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.0b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize14.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓	2.1b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

series8.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
1.0ms	x	@	inf	(-.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)))
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)))

rewrite366.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1600×	`rational_best-simplify-1`
1112×	`rational_best-2`
1112×	`rational_best-3`
1112×	`rational_best-1`
1096×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	56
1	62	56
2	91	56
3	108	56
4	129	56
5	158	56
6	193	56
7	254	56
8	414	56
9	831	56
10	1566	56
11	2036	56
12	2165	56
13	2310	56
14	2412	56
15	2827	56
16	3578	56
17	4770	56
18	6028	56
19	6374	56
20	6740	56
21	6852	56
22	6872	56
23	7038	56
24	7382	56
25	7760	56

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs
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Outputs

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simplify482.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1666×	`rational_best-simplify-1`
1044×	`rational_best-simplify-42`
694×	`rational_best-simplify-2`
682×	`rational_best-simplify-44`
642×	`rational_best-simplify-47`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	329	9354
1	575	9344
2	1059	8894
3	1873	8740
4	3543	8618
5	6113	8618
6	6843	8618
7	7428	8618
8	7554	8618
9	7653	8618

Stop Event

1×	node limit

Counts

154 → 251

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)))
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(+.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (.f64 (pow.f64 x (/.f64 1 n)) -2)) (.f64 (pow.f64 x (/.f64 1 n)) -4))
(+.f64 (-.f64 (.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 2) (-.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (+.f64 x 1) (/.f64 1 n)))) (.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) -2))
(*.f64 1 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 1)
(*.f64 -1 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))))
(*.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))) -1)
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 1)
(/.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))) -1)
(pow.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 1)
(neg.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))))
(+.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 0)
(+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))
(+.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))
(+.f64 0 (pow.f64 (+.f64 x 1) (/.f64 1 n)))
(+.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))) (-.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 2) (pow.f64 x (/.f64 1 n))))
(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))
(+.f64 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n))) (*.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 2))
(+.f64 (.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) -2) (.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 3))
(+.f64 (.f64 (pow.f64 x (/.f64 1 n)) -2) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (.f64 (pow.f64 x (/.f64 1 n)) 2)))
(+.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 2) (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n))))
(+.f64 (.f64 (pow.f64 x (/.f64 1 n)) 2) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (.f64 (pow.f64 x (/.f64 1 n)) -2)))
(+.f64 (-.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (+.f64 x 1) (/.f64 1 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 2)))
(+.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 2)) (-.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (+.f64 x 1) (/.f64 1 n))))
(+.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 2))) (-.f64 (.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) -2) (pow.f64 x (/.f64 1 n))))
(+.f64 (.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 2) (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) -2) (pow.f64 (+.f64 x 1) (/.f64 1 n))))
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(+.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (.f64 (pow.f64 x (/.f64 1 n)) -2)) (.f64 (pow.f64 x (/.f64 1 n)) 2))
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(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 0)
(-.f64 (pow.f64 x (/.f64 1 n)) (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))))
(-.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 0 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n))))
(-.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (-.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (+.f64 x 1) (/.f64 1 n))))
(-.f64 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n))) (*.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) -2))
(-.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))
(-.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 2) (pow.f64 (+.f64 x 1) (/.f64 1 n)))
(-.f64 (.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 3) (.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 2))
(*.f64 1 (pow.f64 (+.f64 x 1) (/.f64 1 n)))
(*.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
(*.f64 -1 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n))))
(*.f64 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n))) -1)
(/.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
(/.f64 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n))) -1)
(neg.f64 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n))))

Outputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 x n) (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 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 (+.f64 (+.f64 1 (.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (pow.f64 x 2))) (+.f64 (/.f64 x n) (.f64 (-.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) (+.f64 (+.f64 1 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))))) (.f64 (-.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)))) (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 (log.f64 (/.f64 1 x)) n))) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))
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(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 x n)) (.f64 (*.f64 1/2 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 2))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 x n)) (.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (/.f64 (*.f64 1/2 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (pow.f64 x 2))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 x n)) (.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2)))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (.f64 x n)) (.f64 1/2 (*.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (/.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2)))))
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(pow.f64 (+.f64 1 x) (/.f64 1 n))
(+.f64 (.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 4) (.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) -3))
(pow.f64 (+.f64 1 x) (/.f64 1 n))
(+.f64 (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) 4) (.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) -2)) (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) -2) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (.f64 (pow.f64 x (/.f64 1 n)) 2))))
(+.f64 (-.f64 (.f64 4 (pow.f64 x (/.f64 1 n))) (.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) -2)) (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) -2) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (.f64 2 (pow.f64 x (/.f64 1 n))))))
(+.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 1 x) (/.f64 1 n))) (.f64 4 (pow.f64 x (/.f64 1 n)))) (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) -2) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (.f64 2 (pow.f64 x (/.f64 1 n))))))
(+.f64 (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) -2) (.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) -4)) (-.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))) (-.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 2) (pow.f64 x (/.f64 1 n)))))
(+.f64 (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) -2) (.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) -4)) (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 1 x) (/.f64 1 n))) (*.f64 2 (pow.f64 (+.f64 1 x) (/.f64 1 n))))))
(+.f64 (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) -2) (.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) -4)) (-.f64 (pow.f64 x (/.f64 1 n)) (-.f64 (*.f64 3 (pow.f64 (+.f64 1 x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))))
(+.f64 (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) -2) (.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) -4)) (+.f64 (.f64 2 (pow.f64 x (/.f64 1 n))) (.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) -3)))
(+.f64 (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) 2) (.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) -4)) (-.f64 (-.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (+.f64 x 1) (/.f64 1 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 2))))
(+.f64 (-.f64 (.f64 2 (pow.f64 x (/.f64 1 n))) (.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) -4)) (-.f64 (-.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (+.f64 1 x) (/.f64 1 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (*.f64 2 (pow.f64 (+.f64 1 x) (/.f64 1 n))))))
(+.f64 (-.f64 (.f64 2 (pow.f64 x (/.f64 1 n))) (.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) -4)) (+.f64 (.f64 (pow.f64 x (/.f64 1 n)) -2) (.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) -3)))
(+.f64 (-.f64 (.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 2) (.f64 (pow.f64 x (/.f64 1 n)) 4)) (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) 2) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (.f64 (pow.f64 x (/.f64 1 n)) -2))))
(+.f64 (-.f64 (.f64 2 (pow.f64 (+.f64 1 x) (/.f64 1 n))) (.f64 4 (pow.f64 x (/.f64 1 n)))) (-.f64 (.f64 2 (pow.f64 x (/.f64 1 n))) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (.f64 (pow.f64 x (/.f64 1 n)) -2))))
(+.f64 (.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 6) (.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) -5))
(pow.f64 (+.f64 1 x) (/.f64 1 n))
(+.f64 (.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) -5) (.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 6))
(pow.f64 (+.f64 1 x) (/.f64 1 n))
(+.f64 (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) 2) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (.f64 (pow.f64 x (/.f64 1 n)) -2))) (-.f64 (.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 2) (.f64 (pow.f64 x (/.f64 1 n)) 4)))
(+.f64 (-.f64 (.f64 2 (pow.f64 (+.f64 1 x) (/.f64 1 n))) (.f64 4 (pow.f64 x (/.f64 1 n)))) (-.f64 (.f64 2 (pow.f64 x (/.f64 1 n))) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (.f64 (pow.f64 x (/.f64 1 n)) -2))))
(+.f64 (-.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))) (-.f64 (.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 2) (pow.f64 x (/.f64 1 n)))) (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) -2) (*.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) -4)))
(+.f64 (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) -2) (.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) -4)) (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 1 x) (/.f64 1 n))) (*.f64 2 (pow.f64 (+.f64 1 x) (/.f64 1 n))))))
(+.f64 (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) -2) (.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) -4)) (-.f64 (pow.f64 x (/.f64 1 n)) (-.f64 (*.f64 3 (pow.f64 (+.f64 1 x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))))
(+.f64 (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) -2) (.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) -4)) (+.f64 (.f64 2 (pow.f64 x (/.f64 1 n))) (.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) -3)))
(+.f64 (-.f64 (-.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (+.f64 x 1) (/.f64 1 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 2))) (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) 2) (*.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) -4)))
(+.f64 (-.f64 (.f64 2 (pow.f64 x (/.f64 1 n))) (.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) -4)) (-.f64 (-.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (+.f64 1 x) (/.f64 1 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (*.f64 2 (pow.f64 (+.f64 1 x) (/.f64 1 n))))))
(+.f64 (-.f64 (.f64 2 (pow.f64 x (/.f64 1 n))) (.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) -4)) (+.f64 (.f64 (pow.f64 x (/.f64 1 n)) -2) (.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) -3)))
(+.f64 (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) -2) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (.f64 (pow.f64 x (/.f64 1 n)) 2))) (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) 4) (.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) -2)))
(+.f64 (-.f64 (.f64 4 (pow.f64 x (/.f64 1 n))) (.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) -2)) (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) -2) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (.f64 2 (pow.f64 x (/.f64 1 n))))))
(+.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 1 x) (/.f64 1 n))) (.f64 4 (pow.f64 x (/.f64 1 n)))) (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) -2) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (.f64 2 (pow.f64 x (/.f64 1 n))))))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 0)
(pow.f64 (+.f64 1 x) (/.f64 1 n))
(-.f64 (pow.f64 x (/.f64 1 n)) (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))))
(pow.f64 (+.f64 1 x) (/.f64 1 n))
(-.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(pow.f64 (+.f64 1 x) (/.f64 1 n))
(-.f64 0 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n))))
(pow.f64 (+.f64 1 x) (/.f64 1 n))
(-.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (-.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (+.f64 x 1) (/.f64 1 n))))
(pow.f64 (+.f64 1 x) (/.f64 1 n))
(-.f64 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n))) (*.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) -2))
(pow.f64 (+.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))
(pow.f64 (+.f64 1 x) (/.f64 1 n))
(-.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 2) (pow.f64 (+.f64 x 1) (/.f64 1 n)))
(pow.f64 (+.f64 1 x) (/.f64 1 n))
(-.f64 (.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 3) (.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 2))
(pow.f64 (+.f64 1 x) (/.f64 1 n))
(*.f64 1 (pow.f64 (+.f64 x 1) (/.f64 1 n)))
(pow.f64 (+.f64 1 x) (/.f64 1 n))
(*.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
(pow.f64 (+.f64 1 x) (/.f64 1 n))
(*.f64 -1 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n))))
(pow.f64 (+.f64 1 x) (/.f64 1 n))
(*.f64 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n))) -1)
(pow.f64 (+.f64 1 x) (/.f64 1 n))
(/.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
(pow.f64 (+.f64 1 x) (/.f64 1 n))
(/.f64 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n))) -1)
(pow.f64 (+.f64 1 x) (/.f64 1 n))
(neg.f64 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n))))
(pow.f64 (+.f64 1 x) (/.f64 1 n))

eval1.1s (3.7%)

Compiler: Compiled 10742 to 8094 computations (24.7% saved)

prune78.0ms (0.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	243	8	251
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	244	8	252

Error

0.8b

Counts

252 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.4b	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
▶	24.3b	(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))
	59.4b	(-.f64 (+.f64 (/.f64 x n) (+.f64 (+.f64 1 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))))) (.f64 (-.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)))) (pow.f64 x (/.f64 1 n)))
	51.1b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	56.5b	(-.f64 (+.f64 1 (+.f64 (/.f64 x n) (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))))) (pow.f64 x (/.f64 1 n)))
▶	44.9b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
▶	30.5b	(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (.f64 x n)) (.f64 (*.f64 1/2 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (pow.f64 x 2))))
▶	34.7b	(+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (.f64 x n)) (.f64 (-.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (pow.f64 x 3)))) (.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (+.f64 (/.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.f64 1/4 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))))) (pow.f64 x 4)) (.f64 1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))))))

Compiler

Compiled 552 to 426 computations (22.8% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
✓	1.5b	(log.f64 (+.f64 1 x))
✓	3.8b	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))

Compiler

Compiled 30 to 18 computations (40% saved)

series147.0ms (0.5%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
136.0ms	n	@	0	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
9.0ms	n	@	inf	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
0.0ms	x	@	inf	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
0.0ms	n	@	-inf	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
0.0ms	x	@	0	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)

rewrite109.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1458×	`rational_best-1`
1018×	`rational_best-2`
934×	`rational_best-4`
934×	`rational_best-3`
926×	`rational_best-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	73	59
2	133	59
3	216	59
4	403	59
5	1098	59
6	3455	59
7	4929	59
8	5931	59
9	7914	59

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 1 x)) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (/.f64 0 (.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (.f64 (log.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 1 x))) (log.f64 (pow.f64 (+.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 x) -2) (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (-.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (.f64 n n)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 1 x)) (/.f64 0 (.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (.f64 n n)) (log.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (log.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (log.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (log.f64 (+.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (+.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log.f64 (+.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (/.f64 0 (.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (/.f64 (log.f64 x) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 x) n) (+.f64 (/.f64 (log.f64 (+.f64 1 x)) (neg.f64 n)) (.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n) (.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 1 x)) (neg.f64 n)) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 1 x)) (neg.f64 n)) (.f64 (/.f64 1 n) (+.f64 (log.f64 x) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) 2) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (log.f64 (+.f64 1 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) n) (/.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (neg.f64 n)) (/.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (log.f64 x) n) -2) (/.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (.f64 (/.f64 (log.f64 x) n) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) n)) (/.f64 (log.f64 (+.f64 1 x)) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 n) (+.f64 (log.f64 x) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) -2))) (/.f64 (log.f64 (+.f64 1 x)) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (log.f64 (+.f64 1 x)) (neg.f64 n)) (.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) 2)) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (.f64 n n)) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (log.f64 (+.f64 1 x)) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (/.f64 -1 n))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (+.f64 (/.f64 1 n) (.f64 (/.f64 -1 n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 n) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 n) (+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 n) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1 n) (.f64 (/.f64 -1 n) 2)) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) -2)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))))))

Outputs

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

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

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

simplify319.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1234×	`rational_best-simplify-2`
858×	`rational_best-simplify-56`
836×	`rational_best-simplify-1`
698×	`rational_best-simplify-51`
628×	`rational_best-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	3368
1	298	3368
2	451	3304
3	835	3304
4	2221	3304
5	4471	3304
6	5894	3304
7	7782	3304

Stop Event

1×	node limit

Counts

104 → 149

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)))))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(*.f64 -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 1 x)) (neg.f64 (log.f64 x)))
(+.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 0)
(+.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (/.f64 0 (*.f64 n n)))
(+.f64 0 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 1 x)))
(+.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (*.f64 (log.f64 x) -2))
(+.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 1 x))) (log.f64 (pow.f64 (+.f64 1 x) 2)))
(+.f64 (*.f64 (log.f64 x) -2) (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (-.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 1 x))))
(+.f64 (/.f64 0 (*.f64 n n)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(*.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1)
(*.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))
(*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) -1)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1)
(/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) -1)
(pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1)
(neg.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))
(+.f64 (log.f64 (+.f64 1 x)) 0)
(+.f64 (log.f64 (+.f64 1 x)) (/.f64 0 (*.f64 n n)))
(+.f64 0 (log.f64 (+.f64 1 x)))
(+.f64 (/.f64 0 (*.f64 n n)) (log.f64 (+.f64 1 x)))
(-.f64 (log.f64 (+.f64 1 x)) 0)
(-.f64 0 (neg.f64 (log.f64 (+.f64 1 x))))
(*.f64 1 (log.f64 (+.f64 1 x)))
(*.f64 (log.f64 (+.f64 1 x)) 1)
(*.f64 -1 (neg.f64 (log.f64 (+.f64 1 x))))
(*.f64 (neg.f64 (log.f64 (+.f64 1 x))) -1)
(/.f64 (log.f64 (+.f64 1 x)) 1)
(/.f64 (neg.f64 (log.f64 (+.f64 1 x))) -1)
(pow.f64 (log.f64 (+.f64 1 x)) 1)
(neg.f64 (neg.f64 (log.f64 (+.f64 1 x))))
(+.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) 0)
(+.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (/.f64 0 (*.f64 n n)))
(+.f64 0 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n))
(+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (/.f64 (log.f64 x) (neg.f64 n)))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 (/.f64 (log.f64 (+.f64 1 x)) (neg.f64 n)) (*.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) 2)))
(+.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n) (*.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) 2))
(+.f64 (/.f64 (log.f64 (+.f64 1 x)) (neg.f64 n)) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) n)))
(+.f64 (/.f64 (log.f64 (+.f64 1 x)) (neg.f64 n)) (.f64 (/.f64 1 n) (+.f64 (log.f64 x) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) -2))))
(+.f64 (*.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) 2) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
(+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (log.f64 (+.f64 1 x)) n))
(+.f64 (/.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) n) (/.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (neg.f64 n)))
(+.f64 (/.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (neg.f64 n)) (/.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) n))
(+.f64 (*.f64 (/.f64 (log.f64 x) n) -2) (/.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n))
(+.f64 (/.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (*.f64 (/.f64 (log.f64 x) n) -2))
(+.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) n)) (/.f64 (log.f64 (+.f64 1 x)) (neg.f64 n)))
(+.f64 (.f64 (/.f64 1 n) (+.f64 (log.f64 x) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) -2))) (/.f64 (log.f64 (+.f64 1 x)) (neg.f64 n)))
(+.f64 (+.f64 (/.f64 (log.f64 (+.f64 1 x)) (neg.f64 n)) (*.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) 2)) (/.f64 (log.f64 x) n))
(+.f64 (/.f64 0 (*.f64 n n)) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n))
(-.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) 0)
(-.f64 0 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
(-.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (/.f64 (log.f64 x) n))
(-.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (log.f64 (+.f64 1 x)) (neg.f64 n)))
(*.f64 1 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n))
(*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (/.f64 1 n))
(*.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) 1)
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
(*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (/.f64 -1 n))
(.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (+.f64 (/.f64 1 n) (.f64 (/.f64 -1 n) 2)))
(*.f64 (/.f64 1 n) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(.f64 (/.f64 1 n) (+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) -2)))
(*.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n) -1)
(*.f64 (/.f64 -1 n) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))
(.f64 (+.f64 (/.f64 1 n) (.f64 (/.f64 -1 n) 2)) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))
(.f64 (+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) -2)) (/.f64 1 n))
(pow.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) 1)
(neg.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 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 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 -1 (log.f64 x))))
(+.f64 (+.f64 x (neg.f64 (log.f64 x))) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 (log.f64 x))))
(+.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) (neg.f64 (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 (+.f64 x (neg.f64 (log.f64 x))) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3)))))
(/.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 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (.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 (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))))
(/.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 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (.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 (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
(+.f64 x (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(+.f64 (+.f64 x (.f64 (pow.f64 x 4) -1/4)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 (+.f64 x (.f64 (pow.f64 x 4) -1/4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 x (+.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 (pow.f64 x 4) -1/4)) (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) -1/4))))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 (pow.f64 x 4) -1/4))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (neg.f64 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (neg.f64 (log.f64 (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (neg.f64 (log.f64 (/.f64 1 x))))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (log.f64 -1)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (log.f64 -1)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 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 (log.f64 x) (neg.f64 n)) (/.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 -1/2 (/.f64 (pow.f64 x 2) n)) (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)) (/.f64 x n)))
(+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (+.f64 (/.f64 x n) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(+.f64 (/.f64 x n) (+.f64 (/.f64 (log.f64 x) (neg.f64 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 (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))) (+.f64 (/.f64 x n) (.f64 1/3 (/.f64 (pow.f64 x 3) n))))
(+.f64 (/.f64 x n) (+.f64 (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))) (.f64 1/3 (/.f64 (pow.f64 x 3) n))))
(+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) n)) (+.f64 (/.f64 x n) (.f64 1/3 (/.f64 (pow.f64 x 3) n)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) n)) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (+.f64 (/.f64 x n) (.f64 1/3 (/.f64 (pow.f64 x 3) 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 1 (*.f64 (pow.f64 x 2) 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 (/.f64 1 (.f64 x n)) (.f64 1/3 (/.f64 1 (.f64 (pow.f64 x 3) n)))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n))))
(-.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 1 (.f64 (pow.f64 x 3) n)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (.f64 1/4 (/.f64 1 (*.f64 (pow.f64 x 4) 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 1 (*.f64 (pow.f64 x 2) 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 (/.f64 1 (.f64 x n)) (.f64 1/3 (/.f64 1 (.f64 (pow.f64 x 3) n)))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n))))
(-.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 1 (.f64 (pow.f64 x 3) n)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (.f64 1/4 (/.f64 1 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (log.f64 (+.f64 1 x)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (+.f64 x 1)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
(+.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 0)
(+.f64 (log.f64 (+.f64 x 1)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
(+.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (/.f64 0 (*.f64 n n)))
(+.f64 (log.f64 (+.f64 x 1)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
(+.f64 0 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(+.f64 (log.f64 (+.f64 x 1)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 1 x)))
(+.f64 (log.f64 (+.f64 x 1)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
(+.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (*.f64 (log.f64 x) -2))
(+.f64 (log.f64 (+.f64 x 1)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
(+.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 1 x))) (log.f64 (pow.f64 (+.f64 1 x) 2)))
(+.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 x 1))) (log.f64 (pow.f64 (+.f64 x 1) 2)))
(+.f64 (*.f64 (log.f64 x) -2) (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(+.f64 (log.f64 (+.f64 x 1)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
(+.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (-.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 1 x))))
(+.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 x 1))) (log.f64 (pow.f64 (+.f64 x 1) 2)))
(+.f64 (/.f64 0 (*.f64 n n)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(+.f64 (log.f64 (+.f64 x 1)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
(*.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(+.f64 (log.f64 (+.f64 x 1)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
(*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1)
(+.f64 (log.f64 (+.f64 x 1)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
(*.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))
(+.f64 (log.f64 (+.f64 x 1)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
(*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) -1)
(+.f64 (log.f64 (+.f64 x 1)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1)
(+.f64 (log.f64 (+.f64 x 1)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
(/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) -1)
(+.f64 (log.f64 (+.f64 x 1)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
(pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1)
(+.f64 (log.f64 (+.f64 x 1)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
(neg.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))
(+.f64 (log.f64 (+.f64 x 1)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
(+.f64 (log.f64 (+.f64 1 x)) 0)
(log.f64 (+.f64 x 1))
(+.f64 (log.f64 (+.f64 1 x)) (/.f64 0 (*.f64 n n)))
(log.f64 (+.f64 x 1))
(+.f64 0 (log.f64 (+.f64 1 x)))
(log.f64 (+.f64 x 1))
(+.f64 (/.f64 0 (*.f64 n n)) (log.f64 (+.f64 1 x)))
(log.f64 (+.f64 x 1))
(-.f64 (log.f64 (+.f64 1 x)) 0)
(log.f64 (+.f64 x 1))
(-.f64 0 (neg.f64 (log.f64 (+.f64 1 x))))
(log.f64 (+.f64 x 1))
(*.f64 1 (log.f64 (+.f64 1 x)))
(log.f64 (+.f64 x 1))
(*.f64 (log.f64 (+.f64 1 x)) 1)
(log.f64 (+.f64 x 1))
(*.f64 -1 (neg.f64 (log.f64 (+.f64 1 x))))
(log.f64 (+.f64 x 1))
(*.f64 (neg.f64 (log.f64 (+.f64 1 x))) -1)
(log.f64 (+.f64 x 1))
(/.f64 (log.f64 (+.f64 1 x)) 1)
(log.f64 (+.f64 x 1))
(/.f64 (neg.f64 (log.f64 (+.f64 1 x))) -1)
(log.f64 (+.f64 x 1))
(pow.f64 (log.f64 (+.f64 1 x)) 1)
(log.f64 (+.f64 x 1))
(neg.f64 (neg.f64 (log.f64 (+.f64 1 x))))
(log.f64 (+.f64 x 1))
(+.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) 0)
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(+.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (/.f64 0 (*.f64 n n)))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(+.f64 0 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (/.f64 (log.f64 x) (neg.f64 n)))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(+.f64 (/.f64 (log.f64 x) n) (+.f64 (/.f64 (log.f64 (+.f64 1 x)) (neg.f64 n)) (*.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) 2)))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(+.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n) (*.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) 2))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(+.f64 (/.f64 (log.f64 (+.f64 1 x)) (neg.f64 n)) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) n)))
(+.f64 (/.f64 (log.f64 (pow.f64 (+.f64 x 1) 2)) n) (/.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (neg.f64 n)))
(+.f64 (/.f64 (log.f64 (+.f64 1 x)) (neg.f64 n)) (.f64 (/.f64 1 n) (+.f64 (log.f64 x) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) -2))))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(+.f64 (*.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) 2) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (log.f64 (+.f64 1 x)) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(+.f64 (/.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) n) (/.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (neg.f64 n)))
(+.f64 (/.f64 (log.f64 (pow.f64 (+.f64 x 1) 2)) n) (/.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (neg.f64 n)))
(+.f64 (/.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (neg.f64 n)) (/.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) n))
(+.f64 (/.f64 (log.f64 (pow.f64 (+.f64 x 1) 2)) n) (/.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (neg.f64 n)))
(+.f64 (*.f64 (/.f64 (log.f64 x) n) -2) (/.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(+.f64 (/.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (*.f64 (/.f64 (log.f64 x) n) -2))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(+.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) n)) (/.f64 (log.f64 (+.f64 1 x)) (neg.f64 n)))
(+.f64 (/.f64 (log.f64 (pow.f64 (+.f64 x 1) 2)) n) (/.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (neg.f64 n)))
(+.f64 (.f64 (/.f64 1 n) (+.f64 (log.f64 x) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) -2))) (/.f64 (log.f64 (+.f64 1 x)) (neg.f64 n)))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(+.f64 (+.f64 (/.f64 (log.f64 (+.f64 1 x)) (neg.f64 n)) (*.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) 2)) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(+.f64 (/.f64 0 (*.f64 n n)) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(-.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) 0)
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(-.f64 0 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(-.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(-.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (log.f64 (+.f64 1 x)) (neg.f64 n)))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 1 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (/.f64 1 n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) 1)
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (/.f64 -1 n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (+.f64 (/.f64 1 n) (.f64 (/.f64 -1 n) 2)))
(.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (+.f64 (/.f64 1 n) (.f64 2 (/.f64 -1 n))))
(*.f64 (/.f64 1 n) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(.f64 (/.f64 1 n) (+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) -2)))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n) -1)
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 (/.f64 -1 n) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(.f64 (+.f64 (/.f64 1 n) (.f64 (/.f64 -1 n) 2)) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))
(.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (+.f64 (/.f64 1 n) (.f64 2 (/.f64 -1 n))))
(.f64 (+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) -2)) (/.f64 1 n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(pow.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) 1)
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(neg.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.4b	(-.f64 1 (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 20 to 13 computations (35% saved)

series426.0ms (1.5%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
214.0ms	x	@	inf	(-.f64 1 (pow.f64 x (/.f64 1 n)))
202.0ms	x	@	0	(-.f64 1 (pow.f64 x (/.f64 1 n)))
10.0ms	x	@	-inf	(-.f64 1 (pow.f64 x (/.f64 1 n)))
0.0ms	n	@	inf	(-.f64 1 (pow.f64 x (/.f64 1 n)))
0.0ms	n	@	-inf	(-.f64 1 (pow.f64 x (/.f64 1 n)))

rewrite13.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

22×	`rational_best-simplify-2`
22×	`rational_best-simplify-1`
20×	`rational_best-4`
20×	`rational_best-2`
20×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	49	19
2	71	19
3	82	19
4	107	19
5	119	19

Stop Event

1×

saturated

Counts

1 → 12

Calls

Call 1

Inputs
(-.f64 1 (pow.f64 x (/.f64 1 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 (-.f64 1 (pow.f64 x (/.f64 1 n))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (pow.f64 x (/.f64 1 n))))))) (#(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 (+.f64 (pow.f64 x (/.f64 1 n)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (pow.f64 x (/.f64 1 n)) -1))))) (#(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 (+.f64 (pow.f64 x (/.f64 1 n)) -1) -1)))) (#(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 neg.f64 (+.f64 (pow.f64 x (/.f64 1 n)) -1))))))

simplify45.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

66×	`rational_best-simplify-1`
42×	`rational_best-simplify-43`
40×	`rational_best-simplify-2`
18×	`rational_best-simplify-13`
12×	`rational_best-simplify-56`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	1260
1	101	1260
2	137	1212
3	171	1212
4	206	1212
5	216	1212
6	222	1212
7	224	1212

Stop Event

1×

saturated

Counts

36 → 32

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 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 -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 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) 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 (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 0)
(+.f64 0 (-.f64 1 (pow.f64 x (/.f64 1 n))))
(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)
(*.f64 1 (-.f64 1 (pow.f64 x (/.f64 1 n))))
(*.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1)
(*.f64 (+.f64 (pow.f64 x (/.f64 1 n)) -1) -1)
(*.f64 -1 (+.f64 (pow.f64 x (/.f64 1 n)) -1))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1)
(/.f64 (+.f64 (pow.f64 x (/.f64 1 n)) -1) -1)
(pow.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1)
(neg.f64 (+.f64 (pow.f64 x (/.f64 1 n)) -1))

Outputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.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 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (neg.f64 (log.f64 (/.f64 1 x))) n)))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (neg.f64 (log.f64 (/.f64 1 x))) n)))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (neg.f64 (log.f64 (/.f64 1 x))) n)))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (neg.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 (neg.f64 (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 (neg.f64 (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 (neg.f64 (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 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 (/.f64 (log.f64 x) (neg.f64 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 (neg.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 (log.f64 x) (neg.f64 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 (neg.f64 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))))
(+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 (/.f64 (log.f64 x) (neg.f64 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 (neg.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 (log.f64 x) (neg.f64 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 (neg.f64 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))))
(+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))))
(+.f64 1 (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(+.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 0)
(+.f64 1 (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(+.f64 0 (-.f64 1 (pow.f64 x (/.f64 1 n))))
(+.f64 1 (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)
(+.f64 1 (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 1 (-.f64 1 (pow.f64 x (/.f64 1 n))))
(+.f64 1 (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1)
(+.f64 1 (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (+.f64 (pow.f64 x (/.f64 1 n)) -1) -1)
(+.f64 1 (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 -1 (+.f64 (pow.f64 x (/.f64 1 n)) -1))
(+.f64 1 (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1)
(+.f64 1 (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (+.f64 (pow.f64 x (/.f64 1 n)) -1) -1)
(+.f64 1 (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(pow.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1)
(+.f64 1 (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(neg.f64 (+.f64 (pow.f64 x (/.f64 1 n)) -1))
(+.f64 1 (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)))
✓	0.0b	(log.f64 (/.f64 1 x))
✓	0.3b	(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
✓	3.3b	(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))

Compiler

Compiled 44 to 25 computations (43.2% saved)

series259.0ms (0.9%)

Counts

4 → 80

Calls

21 calls:

Time	Variable		Point	Expression
236.0ms	x	@	-inf	(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))
11.0ms	n	@	0	(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
4.0ms	x	@	inf	(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))
4.0ms	n	@	inf	(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
1.0ms	x	@	0	(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))

rewrite196.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1630×	`rational_best-2`
1630×	`rational_best-1`
1184×	`rational_best-4`
1184×	`rational_best-3`
1182×	`exponential-1`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	13	94
1	84	94
2	141	94
3	220	94
4	357	94
5	924	90
6	3464	82
7	7752	82

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)) 2) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (neg.f64 (.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (neg.f64 (.f64 x n))) (.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (neg.f64 (.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (/.f64 1 (.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (neg.f64 (.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x n)) (pow.f64 (/.f64 1 x) (/.f64 -1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n))) (/.f64 -1 (.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (neg.f64 (.f64 x n))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (.f64 x n)) (neg.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (.f64 (/.f64 (log.f64 (/.f64 1 x)) n) -2)) (/.f64 1 (.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)) (/.f64 (exp.f64 (.f64 (/.f64 (log.f64 (/.f64 1 x)) n) -2)) (.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (neg.f64 (*.f64 x n))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (log.f64 (/.f64 1 x)) n) -2) (/.f64 (log.f64 (/.f64 1 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (.f64 (/.f64 (log.f64 (/.f64 1 x)) n) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (log.f64 (/.f64 1 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (/.f64 1 x)) (/.f64 -1 n))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (/.f64 1 x)) (.f64 (/.f64 1 n) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (/.f64 1 x)) (neg.f64 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (/.f64 1 x)) (+.f64 (/.f64 1 n) (.f64 (/.f64 -1 n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 n) (log.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (log.f64 (/.f64 1 x))) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (log.f64 (/.f64 1 x))) (neg.f64 (/.f64 -1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 -1 n) (+.f64 (/.f64 1 n) (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (/.f64 1 x)) n) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (neg.f64 (log.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (/.f64 1 x) -1) (/.f64 1 n)))))))
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simplify130.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1372×	`rational_best-simplify-44`
1208×	`rational_best-simplify-2`
1198×	`rational_best-simplify-47`
782×	`rational_best-simplify-48`
750×	`rational_best-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	172	4546
1	276	4546
2	467	4546
3	1024	4546
4	3202	4208
5	6028	4208

Stop Event

1×	node limit

Counts

156 → 138

Calls

Call 1

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

Outputs
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(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
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(/.f64 (log.f64 x) n)
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(+.f64 1 (-.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)) 1))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)) 0)
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(+.f64 0 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(+.f64 (*.f64 (/.f64 (log.f64 (/.f64 1 x)) n) -2) (/.f64 (log.f64 (/.f64 1 x)) n))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (*.f64 (/.f64 (log.f64 (/.f64 1 x)) n) -2))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(-.f64 1 (-.f64 1 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(-.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)) 0)
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(-.f64 0 (/.f64 (log.f64 (/.f64 1 x)) n))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(*.f64 1 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(*.f64 (log.f64 (/.f64 1 x)) (/.f64 -1 n))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(.f64 (log.f64 (/.f64 1 x)) (.f64 (/.f64 1 n) -1))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(*.f64 (log.f64 (/.f64 1 x)) (neg.f64 (/.f64 1 n)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(.f64 (log.f64 (/.f64 1 x)) (+.f64 (/.f64 1 n) (.f64 (/.f64 -1 n) 2)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(*.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)) 1)
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(*.f64 (/.f64 -1 n) (log.f64 (/.f64 1 x)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(*.f64 (neg.f64 (log.f64 (/.f64 1 x))) (/.f64 1 n))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(*.f64 (neg.f64 (log.f64 (/.f64 1 x))) (neg.f64 (/.f64 -1 n)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(*.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 -1 n) (+.f64 (/.f64 1 n) (/.f64 1 n))))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(*.f64 (/.f64 (log.f64 (/.f64 1 x)) n) -1)
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(pow.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)) 1)
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(log.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(log.f64 (pow.f64 (pow.f64 (/.f64 1 x) -1) (/.f64 1 n)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(+.f64 (log.f64 (/.f64 1 x)) 0)
(log.f64 (/.f64 1 x))
(+.f64 0 (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 1 x))
(+.f64 (*.f64 (log.f64 (/.f64 1 x)) 2) (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 1 x))
(-.f64 (log.f64 (/.f64 1 x)) 0)
(log.f64 (/.f64 1 x))
(-.f64 0 (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 1 x))
(*.f64 1 (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 1 x))
(*.f64 (log.f64 (/.f64 1 x)) 1)
(log.f64 (/.f64 1 x))
(*.f64 -1 (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 1 x))
(*.f64 (neg.f64 (log.f64 (/.f64 1 x))) -1)
(log.f64 (/.f64 1 x))
(/.f64 (log.f64 (/.f64 1 x)) 1)
(log.f64 (/.f64 1 x))
(/.f64 (neg.f64 (log.f64 (/.f64 1 x))) -1)
(log.f64 (/.f64 1 x))
(pow.f64 (log.f64 (/.f64 1 x)) 1)
(log.f64 (/.f64 1 x))
(neg.f64 (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 1 x))
(+.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) 0)
(exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)))
(pow.f64 (/.f64 1 x) (/.f64 -1 n))
(+.f64 0 (pow.f64 (/.f64 1 x) (/.f64 -1 n)))
(exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)))
(pow.f64 (/.f64 1 x) (/.f64 -1 n))
(+.f64 (*.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) 2) (neg.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n))))
(exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)))
(pow.f64 (/.f64 1 x) (/.f64 -1 n))
(-.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) 0)
(exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)))
(pow.f64 (/.f64 1 x) (/.f64 -1 n))
(-.f64 0 (neg.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n))))
(exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)))
(pow.f64 (/.f64 1 x) (/.f64 -1 n))
(*.f64 1 (pow.f64 (/.f64 1 x) (/.f64 -1 n)))
(exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)))
(pow.f64 (/.f64 1 x) (/.f64 -1 n))
(*.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) 1)
(exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)))
(pow.f64 (/.f64 1 x) (/.f64 -1 n))
(*.f64 -1 (neg.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n))))
(exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)))
(pow.f64 (/.f64 1 x) (/.f64 -1 n))
(*.f64 (neg.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n))) -1)
(exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)))
(pow.f64 (/.f64 1 x) (/.f64 -1 n))
(.f64 (exp.f64 (.f64 (/.f64 (log.f64 (/.f64 1 x)) n) -2)) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)))
(pow.f64 (/.f64 1 x) (/.f64 -1 n))
(.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)) (exp.f64 (.f64 (/.f64 (log.f64 (/.f64 1 x)) n) -2)))
(exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)))
(pow.f64 (/.f64 1 x) (/.f64 -1 n))
(/.f64 1 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)))
(pow.f64 (/.f64 1 x) (/.f64 -1 n))
(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) 1)
(exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)))
(pow.f64 (/.f64 1 x) (/.f64 -1 n))
(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 (/.f64 1 x) (/.f64 -1 n))))
(exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)))
(pow.f64 (/.f64 1 x) (/.f64 -1 n))
(/.f64 (neg.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n))) -1)
(exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)))
(pow.f64 (/.f64 1 x) (/.f64 -1 n))
(pow.f64 (/.f64 1 x) (/.f64 -1 n))
(exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)))
(pow.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) 1)
(exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)))
(pow.f64 (/.f64 1 x) (/.f64 -1 n))
(neg.f64 (neg.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n))))
(exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)))
(pow.f64 (/.f64 1 x) (/.f64 -1 n))

localize67.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 1 (pow.f64 n 2))
	3.3b	(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))
✓	3.9b	(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (pow.f64 x 2))
✓	10.9b	(.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (pow.f64 x 2)))

Compiler

Compiled 153 to 104 computations (32% saved)

series171.0ms (0.6%)

Counts

3 → 48

Calls

15 calls:

Time	Variable		Point	Expression
163.0ms	x	@	inf	(.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (pow.f64 x 2)))
1.0ms	x	@	0	(.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (pow.f64 x 2)))
1.0ms	n	@	0	(.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (pow.f64 x 2)))
1.0ms	x	@	-inf	(.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (pow.f64 x 2)))
1.0ms	n	@	inf	(.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (pow.f64 x 2)))

rewrite70.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1208×	`rational_best-simplify-2`
1094×	`rational_best-2`
1094×	`rational_best-1`
1086×	`rational_best-4`
1086×	`rational_best-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	21	123
1	133	123
2	209	123
3	315	123
4	487	123
5	1115	111
6	3829	111

Stop Event

1×	node limit

Counts

3 → 38

Calls

Call 1

Inputs

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

(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (pow.f64 x 2))

(/.f64 1 (pow.f64 n 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n))) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 x 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 1/2 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n))) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 1/2 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n))) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 x 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (+.f64 (/.f64 1 n) (/.f64 -1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/2 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n))) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1 n) (/.f64 -1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 x 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 1/2 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n))) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 (/.f64 1 n) (/.f64 -1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 x 2)))))))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (pow.f64 n 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (pow.f64 n 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (pow.f64 n 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1 (pow.f64 n 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (pow.f64 n 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 n 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (pow.f64 n 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 n 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 n 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (pow.f64 n 2)))))))

simplify239.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1346×	`rational_best-simplify-56`
1136×	`rational_best-simplify-2`
922×	`rational_best-simplify-1`
842×	`rational_best-simplify-41`
840×	`rational_best-simplify-44`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	162	5106
1	266	5094
2	419	4872
3	688	4872
4	1114	4862
5	1933	4862
6	3585	4862
7	5767	4862

Stop Event

1×	node limit

Counts

86 → 114

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 (pow.f64 n 2) (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n (pow.f64 x 2)))) (.f64 1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 (pow.f64 n 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n (pow.f64 x 2)))) (.f64 1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 (pow.f64 n 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n (pow.f64 x 2)))) (.f64 1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 (pow.f64 n 2) (pow.f64 x 2)))))
(/.f64 -1/2 (*.f64 n (pow.f64 x 2)))
(-.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (pow.f64 n 2))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2))) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (pow.f64 n 3))) (.f64 1/2 (/.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (pow.f64 n 2)))) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2))) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (pow.f64 n 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 2))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (pow.f64 n 4))) (.f64 1/2 (/.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (pow.f64 n 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 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (pow.f64 n 2))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 2))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (pow.f64 n 4))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (pow.f64 n 3))))) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(.f64 1/2 (/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (exp.f64 (/.f64 (log.f64 x) n))) (pow.f64 x 2)))
(.f64 1/2 (/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (exp.f64 (/.f64 (log.f64 x) n))) (pow.f64 x 2)))
(.f64 1/2 (/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (exp.f64 (/.f64 (log.f64 x) n))) (pow.f64 x 2)))
(.f64 1/2 (/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (exp.f64 (/.f64 (log.f64 x) n))) (pow.f64 x 2)))
(.f64 1/2 (/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 2)))
(.f64 1/2 (/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 2)))
(.f64 1/2 (/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 2)))
(.f64 1/2 (/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 2)))
(.f64 1/2 (/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (exp.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))) (pow.f64 x 2)))
(.f64 1/2 (/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (exp.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))) (pow.f64 x 2)))
(.f64 1/2 (/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (exp.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))) (pow.f64 x 2)))
(.f64 1/2 (/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (exp.f64 (*.f64 -1 (/.f64 (+.f64 (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))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 2))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 2))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 2))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 2))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 2))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 2))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 2))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (pow.f64 x 2))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (pow.f64 x 2))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (pow.f64 x 2))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (pow.f64 x 2))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 2))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 2))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 2))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n (pow.f64 x 2)))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (.f64 (pow.f64 n 2) (pow.f64 x 2))))))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (.f64 (pow.f64 n 3) (pow.f64 x 2)))) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n (pow.f64 x 2)))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (.f64 (pow.f64 n 2) (pow.f64 x 2)))))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n (pow.f64 x 2)))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (.f64 (pow.f64 n 2) (pow.f64 x 2))))))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (.f64 (pow.f64 n 3) (pow.f64 x 2)))) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n (pow.f64 x 2)))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (.f64 (pow.f64 n 2) (pow.f64 x 2)))))))
(+.f64 (.f64 (.f64 1/2 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n))) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 x 2))) 0)
(+.f64 0 (.f64 (.f64 1/2 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n))) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 x 2))))
(-.f64 (.f64 (.f64 1/2 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n))) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 x 2))) 0)
(-.f64 0 (.f64 (+.f64 (/.f64 1 n) (/.f64 -1 (pow.f64 n 2))) (.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 x 2)))))
(/.f64 (.f64 (.f64 1/2 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n))) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 x 2))) 1)
(/.f64 (.f64 (+.f64 (/.f64 1 n) (/.f64 -1 (pow.f64 n 2))) (.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 x 2)))) -1)
(pow.f64 (.f64 (.f64 1/2 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n))) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 x 2))) 1)
(neg.f64 (.f64 (+.f64 (/.f64 1 n) (/.f64 -1 (pow.f64 n 2))) (.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 x 2)))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 x 2)) 1))
(+.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 x 2)) 0)
(+.f64 0 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 x 2)))
(+.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (neg.f64 (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 x 2))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 x 2))) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (neg.f64 (pow.f64 x 2))))
(-.f64 1 (-.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 x 2))))
(-.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 x 2)) 0)
(-.f64 0 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (neg.f64 (pow.f64 x 2))))
(*.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 x 2)))
(*.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (/.f64 1 (pow.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 x 2)) 1)
(*.f64 -1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (neg.f64 (pow.f64 x 2))))
(*.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (/.f64 1 x) (/.f64 -1 n)))
(*.f64 (neg.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n))) (/.f64 -1 (pow.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (neg.f64 (pow.f64 x 2))) -1)
(*.f64 (/.f64 -1 (pow.f64 x 2)) (neg.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n))))
(.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)) (/.f64 (exp.f64 (.f64 (/.f64 (log.f64 (/.f64 1 x)) n) -2)) (pow.f64 x 2)))
(.f64 (/.f64 (exp.f64 (.f64 (/.f64 (log.f64 (/.f64 1 x)) n) -2)) (pow.f64 x 2)) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(pow.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (pow.f64 x 2)) 1)
(neg.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (neg.f64 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 n 2)) 0)
(+.f64 0 (/.f64 1 (pow.f64 n 2)))
(-.f64 (/.f64 1 (pow.f64 n 2)) 0)
(-.f64 0 (/.f64 -1 (pow.f64 n 2)))
(*.f64 1 (/.f64 1 (pow.f64 n 2)))
(*.f64 (/.f64 1 (pow.f64 n 2)) 1)
(*.f64 -1 (/.f64 -1 (pow.f64 n 2)))
(*.f64 (/.f64 -1 (pow.f64 n 2)) -1)
(pow.f64 (/.f64 1 (pow.f64 n 2)) 1)
(neg.f64 (/.f64 -1 (pow.f64 n 2)))

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

localize552.0ms (1.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	9.0b	(+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (.f64 x n)) (.f64 (-.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (pow.f64 x 3)))) (.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (+.f64 (/.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.f64 1/4 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))))) (pow.f64 x 4)) (.f64 1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))))))
✓	9.9b	(/.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))
✓	11.7b	(/.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (*.f64 1/4 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))))) (pow.f64 x 4))
✓	14.2b	(.f64 (-.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (pow.f64 x 3)))

Compiler

Compiled 586 to 457 computations (22% saved)

series20.0ms (0.1%)

Counts

4 → 84

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	n	@	inf	(+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (.f64 x n)) (.f64 (-.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (pow.f64 x 3)))) (.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (+.f64 (/.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.f64 1/4 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))))) (pow.f64 x 4)) (.f64 1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))))))
2.0ms	x	@	0	(.f64 (-.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (pow.f64 x 3)))
2.0ms	n	@	-inf	(+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (.f64 x n)) (.f64 (-.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (pow.f64 x 3)))) (.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (+.f64 (/.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.f64 1/4 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))))) (pow.f64 x 4)) (.f64 1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))))))
2.0ms	x	@	0	(/.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (*.f64 1/4 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))))) (pow.f64 x 4))
1.0ms	n	@	0	(+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (.f64 x n)) (.f64 (-.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (pow.f64 x 3)))) (.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (+.f64 (/.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.f64 1/4 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))))) (pow.f64 x 4)) (.f64 1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))))))

rewrite354.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1638×	`rational_best-1`
1284×	`rational_best-simplify-2`
1210×	`rational_best-2`
1206×	`rational_best-4`
1206×	`rational_best-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	53	550
1	345	550
2	554	526
3	936	502
4	1747	502
5	4335	490
6	7932	490

Stop Event

1×	node limit

Counts

4 → 120

Calls

Call 1

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

Outputs
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simplify593.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1250×	`rational_best-simplify-48`
1166×	`rational_best-simplify-56`
1102×	`rational_best-simplify-45`
976×	`rational_best-simplify-49`
882×	`rational_best-simplify-2`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	590	26596
1	1219	26140
2	2127	25468
3	2780	25264
4	3835	25238
5	6338	25210

Stop Event

1×	node limit

Counts

204 → 405

Calls

Call 1

Inputs
(.f64 1/6 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 (pow.f64 n 3) (pow.f64 x 3))))
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(*.f64 (/.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 n) (/.f64 -1 (pow.f64 n 2))))
(*.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (/.f64 1 (pow.f64 x 2)))
(*.f64 (/.f64 (+.f64 (/.f64 1 n) (/.f64 -1 (pow.f64 n 2))) (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (/.f64 1 (neg.f64 (pow.f64 x 2))))
(*.f64 (/.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)))
(*.f64 (/.f64 -1 (neg.f64 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)))
(pow.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)) 1)
(neg.f64 (/.f64 (+.f64 (/.f64 1 n) (/.f64 -1 (pow.f64 n 2))) (pow.f64 x 2)))
(-.f64 (.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (.f64 (+.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))) (/.f64 1 (pow.f64 x 3))) (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.f64 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))) -1/4)) (pow.f64 x 4)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))) (/.f64 1 (.f64 n x))))) 0)
(.f64 1 (.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (.f64 (+.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))) (/.f64 1 (pow.f64 x 3))) (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.f64 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))) -1/4)) (pow.f64 x 4)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))) (/.f64 1 (*.f64 n x))))))
(.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (.f64 (+.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))) (/.f64 1 (pow.f64 x 3))) (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.f64 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))) -1/4)) (pow.f64 x 4)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))) (/.f64 1 (.f64 n x)))))
(.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (/.f64 1 (.f64 n x)) (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.f64 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))) -1/4)) (pow.f64 x 4)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))) (.f64 (+.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))) (/.f64 1 (pow.f64 x 3))))))
(.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (/.f64 (exp.f64 (/.f64 0 (neg.f64 n))) (.f64 n x)) (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.f64 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))) -1/4)) (pow.f64 x 4)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))) (.f64 (+.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))) (/.f64 1 (pow.f64 x 3))))))
(.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.f64 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))) -1/4)) (pow.f64 x 4)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))) (+.f64 (/.f64 1 (.f64 n x)) (.f64 (+.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))) (/.f64 1 (pow.f64 x 3))))))
(.f64 (.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (.f64 (+.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))) (/.f64 1 (pow.f64 x 3))) (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.f64 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))) -1/4)) (pow.f64 x 4)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))) (/.f64 1 (*.f64 n x))))) 1)
(.f64 (+.f64 (.f64 (+.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))) (/.f64 1 (pow.f64 x 3))) (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.f64 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))) -1/4)) (pow.f64 x 4)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))) (/.f64 1 (.f64 n x)))) (pow.f64 (/.f64 1 x) (/.f64 -1 n)))
(.f64 (+.f64 (/.f64 1 (.f64 n x)) (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.f64 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))) -1/4)) (pow.f64 x 4)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))) (.f64 (+.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))) (/.f64 1 (pow.f64 x 3))))) (pow.f64 (/.f64 1 x) (/.f64 -1 n)))
(.f64 (+.f64 (/.f64 (exp.f64 (/.f64 0 (neg.f64 n))) (.f64 n x)) (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.f64 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))) -1/4)) (pow.f64 x 4)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))) (.f64 (+.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))) (/.f64 1 (pow.f64 x 3))))) (pow.f64 (/.f64 1 x) (/.f64 -1 n)))
(.f64 (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.f64 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))) -1/4)) (pow.f64 x 4)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))) (+.f64 (/.f64 1 (.f64 n x)) (.f64 (+.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))) (/.f64 1 (pow.f64 x 3))))) (pow.f64 (/.f64 1 x) (/.f64 -1 n)))
(/.f64 (.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (.f64 (+.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))) (/.f64 1 (pow.f64 x 3))) (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.f64 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))) -1/4)) (pow.f64 x 4)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))) (/.f64 1 (.f64 n x))))) 1)
(pow.f64 (.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (.f64 (+.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))) (/.f64 1 (pow.f64 x 3))) (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.f64 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))) -1/4)) (pow.f64 x 4)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))) (/.f64 1 (.f64 n x))))) 1)

Outputs
(.f64 1/6 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 (pow.f64 n 3) (pow.f64 x 3))))
(.f64 1/6 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 (.f64 x n) 3)))
(.f64 1/6 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (pow.f64 (.f64 x n) 3)))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 (pow.f64 n 3) (pow.f64 x 3)))) (.f64 -1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 (pow.f64 n 2) (pow.f64 x 3)))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 (.f64 x n) 3))) (.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 (pow.f64 x 3) (pow.f64 n 2)))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (pow.f64 (.f64 x n) 3))) (.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (.f64 (pow.f64 x 3) (pow.f64 n 2)))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 (pow.f64 n 3) (pow.f64 x 3)))) (+.f64 (.f64 1/3 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n (pow.f64 x 3)))) (.f64 -1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 (pow.f64 n 2) (pow.f64 x 3))))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 (.f64 x n) 3))) (+.f64 (.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 (pow.f64 x 3) (pow.f64 n 2)))) (.f64 1/3 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n (pow.f64 x 3))))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (pow.f64 (.f64 x n) 3))) (+.f64 (.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (.f64 (pow.f64 x 3) (pow.f64 n 2)))) (.f64 1/3 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (.f64 n (pow.f64 x 3))))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 (pow.f64 n 3) (pow.f64 x 3)))) (+.f64 (.f64 1/3 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n (pow.f64 x 3)))) (.f64 -1/2 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 (pow.f64 n 2) (pow.f64 x 3))))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 (.f64 x n) 3))) (+.f64 (.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 (pow.f64 x 3) (pow.f64 n 2)))) (.f64 1/3 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n (pow.f64 x 3))))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (pow.f64 (.f64 x n) 3))) (+.f64 (.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (.f64 (pow.f64 x 3) (pow.f64 n 2)))) (.f64 1/3 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (.f64 n (pow.f64 x 3))))))
(/.f64 1/3 (*.f64 n (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 -1/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) (pow.f64 x 3)))) (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3))))) (/.f64 1/2 (*.f64 (pow.f64 n 2) (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 -1/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 x 3) (pow.f64 n 2)))) (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3))))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 -1/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 x 3) (pow.f64 n 2)))) (.f64 1/3 (/.f64 (/.f64 1 n) (pow.f64 x 3)))) (/.f64 1/2 (.f64 (pow.f64 x 3) (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 3) (pow.f64 x 3)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (.f64 (pow.f64 n 3) (pow.f64 x 3)))) (+.f64 (.f64 -1/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) (pow.f64 x 3)))) (+.f64 (.f64 1/6 (/.f64 1 (.f64 (pow.f64 n 3) (pow.f64 x 3)))) (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 (.f64 x n) 3))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 (.f64 x n) 3))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 (.f64 x n) 3))) (.f64 -1/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 x 3) (pow.f64 n 2)))))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 n 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 (.f64 x n) 3))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 (.f64 x n) 3))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (+.f64 (.f64 -1/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 x 3) (pow.f64 n 2)))) (.f64 1/6 (/.f64 1 (pow.f64 (.f64 x n) 3))))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 n 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 (.f64 x n) 3))) (+.f64 (.f64 -1/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 x 3) (pow.f64 n 2)))) (+.f64 (/.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (pow.f64 x 3)) (.f64 1/6 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 (.f64 x n) 3)))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 n 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 (.f64 x n) 3))) (+.f64 (.f64 -1/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 x 3) (pow.f64 n 2)))) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/3 n))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 (.f64 x n) 3)))))) (.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1/2 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (.f64 (pow.f64 n 4) (pow.f64 x 3)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (.f64 (pow.f64 n 3) (pow.f64 x 3)))) (+.f64 (.f64 -1/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) (pow.f64 x 3)))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 3) (pow.f64 x 3)))) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (.f64 (pow.f64 n 4) (pow.f64 x 3)))) (+.f64 (.f64 1/6 (/.f64 1 (.f64 (pow.f64 n 3) (pow.f64 x 3)))) (.f64 -1/6 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 4) (pow.f64 x 3))))))))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 3)))))
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(.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (.f64 1/3 (/.f64 1 n)) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))))) (+.f64 (/.f64 (/.f64 1 x) n) (+.f64 (/.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (+.f64 (.f64 (/.f64 1 (pow.f64 n 2)) 11/24) (.f64 -1/4 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3)))))) (pow.f64 x 4)) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))))))
(.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (.f64 1/3 (/.f64 1 n)) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))))) (+.f64 (/.f64 (/.f64 1 x) n) (+.f64 (/.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 n 2)) 11/24) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 -1/4 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3)))))) (pow.f64 x 4)) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))))))
(.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 n 2)) 11/24) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 1/4 (+.f64 (/.f64 -1 n) (/.f64 -1 (pow.f64 n 3)))))) (pow.f64 x 4)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (.f64 1/3 (/.f64 1 n)) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))))) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))))))
(.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 n 2)) 11/24) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 1/4 (+.f64 (/.f64 -1 n) (/.f64 -1 (pow.f64 n 3)))))) (pow.f64 x 4)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (.f64 1/3 (/.f64 1 n)) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))))) (.f64 -1/2 (/.f64 (+.f64 (/.f64 1 n) (/.f64 -1 (pow.f64 n 2))) (pow.f64 x 2)))))))
(/.f64 (.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (.f64 (+.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))) (/.f64 1 (pow.f64 x 3))) (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.f64 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))) -1/4)) (pow.f64 x 4)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))) (/.f64 1 (.f64 n x))))) 1)
(.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (/.f64 1 (.f64 x n)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) (+.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))))) (+.f64 (/.f64 (+.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.f64 -1/4 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))))) (pow.f64 x 4)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))))))
(.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (.f64 1/3 (/.f64 1 n)) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))))) (+.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (+.f64 (.f64 (/.f64 1 (pow.f64 n 2)) 11/24) (.f64 -1/4 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3)))))) (pow.f64 x 4)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))))))
(.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (.f64 1/3 (/.f64 1 n)) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))))) (+.f64 (/.f64 (/.f64 1 x) n) (+.f64 (/.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (+.f64 (.f64 (/.f64 1 (pow.f64 n 2)) 11/24) (.f64 -1/4 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3)))))) (pow.f64 x 4)) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))))))
(.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (.f64 1/3 (/.f64 1 n)) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))))) (+.f64 (/.f64 (/.f64 1 x) n) (+.f64 (/.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 n 2)) 11/24) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 -1/4 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3)))))) (pow.f64 x 4)) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))))))
(.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 n 2)) 11/24) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 1/4 (+.f64 (/.f64 -1 n) (/.f64 -1 (pow.f64 n 3)))))) (pow.f64 x 4)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (.f64 1/3 (/.f64 1 n)) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))))) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))))))
(.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 n 2)) 11/24) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 1/4 (+.f64 (/.f64 -1 n) (/.f64 -1 (pow.f64 n 3)))))) (pow.f64 x 4)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (.f64 1/3 (/.f64 1 n)) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))))) (.f64 -1/2 (/.f64 (+.f64 (/.f64 1 n) (/.f64 -1 (pow.f64 n 2))) (pow.f64 x 2)))))))
(pow.f64 (.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (.f64 (+.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))) (/.f64 1 (pow.f64 x 3))) (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.f64 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))) -1/4)) (pow.f64 x 4)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))) (/.f64 1 (.f64 n x))))) 1)
(.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (/.f64 1 (.f64 x n)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) (+.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))))) (+.f64 (/.f64 (+.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.f64 -1/4 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))))) (pow.f64 x 4)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))))))
(.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (.f64 1/3 (/.f64 1 n)) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))))) (+.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (+.f64 (.f64 (/.f64 1 (pow.f64 n 2)) 11/24) (.f64 -1/4 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3)))))) (pow.f64 x 4)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))))))
(.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (.f64 1/3 (/.f64 1 n)) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))))) (+.f64 (/.f64 (/.f64 1 x) n) (+.f64 (/.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (+.f64 (.f64 (/.f64 1 (pow.f64 n 2)) 11/24) (.f64 -1/4 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3)))))) (pow.f64 x 4)) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))))))
(.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (.f64 1/3 (/.f64 1 n)) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))))) (+.f64 (/.f64 (/.f64 1 x) n) (+.f64 (/.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 n 2)) 11/24) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 -1/4 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3)))))) (pow.f64 x 4)) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))))))
(.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 n 2)) 11/24) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 1/4 (+.f64 (/.f64 -1 n) (/.f64 -1 (pow.f64 n 3)))))) (pow.f64 x 4)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (.f64 1/3 (/.f64 1 n)) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))))) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) (pow.f64 x 2)))))))
(.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (+.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 n 2)) 11/24) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 1/4 (+.f64 (/.f64 -1 n) (/.f64 -1 (pow.f64 n 3)))))) (pow.f64 x 4)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (.f64 1/3 (/.f64 1 n)) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 -1 (pow.f64 n 2)))))) (.f64 -1/2 (/.f64 (+.f64 (/.f64 1 n) (/.f64 -1 (pow.f64 n 2))) (pow.f64 x 2)))))))

eval2.1s (7.3%)

Compiler: Compiled 60932 to 46261 computations (24.1% saved)

prune215.0ms (0.7%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	877	10	887
Fresh	0	3	3
Picked	1	0	1
Done	2	2	4
Total	880	15	895

Error

0.3b

Counts

895 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	24.3b	(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
	38.2b	(/.f64 (/.f64 1 x) n)
▶	39.0b	(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
	39.0b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))) n)
✓	16.4b	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
▶	42.9b	(/.f64 (-.f64 x (log.f64 x)) n)
	42.9b	(/.f64 (neg.f64 (log.f64 x)) n)
▶	38.7b	(/.f64 1 (*.f64 x n))
	59.4b	(-.f64 (+.f64 (/.f64 x n) (+.f64 (+.f64 1 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))))) (.f64 (-.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)))) (pow.f64 x (/.f64 1 n)))
	51.1b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
▶	56.5b	(-.f64 (+.f64 1 (+.f64 (/.f64 x n) (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))))) (pow.f64 x (/.f64 1 n)))
✓	44.9b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
▶	16.4b	(+.f64 (/.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (*.f64 (/.f64 (log.f64 x) n) -2))
	16.5b	(*.f64 (/.f64 1 n) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
	38.6b	(.f64 (exp.f64 (.f64 (/.f64 (log.f64 (/.f64 1 x)) n) -2)) (/.f64 1 (.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n))))

Compiler

Compiled 502 to 381 computations (24.1% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (log.f64 x) n)
✓	0.3b	(/.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
	1.5b	(log.f64 (+.f64 1 x))
✓	3.2b	(+.f64 (/.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (*.f64 (/.f64 (log.f64 x) n) -2))

Compiler

Compiled 57 to 30 computations (47.4% saved)

series5.0ms (0%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	n	@	inf	(+.f64 (/.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (*.f64 (/.f64 (log.f64 x) n) -2))
1.0ms	n	@	0	(+.f64 (/.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (*.f64 (/.f64 (log.f64 x) n) -2))
1.0ms	n	@	-inf	(+.f64 (/.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (*.f64 (/.f64 (log.f64 x) n) -2))
1.0ms	x	@	-inf	(+.f64 (/.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (*.f64 (/.f64 (log.f64 x) n) -2))
0.0ms	x	@	inf	(+.f64 (/.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (*.f64 (/.f64 (log.f64 x) n) -2))

rewrite83.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1684×	`rational_best-2`
1684×	`rational_best-1`
1056×	`rational_best-simplify-2`
902×	`rational_best-3`
900×	`rational_best-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	87
1	99	87
2	163	77
3	258	77
4	454	75
5	1173	75
6	3697	75
7	7529	75

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

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

Outputs

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

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

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

simplify239.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1738×	`rational_best-simplify-52`
1182×	`rational_best-simplify-1`
1108×	`rational_best-simplify-42`
1034×	`rational_best-simplify-2`
634×	`rational_best-simplify-55`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	206	4506
1	363	4304
2	611	4112
3	1063	4036
4	1793	3820
5	2867	3802
6	4360	3802
7	6301	3802
8	6854	3746
9	7422	3746
10	7935	3746

Stop Event

1×	node limit

Counts

116 → 167

Calls

Call 1

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.6b	(/.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	x	@	inf	(/.f64 1 (*.f64 x n))
0.0ms	x	@	0	(/.f64 1 (*.f64 x n))
0.0ms	n	@	inf	(/.f64 1 (*.f64 x n))
0.0ms	x	@	-inf	(/.f64 1 (*.f64 x n))

rewrite12.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

14×	`rational_best-simplify-2`
12×	`rational_best-4`
12×	`rational_best-2`
12×	`rational_best-3`
12×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	44	13
2	61	13

Stop Event

1×

saturated

Counts

1 → 6

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 x n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (*.f64 x n)) 0)))) (#(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 pow.f64 (/.f64 1 (*.f64 x n)) 1)))))

simplify12.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`rational_best-simplify-2`
2×	`rational_best-simplify-5`
2×	`rational_best-simplify-4`
2×	`exponential-simplify-11`
2×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	390
1	16	390
2	18	390

Stop Event

1×

saturated

Counts

30 → 7

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))
(+.f64 (/.f64 1 (*.f64 x n)) 0)
(+.f64 0 (/.f64 1 (*.f64 x n)))
(-.f64 (/.f64 1 (*.f64 x n)) 0)
(.f64 1 (/.f64 1 (.f64 x n)))
(.f64 (/.f64 1 (.f64 x n)) 1)
(pow.f64 (/.f64 1 (*.f64 x n)) 1)

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))
(+.f64 (/.f64 1 (*.f64 x n)) 0)
(/.f64 1 (*.f64 n x))
(+.f64 0 (/.f64 1 (*.f64 x n)))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (*.f64 x n)) 0)
(/.f64 1 (*.f64 n x))
(.f64 1 (/.f64 1 (.f64 x n)))
(/.f64 1 (*.f64 n x))
(.f64 (/.f64 1 (.f64 x n)) 1)
(/.f64 1 (*.f64 n x))
(pow.f64 (/.f64 1 (*.f64 x n)) 1)
(/.f64 1 (*.f64 n x))

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite101.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1276×	`rational_best-1`
1272×	`rational_best-2`
1230×	`rational_best-3`
868×	`rational_best-simplify-2`
842×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	53	28
2	109	28
3	193	28
4	381	28
5	1076	28
6	3444	28
7	4928	28
8	5765	28
9	7443	28

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify117.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1092×	`rational_best-simplify-44`
1014×	`rational_best-simplify-47`
1012×	`rational_best-simplify-2`
846×	`rational_best-simplify-1`
668×	`rational_best-simplify-54`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	118	1838
1	179	1468
2	239	1384
3	405	1384
4	923	1360
5	2492	1360
6	3617	1360
7	5381	1360
8	7781	1360

Stop Event

1×	node limit

Counts

78 → 79

Calls

Call 1

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

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x 2)
✓	0.0b	(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
✓	0.3b	(/.f64 1 (pow.f64 x 2))
✓	4.6b	(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)

Compiler

Compiled 49 to 38 computations (22.4% saved)

series4.0ms (0%)

Counts

4 → 15

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	n	@	0	(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
0.0ms	x	@	0	(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
0.0ms	n	@	inf	(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
0.0ms	n	@	-inf	(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
0.0ms	x	@	inf	(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)

rewrite79.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`rational_best-4`
982×	`rational_best-2`
982×	`rational_best-3`
982×	`rational_best-1`
982×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	88
1	83	88
2	146	88
3	259	88
4	506	88
5	1487	88
6	5056	88

Stop Event

1×	node limit

Counts

4 → 144

Calls

Call 1

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

Outputs
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simplify150.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1430×	`rational_best-simplify-2`
834×	`rational_best-simplify-56`
830×	`rational_best-simplify-53`
736×	`rational_best-simplify-1`
614×	`rational_best-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	255	5049
1	447	4587
2	922	4587
3	2603	4587
4	5733	4587
5	7514	4587

Stop Event

1×	node limit

Counts

159 → 167

Calls

Call 1

Inputs
(/.f64 -1/2 (*.f64 n (pow.f64 x 2)))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 -1/2 (pow.f64 x 2))
(/.f64 1 x)
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(.f64 (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (/.f64 -1 n) (*.f64 2 (/.f64 1 n))))
(.f64 (/.f64 (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n) 1)
(.f64 (/.f64 (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n) (/.f64 n n))
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(.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 -1 x)) (+.f64 (/.f64 1 n) (*.f64 (/.f64 -1 n) 2)))
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(.f64 (+.f64 (/.f64 -1 n) (.f64 2 (/.f64 1 n))) (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
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(pow.f64 (/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n) 1)
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(-.f64 (/.f64 1 (pow.f64 x 2)) 0)
(-.f64 0 (/.f64 -1 (pow.f64 x 2)))
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(.f64 1/2 (.f64 2 (/.f64 1 (pow.f64 x 2))))
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(*.f64 (/.f64 1 (pow.f64 x 2)) 1)
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(*.f64 -1 (/.f64 -1 (pow.f64 x 2)))
(*.f64 (/.f64 -1 (pow.f64 x 2)) -1)
(.f64 -1/2 (.f64 (/.f64 -1 (pow.f64 x 2)) 2))
(.f64 -2 (.f64 1/2 (/.f64 -1 (pow.f64 x 2))))
(.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2)
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(/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 -1 x)) -1)
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(*.f64 (pow.f64 x 2) (/.f64 n n))
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(/.f64 (pow.f64 x 2) 1)
(/.f64 (pow.f64 x 2) (/.f64 n n))
(/.f64 (neg.f64 (pow.f64 x 2)) -1)
(/.f64 (neg.f64 (pow.f64 x 2)) (/.f64 n (neg.f64 n)))
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(/.f64 (*.f64 (pow.f64 x 2) (neg.f64 n)) (neg.f64 n))
(/.f64 (.f64 (/.f64 n n) (.f64 (pow.f64 x 2) (neg.f64 n))) (neg.f64 n))
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(/.f64 (.f64 (pow.f64 x 2) (.f64 n n)) (.f64 (.f64 n n) (/.f64 n n)))
(/.f64 (.f64 (pow.f64 x 2) (.f64 n n)) (.f64 (.f64 n n) 1))
(/.f64 (.f64 (.f64 (pow.f64 x 2) n) (.f64 n n)) (.f64 (*.f64 n n) n))
(/.f64 (.f64 (.f64 (pow.f64 x 2) (neg.f64 n)) (.f64 n n)) (.f64 (*.f64 n n) (neg.f64 n)))
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(/.f64 (.f64 (.f64 (pow.f64 x 2) (neg.f64 n)) (neg.f64 n)) (*.f64 n n))
(neg.f64 (neg.f64 (pow.f64 x 2)))

Outputs
(/.f64 -1/2 (*.f64 n (pow.f64 x 2)))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
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(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.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 x) (*.f64 -1/2 (/.f64 -1 (pow.f64 x 2)))) n)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
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(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
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(/.f64 (-.f64 (/.f64 1 x) (*.f64 -1/2 (/.f64 -1 (pow.f64 x 2)))) n)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
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(/.f64 (/.f64 1 x) n)
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(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
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(/.f64 (-.f64 (/.f64 1 x) (*.f64 -1/2 (/.f64 -1 (pow.f64 x 2)))) n)
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(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
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(+.f64 (/.f64 1 x) (*.f64 -1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (*.f64 -1/2 (/.f64 -1 (pow.f64 x 2))))
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(+.f64 0 (pow.f64 x 2))
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(-.f64 0 (neg.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(*.f64 1 (pow.f64 x 2))
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) (/.f64 n n))
(pow.f64 x 2)
(*.f64 -1 (neg.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(*.f64 (/.f64 n n) (pow.f64 x 2))
(pow.f64 x 2)
(*.f64 (neg.f64 (pow.f64 x 2)) -1)
(pow.f64 x 2)
(/.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(/.f64 (pow.f64 x 2) (/.f64 n n))
(pow.f64 x 2)
(/.f64 (neg.f64 (pow.f64 x 2)) -1)
(pow.f64 x 2)
(/.f64 (neg.f64 (pow.f64 x 2)) (/.f64 n (neg.f64 n)))
(pow.f64 x 2)
(/.f64 (*.f64 (pow.f64 x 2) n) n)
(pow.f64 x 2)
(/.f64 (*.f64 (pow.f64 x 2) (neg.f64 n)) (neg.f64 n))
(pow.f64 x 2)
(/.f64 (.f64 (/.f64 n n) (.f64 (pow.f64 x 2) (neg.f64 n))) (neg.f64 n))
(pow.f64 x 2)
(/.f64 (.f64 n (.f64 (pow.f64 x 2) n)) (*.f64 n n))
(pow.f64 x 2)
(/.f64 (.f64 (neg.f64 n) (.f64 (pow.f64 x 2) n)) (*.f64 n (neg.f64 n)))
(pow.f64 x 2)
(/.f64 (-.f64 0 (*.f64 (pow.f64 x 2) n)) (neg.f64 n))
(pow.f64 x 2)
(/.f64 (-.f64 0 (*.f64 (pow.f64 x 2) (neg.f64 n))) n)
(pow.f64 x 2)
(/.f64 (.f64 (pow.f64 x 2) (.f64 n n)) (.f64 (.f64 n n) (/.f64 n n)))
(pow.f64 x 2)
(/.f64 (.f64 (pow.f64 x 2) (.f64 n n)) (.f64 (.f64 n n) 1))
(pow.f64 x 2)
(/.f64 (.f64 (.f64 (pow.f64 x 2) n) (.f64 n n)) (.f64 (*.f64 n n) n))
(pow.f64 x 2)
(/.f64 (.f64 (.f64 (pow.f64 x 2) (neg.f64 n)) (.f64 n n)) (.f64 (*.f64 n n) (neg.f64 n)))
(pow.f64 x 2)
(/.f64 (.f64 (.f64 (pow.f64 x 2) (neg.f64 n)) n) (*.f64 n (neg.f64 n)))
(pow.f64 x 2)
(/.f64 (.f64 (.f64 (pow.f64 x 2) (neg.f64 n)) (neg.f64 n)) (*.f64 n n))
(pow.f64 x 2)
(neg.f64 (neg.f64 (pow.f64 x 2)))
(pow.f64 x 2)

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(/.f64 1 (pow.f64 n 2))
✓	3.1b	(-.f64 (+.f64 1 (+.f64 (/.f64 x n) (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))))) (pow.f64 x (/.f64 1 n)))
✓	4.4b	(+.f64 (/.f64 x n) (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))))
✓	7.5b	(*.f64 (pow.f64 x 2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))

Compiler

Compiled 133 to 95 computations (28.6% saved)

series7.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(-.f64 (+.f64 1 (+.f64 (/.f64 x n) (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))))) (pow.f64 x (/.f64 1 n)))
0.0ms	n	@	-inf	(+.f64 (/.f64 x n) (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))))
0.0ms	n	@	0	(+.f64 (/.f64 x n) (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))))
0.0ms	n	@	inf	(-.f64 (+.f64 1 (+.f64 (/.f64 x n) (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))))) (pow.f64 x (/.f64 1 n)))
0.0ms	n	@	-inf	(-.f64 (+.f64 1 (+.f64 (/.f64 x n) (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))))) (pow.f64 x (/.f64 1 n)))

rewrite71.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1184×	`rational_best-4`
1184×	`rational_best-2`
1184×	`rational_best-3`
1184×	`rational_best-1`
1184×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	171
1	125	171
2	198	171
3	278	171
4	426	171
5	874	171
6	2278	171
7	5163	171

Stop Event

1×	node limit

Counts

3 → 47

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 1 n) (/.f64 -1 (pow.f64 n 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 1 n) (/.f64 -1 (pow.f64 n 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 1 n) (/.f64 -1 (pow.f64 n 2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (/.f64 x (neg.f64 n)) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (/.f64 x (neg.f64 n)) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x (neg.f64 n)) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 x (neg.f64 n)) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (/.f64 x (neg.f64 n)) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) -1/2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x n) (+.f64 (+.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) (neg.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) (-.f64 1 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2)))) (neg.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) (pow.f64 x (/.f64 1 n)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (-.f64 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 x n)) (+.f64 (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2)) (neg.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) (+.f64 (/.f64 x n) (neg.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2)) (+.f64 (+.f64 1 (/.f64 x n)) (neg.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) (pow.f64 x (/.f64 1 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (+.f64 1 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 x n) (neg.f64 (pow.f64 x (/.f64 1 n)))) (+.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 1 (/.f64 x n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) (neg.f64 (pow.f64 x (/.f64 1 n)))) (/.f64 x n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2)) (neg.f64 (pow.f64 x (/.f64 1 n)))) (+.f64 1 (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) (pow.f64 x (/.f64 1 n)))) (*.f64 2 (neg.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (neg.f64 (pow.f64 x (/.f64 1 n)))) (+.f64 1 (+.f64 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2)))) 2) (-.f64 -1 (+.f64 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) 2) (-.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) (pow.f64 x (/.f64 1 n)))) (*.f64 (+.f64 1 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (-.f64 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) (pow.f64 x (/.f64 1 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (-.f64 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) (pow.f64 x (/.f64 1 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (-.f64 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) (pow.f64 x (/.f64 1 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (+.f64 (/.f64 x n) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))))))))))

simplify237.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1148×	`rational_best-simplify-1`
946×	`rational_best-simplify-53`
870×	`rational_best-simplify-43`
852×	`rational_best-simplify-2`
738×	`rational_best-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	181	7103
1	330	7085
2	519	7085
3	817	7049
4	1375	7049
5	2281	7049
6	3135	7049
7	4040	7049
8	5643	7049
9	6584	7049

Stop Event

1×	node limit

Counts

119 → 125

Calls

Call 1

Inputs
(*.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))
(*.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))
(*.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))
(*.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))
(*.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))
(*.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))
(*.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))
(*.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))
(*.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))
(*.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))
(*.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))
(*.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (*.f64 -1 (/.f64 (pow.f64 x 2) n)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (*.f64 -1 (/.f64 (pow.f64 x 2) n)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (*.f64 -1 (/.f64 (pow.f64 x 2) n)))
(*.f64 -1 (/.f64 (pow.f64 x 2) n))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (*.f64 -1 (/.f64 (pow.f64 x 2) n)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (*.f64 -1 (/.f64 (pow.f64 x 2) n)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (*.f64 -1 (/.f64 (pow.f64 x 2) n)))
(*.f64 -1 (/.f64 (pow.f64 x 2) n))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (*.f64 -1 (/.f64 (pow.f64 x 2) n)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (*.f64 -1 (/.f64 (pow.f64 x 2) n)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (*.f64 -1 (/.f64 (pow.f64 x 2) n)))
(/.f64 x n)
(+.f64 (/.f64 x n) (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))))
(+.f64 (/.f64 x n) (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))))
(+.f64 (/.f64 x n) (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))))
(.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2)))
(+.f64 (/.f64 x n) (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))))
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(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)) (.f64 -1 (log.f64 x))) n)) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)) (.f64 -1 (log.f64 x))) n)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
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(/.f64 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 1 n) (/.f64 -1 (pow.f64 n 2)))) -1)
(pow.f64 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n))) 1)
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 1 n) (/.f64 -1 (pow.f64 n 2)))))
(-.f64 (+.f64 (/.f64 x n) (.f64 (pow.f64 x 2) (.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) 0)
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(.f64 (+.f64 (/.f64 x n) (.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) 1)
(.f64 -1 (+.f64 (/.f64 x (neg.f64 n)) (.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) -1/2))))
(.f64 (+.f64 (/.f64 x (neg.f64 n)) (.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) -1/2))) -1)
(/.f64 (+.f64 (/.f64 x n) (.f64 (pow.f64 x 2) (.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) 1)
(/.f64 (+.f64 (/.f64 x (neg.f64 n)) (.f64 (pow.f64 x 2) (.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) -1/2))) -1)
(pow.f64 (+.f64 (/.f64 x n) (.f64 (pow.f64 x 2) (.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) 1)
(neg.f64 (+.f64 (/.f64 x (neg.f64 n)) (.f64 (pow.f64 x 2) (.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) -1/2))))
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(.f64 (+.f64 1 (-.f64 (+.f64 (/.f64 x n) (.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) (pow.f64 x (/.f64 1 n)))) 1)
(.f64 -1 (-.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (+.f64 (/.f64 x n) (.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))))))
(.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (+.f64 (/.f64 x n) (.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))))) -1)
(/.f64 (+.f64 1 (-.f64 (+.f64 (/.f64 x n) (.f64 (pow.f64 x 2) (.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) (pow.f64 x (/.f64 1 n)))) 1)
(/.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (+.f64 (/.f64 x n) (.f64 (pow.f64 x 2) (.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))))) -1)
(pow.f64 (+.f64 1 (-.f64 (+.f64 (/.f64 x n) (.f64 (pow.f64 x 2) (.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))) (pow.f64 x (/.f64 1 n)))) 1)
(neg.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (+.f64 (/.f64 x n) (.f64 (pow.f64 x 2) (.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 -1 n)) 1/2))))))

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

eval213.0ms (0.7%)

Compiler: Compiled 13562 to 8959 computations (33.9% saved)

prune128.0ms (0.4%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	597	6	603
Fresh	1	7	8
Picked	1	0	1
Done	1	5	6
Total	600	18	618

Error

0.3b

Counts

618 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	24.3b	(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
	38.2b	(/.f64 (/.f64 1 x) n)
✓	39.0b	(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
	39.0b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))) n)
✓	16.4b	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
✓	42.9b	(/.f64 (-.f64 x (log.f64 x)) n)
▶	42.9b	(/.f64 (neg.f64 (log.f64 x)) n)
▶	61.2b	(/.f64 x n)
✓	38.7b	(/.f64 1 (*.f64 x n))
	59.4b	(-.f64 (+.f64 (/.f64 x n) (+.f64 (+.f64 1 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))))) (.f64 (-.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)))) (pow.f64 x (/.f64 1 n)))
▶	51.1b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	55.2b	(-.f64 (+.f64 1 (+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (pow.f64 x (/.f64 1 n)))
✓	44.9b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
▶	42.9b	(+.f64 (/.f64 x (neg.f64 n)) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (*.f64 (/.f64 x n) 2)))
	39.0b	(.f64 (/.f64 1 n) (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
	43.0b	(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
	38.6b	(.f64 (exp.f64 (.f64 (/.f64 (log.f64 (/.f64 1 x)) n) -2)) (/.f64 1 (.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n))))
	35.3b	0

Compiler

Compiled 501 to 378 computations (24.6% saved)

localize12.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.3b	(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))

Compiler

Compiled 33 to 20 computations (39.4% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
1.0ms	x	@	0	(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
1.0ms	x	@	inf	(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
0.0ms	n	@	inf	(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
0.0ms	n	@	0	(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))

rewrite80.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1602×	`rational_best-1`
1598×	`rational_best-2`
1086×	`rational_best-4`
1086×	`rational_best-3`
1086×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	68	31
2	100	31
3	136	31
4	209	31
5	480	31
6	1713	31
7	4496	31
8	7649	31

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify92.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1124×	`rational_best-simplify-2`
1072×	`rational_best-simplify-1`
966×	`rational_best-simplify-43`
958×	`rational_best-simplify-56`
530×	`rational_best-simplify-44`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	123	2921
1	212	2477
2	399	2477
3	1023	2477
4	3638	2477
5	5845	2477

Stop Event

1×	node limit

Counts

63 → 71

Calls

Call 1

Inputs
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(/.f64 1 (*.f64 n x))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (/.f64 1 (*.f64 n x)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (.f64 (pow.f64 n 3) x))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (/.f64 1 (*.f64 n x))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (.f64 (pow.f64 n 3) x))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (.f64 (pow.f64 n 4) x))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (/.f64 1 (*.f64 n x)))))
(/.f64 1 (*.f64 n x))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (/.f64 1 (*.f64 n x)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (.f64 (pow.f64 n 3) x))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (/.f64 1 (*.f64 n x))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (.f64 (pow.f64 n 3) x))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (.f64 (pow.f64 n 4) x))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (/.f64 1 (*.f64 n x)))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)) -1))
(+.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)) 0)
(+.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)) (.f64 (.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)) 2) 0))
(+.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)) (.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)) 0))
(+.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)) (/.f64 0 (.f64 (.f64 x n) (.f64 x n))))
(+.f64 0 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)))
(+.f64 (.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)) 2) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x (neg.f64 n))))
(+.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x (neg.f64 n))) (.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)) 2))
(+.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x (neg.f64 n))) (/.f64 (.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) 2) (*.f64 x n)))
(+.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x (neg.f64 n))) (/.f64 (.f64 (neg.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n))) 2) (*.f64 x (neg.f64 n))))
(+.f64 (.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)) -2) (.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)) 3))
(+.f64 (.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)) 3) (.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)) -2))
(+.f64 (.f64 (.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)) 2) 0) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)))
(+.f64 (.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)) 0) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)))
(+.f64 (/.f64 0 (.f64 (.f64 x n) (.f64 x n))) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)))
(+.f64 (+.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)) 1) -1)
(+.f64 (+.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)) -1) 1)
(+.f64 (/.f64 (/.f64 0 (.f64 (.f64 x n) (.f64 x n))) -1) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)))
(+.f64 (/.f64 (/.f64 0 (.f64 (.f64 x n) (.f64 x n))) (.f64 x n)) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)))
(+.f64 (/.f64 (/.f64 0 (.f64 (.f64 x n) (.f64 x n))) (.f64 x (neg.f64 n))) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)))
(+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x (neg.f64 n))) -1) -1) -1)
(-.f64 1 (-.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))))
(-.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)) 1) -1))
(-.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)) 0)
(-.f64 0 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x (neg.f64 n))))
(-.f64 (+.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)) 1) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)) -1) -1)
(.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)))
(.f64 -1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x (neg.f64 n))))
(.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (/.f64 1 (.f64 x n)))
(.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)) 1)
(.f64 (/.f64 1 (.f64 x n)) (pow.f64 (/.f64 1 x) (/.f64 -1 n)))
(.f64 (neg.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n))) (/.f64 -1 (.f64 x n)))
(.f64 (neg.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n))) (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 -1 (.f64 x n)) 2)))
(.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x (neg.f64 n))) -1)
(.f64 (/.f64 -1 (.f64 x n)) (neg.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n))))
(.f64 (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 -1 (.f64 x n)) 2)) (neg.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n))))
(pow.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)) 1)
(neg.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x (neg.f64 n))))

Outputs
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 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 (log.f64 (/.f64 1 x)) n))) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 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 (log.f64 (/.f64 1 x)) n))) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 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 (log.f64 (/.f64 1 x)) n))) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (.f64 n x))
(/.f64 (exp.f64 (neg.f64 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 n))) (*.f64 x n))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (.f64 n x))
(/.f64 (exp.f64 (neg.f64 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 n))) (*.f64 x n))
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(/.f64 (exp.f64 (neg.f64 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 n))) (*.f64 x n))
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(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 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 (log.f64 (/.f64 1 x)) n))) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))
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(/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
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(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
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(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
(+.f64 (+.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)) -1) 1)
(+.f64 -1 (+.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))))
(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
(+.f64 (/.f64 (/.f64 0 (.f64 (.f64 x n) (.f64 x n))) -1) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)))
(+.f64 -1 (+.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))))
(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
(+.f64 (/.f64 (/.f64 0 (.f64 (.f64 x n) (.f64 x n))) (.f64 x n)) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)))
(+.f64 -1 (+.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))))
(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
(+.f64 (/.f64 (/.f64 0 (.f64 (.f64 x n) (.f64 x n))) (.f64 x (neg.f64 n))) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)))
(+.f64 -1 (+.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))))
(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
(+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x (neg.f64 n))) -1) -1) -1)
(+.f64 -1 (+.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))))
(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
(-.f64 1 (-.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))))
(+.f64 -1 (+.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))))
(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
(-.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)) 1) -1))
(+.f64 -1 (+.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))))
(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
(-.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)) 0)
(+.f64 -1 (+.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))))
(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
(-.f64 0 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x (neg.f64 n))))
(+.f64 -1 (+.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))))
(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
(-.f64 (+.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)) 1) 1)
(+.f64 -1 (+.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))))
(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
(-.f64 (+.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)) -1) -1)
(+.f64 -1 (+.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))))
(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
(.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)))
(+.f64 -1 (+.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))))
(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
(.f64 -1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x (neg.f64 n))))
(+.f64 -1 (+.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))))
(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
(.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (/.f64 1 (.f64 x n)))
(+.f64 -1 (+.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))))
(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
(.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)) 1)
(+.f64 -1 (+.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))))
(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
(.f64 (/.f64 1 (.f64 x n)) (pow.f64 (/.f64 1 x) (/.f64 -1 n)))
(+.f64 -1 (+.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))))
(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
(.f64 (neg.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n))) (/.f64 -1 (.f64 x n)))
(+.f64 -1 (+.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))))
(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
(.f64 (neg.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n))) (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 -1 (.f64 x n)) 2)))
(.f64 (neg.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n))) (+.f64 (/.f64 1 (.f64 x n)) (.f64 2 (/.f64 -1 (.f64 x n)))))
(.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (neg.f64 (+.f64 (/.f64 1 (.f64 x n)) (.f64 2 (/.f64 -1 (.f64 x n))))))
(.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (neg.f64 (+.f64 (.f64 2 (/.f64 -1 (.f64 x n))) (/.f64 1 (.f64 x n)))))
(.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x (neg.f64 n))) -1)
(+.f64 -1 (+.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))))
(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
(.f64 (/.f64 -1 (.f64 x n)) (neg.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n))))
(+.f64 -1 (+.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))))
(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
(.f64 (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 -1 (.f64 x n)) 2)) (neg.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n))))
(.f64 (neg.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n))) (+.f64 (/.f64 1 (.f64 x n)) (.f64 2 (/.f64 -1 (.f64 x n)))))
(.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (neg.f64 (+.f64 (/.f64 1 (.f64 x n)) (.f64 2 (/.f64 -1 (.f64 x n))))))
(.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (neg.f64 (+.f64 (.f64 2 (/.f64 -1 (.f64 x n))) (/.f64 1 (.f64 x n)))))
(pow.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)) 1)
(+.f64 -1 (+.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))))
(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
(neg.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x (neg.f64 n))))
(+.f64 -1 (+.f64 1 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))))
(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))

localize3.0ms (0%)

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

localize7.0ms (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)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite71.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`rational_best-2`
942×	`rational_best-1`
898×	`rational_best-4`
898×	`rational_best-3`
888×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	54	15
2	108	15
3	188	15
4	321	15
5	931	15
6	2610	15
7	4724	15
8	6130	15

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify123.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1490×	`rational_best-simplify-52`
1254×	`rational_best-simplify-2`
1002×	`rational_best-simplify-1`
850×	`rational_best-simplify-88`
680×	`rational_best-simplify-53`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	64	825
1	89	825
2	115	825
3	159	825
4	228	825
5	337	809
6	458	809
7	605	809
8	912	809
9	1390	809
10	2445	809
11	3493	809
12	3995	809
13	6484	809

Stop Event

1×	node limit

Counts

49 → 31

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

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

localize12.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 x n) 1)
✓	3.7b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 32 to 17 computations (46.9% saved)

series2.0ms (0%)

Counts

2 → 39

Calls

12 calls:

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

rewrite64.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1348×	`rational_best-simplify-44`
1168×	`rational_best-simplify-47`
1102×	`rational_best-4`
1102×	`rational_best-2`
1102×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	62	44
2	97	44
3	150	44
4	267	44
5	665	44
6	2068	44
7	5299	44

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 x n) 1) (neg.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (+.f64 (/.f64 x n) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x n) 2) (-.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 x n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 2) (+.f64 1 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) 2) (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 1 (/.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 x n) 1) 2) (-.f64 -1 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) (*.f64 (+.f64 (/.f64 x n) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 1 (/.f64 x n))) (*.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (-.f64 1 (pow.f64 x (/.f64 1 n)))) (-.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 -1 (/.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 -1 (/.f64 x n))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 -1 (/.f64 x n))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 -1 (/.f64 x n))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x n) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 x (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x n) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 -1 (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 x n) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x n) 1) 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 (/.f64 x n) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (/.f64 x n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 x n) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 -1 (/.f64 x n)))))))

simplify265.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1178×	`rational_best-simplify-2`
1058×	`rational_best-simplify-1`
702×	`rational_best-simplify-52`
602×	`rational_best-simplify-57`
548×	`rational_best-simplify-49`

Iterations

Useful iterations: 11 (0.0ms)

Iter	Nodes	Cost
0	127	2331
1	211	2331
2	328	2331
3	481	2331
4	706	2331
5	1145	2331
6	1594	2295
7	2135	2295
8	4005	2295
9	5123	2295
10	6093	2295
11	7235	2247
12	7939	2247

Stop Event

1×	node limit

Counts

77 → 74

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) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 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))))))
1
(/.f64 x n)
(+.f64 1 (/.f64 x n))
(+.f64 1 (/.f64 x n))
(+.f64 1 (/.f64 x n))
(/.f64 x n)
(+.f64 1 (/.f64 x n))
(+.f64 1 (/.f64 x n))
(+.f64 1 (/.f64 x n))
(/.f64 x n)
(+.f64 1 (/.f64 x n))
(+.f64 1 (/.f64 x n))
(+.f64 1 (/.f64 x n))
1
1
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))))
(+.f64 (+.f64 (/.f64 x n) 1) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) 0)
(+.f64 0 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))
(+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) 1)
(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (+.f64 (/.f64 x n) 1))
(+.f64 (*.f64 (/.f64 x n) 2) (-.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 x n)))
(+.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 x n))
(+.f64 2 (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) -1))
(+.f64 (+.f64 1 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 2))
(+.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 2) (+.f64 1 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))
(+.f64 (*.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) 2) (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 1 (/.f64 x n))))
(+.f64 (*.f64 (+.f64 (/.f64 x n) 1) 2) (-.f64 -1 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))
(+.f64 (-.f64 -1 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) (*.f64 (+.f64 (/.f64 x n) 1) 2))
(+.f64 (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) -1) 2)
(+.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 1 (/.f64 x n))) (*.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) 2))
(+.f64 (+.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (-.f64 1 (pow.f64 x (/.f64 1 n)))) (-.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(*.f64 1 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))
(*.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) 1)
(*.f64 -1 (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 -1 (/.f64 x n))))
(*.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 -1 (/.f64 x n))) -1)
(/.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) 1)
(/.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 -1 (/.f64 x n))) -1)
(pow.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) 1)
(neg.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 -1 (/.f64 x n))))
(-.f64 (/.f64 x n) -1)
(-.f64 1 (/.f64 x (neg.f64 n)))
(-.f64 (+.f64 (/.f64 x n) 1) 0)
(-.f64 0 (-.f64 -1 (/.f64 x n)))
(*.f64 1 (+.f64 (/.f64 x n) 1))
(*.f64 (+.f64 (/.f64 x n) 1) 1)
(*.f64 -1 (-.f64 -1 (/.f64 x n)))
(*.f64 (-.f64 -1 (/.f64 x n)) -1)
(/.f64 (+.f64 (/.f64 x n) 1) 1)
(/.f64 (-.f64 -1 (/.f64 x n)) -1)
(pow.f64 (+.f64 (/.f64 x n) 1) 1)
(neg.f64 (-.f64 -1 (/.f64 x n)))

Outputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.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 (+.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 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 (log.f64 (/.f64 1 x)) n))))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 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 (log.f64 (/.f64 1 x)) n))))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 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 (log.f64 (/.f64 1 x)) n))))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 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 (neg.f64 (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 (neg.f64 (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 (neg.f64 (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 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 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 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 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 (/.f64 x n) (+.f64 (+.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 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.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 (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))) (/.f64 (log.f64 x) n))
(-.f64 (+.f64 (+.f64 (/.f64 x n) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n))
(+.f64 (+.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 x (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 (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (/.f64 (-.f64 x (log.f64 x)) n))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (.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 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) (pow.f64 n 2)))) (/.f64 (log.f64 x) n))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 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) (+.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 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 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 (/.f64 x n) (+.f64 (+.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 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.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 (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))) (/.f64 (log.f64 x) n))
(-.f64 (+.f64 (+.f64 (/.f64 x n) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n))
(+.f64 (+.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 x (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 (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (/.f64 (-.f64 x (log.f64 x)) n))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (.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 x (log.f64 x)) n))))
1
(/.f64 x n)
(+.f64 1 (/.f64 x n))
(+.f64 1 (/.f64 x n))
(+.f64 1 (/.f64 x n))
(/.f64 x n)
(+.f64 1 (/.f64 x n))
(+.f64 1 (/.f64 x n))
(+.f64 1 (/.f64 x n))
(/.f64 x n)
(+.f64 1 (/.f64 x n))
(+.f64 1 (/.f64 x n))
(+.f64 1 (/.f64 x n))
1
1
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 (/.f64 x n) (+.f64 -1 (pow.f64 x (/.f64 1 n))))
(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))))
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 (/.f64 x n) (+.f64 -1 (pow.f64 x (/.f64 1 n))))
(+.f64 (+.f64 (/.f64 x n) 1) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 (/.f64 x n) (+.f64 -1 (pow.f64 x (/.f64 1 n))))
(+.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) 0)
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 (/.f64 x n) (+.f64 -1 (pow.f64 x (/.f64 1 n))))
(+.f64 0 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 (/.f64 x n) (+.f64 -1 (pow.f64 x (/.f64 1 n))))
(+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) 1)
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 (/.f64 x n) (+.f64 -1 (pow.f64 x (/.f64 1 n))))
(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (+.f64 (/.f64 x n) 1))
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 (/.f64 x n) (+.f64 -1 (pow.f64 x (/.f64 1 n))))
(+.f64 (*.f64 (/.f64 x n) 2) (-.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 x n)))
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 (/.f64 x n) (+.f64 -1 (pow.f64 x (/.f64 1 n))))
(+.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 x n))
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 (/.f64 x n) (+.f64 -1 (pow.f64 x (/.f64 1 n))))
(+.f64 2 (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) -1))
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 (/.f64 x n) (+.f64 -1 (pow.f64 x (/.f64 1 n))))
(+.f64 (+.f64 1 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 2))
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 (/.f64 x n) (+.f64 -1 (pow.f64 x (/.f64 1 n))))
(+.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 2) (+.f64 1 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 (/.f64 x n) (+.f64 -1 (pow.f64 x (/.f64 1 n))))
(+.f64 (*.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) 2) (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 1 (/.f64 x n))))
(+.f64 (*.f64 2 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 1 (/.f64 x n))))
(+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (*.f64 2 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) (-.f64 1 (/.f64 x n))))
(+.f64 (*.f64 2 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) (+.f64 1 (-.f64 (pow.f64 x (/.f64 1 n)) (/.f64 x n))))
(+.f64 (*.f64 (+.f64 (/.f64 x n) 1) 2) (-.f64 -1 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))
(+.f64 (*.f64 (+.f64 1 (/.f64 x n)) 2) (-.f64 -1 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))
(+.f64 (-.f64 (*.f64 (/.f64 x n) 2) -2) (-.f64 -1 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))
(+.f64 (+.f64 (/.f64 (+.f64 x x) n) 2) (-.f64 -1 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))
(+.f64 (+.f64 2 (/.f64 (+.f64 x x) n)) (-.f64 -1 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(+.f64 (-.f64 -1 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) (*.f64 (+.f64 (/.f64 x n) 1) 2))
(+.f64 (*.f64 (+.f64 1 (/.f64 x n)) 2) (-.f64 -1 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))
(+.f64 (-.f64 (*.f64 (/.f64 x n) 2) -2) (-.f64 -1 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))
(+.f64 (+.f64 (/.f64 (+.f64 x x) n) 2) (-.f64 -1 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))
(+.f64 (+.f64 2 (/.f64 (+.f64 x x) n)) (-.f64 -1 (+.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(+.f64 (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) -1) 2)
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 (/.f64 x n) (+.f64 -1 (pow.f64 x (/.f64 1 n))))
(+.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 1 (/.f64 x n))) (*.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) 2))
(+.f64 (*.f64 2 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 1 (/.f64 x n))))
(+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (*.f64 2 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) (-.f64 1 (/.f64 x n))))
(+.f64 (*.f64 2 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) (+.f64 1 (-.f64 (pow.f64 x (/.f64 1 n)) (/.f64 x n))))
(+.f64 (+.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (-.f64 1 (pow.f64 x (/.f64 1 n)))) (-.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 (/.f64 x n) (+.f64 -1 (pow.f64 x (/.f64 1 n))))
(*.f64 1 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 (/.f64 x n) (+.f64 -1 (pow.f64 x (/.f64 1 n))))
(*.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) 1)
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 (/.f64 x n) (+.f64 -1 (pow.f64 x (/.f64 1 n))))
(*.f64 -1 (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 -1 (/.f64 x n))))
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 (/.f64 x n) (+.f64 -1 (pow.f64 x (/.f64 1 n))))
(*.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 -1 (/.f64 x n))) -1)
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 (/.f64 x n) (+.f64 -1 (pow.f64 x (/.f64 1 n))))
(/.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) 1)
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 (/.f64 x n) (+.f64 -1 (pow.f64 x (/.f64 1 n))))
(/.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 -1 (/.f64 x n))) -1)
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 (/.f64 x n) (+.f64 -1 (pow.f64 x (/.f64 1 n))))
(pow.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) 1)
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 (/.f64 x n) (+.f64 -1 (pow.f64 x (/.f64 1 n))))
(neg.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 -1 (/.f64 x n))))
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 (/.f64 x n) (+.f64 -1 (pow.f64 x (/.f64 1 n))))
(-.f64 (/.f64 x n) -1)
(+.f64 1 (/.f64 x n))
(-.f64 1 (/.f64 x (neg.f64 n)))
(+.f64 1 (/.f64 x n))
(-.f64 (+.f64 (/.f64 x n) 1) 0)
(+.f64 1 (/.f64 x n))
(-.f64 0 (-.f64 -1 (/.f64 x n)))
(+.f64 1 (/.f64 x n))
(*.f64 1 (+.f64 (/.f64 x n) 1))
(+.f64 1 (/.f64 x n))
(*.f64 (+.f64 (/.f64 x n) 1) 1)
(+.f64 1 (/.f64 x n))
(*.f64 -1 (-.f64 -1 (/.f64 x n)))
(+.f64 1 (/.f64 x n))
(*.f64 (-.f64 -1 (/.f64 x n)) -1)
(+.f64 1 (/.f64 x n))
(/.f64 (+.f64 (/.f64 x n) 1) 1)
(+.f64 1 (/.f64 x n))
(/.f64 (-.f64 -1 (/.f64 x n)) -1)
(+.f64 1 (/.f64 x n))
(pow.f64 (+.f64 (/.f64 x n) 1) 1)
(+.f64 1 (/.f64 x n))
(neg.f64 (-.f64 -1 (/.f64 x n)))
(+.f64 1 (/.f64 x n))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (/.f64 x n) 2)
✓	0.0b	(+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (*.f64 (/.f64 x n) 2))
✓	0.3b	(/.f64 (log.f64 x) (neg.f64 n))
✓	5.5b	(+.f64 (/.f64 x (neg.f64 n)) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (*.f64 (/.f64 x n) 2)))

Compiler

Compiled 53 to 17 computations (67.9% saved)

series5.0ms (0%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	n	@	0	(+.f64 (/.f64 x (neg.f64 n)) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (*.f64 (/.f64 x n) 2)))
0.0ms	n	@	inf	(+.f64 (/.f64 x (neg.f64 n)) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (*.f64 (/.f64 x n) 2)))
0.0ms	x	@	inf	(+.f64 (/.f64 x (neg.f64 n)) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (*.f64 (/.f64 x n) 2)))
0.0ms	n	@	-inf	(+.f64 (/.f64 x (neg.f64 n)) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (*.f64 (/.f64 x n) 2)))
0.0ms	x	@	-inf	(*.f64 (/.f64 x n) 2)

rewrite103.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1372×	`rational_best-1`
1368×	`rational_best-2`
1334×	`rational_best-4`
1334×	`rational_best-3`
1290×	`rational_best-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	110
1	95	110
2	171	110
3	252	106
4	398	88
5	1033	88
6	3064	88
7	5574	88
8	6686	88
9	7541	88

Stop Event

1×	node limit

Counts

4 → 75

Calls

Call 1

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

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

simplify273.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1450×	`rational_best-simplify-2`
1116×	`rational_best-simplify-54`
958×	`rational_best-simplify-1`
906×	`exponential-simplify-29`
824×	`rational_best-simplify-44`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	163	3809
1	289	3647
2	454	3621
3	728	3441
4	1482	3425
5	2480	3385
6	3148	3373
7	3730	3373
8	4436	3373
9	4961	3373
10	6002	3373
11	6842	3373
12	7186	3373
13	7809	3373

Stop Event

1×	node limit

Counts

171 → 123

Calls

Call 1

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

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

eval72.0ms (0.3%)

Compiler: Compiled 5255 to 2760 computations (47.5% saved)

prune58.0ms (0.2%)

Pruning

22 alts after pruning (12 fresh and 10 done)

	Pruned	Kept	Total
New	294	5	299
Fresh	1	7	8
Picked	0	1	1
Done	0	9	9
Total	295	22	317

Error

0.3b

Counts

317 → 22

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.3b	(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
	38.2b	(/.f64 (/.f64 1 x) n)
✓	39.0b	(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
	39.0b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))) n)
✓	16.4b	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
✓	42.9b	(/.f64 (-.f64 x (log.f64 x)) n)
✓	42.9b	(/.f64 (neg.f64 (log.f64 x)) n)
✓	61.2b	(/.f64 x n)
✓	38.7b	(/.f64 1 (*.f64 x n))
	59.4b	(-.f64 (+.f64 (/.f64 x n) (+.f64 (+.f64 1 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))))) (.f64 (-.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)))) (pow.f64 x (/.f64 1 n)))
✓	51.1b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	55.2b	(-.f64 (+.f64 1 (+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (pow.f64 x (/.f64 1 n)))
✓	44.9b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
✓	42.9b	(+.f64 (/.f64 x (neg.f64 n)) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (*.f64 (/.f64 x n) 2)))
	61.2b	(+.f64 (/.f64 x (neg.f64 n)) (*.f64 x (/.f64 2 n)))
	24.3b	(+.f64 (.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)) 3) (.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)) -2))
	43.0b	(+.f64 (.f64 (/.f64 (log.f64 x) n) 3) (.f64 (*.f64 (/.f64 (log.f64 x) n) -2) 2))
	43.1b	(+.f64 (.f64 (/.f64 (log.f64 x) n) 2) (.f64 (/.f64 (log.f64 x) n) -3))
	39.0b	(.f64 (/.f64 1 n) (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
	42.9b	(*.f64 (/.f64 -1 n) (log.f64 x))
	38.6b	(.f64 (exp.f64 (.f64 (/.f64 (log.f64 (/.f64 1 x)) n) -2)) (/.f64 1 (.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n))))
	35.3b	0

Compiler

Compiled 348 to 256 computations (26.4% saved)

regimes130.0ms (0.5%)

Counts

30 → 2

Calls

Call 1

Inputs
0
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 x) n)
(+.f64 (/.f64 x (neg.f64 n)) (*.f64 x (/.f64 2 n)))
(/.f64 (neg.f64 (log.f64 x)) n)
(*.f64 (/.f64 -1 n) (log.f64 x))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
(/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(.f64 (/.f64 1 n) (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 x (neg.f64 n)) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (*.f64 (/.f64 x n) 2)))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(*.f64 (/.f64 1 n) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))
(+.f64 (.f64 (/.f64 (log.f64 x) n) 2) (.f64 (/.f64 (log.f64 x) n) -3))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(+.f64 (.f64 (/.f64 (log.f64 x) n) 3) (.f64 (*.f64 (/.f64 (log.f64 x) n) -2) 2))
(+.f64 (.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)) 3) (.f64 (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)) -2))
(+.f64 (/.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (*.f64 (/.f64 (log.f64 x) n) -2))
(-.f64 (+.f64 1 (+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (pow.f64 x (/.f64 1 n)))
(.f64 (exp.f64 (.f64 (/.f64 (log.f64 (/.f64 1 x)) n) -2)) (/.f64 1 (.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n))))
(-.f64 (+.f64 1 (+.f64 (/.f64 x n) (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))))) (pow.f64 x (/.f64 1 n)))
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))) n)
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (.f64 x n)) (.f64 (*.f64 1/2 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 x n) (+.f64 (+.f64 1 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))))) (.f64 (-.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)))) (pow.f64 x (/.f64 1 n)))
(+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (.f64 x n)) (.f64 (-.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (pow.f64 x 3)))) (.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (+.f64 (/.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.f64 1/4 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))))) (pow.f64 x 4)) (.f64 1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))))))

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

Calls

4 calls:

47.0ms	n
39.0ms	(/.f64 1 n)
25.0ms	x
4.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
5.4b	2	`x`
10.7b	4	`n`
12.2b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
11.1b	3	`(/.f64 1 n)`

Compiler

Compiled 560 to 374 computations (33.2% saved)

bsearch33.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	0.24155206988768382	1.3386333941440869

Results

13.0ms	36×	body	1024	valid
7.0ms	44×	body	256	valid
5.0ms	25×	body	256	infinite
3.0ms	4×	body	2048	valid
3.0ms	12×	body	512	valid
1.0ms	5×	body	256	unsamplable

Compiler

Compiled 176 to 129 computations (26.7% saved)

regimes134.0ms (0.5%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

3 calls:

60.0ms	n
55.0ms	(/.f64 1 n)
15.0ms	x

Results

Error	Segments	Branch
5.6b	2	`x`
14.4b	9	`n`
14.4b	8	`(/.f64 1 n)`

Compiler

Compiled 135 to 79 computations (41.5% saved)

bsearch87.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
87.0ms	0.24155206988768382	1.3386333941440869

Results

17.0ms	44×	body	1024	valid
6.0ms	10×	body	2048	valid
5.0ms	28×	body	256	infinite
5.0ms	30×	body	256	valid
3.0ms	12×	body	512	valid
0.0ms	1×	body	256	unsamplable

Compiler

Compiled 218 to 147 computations (32.6% saved)

regimes195.0ms (0.7%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

3 calls:

118.0ms	(/.f64 1 n)
60.0ms	n
14.0ms	x

Results

Error	Segments	Branch
5.6b	2	`x`
14.4b	9	`n`
14.4b	8	`(/.f64 1 n)`

Compiler

Compiled 119 to 74 computations (37.8% saved)

bsearch37.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
36.0ms	0.24155206988768382	1.3386333941440869

Results

21.0ms	55×	body	1024	valid
5.0ms	20×	body	512	valid
4.0ms	20×	body	256	infinite
3.0ms	17×	body	256	valid
2.0ms	4×	body	2048	valid
1.0ms	5×	body	256	unsamplable

Compiler

Compiled 158 to 111 computations (29.7% saved)

regimes222.0ms (0.8%)

Counts

11 → 3

Calls

Call 1

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

Outputs
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (/.f64 1 x) n)
0

Calls

3 calls:

106.0ms	n
95.0ms	(/.f64 1 n)
17.0ms	x

Results

Error	Segments	Branch
14.3b	3	`x`
15.2b	9	`n`
15.2b	8	`(/.f64 1 n)`

Compiler

Compiled 80 to 46 computations (42.5% saved)

bsearch94.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
59.0ms	5.149626223274465e+125	8.285453946912658e+125
35.0ms	0.24155206988768382	1.3386333941440869

Results

49.0ms	35×	body	2048	valid
27.0ms	71×	body	1024	valid
6.0ms	39×	body	256	valid
5.0ms	26×	body	256	infinite
4.0ms	15×	body	512	valid
1.0ms	6×	body	256	unsamplable

Compiler

Compiled 170 to 127 computations (25.3% saved)

regimes42.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

Inputs
0
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 x) n)
(+.f64 (/.f64 x (neg.f64 n)) (*.f64 x (/.f64 2 n)))
(/.f64 (neg.f64 (log.f64 x)) n)
(*.f64 (/.f64 -1 n) (log.f64 x))

Outputs
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (/.f64 1 x) n)
0

Calls

2 calls:

27.0ms	n
13.0ms	x

Results

Error	Segments	Branch
14.6b	3	`x`
20.9b	6	`n`

Compiler

Compiled 43 to 26 computations (39.5% saved)

bsearch355.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
323.0ms	5.149626223274465e+125	8.285453946912658e+125
33.0ms	1.3386333941440869	266.7493929697323

Results

313.0ms	34×	body	2048	valid
21.0ms	56×	body	1024	valid
12.0ms	71×	body	256	valid
4.0ms	15×	body	512	valid
2.0ms	8×	body	256	unsamplable
0.0ms	1×	body	512	infinite
0.0ms	1×	body	256	infinite

Compiler

Compiled 180 to 139 computations (22.8% saved)

regimes63.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

Inputs
0
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 x) n)
(+.f64 (/.f64 x (neg.f64 n)) (*.f64 x (/.f64 2 n)))

Outputs
(/.f64 (/.f64 1 x) n)
0
(/.f64 (/.f64 1 x) n)

Calls

2 calls:

54.0ms	n
7.0ms	x

Results

Error	Segments	Branch
32.9b	2	`x`
24.4b	3	`n`

Compiler

Compiled 32 to 20 computations (37.5% saved)

bsearch656.0ms (2.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
497.0ms	1.9103855206308396e-50	1.0088292722905873e-23
159.0ms	-227298.3289613275	-21.14320069217379

Results

285.0ms	16×	body	256	infinite
172.0ms	312×	body	256	unsamplable
126.0ms	25×	body	512	valid
46.0ms	235×	body	256	valid
17.0ms	38×	body	1024	valid
5.0ms	6×	body	2048	valid

Compiler

Compiled 248 to 205 computations (17.3% saved)

regimes38.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
0
(/.f64 x n)
(/.f64 1 (*.f64 x n))

Outputs
(/.f64 1 (*.f64 x n))
0
(/.f64 1 (*.f64 x n))

Calls

2 calls:

30.0ms	n
7.0ms	x

Results

Error	Segments	Branch
33.2b	2	`x`
24.9b	3	`n`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch145.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
101.0ms	1.9103855206308396e-50	1.0088292722905873e-23
44.0ms	-227298.3289613275	-21.14320069217379

Results

56.0ms	313×	body	256	unsamplable
45.0ms	225×	body	256	valid
18.0ms	40×	body	1024	valid
9.0ms	9×	body	2048	valid
8.0ms	30×	body	512	valid
4.0ms	22×	body	256	infinite

Compiler

Compiled 248 to 205 computations (17.3% saved)

regimes8.0ms (0%)

Accuracy

Total -26.3b remaining (-74.5%)

Threshold costs -26.3b (-74.5%)

Counts

2 → 1

Calls

Call 1

Inputs
0
(/.f64 x n)

Outputs
0

Calls

2 calls:

5.0ms	x
3.0ms	n

Results

Error	Segments	Branch
35.3b	1	`x`
35.3b	1	`n`

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	400

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x 5944751508129055/4503599627370496) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)))
(if (<=.f64 x 1) (+.f64 (/.f64 x (neg.f64 n)) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (.f64 (/.f64 x n) 2))) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)))
(if (<=.f64 x 1) (/.f64 (-.f64 x (log.f64 x)) n) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)))
(if (<=.f64 x 1) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 619999999999999998510029793033184841855723397652870771705425041819423921564978329912374648333429059828969405204025528228511744) (/.f64 (/.f64 1 x) n) 0))
(if (<=.f64 x 3039929748475085/2251799813685248) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 609999999999999976715343382214457033691262959776886924284480312577300220775227072937136372295559826039943720126109423799107584) (/.f64 (/.f64 1 x) n) 0))
(if (<=.f64 n -22) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 2961908203178171/13164036458569648337239753460458804039861886925068638906788872192) 0 (/.f64 (/.f64 1 x) n)))
(if (<=.f64 n -43/2) (/.f64 1 (.f64 x n)) (if (<=.f64 n 8214358750147461/52656145834278593348959013841835216159447547700274555627155488768) 0 (/.f64 1 (.f64 x n))))
0

Outputs
(if (<=.f64 x 5944751508129055/4503599627370496) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)))
(if (<=.f64 x 1) (+.f64 (/.f64 x (neg.f64 n)) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (.f64 (/.f64 x n) 2))) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (.f64 x n)))
(if (<=.f64 x 1) (/.f64 (-.f64 x (log.f64 x)) n) (/.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)) (*.f64 x n)))
(if (<=.f64 x 1) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 619999999999999998510029793033184841855723397652870771705425041819423921564978329912374648333429059828969405204025528228511744) (/.f64 (/.f64 1 x) n) 0))
(if (<=.f64 x 3039929748475085/2251799813685248) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 609999999999999976715343382214457033691262959776886924284480312577300220775227072937136372295559826039943720126109423799107584) (/.f64 (/.f64 1 x) n) 0))
(if (<=.f64 n -22) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 2961908203178171/13164036458569648337239753460458804039861886925068638906788872192) 0 (/.f64 (/.f64 1 x) n)))
(if (<=.f64 n -43/2) (/.f64 1 (.f64 x n)) (if (<=.f64 n 8214358750147461/52656145834278593348959013841835216159447547700274555627155488768) 0 (/.f64 1 (.f64 x n))))
0

Compiler

Compiled 170 to 116 computations (31.8% saved)

soundness487.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

1666×	`rational_best-simplify-1`
1372×	`rational_best-simplify-44`
1208×	`rational_best-simplify-2`
1198×	`rational_best-simplify-47`
1044×	`rational_best-simplify-42`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	329	9354
1	575	9344
2	1059	8894
3	1873	8740
4	3543	8618
5	6113	8618
6	6843	8618
7	7428	8618
8	7554	8618
9	7653	8618
0	172	4546
1	276	4546
2	467	4546
3	1024	4546
4	3202	4208
5	6028	4208

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 236 to 149 computations (36.9% saved)

end428.0ms (1.5%)

Compiler: Compiled 156 to 93 computations (40.4% saved)