Details

analyze278.0ms (1.5%)

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)

sample8.6s (47.3%)

Results

2.5s	2750×	body	1024	valid
1.7s	1512×	body	1024	invalid
1.6s	1768×	body	2048	valid
613.0ms	1252×	body	512	valid
577.0ms	2486×	body	256	valid
421.0ms	783×	body	512	invalid
353.0ms	171×	body	1024	infinite
272.0ms	797×	body	256	infinite
225.0ms	1262×	body	256	invalid
131.0ms	332×	body	256	unsamplable
127.0ms	232×	body	512	infinite
8.0ms	8×	body	2048	invalid

Bogosity

preprocess57.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1032×	`rational_best-simplify-96`
1012×	`rational_best-simplify-65`
984×	`rational_best-simplify-61`
628×	`rational_best-simplify-3`
592×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	83	74
2	465	74
3	3022	74
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify42.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

588×	`rational_best-simplify-126`
588×	`rational_best-simplify-124`
524×	`rational_best-simplify-65`
524×	`rational_best-simplify-96`
512×	`rational_best-simplify-117`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	48	37
2	244	37
3	1560	37

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

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

34.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.1b	(-.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 (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x (/.f64 1 n))
✓	0.1b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓	2.2b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

series85.0ms (0.5%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
43.0ms	x	@	-inf	(pow.f64 x (/.f64 1 n))
27.0ms	x	@	0	(pow.f64 x (/.f64 1 n))
7.0ms	x	@	inf	(pow.f64 x (/.f64 1 n))
1.0ms	n	@	0	(-.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)))

rewrite60.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`rational_best-simplify-126`
588×	`rational_best-simplify-124`
524×	`rational_best-simplify-65`
524×	`rational_best-simplify-96`
512×	`rational_best-simplify-117`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	69
1	48	69
2	244	69
3	1560	69

Stop Event

1×	node limit

Counts

3 → 46

Calls

Call 1

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

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

Outputs

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

simplify122.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

644×	`rational_best-simplify-124`
634×	`rational_best-simplify-126`
620×	`rational_best-simplify-65`
600×	`rational_best-simplify-61`
576×	`rational_best-simplify-62`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	284	7126
1	1603	6988

Stop Event

1×	node limit

Counts

118 → 148

Calls

Call 1

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

eval102.0ms (0.6%)

Compiler: Compiled 6262 to 4698 computations (25% saved)

prune40.0ms (0.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	136	12	148
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	137	12	149

Error

0.7b

Counts

149 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.3b	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
	28.3b	(/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 x n))
	43.2b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (if (!=.f64 (pow.f64 x (/.f64 1 n)) 0) (/.f64 (-.f64 (pow.f64 (*.f64 x x) (/.f64 1 n)) 0) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
▶	57.0b	(-.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)))) (pow.f64 x (/.f64 1 n)))
	54.0b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	58.3b	(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (+.f64 (.f64 (+.f64 (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 (/.f64 1 n) -1/3)) (.f64 (/.f64 1 (pow.f64 n 2)) -1/2)) (pow.f64 x 3)) (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))))) (pow.f64 x (/.f64 1 n)))
▶	46.5b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
▶	46.5b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
	37.5b	(+.f64 (/.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (+.f64 (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 (/.f64 1 n) -1/3)) (.f64 (/.f64 1 (pow.f64 n 2)) -1/2)) (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 x n)) (/.f64 (.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (+.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (-.f64 (.f64 (/.f64 1 (pow.f64 n 3)) -1/4) (.f64 (/.f64 1 n) 1/4)))) (pow.f64 x 4)))))
▶	33.9b	(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 x n)) (/.f64 (.f64 1/2 (*.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))) (pow.f64 x 2)))
	35.7b	(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 x n)) (+.f64 (/.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (.f64 (+.f64 (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 (/.f64 1 n) -1/3)) (*.f64 (/.f64 1 (pow.f64 n 2)) -1/2)) (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 3))))
	22.3b	(+.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (neg.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) -1/2))

Compiler

Compiled 888 to 692 computations (22.1% 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)
✓	3.1b	(log.f64 (+.f64 1 x))
✓	3.5b	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))

Compiler

Compiled 30 to 18 computations (40% saved)

series66.0ms (0.4%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
55.0ms	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	@	0	(/.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	@	inf	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

656×	`rational_best-simplify-113`
646×	`rational_best-simplify-111`
584×	`rational_best-simplify-96`
570×	`rational_best-simplify-61`
568×	`rational_best-simplify-117`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	48	59
2	254	59
3	1662	59

Stop Event

1×	node limit

Counts

3 → 35

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 (neg.f64 (log.f64 x)) (log.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 x)) (+.f64 0 (log.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 (+.f64 1 x)) 0))))) (#(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 (-.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 /.f64 (+.f64 (log.f64 (+.f64 1 x)) (-.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.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))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))) (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) 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(log.f64 (+.f64 1 x)) (log.f64 x))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (log.f64 x) 0) (/.f64 (.f64 (log.f64 x) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (log.f64 (+.f64 1 x)) 0) (/.f64 (.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 1 x))) 0) (/.f64 (-.f64 (.f64 (log.f64 (+.f64 1 x)) (log.f64 (+.f64 1 x))) (.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (log.f64 x)) 0) (/.f64 (.f64 (log.f64 x) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) 0) (/.f64 (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (log.f64 (+.f64 1 x))) 0) (/.f64 (.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 0)) 0) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 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 (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 (neg.f64 (log.f64 (+.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log.f64 (+.f64 1 x))))))))
()

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 (neg.f64 (log.f64 x)) (log.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 x)) (+.f64 0 (log.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 (+.f64 1 x)) 0))))) (#(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 (-.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 /.f64 (+.f64 (log.f64 (+.f64 1 x)) (-.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.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))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))) (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))) (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))) (+.f64 (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))) (-.f64 1 (*.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -2 (+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))) (*.f64 (+.f64 (log.f64 (+.f64 1 x)) (-.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (log.f64 x))) (+.f64 (log.f64 (+.f64 1 x)) (-.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (log.f64 x))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))) (*.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))) (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))))) (-.f64 (*.f64 (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))) (*.f64 (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))))))))) (#(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 if (!=.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 0) (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 1 x)) (log.f64 (+.f64 1 x))) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (log.f64 x) 0) (/.f64 (*.f64 (log.f64 x) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (log.f64 (+.f64 1 x)) 0) (/.f64 (*.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 1 x))) 0) (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 1 x)) (log.f64 (+.f64 1 x))) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (log.f64 x)) 0) (/.f64 (*.f64 (log.f64 x) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) 0) (/.f64 (*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (log.f64 (+.f64 1 x))) 0) (/.f64 (*.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 0)) 0) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 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 (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 (neg.f64 (log.f64 (+.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log.f64 (+.f64 1 x))))))))

()

simplify92.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1108×	`rational_best-simplify-1`
682×	`rational_best-simplify-21`
676×	`rational_best-simplify-20`
670×	`rational_best-simplify-18`
604×	`rational_best-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	181	2529
1	969	2493
2	6467	2493

Stop Event

1×	node limit

Counts

71 → 113

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 (neg.f64 (log.f64 x)) (log.f64 (+.f64 1 x)))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 0 (log.f64 (+.f64 1 x))))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 (+.f64 1 x)) 0))
(+.f64 0 (-.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)
(/.f64 (+.f64 (log.f64 (+.f64 1 x)) (-.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (log.f64 x))) 2)
(/.f64 (+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) -2)
(/.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))) (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(/.f64 (+.f64 (+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))) -4)
(/.f64 (+.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))) (+.f64 (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))))
(/.f64 (-.f64 (.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))) (-.f64 1 (*.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))) (.f64 (+.f64 (log.f64 (+.f64 1 x)) (-.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (log.f64 x))) (+.f64 (log.f64 (+.f64 1 x)) (-.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (log.f64 x))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))))
(/.f64 (-.f64 (.f64 (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))) (.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))))) (-.f64 (.f64 (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))) (.f64 (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))))))
(pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1)
(neg.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))
(if (!=.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 0) (/.f64 (-.f64 (.f64 (log.f64 (+.f64 1 x)) (log.f64 (+.f64 1 x))) (.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(if (!=.f64 (log.f64 x) 0) (/.f64 (*.f64 (log.f64 x) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(if (!=.f64 (log.f64 (+.f64 1 x)) 0) (/.f64 (*.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(if (!=.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 1 x))) 0) (/.f64 (-.f64 (.f64 (log.f64 (+.f64 1 x)) (log.f64 (+.f64 1 x))) (.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(if (!=.f64 (neg.f64 (log.f64 x)) 0) (/.f64 (*.f64 (log.f64 x) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(if (!=.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) 0) (/.f64 (*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(if (!=.f64 (neg.f64 (log.f64 (+.f64 1 x))) 0) (/.f64 (*.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 0)) 0) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(-.f64 (log.f64 (+.f64 1 x)) 0)
(-.f64 0 (neg.f64 (log.f64 (+.f64 1 x))))
(*.f64 -1 (neg.f64 (log.f64 (+.f64 1 x))))
(*.f64 (neg.f64 (log.f64 (+.f64 1 x))) -1)
(/.f64 (neg.f64 (log.f64 (+.f64 1 x))) -1)
(neg.f64 (neg.f64 (log.f64 (+.f64 1 x))))

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x (/.f64 1 n))
✓	3.6b	(-.f64 1 (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 20 to 13 computations (35% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite61.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

514×	`rational_best-simplify-126`
510×	`rational_best-simplify-127`
508×	`rational_best-simplify-124`
450×	`rational_best-simplify-65`
444×	`rational_best-simplify-96`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	42	19
2	206	19
3	1304	19

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

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

Outputs

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

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

536×	`rational_best-simplify-127`
534×	`rational_best-simplify-124`
528×	`rational_best-simplify-126`
506×	`rational_best-simplify-65`
482×	`rational_best-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	222	2928
1	1317	2896

Stop Event

1×	node limit

Counts

76 → 75

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))))
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(*.f64 -1 (/.f64 (log.f64 x) n))
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(*.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)
(/.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (-.f64 1 (pow.f64 x (/.f64 1 n)))) (pow.f64 x (/.f64 1 n)))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2) 2)
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(/.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 -1 (+.f64 (pow.f64 x (/.f64 1 n)) -1))) -2)
(/.f64 (+.f64 (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2)) 4)
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(/.f64 (+.f64 (+.f64 (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2)) (+.f64 (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2))) 8)
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(/.f64 (+.f64 (-.f64 (.f64 2 (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2)) (.f64 (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2))) (-.f64 (.f64 2 (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2)) (.f64 (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2)))) (+.f64 (-.f64 4 (.f64 2 (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2))) (-.f64 4 (.f64 2 (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2)))))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n)))))) (-.f64 (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n))))) (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n)))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n))))))) (.f64 (-.f64 (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n))))) (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n)))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n)))))) (-.f64 (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n))))) (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n)))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n)))))))) (-.f64 (.f64 (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n)))))) (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n))))))) (.f64 (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n)))))) (-.f64 (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n))))) (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n)))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n)))))))))
(pow.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1)
(neg.f64 (+.f64 (pow.f64 x (/.f64 1 n)) -1))
(if (!=.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 0) (/.f64 (-.f64 1 (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(if (!=.f64 (pow.f64 x (/.f64 1 n)) 0) (-.f64 1 (pow.f64 x (/.f64 1 n))) (-.f64 1 (pow.f64 x (/.f64 1 n))))
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(if (!=.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 0) (/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (-.f64 1 (pow.f64 x (/.f64 1 n)))) 0) (-.f64 1 (pow.f64 x (/.f64 1 n)))) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(if (!=.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 0) (/.f64 (-.f64 (.f64 (-.f64 1 (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 (pow.f64 x (/.f64 1 n)))) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(if (!=.f64 -1 0) (-.f64 1 (pow.f64 x (/.f64 1 n))) (-.f64 1 (pow.f64 x (/.f64 1 n))))
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(if (!=.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 0) (-.f64 1 (pow.f64 x (/.f64 1 n))) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x (/.f64 1 n)) -1) 0)) 0) (-.f64 1 (pow.f64 x (/.f64 1 n))))
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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 -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 -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 -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 (+.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))
(*.f64 (/.f64 (log.f64 x) n) -1)
(neg.f64 (/.f64 (log.f64 x) n))
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(*.f64 -1 (/.f64 (log.f64 x) n))
(*.f64 (/.f64 (log.f64 x) n) -1)
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(/.f64 (-.f64 (.f64 (+.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n)))) (+.f64 (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n)))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n)))))) (.f64 (+.f64 (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n)))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n))))) (+.f64 (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n)))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n))))))) (-.f64 (.f64 (+.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n)))) (+.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))))) (.f64 (+.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n)))) (+.f64 (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n)))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n))))))))
(/.f64 (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x (.f64 x x)) (/.f64 1 n))) (pow.f64 (.f64 x (*.f64 x x)) (/.f64 1 n)))
(/.f64 (-.f64 (.f64 (-.f64 4 (.f64 2 (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2))) (-.f64 (.f64 2 (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2)) (.f64 (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2)))) (.f64 (-.f64 (.f64 2 (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2)) (.f64 (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2))) (-.f64 (.f64 2 (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2)) (.f64 (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2))))) (-.f64 (.f64 (-.f64 4 (.f64 2 (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2))) (-.f64 4 (.f64 2 (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2)))) (.f64 (-.f64 4 (.f64 2 (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2))) (-.f64 (.f64 2 (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2)) (.f64 (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2))))))
(/.f64 (*.f64 2 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 2)
(/.f64 (-.f64 2 (*.f64 2 (pow.f64 x (/.f64 1 n)))) 2)
(/.f64 (-.f64 (.f64 (.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (-.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2)))) (-.f64 (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2)) (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))) (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2)) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2))))) (.f64 (-.f64 (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2)) (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))) (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2)) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2)))) (-.f64 (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2)) (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))) (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2)) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2)))))) (-.f64 (.f64 (.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (-.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2)))) (.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (-.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2))))) (.f64 (.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (-.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2)))) (-.f64 (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2)) (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))) (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2)) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2)))))))
(/.f64 (.f64 (pow.f64 x (/.f64 1 n)) (.f64 2 (-.f64 1 (pow.f64 x (/.f64 1 n))))) (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))
(/.f64 (.f64 2 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n)))) (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n)))))) (-.f64 (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n))))) (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n)))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n))))))) (.f64 (-.f64 (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n))))) (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n)))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n)))))) (-.f64 (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n))))) (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n)))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n)))))))) (-.f64 (.f64 (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n)))))) (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n))))))) (.f64 (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (-.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n)))))) (-.f64 (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (.f64 x x) (/.f64 1 n))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n))))) (.f64 (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n)))) (.f64 (pow.f64 x (/.f64 1 n)) (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x x) (/.f64 1 n)))))))))
(/.f64 (.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 (.f64 x (.f64 x x)) (/.f64 1 n))) (pow.f64 (.f64 x (*.f64 x x)) (/.f64 1 n)))
(pow.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(neg.f64 (+.f64 (pow.f64 x (/.f64 1 n)) -1))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(if (!=.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 0) (/.f64 (-.f64 1 (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(if (!=.f64 (pow.f64 x (/.f64 1 n)) 0) (-.f64 1 (pow.f64 x (/.f64 1 n))) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(if (!=.f64 1 0) (-.f64 1 (pow.f64 x (/.f64 1 n))) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(if (!=.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 0) (/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (-.f64 1 (pow.f64 x (/.f64 1 n)))) 0) (-.f64 1 (pow.f64 x (/.f64 1 n)))) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(if (!=.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 0) (/.f64 (-.f64 (.f64 (-.f64 1 (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 (pow.f64 x (/.f64 1 n)))) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(if (!=.f64 -1 0) (-.f64 1 (pow.f64 x (/.f64 1 n))) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(if (!=.f64 (+.f64 (pow.f64 x (/.f64 1 n)) -1) 0) (/.f64 (*.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (-.f64 1 (pow.f64 x (/.f64 1 n)))) (-.f64 1 (pow.f64 x (/.f64 1 n)))) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(if (!=.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 0) (-.f64 1 (pow.f64 x (/.f64 1 n))) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x (/.f64 1 n)) -1) 0)) 0) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(if (!=.f64 0 0) (/.f64 (-.f64 (*.f64 0 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 0) 0) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(if (!=.f64 (-.f64 -1 (pow.f64 x (/.f64 1 n))) 0) (/.f64 (-.f64 1 (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(-.f64 1 (pow.f64 x (/.f64 1 n)))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (/.f64 (log.f64 x) n))
✓	0.3b	(/.f64 (log.f64 x) n)
✓	3.6b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))

Compiler

Compiled 23 to 8 computations (65.2% saved)

series3.0ms (0%)

Counts

3 → 40

Calls

18 calls:

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

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

538×	`rational_best-simplify-126`
536×	`rational_best-simplify-127`
534×	`rational_best-simplify-124`
478×	`rational_best-simplify-65`
470×	`rational_best-simplify-96`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	47
1	43	47
2	212	47
3	1365	47

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

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

Outputs

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

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

simplify143.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

620×	`rational_best-simplify-124`
594×	`rational_best-simplify-65`
564×	`rational_best-simplify-61`
518×	`rational_best-simplify-117`
518×	`rational_best-simplify-96`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	274	5600
1	1565	5264

Stop Event

1×	node limit

Counts

120 → 123

Calls

Call 1

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

localize50.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 1 (pow.f64 n 2))
✓	2.5b	(-.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)))) (pow.f64 x (/.f64 1 n)))
✓	4.8b	(+.f64 (/.f64 x n) (+.f64 1 (.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (pow.f64 x 2))))
✓	6.1b	(.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (pow.f64 x 2))

Compiler

Compiled 129 to 95 computations (26.4% saved)

series11.0ms (0.1%)

Counts

4 → 72

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (pow.f64 x 2))
1.0ms	n	@	0	(.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (pow.f64 x 2))
0.0ms	x	@	inf	(.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (pow.f64 x 2))
0.0ms	n	@	-inf	(.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (pow.f64 x 2))
0.0ms	n	@	inf	(.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (pow.f64 x 2))

rewrite109.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1390×	`rational_best-simplify-61`
1002×	`rational_best-simplify-3`
710×	`rational_best-simplify-1`
644×	`rational_best-simplify-53`
596×	`rational_best-simplify-56`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	196
1	103	196
2	603	196
3	4065	196

Stop Event

1×	node limit

Counts

4 → 73

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 x 2))) (.f64 (.f64 (/.f64 1 n) (pow.f64 x 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (/.f64 1 n) (pow.f64 x 2)) -1/2) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/2 (.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 x 2))) (.f64 1/2 (.f64 (/.f64 1 n) (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 x 2))) (.f64 1/2 (.f64 (/.f64 1 n) (pow.f64 x 2)))) 0) (/.f64 (-.f64 (.f64 (.f64 1/2 (.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 x 2))) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 x 2)))) (.f64 (.f64 1/2 (.f64 (/.f64 1 n) (pow.f64 x 2))) (.f64 1/2 (.f64 (/.f64 1 n) (pow.f64 x 2))))) (+.f64 (.f64 1/2 (.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 x 2))) (.f64 1/2 (.f64 (/.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))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 1/2 (.f64 (/.f64 1 n) (pow.f64 x 2))) 0) (/.f64 (-.f64 (.f64 (.f64 1/2 (.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 x 2))) (.f64 1/2 (.f64 (/.f64 1 n) (pow.f64 x 2)))) (.f64 (.f64 1/2 (.f64 (/.f64 1 n) (pow.f64 x 2))) (.f64 1/2 (.f64 (/.f64 1 n) (pow.f64 x 2))))) (.f64 1/2 (.f64 (/.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))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 1/2 (.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 x 2))) 0) (/.f64 (-.f64 (.f64 (.f64 1/2 (.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 x 2))) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 x 2)))) (.f64 (.f64 1/2 (.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 x 2))) (.f64 1/2 (.f64 (/.f64 1 n) (pow.f64 x 2))))) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 x 2)))) (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))) (+.f64 (neg.f64 (/.f64 x n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x n) (+.f64 -1 (.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2)))) (neg.f64 (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))) (/.f64 x n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x n)) (.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (.f64 (.f64 (pow.f64 x 2) 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simplify125.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

746×	`rational_best-simplify-124`
694×	`rational_best-simplify-65`
654×	`rational_best-simplify-61`
568×	`rational_best-simplify-62`
530×	`rational_best-simplify-96`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	291	12059
1	1669	11975

Stop Event

1×	node limit

Counts

145 → 165

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) n))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) n))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) 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 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 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 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 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 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)))
1
(+.f64 (/.f64 x n) 1)
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(.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2)))
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(+.f64 (/.f64 x n) (+.f64 1 (.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))))
(+.f64 (/.f64 x n) (+.f64 1 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2)))))
(+.f64 (/.f64 x n) (+.f64 1 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2)))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))
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(+.f64 (/.f64 x n) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
1
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (/.f64 x n) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
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1
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(-.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 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n)))
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(.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 x n) (+.f64 1 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))))) (exp.f64 (*.f64 -1 (/.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 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 (*.f64 -1/2 (pow.f64 x 2)) x) (log.f64 x)) n)
(-.f64 (+.f64 (/.f64 x n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
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(.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)) (.f64 -1 (log.f64 x))) n))
(-.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))))
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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 (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.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 (.f64 (pow.f64 x 2) -1/2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) -1)
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(if (!=.f64 (-.f64 (-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) 0) (/.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (+.f64 1 (/.f64 x n))) (-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (+.f64 1 (/.f64 x n)))) (pow.f64 (.f64 x x) (/.f64 1 n))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (/.f64 x n))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(if (!=.f64 (-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (+.f64 1 (/.f64 x n))) 0) (/.f64 (.f64 (-.f64 (+.f64 1 (/.f64 x n)) (.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))) (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (+.f64 1 (/.f64 x n))))) (-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (+.f64 1 (/.f64 x n)))) (+.f64 (.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(if (!=.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (+.f64 1 (/.f64 x n)))) 0) (/.f64 (neg.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))) (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (+.f64 1 (/.f64 x n))))) (+.f64 (.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(if (!=.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (+.f64 1 (/.f64 x n)))) 0) (/.f64 (-.f64 (.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (+.f64 1 (/.f64 x n)))) 0) (.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))) (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (+.f64 1 (/.f64 x n))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(if (!=.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 0) (/.f64 (.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) (pow.f64 x (/.f64 1 n))) (+.f64 (.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (+.f64 1 (/.f64 x n)))) 0)) 0) (+.f64 (.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(-.f64 0 (neg.f64 (/.f64 1 (pow.f64 n 2))))
(*.f64 -1 (neg.f64 (/.f64 1 (pow.f64 n 2))))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 n 2))) -1)
(neg.f64 (neg.f64 (/.f64 1 (pow.f64 n 2))))

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

localize95.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(/.f64 1 (pow.f64 n 2))
✓	2.7b	(/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 x n))
✓	5.9b	(*.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))
✓	8.4b	(/.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))) (pow.f64 x 2))

Compiler

Compiled 172 to 126 computations (26.7% saved)

series44.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
26.0ms	x	@	-inf	(/.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))) (pow.f64 x 2))
5.0ms	x	@	inf	(/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 x n))
4.0ms	x	@	-inf	(/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 x n))
1.0ms	n	@	-inf	(/.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))) (pow.f64 x 2))
1.0ms	n	@	inf	(/.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))) (pow.f64 x 2))

rewrite83.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1610×	`rational_best-simplify-61`
722×	`rational_best-simplify-53`
682×	`rational_best-simplify-1`
660×	`rational_best-simplify-56`
596×	`rational_best-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	165
1	109	165
2	679	165
3	4612	165

Stop Event

1×	node limit

Counts

3 → 15

Calls

Call 1

Inputs

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

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

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

Outputs

()

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()

simplify118.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

852×	`rational_best-simplify-21`
838×	`rational_best-simplify-20`
832×	`rational_best-simplify-18`
428×	`rational_best-simplify-126`
428×	`rational_best-simplify-124`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	6225
1	1032	6195
2	6933	6123

Stop Event

1×	node limit

Counts

87 → 81

Calls

Call 1

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

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

eval404.0ms (2.2%)

Compiler: Compiled 25730 to 16033 computations (37.7% saved)

prune130.0ms (0.7%)

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	564	17	581
Fresh	4	3	7
Picked	1	0	1
Done	1	3	4
Total	570	23	593

Error

0.1b

Counts

593 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	17.5b	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))) (.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))))) (-.f64 (.f64 (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))) (.f64 (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))))) n)
▶	17.4b	(/.f64 (/.f64 (-.f64 (.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))) (-.f64 1 (*.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))))) n)
	40.6b	(/.f64 (/.f64 1 x) n)
	41.4b	(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
	41.1b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
✓	17.3b	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
▶	39.6b	(/.f64 (-.f64 x (log.f64 x)) n)
	39.4b	(/.f64 (neg.f64 (log.f64 x)) n)
	28.3b	(/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 x n))
	41.2b	(/.f64 1 (*.f64 x n))
	57.1b	(-.f64 (if (!=.f64 (+.f64 1 (/.f64 x n)) 0) (/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 x n)) (+.f64 1 (/.f64 x n))) (.f64 (+.f64 1 (/.f64 x n)) (.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))))) (+.f64 1 (/.f64 x n))) (-.f64 (+.f64 1 (/.f64 x n)) (.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))))) (pow.f64 x (/.f64 1 n)))
▶	41.9b	(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n))))
▶	56.1b	(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (pow.f64 x (/.f64 1 n)))
	54.0b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	42.0b	(-.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)))))
	41.7b	(-.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))))
	58.3b	(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (+.f64 (.f64 (+.f64 (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 (/.f64 1 n) -1/3)) (.f64 (/.f64 1 (pow.f64 n 2)) -1/2)) (pow.f64 x 3)) (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))))) (pow.f64 x (/.f64 1 n)))
	55.6b	(-.f64 1 (if (!=.f64 (pow.f64 x (/.f64 1 n)) 0) (/.f64 (-.f64 (pow.f64 (*.f64 x x) (/.f64 1 n)) 0) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
✓	46.5b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
✓	46.5b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
▶	39.1b	(-.f64 1 1)
	39.6b	(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
	39.7b	(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))

Compiler

Compiled 1131 to 824 computations (27.1% saved)

localize64.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
✓	0.3b	(/.f64 (-.f64 (.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))) (-.f64 1 (*.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))
	3.1b	(log.f64 (+.f64 1 x))
	3.5b	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))

Compiler

Compiled 157 to 103 computations (34.4% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/.f64 (-.f64 (.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))) (-.f64 1 (*.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))
0.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))) (-.f64 1 (*.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))
0.0ms	x	@	inf	(/.f64 (-.f64 (.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))) (-.f64 1 (*.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))
0.0ms	x	@	inf	(*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
0.0ms	x	@	0	(*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))

rewrite80.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1174×	`rational_best-simplify-61`
940×	`rational_best-simplify-3`
734×	`rational_best-simplify-62`
628×	`rational_best-simplify-53`
614×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	164
1	97	74
2	685	68
3	3905	68

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

Inputs

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

(*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))

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 (neg.f64 (log.f64 x)) (log.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 x)) (*.f64 1 (log.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (+.f64 1 x))) (neg.f64 (log.f64 x)))))) (#(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 (*.f64 1 (*.f64 1 (log.f64 (+.f64 1 x)))) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.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)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1 (log.f64 (+.f64 1 x))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1 (*.f64 1 (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 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 if (!=.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 0) (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 1 x)) (log.f64 (+.f64 1 x))) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 0) (/.f64 (-.f64 (*.f64 (*.f64 1 (log.f64 (+.f64 1 x))) (*.f64 1 (log.f64 (+.f64 1 x)))) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (log.f64 x) 0) (/.f64 (*.f64 (log.f64 x) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (log.f64 (+.f64 1 x)) 0) (/.f64 (*.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))) 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simplify121.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1064×	`rational_best-simplify-1`
456×	`rational_best-simplify-124`
452×	`rational_best-simplify-126`
440×	`rational_best-simplify-127`
438×	`rational_best-simplify-65`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	239	5627
1	1270	4857
2	7817	4857

Stop Event

1×	node limit

Counts

89 → 117

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (log.f64 x)) (+.f64 1 (log.f64 x))))
(+.f64 (.f64 (-.f64 (/.f64 1 (+.f64 1 (log.f64 x))) (+.f64 (.f64 -2 (/.f64 (log.f64 x) (+.f64 1 (log.f64 x)))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 1 (log.f64 x)) 2)) (/.f64 (log.f64 x) (pow.f64 (+.f64 1 (log.f64 x)) 2))))) x) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (log.f64 x)) (+.f64 1 (log.f64 x)))))
(+.f64 (.f64 (-.f64 (/.f64 1 (+.f64 1 (log.f64 x))) (+.f64 (.f64 -2 (/.f64 (log.f64 x) (+.f64 1 (log.f64 x)))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 1 (log.f64 x)) 2)) (/.f64 (log.f64 x) (pow.f64 (+.f64 1 (log.f64 x)) 2))))) x) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 3/2 (log.f64 x)) (+.f64 1 (log.f64 x)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (log.f64 x)) (pow.f64 (+.f64 1 (log.f64 x)) 2))) (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (log.f64 x))) (+.f64 (.f64 -2 (/.f64 (log.f64 x) (+.f64 1 (log.f64 x)))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 1 (log.f64 x)) 2)) (/.f64 (log.f64 x) (pow.f64 (+.f64 1 (log.f64 x)) 2))))) (+.f64 1 (log.f64 x)))))) (pow.f64 x 2)) (.f64 -1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (log.f64 x)) (+.f64 1 (log.f64 x))))))
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(/.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))))
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(/.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)))))
(pow.f64 (log.f64 x) 2)
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(+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (.f64 -2 (.f64 x (log.f64 x))) (*.f64 (+.f64 1 (log.f64 x)) (pow.f64 x 2))))
(+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (.f64 -2 (.f64 x (log.f64 x))) (+.f64 (.f64 (+.f64 1 (log.f64 x)) (pow.f64 x 2)) (.f64 (-.f64 (*.f64 -2/3 (log.f64 x)) 1) (pow.f64 x 3)))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
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(/.f64 1 (pow.f64 x 2))
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(*.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)
(pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1)
(neg.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))
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(if (!=.f64 (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 0) (/.f64 (-.f64 (.f64 (.f64 1 (log.f64 (+.f64 1 x))) (.f64 1 (log.f64 (+.f64 1 x)))) (.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(if (!=.f64 (log.f64 x) 0) (/.f64 (*.f64 (log.f64 x) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(if (!=.f64 (log.f64 (+.f64 1 x)) 0) (/.f64 (*.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(if (!=.f64 1 0) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(if (!=.f64 -1 0) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
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(if (!=.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 1 x))) 0) (/.f64 (-.f64 (.f64 (log.f64 (+.f64 1 x)) (log.f64 (+.f64 1 x))) (.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
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(if (!=.f64 (+.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) -1) 0) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) 0)) 0) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(+.f64 (*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) 0)
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(-.f64 (.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(-.f64 (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 0) (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(-.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) 0) (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (/.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))))
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(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) 1)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) -1)
(/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (/.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
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(/.f64 (fabs.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (/.f64 1 (fabs.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))
(pow.f64 (*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) 1)
(neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(fabs.f64 (*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))))
(fabs.f64 (*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(fabs.f64 (-.f64 (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 0)))
(fabs.f64 (-.f64 (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) 0)))
(fabs.f64 (-.f64 (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 0)))
(fabs.f64 (-.f64 (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) 0)))
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Outputs
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (log.f64 x)) (+.f64 1 (log.f64 x))))
(*.f64 -1 (/.f64 (+.f64 (log.f64 x) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) 1)))
(neg.f64 (/.f64 (+.f64 (log.f64 x) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) 1)))
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(if (!=.f64 (.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) 0) (/.f64 (+.f64 (.f64 (log.f64 (+.f64 1 x)) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))) (.f64 (.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))) (.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))) (*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))))
(if (!=.f64 (.f64 (log.f64 (+.f64 x 1)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) 0) (/.f64 (+.f64 (.f64 (log.f64 (+.f64 x 1)) (.f64 (log.f64 (+.f64 x 1)) (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))) (.f64 (log.f64 x) (.f64 (.f64 (log.f64 (+.f64 x 1)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))) (.f64 (log.f64 (+.f64 x 1)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))) (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(if (!=.f64 (.f64 (log.f64 (+.f64 x 1)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) 0) (/.f64 (+.f64 (.f64 (log.f64 x) (neg.f64 (.f64 (log.f64 (+.f64 x 1)) (pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)))) (.f64 (pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2) (log.f64 (pow.f64 (+.f64 x 1) (log.f64 (+.f64 x 1)))))) (*.f64 (log.f64 (+.f64 x 1)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))) (pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2))

localize4.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 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)

rewrite49.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`rational_best-simplify-113`
628×	`rational_best-simplify-111`
610×	`rational_best-simplify-124`
536×	`rational_best-simplify-61`
534×	`rational_best-simplify-96`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	41	17
2	227	17
3	1530	17

Stop Event

1×	node limit

Counts

1 → 0

Calls

Call 1

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

Outputs
()

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1476×	`rational_best-simplify-61`
948×	`rational_best-simplify-3`
634×	`rational_best-simplify-53`
612×	`rational_best-simplify-1`
602×	`rational_best-simplify-56`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	376
1	92	356
2	600	320
3	4203	320

Stop Event

1×	node limit

Counts

12 → 12

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)))))

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 1 (*.f64 x n))
✓	0.8b	(/.f64 1 (*.f64 (pow.f64 x 2) n))
✓	2.5b	(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n))))
✓	8.4b	(*.f64 (pow.f64 x 2) n)

Compiler

Compiled 54 to 35 computations (35.2% saved)

series6.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1032×	`rational_best-simplify-113`
682×	`rational_best-simplify-96`
672×	`rational_best-simplify-117`
670×	`rational_best-simplify-65`
634×	`rational_best-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	88
1	58	88
2	300	88
3	1927	88

Stop Event

1×	node limit

Counts

4 → 38

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 x 2) n) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (pow.f64 x 2) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 2) (neg.f64 n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (pow.f64 x 2) (neg.f64 n)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2) (/.f64 1 (.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2) (+.f64 (/.f64 1 (.f64 x n)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2) (+.f64 0 (/.f64 1 (.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))) (-.f64 -1 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))))) (+.f64 1 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2)) (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n)))) (+.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))) (-.f64 -1 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))) (-.f64 -1 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n)))))) (+.f64 (+.f64 1 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n)))) (+.f64 1 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 1 (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2))) (.f64 (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2)) (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2)))) (-.f64 1 (.f64 1 (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))))) (.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n)))) (+.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n)))))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 1 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n)))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))) (-.f64 -1 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n)))))) (.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))) (-.f64 -1 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))) (-.f64 -1 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))))))) (-.f64 (.f64 (+.f64 1 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n)))) (+.f64 1 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))))) (.f64 (+.f64 1 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n)))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))) (-.f64 -1 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n)))) 0) (/.f64 (-.f64 (/.f64 1 (.f64 n (.f64 n (.f64 x x)))) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) 1/4))) (+.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))))) (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) 0) (/.f64 (.f64 1/2 (.f64 (+.f64 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()
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (.f64 x n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 1 (.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (/.f64 1 (.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 1 (.f64 x n))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 1 (*.f64 x n))))))))

simplify91.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1320×	`rational_best-simplify-61`
944×	`rational_best-simplify-3`
594×	`rational_best-simplify-53`
578×	`rational_best-simplify-1`
532×	`rational_best-simplify-56`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	133	3700
1	707	3692
2	4710	3692

Stop Event

1×	node limit

Counts

134 → 53

Calls

Call 1

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

Outputs
(*.f64 n (pow.f64 x 2))
(*.f64 n (pow.f64 x 2))
(*.f64 n (pow.f64 x 2))
(*.f64 n (pow.f64 x 2))
(*.f64 n (pow.f64 x 2))
(*.f64 n (pow.f64 x 2))
(*.f64 n (pow.f64 x 2))
(*.f64 n (pow.f64 x 2))
(*.f64 n (pow.f64 x 2))
(*.f64 n (pow.f64 x 2))
(*.f64 n (pow.f64 x 2))
(*.f64 n (pow.f64 x 2))
(*.f64 n (pow.f64 x 2))
(*.f64 n (pow.f64 x 2))
(*.f64 n (pow.f64 x 2))
(*.f64 n (pow.f64 x 2))
(*.f64 n (pow.f64 x 2))
(*.f64 n (pow.f64 x 2))
(*.f64 n (pow.f64 x 2))
(*.f64 n (pow.f64 x 2))
(*.f64 n (pow.f64 x 2))
(*.f64 n (pow.f64 x 2))
(*.f64 n (pow.f64 x 2))
(*.f64 n (pow.f64 x 2))
(/.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 (/.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 (/.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 (/.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 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 (pow.f64 x 2)) -1/2)) n)
(/.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 (/.f64 1 x) (*.f64 (/.f64 1 (pow.f64 x 2)) -1/2)) n)
(/.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 (/.f64 1 x) (*.f64 (/.f64 1 (pow.f64 x 2)) -1/2)) n)
(/.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 (/.f64 1 x) (*.f64 (/.f64 1 (pow.f64 x 2)) -1/2)) n)
(/.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 (/.f64 1 x) (*.f64 (/.f64 1 (pow.f64 x 2)) -1/2)) n)
(/.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 (/.f64 1 x) (*.f64 (/.f64 1 (pow.f64 x 2)) -1/2)) n)
(/.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 (/.f64 1 x) (*.f64 (/.f64 1 (pow.f64 x 2)) -1/2)) n)
(/.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 (/.f64 1 x) (*.f64 (/.f64 1 (pow.f64 x 2)) -1/2)) n)
(/.f64 (+.f64 (/.f64 1 x) (*.f64 -1/2 (/.f64 1 (pow.f64 x 2)))) n)
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) n))
(neg.f64 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) n))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) n))
(neg.f64 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) n))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) n))
(neg.f64 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) n))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) n))
(neg.f64 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) n))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.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 (pow.f64 x 2) n) 0)
(*.f64 n (pow.f64 x 2))
(-.f64 0 (*.f64 (pow.f64 x 2) (neg.f64 n)))
(*.f64 n (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) (neg.f64 n)) -1)
(*.f64 n (pow.f64 x 2))
(neg.f64 (*.f64 (pow.f64 x 2) (neg.f64 n)))
(*.f64 n (pow.f64 x 2))
(+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (*.f64 (pow.f64 x 2) n)) -1/2))
(-.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 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (*.f64 (pow.f64 x 2) n)) -1/2)) 0)
(-.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 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2) (/.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 n x)) (.f64 -1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2) (+.f64 (/.f64 1 (*.f64 x n)) 0))
(-.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 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2) (+.f64 0 (/.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 n x)) (.f64 -1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 0 (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (*.f64 (pow.f64 x 2) n)) -1/2)))
(-.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 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2)) 1)
(-.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 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))) -1)
(-.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 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1 (.f64 n x)) (.f64 -1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (*.f64 (pow.f64 x 2) n)) -1/2)) 1)
(-.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 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (*.f64 x n))) -1)
(-.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 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n)))) -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 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))) (-.f64 -1 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))))) (+.f64 1 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n)))))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
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(/.f64 (+.f64 (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2)) (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2))) 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)))))
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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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(pow.f64 (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (*.f64 (pow.f64 x 2) n)) -1/2)) 1)
(-.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)))))
(neg.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (*.f64 x n))))
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(+.f64 (/.f64 1 (.f64 n x)) (.f64 -1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(if (!=.f64 (+.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n)))) 0) (/.f64 (-.f64 (/.f64 1 (.f64 n (.f64 n (.f64 x x)))) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) 1/4))) (+.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))))) (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2)))
(if (!=.f64 (+.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2))))) 0) (/.f64 (-.f64 (/.f64 1 (.f64 n (.f64 x (.f64 n x)))) (.f64 (/.f64 1 (.f64 n (pow.f64 x 2))) (.f64 (/.f64 1 (.f64 n (pow.f64 x 2))) 1/4))) (+.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))))))
(if (!=.f64 (+.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2))))) 0) (/.f64 (+.f64 (.f64 (/.f64 1 (.f64 n (pow.f64 x 2))) (.f64 (/.f64 1 (.f64 n (pow.f64 x 2))) -1/4)) (/.f64 1 (.f64 n (.f64 x (.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))))))
(if (!=.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) 0) (/.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2)) (/.f64 1 (.f64 (pow.f64 x 2) n)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n)))) (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (*.f64 (pow.f64 x 2) n)) -1/2)))
(-.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)))))
(if (!=.f64 (/.f64 1 (.f64 x n)) 0) (/.f64 (.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2))) (/.f64 1 (.f64 x n))) (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2)))
(-.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)))))
(if (!=.f64 (-.f64 (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2) (/.f64 1 (.f64 x n))) 0) (/.f64 (-.f64 (/.f64 1 (.f64 n (.f64 n (.f64 x x)))) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) 1/4))) (+.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))))) (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2)))
(if (!=.f64 (-.f64 (.f64 -1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))) (/.f64 1 (.f64 n x))) 0) (/.f64 (-.f64 (/.f64 1 (.f64 n (.f64 x (.f64 n x)))) (.f64 (/.f64 1 (.f64 n (pow.f64 x 2))) (.f64 (/.f64 1 (.f64 n (pow.f64 x 2))) 1/4))) (+.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))))))
(if (!=.f64 (-.f64 (.f64 -1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))) (/.f64 1 (.f64 n x))) 0) (/.f64 (+.f64 (.f64 (/.f64 1 (.f64 n (pow.f64 x 2))) (.f64 (/.f64 1 (.f64 n (pow.f64 x 2))) -1/4)) (/.f64 1 (.f64 n (.f64 x (.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))))))
(if (!=.f64 (neg.f64 (/.f64 1 (.f64 x n))) 0) (/.f64 (.f64 (/.f64 1 (.f64 x n)) (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2))) (/.f64 1 (.f64 x n))) (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2)))
(-.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)))))
(if (!=.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))) 0) (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))) (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n)))) (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2)))
(-.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)))))
(if (!=.f64 (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2) 0) (/.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2)) (/.f64 1 (.f64 (pow.f64 x 2) n)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n)))) (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (*.f64 (pow.f64 x 2) n)) -1/2)))
(-.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)))))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (/.f64 1 (.f64 x n))) 0)) 0) (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (*.f64 (pow.f64 x 2) n)) -1/2)))
(-.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 x n)) 0)
(/.f64 1 (*.f64 n x))
(-.f64 0 (neg.f64 (/.f64 1 (*.f64 x n))))
(/.f64 1 (*.f64 n x))
(.f64 -1 (neg.f64 (/.f64 1 (.f64 x n))))
(/.f64 1 (*.f64 n x))
(.f64 (neg.f64 (/.f64 1 (.f64 x n))) -1)
(/.f64 1 (*.f64 n x))
(neg.f64 (neg.f64 (/.f64 1 (*.f64 x n))))
(/.f64 1 (*.f64 n x))

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x (/.f64 1 n))
✓	4.1b	(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (pow.f64 x (/.f64 1 n)))
✓	4.8b	(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))
✓	11.8b	(/.f64 (pow.f64 x 2) (pow.f64 n 2))

Compiler

Compiled 87 to 60 computations (31% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

18 calls:

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

rewrite81.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1042×	`rational_best-simplify-61`
1038×	`rational_best-simplify-65`
986×	`rational_best-simplify-96`
742×	`rational_best-simplify-62`
708×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	123
1	79	123
2	449	123
3	3025	123

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs

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

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

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

Outputs

()

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simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

642×	`rational_best-simplify-124`
638×	`rational_best-simplify-126`
590×	`rational_best-simplify-65`
568×	`rational_best-simplify-61`
474×	`rational_best-simplify-117`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	243	7689
1	1473	7641

Stop Event

1×	node limit

Counts

99 → 122

Calls

Call 1

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

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

eval497.0ms (2.7%)

Compiler: Compiled 32669 to 22260 computations (31.9% saved)

prune264.0ms (1.5%)

Pruning

29 alts after pruning (22 fresh and 7 done)

	Pruned	Kept	Total
New	674	9	683
Fresh	2	13	15
Picked	0	1	1
Done	1	6	7
Total	677	29	706

Error

0.1b

Counts

706 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	43.3b	(if (!=.f64 (-.f64 (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2) (/.f64 1 (.f64 x n))) 0) (/.f64 (-.f64 (/.f64 1 (.f64 n (.f64 n (.f64 x x)))) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) 1/4))) (+.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))))) (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2)))
	17.5b	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))) (.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))))) (-.f64 (.f64 (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))) (.f64 (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))))) n)
	17.4b	(/.f64 (/.f64 (-.f64 (.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (if (!=.f64 (.f64 (log.f64 x) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) 0) (/.f64 (.f64 (log.f64 x) (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2))) (.f64 (log.f64 x) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))) (pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2))) (-.f64 1 (.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))))) n)
▶	17.4b	(/.f64 (/.f64 (-.f64 (.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (/.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))))) (-.f64 1 (.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))))) n)
	17.5b	(/.f64 (/.f64 (-.f64 (.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))) (-.f64 1 (.f64 1 (/.f64 (-.f64 (.f64 (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))) (.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))))) (-.f64 (.f64 (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))) (.f64 (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))))))))) n)
	40.6b	(/.f64 (/.f64 1 x) n)
	41.4b	(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
	41.1b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
✓	17.3b	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
✓	39.6b	(/.f64 (-.f64 x (log.f64 x)) n)
	39.5b	(/.f64 (neg.f64 (/.f64 (+.f64 (log.f64 x) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) 1))) n)
	39.4b	(/.f64 (neg.f64 (log.f64 x)) n)
	28.3b	(/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 x n))
▶	61.1b	(/.f64 x n)
	41.2b	(/.f64 1 (*.f64 x n))
	56.2b	(-.f64 (if (!=.f64 (+.f64 (/.f64 x n) 1) 0) (/.f64 (-.f64 (.f64 (+.f64 (/.f64 x n) 1) (+.f64 (/.f64 x n) 1)) (.f64 (+.f64 (/.f64 x n) 1) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) -1/2))) (+.f64 (/.f64 x n) 1)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) 1/2) (+.f64 (/.f64 x n) 1))) (pow.f64 x (/.f64 1 n)))
	39.6b	(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
✓	41.9b	(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n))))
✓	56.1b	(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (pow.f64 x (/.f64 1 n)))
	54.0b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	42.0b	(-.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)))))
▶	41.7b	(-.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))))
	58.3b	(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (+.f64 (.f64 (+.f64 (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 (/.f64 1 n) -1/3)) (.f64 (/.f64 1 (pow.f64 n 2)) -1/2)) (pow.f64 x 3)) (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))))) (pow.f64 x (/.f64 1 n)))
	55.6b	(-.f64 1 (if (!=.f64 (pow.f64 x (/.f64 1 n)) 0) (/.f64 (-.f64 (pow.f64 (*.f64 x x) (/.f64 1 n)) 0) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
✓	46.5b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
✓	46.5b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
✓	39.1b	(-.f64 1 1)
▶	39.6b	(+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n))
▶	39.7b	(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))

Compiler

Compiled 1728 to 1226 computations (29.1% saved)

localize72.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (/.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))))
✓	0.3b	(/.f64 (-.f64 (.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (/.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))))) (-.f64 1 (.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))
	3.1b	(log.f64 (+.f64 1 x))
	3.5b	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))

Compiler

Compiled 174 to 117 computations (32.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite99.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`rational_best-simplify-3`
730×	`rational_best-simplify-53`
708×	`rational_best-simplify-1`
678×	`rational_best-simplify-56`
450×	`rational_best-simplify-18`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	176
1	108	164
2	754	68
3	5035	68

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs

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

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

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

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

simplify229.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

976×	`rational_best-simplify-1`
690×	`rational_best-simplify-20`
684×	`rational_best-simplify-18`
416×	`rational_best-simplify-124`
412×	`rational_best-simplify-126`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	217	4388
1	1124	3834
2	7247	3834

Stop Event

1×	node limit

Counts

78 → 98

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (log.f64 x)) (+.f64 1 (log.f64 x))))
(+.f64 (.f64 (-.f64 (/.f64 1 (+.f64 1 (log.f64 x))) (+.f64 (.f64 -2 (/.f64 (log.f64 x) (+.f64 1 (log.f64 x)))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 1 (log.f64 x)) 2)) (/.f64 (log.f64 x) (pow.f64 (+.f64 1 (log.f64 x)) 2))))) x) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (log.f64 x)) (+.f64 1 (log.f64 x)))))
(+.f64 (.f64 (-.f64 (/.f64 1 (+.f64 1 (log.f64 x))) (+.f64 (.f64 -2 (/.f64 (log.f64 x) (+.f64 1 (log.f64 x)))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 1 (log.f64 x)) 2)) (/.f64 (log.f64 x) (pow.f64 (+.f64 1 (log.f64 x)) 2))))) x) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 3/2 (log.f64 x)) (+.f64 1 (log.f64 x)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (log.f64 x)) (pow.f64 (+.f64 1 (log.f64 x)) 2))) (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (log.f64 x))) (+.f64 (.f64 -2 (/.f64 (log.f64 x) (+.f64 1 (log.f64 x)))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 1 (log.f64 x)) 2)) (/.f64 (log.f64 x) (pow.f64 (+.f64 1 (log.f64 x)) 2))))) (+.f64 1 (log.f64 x)))))) (pow.f64 x 2)) (.f64 -1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (log.f64 x)) (+.f64 1 (log.f64 x))))))
(+.f64 (.f64 (-.f64 (/.f64 1 (+.f64 1 (log.f64 x))) (+.f64 (.f64 -2 (/.f64 (log.f64 x) (+.f64 1 (log.f64 x)))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 1 (log.f64 x)) 2)) (/.f64 (log.f64 x) (pow.f64 (+.f64 1 (log.f64 x)) 2))))) x) (+.f64 (.f64 (-.f64 (.f64 4/3 (/.f64 1 (+.f64 1 (log.f64 x)))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (log.f64 x))) (+.f64 (.f64 -2 (/.f64 (log.f64 x) (+.f64 1 (log.f64 x)))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 1 (log.f64 x)) 2)) (/.f64 (log.f64 x) (pow.f64 (+.f64 1 (log.f64 x)) 2))))) (+.f64 1 (log.f64 x)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 3/2 (log.f64 x)) (+.f64 1 (log.f64 x)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (log.f64 x)) (pow.f64 (+.f64 1 (log.f64 x)) 2))) (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (log.f64 x))) (+.f64 (.f64 -2 (/.f64 (log.f64 x) (+.f64 1 (log.f64 x)))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 1 (log.f64 x)) 2)) (/.f64 (log.f64 x) (pow.f64 (+.f64 1 (log.f64 x)) 2))))) (+.f64 1 (log.f64 x)))))) (+.f64 1 (log.f64 x)))) (+.f64 (.f64 -2/3 (/.f64 (log.f64 x) (+.f64 1 (log.f64 x)))) (.f64 1/3 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (log.f64 x)) (pow.f64 (+.f64 1 (log.f64 x)) 2))))))) (pow.f64 x 3)) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 3/2 (log.f64 x)) (+.f64 1 (log.f64 x)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (log.f64 x)) (pow.f64 (+.f64 1 (log.f64 x)) 2))) (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (log.f64 x))) (+.f64 (.f64 -2 (/.f64 (log.f64 x) (+.f64 1 (log.f64 x)))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 1 (log.f64 x)) 2)) (/.f64 (log.f64 x) (pow.f64 (+.f64 1 (log.f64 x)) 2))))) (+.f64 1 (log.f64 x)))))) (pow.f64 x 2)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (log.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)))))
(pow.f64 (log.f64 x) 2)
(+.f64 (pow.f64 (log.f64 x) 2) (.f64 -2 (.f64 x (log.f64 x))))
(+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (.f64 -2 (.f64 x (log.f64 x))) (*.f64 (+.f64 1 (log.f64 x)) (pow.f64 x 2))))
(+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (.f64 -2 (.f64 x (log.f64 x))) (+.f64 (.f64 (+.f64 1 (log.f64 x)) (pow.f64 x 2)) (.f64 (-.f64 (*.f64 -2/3 (log.f64 x)) 1) (pow.f64 x 3)))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (.f64 5/6 (/.f64 1 (pow.f64 x 5)))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (.f64 5/6 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (log.f64 (+.f64 1 x)) (neg.f64 (log.f64 x)))
(+.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 0)
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 1 x)))
(+.f64 (neg.f64 (log.f64 x)) (*.f64 1 (log.f64 (+.f64 1 x))))
(+.f64 (*.f64 1 (log.f64 (+.f64 1 x))) (neg.f64 (log.f64 x)))
(+.f64 0 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))
(-.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 0)
(-.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (+.f64 1 x))))
(-.f64 (*.f64 1 (log.f64 (+.f64 1 x))) (log.f64 x))
(-.f64 0 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))
(-.f64 (.f64 1 (.f64 1 (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)
(pow.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1)
(neg.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))
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(if (!=.f64 -1 0) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
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(.f64 1 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(.f64 -1 (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))
(.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) 1)
(.f64 (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) -1)
(*.f64 (fabs.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (fabs.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))))
(*.f64 (fabs.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (fabs.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(pow.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) 1)
(neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(fabs.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(fabs.f64 (*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(if (!=.f64 (+.f64 (.f64 (log.f64 x) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))) 0) (/.f64 (-.f64 (.f64 (.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))) (.f64 (.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))) (+.f64 (.f64 (log.f64 x) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))))) (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
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Outputs
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (log.f64 x)) (+.f64 1 (log.f64 x))))
(*.f64 -1 (/.f64 (+.f64 (log.f64 x) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) 1)))
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(if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) 0)) 0) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
(+.f64 0 (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)
(+.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) 0)
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)
(+.f64 (.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)
(+.f64 (.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)
(-.f64 0 (*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)
(-.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) 0)
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)
(-.f64 (.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (.f64 (log.f64 x) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)
(-.f64 (.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)
(-.f64 (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 0) (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)
(-.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) 0) (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)
(.f64 1 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)
(*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)
(.f64 -1 (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)
(*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)
(.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) 1)
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)
(.f64 (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) -1)
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)
(*.f64 (fabs.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (fabs.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)
(*.f64 (fabs.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (fabs.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)
(pow.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) 1)
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)
(neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)
(fabs.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)
(fabs.f64 (*.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)
(if (!=.f64 (+.f64 (.f64 (log.f64 x) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))) 0) (/.f64 (-.f64 (.f64 (.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))) (.f64 (.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))) (+.f64 (.f64 (log.f64 x) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))))) (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)
(if (!=.f64 (.f64 (log.f64 x) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) 0) (/.f64 (-.f64 (.f64 (.f64 (log.f64 x) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))) (.f64 (.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))) (.f64 (log.f64 x) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))) (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)
(if (!=.f64 (.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) 0) (/.f64 (-.f64 (.f64 (.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))) (.f64 (.f64 (log.f64 x) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))))) (.f64 (log.f64 (+.f64 1 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))) (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)

localize3.0ms (0%)

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

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n))
✓	0.0b	(log.f64 (/.f64 1 x))
✓	0.3b	(/.f64 (log.f64 (/.f64 1 x)) n)

Compiler

Compiled 31 to 18 computations (41.9% saved)

series58.0ms (0.3%)

Counts

3 → 37

Calls

15 calls:

Time	Variable		Point	Expression
53.0ms	n	@	0	(/.f64 (log.f64 (/.f64 1 x)) n)
4.0ms	n	@	inf	(/.f64 (log.f64 (/.f64 1 x)) n)
0.0ms	n	@	-inf	(+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n))
0.0ms	n	@	-inf	(/.f64 (log.f64 (/.f64 1 x)) n)
0.0ms	n	@	0	(+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n))

rewrite96.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`rational_best-simplify-124`
612×	`rational_best-simplify-65`
610×	`rational_best-simplify-61`
598×	`rational_best-simplify-96`
590×	`rational_best-simplify-117`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	38	57
2	246	57
3	1663	57

Stop Event

1×	node limit

Counts

3 → 34

Calls

Call 1

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

Outputs

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

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

simplify116.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1144×	`rational_best-simplify-61`
1138×	`rational_best-simplify-65`
654×	`rational_best-simplify-3`
530×	`rational_best-simplify-62`
524×	`rational_best-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	1627
1	559	1587
2	3675	1575

Stop Event

1×	node limit

Counts

71 → 57

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

Outputs
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
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(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
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(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
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(if (!=.f64 (-.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n)) 0) (/.f64 (-.f64 (.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 (log.f64 (/.f64 1 x)) n)) (.f64 (/.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 x n) (/.f64 (log.f64 (/.f64 1 x)) n))
(if (!=.f64 (/.f64 (log.f64 (/.f64 1 x)) n) 0) (/.f64 (*.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n)) (/.f64 (log.f64 (/.f64 1 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))
(if (!=.f64 (neg.f64 (/.f64 x n)) 0) (/.f64 (*.f64 (/.f64 x n) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.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))
(if (!=.f64 (+.f64 (-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n)) (/.f64 x n)) 0) 0) (/.f64 (-.f64 0 (*.f64 (-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n)) (/.f64 x n)) (-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n)) (/.f64 x n)))) (+.f64 (-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n)) (/.f64 x n)) 0)) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n)))
(+.f64 (/.f64 x n) (/.f64 (log.f64 (/.f64 1 x)) n))

localize87.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(/.f64 1 (*.f64 (pow.f64 x 2) n))
✓	4.1b	(*.f64 (pow.f64 x 3) n)
✓	7.6b	(-.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))))
	8.4b	(*.f64 (pow.f64 x 2) n)

Compiler

Compiled 105 to 72 computations (31.4% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	n	@	0	(-.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))))
1.0ms	n	@	inf	(-.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))))
0.0ms	x	@	0	(-.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))))
0.0ms	n	@	-inf	(-.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))))
0.0ms	x	@	0	(*.f64 (pow.f64 x 3) n)

rewrite99.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`rational_best-simplify-65`
886×	`rational_best-simplify-61`
878×	`rational_best-simplify-96`
764×	`rational_best-simplify-3`
578×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	86
1	77	86
2	416	86
3	2723	86

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

Inputs
(-.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 (pow.f64 x 3) n)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 x n)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3))))) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2)) (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2)) (/.f64 1 (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (-.f64 (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 3))) -1/3) (/.f64 1 (*.f64 x n)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (-.f64 (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 3))) -1/3) (/.f64 1 (*.f64 x n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (-.f64 (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 3))) -1/3) (/.f64 1 (*.f64 x n)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (-.f64 (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 3))) -1/3) (/.f64 1 (*.f64 x n)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (-.f64 (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 3))) -1/3) (/.f64 1 (*.f64 x n))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))) (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))))) (-.f64 1 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (-.f64 (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 3))) -1/3) (/.f64 1 (*.f64 x n)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (-.f64 (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 3))) -1/3) (/.f64 1 (*.f64 x n))))) (+.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (-.f64 (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 3))) -1/3) (/.f64 1 (*.f64 x n)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (-.f64 (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 3))) -1/3) (/.f64 1 (*.f64 x n)))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))) (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))) (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2)))))) (+.f64 (-.f64 1 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2)))) (-.f64 1 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (-.f64 (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 3))) -1/3) (/.f64 1 (*.f64 x n)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) 0) (/.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3))))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))))) (*.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))) (+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) 0) (/.f64 (*.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3))))) 0) (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3))))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2) (-.f64 (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 3))) -1/3) (/.f64 1 (*.f64 x n)))) 0) (/.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3))))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))))) (*.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))) (+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 3))) -1/3) (/.f64 1 (*.f64 x n))) 0) (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3))))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (-.f64 (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 3))) -1/3) (/.f64 1 (*.f64 x n)))) 0) (/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (-.f64 (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 3))) -1/3) (/.f64 1 (*.f64 x n))))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (-.f64 (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 3))) -1/3) (/.f64 1 (*.f64 x n)))) 0) (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (-.f64 (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 3))) -1/3) (/.f64 1 (*.f64 x n)))) 0) (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (-.f64 (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 3))) -1/3) (/.f64 1 (*.f64 x n))))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2) 0) (/.f64 (*.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (-.f64 (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 3))) -1/3) (/.f64 1 (*.f64 x n)))) 0)) 0) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) -1/2))))))))

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

simplify145.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1246×	`rational_best-simplify-61`
872×	`rational_best-simplify-3`
782×	`rational_best-simplify-62`
698×	`rational_best-simplify-1`
552×	`rational_best-simplify-53`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	125	3861
1	611	3853
2	4217	3853

Stop Event

1×	node limit

Counts

81 → 47

Calls

Call 1

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

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

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
	0.3b	(/.f64 (log.f64 x) n)
✓	0.5b	(pow.f64 (log.f64 x) 2)
✓	0.8b	(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))

Compiler

Compiled 58 to 31 computations (46.6% saved)

series5.0ms (0%)

Counts

3 → 40

Calls

15 calls:

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

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`rational_best-simplify-126`
566×	`rational_best-simplify-124`
524×	`rational_best-simplify-96`
520×	`rational_best-simplify-61`
514×	`rational_best-simplify-117`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	83
1	42	79
2	233	79
3	1500	79

Stop Event

1×	node limit

Counts

3 → 25

Calls

Call 1

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

Outputs

()

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

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

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1050×	`rational_best-simplify-96`
1034×	`rational_best-simplify-61`
1024×	`rational_best-simplify-65`
682×	`rational_best-simplify-3`
554×	`rational_best-simplify-62`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	2693
1	543	2653
2	3883	2573

Stop Event

1×	node limit

Counts

65 → 47

Calls

Call 1

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

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

eval624.0ms (3.4%)

Compiler: Compiled 28860 to 19871 computations (31.1% saved)

prune244.0ms (1.3%)

Pruning

34 alts after pruning (25 fresh and 9 done)

	Pruned	Kept	Total
New	611	8	619
Fresh	0	17	17
Picked	1	0	1
Done	2	9	11
Total	614	34	648

Error

0.1b

Counts

648 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	49.2b	(if (!=.f64 (/.f64 (log.f64 (/.f64 1 x)) n) 0) (/.f64 (*.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n)) (/.f64 (log.f64 (/.f64 1 x)) n)) (/.f64 (log.f64 (/.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n)))
	43.3b	(if (!=.f64 (-.f64 (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2) (/.f64 1 (.f64 x n))) 0) (/.f64 (-.f64 (/.f64 1 (.f64 n (.f64 n (.f64 x x)))) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) 1/4))) (+.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))))) (+.f64 (/.f64 1 (.f64 x n)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) -1/2)))
	45.6b	(if (!=.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) n) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) 1/2)) 0) 0) (/.f64 (-.f64 0 (.f64 (+.f64 (/.f64 (log.f64 x) n) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) 1/2)) (+.f64 (/.f64 (log.f64 x) n) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) 1/2)))) (+.f64 (+.f64 (/.f64 (log.f64 x) n) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) 1/2)) 0)) (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) -1/2) (/.f64 (log.f64 x) n)))
	39.5b	(if (!=.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) 1/2) 0) (/.f64 (.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) -1/2) (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) -1/2) (/.f64 (log.f64 x) n))) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) -1/2)) (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) -1/2) (/.f64 (log.f64 x) n)))
	17.5b	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))) (.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))))) (-.f64 (.f64 (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))) (.f64 (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))))) n)
	17.4b	(/.f64 (/.f64 (-.f64 (.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (if (!=.f64 (.f64 (log.f64 x) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) 0) (/.f64 (.f64 (log.f64 x) (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2))) (.f64 (log.f64 x) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))) (pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2))) (-.f64 1 (.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))))) n)
	17.4b	(/.f64 (/.f64 (-.f64 (.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (/.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))))) (-.f64 1 (.f64 1 (/.f64 (-.f64 (.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))) (-.f64 1 (*.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))))))) n)
	18.1b	(/.f64 (/.f64 (-.f64 (.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (/.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))))) (-.f64 1 (.f64 1 (neg.f64 (log.f64 x))))) n)
	17.5b	(/.f64 (/.f64 (-.f64 (.f64 1 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))) (-.f64 1 (.f64 1 (/.f64 (-.f64 (.f64 (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))))) (.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))))) (-.f64 (.f64 (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))) (.f64 (+.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x)))) (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) (-.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))))))))))) n)
	40.6b	(/.f64 (/.f64 1 x) n)
	41.4b	(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
	39.8b	(/.f64 (-.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) -1/2) (/.f64 (log.f64 x) n)) (.f64 (+.f64 (/.f64 (log.f64 x) n) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) 1/2)) (+.f64 (/.f64 (log.f64 x) n) (.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) 1/2)))) (-.f64 1 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) -1/2) (/.f64 (log.f64 x) n))))
	41.1b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
✓	17.3b	(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
✓	39.6b	(/.f64 (-.f64 x (log.f64 x)) n)
	39.6b	(/.f64 (+.f64 (log.f64 (/.f64 1 x)) x) n)
	39.5b	(/.f64 (neg.f64 (/.f64 (+.f64 (log.f64 x) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) 1))) n)
	39.4b	(/.f64 (neg.f64 (log.f64 x)) n)
	28.3b	(/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 x n))
✓	61.1b	(/.f64 x n)
	41.2b	(/.f64 1 (*.f64 x n))
	56.2b	(-.f64 (if (!=.f64 (+.f64 (/.f64 x n) 1) 0) (/.f64 (-.f64 (.f64 (+.f64 (/.f64 x n) 1) (+.f64 (/.f64 x n) 1)) (.f64 (+.f64 (/.f64 x n) 1) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) -1/2))) (+.f64 (/.f64 x n) 1)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) 1/2) (+.f64 (/.f64 x n) 1))) (pow.f64 x (/.f64 1 n)))
	39.6b	(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
✓	41.9b	(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n))))
✓	56.1b	(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (pow.f64 x (/.f64 1 n)))
	54.0b	(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
	42.0b	(-.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)))))
✓	41.7b	(-.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))))
	58.3b	(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (+.f64 (.f64 (+.f64 (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 (/.f64 1 n) -1/3)) (.f64 (/.f64 1 (pow.f64 n 2)) -1/2)) (pow.f64 x 3)) (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))))) (pow.f64 x (/.f64 1 n)))
	39.7b	(-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) -1/2) (/.f64 (log.f64 x) n))
	55.6b	(-.f64 1 (if (!=.f64 (pow.f64 x (/.f64 1 n)) 0) (/.f64 (-.f64 (pow.f64 (*.f64 x x) (/.f64 1 n)) 0) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
✓	46.5b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
✓	46.5b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
✓	39.1b	(-.f64 1 1)

Compiler

Compiled 1238 to 863 computations (30.3% saved)

regimes564.0ms (3.1%)

Counts

47 → 2

Calls

Call 1

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

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

Calls

4 calls:

251.0ms	(/.f64 1 n)
162.0ms	n
107.0ms	x
6.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
6.2b	2	`x`
9.4b	7	`n`
12.8b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
8.9b	7	`(/.f64 1 n)`

Compiler

Compiled 1721 to 1153 computations (33% saved)

bsearch96.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
95.0ms	0.001546637078870608	1.613819931452469

Results

58.0ms	35×	body	512	valid
20.0ms	56×	body	1024	valid
6.0ms	29×	body	256	infinite
5.0ms	35×	body	256	valid
3.0ms	5×	body	256	unsamplable
1.0ms	2×	body	2048	valid

Compiler

Compiled 236 to 175 computations (25.8% saved)

regimes291.0ms (1.6%)

Counts

16 → 8

Calls

Call 1

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

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

Calls

3 calls:

170.0ms	(/.f64 1 n)
87.0ms	n
31.0ms	x

Results

Error	Segments	Branch
13.9b	3	`x`
10.4b	7	`n`
9.1b	8	`(/.f64 1 n)`

Compiler

Compiled 137 to 78 computations (43.1% saved)

bsearch1.0ms (0%)

Algorithm

7×	left-value

Steps

Time	Left	Right
0.0ms	7.155945581620477e-6	0.002100017578774316
0.0ms	9.630250752805645e-53	2.102491044358544e-49
0.0ms	3.6443777005750683e-81	9.343475962589398e-81
0.0ms	5.057438407628082e-97	6.084452856940676e-97
0.0ms	1.7540696608926934e-108	3.435514863326246e-108
0.0ms	-2.4922196897038443e-55	-2.82892005716932e-56
0.0ms	-608.3957250783902	-0.06619773975442642

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes186.0ms (1%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

3 calls:

87.0ms	n
53.0ms	x
42.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
14.1b	3	`x`
17.8b	7	`n`
17.8b	6	`(/.f64 1 n)`

Compiler

Compiled 128 to 73 computations (43% saved)

bsearch229.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
104.0ms	7.374718906159353e+115	2.5725695854823995e+120
125.0ms	0.001546637078870608	1.613819931452469

Results

164.0ms	113×	body	1024	valid
25.0ms	40×	body	2048	valid
18.0ms	46×	body	512	valid
9.0ms	57×	body	256	valid
8.0ms	42×	body	256	infinite
1.0ms	4×	body	256	unsamplable

Compiler

Compiled 428 to 343 computations (19.9% saved)

regimes181.0ms (1%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

67.0ms	x
66.0ms	n
45.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
14.4b	3	`x`
17.8b	7	`n`
17.8b	6	`(/.f64 1 n)`

Compiler

Compiled 93 to 50 computations (46.2% saved)

bsearch195.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
118.0ms	7.374718906159353e+115	2.5725695854823995e+120
77.0ms	0.001546637078870608	1.613819931452469

Results

87.0ms	40×	body	2048	valid
74.0ms	107×	body	1024	valid
11.0ms	70×	body	256	valid
10.0ms	39×	body	512	valid
6.0ms	28×	body	256	infinite
3.0ms	17×	body	256	unsamplable

Compiler

Compiled 300 to 231 computations (23% saved)

regimes143.0ms (0.8%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

60.0ms	n
46.0ms	(/.f64 1 n)
34.0ms	x

Results

Error	Segments	Branch
14.4b	3	`x`
18.1b	7	`n`
18.1b	6	`(/.f64 1 n)`

Compiler

Compiled 72 to 39 computations (45.8% saved)

bsearch141.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
88.0ms	7.374718906159353e+115	2.5725695854823995e+120
52.0ms	0.001546637078870608	1.613819931452469

Results

70.0ms	106×	body	1024	valid
31.0ms	44×	body	2048	valid
15.0ms	49×	body	512	valid
11.0ms	57×	body	256	valid
5.0ms	15×	body	256	unsamplable
5.0ms	24×	body	256	infinite

Compiler

Compiled 284 to 223 computations (21.5% saved)

regimes98.0ms (0.5%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	n
32.0ms	(/.f64 1 n)
21.0ms	x

Results

Error	Segments	Branch
14.5b	3	`x`
18.1b	7	`n`
18.1b	6	`(/.f64 1 n)`

Compiler

Compiled 55 to 32 computations (41.8% saved)

bsearch114.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
64.0ms	7.374718906159353e+115	2.5725695854823995e+120
50.0ms	0.001546637078870608	1.613819931452469

Results

56.0ms	124×	body	1024	valid
28.0ms	39×	body	2048	valid
13.0ms	65×	body	256	valid
7.0ms	28×	body	512	valid
3.0ms	18×	body	256	infinite
3.0ms	14×	body	256	unsamplable

Compiler

Compiled 284 to 215 computations (24.3% saved)

regimes95.0ms (0.5%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

40.0ms	n
32.0ms	(/.f64 1 n)
21.0ms	x

Results

Error	Segments	Branch
14.5b	3	`x`
18.1b	7	`n`
18.1b	6	`(/.f64 1 n)`

Compiler

Compiled 47 to 30 computations (36.2% saved)

bsearch153.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
93.0ms	7.374718906159353e+115	2.5725695854823995e+120
61.0ms	0.001546637078870608	1.613819931452469

Results

73.0ms	100×	body	1024	valid
32.0ms	75×	body	256	valid
27.0ms	43×	body	2048	valid
9.0ms	38×	body	512	valid
3.0ms	17×	body	256	infinite
2.0ms	10×	body	256	unsamplable

Compiler

Compiled 268 to 207 computations (22.8% saved)

regimes81.0ms (0.4%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

60.0ms	n
20.0ms	x

Results

Error	Segments	Branch
14.5b	3	`x`
22.4b	6	`n`

Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch175.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
143.0ms	7.374718906159353e+115	2.5725695854823995e+120
32.0ms	1.613819931452469	11.998935976069086

Results

119.0ms	96×	body	1024	valid
33.0ms	44×	body	2048	valid
10.0ms	58×	body	256	valid
6.0ms	26×	body	512	valid
4.0ms	20×	body	256	unsamplable

Compiler

Compiled 228 to 183 computations (19.7% saved)

regimes25.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	n
11.0ms	x

Results

Error	Segments	Branch
36.4b	2	`x`
28.2b	3	`n`

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch186.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
146.0ms	3.978090773624046e-57	2.4275131268395998e-51
39.0ms	-15.10625594936772	-0.0016436670390331106

Results

70.0ms	229×	body	256	valid
54.0ms	37×	body	256	infinite
36.0ms	168×	body	256	unsamplable
20.0ms	33×	body	1024	valid
3.0ms	10×	body	512	valid

Compiler

Compiled 258 to 219 computations (15.1% saved)

regimes22.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	n
9.0ms	x

Results

Error	Segments	Branch
36.5b	2	`x`
28.8b	3	`n`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch166.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
125.0ms	3.978090773624046e-57	2.4275131268395998e-51
41.0ms	-15.10625594936772	-0.0016436670390331106

Results

86.0ms	172×	body	256	unsamplable
43.0ms	220×	body	256	valid
18.0ms	39×	body	1024	valid
9.0ms	44×	body	256	infinite
4.0ms	13×	body	512	valid

Compiler

Compiled 258 to 219 computations (15.1% saved)

regimes7.0ms (0%)

Accuracy

Total -22.5b remaining (-57.6%)

Threshold costs -22.5b (-57.6%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(-.f64 1 1)

Calls

2 calls:

3.0ms	n
3.0ms	x

Results

Error	Segments	Branch
39.1b	1	`x`
39.1b	1	`n`

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	797

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x 3602879701896397/2251799813685248) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 x n)))
(if (<=.f64 (/.f64 1 n) -500) (-.f64 1 1) (if (<=.f64 (/.f64 1 n) -5521397077432451/27606985387162255149739023449108101809804435888681546220650096895197184) (/.f64 (/.f64 1 x) n) (if (<=.f64 (/.f64 1 n) 5288447750321989/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (if (<=.f64 (/.f64 1 n) 5771778251424973/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n) (if (<=.f64 (/.f64 1 n) 5339967589802275/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (if (<=.f64 (/.f64 1 n) 336999333339383/3369993333393829974333376885877453834204643052817571560137951281152) (/.f64 (/.f64 1 x) n) (if (<=.f64 (/.f64 1 n) 5902958103587057/590295810358705651712) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))))))))))
(if (<=.f64 x 2206763817411543/2251799813685248) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n)) (if (<=.f64 x 189999999999999994767222351011103529760309927086627280457990061017671056443218433221483195081395558509645858590576082944) (/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n) (-.f64 1 1)))
(if (<=.f64 x 1) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n)) (if (<=.f64 x 2200000000000000128020026563522605970482938572029939299757400473648783592499506150041752463482343972711898848657795973120) (/.f64 (/.f64 1 x) n) (-.f64 1 1)))
(if (<=.f64 x 1) (/.f64 (+.f64 (log.f64 (/.f64 1 x)) x) n) (if (<=.f64 x 2500000000000000093352334367864972429848318938622955095256932602594501270167874275344653342855281603763099757335548002304) (/.f64 (/.f64 1 x) n) (-.f64 1 1)))
(if (<=.f64 x 1) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) (if (<=.f64 x 999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (/.f64 (/.f64 1 x) n) (-.f64 1 1)))
(if (<=.f64 x 1) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 2400000000000000009345789433497870626275654845504993963566880677600881888545549925788566546044102057161926408187727052800) (/.f64 (/.f64 1 x) n) (-.f64 1 1)))
(if (<=.f64 x 3715469692580659/2251799813685248) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 2450000000000000051349061900681421528061986892063974529411906640097691579356712100566609944449691830462513082761637527552) (/.f64 (/.f64 1 x) n) (-.f64 1 1)))
(if (<=.f64 n -9/2) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 4583190933415609/53919893334301279589334030174039261347274288845081144962207220498432) (-.f64 1 1) (/.f64 (/.f64 1 x) n)))
(if (<=.f64 n -4165829655317709/562949953421312) (/.f64 1 (.f64 x n)) (if (<=.f64 n 2358995333375681/3369993333393829974333376885877453834204643052817571560137951281152) (-.f64 1 1) (/.f64 1 (.f64 x n))))
(-.f64 1 1)

Outputs
(if (<=.f64 x 3602879701896397/2251799813685248) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 x n)))
(if (<=.f64 (/.f64 1 n) -500) (-.f64 1 1) (if (<=.f64 (/.f64 1 n) -5521397077432451/27606985387162255149739023449108101809804435888681546220650096895197184) (/.f64 (/.f64 1 x) n) (if (<=.f64 (/.f64 1 n) 5288447750321989/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (if (<=.f64 (/.f64 1 n) 5771778251424973/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n) (if (<=.f64 (/.f64 1 n) 5339967589802275/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (if (<=.f64 (/.f64 1 n) 336999333339383/3369993333393829974333376885877453834204643052817571560137951281152) (/.f64 (/.f64 1 x) n) (if (<=.f64 (/.f64 1 n) 5902958103587057/590295810358705651712) (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))))))))))
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(-.f64 1 1)
0

Compiler

Compiled 329 to 234 computations (28.9% saved)

soundness65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

644×	`rational_best-simplify-124`
634×	`rational_best-simplify-126`
620×	`rational_best-simplify-65`
600×	`rational_best-simplify-61`
576×	`rational_best-simplify-62`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	284	7126
1	1603	6988

Stop Event

1×	node limit

Compiler

Compiled 52 to 34 computations (34.6% saved)

end180.0ms (1%)

Compiler: Compiled 309 to 206 computations (33.3% saved)