Details

analyze4.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
33.3%	25%	50%	0%	0%	25%	0%	3
75%	37.5%	12.5%	0%	12.5%	37.5%	0%	4
87.5%	43.7%	6.2%	0%	12.5%	37.5%	0%	5
93.8%	46.9%	3.1%	0%	12.5%	37.5%	0%	6
96.9%	48.4%	1.6%	0%	12.5%	37.5%	0%	7
98.4%	49.2%	0.8%	0%	12.5%	37.5%	0%	8
99.2%	49.6%	0.4%	0%	12.5%	37.5%	0%	9
99.6%	49.8%	0.2%	0%	12.5%	37.5%	0%	10
99.8%	49.9%	0.1%	0%	12.5%	37.5%	0%	11
99.9%	49.9%	0%	0%	12.5%	37.5%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample7.0s (8.5%)

Results

3.2s	2017×	body	1024	valid
2.6s	4953×	body	256	valid
746.0ms	1013×	body	512	valid
453.0ms	273×	body	2048	valid

Bogosity

preprocess72.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`rational_best-simplify-3`
2×	`rational_best-simplify-21`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	12	21
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Outputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify41.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best-simplify-3`
2×	`rational_best-simplify-21`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	12	21

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Outputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

eval244.0ms (0.3%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

30.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.5b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

localize51.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.9b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	2.2b	(log.f64 (+.f64 N 1))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite498.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1194×	`rational_best-simplify-108`
748×	`rational_best-simplify-83`
696×	`rational_best-simplify-47`
554×	`rational_best-simplify-57`
518×	`rational_best-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	58	32
2	110	32
3	275	32
4	1038	32
5	6841	32

Stop Event

1×	node limit

Counts

2 → 113

Calls

Call 1

Inputs
(log.f64 (+.f64 N 1))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 N 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (/.f64 (log.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 N) -2) (+.f64 (/.f64 (log.f64 N) -2) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 N 1)) 4) (+.f64 (/.f64 (log.f64 (+.f64 N 1)) 4) (/.f64 (log.f64 (+.f64 N 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 N 1)) 4) (/.f64 (.f64 (log.f64 (+.f64 N 1)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 N 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 N) (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (log.f64 N)) (neg.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (/.f64 (log.f64 (+.f64 N 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 N) (/.f64 (log.f64 (+.f64 N 1)) 2)) (+.f64 (/.f64 (log.f64 (+.f64 N 1)) -2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (+.f64 N 1)) (/.f64 (log.f64 N) 2)) (+.f64 (/.f64 (log.f64 N) -2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 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-2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (log.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (log.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (+.f64 N 1)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (log.f64 (+.f64 N 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (+.f64 N 1)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 N 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (+.f64 N 1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (+.f64 N 1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (+.f64 N 1)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 N) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (.f64 (log.f64 N) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (neg.f64 (.f64 (log.f64 N) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4)) (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (.f64 (log.f64 N) -2)) (+.f64 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (.f64 (log.f64 N) -2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (.f64 2 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 (+.f64 N 1)) 2) (neg.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (neg.f64 (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (+.f64 N 1))) (-.f64 (.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 N 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Outputs

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N 1)) (log.f64 N)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (log.f64 N) 4)) (*.f64 (log.f64 (+.f64 N 1)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) (neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 4)) (*.f64 2 (*.f64 (log.f64 N) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 4)) (*.f64 2 (*.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (*.f64 (log.f64 N) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (*.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (*.f64 2 (*.f64 (log.f64 N) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))) (+.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 4)) (*.f64 2 (*.f64 (log.f64 N) 4))) (-.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 4)) (*.f64 2 (*.f64 (log.f64 N) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (neg.f64 (*.f64 (log.f64 N) 4)) (*.f64 (log.f64 (+.f64 N 1)) 4)) (+.f64 (neg.f64 (*.f64 (log.f64 N) 4)) (*.f64 (log.f64 (+.f64 N 1)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 4)) (*.f64 2 (*.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))) (-.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 4)) (*.f64 2 (*.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (*.f64 (log.f64 N) 4)) (-.f64 (*.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (*.f64 (log.f64 N) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 2 (*.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (*.f64 2 (*.f64 (log.f64 N) 4))) (-.f64 (*.f64 2 (*.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (*.f64 2 (*.f64 (log.f64 N) 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))))

simplify851.0ms (1%)

Algorithm

1×	egg-herbie

Rules

810×	`rational_best-simplify-65`
778×	`rational_best-simplify-50`
772×	`rational_best-simplify-48`
706×	`rational_best-simplify-52`
554×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	276	3491
1	654	3253
2	1711	3125

Stop Event

1×	node limit

Counts

137 → 185

Calls

Call 1

Inputs
N
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3))))
(+.f64 N (+.f64 (.f64 -1/4 (pow.f64 N 4)) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(*.f64 -1 (log.f64 (/.f64 1 N)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (.f64 -1 (log.f64 (/.f64 -1 N))))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (log.f64 (+.f64 N 1)) 0)
(+.f64 0 (log.f64 (+.f64 N 1)))
(+.f64 (neg.f64 (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(+.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (/.f64 (log.f64 (+.f64 N 1)) 2))
(+.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (neg.f64 (log.f64 N)))
(+.f64 (/.f64 (log.f64 N) -2) (+.f64 (/.f64 (log.f64 N) -2) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(+.f64 (/.f64 (log.f64 (+.f64 N 1)) 4) (+.f64 (/.f64 (log.f64 (+.f64 N 1)) 4) (/.f64 (log.f64 (+.f64 N 1)) 2)))
(+.f64 (/.f64 (log.f64 (+.f64 N 1)) 4) (/.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) 4))
(-.f64 (log.f64 (+.f64 N 1)) 0)
(-.f64 (log.f64 N) (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(-.f64 0 (neg.f64 (log.f64 (+.f64 N 1))))
(-.f64 (neg.f64 (log.f64 N)) (neg.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 (+.f64 N 1)))
(-.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (/.f64 (log.f64 (+.f64 N 1)) -2))
(-.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (log.f64 N))
(-.f64 (+.f64 (log.f64 N) (/.f64 (log.f64 (+.f64 N 1)) 2)) (+.f64 (/.f64 (log.f64 (+.f64 N 1)) -2) (log.f64 N)))
(-.f64 (+.f64 (log.f64 (+.f64 N 1)) (/.f64 (log.f64 N) 2)) (+.f64 (/.f64 (log.f64 N) -2) (log.f64 N)))
(-.f64 (+.f64 (/.f64 (log.f64 (+.f64 N 1)) 4) (/.f64 (log.f64 (+.f64 N 1)) 2)) (neg.f64 (/.f64 (log.f64 (+.f64 N 1)) 4)))
(-.f64 (/.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) 4) (/.f64 (neg.f64 (log.f64 (+.f64 N 1))) 4))
(-.f64 (+.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (+.f64 (log.f64 N) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(*.f64 1 (log.f64 (+.f64 N 1)))
(*.f64 (log.f64 (+.f64 N 1)) 1)
(*.f64 -1 (neg.f64 (log.f64 (+.f64 N 1))))
(*.f64 2 (/.f64 (log.f64 (+.f64 N 1)) 2))
(.f64 2 (.f64 (log.f64 (+.f64 N 1)) 1/2))
(.f64 (.f64 (log.f64 (+.f64 N 1)) 2) 1/2)
(*.f64 -2 (/.f64 (log.f64 (+.f64 N 1)) -2))
(.f64 1/2 (.f64 (log.f64 (+.f64 N 1)) 2))
(*.f64 (neg.f64 (log.f64 (+.f64 N 1))) -1)
(.f64 (.f64 (log.f64 (+.f64 N 1)) 4) 1/4)
(.f64 1/4 (.f64 (log.f64 (+.f64 N 1)) 4))
(.f64 (.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 4)) 1/8)
(.f64 (.f64 (log.f64 (+.f64 N 1)) 1/2) 2)
(.f64 1/8 (.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 4)))
(/.f64 (log.f64 (+.f64 N 1)) 1)
(/.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) 2)
(/.f64 (neg.f64 (log.f64 (+.f64 N 1))) -1)
(/.f64 (*.f64 (log.f64 (+.f64 N 1)) 4) 4)
(/.f64 (*.f64 (log.f64 (+.f64 N 1)) -2) -2)
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4)) 8)
(/.f64 (+.f64 (log.f64 N) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 1)
(/.f64 (+.f64 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (.f64 (log.f64 N) -2)) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (neg.f64 (*.f64 (log.f64 N) 4))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4)) (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4))) 16)
(/.f64 (+.f64 (+.f64 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (.f64 (log.f64 N) -2)) (+.f64 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (.f64 (log.f64 N) -2))) 4)
(/.f64 (+.f64 (+.f64 (.f64 2 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (neg.f64 (.f64 (log.f64 N) 4))) (+.f64 (.f64 2 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (neg.f64 (.f64 (log.f64 N) 4)))) 8)
(/.f64 (+.f64 (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4)) (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4))) (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4)) (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4)))) 32)
(pow.f64 (log.f64 (+.f64 N 1)) 1)
(neg.f64 (neg.f64 (log.f64 (+.f64 N 1))))
(+.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)
(+.f64 0 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(+.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (neg.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(+.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (neg.f64 (log.f64 (+.f64 N 1))))
(+.f64 (neg.f64 (log.f64 (+.f64 N 1))) (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)))
(+.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))
(+.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (-.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)))
(+.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (*.f64 (log.f64 N) -2))
(+.f64 (*.f64 3 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2)) (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2))
(+.f64 (+.f64 (log.f64 (+.f64 N 1)) (*.f64 (log.f64 N) -2)) (log.f64 N))
(+.f64 (+.f64 (log.f64 (+.f64 N 1)) (/.f64 (log.f64 N) -2)) (/.f64 (log.f64 N) -2))
(+.f64 (+.f64 (log.f64 (+.f64 N 1)) (/.f64 (log.f64 N) -2)) (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 (+.f64 N 1)) (/.f64 (log.f64 N) 2))))
(+.f64 (/.f64 (log.f64 N) -2) (+.f64 (log.f64 (+.f64 N 1)) (/.f64 (log.f64 N) -2)))
(+.f64 (/.f64 (log.f64 N) -2) (-.f64 (/.f64 (log.f64 N) -2) (neg.f64 (log.f64 (+.f64 N 1)))))
(+.f64 (/.f64 (log.f64 (+.f64 N 1)) 4) (+.f64 (/.f64 (log.f64 (+.f64 N 1)) 4) (-.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N))))
(+.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) (+.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2)))
(+.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) (/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 3) 4))
(+.f64 (-.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (/.f64 (log.f64 (+.f64 N 1)) 2))
(+.f64 (-.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (neg.f64 (/.f64 (log.f64 (+.f64 N 1)) -2)))
(+.f64 (-.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (*.f64 3 (/.f64 (log.f64 (+.f64 N 1)) 2)))
(+.f64 (*.f64 3 (/.f64 (log.f64 (+.f64 N 1)) 2)) (neg.f64 (+.f64 (log.f64 N) (/.f64 (log.f64 (+.f64 N 1)) 2))))
(+.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (/.f64 (log.f64 N) 2)) (neg.f64 (+.f64 (log.f64 (+.f64 N 1)) (/.f64 (log.f64 N) 2))))
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (/.f64 (log.f64 N) 2)) (/.f64 (*.f64 (log.f64 N) 3) -2))
(+.f64 (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (/.f64 (log.f64 N) -2)) 2) (/.f64 (-.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) (log.f64 N)) 4))
(+.f64 (-.f64 -1 (log.f64 N)) (-.f64 1 (neg.f64 (log.f64 (+.f64 N 1)))))
(+.f64 (-.f64 -1 (neg.f64 (log.f64 (+.f64 N 1)))) (-.f64 1 (log.f64 N)))
(*.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(*.f64 -1 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(*.f64 2 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))
(.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) 1/2)
(*.f64 -2 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2))
(.f64 1/2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 1/4)
(.f64 1/4 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))
(.f64 (.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) 1/8)
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) 2)
(.f64 1/8 (.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)))
(/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(/.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) 2)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) 8)
(/.f64 (neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) -4)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))) 16)
(/.f64 (+.f64 (neg.f64 (.f64 (log.f64 N) 4)) (.f64 (log.f64 (+.f64 N 1)) 4)) 4)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))) -8)
(/.f64 (-.f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4)) (.f64 2 (.f64 (log.f64 N) 4))) 8)
(/.f64 (-.f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4)) (.f64 2 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))) 4)
(/.f64 (-.f64 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (.f64 (log.f64 N) 4)) 2)
(/.f64 (-.f64 (.f64 2 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (.f64 2 (.f64 (log.f64 N) 4))) 4)
(/.f64 (+.f64 (+.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))) (+.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)))) 32)
(/.f64 (+.f64 (-.f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4)) (.f64 2 (.f64 (log.f64 N) 4))) (-.f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4)) (.f64 2 (.f64 (log.f64 N) 4)))) 16)
(/.f64 (+.f64 (+.f64 (neg.f64 (.f64 (log.f64 N) 4)) (.f64 (log.f64 (+.f64 N 1)) 4)) (+.f64 (neg.f64 (.f64 (log.f64 N) 4)) (.f64 (log.f64 (+.f64 N 1)) 4))) 8)
(/.f64 (+.f64 (-.f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4)) (.f64 2 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))) (-.f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4)) (.f64 2 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) 8)
(/.f64 (+.f64 (-.f64 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (.f64 (log.f64 N) 4)) (-.f64 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (.f64 (log.f64 N) 4))) 4)
(/.f64 (+.f64 (-.f64 (.f64 2 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (.f64 2 (.f64 (log.f64 N) 4))) (-.f64 (.f64 2 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (.f64 2 (.f64 (log.f64 N) 4)))) 8)
(pow.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(neg.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))

Outputs
N
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3))))
(+.f64 (.f64 -1/2 (pow.f64 N 2)) (+.f64 (.f64 1/3 (pow.f64 N 3)) N))
(+.f64 (.f64 -1/2 (pow.f64 N 2)) (+.f64 N (.f64 1/3 (pow.f64 N 3))))
(+.f64 N (+.f64 (.f64 -1/4 (pow.f64 N 4)) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (+.f64 (.f64 1/3 (pow.f64 N 3)) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (*.f64 -1/4 (pow.f64 N 4)))))
(+.f64 N (+.f64 (.f64 -1/2 (pow.f64 N 2)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/4 (pow.f64 N 4)))))
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 -1/4 (pow.f64 N 4))) (+.f64 N (*.f64 1/3 (pow.f64 N 3))))
(*.f64 -1 (log.f64 (/.f64 1 N)))
(neg.f64 (log.f64 (/.f64 1 N)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (*.f64 -1 (log.f64 (/.f64 1 N))))
(+.f64 (/.f64 1 N) (neg.f64 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 -1 (log.f64 (/.f64 1 N)))) (.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (neg.f64 (log.f64 (/.f64 1 N)))) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (neg.f64 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (neg.f64 (log.f64 (/.f64 1 N))) (.f64 1 (/.f64 1/3 (pow.f64 N 3))))) (.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1 N) (log.f64 (/.f64 1 N)))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(+.f64 (/.f64 1 N) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (.f64 -1 (log.f64 (/.f64 -1 N))))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (.f64 -1 (log.f64 (/.f64 -1 N))))) (.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (+.f64 (/.f64 1 N) (neg.f64 (log.f64 (/.f64 -1 N)))) (+.f64 (.f64 1 (/.f64 1/3 (pow.f64 N 3))) (log.f64 -1))) (.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (+.f64 (/.f64 1 N) (neg.f64 (log.f64 (/.f64 -1 N)))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (log.f64 -1))) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (neg.f64 (log.f64 N))))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (+.f64 (.f64 -1/2 (pow.f64 N 2)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (neg.f64 (log.f64 N)))))
(+.f64 (neg.f64 (log.f64 N)) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (+.f64 (.f64 1/3 (pow.f64 N 3)) N)))
(+.f64 N (+.f64 (.f64 -1/2 (pow.f64 N 2)) (-.f64 (.f64 1/3 (pow.f64 N 3)) (log.f64 N))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1 (/.f64 1/3 (pow.f64 N 3)))) (.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1 (/.f64 1/2 (pow.f64 N 2))) (*.f64 1 (/.f64 1/4 (pow.f64 N 4)))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1 (/.f64 1/3 (pow.f64 N 3)))) (+.f64 (.f64 1 (/.f64 1/2 (pow.f64 N 2))) (*.f64 1 (/.f64 1/4 (pow.f64 N 4)))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1 N)) (/.f64 1/2 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1 (/.f64 1/3 (pow.f64 N 3)))) (.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1 (/.f64 1/2 (pow.f64 N 2))) (*.f64 1 (/.f64 1/4 (pow.f64 N 4)))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1 (/.f64 1/3 (pow.f64 N 3)))) (+.f64 (.f64 1 (/.f64 1/2 (pow.f64 N 2))) (*.f64 1 (/.f64 1/4 (pow.f64 N 4)))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1 N)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (log.f64 (+.f64 N 1)) 0)
(log.f64 (+.f64 N 1))
(+.f64 0 (log.f64 (+.f64 N 1)))
(log.f64 (+.f64 N 1))
(+.f64 (neg.f64 (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(log.f64 (+.f64 N 1))
(+.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (/.f64 (log.f64 (+.f64 N 1)) 2))
(log.f64 (+.f64 N 1))
(+.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (neg.f64 (log.f64 N)))
(log.f64 (+.f64 N 1))
(+.f64 (/.f64 (log.f64 N) -2) (+.f64 (/.f64 (log.f64 N) -2) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(log.f64 (+.f64 N 1))
(+.f64 (/.f64 (log.f64 (+.f64 N 1)) 4) (+.f64 (/.f64 (log.f64 (+.f64 N 1)) 4) (/.f64 (log.f64 (+.f64 N 1)) 2)))
(log.f64 (+.f64 N 1))
(+.f64 (/.f64 (log.f64 (+.f64 N 1)) 4) (/.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) 4))
(log.f64 (+.f64 N 1))
(-.f64 (log.f64 (+.f64 N 1)) 0)
(log.f64 (+.f64 N 1))
(-.f64 (log.f64 N) (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(log.f64 (+.f64 N 1))
(-.f64 0 (neg.f64 (log.f64 (+.f64 N 1))))
(log.f64 (+.f64 N 1))
(-.f64 (neg.f64 (log.f64 N)) (neg.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(log.f64 (+.f64 N 1))
(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 (+.f64 N 1)))
(log.f64 (+.f64 N 1))
(-.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (/.f64 (log.f64 (+.f64 N 1)) -2))
(log.f64 (+.f64 N 1))
(-.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (log.f64 N))
(log.f64 (+.f64 N 1))
(-.f64 (+.f64 (log.f64 N) (/.f64 (log.f64 (+.f64 N 1)) 2)) (+.f64 (/.f64 (log.f64 (+.f64 N 1)) -2) (log.f64 N)))
(log.f64 (+.f64 N 1))
(-.f64 (+.f64 (log.f64 (+.f64 N 1)) (/.f64 (log.f64 N) 2)) (+.f64 (/.f64 (log.f64 N) -2) (log.f64 N)))
(log.f64 (+.f64 N 1))
(-.f64 (+.f64 (/.f64 (log.f64 (+.f64 N 1)) 4) (/.f64 (log.f64 (+.f64 N 1)) 2)) (neg.f64 (/.f64 (log.f64 (+.f64 N 1)) 4)))
(log.f64 (+.f64 N 1))
(-.f64 (/.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) 4) (/.f64 (neg.f64 (log.f64 (+.f64 N 1))) 4))
(log.f64 (+.f64 N 1))
(-.f64 (+.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (+.f64 (log.f64 N) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(log.f64 (+.f64 N 1))
(*.f64 1 (log.f64 (+.f64 N 1)))
(log.f64 (+.f64 N 1))
(*.f64 (log.f64 (+.f64 N 1)) 1)
(log.f64 (+.f64 N 1))
(*.f64 -1 (neg.f64 (log.f64 (+.f64 N 1))))
(log.f64 (+.f64 N 1))
(*.f64 2 (/.f64 (log.f64 (+.f64 N 1)) 2))
(log.f64 (+.f64 N 1))
(.f64 2 (.f64 (log.f64 (+.f64 N 1)) 1/2))
(log.f64 (+.f64 N 1))
(.f64 (.f64 (log.f64 (+.f64 N 1)) 2) 1/2)
(log.f64 (+.f64 N 1))
(*.f64 -2 (/.f64 (log.f64 (+.f64 N 1)) -2))
(log.f64 (+.f64 N 1))
(.f64 1/2 (.f64 (log.f64 (+.f64 N 1)) 2))
(log.f64 (+.f64 N 1))
(*.f64 (neg.f64 (log.f64 (+.f64 N 1))) -1)
(log.f64 (+.f64 N 1))
(.f64 (.f64 (log.f64 (+.f64 N 1)) 4) 1/4)
(log.f64 (+.f64 N 1))
(.f64 1/4 (.f64 (log.f64 (+.f64 N 1)) 4))
(log.f64 (+.f64 N 1))
(.f64 (.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 4)) 1/8)
(log.f64 (+.f64 N 1))
(.f64 (.f64 (log.f64 (+.f64 N 1)) 1/2) 2)
(log.f64 (+.f64 N 1))
(.f64 1/8 (.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 4)))
(log.f64 (+.f64 N 1))
(/.f64 (log.f64 (+.f64 N 1)) 1)
(log.f64 (+.f64 N 1))
(/.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) 2)
(log.f64 (+.f64 N 1))
(/.f64 (neg.f64 (log.f64 (+.f64 N 1))) -1)
(log.f64 (+.f64 N 1))
(/.f64 (*.f64 (log.f64 (+.f64 N 1)) 4) 4)
(log.f64 (+.f64 N 1))
(/.f64 (*.f64 (log.f64 (+.f64 N 1)) -2) -2)
(log.f64 (+.f64 N 1))
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4)) 8)
(log.f64 (+.f64 N 1))
(/.f64 (+.f64 (log.f64 N) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 1)
(log.f64 (+.f64 N 1))
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(/.f64 (+.f64 (.f64 2 (+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) (.f64 (log.f64 N) -2)) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (neg.f64 (*.f64 (log.f64 N) 4))) 4)
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(/.f64 (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4)) (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4))) 16)
(log.f64 (+.f64 N 1))
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(log.f64 (+.f64 N 1))
(pow.f64 (log.f64 (+.f64 N 1)) 1)
(log.f64 (+.f64 N 1))
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(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
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(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 0 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
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(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
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(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
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(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
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(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (*.f64 (log.f64 N) -2))
(+.f64 (+.f64 (log.f64 N) (log.f64 (+.f64 N 1))) (*.f64 (log.f64 N) -2))
(+.f64 (log.f64 N) (+.f64 (log.f64 (+.f64 N 1)) (*.f64 (log.f64 N) -2)))
(+.f64 (log.f64 N) (-.f64 (log.f64 (+.f64 N 1)) (/.f64 (log.f64 N) 1/2)))
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(+.f64 (+.f64 (log.f64 (+.f64 N 1)) (*.f64 (log.f64 N) -2)) (log.f64 N))
(+.f64 (+.f64 (log.f64 N) (log.f64 (+.f64 N 1))) (*.f64 (log.f64 N) -2))
(+.f64 (log.f64 N) (+.f64 (log.f64 (+.f64 N 1)) (*.f64 (log.f64 N) -2)))
(+.f64 (log.f64 N) (-.f64 (log.f64 (+.f64 N 1)) (/.f64 (log.f64 N) 1/2)))
(+.f64 (+.f64 (log.f64 (+.f64 N 1)) (/.f64 (log.f64 N) -2)) (/.f64 (log.f64 N) -2))
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(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (+.f64 (log.f64 (+.f64 N 1)) (/.f64 (log.f64 N) -2)) (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 (+.f64 N 1)) (/.f64 (log.f64 N) 2))))
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(+.f64 (/.f64 (log.f64 N) -2) (-.f64 (/.f64 (log.f64 N) -2) (neg.f64 (log.f64 (+.f64 N 1)))))
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(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
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(+.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) (+.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2)))
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(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) (/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 3) 4))
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(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (-.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (/.f64 (log.f64 (+.f64 N 1)) 2))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (-.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (neg.f64 (/.f64 (log.f64 (+.f64 N 1)) -2)))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (-.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (*.f64 3 (/.f64 (log.f64 (+.f64 N 1)) 2)))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (*.f64 3 (/.f64 (log.f64 (+.f64 N 1)) 2)) (neg.f64 (+.f64 (log.f64 N) (/.f64 (log.f64 (+.f64 N 1)) 2))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (/.f64 (log.f64 N) 2)) (neg.f64 (+.f64 (log.f64 (+.f64 N 1)) (/.f64 (log.f64 N) 2))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (/.f64 (log.f64 N) 2)) (/.f64 (*.f64 (log.f64 N) 3) -2))
(+.f64 (-.f64 (+.f64 (log.f64 N) (log.f64 (+.f64 N 1))) (/.f64 (log.f64 N) 2)) (/.f64 (*.f64 3 (log.f64 N)) -2))
(+.f64 (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (/.f64 (log.f64 N) -2)) 2) (/.f64 (-.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) (log.f64 N)) 4))
(+.f64 (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (/.f64 (log.f64 N) -2)) 2) (/.f64 (-.f64 (*.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (log.f64 N)) 4))
(+.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (/.f64 (log.f64 N) -4)) (-.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) (/.f64 (log.f64 N) 4)))
(/.f64 (+.f64 (-.f64 (.f64 2 (log.f64 (+.f64 N 1))) (log.f64 N)) (-.f64 (.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (log.f64 N))) 4)
(+.f64 (-.f64 -1 (log.f64 N)) (-.f64 1 (neg.f64 (log.f64 (+.f64 N 1)))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (-.f64 -1 (neg.f64 (log.f64 (+.f64 N 1)))) (-.f64 1 (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 -1 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 2 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) 1/2)
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 -2 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 1/2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 1/4)
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 1/4 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 (.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) 1/8)
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) 2)
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 1/8 (.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) 2)
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) -2)
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) 8)
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) -4)
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))) 16)
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (+.f64 (neg.f64 (.f64 (log.f64 N) 4)) (.f64 (log.f64 (+.f64 N 1)) 4)) 4)
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))) -8)
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (-.f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4)) (.f64 2 (.f64 (log.f64 N) 4))) 8)
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (-.f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4)) (.f64 2 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))) 4)
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (-.f64 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (.f64 (log.f64 N) 4)) 2)
(/.f64 (-.f64 (.f64 2 (+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) (.f64 4 (log.f64 N))) 2)
(/.f64 (.f64 4 (-.f64 (+.f64 (log.f64 N) (log.f64 (+.f64 N 1))) (.f64 2 (log.f64 N)))) 4)
(/.f64 (-.f64 (.f64 2 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (.f64 2 (.f64 (log.f64 N) 4))) 4)
(/.f64 (-.f64 (.f64 2 (+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) (.f64 4 (log.f64 N))) 2)
(/.f64 (.f64 4 (-.f64 (+.f64 (log.f64 N) (log.f64 (+.f64 N 1))) (.f64 2 (log.f64 N)))) 4)
(/.f64 (+.f64 (+.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))) (+.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)))) 32)
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (+.f64 (-.f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4)) (.f64 2 (.f64 (log.f64 N) 4))) (-.f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4)) (.f64 2 (.f64 (log.f64 N) 4)))) 16)
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (+.f64 (+.f64 (neg.f64 (.f64 (log.f64 N) 4)) (.f64 (log.f64 (+.f64 N 1)) 4)) (+.f64 (neg.f64 (.f64 (log.f64 N) 4)) (.f64 (log.f64 (+.f64 N 1)) 4))) 8)
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (+.f64 (-.f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4)) (.f64 2 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))) (-.f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 4)) (.f64 2 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) 8)
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (+.f64 (-.f64 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (.f64 (log.f64 N) 4)) (-.f64 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (.f64 (log.f64 N) 4))) 4)
(/.f64 (-.f64 (.f64 2 (+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) (.f64 4 (log.f64 N))) 2)
(/.f64 (.f64 4 (-.f64 (+.f64 (log.f64 N) (log.f64 (+.f64 N 1))) (.f64 2 (log.f64 N)))) 4)
(/.f64 (+.f64 (-.f64 (.f64 2 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (.f64 2 (.f64 (log.f64 N) 4))) (-.f64 (.f64 2 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (.f64 2 (.f64 (log.f64 N) 4)))) 8)
(/.f64 (-.f64 (.f64 2 (+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) (.f64 4 (log.f64 N))) 2)
(/.f64 (.f64 4 (-.f64 (+.f64 (log.f64 N) (log.f64 (+.f64 N 1))) (.f64 2 (log.f64 N)))) 4)
(pow.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(neg.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

eval636.0ms (0.8%)

Compiler: Compiled 3048 to 2185 computations (28.3% saved)

prune171.0ms (0.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	174	11	185
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	174	12	186

Error

0.1b

Counts

186 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.8b	(/.f64 1 N)
▶	30.8b	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
	30.6b	(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1 N)) (/.f64 1/2 (pow.f64 N 2))))
▶	30.3b	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
	30.6b	(-.f64 (+.f64 (/.f64 1 N) (.f64 1 (/.f64 1/3 (pow.f64 N 3)))) (+.f64 (.f64 1 (/.f64 1/2 (pow.f64 N 2))) (*.f64 1 (/.f64 1/4 (pow.f64 N 4)))))
	33.6b	(-.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) (log.f64 N))
✓	30.5b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
	32.6b	(-.f64 N (log.f64 N))
	30.5b	(+.f64 (+.f64 (log.f64 (+.f64 N 1)) (*.f64 (log.f64 N) -2)) (log.f64 N))
	30.8b	(+.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 3/2) (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2))
▶	30.5b	(+.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (neg.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
▶	33.6b	(neg.f64 (log.f64 N))

Compiler

Compiled 306 to 240 computations (21.6% saved)

localize5.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize15.0ms (0%)

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

localize32.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓	0.5b	(/.f64 1/2 (pow.f64 N 2))

Compiler

Compiled 25 to 19 computations (24% saved)

series23.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	N	@	0	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
1.0ms	N	@	0	(/.f64 1/2 (pow.f64 N 2))
0.0ms	N	@	inf	(/.f64 1/2 (pow.f64 N 2))
0.0ms	N	@	-inf	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
0.0ms	N	@	inf	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))

rewrite388.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`rational_best-simplify-47`
808×	`rational_best-simplify-51`
792×	`rational_best-simplify-57`
758×	`rational_best-simplify-48`
714×	`rational_best-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	67	38
2	132	38
3	365	38
4	1412	38

Stop Event

1×	node limit

Counts

2 → 103

Calls

Call 1

Inputs
(/.f64 1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (pow.f64 N 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (pow.f64 N 2)) (neg.f64 (/.f64 -1/4 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/8 (pow.f64 N 2)) (+.f64 (/.f64 1/8 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/8 (pow.f64 N 2)) (/.f64 (/.f64 3/4 (pow.f64 N 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/8 (pow.f64 N 2)) (/.f64 (/.f64 3/2 (pow.f64 N 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 3/4 (pow.f64 N 2)) 2) (/.f64 1/8 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (pow.f64 N 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/8 (pow.f64 N 2)) (/.f64 (/.f64 -3/4 (pow.f64 N 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 3/4 (pow.f64 N 2)) 2) (/.f64 (/.f64 -1/4 (pow.f64 N 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 3/2 (pow.f64 N 2)) 4) (/.f64 (/.f64 -1/2 (pow.f64 N 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 1 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1/4 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 1/2 (/.f64 1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (pow.f64 N 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/2 (pow.f64 N 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 1/8 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (/.f64 1/4 (pow.f64 N 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 N 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (pow.f64 N 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (/.f64 1/2 (.f64 2 (.f64 (pow.f64 N 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (/.f64 1 (.f64 (.f64 (pow.f64 N 2) 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (pow.f64 N 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (/.f64 1/2 (pow.f64 N 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (pow.f64 N 2)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/8 (pow.f64 N 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (pow.f64 N 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1/2 (pow.f64 N 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 (pow.f64 N 2)) (neg.f64 (/.f64 -1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 N) (neg.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 2 N)) (/.f64 -1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 -1 N)) (/.f64 -1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 N) (+.f64 (/.f64 1/4 N) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 N) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 N) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1/2 N) (/.f64 -1/4 (pow.f64 N 2))) (+.f64 (/.f64 1/2 N) (/.f64 -1/4 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) (/.f64 -1 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/2 N) (/.f64 3/4 (pow.f64 N 2)))) (+.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 -1/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N)) (/.f64 1/2 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N)) (neg.f64 (/.f64 -1/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))) (/.f64 1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/4 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 -1/4 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/4 (pow.f64 N 2)) (+.f64 (/.f64 -1/4 (pow.f64 N 2)) (neg.f64 (/.f64 -1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/4 (pow.f64 N 2)) (neg.f64 (+.f64 (/.f64 -1 N) (/.f64 1/4 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/4 (pow.f64 N 2)) (/.f64 (+.f64 (/.f64 -1 N) (/.f64 1/4 (pow.f64 N 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 N) (+.f64 (/.f64 -1/2 N) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 N) (/.f64 -1/4 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1/4 N) (/.f64 1/8 (pow.f64 N 2))) (+.f64 (-.f64 (/.f64 1/4 N) (/.f64 1/8 (pow.f64 N 2))) (+.f64 (/.f64 1/2 N) (/.f64 -1/4 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1/4 N) (/.f64 1/8 (pow.f64 N 2))) (/.f64 (.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1/4 N) (/.f64 1/8 (pow.f64 N 2))) (/.f64 (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/2 N) (/.f64 3/4 (pow.f64 N 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))) (-.f64 1 (/.f64 -1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 -1 N)) (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 -1 N)) (+.f64 1 (/.f64 -1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 -1/2 (pow.f64 N 2))) (-.f64 -1 (/.f64 -1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 2 N) (/.f64 1/4 (pow.f64 N 2))) (neg.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 2 N) (/.f64 1 N)) (/.f64 -1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 2 N) (/.f64 1/2 N)) (neg.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) (/.f64 1/4 (pow.f64 N 2))) (neg.f64 (/.f64 3/4 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) (/.f64 3/4 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 2 N)) 4) (/.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (-.f64 (/.f64 2 N) (/.f64 1 (pow.f64 N 2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 -1 N) (/.f64 1/4 (pow.f64 N 2))) -1) (/.f64 -1/4 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1/2 N)) -1) (/.f64 (/.f64 -1/2 N) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (/.f64 2 N) (/.f64 1 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (/.f64 4 N) (+.f64 (/.f64 2 N) (/.f64 1 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (/.f64 1/2 N) (/.f64 -1/4 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (-.f64 (/.f64 1/2 N) (.f64 1/2 (/.f64 1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (-.f64 (/.f64 1/4 N) (/.f64 1/8 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (/.f64 2 N) (/.f64 1 (pow.f64 N 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 4 N) (/.f64 -2 (pow.f64 N 2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (+.f64 (/.f64 4 N) (/.f64 -2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (/.f64 2 N) (/.f64 1 (pow.f64 N 2))) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 2 N) (/.f64 1 (pow.f64 N 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 4 N) (/.f64 -2 (pow.f64 N 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/2 N) (/.f64 -1/4 (pow.f64 N 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 2 N)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 -1/2 N)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (/.f64 2 N) (/.f64 1 (pow.f64 N 2))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 4 N)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 4 N)) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 N) (+.f64 (/.f64 2 N) (/.f64 1 (pow.f64 N 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -2 (pow.f64 N 2)) (/.f64 4 N)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 8 N) (/.f64 4 (pow.f64 N 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 8 N) (-.f64 (/.f64 4 N) (/.f64 -2 (pow.f64 N 2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (/.f64 2 N) (/.f64 1 (pow.f64 N 2))) (/.f64 2 (pow.f64 N 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (/.f64 4 N) (/.f64 -2 (pow.f64 N 2))) (/.f64 4 (pow.f64 N 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (pow.f64 N 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (pow.f64 N 2)) (neg.f64 (/.f64 -1/4 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/8 (pow.f64 N 2)) (+.f64 (/.f64 1/8 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/8 (pow.f64 N 2)) (/.f64 (/.f64 3/4 (pow.f64 N 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/8 (pow.f64 N 2)) (/.f64 (/.f64 3/2 (pow.f64 N 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 3/4 (pow.f64 N 2)) 2) (/.f64 1/8 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (pow.f64 N 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/8 (pow.f64 N 2)) (/.f64 (/.f64 -3/4 (pow.f64 N 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 3/4 (pow.f64 N 2)) 2) (/.f64 (/.f64 -1/4 (pow.f64 N 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 3/2 (pow.f64 N 2)) 4) (/.f64 (/.f64 -1/2 (pow.f64 N 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/4 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (/.f64 1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 N 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (pow.f64 N 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1/8 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 1/4 (pow.f64 N 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 N 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 N 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 1/2 (*.f64 2 (*.f64 (pow.f64 N 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 1 (*.f64 (*.f64 (pow.f64 N 2) 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (pow.f64 N 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1/2 (pow.f64 N 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (pow.f64 N 2)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/8 (pow.f64 N 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (pow.f64 N 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1/2 (pow.f64 N 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 (pow.f64 N 2)) (neg.f64 (/.f64 -1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 N) (neg.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 2 N)) (/.f64 -1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 -1 N)) (/.f64 -1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 N) (+.f64 (/.f64 1/4 N) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 N) 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((x /.f64 (+.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 -1/2 N)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (/.f64 2 N) (/.f64 1 (pow.f64 N 2))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 4 N)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 4 N)) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 N) (+.f64 (/.f64 2 N) (/.f64 1 (pow.f64 N 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -2 (pow.f64 N 2)) (/.f64 4 N)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 8 N) (/.f64 4 (pow.f64 N 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 8 N) (-.f64 (/.f64 4 N) (/.f64 -2 (pow.f64 N 2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (/.f64 2 N) (/.f64 1 (pow.f64 N 2))) (/.f64 2 (pow.f64 N 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (/.f64 4 N) (/.f64 -2 (pow.f64 N 2))) (/.f64 4 (pow.f64 N 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)))))))

simplify766.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1028×	`rational_best-simplify-1`
988×	`rational_best-simplify-53`
920×	`rational_best-simplify-64`
872×	`rational_best-simplify-49`
850×	`rational_best-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	221	2533
1	554	2533
2	1397	2533
3	6585	2533

Stop Event

1×	node limit

Counts

115 → 116

Calls

Call 1

Inputs
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/2 (pow.f64 N 2)) 0)
(+.f64 0 (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 2)))
(+.f64 (/.f64 1/4 (pow.f64 N 2)) (neg.f64 (/.f64 -1/4 (pow.f64 N 2))))
(+.f64 (/.f64 1/8 (pow.f64 N 2)) (+.f64 (/.f64 1/8 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 2))))
(+.f64 (/.f64 1/8 (pow.f64 N 2)) (/.f64 (/.f64 3/4 (pow.f64 N 2)) 2))
(+.f64 (/.f64 1/8 (pow.f64 N 2)) (/.f64 (/.f64 3/2 (pow.f64 N 2)) 4))
(+.f64 (/.f64 (/.f64 3/4 (pow.f64 N 2)) 2) (/.f64 1/8 (pow.f64 N 2)))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) 0)
(-.f64 0 (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 2)))
(-.f64 (/.f64 1/8 (pow.f64 N 2)) (/.f64 (/.f64 -3/4 (pow.f64 N 2)) 2))
(-.f64 (/.f64 (/.f64 3/4 (pow.f64 N 2)) 2) (/.f64 (/.f64 -1/4 (pow.f64 N 2)) 2))
(-.f64 (/.f64 (/.f64 3/2 (pow.f64 N 2)) 4) (/.f64 (/.f64 -1/2 (pow.f64 N 2)) 4))
(*.f64 1/2 (/.f64 1 (pow.f64 N 2)))
(*.f64 2 (/.f64 1/4 (pow.f64 N 2)))
(.f64 2 (.f64 1/2 (/.f64 1/2 (pow.f64 N 2))))
(*.f64 (/.f64 1/2 (pow.f64 N 2)) 1)
(*.f64 1 (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (/.f64 -1/2 (pow.f64 N 2)) -1)
(*.f64 4 (/.f64 1/8 (pow.f64 N 2)))
(.f64 4 (.f64 (/.f64 1/4 (pow.f64 N 2)) 1/2))
(*.f64 (/.f64 1 (pow.f64 N 2)) 1/2)
(*.f64 (/.f64 2 (pow.f64 N 2)) 1/4)
(.f64 8 (/.f64 1/2 (.f64 2 (*.f64 (pow.f64 N 2) 4))))
(.f64 8 (/.f64 1 (.f64 (*.f64 (pow.f64 N 2) 4) 4)))
(*.f64 (/.f64 1/4 (pow.f64 N 2)) 2)
(*.f64 1/4 (/.f64 2 (pow.f64 N 2)))
(.f64 (.f64 1/2 (/.f64 1/2 (pow.f64 N 2))) 2)
(*.f64 (/.f64 4 (pow.f64 N 2)) 1/8)
(*.f64 (/.f64 1/8 (pow.f64 N 2)) 4)
(pow.f64 (/.f64 1/2 (pow.f64 N 2)) 1)
(neg.f64 (/.f64 -1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 0)
(+.f64 0 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (neg.f64 (/.f64 -1 N)))
(+.f64 (/.f64 2 N) (neg.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))))
(+.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 2 N)) (/.f64 -1 N))
(+.f64 (neg.f64 (/.f64 -1 N)) (/.f64 -1/2 (pow.f64 N 2)))
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(+.f64 (/.f64 -1 N) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 2 N)))
(+.f64 (/.f64 1/2 N) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N)))
(+.f64 (+.f64 (/.f64 1/2 N) (/.f64 -1/4 (pow.f64 N 2))) (+.f64 (/.f64 1/2 N) (/.f64 -1/4 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) (/.f64 -1 (pow.f64 N 2)))
(+.f64 (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/2 N) (/.f64 3/4 (pow.f64 N 2)))) (+.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 -1/2 N)))
(+.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N)) (/.f64 1/2 N))
(+.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N)) (neg.f64 (/.f64 -1/2 N)))
(+.f64 (-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/4 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 -1/4 (pow.f64 N 2))))
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Outputs
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(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(+.f64 (-.f64 (/.f64 2 N) (/.f64 1/4 (pow.f64 N 2))) (neg.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(+.f64 (-.f64 (/.f64 2 N) (/.f64 1 N)) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(+.f64 (-.f64 (/.f64 2 N) (/.f64 1/2 N)) (neg.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/2 N))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(+.f64 (-.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) (/.f64 1/4 (pow.f64 N 2))) (neg.f64 (/.f64 3/4 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(+.f64 (-.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) (/.f64 3/4 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(+.f64 (/.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 2 N)) 4) (/.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (-.f64 (/.f64 2 N) (/.f64 1 (pow.f64 N 2)))) 4))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(+.f64 (/.f64 (+.f64 (/.f64 -1 N) (/.f64 1/4 (pow.f64 N 2))) -1) (/.f64 -1/4 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(+.f64 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1/2 N)) -1) (/.f64 (/.f64 -1/2 N) -1))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(*.f64 1/2 (-.f64 (/.f64 2 N) (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(*.f64 1/2 (-.f64 (/.f64 4 N) (+.f64 (/.f64 2 N) (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(*.f64 2 (+.f64 (/.f64 1/2 N) (/.f64 -1/4 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(.f64 2 (.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 1/2))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(.f64 2 (-.f64 (/.f64 1/2 N) (.f64 1/2 (/.f64 1/2 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(*.f64 1 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(*.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 1)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(*.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) -1)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(*.f64 -1 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(*.f64 4 (-.f64 (/.f64 1/4 N) (/.f64 1/8 (pow.f64 N 2))))
(*.f64 (-.f64 (/.f64 2 N) (/.f64 1 (pow.f64 N 2))) 1/2)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(*.f64 (+.f64 (/.f64 4 N) (/.f64 -2 (pow.f64 N 2))) 1/4)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(*.f64 1/4 (+.f64 (/.f64 4 N) (/.f64 -2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(.f64 (.f64 (-.f64 (/.f64 2 N) (/.f64 1 (pow.f64 N 2))) 4) 1/8)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 1)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) -1)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (-.f64 (/.f64 2 N) (/.f64 1 (pow.f64 N 2))) 2)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (+.f64 (/.f64 4 N) (/.f64 -2 (pow.f64 N 2))) 4)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (+.f64 (/.f64 1/2 N) (/.f64 -1/4 (pow.f64 N 2))) 1/2)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 2 N)) -2)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (+.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 -1/2 N)) -1/2)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (*.f64 (-.f64 (/.f64 2 N) (/.f64 1 (pow.f64 N 2))) 4) 8)
(/.f64 (*.f64 4 (-.f64 (/.f64 2 N) (/.f64 1 (pow.f64 N 2)))) 8)
(/.f64 (*.f64 8 (+.f64 (/.f64 2 N) (/.f64 -1 (pow.f64 N 2)))) 16)
(/.f64 (*.f64 4 (-.f64 (/.f64 4 N) (/.f64 2 (pow.f64 N 2)))) 16)
(/.f64 (-.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 4 N)) -4)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (/.f64 (-.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 4 N)) -1) 4)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (-.f64 (/.f64 4 N) (+.f64 (/.f64 2 N) (/.f64 1 (pow.f64 N 2)))) 2)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (+.f64 (/.f64 -2 (pow.f64 N 2)) (/.f64 4 N)) 4)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (-.f64 (/.f64 8 N) (/.f64 4 (pow.f64 N 2))) 8)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (-.f64 (/.f64 8 N) (-.f64 (/.f64 4 N) (/.f64 -2 (pow.f64 N 2)))) 4)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (-.f64 (+.f64 (/.f64 2 N) (/.f64 1 (pow.f64 N 2))) (/.f64 2 (pow.f64 N 2))) 2)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (-.f64 (-.f64 (/.f64 4 N) (/.f64 -2 (pow.f64 N 2))) (/.f64 4 (pow.f64 N 2))) 4)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(pow.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 1)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(neg.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))

localize95.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))
✓	0.4b	(/.f64 1/3 (pow.f64 N 3))
	0.5b	(/.f64 1/2 (pow.f64 N 2))
✓	12.6b	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))

Compiler

Compiled 50 to 39 computations (22% saved)

series3.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	N	@	0	(/.f64 1/3 (pow.f64 N 3))
0.0ms	N	@	0	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
0.0ms	N	@	0	(+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))
0.0ms	N	@	-inf	(/.f64 1/3 (pow.f64 N 3))
0.0ms	N	@	inf	(/.f64 1/3 (pow.f64 N 3))

rewrite416.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1478×	`rational_best-simplify-75`
898×	`rational_best-4`
898×	`rational_best-2`
898×	`rational_best-3`
898×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	81
1	102	81
2	197	81
3	536	81
4	2309	81

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

Inputs
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
(/.f64 1/3 (pow.f64 N 3))
(+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 -1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 2 N) (+.f64 (/.f64 -2/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))) (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 N) 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simplify872.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1016×	`rational_best-simplify-1`
768×	`rational_best-simplify-47`
708×	`rational_best-simplify-48`
604×	`rational_best-simplify-53`
598×	`rational_best-simplify-52`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	4694
1	613	4694
2	1511	4358
3	7188	4358

Stop Event

1×	node limit

Counts

146 → 143

Calls

Call 1

Inputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1/3 (pow.f64 N 3))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(/.f64 1 N)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(/.f64 1 N)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 -1/2 (pow.f64 N 2)))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 0)
(+.f64 0 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (-.f64 (/.f64 2 N) (+.f64 (/.f64 -2/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))) (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 1/3 (pow.f64 N 3)))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1 N))
(+.f64 (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3))) (-.f64 (/.f64 2 N) (+.f64 (/.f64 -2/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))))
(+.f64 (-.f64 (/.f64 1/2 N) (-.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/6 (pow.f64 N 3)))) (-.f64 (/.f64 1/2 N) (-.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/6 (pow.f64 N 3)))))
(+.f64 (+.f64 (/.f64 1/2 N) (/.f64 1/6 (pow.f64 N 3))) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 (/.f64 1/2 N) (/.f64 1/6 (pow.f64 N 3)))))
(+.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 (/.f64 1/2 N) (/.f64 1/6 (pow.f64 N 3)))) (+.f64 (/.f64 1/2 N) (/.f64 1/6 (pow.f64 N 3))))
(+.f64 (neg.f64 (/.f64 1/4 (pow.f64 N 2))) (-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/4 (pow.f64 N 2))))
(+.f64 (-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/4 (pow.f64 N 2))) (neg.f64 (/.f64 1/4 (pow.f64 N 2))))
(+.f64 (-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/4 (pow.f64 N 2))) (/.f64 (/.f64 -1/2 (pow.f64 N 2)) 2))
(+.f64 (/.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/4 (pow.f64 N 2))))
(+.f64 (-.f64 (/.f64 1/6 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (/.f64 1/6 (pow.f64 N 3)) (/.f64 -1 N)))
(+.f64 (-.f64 (/.f64 1/2 N) (/.f64 -1/3 (pow.f64 N 3))) (-.f64 (/.f64 1/2 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (-.f64 (/.f64 1/2 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (/.f64 1/2 N) (/.f64 -1/3 (pow.f64 N 3))))
(+.f64 (-.f64 (/.f64 1/6 (pow.f64 N 3)) (/.f64 -1 N)) (-.f64 (/.f64 1/6 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(*.f64 1 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))))
(*.f64 1/2 (+.f64 (+.f64 (/.f64 2 N) (/.f64 2/3 (pow.f64 N 3))) (/.f64 -1 (pow.f64 N 2))))
(*.f64 1/2 (-.f64 (+.f64 (/.f64 4 N) (/.f64 4/3 (pow.f64 N 3))) (+.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 (/.f64 2 N) (/.f64 2/3 (pow.f64 N 3))))))
(.f64 2 (.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 1/2))
(*.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 1)
(*.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3)))) -1)
(*.f64 (+.f64 (+.f64 (/.f64 2 N) (/.f64 2/3 (pow.f64 N 3))) (/.f64 -1 (pow.f64 N 2))) 1/2)
(*.f64 -1 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3)))))
(*.f64 (-.f64 (+.f64 (/.f64 4 N) (/.f64 4/3 (pow.f64 N 3))) (/.f64 2 (pow.f64 N 2))) 1/4)
(*.f64 1/4 (-.f64 (+.f64 (/.f64 4 N) (/.f64 4/3 (pow.f64 N 3))) (/.f64 2 (pow.f64 N 2))))
(.f64 (.f64 (+.f64 (+.f64 (/.f64 2 N) (/.f64 2/3 (pow.f64 N 3))) (/.f64 -1 (pow.f64 N 2))) 4) 1/8)
(/.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 1)
(/.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3)))) -1)
(/.f64 (+.f64 (+.f64 (/.f64 2 N) (/.f64 2/3 (pow.f64 N 3))) (/.f64 -1 (pow.f64 N 2))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 4 N) (/.f64 4/3 (pow.f64 N 3))) (/.f64 2 (pow.f64 N 2))) 4)
(/.f64 (*.f64 (+.f64 (+.f64 (/.f64 2 N) (/.f64 2/3 (pow.f64 N 3))) (/.f64 -1 (pow.f64 N 2))) 4) 8)
(/.f64 (-.f64 (+.f64 (/.f64 4 N) (/.f64 4/3 (pow.f64 N 3))) (+.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 (/.f64 2 N) (/.f64 2/3 (pow.f64 N 3))))) 2)
(/.f64 (-.f64 (/.f64 2 N) (-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 2/3 (pow.f64 N 3)))) 2)
(/.f64 (-.f64 (/.f64 4 N) (-.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 4/3 (pow.f64 N 3)))) 4)
(/.f64 (-.f64 (/.f64 2/3 (pow.f64 N 3)) (-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 2 N))) 2)
(/.f64 (-.f64 (/.f64 4/3 (pow.f64 N 3)) (-.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 4 N))) 4)
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 2 N) (/.f64 2/3 (pow.f64 N 3))) 4) (.f64 2 (/.f64 2 (pow.f64 N 2)))) 8)
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 2 N) (/.f64 2/3 (pow.f64 N 3))) 4) (+.f64 (+.f64 (/.f64 4 N) (/.f64 4/3 (pow.f64 N 3))) (/.f64 2 (pow.f64 N 2)))) 4)
(/.f64 (-.f64 (-.f64 (/.f64 2 N) (/.f64 1 (pow.f64 N 2))) (/.f64 -2/3 (pow.f64 N 3))) 2)
(/.f64 (-.f64 (-.f64 (/.f64 4 N) (/.f64 2 (pow.f64 N 2))) (neg.f64 (/.f64 4/3 (pow.f64 N 3)))) 4)
(/.f64 (-.f64 (-.f64 (/.f64 2/3 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 2))) (/.f64 -2 N)) 2)
(/.f64 (-.f64 (-.f64 (/.f64 4/3 (pow.f64 N 3)) (/.f64 2 (pow.f64 N 2))) (neg.f64 (/.f64 4 N))) 4)
(/.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 (/.f64 2 N) (/.f64 2/3 (pow.f64 N 3)))) (/.f64 2 (pow.f64 N 2))) 2)
(/.f64 (-.f64 (+.f64 (+.f64 (/.f64 4 N) (/.f64 4/3 (pow.f64 N 3))) (/.f64 2 (pow.f64 N 2))) (*.f64 2 (/.f64 2 (pow.f64 N 2)))) 4)
(pow.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 1)
(neg.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) 0)
(+.f64 0 (/.f64 1/3 (pow.f64 N 3)))
(+.f64 (/.f64 1/6 (pow.f64 N 3)) (/.f64 1/6 (pow.f64 N 3)))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) 0)
(-.f64 0 (/.f64 -1/3 (pow.f64 N 3)))
(-.f64 (/.f64 1/6 (pow.f64 N 3)) (/.f64 (/.f64 -1/3 (pow.f64 N 3)) 2))
(*.f64 1 (/.f64 1/3 (pow.f64 N 3)))
(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
(*.f64 (/.f64 1/3 (pow.f64 N 3)) 1)
(*.f64 1/2 (/.f64 2/3 (pow.f64 N 3)))
(*.f64 2 (/.f64 1/6 (pow.f64 N 3)))
(.f64 2 (.f64 (/.f64 1/3 (pow.f64 N 3)) 1/2))
(*.f64 2/3 (/.f64 1/2 (pow.f64 N 3)))
(.f64 2/3 (.f64 (/.f64 1 (pow.f64 N 3)) 1/2))
(*.f64 (/.f64 -1/3 (pow.f64 N 3)) -1)
(*.f64 (/.f64 2/3 (pow.f64 N 3)) 1/2)
(.f64 4/3 (/.f64 1/2 (.f64 (pow.f64 N 3) 2)))
(.f64 4/3 (.f64 (/.f64 1/2 (pow.f64 N 3)) 1/2))
(*.f64 (/.f64 1 (pow.f64 N 3)) 1/3)
(*.f64 (/.f64 1/2 (pow.f64 N 3)) 2/3)
(.f64 (/.f64 1/2 (.f64 (pow.f64 N 3) 2)) 4/3)
(*.f64 (/.f64 4/3 (pow.f64 N 3)) 1/4)
(.f64 8/3 (/.f64 1/2 (.f64 (pow.f64 N 3) 4)))
(.f64 8/3 (.f64 (/.f64 1/2 (*.f64 (pow.f64 N 3) 2)) 1/2))
(*.f64 (/.f64 1/6 (pow.f64 N 3)) 2)
(*.f64 1/4 (/.f64 4/3 (pow.f64 N 3)))
(.f64 (/.f64 1/2 (.f64 (pow.f64 N 3) 4)) 8/3)
(.f64 (.f64 (/.f64 2/3 (pow.f64 N 3)) 4) 1/8)
(.f64 16/3 (/.f64 1 (.f64 (*.f64 (pow.f64 N 3) 4) 4)))
(.f64 16/3 (/.f64 1/2 (.f64 (*.f64 (pow.f64 N 3) 2) 4)))
(pow.f64 (/.f64 1/3 (pow.f64 N 3)) 1)
(neg.f64 (/.f64 -1/3 (pow.f64 N 3)))
(-.f64 (/.f64 1 N) (/.f64 -1/3 (pow.f64 N 3)))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1 N))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) 0)
(-.f64 0 (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3))))
(-.f64 (/.f64 2 N) (+.f64 (/.f64 1 N) (/.f64 -1/3 (pow.f64 N 3))))
(-.f64 (/.f64 2/3 (pow.f64 N 3)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1 N)))
(-.f64 (/.f64 1/2 N) (-.f64 (/.f64 -1/3 (pow.f64 N 3)) (/.f64 1/2 N)))
(-.f64 (/.f64 1/2 N) (+.f64 (/.f64 (/.f64 -1 N) 2) (/.f64 -1/3 (pow.f64 N 3))))
(-.f64 (/.f64 1/6 (pow.f64 N 3)) (-.f64 (/.f64 -1 N) (/.f64 1/6 (pow.f64 N 3))))
(-.f64 (/.f64 1/6 (pow.f64 N 3)) (+.f64 (/.f64 (/.f64 -1/3 (pow.f64 N 3)) 2) (/.f64 -1 N)))
(-.f64 (+.f64 (/.f64 1/2 N) (/.f64 1/6 (pow.f64 N 3))) (/.f64 (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3))) 2))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/6 (pow.f64 N 3))) (neg.f64 (/.f64 1/6 (pow.f64 N 3))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N)) (neg.f64 (/.f64 1/2 N)))
(-.f64 (-.f64 (/.f64 1/2 N) (/.f64 -1/3 (pow.f64 N 3))) (neg.f64 (/.f64 1/2 N)))
(-.f64 (-.f64 (/.f64 1/6 (pow.f64 N 3)) (/.f64 -1 N)) (neg.f64 (/.f64 1/6 (pow.f64 N 3))))
(-.f64 (-.f64 (/.f64 1/6 (pow.f64 N 3)) (neg.f64 (/.f64 1/2 N))) (-.f64 (neg.f64 (/.f64 1/2 N)) (/.f64 1/6 (pow.f64 N 3))))
(-.f64 (-.f64 (/.f64 1/2 N) (neg.f64 (/.f64 1/6 (pow.f64 N 3)))) (-.f64 (neg.f64 (/.f64 1/6 (pow.f64 N 3))) (/.f64 1/2 N)))
(-.f64 (-.f64 (/.f64 1 N) (/.f64 1 N)) (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3))))
(-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/3 (pow.f64 N 3))) (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3))))
(*.f64 1 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))))
(*.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) 1)
(*.f64 1/2 (+.f64 (/.f64 2 N) (/.f64 2/3 (pow.f64 N 3))))
(.f64 2 (.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) 1/2))
(*.f64 (+.f64 (/.f64 2 N) (/.f64 2/3 (pow.f64 N 3))) 1/2)
(*.f64 (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3))) -1)
(*.f64 (+.f64 (/.f64 4 N) (/.f64 4/3 (pow.f64 N 3))) 1/4)
(*.f64 1/4 (+.f64 (/.f64 4 N) (/.f64 4/3 (pow.f64 N 3))))
(.f64 (.f64 (+.f64 (/.f64 2 N) (/.f64 2/3 (pow.f64 N 3))) 4) 1/8)
(/.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) 1)
(/.f64 (+.f64 (/.f64 2 N) (/.f64 2/3 (pow.f64 N 3))) 2)
(/.f64 (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3))) -1)
(/.f64 (+.f64 (/.f64 4 N) (/.f64 4/3 (pow.f64 N 3))) 4)
(/.f64 (*.f64 (+.f64 (/.f64 2 N) (/.f64 2/3 (pow.f64 N 3))) 4) 8)
(/.f64 (-.f64 (/.f64 4 N) (neg.f64 (/.f64 4/3 (pow.f64 N 3)))) 4)
(/.f64 (-.f64 (/.f64 4/3 (pow.f64 N 3)) (neg.f64 (/.f64 4 N))) 4)
(/.f64 (-.f64 (/.f64 1/6 (pow.f64 N 3)) (neg.f64 (/.f64 1/2 N))) 1/2)
(pow.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) 1)
(neg.f64 (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3))))

Outputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(/.f64 1/3 (pow.f64 N 3))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(/.f64 1 N)
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(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(/.f64 1 N)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
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(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
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(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
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(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
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(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
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(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
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(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
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(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (-.f64 (/.f64 1/2 N) (-.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/6 (pow.f64 N 3)))) (-.f64 (/.f64 1/2 N) (-.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/6 (pow.f64 N 3)))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 1/2 N) (/.f64 1/6 (pow.f64 N 3))) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 (/.f64 1/2 N) (/.f64 1/6 (pow.f64 N 3)))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 (/.f64 1/2 N) (/.f64 1/6 (pow.f64 N 3)))) (+.f64 (/.f64 1/2 N) (/.f64 1/6 (pow.f64 N 3))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (neg.f64 (/.f64 1/4 (pow.f64 N 2))) (-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/4 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
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(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(-.f64 (/.f64 1/2 N) (-.f64 (/.f64 -1/3 (pow.f64 N 3)) (/.f64 1/2 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(-.f64 (/.f64 1/2 N) (+.f64 (/.f64 (/.f64 -1 N) 2) (/.f64 -1/3 (pow.f64 N 3))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(-.f64 (/.f64 1/6 (pow.f64 N 3)) (-.f64 (/.f64 -1 N) (/.f64 1/6 (pow.f64 N 3))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(-.f64 (/.f64 1/6 (pow.f64 N 3)) (+.f64 (/.f64 (/.f64 -1/3 (pow.f64 N 3)) 2) (/.f64 -1 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(-.f64 (+.f64 (/.f64 1/2 N) (/.f64 1/6 (pow.f64 N 3))) (/.f64 (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3))) 2))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/6 (pow.f64 N 3))) (neg.f64 (/.f64 1/6 (pow.f64 N 3))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N)) (neg.f64 (/.f64 1/2 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(-.f64 (-.f64 (/.f64 1/2 N) (/.f64 -1/3 (pow.f64 N 3))) (neg.f64 (/.f64 1/2 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(-.f64 (-.f64 (/.f64 1/6 (pow.f64 N 3)) (/.f64 -1 N)) (neg.f64 (/.f64 1/6 (pow.f64 N 3))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(-.f64 (-.f64 (/.f64 1/6 (pow.f64 N 3)) (neg.f64 (/.f64 1/2 N))) (-.f64 (neg.f64 (/.f64 1/2 N)) (/.f64 1/6 (pow.f64 N 3))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(-.f64 (-.f64 (/.f64 1/2 N) (neg.f64 (/.f64 1/6 (pow.f64 N 3)))) (-.f64 (neg.f64 (/.f64 1/6 (pow.f64 N 3))) (/.f64 1/2 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(-.f64 (-.f64 (/.f64 1 N) (/.f64 1 N)) (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/3 (pow.f64 N 3))) (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(*.f64 1 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(*.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) 1)
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(*.f64 1/2 (+.f64 (/.f64 2 N) (/.f64 2/3 (pow.f64 N 3))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(.f64 2 (.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) 1/2))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(*.f64 (+.f64 (/.f64 2 N) (/.f64 2/3 (pow.f64 N 3))) 1/2)
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(*.f64 (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3))) -1)
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(*.f64 (+.f64 (/.f64 4 N) (/.f64 4/3 (pow.f64 N 3))) 1/4)
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(*.f64 1/4 (+.f64 (/.f64 4 N) (/.f64 4/3 (pow.f64 N 3))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(.f64 (.f64 (+.f64 (/.f64 2 N) (/.f64 2/3 (pow.f64 N 3))) 4) 1/8)
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(/.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) 1)
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(/.f64 (+.f64 (/.f64 2 N) (/.f64 2/3 (pow.f64 N 3))) 2)
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(/.f64 (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3))) -1)
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(/.f64 (+.f64 (/.f64 4 N) (/.f64 4/3 (pow.f64 N 3))) 4)
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(/.f64 (*.f64 (+.f64 (/.f64 2 N) (/.f64 2/3 (pow.f64 N 3))) 4) 8)
(/.f64 (*.f64 8 (-.f64 (/.f64 2 N) (/.f64 -2/3 (pow.f64 N 3)))) 16)
(/.f64 (-.f64 (/.f64 4 N) (neg.f64 (/.f64 4/3 (pow.f64 N 3)))) 4)
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(/.f64 (-.f64 (/.f64 4/3 (pow.f64 N 3)) (neg.f64 (/.f64 4 N))) 4)
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(/.f64 (-.f64 (/.f64 1/6 (pow.f64 N 3)) (neg.f64 (/.f64 1/2 N))) 1/2)
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(pow.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) 1)
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(neg.f64 (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))

localize107.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	1.9b	(+.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (neg.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
	2.2b	(log.f64 (+.f64 N 1))

Compiler

Compiled 49 to 34 computations (30.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite677.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1810×	`rational_best-2`
1810×	`rational_best-1`
864×	`rational_best-4`
864×	`rational_best-3`
864×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	88	64
2	175	64
3	523	42
4	2275	42
5	7271	42

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

Inputs
(+.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (neg.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1))) (*.f64 (log.f64 (+.f64 N 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (+.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) (/.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (log.f64 N)) (+.f64 (/.f64 (+.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) -2)) 2) (/.f64 (log.f64 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (log.f64 (+.f64 N 1))) (+.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 (+.f64 N 1)) -2) (neg.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 (+.f64 N 1)) -2) (+.f64 (+.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) -2)) (neg.f64 (log.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 (+.f64 N 1)) 4) (+.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) (*.f64 -1 (+.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 N) -2) (-.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (log.f64 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(*.f64 (log.f64 (+.f64 N 1)) 2) (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 3 (/.f64 (log.f64 (+.f64 N 1)) 2)) (*.f64 3 (/.f64 (log.f64 (+.f64 N 1)) 2))) (+.f64 (+.f64 (log.f64 N) (/.f64 (log.f64 (+.f64 N 1)) 2)) (*.f64 3 (/.f64 (log.f64 (+.f64 N 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 N) (neg.f64 (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 (+.f64 N 1)) 4) (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (log.f64 N)) (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (+.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) 3))) (+.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (-.f64 (neg.f64 (log.f64 N)) (/.f64 (log.f64 (+.f64 N 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 N) 2) (-.f64 (neg.f64 (log.f64 (+.f64 N 1))) (/.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (+.f64 N 1)) (/.f64 (log.f64 N) 2)) (/.f64 (log.f64 N) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) (*.f64 -1 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 N) (/.f64 (log.f64 (+.f64 N 1)) 2)) (/.f64 (log.f64 (+.f64 N 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (+.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N))) (+.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4)) -1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) -1) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4)) -1) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) (*.f64 2 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1))))))))

simplify771.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

902×	`rational_best-simplify-1`
822×	`rational_best-simplify-50`
622×	`rational_best-simplify-57`
616×	`rational_best-simplify-52`
600×	`rational_best-simplify-48`

Iterations

Useful iterations: 3 (1.0ms)

Iter	Nodes	Cost
0	255	3855
1	665	3807
2	1676	3489
3	7300	3467

Stop Event

1×	node limit

Counts

119 → 183

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (.f64 2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (.f64 2 (log.f64 -1)) (.f64 -2 (log.f64 (/.f64 -1 N)))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 2 (log.f64 -1)) (*.f64 -2 (log.f64 (/.f64 -1 N))))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 2 (log.f64 -1)) (.f64 -2 (log.f64 (/.f64 -1 N))))))
(log.f64 N)
(+.f64 N (log.f64 N))
(+.f64 N (+.f64 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (log.f64 N) (+.f64 (.f64 1/3 (pow.f64 N 3)) (.f64 -1/2 (pow.f64 N 2)))))
(*.f64 -2 (log.f64 (/.f64 1 N)))
(+.f64 (/.f64 1 N) (*.f64 -2 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 -2 (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 -2 (log.f64 (/.f64 1 N))) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))
(+.f64 (/.f64 1 N) (+.f64 (.f64 2 (log.f64 -1)) (.f64 -2 (log.f64 (/.f64 -1 N)))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 2 (log.f64 -1)) (.f64 -2 (log.f64 (/.f64 -1 N))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 2 (log.f64 -1)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(-.f64 (-.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1))) (*.f64 (log.f64 (+.f64 N 1)) -2))
(-.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)
(-.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (+.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) (/.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -2)))
(-.f64 0 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(-.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (+.f64 N 1))))
(-.f64 (neg.f64 (log.f64 N)) (+.f64 (/.f64 (+.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) -2)) 2) (/.f64 (log.f64 N) -2)))
(-.f64 (neg.f64 (log.f64 (+.f64 N 1))) (+.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) -2)))
(-.f64 (.f64 (log.f64 (+.f64 N 1)) -2) (neg.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N))))
(-.f64 (.f64 (log.f64 (+.f64 N 1)) -2) (+.f64 (+.f64 (log.f64 N) (.f64 (log.f64 (+.f64 N 1)) -2)) (neg.f64 (log.f64 (+.f64 N 1)))))
(-.f64 (.f64 (log.f64 (+.f64 N 1)) 4) (+.f64 (log.f64 N) (.f64 (log.f64 (+.f64 N 1)) 3)))
(-.f64 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) (.f64 -1 (+.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) 3))))
(-.f64 (*.f64 (log.f64 N) -2) (-.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1))))
(-.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) (.f64 (log.f64 (+.f64 N 1)) 2))
(-.f64 (.f64 (log.f64 (+.f64 N 1)) 8) (+.f64 (+.f64 (log.f64 N) (.f64 (log.f64 (+.f64 N 1)) 3)) (*.f64 (log.f64 (+.f64 N 1)) 4)))
(-.f64 (*.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(-.f64 (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) (-.f64 0 (+.f64 (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 2) 0)))
(-.f64 (/.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -2) (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2))
(-.f64 (/.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -2) (-.f64 (log.f64 N) (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2)))
(-.f64 (+.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2)) (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))
(-.f64 (+.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (/.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -2)) (+.f64 (log.f64 (+.f64 N 1)) (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2)))
(-.f64 (.f64 4 (neg.f64 (log.f64 (+.f64 N 1)))) (+.f64 (.f64 -1 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N))) (.f64 (log.f64 (+.f64 N 1)) -2)))
(-.f64 (+.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (-.f64 (.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N))) (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)))
(-.f64 (+.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N))) (+.f64 (.f64 (log.f64 (+.f64 N 1)) 2) (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N))))
(-.f64 (+.f64 (.f64 3 (/.f64 (log.f64 (+.f64 N 1)) 2)) (.f64 3 (/.f64 (log.f64 (+.f64 N 1)) 2))) (+.f64 (+.f64 (log.f64 N) (/.f64 (log.f64 (+.f64 N 1)) 2)) (*.f64 3 (/.f64 (log.f64 (+.f64 N 1)) 2))))
(*.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))
(*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(*.f64 -1 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(.f64 1/2 (.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 1/4)
(.f64 (.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 1/2)
(.f64 1/4 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))
(.f64 (.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) 1/8)
(/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(/.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)
(/.f64 (*.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 2)
(/.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))) -4)
(/.f64 (/.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) -1) 2)
(/.f64 (/.f64 (.f64 2 (.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))) -1) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))) 16)
(pow.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(neg.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(-.f64 (log.f64 N) (neg.f64 (log.f64 (+.f64 N 1))))
(-.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)
(-.f64 0 (-.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1))))
(-.f64 (.f64 (log.f64 (+.f64 N 1)) 4) (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)))
(-.f64 (*.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(-.f64 (*.f64 2 (log.f64 N)) (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(-.f64 (.f64 2 (+.f64 (log.f64 N) (.f64 (log.f64 (+.f64 N 1)) 3))) (+.f64 (.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 N) (.f64 (log.f64 (+.f64 N 1)) 3))))
(-.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (-.f64 (neg.f64 (log.f64 N)) (/.f64 (log.f64 (+.f64 N 1)) 2)))
(-.f64 (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2))
(-.f64 (/.f64 (log.f64 N) 2) (-.f64 (neg.f64 (log.f64 (+.f64 N 1))) (/.f64 (log.f64 N) 2)))
(-.f64 (+.f64 (log.f64 (+.f64 N 1)) (/.f64 (log.f64 N) 2)) (/.f64 (log.f64 N) -2))
(-.f64 (.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) (.f64 -1 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N))))
(-.f64 (+.f64 (log.f64 N) (/.f64 (log.f64 (+.f64 N 1)) 2)) (/.f64 (log.f64 (+.f64 N 1)) -2))
(-.f64 (+.f64 (+.f64 (.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (+.f64 (.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N))) (+.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) 3)))
(*.f64 1 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(.f64 2 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))
(*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(*.f64 (-.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1))) -1)
(*.f64 -1 (-.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1))))
(.f64 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 1/2)
(*.f64 -2 (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2))
(.f64 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) -1/2)
(.f64 1/2 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(.f64 -1/2 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2))
(.f64 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 1/4)
(.f64 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4) -1/4)
(.f64 1/4 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))
(.f64 1/4 (.f64 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4) -1))
(.f64 -1/4 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4))
(.f64 (.f64 2 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) 1/8)
(.f64 (.f64 2 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4)) -1/8)
(/.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(/.f64 (-.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1))) -1)
(/.f64 (*.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 2)
(/.f64 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) -2)
(/.f64 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)
(/.f64 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4) -4)
(/.f64 (.f64 2 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4)) -8)
(/.f64 (/.f64 (.f64 2 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) -1) -8)
(/.f64 (/.f64 (.f64 2 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4)) -1) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) (.f64 2 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))) 16)
(pow.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(neg.f64 (-.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1))))

Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (neg.f64 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 N)))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (+.f64 (neg.f64 (log.f64 N)) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (+.f64 (.f64 1/3 (pow.f64 N 3)) (-.f64 (.f64 -1/2 (pow.f64 N 2)) (log.f64 N))))
(+.f64 (-.f64 N (log.f64 N)) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1 (/.f64 1/2 (pow.f64 N 2))) (*.f64 1 (/.f64 1/4 (pow.f64 N 4)))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) (/.f64 1/4 (pow.f64 N 4))))
(-.f64 (.f64 2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))
(-.f64 (.f64 2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 (log.f64 (/.f64 -1 N)) -2) (.f64 2 (log.f64 -1))))
(-.f64 (.f64 2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 (log.f64 (/.f64 -1 N)) -2) (*.f64 2 (log.f64 -1))))
(+.f64 (/.f64 (log.f64 (/.f64 -1 N)) 1/2) (*.f64 2 (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (log.f64 -1))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (.f64 2 (log.f64 -1)) (.f64 -2 (log.f64 (/.f64 -1 N)))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (.f64 (log.f64 (/.f64 -1 N)) -2) (.f64 2 (log.f64 -1))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (+.f64 (.f64 (log.f64 (/.f64 -1 N)) -2) (*.f64 2 (log.f64 -1))))
(+.f64 (-.f64 (*.f64 2 (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (log.f64 -1))) (/.f64 -1 N)) (/.f64 (log.f64 (/.f64 -1 N)) 1/2))
(-.f64 (+.f64 (/.f64 1 N) (.f64 2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 2 (log.f64 -1)) (*.f64 -2 (log.f64 (/.f64 -1 N))))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (.f64 (log.f64 (/.f64 -1 N)) -2) (+.f64 (.f64 2 (log.f64 -1)) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (+.f64 (.f64 1 (/.f64 1/2 (pow.f64 N 2))) (+.f64 (.f64 (log.f64 (/.f64 -1 N)) -2) (.f64 2 (log.f64 -1)))))
(-.f64 (/.f64 (log.f64 (/.f64 -1 N)) 1/2) (+.f64 (-.f64 (/.f64 -1 N) (*.f64 2 (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (log.f64 -1)))) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 2 (log.f64 -1)) (.f64 -2 (log.f64 (/.f64 -1 N))))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (.f64 (log.f64 (/.f64 -1 N)) -2) (+.f64 (.f64 2 (log.f64 -1)) (.f64 1 (/.f64 1/2 (pow.f64 N 2))))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))) (+.f64 (.f64 1 (/.f64 1/2 (pow.f64 N 2))) (+.f64 (.f64 (log.f64 (/.f64 -1 N)) -2) (*.f64 2 (log.f64 -1)))))
(+.f64 (-.f64 (+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))) (/.f64 1/2 (pow.f64 N 2))) (+.f64 (/.f64 (log.f64 (/.f64 -1 N)) 1/2) (/.f64 (log.f64 -1) -1/2)))
(log.f64 N)
(+.f64 N (log.f64 N))
(+.f64 N (+.f64 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (log.f64 N) (+.f64 (.f64 1/3 (pow.f64 N 3)) (.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (+.f64 (log.f64 N) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (+.f64 (.f64 -1/2 (pow.f64 N 2)) (+.f64 (log.f64 N) (.f64 1/3 (pow.f64 N 3)))))
(*.f64 -2 (log.f64 (/.f64 1 N)))
(+.f64 (/.f64 1 N) (*.f64 -2 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 -2 (log.f64 (/.f64 1 N)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 -2 (log.f64 (/.f64 1 N)))) (.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (-.f64 (*.f64 -2 (log.f64 (/.f64 1 N))) (/.f64 1/2 (pow.f64 N 2))) (/.f64 -1 N))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 -2 (log.f64 (/.f64 1 N))) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 -2 (log.f64 (/.f64 1 N))))) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (log.f64 (/.f64 1 N)) 1/2))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1)))
(+.f64 (.f64 (log.f64 (/.f64 -1 N)) -2) (.f64 2 (log.f64 -1)))
(+.f64 (/.f64 1 N) (+.f64 (.f64 2 (log.f64 -1)) (.f64 -2 (log.f64 (/.f64 -1 N)))))
(+.f64 (/.f64 1 N) (+.f64 (.f64 (log.f64 (/.f64 -1 N)) -2) (.f64 2 (log.f64 -1))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 2 (log.f64 -1)) (.f64 -2 (log.f64 (/.f64 -1 N))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 (log.f64 (/.f64 -1 N)) -2) (.f64 2 (log.f64 -1)))) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 (log.f64 (/.f64 -1 N)) -2) (.f64 2 (log.f64 -1)))) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 2 (log.f64 -1)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (.f64 (log.f64 (/.f64 -1 N)) -2) (.f64 2 (log.f64 -1))))) (.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (.f64 (log.f64 (/.f64 -1 N)) -2) (.f64 2 (log.f64 -1)))) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (-.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1))) (*.f64 (log.f64 (+.f64 N 1)) -2))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (+.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) (/.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -2)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 0 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (+.f64 N 1))))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (neg.f64 (log.f64 N)) (+.f64 (/.f64 (+.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) -2)) 2) (/.f64 (log.f64 N) -2)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (neg.f64 (log.f64 (+.f64 N 1))) (+.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) -2)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (.f64 (log.f64 (+.f64 N 1)) -2) (neg.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N))))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (.f64 (log.f64 (+.f64 N 1)) -2) (+.f64 (+.f64 (log.f64 N) (.f64 (log.f64 (+.f64 N 1)) -2)) (neg.f64 (log.f64 (+.f64 N 1)))))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (.f64 (log.f64 (+.f64 N 1)) 4) (+.f64 (log.f64 N) (.f64 (log.f64 (+.f64 N 1)) 3)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) (.f64 -1 (+.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) 3))))
(-.f64 (.f64 -2 (+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) (.f64 -1 (+.f64 (log.f64 N) (*.f64 3 (log.f64 (+.f64 N 1))))))
(-.f64 (.f64 -2 (+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) (neg.f64 (+.f64 (log.f64 N) (.f64 3 (log.f64 (+.f64 N 1))))))
(-.f64 (+.f64 (log.f64 N) (.f64 3 (log.f64 (+.f64 N 1)))) (.f64 2 (+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))))
(-.f64 (*.f64 (log.f64 N) -2) (-.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1))))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) (.f64 (log.f64 (+.f64 N 1)) 2))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (.f64 (log.f64 (+.f64 N 1)) 8) (+.f64 (+.f64 (log.f64 N) (.f64 (log.f64 (+.f64 N 1)) 3)) (*.f64 (log.f64 (+.f64 N 1)) 4)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (*.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
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(-.f64 (/.f64 (+.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -2) (neg.f64 (+.f64 0 (/.f64 (-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N)) 2))))
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(-.f64 (+.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N))) (+.f64 (.f64 (log.f64 (+.f64 N 1)) 2) (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N))))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
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(-.f64 (.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) 6) (+.f64 (.f64 (log.f64 (+.f64 N 1)) 3/2) (+.f64 (log.f64 N) (/.f64 (log.f64 (+.f64 N 1)) 2))))
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(*.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 -1 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 1/2 (.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 1/4)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 (.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 1/2)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 1/4 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 (.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) 1/8)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (*.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 2)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) -2)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) 8)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (.f64 2 (.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))) -4)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (/.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) -1) 2)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (/.f64 (.f64 2 (.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))) -1) 4)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))) 16)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(pow.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(neg.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 N) (neg.f64 (log.f64 (+.f64 N 1))))
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(-.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(-.f64 0 (-.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1))))
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(-.f64 (.f64 (log.f64 (+.f64 N 1)) 4) (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)))
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(-.f64 (*.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(-.f64 (*.f64 2 (log.f64 N)) (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(-.f64 (.f64 2 (+.f64 (log.f64 N) (.f64 (log.f64 (+.f64 N 1)) 3))) (+.f64 (.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 N) (.f64 (log.f64 (+.f64 N 1)) 3))))
(-.f64 (.f64 2 (+.f64 (log.f64 N) (.f64 3 (log.f64 (+.f64 N 1))))) (+.f64 (.f64 3 (log.f64 (+.f64 N 1))) (+.f64 (log.f64 N) (.f64 2 (log.f64 (+.f64 N 1))))))
(+.f64 (.f64 2 (-.f64 (+.f64 (log.f64 N) (.f64 3 (log.f64 (+.f64 N 1)))) (log.f64 (+.f64 N 1)))) (neg.f64 (+.f64 (log.f64 N) (*.f64 3 (log.f64 (+.f64 N 1))))))
(-.f64 (.f64 2 (+.f64 (log.f64 N) (.f64 3 (log.f64 (+.f64 N 1))))) (+.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) 5)))
(-.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (-.f64 (neg.f64 (log.f64 N)) (/.f64 (log.f64 (+.f64 N 1)) 2)))
(-.f64 (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2))
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(-.f64 (/.f64 (log.f64 N) 2) (-.f64 (neg.f64 (log.f64 (+.f64 N 1))) (/.f64 (log.f64 N) 2)))
(-.f64 (log.f64 (+.f64 N 1)) (-.f64 (/.f64 (log.f64 N) -2) (/.f64 (log.f64 N) 2)))
(-.f64 (+.f64 (log.f64 (+.f64 N 1)) (/.f64 (log.f64 N) 2)) (/.f64 (log.f64 N) -2))
(-.f64 (/.f64 (log.f64 N) 2) (-.f64 (neg.f64 (log.f64 (+.f64 N 1))) (/.f64 (log.f64 N) 2)))
(-.f64 (log.f64 (+.f64 N 1)) (-.f64 (/.f64 (log.f64 N) -2) (/.f64 (log.f64 N) 2)))
(-.f64 (.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) (.f64 -1 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N))))
(-.f64 (.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) (neg.f64 (-.f64 (.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N))))
(-.f64 (-.f64 (.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N)) (neg.f64 (.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))
(-.f64 (.f64 3 (log.f64 (+.f64 N 1))) (+.f64 (.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (log.f64 N)))
(-.f64 (+.f64 (log.f64 N) (/.f64 (log.f64 (+.f64 N 1)) 2)) (/.f64 (log.f64 (+.f64 N 1)) -2))
(-.f64 (+.f64 (+.f64 (.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (+.f64 (.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N))) (+.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) 3)))
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(*.f64 1 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(.f64 2 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(*.f64 (-.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1))) -1)
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(*.f64 -1 (-.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1))))
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(.f64 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 1/2)
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(*.f64 -2 (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2))
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(.f64 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) -1/2)
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(.f64 1/2 (.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(.f64 -1/2 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2))
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(.f64 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 1/4)
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(.f64 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4) -1/4)
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(.f64 1/4 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(.f64 1/4 (.f64 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4) -1))
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(.f64 -1/4 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4))
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(.f64 (.f64 2 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) 1/8)
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(.f64 (.f64 2 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4)) -1/8)
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(/.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(/.f64 (-.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1))) -1)
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(/.f64 (*.f64 2 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 2)
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(/.f64 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) -2)
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(/.f64 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(/.f64 (*.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4) -4)
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(/.f64 (.f64 2 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) 8)
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(/.f64 (.f64 2 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4)) -8)
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(/.f64 (/.f64 (.f64 2 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) -1) -8)
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(/.f64 (/.f64 (.f64 2 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4)) -1) 8)
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) (.f64 2 (.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))) 16)
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(pow.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))
(neg.f64 (-.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1))))
(-.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (+.f64 N 1)))

eval2.8s (3.4%)

Compiler: Compiled 12966 to 10228 computations (21.1% saved)

prune949.0ms (1.2%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	637	9	646
Fresh	3	3	6
Picked	1	0	1
Done	0	5	5
Total	641	17	658

Error

0.1b

Counts

658 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.8b	(/.f64 1 N)
✓	30.8b	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
	30.6b	(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) (/.f64 1/4 (pow.f64 N 4))))
	30.9b	(-.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) (.f64 (log.f64 (+.f64 N 1)) 2))
✓	30.3b	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
	30.6b	(-.f64 (+.f64 (/.f64 1 N) (.f64 1 (/.f64 1/3 (pow.f64 N 3)))) (+.f64 (.f64 1 (/.f64 1/2 (pow.f64 N 2))) (*.f64 1 (/.f64 1/4 (pow.f64 N 4)))))
▶	33.6b	(-.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) (log.f64 N))
	30.5b	(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
✓	30.5b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
▶	32.6b	(-.f64 N (log.f64 N))
	30.8b	(+.f64 (/.f64 1/2 N) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N)))
▶	30.8b	(+.f64 (-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))) (/.f64 1/2 (pow.f64 N 2)))
▶	30.3b	(+.f64 (-.f64 (/.f64 1/2 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (/.f64 1/2 N) (/.f64 -1/3 (pow.f64 N 3))))
▶	61.0b	(+.f64 (-.f64 1 (/.f64 -1 N)) (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))))
	61.0b	(+.f64 (-.f64 -1 (/.f64 -1 N)) (+.f64 1 (/.f64 -1/2 (pow.f64 N 2))))
	33.4b	(+.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (neg.f64 (+.f64 N (log.f64 N))))
✓	33.6b	(neg.f64 (log.f64 N))

Compiler

Compiled 420 to 339 computations (19.3% saved)

localize101.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1/2 N) (/.f64 -1/3 (pow.f64 N 3)))
✓	0.4b	(/.f64 -1/3 (pow.f64 N 3))
	0.5b	(/.f64 1/2 (pow.f64 N 2))
✓	12.6b	(+.f64 (-.f64 (/.f64 1/2 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (/.f64 1/2 N) (/.f64 -1/3 (pow.f64 N 3))))

Compiler

Compiled 62 to 48 computations (22.6% saved)

series3.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	N	@	0	(/.f64 -1/3 (pow.f64 N 3))
0.0ms	N	@	inf	(+.f64 (-.f64 (/.f64 1/2 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (/.f64 1/2 N) (/.f64 -1/3 (pow.f64 N 3))))
0.0ms	N	@	-inf	(+.f64 (-.f64 (/.f64 1/2 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (/.f64 1/2 N) (/.f64 -1/3 (pow.f64 N 3))))
0.0ms	N	@	0	(+.f64 (-.f64 (/.f64 1/2 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (/.f64 1/2 N) (/.f64 -1/3 (pow.f64 N 3))))
0.0ms	N	@	inf	(-.f64 (/.f64 1/2 N) (/.f64 -1/3 (pow.f64 N 3)))

rewrite468.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1292×	`rational_best-4`
1292×	`rational_best-2`
1292×	`rational_best-3`
1292×	`rational_best-1`
1292×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	93
1	102	93
2	215	93
3	647	81
4	3088	81

Stop Event

1×	node limit

Counts

3 → 149

Calls

Call 1

Inputs
(+.f64 (-.f64 (/.f64 1/2 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (/.f64 1/2 N) (/.f64 -1/3 (pow.f64 N 3))))
(/.f64 -1/3 (pow.f64 N 3))
(-.f64 (/.f64 1/2 N) (/.f64 -1/3 (pow.f64 N 3)))

Outputs

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simplify838.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1122×	`rational_best-simplify-1`
916×	`rational_best-simplify-3`
528×	`rational_best-simplify-56`
498×	`rational_best-simplify-50`
470×	`rational_best-simplify-57`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	7379
1	809	7271
2	2452	5689
3	7210	5689

Stop Event

1×	node limit

Counts

173 → 195

Calls

Call 1

Inputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1/3 (pow.f64 N 3))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 N)))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 N)))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 N)))
(/.f64 1/2 N)
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 N)))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 N)))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 N)))
(/.f64 1/2 N)
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 N)))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 N)))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 N)))
(-.f64 (/.f64 1/2 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 -1/3 (pow.f64 N 3)) (/.f64 -1/2 N))))
(-.f64 (/.f64 1/2 N) (-.f64 (/.f64 -1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 N) (/.f64 -1/2 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1/2 N) (/.f64 -1/2 (pow.f64 N 2))) (+.f64 (/.f64 -1/3 (pow.f64 N 3)) (/.f64 -1/2 N)))
(-.f64 (+.f64 (/.f64 1/2 N) (/.f64 -1/2 (pow.f64 N 2))) (-.f64 (+.f64 (/.f64 -2/3 (pow.f64 N 3)) (/.f64 -1 N)) (+.f64 (/.f64 -1/3 (pow.f64 N 3)) (/.f64 -1/2 N))))
(-.f64 (+.f64 (/.f64 1/2 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1/2 N)))
(-.f64 (+.f64 (/.f64 1/2 N) (/.f64 1/3 (pow.f64 N 3))) (-.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -1 N)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1/2 N))))
(-.f64 (-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2))) 0)
(-.f64 (-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2))) (+.f64 (/.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))) 2) (/.f64 (-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2))) 2)))
(-.f64 0 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))))
(-.f64 0 (+.f64 (/.f64 -1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 N) (+.f64 (/.f64 1/2 N) (/.f64 -1/2 (pow.f64 N 2))))))
(-.f64 0 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (+.f64 (/.f64 -1/3 (pow.f64 N 3)) (/.f64 -1/2 N)) (/.f64 -1/2 N))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 N) (+.f64 (/.f64 1/2 N) (/.f64 -1/2 (pow.f64 N 2)))))
(-.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 (+.f64 (/.f64 -1/3 (pow.f64 N 3)) (/.f64 -1/2 N)) (/.f64 -1/2 N)))
(-.f64 (-.f64 (/.f64 1 N) (/.f64 -2/3 (pow.f64 N 3))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1/2 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (-.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (+.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 -1/3 (pow.f64 N 3)) (/.f64 -1/2 N))) (/.f64 1/2 N)))
(-.f64 (/.f64 1 N) (+.f64 (-.f64 (/.f64 -1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 N) (/.f64 -1/2 (pow.f64 N 2)))) (/.f64 1/2 N)))
(-.f64 (/.f64 1 N) (+.f64 (-.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1/2 N)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 N)))
(-.f64 (-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))) (-.f64 (/.f64 -1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1/2 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N)) (/.f64 -1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (+.f64 (/.f64 1/2 N) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1/3 (pow.f64 N 3))) (/.f64 -1/2 N))
(-.f64 (neg.f64 (/.f64 -1/2 N)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 -1/3 (pow.f64 N 3)) (/.f64 -1/2 N))))
(-.f64 (neg.f64 (/.f64 -1/2 N)) (-.f64 (/.f64 -1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 N) (/.f64 -1/2 (pow.f64 N 2)))))
(-.f64 (/.f64 (-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2))) 2) (/.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))) 2))
(-.f64 (-.f64 (/.f64 1/4 N) (/.f64 1/4 (pow.f64 N 2))) (-.f64 (+.f64 (/.f64 -1/3 (pow.f64 N 3)) (/.f64 -1/2 N)) (-.f64 (/.f64 1/4 N) (/.f64 1/4 (pow.f64 N 2)))))
(-.f64 (-.f64 (/.f64 1/4 N) (/.f64 -1/6 (pow.f64 N 3))) (-.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1/2 N)) (-.f64 (/.f64 1/4 N) (/.f64 -1/6 (pow.f64 N 3)))))
(-.f64 (+.f64 (/.f64 1/2 N) (/.f64 -1/3 (pow.f64 N 3))) (-.f64 (/.f64 -2/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 N) (/.f64 -1/2 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1/2 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 (/.f64 1/2 N) (/.f64 1/3 (pow.f64 N 3)))))
(-.f64 (+.f64 (+.f64 (/.f64 1/2 N) (/.f64 -1/2 (pow.f64 N 2))) (-.f64 (/.f64 1/4 N) (/.f64 -1/6 (pow.f64 N 3)))) (neg.f64 (-.f64 (/.f64 1/4 N) (/.f64 -1/6 (pow.f64 N 3)))))
(-.f64 (+.f64 (+.f64 (/.f64 1/2 N) (/.f64 1/3 (pow.f64 N 3))) (-.f64 (/.f64 1/4 N) (/.f64 1/4 (pow.f64 N 2)))) (neg.f64 (-.f64 (/.f64 1/4 N) (/.f64 1/4 (pow.f64 N 2)))))
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(-.f64 (+.f64 (/.f64 1/2 N) (-.f64 (/.f64 1/4 N) (/.f64 -1/6 (pow.f64 N 3)))) (-.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 (/.f64 1/4 N) (/.f64 -1/6 (pow.f64 N 3)))))
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(.f64 -2/3 (.f64 (/.f64 1 (pow.f64 N 3)) 1/2))
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(*.f64 (/.f64 -2/3 (pow.f64 N 3)) 1/2)
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(*.f64 (/.f64 1 (pow.f64 N 3)) -1/3)
(*.f64 (/.f64 1/2 (pow.f64 N 3)) -2/3)
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(*.f64 (/.f64 -4/3 (pow.f64 N 3)) 1/4)
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(*.f64 1/4 (/.f64 -4/3 (pow.f64 N 3)))
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(.f64 -16/3 (/.f64 1/2 (.f64 2 (*.f64 (pow.f64 N 3) 4))))
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(.f64 2 (.f64 (+.f64 (/.f64 1/2 N) (/.f64 1/3 (pow.f64 N 3))) 1/2))
(*.f64 (+.f64 (/.f64 1/2 N) (/.f64 1/3 (pow.f64 N 3))) 1)
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(pow.f64 (+.f64 (/.f64 1/2 N) (/.f64 1/3 (pow.f64 N 3))) 1)
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Outputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 2 (/.f64 1/6 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1/6 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1 (/.f64 1/2 (pow.f64 N 2))))
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(/.f64 1 N)
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(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
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(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
(+.f64 (.f64 2 (/.f64 1/6 (pow.f64 N 3))) (.f64 2 (/.f64 1/4 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
(+.f64 (neg.f64 (/.f64 -1/6 (pow.f64 N 3))) (-.f64 (neg.f64 (/.f64 -1/2 N)) (/.f64 -1/6 (pow.f64 N 3))))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
(+.f64 (.f64 2 (/.f64 1/6 (pow.f64 N 3))) (.f64 2 (/.f64 1/4 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
(+.f64 (-.f64 (/.f64 1 N) (/.f64 -1/3 (pow.f64 N 3))) (/.f64 -1/2 N))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
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(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
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(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
(+.f64 (.f64 2 (/.f64 1/6 (pow.f64 N 3))) (.f64 2 (/.f64 1/4 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
(+.f64 (/.f64 (/.f64 1/3 (pow.f64 N 3)) 2) (/.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) 2))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
(+.f64 (.f64 2 (/.f64 1/6 (pow.f64 N 3))) (.f64 2 (/.f64 1/4 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
(+.f64 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) 2) (/.f64 (/.f64 1/3 (pow.f64 N 3)) 2))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
(+.f64 (.f64 2 (/.f64 1/6 (pow.f64 N 3))) (.f64 2 (/.f64 1/4 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
(+.f64 (-.f64 (/.f64 1/4 N) (/.f64 -1/3 (pow.f64 N 3))) (/.f64 1/4 N))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
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(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
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(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
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(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
(+.f64 (-.f64 1 (/.f64 -1/2 N)) (-.f64 -1 (/.f64 -1/3 (pow.f64 N 3))))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
(+.f64 (.f64 2 (/.f64 1/6 (pow.f64 N 3))) (.f64 2 (/.f64 1/4 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
(+.f64 (-.f64 -1 (/.f64 -1/2 N)) (-.f64 1 (/.f64 -1/3 (pow.f64 N 3))))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
(+.f64 (.f64 2 (/.f64 1/6 (pow.f64 N 3))) (.f64 2 (/.f64 1/4 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
(+.f64 (-.f64 1 (/.f64 -1/3 (pow.f64 N 3))) (-.f64 -1 (/.f64 -1/2 N)))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
(+.f64 (.f64 2 (/.f64 1/6 (pow.f64 N 3))) (.f64 2 (/.f64 1/4 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
(*.f64 1/2 (-.f64 (/.f64 1 N) (/.f64 -2/3 (pow.f64 N 3))))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
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(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
(.f64 2 (.f64 (+.f64 (/.f64 1/2 N) (/.f64 1/3 (pow.f64 N 3))) 1/2))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
(+.f64 (.f64 2 (/.f64 1/6 (pow.f64 N 3))) (.f64 2 (/.f64 1/4 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
(*.f64 (+.f64 (/.f64 1/2 N) (/.f64 1/3 (pow.f64 N 3))) 1)
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
(+.f64 (.f64 2 (/.f64 1/6 (pow.f64 N 3))) (.f64 2 (/.f64 1/4 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
(*.f64 1 (+.f64 (/.f64 1/2 N) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
(+.f64 (.f64 2 (/.f64 1/6 (pow.f64 N 3))) (.f64 2 (/.f64 1/4 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
(*.f64 (+.f64 (/.f64 -1/3 (pow.f64 N 3)) (/.f64 -1/2 N)) -1)
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
(+.f64 (.f64 2 (/.f64 1/6 (pow.f64 N 3))) (.f64 2 (/.f64 1/4 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
(*.f64 -1 (+.f64 (/.f64 -1/3 (pow.f64 N 3)) (/.f64 -1/2 N)))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
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(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
(*.f64 (-.f64 (/.f64 1 N) (/.f64 -2/3 (pow.f64 N 3))) 1/2)
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
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(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
(*.f64 (-.f64 (/.f64 2 N) (/.f64 -4/3 (pow.f64 N 3))) 1/4)
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
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(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
(*.f64 1/4 (-.f64 (/.f64 2 N) (/.f64 -4/3 (pow.f64 N 3))))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
(+.f64 (.f64 2 (/.f64 1/6 (pow.f64 N 3))) (.f64 2 (/.f64 1/4 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
(.f64 (.f64 2 (-.f64 (/.f64 2 N) (/.f64 -4/3 (pow.f64 N 3)))) 1/8)
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
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(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
(/.f64 (+.f64 (/.f64 1/2 N) (/.f64 1/3 (pow.f64 N 3))) 1)
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
(+.f64 (.f64 2 (/.f64 1/6 (pow.f64 N 3))) (.f64 2 (/.f64 1/4 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
(/.f64 (+.f64 (/.f64 -1/3 (pow.f64 N 3)) (/.f64 -1/2 N)) -1)
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
(+.f64 (.f64 2 (/.f64 1/6 (pow.f64 N 3))) (.f64 2 (/.f64 1/4 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
(/.f64 (-.f64 (/.f64 1 N) (/.f64 -2/3 (pow.f64 N 3))) 2)
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
(+.f64 (.f64 2 (/.f64 1/6 (pow.f64 N 3))) (.f64 2 (/.f64 1/4 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
(/.f64 (-.f64 (/.f64 2 N) (/.f64 -4/3 (pow.f64 N 3))) 4)
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
(+.f64 (.f64 2 (/.f64 1/6 (pow.f64 N 3))) (.f64 2 (/.f64 1/4 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
(/.f64 (*.f64 2 (-.f64 (/.f64 2 N) (/.f64 -4/3 (pow.f64 N 3)))) 8)
(/.f64 (*.f64 (-.f64 (/.f64 2 N) (/.f64 -4/3 (pow.f64 N 3))) 4) 16)
(/.f64 (*.f64 4 (-.f64 (/.f64 2 N) (/.f64 -4/3 (pow.f64 N 3)))) 16)
(pow.f64 (+.f64 (/.f64 1/2 N) (/.f64 1/3 (pow.f64 N 3))) 1)
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
(+.f64 (.f64 2 (/.f64 1/6 (pow.f64 N 3))) (.f64 2 (/.f64 1/4 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))
(neg.f64 (+.f64 (/.f64 -1/3 (pow.f64 N 3)) (/.f64 -1/2 N)))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1 (/.f64 1/2 N)))
(+.f64 (.f64 2 (/.f64 1/6 (pow.f64 N 3))) (.f64 2 (/.f64 1/4 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 N))

localize31.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 N (log.f64 N))

Compiler

Compiled 8 to 3 computations (62.5% saved)

series31.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
27.0ms	N	@	0	(-.f64 N (log.f64 N))
3.0ms	N	@	-inf	(-.f64 N (log.f64 N))
1.0ms	N	@	inf	(-.f64 N (log.f64 N))

rewrite1.0s (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1218×	`rational_best-simplify-62`
880×	`rational_best-simplify-108`
824×	`rational_best-simplify-55`
600×	`rational_best-simplify-83`
522×	`rational_best-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	38	11
2	79	11
3	209	11
4	805	11
5	5533	11
6	7853	11

Stop Event

1×	node limit

Counts

1 → 80

Calls

Call 1

Inputs
(-.f64 N (log.f64 N))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 N (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 N (log.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 N)) N)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N N) (neg.f64 (+.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N (-.f64 N (log.f64 N))) (neg.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 N) (+.f64 N (-.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 N (log.f64 N)) 1/2) (*.f64 (-.f64 N (log.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 N 1/2) (-.f64 (*.f64 N 1/2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N (log.f64 N)) (*.f64 (log.f64 N) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (-.f64 N (log.f64 N)) -3/2)) (/.f64 (-.f64 N (log.f64 N)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N (*.f64 (log.f64 N) -2)) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 N (*.f64 (log.f64 N) 1/2)) (/.f64 (log.f64 N) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 N (*.f64 (log.f64 N) 1/2)) (-.f64 N (+.f64 N (*.f64 (log.f64 N) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 N) -2) (-.f64 N (*.f64 (log.f64 N) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 N) -2) (-.f64 (/.f64 (log.f64 N) -2) (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 N 4) (+.f64 (/.f64 N 4) (-.f64 (*.f64 N 1/2) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 N (log.f64 N)) 4) (+.f64 (/.f64 (-.f64 N (log.f64 N)) 4) (*.f64 (-.f64 N (log.f64 N)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 N (log.f64 N)) 4) (/.f64 (*.f64 (-.f64 N (log.f64 N)) 3) 4))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (log.f64 N) 2) (+.f64 (*.f64 (-.f64 N (log.f64 N)) -2) (*.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (log.f64 N) 2) (*.f64 2 (-.f64 (*.f64 (log.f64 N) 2) N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (+.f64 (*.f64 N 4) (*.f64 (log.f64 N) -2)) (+.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 N (log.f64 N)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 N (log.f64 N)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 N (log.f64 N)) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (-.f64 N (log.f64 N)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 N (log.f64 N)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (+.f64 (*.f64 N 4) (*.f64 (log.f64 N) 4)) (*.f64 2 (*.f64 (log.f64 N) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (+.f64 (*.f64 N 4) (*.f64 (-.f64 N (log.f64 N)) 4)) (*.f64 N 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (-.f64 N (log.f64 N)) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 N (log.f64 N)) -4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 2 (*.f64 (-.f64 N (log.f64 N)) 4))) -1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 2 (*.f64 (-.f64 N (log.f64 N)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 N (log.f64 N)) 4)) (*.f64 2 (*.f64 (-.f64 N (log.f64 N)) 4))) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (-.f64 N (log.f64 N)) -4) (*.f64 (-.f64 N (log.f64 N)) -4)) -1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (log.f64 N) -4) (*.f64 N 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (log.f64 N) -4) (+.f64 (*.f64 N 4) (*.f64 (-.f64 N (log.f64 N)) 4))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (*.f64 N 4) (*.f64 (-.f64 N (log.f64 N)) 4)) (*.f64 (log.f64 N) -4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (-.f64 N (log.f64 N)) -4)) -1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 (*.f64 N 4) (*.f64 (log.f64 N) 4)) (*.f64 (+.f64 N N) 4)) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 (*.f64 N 4) (*.f64 (log.f64 N) 4)) (*.f64 2 (*.f64 (log.f64 N) 4))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 (*.f64 N 4) (*.f64 (-.f64 N (log.f64 N)) 4)) (*.f64 (log.f64 N) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 N (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 N) N) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 N (log.f64 N)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 N (log.f64 N)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 N (log.f64 N)) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 N (log.f64 N)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 N (log.f64 N)) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 N (log.f64 N)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 N (log.f64 N)) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 N (log.f64 N)) 4)) (*.f64 2 (*.f64 (-.f64 N (log.f64 N)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 N (log.f64 N)) -4) (*.f64 (-.f64 N (log.f64 N)) -4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (log.f64 N) -4) (*.f64 N 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 N 4) (*.f64 (log.f64 N) 4)) (*.f64 2 (*.f64 (log.f64 N) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 N (log.f64 N)) 4)) (*.f64 2 (*.f64 (-.f64 N (log.f64 N)) 4))) (+.f64 (*.f64 2 (*.f64 (-.f64 N (log.f64 N)) 4)) (*.f64 2 (*.f64 (-.f64 N (log.f64 N)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 (log.f64 N) -4) (*.f64 N 4)) (+.f64 (*.f64 (log.f64 N) -4) (*.f64 N 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (+.f64 (*.f64 N 4) (*.f64 (log.f64 N) 4)) (*.f64 2 (*.f64 (log.f64 N) 4))) (-.f64 (+.f64 (*.f64 N 4) (*.f64 (log.f64 N) 4)) (*.f64 2 (*.f64 (log.f64 N) 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (-.f64 N (log.f64 N)) 2) (-.f64 N (log.f64 N)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 N (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log.f64 N) N))))))

simplify734.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1164×	`rational_best-simplify-108`
972×	`rational_best-simplify-86`
838×	`rational_best-simplify-1`
620×	`rational_best-simplify-50`
502×	`rational_best-simplify-47`

Iterations

Useful iterations: 3 (1.0ms)

Iter	Nodes	Cost
0	205	1678
1	484	1642
2	1231	1340
3	5637	1324

Stop Event

1×	node limit

Counts

92 → 106

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
N
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
N
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (log.f64 N)))
(+.f64 (-.f64 N (log.f64 N)) 0)
(+.f64 0 (-.f64 N (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) N)
(+.f64 (+.f64 N N) (neg.f64 (+.f64 N (log.f64 N))))
(+.f64 (+.f64 N (-.f64 N (log.f64 N))) (neg.f64 N))
(+.f64 (neg.f64 N) (+.f64 N (-.f64 N (log.f64 N))))
(+.f64 (.f64 (-.f64 N (log.f64 N)) 1/2) (.f64 (-.f64 N (log.f64 N)) 1/2))
(+.f64 (.f64 N 1/2) (-.f64 (.f64 N 1/2) (log.f64 N)))
(+.f64 (+.f64 N (log.f64 N)) (*.f64 (log.f64 N) -2))
(+.f64 (neg.f64 (*.f64 (-.f64 N (log.f64 N)) -3/2)) (/.f64 (-.f64 N (log.f64 N)) -2))
(+.f64 (+.f64 N (*.f64 (log.f64 N) -2)) (log.f64 N))
(+.f64 (-.f64 N (*.f64 (log.f64 N) 1/2)) (/.f64 (log.f64 N) -2))
(+.f64 (-.f64 N (.f64 (log.f64 N) 1/2)) (-.f64 N (+.f64 N (.f64 (log.f64 N) 1/2))))
(+.f64 (/.f64 (log.f64 N) -2) (-.f64 N (*.f64 (log.f64 N) 1/2)))
(+.f64 (/.f64 (log.f64 N) -2) (-.f64 (/.f64 (log.f64 N) -2) (neg.f64 N)))
(+.f64 (/.f64 N 4) (+.f64 (/.f64 N 4) (-.f64 (*.f64 N 1/2) (log.f64 N))))
(+.f64 (/.f64 (-.f64 N (log.f64 N)) 4) (+.f64 (/.f64 (-.f64 N (log.f64 N)) 4) (*.f64 (-.f64 N (log.f64 N)) 1/2)))
(+.f64 (/.f64 (-.f64 N (log.f64 N)) 4) (/.f64 (*.f64 (-.f64 N (log.f64 N)) 3) 4))
(+.f64 (-.f64 (.f64 N 1/2) (log.f64 N)) (.f64 N 1/2))
(+.f64 (-.f64 (*.f64 N 1/2) (log.f64 N)) (/.f64 (neg.f64 N) -2))
(+.f64 (.f64 3 (.f64 N 1/2)) (neg.f64 (+.f64 (log.f64 N) (*.f64 N 1/2))))
(+.f64 (-.f64 (.f64 N 1/2) (+.f64 N (log.f64 N))) (.f64 3 (*.f64 N 1/2)))
(+.f64 (-.f64 (+.f64 N N) (.f64 (log.f64 N) 1/2)) (neg.f64 (+.f64 N (.f64 (log.f64 N) 1/2))))
(+.f64 (-.f64 (+.f64 N (log.f64 N)) (.f64 (log.f64 N) 1/2)) (neg.f64 (.f64 (log.f64 N) 3/2)))
(+.f64 (/.f64 (+.f64 N (-.f64 N (log.f64 N))) 4) (/.f64 (-.f64 (*.f64 (-.f64 N (log.f64 N)) 2) (log.f64 N)) 4))
(+.f64 (-.f64 -1 (log.f64 N)) (-.f64 1 (neg.f64 N)))
(+.f64 (-.f64 -1 (neg.f64 N)) (-.f64 1 (log.f64 N)))
(*.f64 (-.f64 N (log.f64 N)) 1)
(*.f64 1 (-.f64 N (log.f64 N)))
(*.f64 (-.f64 (log.f64 N) N) -1)
(.f64 2 (.f64 (-.f64 N (log.f64 N)) 1/2))
(.f64 (.f64 (-.f64 N (log.f64 N)) 2) 1/2)
(*.f64 -1 (-.f64 (log.f64 N) N))
(.f64 1/2 (.f64 (-.f64 N (log.f64 N)) 2))
(.f64 1/2 (-.f64 (+.f64 N N) (+.f64 (+.f64 N N) (.f64 (-.f64 N (log.f64 N)) -2))))
(.f64 1/2 (-.f64 (+.f64 N N) (+.f64 (.f64 (-.f64 N (log.f64 N)) -2) (+.f64 N N))))
(.f64 1/2 (-.f64 (.f64 (log.f64 N) 2) (+.f64 (.f64 (log.f64 N) 2) (.f64 (-.f64 N (log.f64 N)) -2))))
(.f64 1/2 (-.f64 (.f64 (log.f64 N) 2) (+.f64 (.f64 (-.f64 N (log.f64 N)) -2) (.f64 (log.f64 N) 2))))
(.f64 1/2 (-.f64 (.f64 (log.f64 N) 2) (.f64 2 (-.f64 (.f64 (log.f64 N) 2) N))))
(.f64 1/2 (-.f64 (+.f64 (.f64 N 4) (*.f64 (log.f64 N) -2)) (+.f64 N N)))
(.f64 (.f64 (-.f64 N (log.f64 N)) 4) 1/4)
(.f64 (.f64 (-.f64 N (log.f64 N)) 1/2) 2)
(.f64 (.f64 (-.f64 N (log.f64 N)) -2) -1/2)
(*.f64 -2 (/.f64 (-.f64 N (log.f64 N)) -2))
(.f64 1/4 (.f64 (-.f64 N (log.f64 N)) 4))
(.f64 1/4 (-.f64 (+.f64 (.f64 N 4) (.f64 (log.f64 N) 4)) (.f64 2 (*.f64 (log.f64 N) 4))))
(.f64 1/4 (-.f64 (+.f64 (.f64 N 4) (.f64 (-.f64 N (log.f64 N)) 4)) (.f64 N 4)))
(.f64 (.f64 2 (*.f64 (-.f64 N (log.f64 N)) 4)) 1/8)
(.f64 (.f64 (-.f64 N (log.f64 N)) -4) -1/4)
(.f64 (neg.f64 (.f64 2 (*.f64 (-.f64 N (log.f64 N)) 4))) -1/8)
(.f64 1/8 (.f64 2 (*.f64 (-.f64 N (log.f64 N)) 4)))
(.f64 (+.f64 (.f64 2 (.f64 (-.f64 N (log.f64 N)) 4)) (.f64 2 (*.f64 (-.f64 N (log.f64 N)) 4))) 1/16)
(.f64 (+.f64 (.f64 (-.f64 N (log.f64 N)) -4) (*.f64 (-.f64 N (log.f64 N)) -4)) -1/8)
(.f64 (+.f64 (.f64 (log.f64 N) -4) (*.f64 N 4)) 1/4)
(.f64 (+.f64 (.f64 (log.f64 N) -4) (+.f64 (.f64 N 4) (.f64 (-.f64 N (log.f64 N)) 4))) 1/8)
(.f64 (+.f64 (+.f64 (.f64 N 4) (.f64 (-.f64 N (log.f64 N)) 4)) (.f64 (log.f64 N) -4)) 1/8)
(.f64 (.f64 2 (*.f64 (-.f64 N (log.f64 N)) -4)) -1/8)
(.f64 (-.f64 (+.f64 (.f64 N 4) (.f64 (log.f64 N) 4)) (.f64 (+.f64 N N) 4)) -1/4)
(.f64 (-.f64 (+.f64 (.f64 N 4) (.f64 (log.f64 N) 4)) (.f64 2 (*.f64 (log.f64 N) 4))) 1/4)
(.f64 (-.f64 (+.f64 (.f64 N 4) (.f64 (-.f64 N (log.f64 N)) 4)) (.f64 (log.f64 N) 4)) 1/8)
(/.f64 (-.f64 N (log.f64 N)) 1)
(/.f64 (-.f64 (log.f64 N) N) -1)
(/.f64 (*.f64 (-.f64 N (log.f64 N)) 2) 2)
(/.f64 (*.f64 (-.f64 N (log.f64 N)) 4) 4)
(/.f64 (*.f64 (-.f64 N (log.f64 N)) 1/2) 1/2)
(/.f64 (*.f64 (-.f64 N (log.f64 N)) -2) -2)
(/.f64 (/.f64 (-.f64 N (log.f64 N)) -2) -1/2)
(/.f64 (.f64 2 (.f64 (-.f64 N (log.f64 N)) 4)) 8)
(/.f64 (*.f64 (-.f64 N (log.f64 N)) -4) -4)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 N (log.f64 N)) 4)) (.f64 2 (.f64 (-.f64 N (log.f64 N)) 4))) 16)
(/.f64 (+.f64 (.f64 (-.f64 N (log.f64 N)) -4) (.f64 (-.f64 N (log.f64 N)) -4)) -8)
(/.f64 (+.f64 (.f64 (log.f64 N) -4) (.f64 N 4)) 4)
(/.f64 (-.f64 (+.f64 (.f64 N 4) (.f64 (log.f64 N) 4)) (.f64 2 (.f64 (log.f64 N) 4))) 4)
(/.f64 (+.f64 (+.f64 (.f64 2 (.f64 (-.f64 N (log.f64 N)) 4)) (.f64 2 (.f64 (-.f64 N (log.f64 N)) 4))) (+.f64 (.f64 2 (.f64 (-.f64 N (log.f64 N)) 4)) (.f64 2 (.f64 (-.f64 N (log.f64 N)) 4)))) 32)
(/.f64 (+.f64 (+.f64 (.f64 (log.f64 N) -4) (.f64 N 4)) (+.f64 (.f64 (log.f64 N) -4) (.f64 N 4))) 8)
(/.f64 (+.f64 (-.f64 (+.f64 (.f64 N 4) (.f64 (log.f64 N) 4)) (.f64 2 (.f64 (log.f64 N) 4))) (-.f64 (+.f64 (.f64 N 4) (.f64 (log.f64 N) 4)) (.f64 2 (.f64 (log.f64 N) 4)))) 8)
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 N (log.f64 N)) 2) (-.f64 N (log.f64 N)))) -1)
(pow.f64 (-.f64 N (log.f64 N)) 1)
(neg.f64 (-.f64 (log.f64 N) N))

Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
N
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
N
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(-.f64 N (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(-.f64 N (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(-.f64 N (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (-.f64 N (log.f64 N)) 0)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 0 (-.f64 N (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) N)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (+.f64 N N) (neg.f64 (+.f64 N (log.f64 N))))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (+.f64 N (-.f64 N (log.f64 N))) (neg.f64 N))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (neg.f64 N) (+.f64 N (-.f64 N (log.f64 N))))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (.f64 (-.f64 N (log.f64 N)) 1/2) (.f64 (-.f64 N (log.f64 N)) 1/2))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (.f64 N 1/2) (-.f64 (.f64 N 1/2) (log.f64 N)))
(+.f64 (+.f64 N (log.f64 N)) (*.f64 (log.f64 N) -2))
(+.f64 N (+.f64 (log.f64 N) (*.f64 (log.f64 N) -2)))
(+.f64 (neg.f64 (*.f64 (-.f64 N (log.f64 N)) -3/2)) (/.f64 (-.f64 N (log.f64 N)) -2))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (+.f64 N (*.f64 (log.f64 N) -2)) (log.f64 N))
(+.f64 (+.f64 N (log.f64 N)) (*.f64 (log.f64 N) -2))
(+.f64 N (+.f64 (log.f64 N) (*.f64 (log.f64 N) -2)))
(+.f64 (-.f64 N (*.f64 (log.f64 N) 1/2)) (/.f64 (log.f64 N) -2))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (-.f64 N (.f64 (log.f64 N) 1/2)) (-.f64 N (+.f64 N (.f64 (log.f64 N) 1/2))))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (/.f64 (log.f64 N) -2) (-.f64 N (*.f64 (log.f64 N) 1/2)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (/.f64 (log.f64 N) -2) (-.f64 (/.f64 (log.f64 N) -2) (neg.f64 N)))
(+.f64 (-.f64 N (/.f64 (neg.f64 (log.f64 N)) -2)) (/.f64 (log.f64 N) -2))
(+.f64 (/.f64 N 4) (+.f64 (/.f64 N 4) (-.f64 (*.f64 N 1/2) (log.f64 N))))
(+.f64 (-.f64 (*.f64 N 1/2) (log.f64 N)) (+.f64 (/.f64 N 4) (/.f64 N 4)))
(+.f64 (-.f64 (*.f64 N 1/2) (log.f64 N)) (/.f64 (+.f64 N N) 4))
(+.f64 (-.f64 (*.f64 N 1/2) (log.f64 N)) (/.f64 N 2))
(+.f64 (/.f64 (-.f64 N (log.f64 N)) 4) (+.f64 (/.f64 (-.f64 N (log.f64 N)) 4) (*.f64 (-.f64 N (log.f64 N)) 1/2)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (/.f64 (-.f64 N (log.f64 N)) 4) (/.f64 (*.f64 (-.f64 N (log.f64 N)) 3) 4))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (-.f64 (.f64 N 1/2) (log.f64 N)) (.f64 N 1/2))
(+.f64 (.f64 N 1/2) (-.f64 (.f64 N 1/2) (log.f64 N)))
(+.f64 (-.f64 (*.f64 N 1/2) (log.f64 N)) (/.f64 (neg.f64 N) -2))
(+.f64 (-.f64 (*.f64 N 1/2) (log.f64 N)) (+.f64 (/.f64 N 4) (/.f64 N 4)))
(+.f64 (-.f64 (*.f64 N 1/2) (log.f64 N)) (/.f64 (+.f64 N N) 4))
(+.f64 (-.f64 (*.f64 N 1/2) (log.f64 N)) (/.f64 N 2))
(+.f64 (.f64 3 (.f64 N 1/2)) (neg.f64 (+.f64 (log.f64 N) (*.f64 N 1/2))))
(+.f64 (.f64 1/2 (.f64 N 3)) (neg.f64 (+.f64 (log.f64 N) (*.f64 N 1/2))))
(+.f64 (.f64 N 3/2) (neg.f64 (+.f64 (log.f64 N) (.f64 N 1/2))))
(+.f64 (.f64 N 3/2) (-.f64 (neg.f64 (log.f64 N)) (.f64 N 1/2)))
(+.f64 (*.f64 N 3/2) (-.f64 (/.f64 N -2) (log.f64 N)))
(+.f64 (-.f64 (.f64 N 1/2) (+.f64 N (log.f64 N))) (.f64 3 (*.f64 N 1/2)))
(+.f64 (.f64 1/2 (.f64 N 3)) (-.f64 (*.f64 N 1/2) (+.f64 N (log.f64 N))))
(+.f64 (.f64 N 3/2) (-.f64 (.f64 N 1/2) (+.f64 N (log.f64 N))))
(+.f64 (-.f64 (+.f64 N N) (.f64 (log.f64 N) 1/2)) (neg.f64 (+.f64 N (.f64 (log.f64 N) 1/2))))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (-.f64 (+.f64 N (log.f64 N)) (.f64 (log.f64 N) 1/2)) (neg.f64 (.f64 (log.f64 N) 3/2)))
(+.f64 (+.f64 N (log.f64 N)) (*.f64 (log.f64 N) -2))
(+.f64 N (+.f64 (log.f64 N) (*.f64 (log.f64 N) -2)))
(+.f64 (/.f64 (+.f64 N (-.f64 N (log.f64 N))) 4) (/.f64 (-.f64 (*.f64 (-.f64 N (log.f64 N)) 2) (log.f64 N)) 4))
(/.f64 (+.f64 (+.f64 N (-.f64 N (log.f64 N))) (-.f64 (*.f64 (-.f64 N (log.f64 N)) 2) (log.f64 N))) 4)
(/.f64 (+.f64 N (+.f64 (-.f64 N (log.f64 N)) (-.f64 (*.f64 (-.f64 N (log.f64 N)) 2) (log.f64 N)))) 4)
(+.f64 (-.f64 -1 (log.f64 N)) (-.f64 1 (neg.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (-.f64 -1 (neg.f64 N)) (-.f64 1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(*.f64 (-.f64 N (log.f64 N)) 1)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(*.f64 1 (-.f64 N (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(*.f64 (-.f64 (log.f64 N) N) -1)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 2 (.f64 (-.f64 N (log.f64 N)) 1/2))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 (.f64 (-.f64 N (log.f64 N)) 2) 1/2)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(*.f64 -1 (-.f64 (log.f64 N) N))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 1/2 (.f64 (-.f64 N (log.f64 N)) 2))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 1/2 (-.f64 (+.f64 N N) (+.f64 (+.f64 N N) (.f64 (-.f64 N (log.f64 N)) -2))))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 1/2 (-.f64 (+.f64 N N) (+.f64 (.f64 (-.f64 N (log.f64 N)) -2) (+.f64 N N))))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 1/2 (-.f64 (.f64 (log.f64 N) 2) (+.f64 (.f64 (log.f64 N) 2) (.f64 (-.f64 N (log.f64 N)) -2))))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 1/2 (-.f64 (.f64 (log.f64 N) 2) (+.f64 (.f64 (-.f64 N (log.f64 N)) -2) (.f64 (log.f64 N) 2))))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 1/2 (-.f64 (.f64 (log.f64 N) 2) (.f64 2 (-.f64 (.f64 (log.f64 N) 2) N))))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 1/2 (-.f64 (+.f64 (.f64 N 4) (*.f64 (log.f64 N) -2)) (+.f64 N N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 (.f64 (-.f64 N (log.f64 N)) 4) 1/4)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 (.f64 (-.f64 N (log.f64 N)) 1/2) 2)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 (.f64 (-.f64 N (log.f64 N)) -2) -1/2)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(*.f64 -2 (/.f64 (-.f64 N (log.f64 N)) -2))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 1/4 (.f64 (-.f64 N (log.f64 N)) 4))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 1/4 (-.f64 (+.f64 (.f64 N 4) (.f64 (log.f64 N) 4)) (.f64 2 (*.f64 (log.f64 N) 4))))
(+.f64 N (neg.f64 (log.f64 N)))
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(.f64 1/4 (-.f64 (+.f64 (.f64 N 4) (.f64 (-.f64 N (log.f64 N)) 4)) (.f64 N 4)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 (.f64 2 (*.f64 (-.f64 N (log.f64 N)) 4)) 1/8)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 (.f64 (-.f64 N (log.f64 N)) -4) -1/4)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 (neg.f64 (.f64 2 (*.f64 (-.f64 N (log.f64 N)) 4))) -1/8)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 1/8 (.f64 2 (*.f64 (-.f64 N (log.f64 N)) 4)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 (+.f64 (.f64 2 (.f64 (-.f64 N (log.f64 N)) 4)) (.f64 2 (*.f64 (-.f64 N (log.f64 N)) 4))) 1/16)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 (+.f64 (.f64 (-.f64 N (log.f64 N)) -4) (*.f64 (-.f64 N (log.f64 N)) -4)) -1/8)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 (+.f64 (.f64 (log.f64 N) -4) (*.f64 N 4)) 1/4)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 (+.f64 (.f64 (log.f64 N) -4) (+.f64 (.f64 N 4) (.f64 (-.f64 N (log.f64 N)) 4))) 1/8)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 (+.f64 (+.f64 (.f64 N 4) (.f64 (-.f64 N (log.f64 N)) 4)) (.f64 (log.f64 N) -4)) 1/8)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 (.f64 2 (*.f64 (-.f64 N (log.f64 N)) -4)) -1/8)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 (-.f64 (+.f64 (.f64 N 4) (.f64 (log.f64 N) 4)) (.f64 (+.f64 N N) 4)) -1/4)
(.f64 -1/4 (-.f64 (.f64 4 (+.f64 N (log.f64 N))) (*.f64 (+.f64 N N) 4)))
(.f64 -1/4 (-.f64 (.f64 (+.f64 N (log.f64 N)) 4) (*.f64 (+.f64 N N) 4)))
(.f64 -1/4 (-.f64 (.f64 (+.f64 N (log.f64 N)) 4) (*.f64 N 8)))
(.f64 -1/4 (-.f64 (.f64 (log.f64 N) 4) (*.f64 -1 (/.f64 N -1/4))))
(.f64 (-.f64 (+.f64 (.f64 N 4) (.f64 (log.f64 N) 4)) (.f64 2 (*.f64 (log.f64 N) 4))) 1/4)
(+.f64 N (neg.f64 (log.f64 N)))
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(.f64 (-.f64 (+.f64 (.f64 N 4) (.f64 (-.f64 N (log.f64 N)) 4)) (.f64 (log.f64 N) 4)) 1/8)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (-.f64 N (log.f64 N)) 1)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (-.f64 (log.f64 N) N) -1)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (*.f64 (-.f64 N (log.f64 N)) 2) 2)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (*.f64 (-.f64 N (log.f64 N)) 4) 4)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (*.f64 (-.f64 N (log.f64 N)) 1/2) 1/2)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (*.f64 (-.f64 N (log.f64 N)) -2) -2)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (/.f64 (-.f64 N (log.f64 N)) -2) -1/2)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (.f64 2 (.f64 (-.f64 N (log.f64 N)) 4)) 8)
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(-.f64 N (log.f64 N))
(/.f64 (*.f64 (-.f64 N (log.f64 N)) -4) -4)
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(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 N (log.f64 N)) 4)) (.f64 2 (.f64 (-.f64 N (log.f64 N)) 4))) 16)
(+.f64 N (neg.f64 (log.f64 N)))
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(/.f64 (+.f64 (.f64 (-.f64 N (log.f64 N)) -4) (.f64 (-.f64 N (log.f64 N)) -4)) -8)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (+.f64 (.f64 (log.f64 N) -4) (.f64 N 4)) 4)
(+.f64 N (neg.f64 (log.f64 N)))
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(/.f64 (-.f64 (+.f64 (.f64 N 4) (.f64 (log.f64 N) 4)) (.f64 2 (.f64 (log.f64 N) 4))) 4)
(+.f64 N (neg.f64 (log.f64 N)))
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(/.f64 (+.f64 (+.f64 (.f64 2 (.f64 (-.f64 N (log.f64 N)) 4)) (.f64 2 (.f64 (-.f64 N (log.f64 N)) 4))) (+.f64 (.f64 2 (.f64 (-.f64 N (log.f64 N)) 4)) (.f64 2 (.f64 (-.f64 N (log.f64 N)) 4)))) 32)
(+.f64 N (neg.f64 (log.f64 N)))
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(/.f64 (+.f64 (+.f64 (.f64 (log.f64 N) -4) (.f64 N 4)) (+.f64 (.f64 (log.f64 N) -4) (.f64 N 4))) 8)
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(/.f64 (+.f64 (-.f64 (+.f64 (.f64 N 4) (.f64 (log.f64 N) 4)) (.f64 2 (.f64 (log.f64 N) 4))) (-.f64 (+.f64 (.f64 N 4) (.f64 (log.f64 N) 4)) (.f64 2 (.f64 (log.f64 N) 4)))) 8)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 N (log.f64 N)) 2) (-.f64 N (log.f64 N)))) -1)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(pow.f64 (-.f64 N (log.f64 N)) 1)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(neg.f64 (-.f64 (log.f64 N) N))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))

localize84.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 -1/2 (pow.f64 N 2))
✓	2.0b	(+.f64 (-.f64 1 (/.f64 -1 N)) (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))))

Compiler

Compiled 42 to 34 computations (19% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite360.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1274×	`rational_best-simplify-56`
1038×	`rational_best-4`
1038×	`rational_best-2`
1038×	`rational_best-3`
1038×	`rational_best-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	90	50
2	182	42
3	511	38
4	2389	38

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

Inputs
(+.f64 (-.f64 1 (/.f64 -1 N)) (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (+.f64 1 (/.f64 1/2 (pow.f64 N 2))) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 (+.f64 1 (/.f64 -1 N)) (/.f64 1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 (+.f64 1 (/.f64 1/2 (pow.f64 N 2))) (+.f64 1 (-.f64 -1 (/.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (-.f64 -1 (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 N)) (+.f64 1 (/.f64 1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 1 (-.f64 -1 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 -1 N) (/.f64 -1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (/.f64 -1/2 (pow.f64 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simplify543.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1306×	`rational_best-simplify-57`
1302×	`rational_best-simplify-51`
776×	`rational_best-simplify-3`
604×	`rational_best-simplify-65`
544×	`rational_best-simplify-56`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	253	3572
1	625	3488
2	1884	3018

Stop Event

1×	node limit

Counts

132 → 139

Calls

Call 1

Inputs
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 1 (-.f64 (+.f64 1 (/.f64 1/2 (pow.f64 N 2))) (/.f64 1 N)))
(-.f64 1 (+.f64 (+.f64 1 (/.f64 -1 N)) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 1 (+.f64 (+.f64 1 (/.f64 1/2 (pow.f64 N 2))) (+.f64 1 (-.f64 -1 (/.f64 1 N)))))
(-.f64 -1 (+.f64 (-.f64 -1 (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 1 (/.f64 1 N)) (+.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1 N))
(-.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 1 (-.f64 -1 (/.f64 1 N))))
(-.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 -1 N) (/.f64 -1/2 (pow.f64 N 2)))))
(-.f64 (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))) (-.f64 -1 (/.f64 1 N)))
(-.f64 (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))) (-.f64 (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))))
(-.f64 (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))) (+.f64 -1 (+.f64 1 (-.f64 -1 (/.f64 1 N)))))
(-.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N)) 0)
(-.f64 0 (+.f64 (/.f64 -1 N) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 0 (+.f64 (+.f64 1 (-.f64 -1 (/.f64 1 N))) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 0 (+.f64 (+.f64 (+.f64 1 (/.f64 1/2 (pow.f64 N 2))) -1) (/.f64 -1 N)))
(-.f64 0 (+.f64 (+.f64 (+.f64 1 (/.f64 1/2 (pow.f64 N 2))) -1) (+.f64 1 (-.f64 -1 (/.f64 1 N)))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (+.f64 -1 (+.f64 1 (/.f64 1/2 (pow.f64 N 2)))))
(-.f64 (+.f64 1 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))) 1)
(-.f64 (/.f64 -1 (pow.f64 N 2)) (+.f64 (/.f64 -1 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (/.f64 -1 (pow.f64 N 2)) (+.f64 2 (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 2 (/.f64 1 N)))))
(-.f64 (/.f64 -1 (pow.f64 N 2)) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 1 (-.f64 -1 (/.f64 1 N)))))
(-.f64 (-.f64 (/.f64 -1 (pow.f64 N 2)) 2) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 2 (/.f64 1 N))))
(-.f64 (-.f64 (/.f64 2 N) -2) (-.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) -2))
(-.f64 (+.f64 (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1 N)) -1)
(-.f64 (/.f64 -1/4 (pow.f64 N 2)) (-.f64 (/.f64 -1 N) (/.f64 -1/4 (pow.f64 N 2))))
(-.f64 (/.f64 -1/4 (pow.f64 N 2)) (-.f64 (+.f64 1 (-.f64 -1 (/.f64 1 N))) (/.f64 -1/4 (pow.f64 N 2))))
(-.f64 (/.f64 -1/4 (pow.f64 N 2)) (+.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 -1 N)))
(-.f64 (/.f64 -1/4 (pow.f64 N 2)) (+.f64 (/.f64 1/4 (pow.f64 N 2)) (+.f64 1 (-.f64 -1 (/.f64 1 N)))))
(-.f64 (+.f64 -1/2 (/.f64 -1/4 (pow.f64 N 2))) (-.f64 (-.f64 -1 (/.f64 1 N)) (+.f64 -1/2 (/.f64 -1/4 (pow.f64 N 2)))))
(-.f64 (+.f64 -1/2 (/.f64 -1/4 (pow.f64 N 2))) (+.f64 (neg.f64 (+.f64 -1/2 (/.f64 -1/4 (pow.f64 N 2)))) (-.f64 -1 (/.f64 1 N))))
(-.f64 (+.f64 (/.f64 1/2 N) (/.f64 -1/4 (pow.f64 N 2))) (/.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N)) -2))
(-.f64 (+.f64 1/2 (/.f64 1/2 N)) (-.f64 (+.f64 1 (/.f64 1/2 (pow.f64 N 2))) (+.f64 1/2 (/.f64 1/2 N))))
(-.f64 (+.f64 1/2 (/.f64 1/2 N)) (+.f64 (neg.f64 (+.f64 1/2 (/.f64 1/2 N))) (+.f64 1 (/.f64 1/2 (pow.f64 N 2)))))
(-.f64 (+.f64 (+.f64 1 (/.f64 1 N)) (+.f64 -1/2 (/.f64 -1/4 (pow.f64 N 2)))) (neg.f64 (+.f64 -1/2 (/.f64 -1/4 (pow.f64 N 2)))))
(-.f64 (+.f64 (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))) (+.f64 1/2 (/.f64 1/2 N))) (neg.f64 (+.f64 1/2 (/.f64 1/2 N))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 -1/4 (pow.f64 N 2))) (neg.f64 (/.f64 -1/4 (pow.f64 N 2))))
(-.f64 (+.f64 1 (+.f64 -1/2 (/.f64 -1/4 (pow.f64 N 2)))) (-.f64 (/.f64 -1 N) (+.f64 -1/2 (/.f64 -1/4 (pow.f64 N 2)))))
(-.f64 (+.f64 1 (/.f64 -1/4 (pow.f64 N 2))) (-.f64 (+.f64 1 (/.f64 -1 N)) (/.f64 -1/4 (pow.f64 N 2))))
(-.f64 (+.f64 (+.f64 1 (/.f64 1 N)) (/.f64 -1/4 (pow.f64 N 2))) (-.f64 1 (/.f64 -1/4 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 1/2 (/.f64 1/2 N))) (-.f64 1 (+.f64 1/2 (/.f64 1/2 N))))
(-.f64 (-.f64 1 (/.f64 1/2 (pow.f64 N 2))) (+.f64 1 (/.f64 -1 N)))
(-.f64 (-.f64 -1 (/.f64 1/2 (pow.f64 N 2))) (-.f64 -1 (/.f64 1 N)))
(-.f64 (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 (/.f64 -1 N) (/.f64 -1/2 (pow.f64 N 2)))) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (-.f64 (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 2 (/.f64 1 N)))) (+.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (-.f64 (/.f64 -1 (pow.f64 N 2)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 2 (/.f64 1 N)))) 2)
(-.f64 (+.f64 -1 (/.f64 -1/4 (pow.f64 N 2))) (-.f64 (-.f64 -1 (/.f64 1 N)) (/.f64 -1/4 (pow.f64 N 2))))
(-.f64 (+.f64 (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))) (-.f64 -1 (/.f64 -1 N))) -2)
(-.f64 (+.f64 (-.f64 -1 (/.f64 -1 N)) (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2)))) -2)
(*.f64 1 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N)))
(*.f64 -1 (+.f64 (/.f64 -1 N) (/.f64 1/2 (pow.f64 N 2))))
(.f64 2 (.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N)) 1/2))
(*.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N)) 1)
(*.f64 -2 (-.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/2 N)))
(*.f64 (+.f64 (/.f64 -1 (pow.f64 N 2)) (/.f64 2 N)) 1/2)
(*.f64 (+.f64 (/.f64 -1 N) (/.f64 1/2 (pow.f64 N 2))) -1)
(*.f64 1/2 (+.f64 (/.f64 -1 (pow.f64 N 2)) (/.f64 2 N)))
(*.f64 1/2 (-.f64 (/.f64 -1 (pow.f64 N 2)) (/.f64 -2 N)))
(*.f64 1/2 (-.f64 (/.f64 -2 (pow.f64 N 2)) (+.f64 (/.f64 -1 (pow.f64 N 2)) (/.f64 -2 N))))
(.f64 (.f64 2 (+.f64 (/.f64 -1 (pow.f64 N 2)) (/.f64 2 N))) 1/4)
(.f64 1/4 (.f64 2 (+.f64 (/.f64 -1 (pow.f64 N 2)) (/.f64 2 N))))
(.f64 (.f64 (+.f64 (/.f64 -1 (pow.f64 N 2)) (/.f64 2 N)) 4) 1/8)
(/.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N)) 1)
(/.f64 (+.f64 (/.f64 -1 (pow.f64 N 2)) (/.f64 2 N)) 2)
(/.f64 (+.f64 (/.f64 -1 N) (/.f64 1/2 (pow.f64 N 2))) -1)
(/.f64 (*.f64 2 (+.f64 (/.f64 -1 (pow.f64 N 2)) (/.f64 2 N))) 4)
(/.f64 (+.f64 (/.f64 1/2 N) (/.f64 -1/4 (pow.f64 N 2))) 1/2)
(/.f64 (*.f64 (+.f64 (/.f64 -1 (pow.f64 N 2)) (/.f64 2 N)) 4) 8)
(/.f64 (-.f64 (/.f64 -1 (pow.f64 N 2)) (/.f64 -2 N)) 2)
(/.f64 (-.f64 (/.f64 -2 (pow.f64 N 2)) (+.f64 (/.f64 -1 (pow.f64 N 2)) (/.f64 -2 N))) 2)
(/.f64 (-.f64 (/.f64 -2 (pow.f64 N 2)) (/.f64 -4 N)) 4)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 N)) 4) (neg.f64 (.f64 2 (-.f64 (/.f64 -1 (pow.f64 N 2)) 2)))) 4)
(/.f64 (-.f64 (.f64 2 (/.f64 -2 (pow.f64 N 2))) (.f64 2 (/.f64 -4 N))) 8)
(/.f64 (-.f64 (.f64 2 (-.f64 (/.f64 -1 (pow.f64 N 2)) 2)) (neg.f64 (.f64 (+.f64 1 (/.f64 1 N)) 4))) 4)
(/.f64 (-.f64 (*.f64 2 (/.f64 -2 (pow.f64 N 2))) (+.f64 (/.f64 -4 N) (/.f64 -2 (pow.f64 N 2)))) 4)
(pow.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N)) 1)
(neg.f64 (+.f64 (/.f64 -1 N) (/.f64 1/2 (pow.f64 N 2))))
(neg.f64 (+.f64 (+.f64 1 (-.f64 -1 (/.f64 1 N))) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 1 (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))))
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(+.f64 0 (/.f64 -1/2 (pow.f64 N 2)))
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(+.f64 (/.f64 -1/4 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 2)))
(+.f64 (+.f64 -1/2 (/.f64 -1/4 (pow.f64 N 2))) (+.f64 1 (+.f64 -1/2 (/.f64 -1/4 (pow.f64 N 2)))))
(+.f64 (+.f64 1 (+.f64 -1/2 (/.f64 -1/4 (pow.f64 N 2)))) (+.f64 -1/2 (/.f64 -1/4 (pow.f64 N 2))))
(-.f64 1 (+.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 -1/2 (pow.f64 N 2)) 0)
(-.f64 (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))) -1)
(-.f64 0 (/.f64 1/2 (pow.f64 N 2)))
(-.f64 0 (+.f64 (+.f64 1 (/.f64 1/2 (pow.f64 N 2))) -1))
(-.f64 (/.f64 -1/4 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 2)))
(-.f64 (neg.f64 (/.f64 1/4 (pow.f64 N 2))) (/.f64 1/4 (pow.f64 N 2)))
(*.f64 1 (/.f64 -1/2 (pow.f64 N 2)))
(*.f64 -1 (/.f64 1/2 (pow.f64 N 2)))
(.f64 -1 (.f64 (/.f64 1 (pow.f64 N 2)) 1/2))
(*.f64 -1/2 (/.f64 1 (pow.f64 N 2)))
(*.f64 2 (/.f64 -1/4 (pow.f64 N 2)))
(.f64 2 (.f64 (/.f64 -1/2 (pow.f64 N 2)) 1/2))
(*.f64 (/.f64 -1/2 (pow.f64 N 2)) 1)
(*.f64 -2 (/.f64 1/4 (pow.f64 N 2)))
(.f64 -2 (.f64 (/.f64 1/2 (pow.f64 N 2)) 1/2))
(*.f64 (/.f64 -1 (pow.f64 N 2)) 1/2)
(.f64 -4 (/.f64 1/2 (.f64 (pow.f64 N 2) 4)))
(.f64 -4 (.f64 (/.f64 1/4 (pow.f64 N 2)) 1/2))
(*.f64 1/2 (/.f64 -1 (pow.f64 N 2)))
(*.f64 (/.f64 1 (pow.f64 N 2)) -1/2)
(*.f64 (/.f64 1/4 (pow.f64 N 2)) -2)
(*.f64 (/.f64 1/2 (pow.f64 N 2)) -1)
(.f64 -8 (/.f64 1 (.f64 (*.f64 (pow.f64 N 2) 4) 4)))
(.f64 -8 (/.f64 1/2 (.f64 2 (*.f64 (pow.f64 N 2) 4))))
(*.f64 (/.f64 -2 (pow.f64 N 2)) 1/4)
(*.f64 (/.f64 -1/4 (pow.f64 N 2)) 2)
(*.f64 1/4 (/.f64 -2 (pow.f64 N 2)))
(.f64 (/.f64 1/2 (.f64 (pow.f64 N 2) 4)) -4)
(.f64 (.f64 2 (/.f64 -2 (pow.f64 N 2))) 1/8)
(pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 1)
(neg.f64 (/.f64 1/2 (pow.f64 N 2)))
(neg.f64 (+.f64 (+.f64 1 (/.f64 1/2 (pow.f64 N 2))) -1))

Outputs
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
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(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
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(/.f64 1 N)
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(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
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(.f64 -1 (.f64 (/.f64 1 (pow.f64 N 2)) 1/2))
(/.f64 -1/2 (pow.f64 N 2))
(*.f64 -1/2 (/.f64 1 (pow.f64 N 2)))
(/.f64 -1/2 (pow.f64 N 2))
(*.f64 2 (/.f64 -1/4 (pow.f64 N 2)))
(/.f64 -1/2 (pow.f64 N 2))
(.f64 2 (.f64 (/.f64 -1/2 (pow.f64 N 2)) 1/2))
(/.f64 -1/2 (pow.f64 N 2))
(*.f64 (/.f64 -1/2 (pow.f64 N 2)) 1)
(/.f64 -1/2 (pow.f64 N 2))
(*.f64 -2 (/.f64 1/4 (pow.f64 N 2)))
(/.f64 -1/2 (pow.f64 N 2))
(.f64 -2 (.f64 (/.f64 1/2 (pow.f64 N 2)) 1/2))
(/.f64 -1/2 (pow.f64 N 2))
(*.f64 (/.f64 -1 (pow.f64 N 2)) 1/2)
(/.f64 -1/2 (pow.f64 N 2))
(.f64 -4 (/.f64 1/2 (.f64 (pow.f64 N 2) 4)))
(/.f64 -1/2 (pow.f64 N 2))
(.f64 -4 (.f64 (/.f64 1/4 (pow.f64 N 2)) 1/2))
(/.f64 -1/2 (pow.f64 N 2))
(*.f64 1/2 (/.f64 -1 (pow.f64 N 2)))
(/.f64 -1/2 (pow.f64 N 2))
(*.f64 (/.f64 1 (pow.f64 N 2)) -1/2)
(/.f64 -1/2 (pow.f64 N 2))
(*.f64 (/.f64 1/4 (pow.f64 N 2)) -2)
(/.f64 -1/2 (pow.f64 N 2))
(*.f64 (/.f64 1/2 (pow.f64 N 2)) -1)
(/.f64 -1/2 (pow.f64 N 2))
(.f64 -8 (/.f64 1 (.f64 (*.f64 (pow.f64 N 2) 4) 4)))
(/.f64 -1/2 (pow.f64 N 2))
(.f64 -8 (/.f64 1/2 (.f64 2 (*.f64 (pow.f64 N 2) 4))))
(/.f64 -1/2 (pow.f64 N 2))
(*.f64 (/.f64 -2 (pow.f64 N 2)) 1/4)
(/.f64 -1/2 (pow.f64 N 2))
(*.f64 (/.f64 -1/4 (pow.f64 N 2)) 2)
(/.f64 -1/2 (pow.f64 N 2))
(*.f64 1/4 (/.f64 -2 (pow.f64 N 2)))
(/.f64 -1/2 (pow.f64 N 2))
(.f64 (/.f64 1/2 (.f64 (pow.f64 N 2) 4)) -4)
(/.f64 -1/2 (pow.f64 N 2))
(.f64 (.f64 2 (/.f64 -2 (pow.f64 N 2))) 1/8)
(/.f64 -1/2 (pow.f64 N 2))
(pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 1)
(/.f64 -1/2 (pow.f64 N 2))
(neg.f64 (/.f64 1/2 (pow.f64 N 2)))
(/.f64 -1/2 (pow.f64 N 2))
(neg.f64 (+.f64 (+.f64 1 (/.f64 1/2 (pow.f64 N 2))) -1))
(/.f64 -1/2 (pow.f64 N 2))

localize210.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -1/2 (pow.f64 N 2))
✓	0.0b	(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
✓	0.0b	(-.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) (log.f64 N))

Compiler

Compiled 31 to 21 computations (32.3% saved)

series1.0ms (0%)

Counts

3 → 15

Calls

9 calls:

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

rewrite648.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`rational_best-simplify-56`
878×	`rational_best-simplify-86`
814×	`rational_best-4`
814×	`rational_best-2`
814×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	72	61
2	143	61
3	404	61
4	1842	61
5	7458	61

Stop Event

1×	node limit

Counts

3 → 155

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 N (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (-.f64 (log.f64 N) (+.f64 N (*.f64 -1/2 (pow.f64 N 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 N)) N)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 N)) (+.f64 N (*.f64 -1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) (log.f64 N)) (-.f64 (*.f64 (pow.f64 N 2) 1/2) N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N) (-.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (pow.f64 N 2) -4) (/.f64 (-.f64 (log.f64 N) N) 2)) (-.f64 (/.f64 (pow.f64 N 2) -4) (/.f64 (-.f64 (log.f64 N) N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 N 2) (/.f64 (pow.f64 N 2) 4)) (-.f64 (-.f64 (/.f64 N 2) (/.f64 (pow.f64 N 2) 4)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 N 2) -4) (-.f64 (/.f64 (pow.f64 N 2) -4) (-.f64 (log.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (/.f64 N 2) (/.f64 (pow.f64 N 2) 4)) (log.f64 N)) (-.f64 (/.f64 N 2) (/.f64 (pow.f64 N 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 N) -2) (-.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) (/.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) (/.f64 (log.f64 N) 2)) (/.f64 (log.f64 N) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (pow.f64 N 2) -4) (log.f64 N)) (-.f64 (/.f64 (pow.f64 N 2) -4) (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 N 2) (log.f64 N)) (/.f64 (-.f64 N (pow.f64 N 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 N (pow.f64 N 2)) 2) (-.f64 (/.f64 N 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (pow.f64 N 2) -4) (neg.f64 N)) (-.f64 (/.f64 (pow.f64 N 2) -4) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (pow.f64 N 2) -4) (-.f64 (log.f64 N) N)) (/.f64 (pow.f64 N 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N)) (-.f64 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (log.f64 N)) (-.f64 -1 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2)))) (-.f64 1 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (neg.f64 N)) (-.f64 -1 (-.f64 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (log.f64 N)) (-.f64 1 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N)) (-.f64 -1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (neg.f64 N)) (-.f64 1 (-.f64 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (-.f64 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2)))) (-.f64 -1 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 (pow.f64 N 2) 1/2)) (-.f64 1 (-.f64 (log.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (log.f64 N) (+.f64 N (*.f64 -1/2 (pow.f64 N 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (*.f64 N -2) (neg.f64 (pow.f64 N 2)))) (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (+.f64 N (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (log.f64 N) N)) (-.f64 1 (*.f64 (pow.f64 N 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (neg.f64 (-.f64 N (pow.f64 N 2)))) (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (*.f64 (pow.f64 N 2) 1/2) (+.f64 N N))) (-.f64 1 (+.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 -3 (-.f64 (/.f64 N 2) (/.f64 (pow.f64 N 2) 4)))) (-.f64 1 (+.f64 (log.f64 N) (-.f64 (/.f64 N 2) (/.f64 (pow.f64 N 2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N) (/.f64 (log.f64 N) 2))) (-.f64 1 (+.f64 (log.f64 N) (/.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N) (/.f64 (log.f64 N) 2))) (-.f64 1 (*.f64 3 (/.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 N (log.f64 N))) (-.f64 1 (-.f64 (*.f64 (pow.f64 N 2) 1/2) (+.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 N))) (-.f64 1 (neg.f64 (-.f64 N (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (+.f64 N (log.f64 N)))) (-.f64 1 (-.f64 (*.f64 N -2) (neg.f64 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (log.f64 N) (-.f64 (/.f64 N 2) (/.f64 (pow.f64 N 2) 4)))) (-.f64 1 (*.f64 -3 (-.f64 (/.f64 N 2) (/.f64 (pow.f64 N 2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (log.f64 N) (/.f64 (log.f64 N) 2))) (-.f64 1 (-.f64 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N) (/.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 3 (/.f64 (log.f64 N) 2))) (-.f64 1 (-.f64 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N) (/.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (/.f64 (pow.f64 N 2) -4) (/.f64 (-.f64 (log.f64 N) N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (log.f64 N) (+.f64 N (*.f64 -1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 N) (+.f64 N (*.f64 -1/2 (pow.f64 N 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 (pow.f64 N 2)) (*.f64 2 (-.f64 (log.f64 N) N))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (neg.f64 (pow.f64 N 2)) (*.f64 2 (-.f64 (log.f64 N) N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 (neg.f64 (pow.f64 N 2)) (*.f64 (log.f64 N) -2)) (+.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 N N) (+.f64 (neg.f64 (pow.f64 N 2)) (*.f64 (log.f64 N) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 N 2)) (*.f64 2 (-.f64 (log.f64 N) N))) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 N) (+.f64 N (*.f64 -1/2 (pow.f64 N 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (pow.f64 N 2)) (*.f64 2 (-.f64 (log.f64 N) N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (log.f64 N)) (-.f64 (+.f64 N N) (pow.f64 N 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 N 2)) (*.f64 2 (-.f64 (log.f64 N) N))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (-.f64 (neg.f64 (pow.f64 N 2)) (*.f64 2 (-.f64 (log.f64 N) N)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 N -2) (+.f64 (neg.f64 (pow.f64 N 2)) (*.f64 (log.f64 N) -2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -2 (-.f64 (neg.f64 (pow.f64 N 2)) (*.f64 2 (-.f64 (log.f64 N) N))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 N -2) (+.f64 (neg.f64 (pow.f64 N 2)) (*.f64 (log.f64 N) -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 (pow.f64 N 2) -2) (*.f64 (log.f64 N) 4)) (neg.f64 (*.f64 N 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) 4) (*.f64 2 (*.f64 (log.f64 N) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 N N) (-.f64 (*.f64 2 (log.f64 N)) (neg.f64 (pow.f64 N 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 N 4) (-.f64 (*.f64 (log.f64 N) 4) (*.f64 (pow.f64 N 2) -2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (pow.f64 N 2)) (*.f64 (-.f64 (log.f64 N) N) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 N 2) -2) (-.f64 (*.f64 (log.f64 N) 4) (*.f64 N 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 N 2)) (*.f64 (log.f64 N) -2)) 2) (neg.f64 (*.f64 N 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 N) -2) (-.f64 (*.f64 N -2) (neg.f64 (pow.f64 N 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (-.f64 N (log.f64 N))) (pow.f64 N 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 N 4) (*.f64 (log.f64 N) 4)) (neg.f64 (*.f64 (pow.f64 N 2) -2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 N 2)) (*.f64 2 (-.f64 (log.f64 N) N))) 4) (*.f64 (-.f64 (neg.f64 (pow.f64 N 2)) (*.f64 2 (-.f64 (log.f64 N) N))) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log.f64 N) (+.f64 N (*.f64 -1/2 (pow.f64 N 2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 N (*.f64 (pow.f64 N 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/2 (pow.f64 N 2)) (neg.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) (+.f64 (/.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) -2) (-.f64 (/.f64 N 2) (/.f64 (pow.f64 N 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 N) (-.f64 (log.f64 N) (+.f64 N (*.f64 -1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) (+.f64 N (*.f64 -1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N N) (+.f64 N (*.f64 (pow.f64 N 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (log.f64 N)) (-.f64 (*.f64 2 (log.f64 N)) (+.f64 N (*.f64 -1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (pow.f64 N 2)) (-.f64 (*.f64 -1/2 (pow.f64 N 2)) N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 N 2) -2) (+.f64 (-.f64 (*.f64 -1/2 (pow.f64 N 2)) N) (neg.f64 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 N 2) -2) (*.f64 N 4)) (*.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 N 2) (/.f64 (pow.f64 N 2) 4)) (/.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 N 2) (/.f64 (-.f64 (pow.f64 N 2) N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 N 2) (+.f64 (/.f64 N -2) (*.f64 (pow.f64 N 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 N) 2) (+.f64 (-.f64 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N) (/.f64 (log.f64 N) 2)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 N 2) -4) (-.f64 (neg.f64 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(-.f64 (*.f64 (pow.f64 N 2) 1/2) N) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 N 2) -2) (*.f64 N 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (*.f64 (pow.f64 N 2) -2) (*.f64 N 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 N 2) -2) (*.f64 N 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 N) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 N 4) (neg.f64 (*.f64 (pow.f64 N 2) -2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 N 2) -2) (neg.f64 (*.f64 N 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) 4) (*.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (pow.f64 N 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 N 2) -4) (/.f64 (pow.f64 N 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/2 (pow.f64 N 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 N 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 N 2) -4) (/.f64 (pow.f64 N 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 N 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (pow.f64 N 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 N 2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 N 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 N 2) -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 N 2)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (neg.f64 (pow.f64 N 2)) 4) (*.f64 (neg.f64 (pow.f64 N 2)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (pow.f64 N 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 N 2) 1/2))))))

simplify507.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1192×	`rational_best-simplify-57`
1088×	`rational_best-simplify-47`
1080×	`rational_best-simplify-52`
962×	`rational_best-simplify-48`
920×	`rational_best-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	371	5784
1	902	5684
2	2392	5386

Stop Event

1×	node limit

Counts

170 → 254

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(*.f64 -1/2 (pow.f64 N 2))
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (+.f64 (log.f64 (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (log.f64 (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N 2))))
(*.f64 -1/2 (pow.f64 N 2))
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1/2 (pow.f64 N 2))))
N
(*.f64 -1/2 (pow.f64 N 2))
(*.f64 -1/2 (pow.f64 N 2))
(+.f64 N (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 N)))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(+.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) (neg.f64 (log.f64 N)))
(+.f64 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N))) 0)
(+.f64 0 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N))))
(+.f64 -1 (-.f64 1 (-.f64 (log.f64 N) (+.f64 N (*.f64 -1/2 (pow.f64 N 2))))))
(+.f64 (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 N)) N)
(+.f64 (neg.f64 (log.f64 N)) (+.f64 N (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (-.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) (log.f64 N)) (-.f64 (*.f64 (pow.f64 N 2) 1/2) N))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N) (-.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) (log.f64 N)))
(+.f64 (-.f64 (/.f64 (pow.f64 N 2) -4) (/.f64 (-.f64 (log.f64 N) N) 2)) (-.f64 (/.f64 (pow.f64 N 2) -4) (/.f64 (-.f64 (log.f64 N) N) 2)))
(+.f64 (-.f64 (/.f64 N 2) (/.f64 (pow.f64 N 2) 4)) (-.f64 (-.f64 (/.f64 N 2) (/.f64 (pow.f64 N 2) 4)) (log.f64 N)))
(+.f64 (/.f64 (pow.f64 N 2) -4) (-.f64 (/.f64 (pow.f64 N 2) -4) (-.f64 (log.f64 N) N)))
(+.f64 (-.f64 (-.f64 (/.f64 N 2) (/.f64 (pow.f64 N 2) 4)) (log.f64 N)) (-.f64 (/.f64 N 2) (/.f64 (pow.f64 N 2) 4)))
(+.f64 (/.f64 (log.f64 N) -2) (-.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) (/.f64 (log.f64 N) 2)))
(+.f64 (-.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) (/.f64 (log.f64 N) 2)) (/.f64 (log.f64 N) -2))
(+.f64 (-.f64 (/.f64 (pow.f64 N 2) -4) (log.f64 N)) (-.f64 (/.f64 (pow.f64 N 2) -4) (neg.f64 N)))
(+.f64 (-.f64 (/.f64 N 2) (log.f64 N)) (/.f64 (-.f64 N (pow.f64 N 2)) 2))
(+.f64 (/.f64 (-.f64 N (pow.f64 N 2)) 2) (-.f64 (/.f64 N 2) (log.f64 N)))
(+.f64 (-.f64 (/.f64 (pow.f64 N 2) -4) (neg.f64 N)) (-.f64 (/.f64 (pow.f64 N 2) -4) (log.f64 N)))
(+.f64 (-.f64 (/.f64 (pow.f64 N 2) -4) (-.f64 (log.f64 N) N)) (/.f64 (pow.f64 N 2) -4))
(+.f64 (-.f64 -1 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N)) (-.f64 1 (log.f64 N)))
(+.f64 (-.f64 1 (log.f64 N)) (-.f64 -1 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N)))
(+.f64 (-.f64 -1 (-.f64 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2)))) (-.f64 1 (neg.f64 N)))
(+.f64 (-.f64 1 (neg.f64 N)) (-.f64 -1 (-.f64 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 (-.f64 -1 (log.f64 N)) (-.f64 1 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N)))
(+.f64 (-.f64 1 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N)) (-.f64 -1 (log.f64 N)))
(+.f64 (-.f64 -1 (neg.f64 N)) (-.f64 1 (-.f64 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 (-.f64 1 (-.f64 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2)))) (-.f64 -1 (neg.f64 N)))
(+.f64 (-.f64 -1 (*.f64 (pow.f64 N 2) 1/2)) (-.f64 1 (-.f64 (log.f64 N) N)))
(+.f64 (-.f64 -1 (-.f64 (log.f64 N) (+.f64 N (*.f64 -1/2 (pow.f64 N 2))))) 1)
(+.f64 (-.f64 -1 (-.f64 (.f64 N -2) (neg.f64 (pow.f64 N 2)))) (-.f64 1 (+.f64 (.f64 -1/2 (pow.f64 N 2)) (+.f64 N (log.f64 N)))))
(+.f64 (-.f64 -1 (-.f64 (log.f64 N) N)) (-.f64 1 (*.f64 (pow.f64 N 2) 1/2)))
(+.f64 (-.f64 -1 (neg.f64 (-.f64 N (pow.f64 N 2)))) (-.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 N))))
(+.f64 (-.f64 -1 (-.f64 (*.f64 (pow.f64 N 2) 1/2) (+.f64 N N))) (-.f64 1 (+.f64 N (log.f64 N))))
(+.f64 (-.f64 -1 (*.f64 -3 (-.f64 (/.f64 N 2) (/.f64 (pow.f64 N 2) 4)))) (-.f64 1 (+.f64 (log.f64 N) (-.f64 (/.f64 N 2) (/.f64 (pow.f64 N 2) 4)))))
(+.f64 (-.f64 -1 (-.f64 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N) (/.f64 (log.f64 N) 2))) (-.f64 1 (+.f64 (log.f64 N) (/.f64 (log.f64 N) 2))))
(+.f64 (-.f64 -1 (-.f64 (-.f64 (.f64 (pow.f64 N 2) 1/2) N) (/.f64 (log.f64 N) 2))) (-.f64 1 (.f64 3 (/.f64 (log.f64 N) 2))))
(+.f64 (-.f64 -1 (+.f64 N (log.f64 N))) (-.f64 1 (-.f64 (*.f64 (pow.f64 N 2) 1/2) (+.f64 N N))))
(+.f64 (-.f64 -1 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 N))) (-.f64 1 (neg.f64 (-.f64 N (pow.f64 N 2)))))
(+.f64 (-.f64 -1 (+.f64 (.f64 -1/2 (pow.f64 N 2)) (+.f64 N (log.f64 N)))) (-.f64 1 (-.f64 (.f64 N -2) (neg.f64 (pow.f64 N 2)))))
(+.f64 (-.f64 -1 (+.f64 (log.f64 N) (-.f64 (/.f64 N 2) (/.f64 (pow.f64 N 2) 4)))) (-.f64 1 (*.f64 -3 (-.f64 (/.f64 N 2) (/.f64 (pow.f64 N 2) 4)))))
(+.f64 (-.f64 -1 (+.f64 (log.f64 N) (/.f64 (log.f64 N) 2))) (-.f64 1 (-.f64 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N) (/.f64 (log.f64 N) 2))))
(+.f64 (-.f64 -1 (.f64 3 (/.f64 (log.f64 N) 2))) (-.f64 1 (-.f64 (-.f64 (.f64 (pow.f64 N 2) 1/2) N) (/.f64 (log.f64 N) 2))))
(*.f64 2 (-.f64 (/.f64 (pow.f64 N 2) -4) (/.f64 (-.f64 (log.f64 N) N) 2)))
(.f64 2 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N))) 1/2))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N))) 1)
(.f64 1 (+.f64 (.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N))))
(.f64 -1 (-.f64 (log.f64 N) (+.f64 N (.f64 -1/2 (pow.f64 N 2)))))
(.f64 (-.f64 (log.f64 N) (+.f64 N (.f64 -1/2 (pow.f64 N 2)))) -1)
(.f64 (-.f64 (neg.f64 (pow.f64 N 2)) (.f64 2 (-.f64 (log.f64 N) N))) 1/2)
(.f64 -2 (/.f64 (+.f64 (.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N))) -2))
(.f64 1/2 (-.f64 (neg.f64 (pow.f64 N 2)) (.f64 2 (-.f64 (log.f64 N) N))))
(.f64 1/2 (+.f64 (+.f64 (neg.f64 (pow.f64 N 2)) (.f64 (log.f64 N) -2)) (+.f64 N N)))
(.f64 1/2 (+.f64 (+.f64 N N) (+.f64 (neg.f64 (pow.f64 N 2)) (.f64 (log.f64 N) -2))))
(.f64 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N))) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N))) 4))
(.f64 (.f64 (-.f64 (neg.f64 (pow.f64 N 2)) (*.f64 2 (-.f64 (log.f64 N) N))) 4) 1/8)
(/.f64 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N))) 1)
(/.f64 (-.f64 (log.f64 N) (+.f64 N (*.f64 -1/2 (pow.f64 N 2)))) -1)
(/.f64 (-.f64 (neg.f64 (pow.f64 N 2)) (*.f64 2 (-.f64 (log.f64 N) N))) 2)
(/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N))) 4) 4)
(/.f64 (-.f64 (*.f64 2 (log.f64 N)) (-.f64 (+.f64 N N) (pow.f64 N 2))) -2)
(/.f64 (.f64 (-.f64 (neg.f64 (pow.f64 N 2)) (.f64 2 (-.f64 (log.f64 N) N))) 4) 8)
(/.f64 (.f64 -2 (-.f64 (neg.f64 (pow.f64 N 2)) (.f64 2 (-.f64 (log.f64 N) N)))) -4)
(/.f64 (-.f64 (.f64 N -2) (+.f64 (neg.f64 (pow.f64 N 2)) (.f64 (log.f64 N) -2))) -2)
(/.f64 (neg.f64 (.f64 -2 (-.f64 (neg.f64 (pow.f64 N 2)) (.f64 2 (-.f64 (log.f64 N) N))))) 4)
(/.f64 (neg.f64 (-.f64 (.f64 N -2) (+.f64 (neg.f64 (pow.f64 N 2)) (.f64 (log.f64 N) -2)))) 2)
(/.f64 (-.f64 (-.f64 (.f64 (pow.f64 N 2) -2) (.f64 (log.f64 N) 4)) (neg.f64 (*.f64 N 4))) 4)
(/.f64 (-.f64 (.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) 4) (.f64 2 (*.f64 (log.f64 N) 4))) 8)
(/.f64 (-.f64 (+.f64 N N) (-.f64 (*.f64 2 (log.f64 N)) (neg.f64 (pow.f64 N 2)))) 2)
(/.f64 (-.f64 (.f64 N 4) (-.f64 (.f64 (log.f64 N) 4) (*.f64 (pow.f64 N 2) -2))) 4)
(/.f64 (-.f64 (neg.f64 (pow.f64 N 2)) (*.f64 (-.f64 (log.f64 N) N) 2)) 2)
(/.f64 (-.f64 (.f64 (pow.f64 N 2) -2) (-.f64 (.f64 (log.f64 N) 4) (*.f64 N 4))) 4)
(/.f64 (-.f64 (.f64 (+.f64 (neg.f64 (pow.f64 N 2)) (.f64 (log.f64 N) -2)) 2) (neg.f64 (*.f64 N 4))) 4)
(/.f64 (-.f64 (.f64 (log.f64 N) -2) (-.f64 (.f64 N -2) (neg.f64 (pow.f64 N 2)))) 2)
(/.f64 (-.f64 (*.f64 2 (-.f64 N (log.f64 N))) (pow.f64 N 2)) 2)
(/.f64 (-.f64 (-.f64 (.f64 N 4) (.f64 (log.f64 N) 4)) (neg.f64 (*.f64 (pow.f64 N 2) -2))) 4)
(/.f64 (+.f64 (.f64 (-.f64 (neg.f64 (pow.f64 N 2)) (.f64 2 (-.f64 (log.f64 N) N))) 4) (.f64 (-.f64 (neg.f64 (pow.f64 N 2)) (.f64 2 (-.f64 (log.f64 N) N))) 4)) 16)
(pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N))) 1)
(neg.f64 (-.f64 (log.f64 N) (+.f64 N (*.f64 -1/2 (pow.f64 N 2)))))
(-.f64 N (*.f64 (pow.f64 N 2) 1/2))
(-.f64 (*.f64 -1/2 (pow.f64 N 2)) (neg.f64 N))
(-.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) 0)
(-.f64 (+.f64 N (.f64 -1/2 (pow.f64 N 2))) (+.f64 (/.f64 (+.f64 N (.f64 -1/2 (pow.f64 N 2))) -2) (-.f64 (/.f64 N 2) (/.f64 (pow.f64 N 2) 4))))
(-.f64 (log.f64 N) (-.f64 (log.f64 N) (+.f64 N (*.f64 -1/2 (pow.f64 N 2)))))
(-.f64 0 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N))
(-.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) (+.f64 N (*.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 N N) (+.f64 N (*.f64 (pow.f64 N 2) 1/2)))
(-.f64 (.f64 2 (log.f64 N)) (-.f64 (.f64 2 (log.f64 N)) (+.f64 N (*.f64 -1/2 (pow.f64 N 2)))))
(-.f64 (neg.f64 (pow.f64 N 2)) (-.f64 (*.f64 -1/2 (pow.f64 N 2)) N))
(-.f64 (.f64 (pow.f64 N 2) -2) (+.f64 (-.f64 (.f64 -1/2 (pow.f64 N 2)) N) (neg.f64 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 (pow.f64 N 2) -2) (.f64 N 4)) (.f64 (+.f64 N (.f64 -1/2 (pow.f64 N 2))) 3))
(-.f64 (-.f64 (/.f64 N 2) (/.f64 (pow.f64 N 2) 4)) (/.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) -2))
(-.f64 (/.f64 N 2) (/.f64 (-.f64 (pow.f64 N 2) N) 2))
(-.f64 (/.f64 N 2) (+.f64 (/.f64 N -2) (*.f64 (pow.f64 N 2) 1/2)))
(-.f64 (/.f64 (log.f64 N) 2) (+.f64 (-.f64 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N) (/.f64 (log.f64 N) 2)) (log.f64 N)))
(-.f64 (/.f64 (pow.f64 N 2) -4) (-.f64 (neg.f64 N) (/.f64 (pow.f64 N 2) -4)))
(-.f64 (/.f64 (pow.f64 N 2) -4) (+.f64 (/.f64 (pow.f64 N 2) 4) (neg.f64 N)))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (+.f64 N (log.f64 N))) (log.f64 N))
(-.f64 (+.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) (/.f64 (log.f64 N) 2)) (+.f64 (/.f64 (log.f64 N) -2) (log.f64 N)))
(-.f64 (+.f64 (log.f64 N) (-.f64 (/.f64 N 2) (/.f64 (pow.f64 N 2) 4))) (+.f64 (/.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) -2) (log.f64 N)))
(-.f64 (+.f64 N (/.f64 (pow.f64 N 2) -4)) (/.f64 (pow.f64 N 2) 4))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (/.f64 N 2)) (/.f64 N -2))
(-.f64 (+.f64 N (/.f64 (log.f64 N) 2)) (+.f64 (/.f64 (-.f64 (pow.f64 N 2) (log.f64 N)) 2) (log.f64 N)))
(-.f64 (/.f64 (-.f64 N (pow.f64 N 2)) 2) (/.f64 N -2))
(-.f64 (-.f64 (/.f64 (pow.f64 N 2) -4) (neg.f64 N)) (/.f64 (pow.f64 N 2) 4))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (/.f64 (log.f64 N) 2)) (+.f64 (-.f64 (neg.f64 N) (/.f64 (log.f64 N) 2)) (log.f64 N)))
(-.f64 (-.f64 (/.f64 (log.f64 N) 2) (pow.f64 N 2)) (+.f64 (-.f64 (-.f64 (*.f64 -1/2 (pow.f64 N 2)) N) (/.f64 (log.f64 N) 2)) (log.f64 N)))
(-.f64 (+.f64 (+.f64 (.f64 -1/2 (pow.f64 N 2)) (+.f64 N (log.f64 N))) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (+.f64 N (log.f64 N)))) (+.f64 (log.f64 N) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (+.f64 N (log.f64 N)))))
(-.f64 (+.f64 (+.f64 N (+.f64 N (.f64 -1/2 (pow.f64 N 2)))) (+.f64 N (+.f64 N (.f64 -1/2 (pow.f64 N 2))))) (+.f64 N (+.f64 N (+.f64 N (*.f64 -1/2 (pow.f64 N 2))))))
(-.f64 (+.f64 (-.f64 N (pow.f64 N 2)) (-.f64 N (pow.f64 N 2))) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (pow.f64 N 2))))
(-.f64 (+.f64 (-.f64 -1 (.f64 N -2)) (-.f64 -1 (.f64 N -2))) (+.f64 (-.f64 -1 (-.f64 (.f64 -1/2 (pow.f64 N 2)) N)) (-.f64 -1 (.f64 N -2))))
(-.f64 (+.f64 (.f64 3 (-.f64 (/.f64 N 2) (/.f64 (pow.f64 N 2) 4))) (.f64 3 (-.f64 (/.f64 N 2) (/.f64 (pow.f64 N 2) 4)))) (-.f64 (+.f64 N N) (pow.f64 N 2)))
(-.f64 (+.f64 (+.f64 (+.f64 N (.f64 -1/2 (pow.f64 N 2))) (/.f64 (log.f64 N) 2)) (+.f64 (+.f64 N (.f64 -1/2 (pow.f64 N 2))) (/.f64 (log.f64 N) 2))) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (+.f64 N (log.f64 N))))
(-.f64 (+.f64 (+.f64 (.f64 -1/2 (pow.f64 N 2)) (/.f64 (pow.f64 N 2) -4)) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (/.f64 (pow.f64 N 2) -4))) (+.f64 (-.f64 (/.f64 (pow.f64 N 2) -4) N) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (/.f64 (pow.f64 N 2) -4))))
(-.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 N 2) -4)) (.f64 3 (/.f64 (pow.f64 N 2) -4))) (+.f64 (-.f64 (/.f64 (pow.f64 N 2) -4) N) (*.f64 3 (/.f64 (pow.f64 N 2) -4))))
(*.f64 2 (-.f64 (/.f64 N 2) (/.f64 (pow.f64 N 2) 4)))
(.f64 2 (.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) 1/2))
(.f64 (+.f64 N (.f64 -1/2 (pow.f64 N 2))) 1)
(.f64 1 (+.f64 N (.f64 -1/2 (pow.f64 N 2))))
(*.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) 1/2)
(.f64 -2 (/.f64 (+.f64 N (.f64 -1/2 (pow.f64 N 2))) -2))
(*.f64 1/2 (-.f64 (+.f64 N N) (pow.f64 N 2)))
(.f64 (-.f64 (.f64 (pow.f64 N 2) 1/2) N) -1)
(.f64 (+.f64 (.f64 (pow.f64 N 2) -2) (*.f64 N 4)) 1/4)
(.f64 1/4 (+.f64 (.f64 (pow.f64 N 2) -2) (*.f64 N 4)))
(.f64 (.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) 4) 1/8)
(/.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) 1)
(/.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) 2)
(/.f64 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N) -1)
(/.f64 (+.f64 (.f64 (pow.f64 N 2) -2) (.f64 N 4)) 4)
(/.f64 (*.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) 4) 8)
(/.f64 (+.f64 (log.f64 N) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))) 1)
(/.f64 (-.f64 (.f64 N 4) (neg.f64 (.f64 (pow.f64 N 2) -2))) 4)
(/.f64 (-.f64 (.f64 (pow.f64 N 2) -2) (neg.f64 (.f64 N 4))) 4)
(/.f64 (+.f64 (.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) 4) (.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) 4)) 16)
(pow.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) 1)
(neg.f64 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) 0)
(+.f64 0 (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 (/.f64 (pow.f64 N 2) -4) (/.f64 (pow.f64 N 2) -4))
(-.f64 (*.f64 -1/2 (pow.f64 N 2)) 0)
(-.f64 0 (*.f64 (pow.f64 N 2) 1/2))
(-.f64 (/.f64 (pow.f64 N 2) -4) (/.f64 (pow.f64 N 2) 4))
(/.f64 (pow.f64 N 2) -2)
(/.f64 (*.f64 -1/2 (pow.f64 N 2)) 1)
(/.f64 (*.f64 (pow.f64 N 2) 1/2) -1)
(/.f64 (neg.f64 (pow.f64 N 2)) 2)
(/.f64 (*.f64 (pow.f64 N 2) -2) 4)
(/.f64 (*.f64 (neg.f64 (pow.f64 N 2)) 4) 8)
(/.f64 (+.f64 (.f64 (neg.f64 (pow.f64 N 2)) 4) (.f64 (neg.f64 (pow.f64 N 2)) 4)) 16)
(pow.f64 (*.f64 -1/2 (pow.f64 N 2)) 1)
(neg.f64 (*.f64 (pow.f64 N 2) 1/2))

Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (neg.f64 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (+.f64 N (neg.f64 (log.f64 N))) (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (neg.f64 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (+.f64 N (neg.f64 (log.f64 N))) (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(*.f64 -1/2 (pow.f64 N 2))
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(-.f64 N (*.f64 (pow.f64 N 2) 1/2))
(+.f64 N (+.f64 (log.f64 (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (+.f64 (log.f64 (/.f64 1 N)) N))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 (/.f64 1 N))))
(+.f64 (-.f64 N (*.f64 (pow.f64 N 2) 1/2)) (log.f64 (/.f64 1 N)))
(+.f64 N (+.f64 (log.f64 (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (+.f64 (log.f64 (/.f64 1 N)) N))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 (/.f64 1 N))))
(+.f64 (-.f64 N (*.f64 (pow.f64 N 2) 1/2)) (log.f64 (/.f64 1 N)))
(*.f64 -1/2 (pow.f64 N 2))
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(-.f64 N (*.f64 (pow.f64 N 2) 1/2))
(+.f64 N (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))))
(+.f64 (-.f64 N (*.f64 (pow.f64 N 2) 1/2)) (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(+.f64 N (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))))
(+.f64 (-.f64 N (*.f64 (pow.f64 N 2) 1/2)) (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
N
(*.f64 -1/2 (pow.f64 N 2))
(*.f64 -1/2 (pow.f64 N 2))
(+.f64 N (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 N)))
(+.f64 N (+.f64 (neg.f64 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (+.f64 N (neg.f64 (log.f64 N))) (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(+.f64 N (+.f64 (neg.f64 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (+.f64 N (neg.f64 (log.f64 N))) (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) (neg.f64 (log.f64 N)))
(+.f64 N (+.f64 (neg.f64 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (+.f64 N (neg.f64 (log.f64 N))) (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(+.f64 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N))) 0)
(+.f64 N (+.f64 (neg.f64 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (+.f64 N (neg.f64 (log.f64 N))) (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(+.f64 0 (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N))))
(+.f64 N (+.f64 (neg.f64 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (+.f64 N (neg.f64 (log.f64 N))) (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(+.f64 -1 (-.f64 1 (-.f64 (log.f64 N) (+.f64 N (*.f64 -1/2 (pow.f64 N 2))))))
(+.f64 N (+.f64 (neg.f64 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (+.f64 N (neg.f64 (log.f64 N))) (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(+.f64 (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 N)) N)
(+.f64 N (+.f64 (neg.f64 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (+.f64 N (neg.f64 (log.f64 N))) (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (+.f64 N (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (neg.f64 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (+.f64 N (neg.f64 (log.f64 N))) (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(+.f64 (-.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) (log.f64 N)) (-.f64 (*.f64 (pow.f64 N 2) 1/2) N))
(+.f64 (-.f64 (+.f64 N N) (+.f64 (log.f64 N) (pow.f64 N 2))) (-.f64 (*.f64 (pow.f64 N 2) 1/2) N))
(+.f64 (+.f64 (-.f64 N (log.f64 N)) (-.f64 N (pow.f64 N 2))) (-.f64 (*.f64 (pow.f64 N 2) 1/2) N))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (+.f64 (neg.f64 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (+.f64 N (neg.f64 (log.f64 N))) (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(+.f64 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N) (-.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) (log.f64 N)))
(+.f64 (-.f64 (+.f64 N N) (+.f64 (log.f64 N) (pow.f64 N 2))) (-.f64 (*.f64 (pow.f64 N 2) 1/2) N))
(+.f64 (+.f64 (-.f64 N (log.f64 N)) (-.f64 N (pow.f64 N 2))) (-.f64 (*.f64 (pow.f64 N 2) 1/2) N))
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(.f64 1/4 (+.f64 (.f64 (pow.f64 N 2) -2) (*.f64 N 4)))
(.f64 1/4 (-.f64 (.f64 N 4) (*.f64 (pow.f64 N 2) 2)))
(.f64 (.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) 4) 1/8)
(*.f64 2 (-.f64 (/.f64 N 2) (/.f64 (pow.f64 N 2) 4)))
(*.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) 1/2)
(/.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) 1)
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(-.f64 N (*.f64 (pow.f64 N 2) 1/2))
(/.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) 2)
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(-.f64 N (*.f64 (pow.f64 N 2) 1/2))
(/.f64 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N) -1)
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(-.f64 N (*.f64 (pow.f64 N 2) 1/2))
(/.f64 (+.f64 (.f64 (pow.f64 N 2) -2) (.f64 N 4)) 4)
(-.f64 (/.f64 (.f64 N 8) 8) (.f64 (pow.f64 N 2) 1/2))
(/.f64 (*.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) 4) 8)
(/.f64 (*.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) 8) 16)
(/.f64 (+.f64 (log.f64 N) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))) 1)
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(-.f64 N (*.f64 (pow.f64 N 2) 1/2))
(/.f64 (-.f64 (.f64 N 4) (neg.f64 (.f64 (pow.f64 N 2) -2))) 4)
(/.f64 (+.f64 (.f64 (pow.f64 N 2) -2) (.f64 N 4)) 4)
(-.f64 (/.f64 (.f64 N 8) 8) (.f64 (pow.f64 N 2) 1/2))
(/.f64 (-.f64 (.f64 (pow.f64 N 2) -2) (neg.f64 (.f64 N 4))) 4)
(/.f64 (+.f64 (.f64 (pow.f64 N 2) -2) (.f64 N 4)) 4)
(-.f64 (/.f64 (.f64 N 8) 8) (.f64 (pow.f64 N 2) 1/2))
(/.f64 (+.f64 (.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) 4) (.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) 4)) 16)
(/.f64 (*.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) 4) 8)
(/.f64 (*.f64 (-.f64 (+.f64 N N) (pow.f64 N 2)) 8) 16)
(pow.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) 1)
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(-.f64 N (*.f64 (pow.f64 N 2) 1/2))
(neg.f64 (-.f64 (*.f64 (pow.f64 N 2) 1/2) N))
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(-.f64 N (*.f64 (pow.f64 N 2) 1/2))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) 0)
(*.f64 -1/2 (pow.f64 N 2))
(+.f64 0 (*.f64 -1/2 (pow.f64 N 2)))
(*.f64 -1/2 (pow.f64 N 2))
(+.f64 (/.f64 (pow.f64 N 2) -4) (/.f64 (pow.f64 N 2) -4))
(*.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 -1/2 (pow.f64 N 2)) 0)
(*.f64 -1/2 (pow.f64 N 2))
(-.f64 0 (*.f64 (pow.f64 N 2) 1/2))
(*.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 (pow.f64 N 2) -4) (/.f64 (pow.f64 N 2) 4))
(*.f64 -1/2 (pow.f64 N 2))
(/.f64 (pow.f64 N 2) -2)
(*.f64 -1/2 (pow.f64 N 2))
(/.f64 (*.f64 -1/2 (pow.f64 N 2)) 1)
(*.f64 -1/2 (pow.f64 N 2))
(/.f64 (*.f64 (pow.f64 N 2) 1/2) -1)
(*.f64 -1/2 (pow.f64 N 2))
(/.f64 (neg.f64 (pow.f64 N 2)) 2)
(*.f64 -1/2 (pow.f64 N 2))
(/.f64 (*.f64 (pow.f64 N 2) -2) 4)
(*.f64 -1/2 (pow.f64 N 2))
(/.f64 (*.f64 (neg.f64 (pow.f64 N 2)) 4) 8)
(*.f64 -1/2 (pow.f64 N 2))
(/.f64 (+.f64 (.f64 (neg.f64 (pow.f64 N 2)) 4) (.f64 (neg.f64 (pow.f64 N 2)) 4)) 16)
(*.f64 -1/2 (pow.f64 N 2))
(pow.f64 (*.f64 -1/2 (pow.f64 N 2)) 1)
(*.f64 -1/2 (pow.f64 N 2))
(neg.f64 (*.f64 (pow.f64 N 2) 1/2))
(*.f64 -1/2 (pow.f64 N 2))

localize56.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
	0.5b	(/.f64 1/2 (pow.f64 N 2))
✓	0.5b	(/.f64 1 (pow.f64 N 2))
✓	15.8b	(+.f64 (-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))) (/.f64 1/2 (pow.f64 N 2)))

Compiler

Compiled 45 to 35 computations (22.2% saved)

series2.0ms (0%)

Counts

3 → 15

Calls

9 calls:

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

rewrite335.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1194×	`rational_best-simplify-75`
1148×	`rational_best-simplify-76`
982×	`rational_best-simplify-56`
854×	`rational_best-4`
854×	`rational_best-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	81
1	81	81
2	159	81
3	468	63
4	2111	63

Stop Event

1×	node limit

Counts

3 → 201

Calls

Call 1

Inputs
(+.f64 (-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))) (/.f64 1/2 (pow.f64 N 2)))
(/.f64 1 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))

Outputs

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(2) ((x /.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/2 N)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 2 N) (/.f64 -2 (pow.f64 N 2))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 N) (+.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 2 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (-.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 2 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (/.f64 4 N)) (*.f64 (/.f64 2 (pow.f64 N 2)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 -2 (pow.f64 N 2)) (/.f64 -2 N)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 -2 (pow.f64 N 2)) (*.f64 (/.f64 -1 N) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (neg.f64 (/.f64 1/2 N))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (/.f64 4 N)) (+.f64 (/.f64 4 (pow.f64 N 2)) (/.f64 4 N))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 2 N)) (/.f64 4 (pow.f64 N 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (/.f64 4 (pow.f64 N 2)) (/.f64 4 N)) (*.f64 (/.f64 2 (pow.f64 N 2)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -1 N)))))))

simplify597.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1166×	`rational_best-simplify-53`
1048×	`rational_best-simplify-3`
1042×	`rational_best-simplify-66`
960×	`rational_best-simplify-65`
958×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	399	6140
1	1021	6054
2	3089	5524

Stop Event

1×	node limit

Counts

216 → 256

Calls

Call 1

Inputs
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1 (pow.f64 N 2))
(/.f64 1 N)
(/.f64 1 N)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (+.f64 (+.f64 (/.f64 -1 N) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 (pow.f64 N 2)) (-.f64 (/.f64 -1 N) (/.f64 -3/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2))) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -1 N)))
(-.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 0)
(-.f64 0 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)))
(-.f64 0 (+.f64 (/.f64 1 (pow.f64 N 2)) (-.f64 (/.f64 -1 N) (/.f64 1/2 (pow.f64 N 2)))))
(-.f64 0 (+.f64 (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N)) (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 -1 (pow.f64 N 2)) (-.f64 (/.f64 -1 N) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1 N))
(-.f64 (/.f64 -1/2 (pow.f64 N 2)) (-.f64 (-.f64 (/.f64 -1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (/.f64 2 N) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 2 N) (/.f64 -2 (pow.f64 N 2))) (-.f64 (/.f64 1 N) (/.f64 3/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 1 (pow.f64 N 2)))
(-.f64 (/.f64 1/4 (pow.f64 N 2)) (-.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -1 N)) (/.f64 1/4 (pow.f64 N 2))))
(-.f64 (/.f64 1/4 (pow.f64 N 2)) (+.f64 (/.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -1 N))))
(-.f64 (/.f64 1/4 (pow.f64 N 2)) (+.f64 (/.f64 (/.f64 -1 (pow.f64 N 2)) 4) (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -1 N))))
(-.f64 (/.f64 1/2 N) (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/2 N)))
(-.f64 (/.f64 1/2 N) (neg.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N))))
(-.f64 (/.f64 1/2 N) (+.f64 (/.f64 -1/2 N) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1/2 N) (+.f64 (-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1/2 N)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (-.f64 (/.f64 1/2 N) (/.f64 1/4 (pow.f64 N 2))) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) 2))
(-.f64 (-.f64 (/.f64 1/2 N) (/.f64 1/4 (pow.f64 N 2))) (-.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/2 N)))
(-.f64 (-.f64 (/.f64 1/2 N) (/.f64 1/4 (pow.f64 N 2))) (-.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/2 N)) (/.f64 1/4 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N)) (neg.f64 (/.f64 1/2 N)))
(-.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N)) (/.f64 -1/2 N))
(-.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N)) (+.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/2 N)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))) (/.f64 3/2 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2))) (/.f64 1/4 (pow.f64 N 2))) (neg.f64 (/.f64 1/4 (pow.f64 N 2))))
(-.f64 (-.f64 (/.f64 1 N) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))) (-.f64 (/.f64 -1 N) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (-.f64 (/.f64 1 N) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N)))
(-.f64 (-.f64 (/.f64 2 N) (/.f64 -1/2 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))))
(-.f64 (neg.f64 (/.f64 1/4 (pow.f64 N 2))) (-.f64 (/.f64 -1 N) (neg.f64 (/.f64 1/4 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 -1 (pow.f64 N 2)) (/.f64 1/2 N)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N)))
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(-.f64 (+.f64 (/.f64 -1 (pow.f64 N 2)) (/.f64 1/2 N)) (-.f64 (/.f64 -1 (pow.f64 N 2)) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 2))) (/.f64 3/4 (pow.f64 N 2)))
(-.f64 (/.f64 3/4 (pow.f64 N 2)) (-.f64 (-.f64 (/.f64 -1 N) (/.f64 -3/2 (pow.f64 N 2))) (/.f64 1/4 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/2 N)) (-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1/2 N)))
(-.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/2 N)) (+.f64 (neg.f64 (/.f64 1/2 N)) (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 -3/4 (pow.f64 N 2)) (-.f64 (/.f64 -1 N) (/.f64 1/4 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 2 N) (/.f64 1/4 (pow.f64 N 2))) (-.f64 (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))) (/.f64 1/4 (pow.f64 N 2))))
(-.f64 (+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 1/4 (pow.f64 N 2))) (/.f64 1/4 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 2))) (-.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) (/.f64 1/4 (pow.f64 N 2))))
(-.f64 (-.f64 (/.f64 1/4 (pow.f64 N 2)) (neg.f64 (/.f64 1/2 N))) (-.f64 (-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1/2 N)) (/.f64 1/4 (pow.f64 N 2))))
(-.f64 (-.f64 (/.f64 1/4 (pow.f64 N 2)) (neg.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N)))) (-.f64 (neg.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N))) (/.f64 1/4 (pow.f64 N 2))))
(-.f64 (-.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N)) (neg.f64 (/.f64 1/4 (pow.f64 N 2)))) (-.f64 (neg.f64 (/.f64 1/4 (pow.f64 N 2))) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N))))
(-.f64 (-.f64 (neg.f64 (/.f64 1/4 (pow.f64 N 2))) (/.f64 -1 N)) (/.f64 1/4 (pow.f64 N 2)))
(-.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -1 N)) (/.f64 1/4 (pow.f64 N 2)))) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 2))))
(-.f64 (-.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N)) (-.f64 1 (/.f64 -1/2 (pow.f64 N 2)))) (-.f64 (-.f64 -1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N))))
(-.f64 (-.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N)) (-.f64 1 (/.f64 1 (pow.f64 N 2)))) (-.f64 (-.f64 -1 (/.f64 -1/2 (pow.f64 N 2))) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N))))
(-.f64 (-.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 -1 (pow.f64 N 2))) (-.f64 (+.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 -1 N)) (/.f64 1/4 (pow.f64 N 2))))
(*.f64 1 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(*.f64 2 (-.f64 (/.f64 1/2 N) (/.f64 1/4 (pow.f64 N 2))))
(.f64 2 (.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 1/2))
(.f64 2 (-.f64 (/.f64 1/2 N) (.f64 1/2 (/.f64 1/2 (pow.f64 N 2)))))
(*.f64 1/2 (+.f64 (/.f64 -1 (pow.f64 N 2)) (/.f64 2 N)))
(*.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 1)
(*.f64 -1 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)))
(.f64 4 (-.f64 (/.f64 1 (.f64 N 4)) (/.f64 1/2 (*.f64 (pow.f64 N 2) 4))))
(*.f64 (+.f64 (/.f64 -1 (pow.f64 N 2)) (/.f64 2 N)) 1/2)
(*.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) -1)
(.f64 (.f64 2 (+.f64 (/.f64 -1 (pow.f64 N 2)) (/.f64 2 N))) 1/4)
(.f64 1/4 (.f64 2 (+.f64 (/.f64 -1 (pow.f64 N 2)) (/.f64 2 N))))
(.f64 (.f64 (+.f64 (/.f64 -1 (pow.f64 N 2)) (/.f64 2 N)) 4) 1/8)
(/.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 1)
(/.f64 (+.f64 (/.f64 -1 (pow.f64 N 2)) (/.f64 2 N)) 2)
(/.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) -1)
(/.f64 (*.f64 2 (+.f64 (/.f64 -1 (pow.f64 N 2)) (/.f64 2 N))) 4)
(/.f64 (-.f64 (/.f64 1/2 N) (/.f64 1/4 (pow.f64 N 2))) 1/2)
(/.f64 (*.f64 (+.f64 (/.f64 -1 (pow.f64 N 2)) (/.f64 2 N)) 4) 8)
(/.f64 (-.f64 (/.f64 4 N) (/.f64 2 (pow.f64 N 2))) 4)
(/.f64 (-.f64 (-.f64 (/.f64 4 N) (/.f64 4 (pow.f64 N 2))) (/.f64 -2 (pow.f64 N 2))) 4)
(/.f64 (-.f64 (*.f64 2 (/.f64 4 N)) (/.f64 4 (pow.f64 N 2))) 8)
(/.f64 (-.f64 (/.f64 2 (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (-.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 2 N)))) 2)
(/.f64 (-.f64 (/.f64 2 (pow.f64 N 2)) (neg.f64 (-.f64 (/.f64 4 N) (/.f64 4 (pow.f64 N 2))))) 4)
(/.f64 (-.f64 (/.f64 2 (pow.f64 N 2)) (-.f64 (/.f64 4 (pow.f64 N 2)) (/.f64 4 N))) 4)
(/.f64 (-.f64 (/.f64 -1 (pow.f64 N 2)) (/.f64 -2 N)) 2)
(/.f64 (-.f64 (/.f64 -1 (pow.f64 N 2)) (*.f64 (/.f64 -1 N) 2)) 2)
(/.f64 (-.f64 (neg.f64 (/.f64 1/4 (pow.f64 N 2))) (/.f64 -1/2 N)) 1/2)
(/.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 2 N)) (/.f64 2 (pow.f64 N 2))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 4 N)) (/.f64 4 (pow.f64 N 2))) 4)
(pow.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 1)
(neg.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (-.f64 (/.f64 -1 N) (/.f64 1/2 (pow.f64 N 2)))))
(+.f64 (/.f64 1 (pow.f64 N 2)) 0)
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(+.f64 0 (/.f64 1 (pow.f64 N 2)))
(+.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 3/4 (pow.f64 N 2)))
(+.f64 (/.f64 3/4 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 2)))
(+.f64 (-.f64 (/.f64 1/4 (pow.f64 N 2)) (neg.f64 (/.f64 1/4 (pow.f64 N 2)))) (-.f64 (/.f64 1/4 (pow.f64 N 2)) (neg.f64 (/.f64 1/4 (pow.f64 N 2)))))
(+.f64 (-.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 -1 (pow.f64 N 2))) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 2))))
(+.f64 (-.f64 (/.f64 1/4 (pow.f64 N 2)) (-.f64 -1 (/.f64 1 (pow.f64 N 2)))) (-.f64 (/.f64 1/4 (pow.f64 N 2)) (-.f64 1 (/.f64 -1/2 (pow.f64 N 2)))))
(+.f64 (-.f64 (/.f64 1/4 (pow.f64 N 2)) (-.f64 -1 (/.f64 -1/2 (pow.f64 N 2)))) (-.f64 (/.f64 1/4 (pow.f64 N 2)) (-.f64 1 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 (pow.f64 N 2)) 0)
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(-.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 -3/4 (pow.f64 N 2)))
(-.f64 (/.f64 1/4 (pow.f64 N 2)) (+.f64 (/.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1/4 (pow.f64 N 2)) (+.f64 (/.f64 (/.f64 -1 (pow.f64 N 2)) 4) (/.f64 -1/2 (pow.f64 N 2))))
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(-.f64 (-.f64 (/.f64 1/4 (pow.f64 N 2)) (neg.f64 (/.f64 1/4 (pow.f64 N 2)))) (-.f64 (neg.f64 (/.f64 1/4 (pow.f64 N 2))) (/.f64 1/4 (pow.f64 N 2))))
(-.f64 (-.f64 (/.f64 1/4 (pow.f64 N 2)) (-.f64 1 (/.f64 -1/2 (pow.f64 N 2)))) (-.f64 (-.f64 -1 (/.f64 1 (pow.f64 N 2))) (/.f64 1/4 (pow.f64 N 2))))
(-.f64 (-.f64 (/.f64 1/4 (pow.f64 N 2)) (-.f64 1 (/.f64 1 (pow.f64 N 2)))) (-.f64 (-.f64 -1 (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1/4 (pow.f64 N 2))))
(*.f64 1 (/.f64 1 (pow.f64 N 2)))
(.f64 1 (/.f64 -2 (.f64 (pow.f64 N 2) -2)))
(*.f64 2 (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (/.f64 1 (pow.f64 N 2)) 1)
(*.f64 1/2 (/.f64 2 (pow.f64 N 2)))
(*.f64 (/.f64 1/2 (pow.f64 N 2)) 2)
(*.f64 (/.f64 -1 (pow.f64 N 2)) -1)
(*.f64 (/.f64 -1/2 (pow.f64 N 2)) -2)
(*.f64 -1 (/.f64 -1 (pow.f64 N 2)))
(*.f64 4 (/.f64 1/4 (pow.f64 N 2)))
(.f64 4 (.f64 1/2 (/.f64 1/2 (pow.f64 N 2))))
(.f64 4 (/.f64 -2 (neg.f64 (.f64 2 (*.f64 (pow.f64 N 2) 4)))))
(*.f64 (/.f64 2 (pow.f64 N 2)) 1/2)
(.f64 8 (/.f64 1/2 (.f64 (pow.f64 N 2) 4)))
(.f64 8 (.f64 (/.f64 1/4 (pow.f64 N 2)) 1/2))
(.f64 8 (/.f64 2 (.f64 (*.f64 (pow.f64 N 2) 4) 4)))
(*.f64 (/.f64 4 (pow.f64 N 2)) 1/4)
(*.f64 (/.f64 1/4 (pow.f64 N 2)) 4)
(*.f64 -2 (/.f64 -1/2 (pow.f64 N 2)))
(*.f64 -1/2 (/.f64 -2 (pow.f64 N 2)))
(.f64 -4 (/.f64 -2 (.f64 2 (*.f64 (pow.f64 N 2) 4))))
(*.f64 1/4 (/.f64 4 (pow.f64 N 2)))
(.f64 (.f64 1/2 (/.f64 1/2 (pow.f64 N 2))) 4)
(.f64 (/.f64 1/2 (.f64 (pow.f64 N 2) 4)) 8)
(.f64 (/.f64 1/4 (.f64 (pow.f64 N 2) 4)) 16)
(.f64 1/8 (.f64 (/.f64 2 (pow.f64 N 2)) 4))
(*.f64 (/.f64 -2 (pow.f64 N 2)) -1/2)
(*.f64 (neg.f64 (/.f64 1/4 (pow.f64 N 2))) -4)
(.f64 16 (/.f64 1/4 (.f64 (pow.f64 N 2) 4)))
(.f64 16 (/.f64 1 (.f64 (*.f64 (pow.f64 N 2) 4) 4)))
(.f64 (.f64 (/.f64 2 (pow.f64 N 2)) 4) 1/8)
(pow.f64 (/.f64 1 (pow.f64 N 2)) 1)
(neg.f64 (/.f64 -1 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))))
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(+.f64 (neg.f64 (/.f64 1/4 (pow.f64 N 2))) (-.f64 (neg.f64 (/.f64 1/4 (pow.f64 N 2))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N))))
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(*.f64 -1 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -1 N)))
(.f64 4 (-.f64 (/.f64 1 (.f64 N 4)) (/.f64 1/4 (pow.f64 N 2))))
(*.f64 (+.f64 (/.f64 2 N) (/.f64 -2 (pow.f64 N 2))) 1/2)
(*.f64 (-.f64 (/.f64 4 N) (/.f64 4 (pow.f64 N 2))) 1/4)
(*.f64 1/4 (-.f64 (/.f64 4 N) (/.f64 4 (pow.f64 N 2))))
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(/.f64 (+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2))) 1)
(/.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -1 N)) -1)
(/.f64 (+.f64 (/.f64 2 N) (/.f64 -2 (pow.f64 N 2))) 2)
(/.f64 (-.f64 (/.f64 4 N) (/.f64 4 (pow.f64 N 2))) 4)
(/.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N)) 1/2)
(/.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/2 N)) -1/2)
(/.f64 (*.f64 (+.f64 (/.f64 2 N) (/.f64 -2 (pow.f64 N 2))) 4) 8)
(/.f64 (-.f64 (/.f64 4 N) (+.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 2 N))) 2)
(/.f64 (-.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (-.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 2 N)))) 2)
(/.f64 (-.f64 (.f64 2 (/.f64 4 N)) (.f64 (/.f64 2 (pow.f64 N 2)) 4)) 8)
(/.f64 (-.f64 (/.f64 -2 (pow.f64 N 2)) (/.f64 -2 N)) 2)
(/.f64 (-.f64 (/.f64 -2 (pow.f64 N 2)) (*.f64 (/.f64 -1 N) 2)) 2)
(/.f64 (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (neg.f64 (/.f64 1/2 N))) 1/2)
(/.f64 (-.f64 (*.f64 2 (/.f64 4 N)) (+.f64 (/.f64 4 (pow.f64 N 2)) (/.f64 4 N))) 4)
(/.f64 (-.f64 (+.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 2 N)) (/.f64 4 (pow.f64 N 2))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 4 (pow.f64 N 2)) (/.f64 4 N)) (*.f64 (/.f64 2 (pow.f64 N 2)) 4)) 4)
(pow.f64 (+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2))) 1)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -1 N)))

Outputs
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
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(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
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(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
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(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
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(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
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(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
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(/.f64 1 N)
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(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
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(+.f64 (-.f64 (neg.f64 (/.f64 1/4 (pow.f64 N 2))) (/.f64 -1 N)) (-.f64 (neg.f64 (/.f64 1/4 (pow.f64 N 2))) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(+.f64 (-.f64 (neg.f64 (/.f64 1/4 (pow.f64 N 2))) (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -1 N))) (-.f64 (neg.f64 (/.f64 1/4 (pow.f64 N 2))) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(*.f64 1 (+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(*.f64 2 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N)))
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(.f64 2 (.f64 (+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2))) 1/2))
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(*.f64 (+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2))) 1)
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(*.f64 1/2 (+.f64 (/.f64 2 N) (/.f64 -2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(*.f64 1/2 (-.f64 (/.f64 4 N) (+.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 2 N))))
(*.f64 1/2 (-.f64 (/.f64 4 N) (+.f64 (/.f64 2 N) (/.f64 2 (pow.f64 N 2)))))
(*.f64 1/2 (+.f64 (/.f64 2 N) (neg.f64 (/.f64 2 (pow.f64 N 2)))))
(*.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -1 N)) -1)
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(*.f64 -1 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -1 N)))
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(.f64 4 (-.f64 (/.f64 1 (.f64 N 4)) (/.f64 1/4 (pow.f64 N 2))))
(*.f64 4 (-.f64 (/.f64 1/4 N) (/.f64 1/4 (pow.f64 N 2))))
(*.f64 (+.f64 (/.f64 2 N) (/.f64 -2 (pow.f64 N 2))) 1/2)
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(*.f64 (-.f64 (/.f64 4 N) (/.f64 4 (pow.f64 N 2))) 1/4)
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(*.f64 1/4 (-.f64 (/.f64 4 N) (/.f64 4 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(.f64 (.f64 (+.f64 (/.f64 2 N) (/.f64 -2 (pow.f64 N 2))) 4) 1/8)
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(/.f64 (+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2))) 1)
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(/.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -1 N)) -1)
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(/.f64 (+.f64 (/.f64 2 N) (/.f64 -2 (pow.f64 N 2))) 2)
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(/.f64 (-.f64 (/.f64 4 N) (/.f64 4 (pow.f64 N 2))) 4)
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(/.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N)) 1/2)
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(/.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/2 N)) -1/2)
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(/.f64 (*.f64 (+.f64 (/.f64 2 N) (/.f64 -2 (pow.f64 N 2))) 4) 8)
(/.f64 (*.f64 (+.f64 (/.f64 2 N) (/.f64 -2 (pow.f64 N 2))) 8) 16)
(/.f64 (-.f64 (/.f64 4 N) (+.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 2 N))) 2)
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(/.f64 (-.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (-.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 2 N)))) 2)
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(/.f64 (-.f64 (.f64 2 (/.f64 4 N)) (.f64 (/.f64 2 (pow.f64 N 2)) 4)) 8)
(/.f64 (-.f64 (.f64 2 (/.f64 4 N)) (.f64 4 (/.f64 2 (pow.f64 N 2)))) 8)
(/.f64 (-.f64 (.f64 2 (/.f64 4 N)) (.f64 2 (/.f64 4 (pow.f64 N 2)))) 8)
(/.f64 (*.f64 4 (-.f64 (/.f64 2 N) (/.f64 2 (pow.f64 N 2)))) 8)
(/.f64 (-.f64 (/.f64 -2 (pow.f64 N 2)) (/.f64 -2 N)) 2)
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(/.f64 (-.f64 (/.f64 -2 (pow.f64 N 2)) (*.f64 (/.f64 -1 N) 2)) 2)
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(/.f64 (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (neg.f64 (/.f64 1/2 N))) 1/2)
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(/.f64 (-.f64 (*.f64 2 (/.f64 4 N)) (+.f64 (/.f64 4 (pow.f64 N 2)) (/.f64 4 N))) 4)
(/.f64 (-.f64 (*.f64 2 (/.f64 4 N)) (+.f64 (/.f64 4 N) (/.f64 4 (pow.f64 N 2)))) 4)
(-.f64 (/.f64 (*.f64 2 (/.f64 4 N)) 4) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 -1 N) (-.f64 (/.f64 (*.f64 1 (/.f64 8 N)) 4) (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 (+.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 2 N)) (/.f64 4 (pow.f64 N 2))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 2 N) (/.f64 2 (pow.f64 N 2))) (/.f64 4 (pow.f64 N 2))) 2)
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))) (/.f64 2 (pow.f64 N 2)))
(/.f64 (-.f64 (+.f64 (/.f64 4 (pow.f64 N 2)) (/.f64 4 N)) (*.f64 (/.f64 2 (pow.f64 N 2)) 4)) 4)
(/.f64 (-.f64 (+.f64 (/.f64 4 N) (/.f64 4 (pow.f64 N 2))) (*.f64 4 (/.f64 2 (pow.f64 N 2)))) 4)
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))) (/.f64 (*.f64 2 (/.f64 4 (pow.f64 N 2))) 4))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))) (/.f64 (*.f64 (/.f64 16 (pow.f64 N 2)) 1/2) 4))
(pow.f64 (+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2))) 1)
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -1 N)))
(+.f64 (/.f64 1 N) (/.f64 -1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))

eval2.5s (3%)

Compiler: Compiled 18761 to 14388 computations (23.3% saved)

prune1.0s (1.3%)

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	1011	7	1018
Fresh	3	4	7
Picked	0	1	1
Done	1	8	9
Total	1015	20	1035

Error

0.1b

Counts

1035 → 20

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.8b	(/.f64 1 N)
✓	30.8b	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
▶	31.1b	(-.f64 (/.f64 1 N) (+.f64 -1 (+.f64 1 (/.f64 1/2 (pow.f64 N 2)))))
	30.8b	(-.f64 (/.f64 1/2 N) (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/2 N)))
	30.6b	(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) (/.f64 1/4 (pow.f64 N 4))))
▶	30.9b	(-.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) (.f64 (log.f64 (+.f64 N 1)) 2))
▶	61.0b	(-.f64 (-.f64 1 (/.f64 1/2 (pow.f64 N 2))) (+.f64 1 (/.f64 -1 N)))
✓	30.3b	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
	30.6b	(-.f64 (+.f64 (/.f64 1 N) (.f64 1 (/.f64 1/3 (pow.f64 N 3)))) (+.f64 (.f64 1 (/.f64 1/2 (pow.f64 N 2))) (*.f64 1 (/.f64 1/4 (pow.f64 N 4)))))
✓	33.6b	(-.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) (log.f64 N))
▶	30.5b	(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
✓	30.5b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	32.6b	(-.f64 N (log.f64 N))
	32.6b	(+.f64 (/.f64 N 4) (+.f64 (/.f64 N 4) (-.f64 (*.f64 N 1/2) (log.f64 N))))
✓	30.8b	(+.f64 (-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))) (/.f64 1/2 (pow.f64 N 2)))
✓	30.3b	(+.f64 (-.f64 (/.f64 1/2 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (/.f64 1/2 N) (/.f64 -1/3 (pow.f64 N 3))))
	32.6b	(+.f64 (+.f64 N N) (neg.f64 (+.f64 N (log.f64 N))))
▶	32.6b	(+.f64 N (log.f64 (/.f64 1 N)))
✓	33.6b	(neg.f64 (log.f64 N))
	61.0b	N

Compiler

Compiled 408 to 324 computations (20.6% saved)

localize80.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	1.9b	(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
	2.2b	(log.f64 (+.f64 N 1))

Compiler

Compiled 40 to 28 computations (30% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

-inf

(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))

0.0ms

(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))

0.0ms

inf

(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))

rewrite759.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1880×	`rational_best-1`
1192×	`rational_best-4`
1192×	`rational_best-2`
1192×	`rational_best-3`
1192×	`exponential-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	81	25
2	171	21
3	507	21
4	2872	21
5	7946	21

Stop Event

1×	node limit

Counts

1 → 94

Calls

Call 1

Inputs
(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (neg.f64 (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (-.f64 -1 (log.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 (+.f64 N 1)) (neg.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 N 1)) (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (neg.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 N) (-.f64 (*.f64 (log.f64 N) -2) (neg.f64 (log.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (neg.f64 (log.f64 N)) (-.f64 -1 (log.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (+.f64 N 1))) (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (neg.f64 (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (*.f64 (log.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (+.f64 (neg.f64 (log.f64 N)) (*.f64 (log.f64 (+.f64 N 1)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (neg.f64 (+.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (log.f64 N)) (*.f64 (log.f64 (+.f64 N 1)) 3)) (*.f64 (log.f64 (+.f64 N 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (+.f64 N 1)) -2) (+.f64 (neg.f64 (log.f64 N)) (*.f64 (log.f64 (+.f64 N 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (neg.f64 (log.f64 N)) (/.f64 (log.f64 (+.f64 N 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (*.f64 (log.f64 N) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (-.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (+.f64 N 1)) -1) (+.f64 (neg.f64 (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (+.f64 N 1)) -1) (-.f64 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (log.f64 (+.f64 N 1))) (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 N) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (log.f64 (+.f64 N 1))) (-.f64 (neg.f64 (log.f64 N)) (+.f64 -1 (*.f64 (log.f64 (+.f64 N 1)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 (log.f64 (+.f64 N 1)) -2)) (+.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 (+.f64 N 1))) (+.f64 -1 (neg.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 (+.f64 N 1))) (+.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (+.f64 -1 (*.f64 (log.f64 (+.f64 N 1)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 (+.f64 N 1))) (neg.f64 (+.f64 1 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 (+.f64 N 1))) (-.f64 -1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (log.f64 (+.f64 N 1))) (+.f64 -1 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (neg.f64 (log.f64 N))) (+.f64 1 (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (log.f64 N)) (/.f64 (log.f64 (+.f64 N 1)) 2)) (/.f64 (log.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N))) (-.f64 1 (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1)) (+.f64 1 (*.f64 (log.f64 (+.f64 N 1)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (log.f64 N)) (+.f64 -1 (*.f64 (log.f64 (+.f64 N 1)) -2))) (-.f64 -1 (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 N) -2) (neg.f64 (log.f64 (+.f64 N 1)))) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) 2) (/.f64 (log.f64 N) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (*.f64 (log.f64 N) -2)) 2) (/.f64 (log.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) 2) (/.f64 (log.f64 (+.f64 N 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (neg.f64 (log.f64 N)) (*.f64 (log.f64 (+.f64 N 1)) 3)) 2) (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 1 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egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 N) 4) (log.f64 (pow.f64 (+.f64 N 1) 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 (log.f64 N) 4) (log.f64 (pow.f64 (+.f64 N 1) 4))) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))))

simplify559.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1328×	`rational_best-simplify-67`
1118×	`rational_best-simplify-56`
872×	`rational_best-simplify-49`
584×	`rational_best-simplify-47`
584×	`rational_best-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	239	4270
1	547	4070
2	1271	3170
3	3417	3066

Stop Event

1×	node limit

Counts

106 → 165

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (.f64 2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (.f64 2 (log.f64 -1))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (.f64 2 (log.f64 -1)) (.f64 -2 (log.f64 (/.f64 -1 N)))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 2 (log.f64 -1)) (*.f64 -2 (log.f64 (/.f64 -1 N))))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 2 (log.f64 -1)) (.f64 -2 (log.f64 (/.f64 -1 N))))))
(+.f64 1 (+.f64 (neg.f64 (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1)))
(+.f64 1 (+.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (-.f64 -1 (log.f64 (+.f64 N 1)))))
(+.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 (+.f64 N 1)) (neg.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))
(+.f64 (log.f64 (+.f64 N 1)) (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(+.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (neg.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(+.f64 (log.f64 N) (-.f64 (*.f64 (log.f64 N) -2) (neg.f64 (log.f64 (+.f64 N 1)))))
(+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)
(+.f64 0 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(+.f64 -1 (-.f64 (neg.f64 (log.f64 N)) (-.f64 -1 (log.f64 (+.f64 N 1)))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(+.f64 (neg.f64 (log.f64 (+.f64 N 1))) (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)))
(+.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (neg.f64 (log.f64 (+.f64 N 1))))
(+.f64 (neg.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (*.f64 (log.f64 (+.f64 N 1)) 2))
(+.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (+.f64 (neg.f64 (log.f64 N)) (.f64 (log.f64 (+.f64 N 1)) -2)))
(+.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (neg.f64 (+.f64 (.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N))))
(+.f64 (+.f64 (neg.f64 (log.f64 N)) (.f64 (log.f64 (+.f64 N 1)) 3)) (.f64 (log.f64 (+.f64 N 1)) -2))
(+.f64 (.f64 (log.f64 (+.f64 N 1)) -2) (+.f64 (neg.f64 (log.f64 N)) (.f64 (log.f64 (+.f64 N 1)) 3)))
(+.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))
(+.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (neg.f64 (log.f64 N)) (/.f64 (log.f64 (+.f64 N 1)) 2)))
(+.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (*.f64 (log.f64 N) -2)) 2))
(+.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (-.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)))
(+.f64 (+.f64 (log.f64 (+.f64 N 1)) -1) (+.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (+.f64 (log.f64 (+.f64 N 1)) -1) (-.f64 1 (log.f64 N)))
(+.f64 (-.f64 -1 (log.f64 (+.f64 N 1))) (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 N) -1)))
(+.f64 (-.f64 -1 (log.f64 (+.f64 N 1))) (-.f64 (neg.f64 (log.f64 N)) (+.f64 -1 (*.f64 (log.f64 (+.f64 N 1)) -2))))
(+.f64 (+.f64 1 (.f64 (log.f64 (+.f64 N 1)) -2)) (+.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1)))
(+.f64 (+.f64 1 (log.f64 (+.f64 N 1))) (+.f64 -1 (neg.f64 (log.f64 N))))
(+.f64 (+.f64 1 (log.f64 (+.f64 N 1))) (+.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (+.f64 -1 (.f64 (log.f64 (+.f64 N 1)) -2))))
(+.f64 (+.f64 1 (log.f64 (+.f64 N 1))) (neg.f64 (+.f64 1 (log.f64 N))))
(+.f64 (+.f64 1 (log.f64 (+.f64 N 1))) (-.f64 -1 (log.f64 N)))
(+.f64 (-.f64 1 (log.f64 (+.f64 N 1))) (+.f64 -1 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N))))
(+.f64 (+.f64 -1 (neg.f64 (log.f64 N))) (+.f64 1 (log.f64 (+.f64 N 1))))
(+.f64 (+.f64 (neg.f64 (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1)) 1)
(+.f64 (+.f64 (neg.f64 (log.f64 N)) (/.f64 (log.f64 (+.f64 N 1)) 2)) (/.f64 (log.f64 (+.f64 N 1)) 2))
(+.f64 (+.f64 -1 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N))) (-.f64 1 (log.f64 (+.f64 N 1))))
(+.f64 (+.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1)) (+.f64 1 (.f64 (log.f64 (+.f64 N 1)) -2)))
(+.f64 (+.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (-.f64 -1 (log.f64 (+.f64 N 1)))) 1)
(+.f64 (+.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (+.f64 -1 (.f64 (log.f64 (+.f64 N 1)) -2))) (+.f64 1 (log.f64 (+.f64 N 1))))
(+.f64 (+.f64 (log.f64 (+.f64 N 1)) (neg.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (log.f64 (+.f64 N 1)))
(+.f64 (+.f64 (neg.f64 (log.f64 N)) (.f64 (log.f64 (+.f64 N 1)) -2)) (.f64 (log.f64 (+.f64 N 1)) 3))
(+.f64 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (log.f64 (+.f64 N 1)))
(+.f64 (+.f64 (neg.f64 (log.f64 N)) 1) (+.f64 (log.f64 (+.f64 N 1)) -1))
(+.f64 (/.f64 (log.f64 N) -2) (-.f64 (log.f64 (+.f64 N 1)) (/.f64 (log.f64 N) 2)))
(+.f64 (/.f64 (log.f64 N) -2) (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) 2))
(+.f64 (/.f64 (log.f64 (+.f64 N 1)) -2) (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) 2))
(+.f64 (neg.f64 (+.f64 1 (*.f64 (log.f64 (+.f64 N 1)) -2))) (-.f64 (neg.f64 (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1)))
(+.f64 (neg.f64 (+.f64 (.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N))) (.f64 (log.f64 (+.f64 N 1)) 3))
(+.f64 (-.f64 (neg.f64 (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1)) (neg.f64 (+.f64 1 (*.f64 (log.f64 (+.f64 N 1)) -2))))
(+.f64 (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2)))
(+.f64 (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) (/.f64 (+.f64 (neg.f64 (log.f64 N)) (*.f64 (log.f64 (+.f64 N 1)) 3)) 2))
(+.f64 (neg.f64 (+.f64 1 (log.f64 N))) (+.f64 1 (log.f64 (+.f64 N 1))))
(+.f64 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 (+.f64 N 1)) -1)) (-.f64 (log.f64 (+.f64 N 1)) (+.f64 1 (log.f64 N))))
(+.f64 (-.f64 (log.f64 (+.f64 N 1)) (/.f64 (log.f64 N) 2)) (/.f64 (log.f64 N) -2))
(+.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2)) (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2))
(+.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 N) -1)) (-.f64 -1 (log.f64 (+.f64 N 1))))
(+.f64 (-.f64 (neg.f64 (log.f64 N)) (-.f64 -1 (log.f64 (+.f64 N 1)))) -1)
(+.f64 (-.f64 (neg.f64 (log.f64 N)) (+.f64 -1 (*.f64 (log.f64 (+.f64 N 1)) -2))) (-.f64 -1 (log.f64 (+.f64 N 1))))
(+.f64 (-.f64 (*.f64 (log.f64 N) -2) (neg.f64 (log.f64 (+.f64 N 1)))) (log.f64 N))
(+.f64 (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) 2) (/.f64 (log.f64 N) -2))
(+.f64 (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (*.f64 (log.f64 N) -2)) 2) (/.f64 (log.f64 (+.f64 N 1)) 2))
(+.f64 (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) 2) (/.f64 (log.f64 (+.f64 N 1)) -2))
(+.f64 (/.f64 (+.f64 (neg.f64 (log.f64 N)) (*.f64 (log.f64 (+.f64 N 1)) 3)) 2) (/.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2))
(+.f64 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 1 (log.f64 (+.f64 N 1)))) (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) -1)))
(+.f64 (-.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (/.f64 (log.f64 (+.f64 N 1)) 2))
(+.f64 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 1 (log.f64 N))) (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 (+.f64 N 1)) -1)))
(+.f64 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) -1)) (-.f64 (log.f64 (+.f64 N 1)) (+.f64 1 (log.f64 (+.f64 N 1)))))
(+.f64 (-.f64 -1 (log.f64 N)) (+.f64 1 (log.f64 (+.f64 N 1))))
(+.f64 (-.f64 1 (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1))
(*.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))
(*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(*.f64 -1 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(.f64 (.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 1/2)
(.f64 1/2 (.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(.f64 1/2 (-.f64 (+.f64 (log.f64 (pow.f64 (+.f64 N 1) 4)) (.f64 (log.f64 N) -2)) (*.f64 (log.f64 (+.f64 N 1)) 2)))
(.f64 1/2 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 8) (.f64 2 (+.f64 (log.f64 N) (.f64 (log.f64 (+.f64 N 1)) 3)))))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 1/4)
(.f64 1/4 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))
(.f64 (.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) 1/8)
(/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(/.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(/.f64 (*.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 2)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)
(/.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) 8)
(/.f64 (-.f64 (*.f64 (log.f64 N) 4) (log.f64 (pow.f64 (+.f64 N 1) 4))) -4)
(/.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4) -4)
(/.f64 (/.f64 (-.f64 (*.f64 (log.f64 N) 4) (log.f64 (pow.f64 (+.f64 N 1) 4))) -1) 4)
(/.f64 (/.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4) -1) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))) 16)
(pow.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(neg.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))

Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (neg.f64 (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) N))
(+.f64 N (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 N)))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3))) (+.f64 N (neg.f64 (log.f64 N))))
(+.f64 N (+.f64 (.f64 -1/2 (pow.f64 N 2)) (-.f64 (.f64 1/3 (pow.f64 N 3)) (log.f64 N))))
(+.f64 N (-.f64 (.f64 -1/2 (pow.f64 N 2)) (+.f64 (log.f64 N) (.f64 (pow.f64 N 3) -1/3))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1 (/.f64 1/2 (pow.f64 N 2))) (*.f64 1 (/.f64 1/4 (pow.f64 N 4)))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) (/.f64 1/4 (pow.f64 N 4))))
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(-.f64 (.f64 (log.f64 (/.f64 -1 N)) 2) (.f64 2 (-.f64 (log.f64 -1) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))))
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(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
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(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
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(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
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(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
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(+.f64 (log.f64 N) (+.f64 (log.f64 (+.f64 N 1)) (*.f64 (log.f64 N) -2)))
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(+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) 1)))
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(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 0 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
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(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
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(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
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(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
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(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
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(+.f64 (/.f64 (log.f64 N) -2) (+.f64 (/.f64 (log.f64 N) -2) (log.f64 (+.f64 N 1))))
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(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
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(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
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(+.f64 (log.f64 N) (+.f64 (log.f64 (+.f64 N 1)) (*.f64 (log.f64 N) -2)))
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(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
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(+.f64 (-.f64 (log.f64 (-.f64 N -1)) (log.f64 N)) (+.f64 (/.f64 (log.f64 (-.f64 N -1)) 2) (/.f64 (log.f64 (-.f64 N -1)) -2)))
(+.f64 (/.f64 (log.f64 (+.f64 N 1)) -2) (-.f64 (*.f64 -3 (/.f64 (log.f64 (+.f64 N 1)) -2)) (log.f64 N)))
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(+.f64 (/.f64 (+.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -2) (/.f64 (+.f64 (neg.f64 (log.f64 N)) (*.f64 3 (log.f64 (+.f64 N 1)))) 2))
(+.f64 (/.f64 (*.f64 3 (log.f64 (-.f64 N -1))) 2) (+.f64 (/.f64 (log.f64 (-.f64 N -1)) -2) (neg.f64 (log.f64 N))))
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(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 1 (log.f64 N))) (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 (+.f64 N 1)) -1)))
(+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) 1)))
(+.f64 (log.f64 (+.f64 N 1)) (+.f64 (neg.f64 (log.f64 N)) 0))
(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) -1)) (-.f64 (log.f64 (+.f64 N 1)) (+.f64 1 (log.f64 (+.f64 N 1)))))
(+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) 1)))
(+.f64 (log.f64 (+.f64 N 1)) (+.f64 (neg.f64 (log.f64 N)) 0))
(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (-.f64 -1 (log.f64 N)) (+.f64 1 (log.f64 (+.f64 N 1))))
(+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) 1)))
(+.f64 (log.f64 (+.f64 N 1)) (+.f64 (neg.f64 (log.f64 N)) 0))
(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (-.f64 1 (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1))
(+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) 1)))
(+.f64 (log.f64 (+.f64 N 1)) (+.f64 (neg.f64 (log.f64 N)) 0))
(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) 1)))
(+.f64 (log.f64 (+.f64 N 1)) (+.f64 (neg.f64 (log.f64 N)) 0))
(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))
(+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) 1)))
(+.f64 (log.f64 (+.f64 N 1)) (+.f64 (neg.f64 (log.f64 N)) 0))
(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) 1)))
(+.f64 (log.f64 (+.f64 N 1)) (+.f64 (neg.f64 (log.f64 N)) 0))
(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 -1 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) 1)))
(+.f64 (log.f64 (+.f64 N 1)) (+.f64 (neg.f64 (log.f64 N)) 0))
(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) 1)))
(+.f64 (log.f64 (+.f64 N 1)) (+.f64 (neg.f64 (log.f64 N)) 0))
(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 (.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 1/2)
(+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) 1)))
(+.f64 (log.f64 (+.f64 N 1)) (+.f64 (neg.f64 (log.f64 N)) 0))
(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 1/2 (.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) 1)))
(+.f64 (log.f64 (+.f64 N 1)) (+.f64 (neg.f64 (log.f64 N)) 0))
(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 1/2 (-.f64 (+.f64 (log.f64 (pow.f64 (+.f64 N 1) 4)) (.f64 (log.f64 N) -2)) (*.f64 (log.f64 (+.f64 N 1)) 2)))
(.f64 1/2 (-.f64 (+.f64 (.f64 (log.f64 N) -2) (log.f64 (pow.f64 (+.f64 N 1) 4))) (*.f64 2 (log.f64 (+.f64 N 1)))))
(.f64 1/2 (-.f64 (+.f64 (.f64 (log.f64 N) -2) (log.f64 (pow.f64 (-.f64 N -1) 4))) (*.f64 2 (log.f64 (-.f64 N -1)))))
(.f64 1/2 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 8) (.f64 2 (+.f64 (log.f64 N) (.f64 (log.f64 (+.f64 N 1)) 3)))))
(.f64 1/2 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 8) (.f64 2 (+.f64 (log.f64 N) (.f64 3 (log.f64 (+.f64 N 1)))))))
(.f64 1/2 (-.f64 (.f64 (log.f64 (-.f64 N -1)) 8) (.f64 2 (+.f64 (log.f64 N) (.f64 3 (log.f64 (-.f64 N -1)))))))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 1/4)
(+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) 1)))
(+.f64 (log.f64 (+.f64 N 1)) (+.f64 (neg.f64 (log.f64 N)) 0))
(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 1/4 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))
(+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) 1)))
(+.f64 (log.f64 (+.f64 N 1)) (+.f64 (neg.f64 (log.f64 N)) 0))
(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 (.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) 1/8)
(+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) 1)))
(+.f64 (log.f64 (+.f64 N 1)) (+.f64 (neg.f64 (log.f64 N)) 0))
(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) 1)))
(+.f64 (log.f64 (+.f64 N 1)) (+.f64 (neg.f64 (log.f64 N)) 0))
(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) 1)))
(+.f64 (log.f64 (+.f64 N 1)) (+.f64 (neg.f64 (log.f64 N)) 0))
(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (*.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 2)
(+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) 1)))
(+.f64 (log.f64 (+.f64 N 1)) (+.f64 (neg.f64 (log.f64 N)) 0))
(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)
(+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) 1)))
(+.f64 (log.f64 (+.f64 N 1)) (+.f64 (neg.f64 (log.f64 N)) 0))
(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) -2)
(+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) 1)))
(+.f64 (log.f64 (+.f64 N 1)) (+.f64 (neg.f64 (log.f64 N)) 0))
(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) 8)
(+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) 1)))
(+.f64 (log.f64 (+.f64 N 1)) (+.f64 (neg.f64 (log.f64 N)) 0))
(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (-.f64 (*.f64 (log.f64 N) 4) (log.f64 (pow.f64 (+.f64 N 1) 4))) -4)
(/.f64 (-.f64 (*.f64 (log.f64 N) 4) (log.f64 (pow.f64 (-.f64 N -1) 4))) -4)
(/.f64 (-.f64 (log.f64 (pow.f64 (+.f64 N 1) 4)) (*.f64 (log.f64 N) 4)) 4)
(/.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4) -4)
(+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) 1)))
(+.f64 (log.f64 (+.f64 N 1)) (+.f64 (neg.f64 (log.f64 N)) 0))
(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (/.f64 (-.f64 (*.f64 (log.f64 N) 4) (log.f64 (pow.f64 (+.f64 N 1) 4))) -1) 4)
(/.f64 (-.f64 (*.f64 (log.f64 N) 4) (log.f64 (pow.f64 (+.f64 N 1) 4))) -4)
(/.f64 (-.f64 (*.f64 (log.f64 N) 4) (log.f64 (pow.f64 (-.f64 N -1) 4))) -4)
(/.f64 (-.f64 (log.f64 (pow.f64 (+.f64 N 1) 4)) (*.f64 (log.f64 N) 4)) 4)
(/.f64 (/.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4) -1) 4)
(+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) 1)))
(+.f64 (log.f64 (+.f64 N 1)) (+.f64 (neg.f64 (log.f64 N)) 0))
(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))) 16)
(+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) 1)))
(+.f64 (log.f64 (+.f64 N 1)) (+.f64 (neg.f64 (log.f64 N)) 0))
(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(pow.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) 1)))
(+.f64 (log.f64 (+.f64 N 1)) (+.f64 (neg.f64 (log.f64 N)) 0))
(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(neg.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 N) 1)))
(+.f64 (log.f64 (+.f64 N 1)) (+.f64 (neg.f64 (log.f64 N)) 0))
(-.f64 (log.f64 (-.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

localize14.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 1 N))
✓	0.0b	(+.f64 N (log.f64 (/.f64 1 N)))

Compiler

Compiled 16 to 11 computations (31.3% saved)

series164.0ms (0.2%)

Counts

2 → 17

Calls

6 calls:

Time	Variable		Point	Expression
87.0ms	N	@	0	(log.f64 (/.f64 1 N))
60.0ms	N	@	-inf	(log.f64 (/.f64 1 N))
14.0ms	N	@	inf	(log.f64 (/.f64 1 N))
1.0ms	N	@	-inf	(+.f64 N (log.f64 (/.f64 1 N)))
1.0ms	N	@	0	(+.f64 N (log.f64 (/.f64 1 N)))

rewrite528.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1498×	`rational_best-simplify-85`
862×	`rational_best-simplify-62`
618×	`rational_best-simplify-83`
552×	`rational_best-simplify-47`
482×	`rational_best-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	54	28
2	107	28
3	270	28
4	953	28
5	5545	28

Stop Event

1×	node limit

Counts

2 → 149

Calls

Call 1

Inputs
(+.f64 N (log.f64 (/.f64 1 N)))
(log.f64 (/.f64 1 N))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 1 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 N) (+.f64 N (log.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) (/.f64 (log.f64 (/.f64 1 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 1 N)) 4) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) 4) (/.f64 (log.f64 (/.f64 1 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 1 N)) 4) (/.f64 (*.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 1 N)) 4) (/.f64 (*.f64 (log.f64 (/.f64 1 N)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 1 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 1 N)) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) -2) (/.f64 (log.f64 (/.f64 1 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (log.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (+.f64 (-.f64 N (log.f64 (/.f64 1 N))) (neg.f64 N)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 N) (-.f64 (neg.f64 N) (log.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 N) (+.f64 (+.f64 (-.f64 N (log.f64 (/.f64 1 N))) (-.f64 (/.f64 N -2) N)) (/.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 N) (+.f64 (/.f64 (-.f64 (neg.f64 N) (*.f64 (log.f64 (/.f64 1 N)) 2)) 2) (/.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) (/.f64 (log.f64 (/.f64 1 N)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 N -2) (-.f64 (/.f64 N -2) (log.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 N -2) (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 N))) (/.f64 N -4)) (/.f64 N -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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(/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log.f64 (/.f64 1 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (log.f64 (/.f64 1 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (/.f64 1 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 1 N)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (log.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 (/.f64 1 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 1 N)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (log.f64 (/.f64 1 N)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (*.f64 (log.f64 (/.f64 1 N)) 2)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 1 N)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 4 (*.f64 (log.f64 (/.f64 1 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (/.f64 1 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 1 N)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 1 N)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 1 N)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (log.f64 (/.f64 1 N)) 2)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 4 (*.f64 (log.f64 (/.f64 1 N)) 2)) (*.f64 4 (*.f64 (log.f64 (/.f64 1 N)) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 (/.f64 1 N) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (pow.f64 (/.f64 1 N) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log.f64 (/.f64 1 N))))))))

simplify29.9s (36.3%)

Algorithm

1×	egg-herbie

Rules

906×	`rational_best-simplify-83`
892×	`rational_best-simplify-3`
876×	`rational_best-simplify-56`
792×	`rational_best-simplify-64`
740×	`rational_best-simplify-66`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	335	3526
1	884	3066
2	2869	2932

Stop Event

1×	node limit

Counts

166 → 188

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
N
N
(+.f64 N (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(+.f64 N (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(+.f64 N (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(*.f64 -1 (log.f64 N))
(*.f64 -1 (log.f64 N))
(*.f64 -1 (log.f64 N))
(*.f64 -1 (log.f64 N))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))
(-.f64 N (neg.f64 (log.f64 (/.f64 1 N))))
(-.f64 N (+.f64 (-.f64 N (log.f64 (/.f64 1 N))) (neg.f64 N)))
(-.f64 N (+.f64 (-.f64 (/.f64 N -2) (log.f64 (/.f64 1 N))) (/.f64 N 2)))
(-.f64 (log.f64 (/.f64 1 N)) (neg.f64 N))
(-.f64 (log.f64 (/.f64 1 N)) (+.f64 (-.f64 (log.f64 (/.f64 1 N)) N) (neg.f64 (log.f64 (/.f64 1 N)))))
(-.f64 (log.f64 (/.f64 1 N)) (+.f64 (-.f64 (/.f64 (log.f64 (/.f64 1 N)) -2) N) (/.f64 (log.f64 (/.f64 1 N)) 2)))
(-.f64 (+.f64 N (log.f64 (/.f64 1 N))) 0)
(-.f64 (+.f64 N (log.f64 (/.f64 1 N))) (+.f64 (/.f64 (+.f64 N (log.f64 (/.f64 1 N))) -2) (/.f64 (+.f64 N (log.f64 (/.f64 1 N))) 2)))
(-.f64 0 (-.f64 (neg.f64 N) (log.f64 (/.f64 1 N))))
(-.f64 0 (+.f64 (-.f64 N (log.f64 (/.f64 1 N))) (*.f64 N -2)))
(-.f64 0 (+.f64 (-.f64 (log.f64 (/.f64 1 N)) N) (*.f64 (log.f64 (/.f64 1 N)) -2)))
(-.f64 (+.f64 N N) (-.f64 N (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 N N) (+.f64 (-.f64 N (log.f64 (/.f64 1 N))) 0))
(-.f64 (*.f64 (+.f64 N (log.f64 (/.f64 1 N))) 2) (+.f64 N (log.f64 (/.f64 1 N))))
(-.f64 (*.f64 (log.f64 (/.f64 1 N)) 2) (-.f64 (log.f64 (/.f64 1 N)) N))
(-.f64 (*.f64 (log.f64 (/.f64 1 N)) 2) (+.f64 (-.f64 (log.f64 (/.f64 1 N)) N) 0))
(-.f64 (+.f64 N (+.f64 N (log.f64 (/.f64 1 N)))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) -2) (+.f64 N (/.f64 (log.f64 (/.f64 1 N)) 2))))
(-.f64 (+.f64 N (*.f64 (log.f64 (/.f64 1 N)) 2)) (+.f64 (/.f64 N -2) (+.f64 (log.f64 (/.f64 1 N)) (/.f64 N 2))))
(-.f64 (/.f64 (+.f64 N (log.f64 (/.f64 1 N))) 2) (/.f64 (+.f64 N (log.f64 (/.f64 1 N))) -2))
(-.f64 (/.f64 N 2) (-.f64 (/.f64 N -2) (log.f64 (/.f64 1 N))))
(-.f64 (/.f64 N 2) (+.f64 (-.f64 N (log.f64 (/.f64 1 N))) (-.f64 (/.f64 N -2) N)))
(-.f64 (/.f64 N 2) (/.f64 (-.f64 (neg.f64 N) (*.f64 (log.f64 (/.f64 1 N)) 2)) 2))
(-.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) (-.f64 (/.f64 (log.f64 (/.f64 1 N)) -2) N))
(-.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) -2) (neg.f64 N)))
(-.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) (/.f64 (-.f64 (neg.f64 N) (+.f64 N (log.f64 (/.f64 1 N)))) 2))
(-.f64 (+.f64 N (/.f64 N 2)) (+.f64 (-.f64 N (log.f64 (/.f64 1 N))) (/.f64 N -2)))
(-.f64 (+.f64 N (/.f64 (log.f64 (/.f64 1 N)) 2)) (/.f64 (log.f64 (/.f64 1 N)) -2))
(-.f64 (+.f64 (log.f64 (/.f64 1 N)) (/.f64 N 2)) (/.f64 N -2))
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(-.f64 (+.f64 (.f64 (log.f64 (/.f64 1 N)) 2) (.f64 N 4)) (+.f64 N (+.f64 N (+.f64 N (log.f64 (/.f64 1 N))))))
(-.f64 (+.f64 (.f64 (log.f64 (/.f64 1 N)) 2) (.f64 N 4)) (+.f64 (/.f64 (*.f64 N -4) -4) (+.f64 N (+.f64 N (log.f64 (/.f64 1 N))))))
(-.f64 (+.f64 (+.f64 N N) (.f64 (log.f64 (/.f64 1 N)) 4)) (+.f64 (log.f64 (/.f64 1 N)) (+.f64 N (.f64 (log.f64 (/.f64 1 N)) 2))))
(-.f64 (*.f64 -3 (/.f64 N -4)) (+.f64 (neg.f64 (log.f64 (/.f64 1 N))) (/.f64 N -4)))
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(-.f64 (+.f64 (/.f64 (+.f64 N (log.f64 (/.f64 1 N))) 4) (/.f64 (+.f64 N (log.f64 (/.f64 1 N))) 2)) (neg.f64 (/.f64 (+.f64 N (log.f64 (/.f64 1 N))) 4)))
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(-.f64 (-.f64 (*.f64 -3 (/.f64 N -4)) (neg.f64 (log.f64 (/.f64 1 N)))) (/.f64 N -4))
(-.f64 (-.f64 N (-.f64 N (log.f64 (/.f64 1 N)))) (neg.f64 N))
(-.f64 (neg.f64 (-.f64 N (log.f64 (/.f64 1 N)))) (*.f64 N -2))
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(-.f64 (-.f64 (log.f64 (/.f64 1 N)) (-.f64 (log.f64 (/.f64 1 N)) N)) (neg.f64 (log.f64 (/.f64 1 N))))
(-.f64 (neg.f64 (-.f64 (log.f64 (/.f64 1 N)) N)) (*.f64 (log.f64 (/.f64 1 N)) -2))
(-.f64 (-.f64 (*.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) 3) (-.f64 (log.f64 (/.f64 1 N)) N)) (/.f64 (log.f64 (/.f64 1 N)) -2))
(-.f64 (-.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) (/.f64 (+.f64 N (log.f64 (/.f64 1 N))) -2)) (/.f64 N -2))
(-.f64 (-.f64 (/.f64 N 4) (-.f64 (/.f64 N -2) (log.f64 (/.f64 1 N)))) (/.f64 N -4))
(-.f64 (*.f64 3 (/.f64 N 4)) (-.f64 (neg.f64 (log.f64 (/.f64 1 N))) (/.f64 N 4)))
(-.f64 (/.f64 (+.f64 (log.f64 (/.f64 1 N)) (/.f64 (+.f64 N (log.f64 (/.f64 1 N))) 2)) 2) (/.f64 (-.f64 (/.f64 (+.f64 N (log.f64 (/.f64 1 N))) -2) N) 2))
(-.f64 (/.f64 (*.f64 -3 (/.f64 (+.f64 N (log.f64 (/.f64 1 N))) -2)) 2) (/.f64 (/.f64 (+.f64 N (log.f64 (/.f64 1 N))) -2) 2))
(-.f64 (/.f64 (*.f64 (+.f64 N (log.f64 (/.f64 1 N))) 3) 4) (/.f64 (-.f64 (neg.f64 N) (log.f64 (/.f64 1 N))) 4))
(-.f64 (/.f64 (+.f64 N (/.f64 (+.f64 N (log.f64 (/.f64 1 N))) 2)) 2) (/.f64 (+.f64 (*.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) -3) (/.f64 N -2)) 2))
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) (*.f64 -3 (/.f64 N -4))) (-.f64 (/.f64 N -4) (/.f64 (log.f64 (/.f64 1 N)) 2)))
(-.f64 (+.f64 (/.f64 (+.f64 N (log.f64 (/.f64 1 N))) 4) (/.f64 N 2)) (-.f64 (/.f64 (log.f64 (/.f64 1 N)) -2) (/.f64 (+.f64 N (log.f64 (/.f64 1 N))) 4)))
(-.f64 (+.f64 (/.f64 (+.f64 N (log.f64 (/.f64 1 N))) 4) (/.f64 (log.f64 (/.f64 1 N)) 2)) (-.f64 (/.f64 N -2) (/.f64 (+.f64 N (log.f64 (/.f64 1 N))) 4)))
(-.f64 (+.f64 (+.f64 N (+.f64 (log.f64 (/.f64 1 N)) (/.f64 N 2))) (+.f64 N (+.f64 (log.f64 (/.f64 1 N)) (/.f64 N 2)))) (+.f64 N (+.f64 N (log.f64 (/.f64 1 N)))))
(-.f64 (+.f64 (-.f64 (+.f64 (log.f64 (/.f64 1 N)) (/.f64 N 2)) (neg.f64 N)) (-.f64 (+.f64 (log.f64 (/.f64 1 N)) (/.f64 N 2)) (neg.f64 N))) (+.f64 (/.f64 N 2) (-.f64 (+.f64 (log.f64 (/.f64 1 N)) (/.f64 N 2)) (neg.f64 N))))
(-.f64 (+.f64 (-.f64 (/.f64 N 2) (-.f64 (neg.f64 N) (log.f64 (/.f64 1 N)))) (-.f64 (/.f64 N 2) (-.f64 (neg.f64 N) (log.f64 (/.f64 1 N))))) (+.f64 N (+.f64 N (log.f64 (/.f64 1 N)))))
(-.f64 (+.f64 (-.f64 (.f64 -3 (/.f64 N -4)) (-.f64 (neg.f64 N) (log.f64 (/.f64 1 N)))) (-.f64 (.f64 -3 (/.f64 N -4)) (-.f64 (neg.f64 N) (log.f64 (/.f64 1 N))))) (+.f64 (.f64 -3 (/.f64 N -4)) (-.f64 (.f64 -3 (/.f64 N -4)) (-.f64 (neg.f64 N) (log.f64 (/.f64 1 N))))))
(-.f64 (+.f64 (-.f64 (.f64 -3 (/.f64 N -4)) (-.f64 (neg.f64 N) (log.f64 (/.f64 1 N)))) (-.f64 (.f64 -3 (/.f64 N -4)) (-.f64 (neg.f64 N) (log.f64 (/.f64 1 N))))) (+.f64 (.f64 3 (/.f64 N 4)) (-.f64 (.f64 -3 (/.f64 N -4)) (-.f64 (neg.f64 N) (log.f64 (/.f64 1 N))))))
(-.f64 (+.f64 (-.f64 (.f64 -3 (/.f64 N -4)) (-.f64 (neg.f64 N) (log.f64 (/.f64 1 N)))) (-.f64 (.f64 -3 (/.f64 N -4)) (-.f64 (neg.f64 N) (log.f64 (/.f64 1 N))))) (+.f64 (/.f64 (-.f64 (/.f64 N -2) N) -2) (-.f64 (*.f64 -3 (/.f64 N -4)) (-.f64 (neg.f64 N) (log.f64 (/.f64 1 N))))))
(-.f64 (+.f64 (-.f64 (.f64 -3 (/.f64 N -4)) (-.f64 (neg.f64 N) (log.f64 (/.f64 1 N)))) (-.f64 (.f64 -3 (/.f64 N -4)) (-.f64 (neg.f64 N) (log.f64 (/.f64 1 N))))) (+.f64 (/.f64 (.f64 N -3) -4) (-.f64 (.f64 -3 (/.f64 N -4)) (-.f64 (neg.f64 N) (log.f64 (/.f64 1 N))))))
(-.f64 (+.f64 (+.f64 N (.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) 3)) (+.f64 N (.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) 3))) (+.f64 N (*.f64 (log.f64 (/.f64 1 N)) 2)))
(-.f64 (+.f64 (+.f64 N (.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) 3)) (+.f64 N (.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) 3))) (+.f64 (/.f64 (neg.f64 (log.f64 (/.f64 1 N))) -2) (+.f64 N (*.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) 3))))
(-.f64 (+.f64 (+.f64 N (.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) 3)) (+.f64 N (.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) 3))) (+.f64 (/.f64 (.f64 (log.f64 (/.f64 1 N)) -2) -4) (+.f64 N (.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) 3))))
(-.f64 (+.f64 (-.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) (-.f64 (neg.f64 N) (log.f64 (/.f64 1 N)))) (-.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) (-.f64 (neg.f64 N) (log.f64 (/.f64 1 N))))) (+.f64 N (*.f64 (log.f64 (/.f64 1 N)) 2)))
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(-.f64 (+.f64 (-.f64 (+.f64 N (/.f64 (log.f64 (/.f64 1 N)) 2)) (neg.f64 (log.f64 (/.f64 1 N)))) (-.f64 (+.f64 N (/.f64 (log.f64 (/.f64 1 N)) 2)) (neg.f64 (log.f64 (/.f64 1 N))))) (+.f64 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) -2) -4) (-.f64 (+.f64 N (/.f64 (log.f64 (/.f64 1 N)) 2)) (neg.f64 (log.f64 (/.f64 1 N))))))
(*.f64 1 (+.f64 N (log.f64 (/.f64 1 N))))
(*.f64 1 (-.f64 N (log.f64 (pow.f64 (/.f64 1 N) -1))))
(*.f64 (+.f64 N (log.f64 (/.f64 1 N))) 1)
(*.f64 2 (/.f64 (+.f64 N (log.f64 (/.f64 1 N))) 2))
(.f64 2 (.f64 (+.f64 N (log.f64 (/.f64 1 N))) 1/2))
(.f64 (.f64 (+.f64 N (log.f64 (/.f64 1 N))) 2) 1/2)
(*.f64 -1 (-.f64 (neg.f64 N) (log.f64 (/.f64 1 N))))
(.f64 1/2 (.f64 (+.f64 N (log.f64 (/.f64 1 N))) 2))
(*.f64 (-.f64 (neg.f64 N) (log.f64 (/.f64 1 N))) -1)
(.f64 (.f64 (+.f64 N (log.f64 (/.f64 1 N))) 4) 1/4)
(*.f64 -2 (/.f64 (+.f64 N (log.f64 (/.f64 1 N))) -2))
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(/.f64 (*.f64 (+.f64 N (log.f64 (/.f64 1 N))) 2) 2)
(/.f64 (-.f64 (neg.f64 N) (log.f64 (/.f64 1 N))) -1)
(/.f64 (*.f64 (+.f64 N (log.f64 (/.f64 1 N))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 N (log.f64 (/.f64 1 N))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 N (log.f64 (/.f64 1 N))) 4)) (.f64 2 (.f64 (+.f64 N (log.f64 (/.f64 1 N))) 4))) 16)
(/.f64 (+.f64 (.f64 4 (.f64 (log.f64 (/.f64 1 N)) 2)) (*.f64 N 8)) 8)
(/.f64 (+.f64 (.f64 N 8) (.f64 4 (*.f64 (log.f64 (/.f64 1 N)) 2))) 8)
(pow.f64 (+.f64 N (log.f64 (/.f64 1 N))) 1)
(neg.f64 (-.f64 (neg.f64 N) (log.f64 (/.f64 1 N))))
(neg.f64 (+.f64 (-.f64 N (log.f64 (/.f64 1 N))) (*.f64 N -2)))
(neg.f64 (+.f64 (-.f64 (log.f64 (/.f64 1 N)) N) (*.f64 (log.f64 (/.f64 1 N)) -2)))
(+.f64 (log.f64 (/.f64 1 N)) 0)
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(+.f64 (/.f64 (log.f64 (/.f64 1 N)) 4) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) 4) (/.f64 (log.f64 (/.f64 1 N)) 2)))
(+.f64 (/.f64 (log.f64 (/.f64 1 N)) 4) (/.f64 (*.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) 3) 2))
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(-.f64 0 (+.f64 (+.f64 (-.f64 N (log.f64 (/.f64 1 N))) (neg.f64 N)) 0))
(-.f64 (neg.f64 N) (-.f64 (neg.f64 N) (log.f64 (/.f64 1 N))))
(-.f64 (neg.f64 N) (+.f64 (+.f64 (-.f64 N (log.f64 (/.f64 1 N))) (-.f64 (/.f64 N -2) N)) (/.f64 N -2)))
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(-.f64 (*.f64 N -2) (-.f64 (neg.f64 N) (+.f64 N (log.f64 (/.f64 1 N)))))
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(-.f64 (.f64 N -2) (+.f64 (+.f64 (-.f64 (log.f64 (/.f64 1 N)) N) (.f64 (log.f64 (/.f64 1 N)) -2)) (neg.f64 N)))
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 N)) 4) (/.f64 (log.f64 (/.f64 1 N)) 2)) (neg.f64 (/.f64 (log.f64 (/.f64 1 N)) 4)))
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(*.f64 (neg.f64 (log.f64 (/.f64 1 N))) -1)
(.f64 (.f64 (log.f64 (/.f64 1 N)) 2) 1/2)
(*.f64 -1 (neg.f64 (log.f64 (/.f64 1 N))))
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(.f64 (.f64 (log.f64 (/.f64 1 N)) 4) 1/4)
(*.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) 2)
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) -2))
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(.f64 (.f64 4 (*.f64 (log.f64 (/.f64 1 N)) 2)) 1/8)
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(/.f64 (log.f64 (/.f64 1 N)) 1)
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(/.f64 (*.f64 (log.f64 (/.f64 1 N)) -2) -2)
(/.f64 (.f64 4 (.f64 (log.f64 (/.f64 1 N)) 2)) 8)
(/.f64 (+.f64 (.f64 4 (.f64 (log.f64 (/.f64 1 N)) 2)) (.f64 4 (.f64 (log.f64 (/.f64 1 N)) 2))) 16)
(/.f64 (log.f64 (pow.f64 (/.f64 1 N) -1)) -1)
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Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
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N
N
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(neg.f64 (-.f64 (neg.f64 N) (log.f64 (/.f64 1 N))))
(-.f64 N (neg.f64 (log.f64 (/.f64 1 N))))
(+.f64 N (log.f64 (/.f64 1 N)))
(neg.f64 (+.f64 (-.f64 N (log.f64 (/.f64 1 N))) (*.f64 N -2)))
(-.f64 N (neg.f64 (log.f64 (/.f64 1 N))))
(+.f64 N (log.f64 (/.f64 1 N)))
(neg.f64 (+.f64 (-.f64 (log.f64 (/.f64 1 N)) N) (*.f64 (log.f64 (/.f64 1 N)) -2)))
(-.f64 N (neg.f64 (log.f64 (/.f64 1 N))))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 (log.f64 (/.f64 1 N)) 0)
(log.f64 (/.f64 1 N))
(+.f64 0 (log.f64 (/.f64 1 N)))
(log.f64 (/.f64 1 N))
(+.f64 (neg.f64 N) (+.f64 N (log.f64 (/.f64 1 N))))
(log.f64 (/.f64 1 N))
(+.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) (/.f64 (log.f64 (/.f64 1 N)) 2))
(log.f64 (/.f64 1 N))
(+.f64 (/.f64 (log.f64 (/.f64 1 N)) 4) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) 4) (/.f64 (log.f64 (/.f64 1 N)) 2)))
(log.f64 (/.f64 1 N))
(+.f64 (/.f64 (log.f64 (/.f64 1 N)) 4) (/.f64 (*.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) 3) 2))
(log.f64 (/.f64 1 N))
(+.f64 (/.f64 (log.f64 (/.f64 1 N)) 4) (/.f64 (*.f64 (log.f64 (/.f64 1 N)) 3) 4))
(log.f64 (/.f64 1 N))
(-.f64 (log.f64 (/.f64 1 N)) 0)
(log.f64 (/.f64 1 N))
(-.f64 (log.f64 (/.f64 1 N)) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) -2) (/.f64 (log.f64 (/.f64 1 N)) 2)))
(log.f64 (/.f64 1 N))
(-.f64 0 (neg.f64 (log.f64 (/.f64 1 N))))
(log.f64 (/.f64 1 N))
(-.f64 0 (+.f64 (+.f64 (-.f64 N (log.f64 (/.f64 1 N))) (neg.f64 N)) 0))
(log.f64 (/.f64 1 N))
(-.f64 (neg.f64 N) (-.f64 (neg.f64 N) (log.f64 (/.f64 1 N))))
(log.f64 (/.f64 1 N))
(-.f64 (neg.f64 N) (+.f64 (+.f64 (-.f64 N (log.f64 (/.f64 1 N))) (-.f64 (/.f64 N -2) N)) (/.f64 N -2)))
(log.f64 (/.f64 1 N))
(-.f64 (neg.f64 N) (+.f64 (/.f64 (-.f64 (neg.f64 N) (*.f64 (log.f64 (/.f64 1 N)) 2)) 2) (/.f64 N -2)))
(log.f64 (/.f64 1 N))
(-.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) (/.f64 (log.f64 (/.f64 1 N)) -2))
(log.f64 (/.f64 1 N))
(-.f64 (/.f64 N -2) (-.f64 (/.f64 N -2) (log.f64 (/.f64 1 N))))
(log.f64 (/.f64 1 N))
(-.f64 (/.f64 N -2) (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 N))) (/.f64 N -4)) (/.f64 N -4)))
(log.f64 (/.f64 1 N))
(-.f64 (/.f64 N -2) (+.f64 (+.f64 (/.f64 N -4) (neg.f64 (log.f64 (/.f64 1 N)))) (/.f64 N -4)))
(log.f64 (/.f64 1 N))
(-.f64 (*.f64 N -2) (-.f64 (neg.f64 N) (+.f64 N (log.f64 (/.f64 1 N)))))
(log.f64 (/.f64 1 N))
(-.f64 (.f64 N -2) (+.f64 (+.f64 (-.f64 N (log.f64 (/.f64 1 N))) (.f64 N -2)) (neg.f64 N)))
(log.f64 (/.f64 1 N))
(-.f64 (.f64 N -2) (+.f64 (+.f64 (-.f64 (log.f64 (/.f64 1 N)) N) (.f64 (log.f64 (/.f64 1 N)) -2)) (neg.f64 N)))
(log.f64 (/.f64 1 N))
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 N)) 4) (/.f64 (log.f64 (/.f64 1 N)) 2)) (neg.f64 (/.f64 (log.f64 (/.f64 1 N)) 4)))
(log.f64 (/.f64 1 N))
(-.f64 (/.f64 (*.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) 3) 2) (/.f64 (/.f64 (log.f64 (/.f64 1 N)) -2) 2))
(log.f64 (/.f64 1 N))
(-.f64 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) 3) 4) (/.f64 (neg.f64 (log.f64 (/.f64 1 N))) 4))
(log.f64 (/.f64 1 N))
(*.f64 1 (log.f64 (/.f64 1 N)))
(log.f64 (/.f64 1 N))
(*.f64 (log.f64 (/.f64 1 N)) 1)
(log.f64 (/.f64 1 N))
(*.f64 2 (/.f64 (log.f64 (/.f64 1 N)) 2))
(log.f64 (/.f64 1 N))
(.f64 2 (.f64 (log.f64 (/.f64 1 N)) 1/2))
(log.f64 (/.f64 1 N))
(*.f64 (neg.f64 (log.f64 (/.f64 1 N))) -1)
(log.f64 (/.f64 1 N))
(.f64 (.f64 (log.f64 (/.f64 1 N)) 2) 1/2)
(log.f64 (/.f64 1 N))
(*.f64 -1 (neg.f64 (log.f64 (/.f64 1 N))))
(log.f64 (/.f64 1 N))
(.f64 1/2 (.f64 (log.f64 (/.f64 1 N)) 2))
(log.f64 (/.f64 1 N))
(.f64 (.f64 (log.f64 (/.f64 1 N)) 4) 1/4)
(log.f64 (/.f64 1 N))
(*.f64 (/.f64 (log.f64 (/.f64 1 N)) 2) 2)
(log.f64 (/.f64 1 N))
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) -2))
(log.f64 (/.f64 1 N))
(.f64 1/4 (.f64 (log.f64 (/.f64 1 N)) 4))
(log.f64 (/.f64 1 N))
(.f64 (.f64 4 (*.f64 (log.f64 (/.f64 1 N)) 2)) 1/8)
(log.f64 (/.f64 1 N))
(.f64 (.f64 (log.f64 (/.f64 1 N)) 1/2) 2)
(log.f64 (/.f64 1 N))
(.f64 1/8 (.f64 4 (*.f64 (log.f64 (/.f64 1 N)) 2)))
(log.f64 (/.f64 1 N))
(/.f64 (log.f64 (/.f64 1 N)) 1)
(log.f64 (/.f64 1 N))
(/.f64 (neg.f64 (log.f64 (/.f64 1 N))) -1)
(log.f64 (/.f64 1 N))
(/.f64 (*.f64 (log.f64 (/.f64 1 N)) 2) 2)
(log.f64 (/.f64 1 N))
(/.f64 (*.f64 (log.f64 (/.f64 1 N)) 4) 4)
(log.f64 (/.f64 1 N))
(/.f64 (*.f64 (log.f64 (/.f64 1 N)) -2) -2)
(log.f64 (/.f64 1 N))
(/.f64 (.f64 4 (.f64 (log.f64 (/.f64 1 N)) 2)) 8)
(log.f64 (/.f64 1 N))
(/.f64 (+.f64 (.f64 4 (.f64 (log.f64 (/.f64 1 N)) 2)) (.f64 4 (.f64 (log.f64 (/.f64 1 N)) 2))) 16)
(log.f64 (/.f64 1 N))
(/.f64 (log.f64 (pow.f64 (/.f64 1 N) -1)) -1)
(neg.f64 (log.f64 (pow.f64 (/.f64 1 N) -1)))
(/.f64 (neg.f64 (log.f64 (pow.f64 (/.f64 1 N) -1))) 1)
(neg.f64 (log.f64 (pow.f64 (/.f64 1 N) -1)))
(pow.f64 (log.f64 (/.f64 1 N)) 1)
(log.f64 (/.f64 1 N))
(neg.f64 (neg.f64 (log.f64 (/.f64 1 N))))
(log.f64 (/.f64 1 N))

localize105.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 -1 N))
	0.5b	(/.f64 1/2 (pow.f64 N 2))
✓	2.0b	(-.f64 (-.f64 1 (/.f64 1/2 (pow.f64 N 2))) (+.f64 1 (/.f64 -1 N)))

Compiler

Compiled 42 to 34 computations (19% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite6.0s (7.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1816×	`rational_best-4`
1816×	`rational_best-2`
1816×	`rational_best-3`
1816×	`rational_best-1`
1816×	`exponential-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	100	42
2	266	38
3	829	38
4	4326	38

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

Inputs
(-.f64 (-.f64 1 (/.f64 1/2 (pow.f64 N 2))) (+.f64 1 (/.f64 -1 N)))
(+.f64 1 (/.f64 -1 N))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 N) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 N)) (/.f64 0 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 -1 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (/.f64 -1 N)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 -1 N) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (/.f64 -1/2 N)) (/.f64 (+.f64 -1 (/.f64 1 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 N N) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 -1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (/.f64 -2 N) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 -2 N) (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -1 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (-.f64 1 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 N) (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 N) (*.f64 1 (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 -1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) (*.f64 -1 (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 1 N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (-.f64 1 N) (+.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 N -1) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 N) (/.f64 (-.f64 1 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 (-.f64 1 N) (*.f64 N 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 -2 N) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 N) (*.f64 -2 (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 N 4)) (*.f64 -4 (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 N) (/.f64 (-.f64 1 N) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -8 (/.f64 (-.f64 1 N) (*.f64 2 (*.f64 N 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (/.f64 -2 N) -2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 N) (/.f64 -1 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 -1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (/.f64 1 N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 N -1) N)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 -2 N) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (/.f64 -2 N) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (/.f64 -1/2 N)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 2 N) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 N) (neg.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (/.f64 2 N) 2) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 N -1) (+.f64 N -1)) (+.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (-.f64 (/.f64 -2 N) -2)) (*.f64 2 (-.f64 (/.f64 -2 N) -2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 -1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (/.f64 1 N)))))))

simplify693.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1354×	`rational_best-simplify-1`
790×	`rational_best-simplify-3`
714×	`rational_best-simplify-65`
600×	`rational_best-simplify-108`
564×	`rational_best-simplify-55`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	266	3610
1	751	3550
2	1932	3100
3	6842	3100

Stop Event

1×	node limit

Counts

142 → 144

Calls

Call 1

Inputs
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1 N)
(-.f64 1 (/.f64 1 N))
(-.f64 1 (/.f64 1 N))
(-.f64 1 (/.f64 1 N))
1
(-.f64 1 (/.f64 1 N))
(-.f64 1 (/.f64 1 N))
(-.f64 1 (/.f64 1 N))
1
(-.f64 1 (/.f64 1 N))
(-.f64 1 (/.f64 1 N))
(-.f64 1 (/.f64 1 N))
(+.f64 1 (neg.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 -1 (/.f64 1 N)))))
(+.f64 1 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 -1 (/.f64 1 N))))
(+.f64 1 (+.f64 (/.f64 1 N) (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2)))))
(+.f64 1 (+.f64 (+.f64 -1 (/.f64 1 N)) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 2 (+.f64 (+.f64 -1 (/.f64 1 N)) (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2)))))
(+.f64 (+.f64 1 (/.f64 -1/2 (pow.f64 N 2))) (+.f64 -1 (/.f64 1 N)))
(+.f64 -1 (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1)))
(+.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N)) 0)
(+.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N)) (-.f64 (/.f64 1 N) (/.f64 1 N)))
(+.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N)) (-.f64 (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))) (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2)))))
(+.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N)) (-.f64 (+.f64 1 (/.f64 1 N)) (+.f64 1 (/.f64 1 N))))
(+.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N)) (-.f64 (+.f64 -1 (/.f64 1 N)) (+.f64 -1 (/.f64 1 N))))
(+.f64 0 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (neg.f64 (neg.f64 (/.f64 -1/2 (pow.f64 N 2)))))
(+.f64 (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))) (+.f64 1 (/.f64 1 N)))
(+.f64 (+.f64 1 (/.f64 1 N)) (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (+.f64 -1 (/.f64 1 N)) (+.f64 1 (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (+.f64 -1 (/.f64 1 N)) (neg.f64 (neg.f64 (+.f64 1 (/.f64 -1/2 (pow.f64 N 2))))))
(+.f64 (+.f64 -1 (/.f64 1 N)) (-.f64 1 (+.f64 1 (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1))))
(+.f64 (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1)) -1)
(+.f64 (+.f64 1 (+.f64 1 (/.f64 1 N))) (+.f64 -1 (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2)))))
(+.f64 (/.f64 1/2 N) (/.f64 (+.f64 (/.f64 1 N) (*.f64 (/.f64 -1/2 (pow.f64 N 2)) 2)) 2))
(+.f64 (neg.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 -1 (/.f64 1 N)))) 1)
(+.f64 (-.f64 1/2 (/.f64 1/4 (pow.f64 N 2))) (+.f64 (-.f64 1/2 (/.f64 1/4 (pow.f64 N 2))) (+.f64 -1 (/.f64 1 N))))
(+.f64 (-.f64 1/2 (/.f64 1/4 (pow.f64 N 2))) (/.f64 (+.f64 (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))) (/.f64 2 N)) 2))
(+.f64 (-.f64 1/2 (/.f64 1/4 (pow.f64 N 2))) (-.f64 (-.f64 1/2 (/.f64 1/4 (pow.f64 N 2))) (+.f64 1 (/.f64 -1 N))))
(+.f64 (-.f64 (/.f64 1/2 N) (/.f64 1/4 (pow.f64 N 2))) (-.f64 (/.f64 1/2 N) (/.f64 1/4 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (+.f64 -2 (/.f64 1 N)))
(+.f64 (+.f64 -2 (/.f64 1 N)) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) 2))
(+.f64 -1/2 (/.f64 (+.f64 -1 (+.f64 (-.f64 (*.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) -2) (/.f64 2 N))) 2))
(+.f64 (-.f64 (+.f64 -1 (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2))) 1)
(+.f64 (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 1 (/.f64 -1 N))) 1)
(+.f64 (-.f64 (+.f64 1 (/.f64 -1/2 (pow.f64 N 2))) (+.f64 1/2 (/.f64 -1/2 N))) (neg.f64 (+.f64 1/2 (/.f64 -1/2 N))))
(+.f64 (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/2 N)) (neg.f64 (/.f64 -1/2 N)))
(+.f64 (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 2))) (neg.f64 (/.f64 1/4 (pow.f64 N 2))))
(+.f64 (-.f64 (-.f64 (*.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) -2) (+.f64 1 (/.f64 -1 N))) (neg.f64 (+.f64 1 (/.f64 -1/2 (pow.f64 N 2)))))
(+.f64 (-.f64 (*.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 -1 N)) (neg.f64 (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (-.f64 (/.f64 2 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 -1 N))
(+.f64 (-.f64 (-.f64 (*.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) 2) (+.f64 -1 (/.f64 -1 N))) (neg.f64 (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2)))))
(+.f64 (-.f64 (+.f64 2 (/.f64 2 N)) (+.f64 1 (/.f64 1/2 (pow.f64 N 2)))) (neg.f64 (+.f64 1 (/.f64 1 N))))
(+.f64 (-.f64 (-.f64 (/.f64 2 N) 2) (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1)) (+.f64 1 (/.f64 -1 N)))
(+.f64 (/.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 2 N)) 2))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))) 2) (/.f64 (+.f64 (+.f64 1 (/.f64 -1/2 (pow.f64 N 2))) (/.f64 2 N)) 2))
(+.f64 (/.f64 (+.f64 -1 (/.f64 1 N)) 2) (/.f64 (+.f64 (+.f64 -1 (/.f64 1 N)) (-.f64 (*.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) -2)) 2))
(+.f64 (/.f64 (+.f64 1 (/.f64 1 N)) 2) (/.f64 (+.f64 (+.f64 -1 (/.f64 1 N)) (*.f64 (/.f64 -1/2 (pow.f64 N 2)) 2)) 2))
(+.f64 (-.f64 (-.f64 1/2 (/.f64 1/4 (pow.f64 N 2))) (/.f64 -1 N)) (-.f64 (-.f64 1/2 (/.f64 1/4 (pow.f64 N 2))) 1))
(+.f64 (-.f64 (-.f64 1/2 (/.f64 1/4 (pow.f64 N 2))) 1) (-.f64 (-.f64 1/2 (/.f64 1/4 (pow.f64 N 2))) (/.f64 -1 N)))
(+.f64 (-.f64 (-.f64 1/2 (/.f64 1/4 (pow.f64 N 2))) (+.f64 1 (/.f64 -1 N))) (-.f64 1/2 (/.f64 1/4 (pow.f64 N 2))))
(+.f64 (-.f64 -1 (+.f64 1 (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1))) (+.f64 1 (/.f64 1 N)))
(*.f64 1 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N)))
(.f64 1/2 (.f64 2 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))))
(*.f64 -1 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)))
(*.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N)) 1)
(*.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) -1)
(.f64 (.f64 2 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))) 1/2)
(.f64 (.f64 2 (*.f64 2 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N)))) 1/4)
(/.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N)) 1)
(/.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) -1)
(/.f64 (*.f64 2 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))) 2)
(/.f64 (.f64 2 (.f64 2 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N)))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N)))) (.f64 2 (.f64 2 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))))) 8)
(/.f64 (+.f64 (-.f64 (*.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) -2) (-.f64 (/.f64 2 N) 2)) 2)
(/.f64 (+.f64 (*.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 2 N)) 2)
(/.f64 (+.f64 (/.f64 2 N) (*.f64 (/.f64 -1/2 (pow.f64 N 2)) 2)) 2)
(/.f64 (+.f64 (-.f64 (*.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) 2) (+.f64 2 (/.f64 2 N))) 2)
(/.f64 (+.f64 (+.f64 2 (/.f64 2 N)) (-.f64 (*.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) 2)) 2)
(/.f64 (+.f64 (-.f64 (/.f64 2 N) 2) (-.f64 (*.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) -2)) 2)
(/.f64 (-.f64 (.f64 2 (-.f64 (.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) -2)) (*.f64 2 (-.f64 (/.f64 -2 N) -2))) 4)
(/.f64 (-.f64 (*.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 -2 N)) 2)
(/.f64 (-.f64 (/.f64 2 N) (/.f64 1 (pow.f64 N 2))) 2)
(pow.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N)) 1)
(neg.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)))
(-.f64 1 (/.f64 1 N))
(-.f64 (/.f64 -1 N) -1)
(-.f64 (+.f64 1 (/.f64 -1 N)) 0)
(-.f64 (+.f64 1 (/.f64 -1 N)) (/.f64 0 N))
(-.f64 0 (+.f64 -1 (/.f64 1 N)))
(-.f64 (+.f64 -1 (/.f64 -1 N)) -2)
(-.f64 (+.f64 (/.f64 -1 N) 2) 1)
(-.f64 (+.f64 1/2 (/.f64 -1/2 N)) (/.f64 (+.f64 -1 (/.f64 1 N)) 2))
(-.f64 (/.f64 N N) (/.f64 1 N))
(*.f64 1 (+.f64 1 (/.f64 -1 N)))
(*.f64 1/2 (-.f64 (/.f64 -2 N) -2))
(.f64 1/2 (.f64 (/.f64 -2 N) (-.f64 1 N)))
(*.f64 -1 (+.f64 -1 (/.f64 1 N)))
(*.f64 -1 (/.f64 (-.f64 1 N) N))
(*.f64 (/.f64 -1 N) (-.f64 1 N))
(.f64 (/.f64 -1 N) (.f64 1 (-.f64 1 N)))
(*.f64 (+.f64 1 (/.f64 -1 N)) 1)
(.f64 (/.f64 1 N) (.f64 -1 (-.f64 1 N)))
(*.f64 (+.f64 -1 (/.f64 1 N)) -1)
(*.f64 -2 (/.f64 (-.f64 1 N) (+.f64 N N)))
(*.f64 (+.f64 N -1) (/.f64 1 N))
(*.f64 (/.f64 -2 N) (/.f64 (-.f64 1 N) 2))
(.f64 -4 (/.f64 (-.f64 1 N) (.f64 N 4)))
(*.f64 (-.f64 (/.f64 -2 N) -2) 1/2)
(.f64 (/.f64 1/2 N) (.f64 -2 (-.f64 1 N)))
(.f64 (/.f64 1 (.f64 N 4)) (*.f64 -4 (-.f64 1 N)))
(*.f64 (/.f64 -4 N) (/.f64 (-.f64 1 N) 4))
(.f64 -8 (/.f64 (-.f64 1 N) (.f64 2 (*.f64 N 4))))
(.f64 (.f64 2 (-.f64 (/.f64 -2 N) -2)) 1/4)
(*.f64 (-.f64 1 N) (/.f64 -1 N))
(/.f64 (+.f64 1 (/.f64 -1 N)) 1)
(/.f64 (+.f64 -1 (/.f64 1 N)) -1)
(/.f64 (+.f64 N -1) N)
(/.f64 (-.f64 (/.f64 -2 N) -2) 2)
(/.f64 (*.f64 2 (-.f64 (/.f64 -2 N) -2)) 4)
(/.f64 (+.f64 1/2 (/.f64 -1/2 N)) 1/2)
(/.f64 (-.f64 (/.f64 2 N) 2) -2)
(/.f64 (-.f64 1 N) (neg.f64 N))
(/.f64 (/.f64 (-.f64 (/.f64 2 N) 2) -1) 2)
(/.f64 (+.f64 (+.f64 N -1) (+.f64 N -1)) (+.f64 N N))
(/.f64 (+.f64 (.f64 2 (-.f64 (/.f64 -2 N) -2)) (.f64 2 (-.f64 (/.f64 -2 N) -2))) 8)
(pow.f64 (+.f64 1 (/.f64 -1 N)) 1)
(neg.f64 (+.f64 -1 (/.f64 1 N)))

Outputs
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
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(/.f64 1 N)
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(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
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(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
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(/.f64 -1 N)
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(-.f64 1 (/.f64 1 N))
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(-.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 -1 N))
1
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(-.f64 1 (/.f64 1 N))
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(-.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 -1 N))
1
(-.f64 1 (/.f64 1 N))
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(-.f64 1 (/.f64 1 N))
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(-.f64 1 (/.f64 1 N))
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(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
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(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
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(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
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(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
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(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
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(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
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(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
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(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
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(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
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(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
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(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
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(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
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(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
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(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
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(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
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(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
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(/.f64 (+.f64 (-.f64 (*.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) 2) (+.f64 2 (/.f64 2 N))) 2)
(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
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(/.f64 (+.f64 (+.f64 2 (/.f64 2 N)) (-.f64 (*.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) 2)) 2)
(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
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(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
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(/.f64 (-.f64 (.f64 2 (-.f64 (.f64 2 (/.f64 -1/2 (pow.f64 N 2))) -2)) (*.f64 2 (-.f64 (/.f64 -2 N) -2))) 4)
(/.f64 (.f64 2 (-.f64 (-.f64 (.f64 -1 (/.f64 1 (pow.f64 N 2))) -2) (-.f64 (/.f64 -2 N) -2))) 4)
(/.f64 (*.f64 (-.f64 (-.f64 (/.f64 -1 (pow.f64 N 2)) (-.f64 2 (/.f64 2 N))) -2) 4) 8)
(/.f64 (*.f64 4 (-.f64 (-.f64 (/.f64 -1 (pow.f64 N 2)) (-.f64 2 (/.f64 2 N))) -2)) 8)
(/.f64 (-.f64 (*.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 -2 N)) 2)
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(-.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 2 (/.f64 1/4 (pow.f64 N 2))))
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(-.f64 (+.f64 1 (/.f64 -1 N)) 0)
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(-.f64 (+.f64 1 (/.f64 -1 N)) (/.f64 0 N))
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(-.f64 (+.f64 1/2 (/.f64 -1/2 N)) (/.f64 (+.f64 -1 (/.f64 1 N)) 2))
(-.f64 1 (/.f64 1 N))
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(-.f64 (/.f64 N N) (/.f64 1 N))
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(*.f64 1 (+.f64 1 (/.f64 -1 N)))
(-.f64 1 (/.f64 1 N))
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(*.f64 1/2 (-.f64 (/.f64 -2 N) -2))
(-.f64 1 (/.f64 1 N))
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(.f64 1/2 (.f64 (/.f64 -2 N) (-.f64 1 N)))
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(*.f64 -1 (+.f64 -1 (/.f64 1 N)))
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(*.f64 (/.f64 -1 N) (-.f64 1 N))
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(*.f64 (+.f64 1 (/.f64 -1 N)) 1)
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(.f64 (/.f64 1 N) (.f64 -1 (-.f64 1 N)))
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(*.f64 (+.f64 -1 (/.f64 1 N)) -1)
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(*.f64 (-.f64 (/.f64 -2 N) -2) 1/2)
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(.f64 (/.f64 1/2 N) (.f64 -2 (-.f64 1 N)))
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(/.f64 (+.f64 1 (/.f64 -1 N)) 1)
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(/.f64 (+.f64 -1 (/.f64 1 N)) -1)
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(/.f64 (+.f64 N -1) N)
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(/.f64 (-.f64 (/.f64 -2 N) -2) 2)
(-.f64 1 (/.f64 1 N))
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(/.f64 (*.f64 2 (-.f64 (/.f64 -2 N) -2)) 4)
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(/.f64 (+.f64 1/2 (/.f64 -1/2 N)) 1/2)
(-.f64 1 (/.f64 1 N))
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(/.f64 (-.f64 (/.f64 2 N) 2) -2)
(-.f64 1 (/.f64 1 N))
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(/.f64 (-.f64 1 N) (neg.f64 N))
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(/.f64 (/.f64 (-.f64 (/.f64 2 N) 2) -1) 2)
(-.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 -1 N))
(/.f64 (+.f64 (+.f64 N -1) (+.f64 N -1)) (+.f64 N N))
(-.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 -1 N))
(/.f64 (+.f64 (.f64 2 (-.f64 (/.f64 -2 N) -2)) (.f64 2 (-.f64 (/.f64 -2 N) -2))) 8)
(-.f64 1 (/.f64 1 N))
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(pow.f64 (+.f64 1 (/.f64 -1 N)) 1)
(-.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 -1 N))
(neg.f64 (+.f64 -1 (/.f64 1 N)))
(-.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 -1 N))

localize57.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 N) (+.f64 -1 (+.f64 1 (/.f64 1/2 (pow.f64 N 2)))))
	0.5b	(/.f64 1/2 (pow.f64 N 2))
✓	1.5b	(+.f64 -1 (+.f64 1 (/.f64 1/2 (pow.f64 N 2))))

Compiler

Compiled 46 to 38 computations (17.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite476.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1528×	`rational_best-simplify-56`
1174×	`rational_best-4`
1174×	`rational_best-2`
1174×	`rational_best-3`
1174×	`rational_best-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	93	38
2	196	38
3	541	38
4	2682	38

Stop Event

1×	node limit

Counts

2 → 132

Calls

Call 1

Inputs
(+.f64 -1 (+.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (+.f64 -1 (+.f64 1 (/.f64 1/2 (pow.f64 N 2)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (pow.f64 N 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/2 (pow.f64 N 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (/.f64 1/2 (pow.f64 N 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 1/2 (pow.f64 N 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/4 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (/.f64 1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 N 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (pow.f64 N 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 N 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1/8 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 1/4 (pow.f64 N 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 1 (+.f64 (*.f64 2 (*.f64 (pow.f64 N 2) 4)) (*.f64 2 (*.f64 (pow.f64 N 2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 1/2 (*.f64 2 (*.f64 (pow.f64 N 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 N 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (pow.f64 N 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1/2 (pow.f64 N 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 2 (pow.f64 N 2))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/8 (pow.f64 N 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (pow.f64 N 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (pow.f64 N 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (pow.f64 N 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/2 (pow.f64 N 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 N 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (*.f64 (pow.f64 N 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 N 2) 4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 N 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (+.f64 (*.f64 2 (*.f64 (pow.f64 N 2) 4)) (*.f64 2 (*.f64 (pow.f64 N 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 (*.f64 (pow.f64 N 2) 4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (pow.f64 N 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/4 (pow.f64 N 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (neg.f64 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (*.f64 (pow.f64 N 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 2 (pow.f64 N 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/8 (pow.f64 N 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (pow.f64 N 2)) 1/2) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (pow.f64 (+.f64 N N) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (pow.f64 N 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1/2 (pow.f64 N 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (+.f64 1 (/.f64 1 N)) (/.f64 -1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (/.f64 1 N) (+.f64 -1 (/.f64 1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (+.f64 1 (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (neg.f64 (/.f64 -1 N)) (+.f64 -1 (/.f64 1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (/.f64 (-.f64 -1 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -2 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 N)) (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))) (+.f64 1 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))) (-.f64 1 (/.f64 -1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))) (+.f64 (neg.f64 (/.f64 -1 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 (pow.f64 N 2)) (neg.f64 (/.f64 -1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 1 (+.f64 -1 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 -1 (+.f64 1 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 (+.f64 1 (/.f64 1 N)) (+.f64 -1 (/.f64 1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 2 N)) (/.f64 -1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 -1 N)) (/.f64 -1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 1 N)) (neg.f64 (+.f64 -1 (/.f64 1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 N) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 -1 (/.f64 1/2 (pow.f64 N 2)))) (+.f64 -1 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 -1 (/.f64 1/2 (pow.f64 N 2)))) (+.f64 (neg.f64 (/.f64 -1 N)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 1 (/.f64 1 N))) (-.f64 (-.f64 (/.f64 2 N) -2) (+.f64 1 (/.f64 1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 N) (-.f64 (/.f64 1/2 N) (/.f64 1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1/2 N) (/.f64 -1/4 (pow.f64 N 2))) (+.f64 (/.f64 1/2 N) (/.f64 -1/4 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 1 (/.f64 1 N))) (neg.f64 (+.f64 2 (/.f64 1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 1 (/.f64 1 N)) (/.f64 -1/2 (pow.f64 N 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 -1 (/.f64 1 N))) (/.f64 -1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (+.f64 1 (/.f64 1 N))) (/.f64 -1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (neg.f64 (+.f64 1 (/.f64 1 N)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 -1 N)) (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 -1 N)) (-.f64 1 (/.f64 1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/2 (pow.f64 N 2))) (-.f64 -1 (/.f64 -1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 N) (+.f64 -1 (/.f64 1/2 (pow.f64 N 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/4 (pow.f64 N 2)) (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/4 (pow.f64 N 2)) (-.f64 (neg.f64 (/.f64 -1 N)) (/.f64 1/4 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/4 (pow.f64 N 2)) (/.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 2 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 2 (/.f64 1/2 (pow.f64 N 2)))) (+.f64 1 (+.f64 1 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 1 (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 1 (/.f64 1 N)) (+.f64 -1 (/.f64 1/2 (pow.f64 N 2)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 1 (/.f64 1 N)) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) (neg.f64 (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) (-.f64 (+.f64 1 (/.f64 1 N)) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) (/.f64 (+.f64 1 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 2 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (/.f64 -1 N)) 1) (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (/.f64 -1 N)) -1) (neg.f64 (+.f64 -1 (/.f64 1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (/.f64 -1 N)) (+.f64 -1 (/.f64 1/2 (pow.f64 N 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (/.f64 -1 N)) (/.f64 1/4 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (/.f64 2 N) -2) (+.f64 1 (/.f64 1/2 (pow.f64 N 2)))) (neg.f64 (+.f64 1 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -1 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -2 N))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 N) (+.f64 N N)) (/.f64 (+.f64 (/.f64 1 N) (-.f64 -1 (/.f64 1 (pow.f64 N 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 1 N) (-.f64 -1 (/.f64 1 (pow.f64 N 2)))) 2) (/.f64 (+.f64 1 N) (+.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 2 N))) 2) (neg.f64 (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 2 N)) 2) (/.f64 -1/4 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1/2 N) (+.f64 1 (/.f64 1/2 (pow.f64 N 2)))) (+.f64 1 (/.f64 1/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1/2 N) (+.f64 -1 (/.f64 1/2 (pow.f64 N 2)))) (+.f64 -1 (/.f64 1/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1/2 N)) (-.f64 (/.f64 1/2 N) (+.f64 1 (/.f64 1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1/2 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 1/2 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 1/2 N)) (-.f64 (/.f64 1/2 N) (+.f64 -1 (/.f64 1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (/.f64 2 N) (/.f64 -1 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 N) (/.f64 -1 (pow.f64 N 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 4 N) (/.f64 2 (pow.f64 N 2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (/.f64 4 N) (/.f64 2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (/.f64 4 N) (/.f64 2 (pow.f64 N 2))) (-.f64 (/.f64 4 N) (/.f64 2 (pow.f64 N 2)))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 2 N) (/.f64 -1 (pow.f64 N 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 N) (/.f64 2 (pow.f64 N 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -2 N)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (/.f64 4 N) (/.f64 2 (pow.f64 N 2))) (-.f64 (/.f64 4 N) (/.f64 2 (pow.f64 N 2)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 4 N)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 2 (/.f64 1 (pow.f64 N 2))) (-.f64 (/.f64 2 N) -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -2 N)) (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -2 N))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 4 N)) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (+.f64 2 (/.f64 1 (pow.f64 N 2))) (-.f64 (/.f64 2 N) -2)) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -2 N)) (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -2 N))) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)))))))

simplify771.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1350×	`rational_best-simplify-1`
870×	`rational_best-simplify-49`
854×	`rational_best-simplify-53`
784×	`rational_best-simplify-64`
606×	`rational_best-simplify-55`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	245	3670
1	575	3614
2	1795	3546
3	7228	3546

Stop Event

1×	node limit

Counts

156 → 159

Calls

Call 1

Inputs
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
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(/.f64 (/.f64 1/8 (pow.f64 N 2)) 1/4)
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(*.f64 1/2 (+.f64 (/.f64 2 N) (/.f64 -1 (pow.f64 N 2))))
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(*.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 1)
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(*.f64 (+.f64 (-.f64 (/.f64 4 N) (/.f64 2 (pow.f64 N 2))) (-.f64 (/.f64 4 N) (/.f64 2 (pow.f64 N 2)))) 1/8)
(/.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 1)
(/.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) -1)
(/.f64 (+.f64 (/.f64 2 N) (/.f64 -1 (pow.f64 N 2))) 2)
(/.f64 (-.f64 (/.f64 4 N) (/.f64 2 (pow.f64 N 2))) 4)
(/.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -2 N)) -2)
(/.f64 (+.f64 (-.f64 (/.f64 4 N) (/.f64 2 (pow.f64 N 2))) (-.f64 (/.f64 4 N) (/.f64 2 (pow.f64 N 2)))) 8)
(/.f64 (-.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 4 N)) -4)
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(/.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -2 N)) (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -2 N))) -4)
(/.f64 (/.f64 (-.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 4 N)) -1) 4)
(/.f64 (/.f64 (-.f64 (+.f64 2 (/.f64 1 (pow.f64 N 2))) (-.f64 (/.f64 2 N) -2)) -1) 2)
(/.f64 (/.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -2 N)) (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -2 N))) -1) 4)
(pow.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 1)
(neg.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)))

Outputs
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
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(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
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(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
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(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
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(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
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(+.f64 (/.f64 1/2 N) (+.f64 1 (-.f64 (/.f64 1/2 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) 1))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 (+.f64 -1 (/.f64 1/2 N)) (+.f64 1 (/.f64 1/2 N))))
(+.f64 1 (+.f64 (/.f64 1/2 N) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 -1 (/.f64 1/2 N)))))
(+.f64 (-.f64 (/.f64 1/2 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 1/2 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(+.f64 (+.f64 -1 (/.f64 1/2 N)) (-.f64 (/.f64 1/2 N) (+.f64 -1 (/.f64 1/2 (pow.f64 N 2)))))
(+.f64 (/.f64 1/2 N) (+.f64 1 (-.f64 (/.f64 1/2 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) 1))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 (+.f64 -1 (/.f64 1/2 N)) (+.f64 1 (/.f64 1/2 N))))
(+.f64 1 (+.f64 (/.f64 1/2 N) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 -1 (/.f64 1/2 N)))))
(*.f64 -1 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(*.f64 1 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(*.f64 1/2 (+.f64 (/.f64 2 N) (/.f64 -1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(.f64 2 (.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 1/2))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(*.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 1)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(*.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) -1)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(*.f64 (+.f64 (/.f64 2 N) (/.f64 -1 (pow.f64 N 2))) 1/2)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(*.f64 (-.f64 (/.f64 4 N) (/.f64 2 (pow.f64 N 2))) 1/4)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(*.f64 1/4 (-.f64 (/.f64 4 N) (/.f64 2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(*.f64 (+.f64 (-.f64 (/.f64 4 N) (/.f64 2 (pow.f64 N 2))) (-.f64 (/.f64 4 N) (/.f64 2 (pow.f64 N 2)))) 1/8)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 1)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) -1)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (+.f64 (/.f64 2 N) (/.f64 -1 (pow.f64 N 2))) 2)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (-.f64 (/.f64 4 N) (/.f64 2 (pow.f64 N 2))) 4)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -2 N)) -2)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (+.f64 (-.f64 (/.f64 4 N) (/.f64 2 (pow.f64 N 2))) (-.f64 (/.f64 4 N) (/.f64 2 (pow.f64 N 2)))) 8)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (-.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 4 N)) -4)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (-.f64 (+.f64 2 (/.f64 1 (pow.f64 N 2))) (-.f64 (/.f64 2 N) -2)) -2)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -2 N)) (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -2 N))) -4)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (/.f64 (-.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 4 N)) -1) 4)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (/.f64 (-.f64 (+.f64 2 (/.f64 1 (pow.f64 N 2))) (-.f64 (/.f64 2 N) -2)) -1) 2)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 (/.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -2 N)) (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -2 N))) -1) 4)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(pow.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 1)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(neg.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))

localize118.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 (+.f64 N 1)) 3)
✓	0.3b	(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N))
	2.2b	(log.f64 (+.f64 N 1))
✓	23.9b	(-.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) (.f64 (log.f64 (+.f64 N 1)) 2))

Compiler

Compiled 51 to 38 computations (25.5% saved)

series17.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	N	@	-inf	(-.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) (.f64 (log.f64 (+.f64 N 1)) 2))
0.0ms	N	@	inf	(-.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) (.f64 (log.f64 (+.f64 N 1)) 2))
0.0ms	N	@	-inf	(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N))
0.0ms	N	@	inf	(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N))
0.0ms	N	@	0	(-.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) (.f64 (log.f64 (+.f64 N 1)) 2))

rewrite409.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1210×	`rational_best-4`
1210×	`rational_best-2`
1210×	`rational_best-3`
1210×	`rational_best-1`
1210×	`exponential-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	93
1	94	65
2	193	65
3	555	65
4	2842	65

Stop Event

1×	node limit

Counts

3 → 132

Calls

Call 1

Inputs
(-.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) (.f64 (log.f64 (+.f64 N 1)) 2))
(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N))
(*.f64 (log.f64 (+.f64 N 1)) 3)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 N)) (*.f64 (log.f64 (+.f64 N 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 N)) (neg.f64 (neg.f64 (*.f64 (log.f64 (+.f64 N 1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 6) (log.f64 N)) (neg.f64 (*.f64 (log.f64 (+.f64 N 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (log.f64 (+.f64 N 1)) 3)) (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 6) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 2) (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (log.f64 (+.f64 N 1)) 12) 8) (+.f64 (neg.f64 (log.f64 N)) (/.f64 (*.f64 (log.f64 (+.f64 N 1)) 12) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (log.f64 (+.f64 N 1)) 12) 8) (-.f64 (/.f64 (*.f64 (log.f64 (+.f64 N 1)) 12) 8) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (log.f64 N)) (/.f64 (*.f64 (log.f64 (+.f64 N 1)) 12) 8)) (/.f64 (*.f64 (log.f64 (+.f64 N 1)) 12) 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 (+.f64 N 1)) 3))) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 N) -2) (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (/.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 N) -2) (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 6) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (/.f64 (log.f64 N) 2)) (/.f64 (log.f64 N) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 6) (log.f64 N)) 2) (/.f64 (log.f64 N) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (*.f64 (log.f64 (+.f64 N 1)) 12) 8) (log.f64 N)) (/.f64 (*.f64 (log.f64 (+.f64 N 1)) 12) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 6) (*.f64 (log.f64 N) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 6) (*.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 12) (*.f64 (log.f64 N) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 12) (*.f64 (log.f64 N) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 12) (*.f64 (log.f64 N) 4))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 6) (*.f64 (log.f64 N) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 12) (*.f64 (log.f64 N) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) 3))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 12) (*.f64 (log.f64 N) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 N) 4) (*.f64 (log.f64 (+.f64 N 1)) 12)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (-.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) 3))) 2) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 (log.f64 N) 4) (*.f64 (log.f64 (+.f64 N 1)) 12)) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 2 (-.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) 3))) 2) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) 3)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 N 1)) (*.f64 (log.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 (+.f64 N 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 N)) (+.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (+.f64 N 1)) -2) (*.f64 (log.f64 (+.f64 N 1)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (log.f64 (+.f64 N 1)) 12) 8) (/.f64 (*.f64 (log.f64 (+.f64 N 1)) 12) 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (+.f64 N 1)) 5) (*.f64 (log.f64 (+.f64 N 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 N 1)) (*.f64 (log.f64 (+.f64 N 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (neg.f64 (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 (+.f64 N 1)) 6) (*.f64 (log.f64 (+.f64 N 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 (+.f64 N 1)) 4) (log.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 (+.f64 N 1)) 8) (*.f64 (log.f64 (+.f64 N 1)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (log.f64 (+.f64 N 1)) 12) 8) (/.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) (+.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N))) (+.f64 (log.f64 N) (+.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (log.f64 (+.f64 N 1)) 5) (*.f64 (log.f64 (+.f64 N 1)) 5)) (+.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (*.f64 (log.f64 (+.f64 N 1)) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 N 1)) 6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 N 1)) 12) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 12)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (+.f64 N 1) 3))))))

simplify786.0ms (1%)

Algorithm

1×	egg-herbie

Rules

990×	`rational_best-simplify-48`
946×	`rational_best-simplify-52`
922×	`rational_best-simplify-47`
640×	`rational_best-simplify-3`
626×	`rational_best-simplify-57`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	330	6708
1	755	6042
2	1840	5578
3	7757	5468

Stop Event

1×	node limit

Counts

168 → 274

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(-.f64 (.f64 -3 (log.f64 (/.f64 1 N))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (*.f64 -2 (log.f64 (/.f64 1 N)))))
(-.f64 (+.f64 (.f64 -3 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (*.f64 -2 (log.f64 (/.f64 1 N)))))
(-.f64 (+.f64 (.f64 -3 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 N))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))))
(-.f64 (+.f64 (.f64 -3 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))))
(-.f64 (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(-.f64 (+.f64 (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (/.f64 1 N)) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(-.f64 (+.f64 (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (/.f64 1 N)) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (.f64 -1 (log.f64 (/.f64 -1 N)))))))
(-.f64 (+.f64 (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))
(*.f64 -1 (log.f64 N))
(+.f64 (.f64 3 N) (.f64 -1 (log.f64 N)))
(+.f64 (.f64 3 N) (+.f64 (.f64 -3/2 (pow.f64 N 2)) (*.f64 -1 (log.f64 N))))
(+.f64 (.f64 3 N) (+.f64 (.f64 -3/2 (pow.f64 N 2)) (+.f64 (*.f64 -1 (log.f64 N)) (pow.f64 N 3))))
(-.f64 (.f64 -3 (log.f64 (/.f64 1 N))) (.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 (.f64 -3 (log.f64 (/.f64 1 N))) (.f64 3 (/.f64 1 N))) (*.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 N)) (.f64 -3 (log.f64 (/.f64 1 N)))) (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 N 2))) (.f64 -1 (log.f64 (/.f64 1 N)))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 N)) (+.f64 (.f64 -3 (log.f64 (/.f64 1 N))) (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 N 2))) (.f64 -1 (log.f64 (/.f64 1 N)))))
(-.f64 (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(-.f64 (+.f64 (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (.f64 3 (/.f64 1 N))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 N)) (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 N)) (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(*.f64 3 N)
(+.f64 (.f64 3 N) (.f64 -3/2 (pow.f64 N 2)))
(+.f64 (.f64 3 N) (+.f64 (.f64 -3/2 (pow.f64 N 2)) (pow.f64 N 3)))
(+.f64 (.f64 3 N) (+.f64 (.f64 -3/4 (pow.f64 N 4)) (+.f64 (*.f64 -3/2 (pow.f64 N 2)) (pow.f64 N 3))))
(*.f64 -3 (log.f64 (/.f64 1 N)))
(+.f64 (.f64 -3 (log.f64 (/.f64 1 N))) (.f64 3 (/.f64 1 N)))
(-.f64 (+.f64 (.f64 3 (/.f64 1 N)) (.f64 -3 (log.f64 (/.f64 1 N)))) (*.f64 3/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 N)) (+.f64 (.f64 -3 (log.f64 (/.f64 1 N))) (/.f64 1 (pow.f64 N 3)))) (*.f64 3/2 (/.f64 1 (pow.f64 N 2))))
(.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))
(+.f64 (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 3 (/.f64 1 N)))
(-.f64 (+.f64 (.f64 3 (/.f64 1 N)) (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (.f64 3/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 N)) (+.f64 (/.f64 1 (pow.f64 N 3)) (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (.f64 3/2 (/.f64 1 (pow.f64 N 2))))
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(+.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) (.f64 (log.f64 (+.f64 N 1)) -2))
(+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)
(+.f64 0 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
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(+.f64 (-.f64 (log.f64 N) (.f64 (log.f64 (+.f64 N 1)) 3)) (.f64 2 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N))))
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(+.f64 (+.f64 (neg.f64 (log.f64 N)) (.f64 (log.f64 (+.f64 N 1)) -2)) (.f64 (log.f64 (+.f64 N 1)) 3))
(+.f64 (neg.f64 (.f64 (log.f64 (+.f64 N 1)) 3)) (-.f64 (.f64 (log.f64 (+.f64 N 1)) 6) (-.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) -2))))
(+.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))
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(+.f64 (/.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 2) (-.f64 (/.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 2) (*.f64 (log.f64 (+.f64 N 1)) 2)))
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(+.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (neg.f64 (log.f64 N)) (/.f64 (log.f64 (+.f64 N 1)) 2)))
(+.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (-.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)))
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(+.f64 (+.f64 1 (.f64 (log.f64 (+.f64 N 1)) -2)) (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (+.f64 (log.f64 N) 1)))
(+.f64 (-.f64 -1 (log.f64 N)) (+.f64 1 (log.f64 (+.f64 N 1))))
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(+.f64 (-.f64 (log.f64 (+.f64 N 1)) (/.f64 (log.f64 N) 2)) (/.f64 (log.f64 N) -2))
(+.f64 (/.f64 (log.f64 N) -2) (-.f64 (log.f64 (+.f64 N 1)) (/.f64 (log.f64 N) 2)))
(+.f64 (/.f64 (log.f64 N) -2) (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) 2))
(+.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 6) (-.f64 (log.f64 N) (.f64 (log.f64 (+.f64 N 1)) -2))) (neg.f64 (*.f64 (log.f64 (+.f64 N 1)) 3)))
(+.f64 (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) 2) (/.f64 (log.f64 N) -2))
(+.f64 (-.f64 (/.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 N)) (/.f64 (log.f64 (+.f64 N 1)) 2))
(+.f64 (-.f64 (/.f64 (.f64 (log.f64 (+.f64 N 1)) 12) 8) (.f64 (log.f64 (+.f64 N 1)) 2)) (-.f64 (/.f64 (*.f64 (log.f64 (+.f64 N 1)) 12) 8) (log.f64 N)))
(+.f64 (-.f64 (/.f64 (.f64 (log.f64 (+.f64 N 1)) 12) 8) (log.f64 N)) (-.f64 (/.f64 (.f64 (log.f64 (+.f64 N 1)) 12) 8) (*.f64 (log.f64 (+.f64 N 1)) 2)))
(+.f64 (-.f64 (/.f64 (.f64 (log.f64 (+.f64 N 1)) 12) 8) (-.f64 (log.f64 N) (.f64 (log.f64 (+.f64 N 1)) -2))) (/.f64 (*.f64 (log.f64 (+.f64 N 1)) 12) 8))
(+.f64 (-.f64 (/.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 2) (.f64 (log.f64 (+.f64 N 1)) 2)) (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 2))
(+.f64 (-.f64 (/.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 2) (.f64 (log.f64 (+.f64 N 1)) 4)) (-.f64 (/.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 2) (.f64 (log.f64 (+.f64 N 1)) -2)))
(+.f64 (-.f64 (/.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 2) (.f64 (log.f64 (+.f64 N 1)) -2)) (-.f64 (/.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 2) (.f64 (log.f64 (+.f64 N 1)) 4)))
(*.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))
(*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(*.f64 -1 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(.f64 (.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 1/2)
(.f64 1/2 (.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 1/4)
(.f64 1/4 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))
(.f64 (.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) 1/8)
(/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(/.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(/.f64 (*.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 2)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4)) 8)
(/.f64 (-.f64 (.f64 (log.f64 N) 4) (.f64 (log.f64 (+.f64 N 1)) 4)) -4)
(/.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4) -4)
(/.f64 (/.f64 (-.f64 (.f64 (log.f64 N) 4) (.f64 (log.f64 (+.f64 N 1)) 4)) -1) 4)
(/.f64 (/.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4) -1) 4)
(pow.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(neg.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(+.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (neg.f64 (log.f64 N)))
(+.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 0)
(+.f64 0 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 (log.f64 (+.f64 N 1)) 3))
(+.f64 (neg.f64 (log.f64 N)) (neg.f64 (neg.f64 (*.f64 (log.f64 (+.f64 N 1)) 3))))
(+.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 6) (log.f64 N)) (neg.f64 (.f64 (log.f64 (+.f64 N 1)) 3)))
(+.f64 (neg.f64 (.f64 (log.f64 (+.f64 N 1)) 3)) (-.f64 (.f64 (log.f64 (+.f64 N 1)) 6) (log.f64 N)))
(+.f64 (/.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 2) (/.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 2))
(+.f64 (/.f64 (.f64 (log.f64 (+.f64 N 1)) 12) 8) (+.f64 (neg.f64 (log.f64 N)) (/.f64 (.f64 (log.f64 (+.f64 N 1)) 12) 8)))
(+.f64 (/.f64 (.f64 (log.f64 (+.f64 N 1)) 12) 8) (-.f64 (/.f64 (.f64 (log.f64 (+.f64 N 1)) 12) 8) (log.f64 N)))
(+.f64 (+.f64 (neg.f64 (log.f64 N)) (/.f64 (.f64 (log.f64 (+.f64 N 1)) 12) 8)) (/.f64 (.f64 (log.f64 (+.f64 N 1)) 12) 8))
(+.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 (+.f64 N 1)) 3))) (neg.f64 (log.f64 N)))
(+.f64 (/.f64 (log.f64 N) -2) (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (/.f64 (log.f64 N) 2)))
(+.f64 (/.f64 (log.f64 N) -2) (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 6) (log.f64 N)) 2))
(+.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (/.f64 (log.f64 N) 2)) (/.f64 (log.f64 N) -2))
(+.f64 (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 6) (log.f64 N)) 2) (/.f64 (log.f64 N) -2))
(+.f64 (-.f64 (/.f64 (.f64 (log.f64 (+.f64 N 1)) 12) 8) (log.f64 N)) (/.f64 (.f64 (log.f64 (+.f64 N 1)) 12) 8))
(.f64 1 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)))
(.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 1)
(.f64 2 (.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 1/2))
(.f64 -1 (-.f64 (log.f64 N) (.f64 (log.f64 (+.f64 N 1)) 3)))
(.f64 (-.f64 (log.f64 N) (.f64 (log.f64 (+.f64 N 1)) 3)) -1)
(.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 6) (*.f64 (log.f64 N) 2)) 1/2)
(.f64 1/2 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 6) (*.f64 (log.f64 N) 2)))
(.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 12) (*.f64 (log.f64 N) 4)) 1/4)
(.f64 1/4 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 12) (*.f64 (log.f64 N) 4)))
(.f64 (.f64 2 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 12) (.f64 (log.f64 N) 4))) 1/8)
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 1)
(/.f64 (-.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) 3)) -1)
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 6) (.f64 (log.f64 N) 2)) 2)
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 12) (.f64 (log.f64 N) 4)) 4)
(/.f64 (.f64 2 (-.f64 (log.f64 N) (.f64 (log.f64 (+.f64 N 1)) 3))) -2)
(/.f64 (.f64 2 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 12) (*.f64 (log.f64 N) 4))) 8)
(/.f64 (-.f64 (.f64 (log.f64 N) 4) (.f64 (log.f64 (+.f64 N 1)) 12)) -4)
(/.f64 (.f64 (.f64 2 (-.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) 3))) 2) -4)
(/.f64 (/.f64 (-.f64 (.f64 (log.f64 N) 4) (.f64 (log.f64 (+.f64 N 1)) 12)) -1) 4)
(/.f64 (/.f64 (.f64 (.f64 2 (-.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) 3))) 2) -1) 4)
(pow.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 1)
(neg.f64 (-.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) 3)))
(+.f64 (log.f64 (+.f64 N 1)) (*.f64 (log.f64 (+.f64 N 1)) 2))
(+.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) 0)
(+.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 (+.f64 N 1)))
(+.f64 0 (*.f64 (log.f64 (+.f64 N 1)) 3))
(+.f64 (neg.f64 (log.f64 N)) (+.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)))
(+.f64 (.f64 (log.f64 (+.f64 N 1)) -2) (.f64 (log.f64 (+.f64 N 1)) 5))
(+.f64 (/.f64 (.f64 (log.f64 (+.f64 N 1)) 12) 8) (/.f64 (.f64 (log.f64 (+.f64 N 1)) 12) 8))
(+.f64 (+.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) (neg.f64 (log.f64 N)))
(+.f64 (.f64 (log.f64 (+.f64 N 1)) 5) (.f64 (log.f64 (+.f64 N 1)) -2))
(-.f64 (log.f64 (+.f64 N 1)) (*.f64 (log.f64 (+.f64 N 1)) -2))
(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) 0)
(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (neg.f64 (log.f64 (+.f64 N 1))))
(-.f64 (.f64 (log.f64 (+.f64 N 1)) 6) (.f64 (log.f64 (+.f64 N 1)) 3))
(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 4) (log.f64 (+.f64 N 1)))
(-.f64 (.f64 (log.f64 (+.f64 N 1)) 8) (.f64 (log.f64 (+.f64 N 1)) 5))
(-.f64 (/.f64 (.f64 (log.f64 (+.f64 N 1)) 12) 8) (/.f64 (.f64 (log.f64 (+.f64 N 1)) 3) -2))
(-.f64 (+.f64 (+.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) (+.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N))) (+.f64 (log.f64 N) (+.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N))))
(-.f64 (+.f64 (.f64 (log.f64 (+.f64 N 1)) 5) (.f64 (log.f64 (+.f64 N 1)) 5)) (+.f64 (.f64 (log.f64 (+.f64 N 1)) 2) (.f64 (log.f64 (+.f64 N 1)) 5)))
(/.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) 1)
(/.f64 (*.f64 (log.f64 (+.f64 N 1)) 6) 2)
(/.f64 (*.f64 (log.f64 (+.f64 N 1)) 12) 4)
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 12)) 8)
(pow.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) 1)
(log.f64 (pow.f64 (+.f64 N 1) 3))

Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (neg.f64 (log.f64 N))))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (+.f64 (.f64 -1/2 (pow.f64 N 2)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (neg.f64 (log.f64 N)))))
(+.f64 N (+.f64 (.f64 -1/2 (pow.f64 N 2)) (-.f64 (.f64 1/3 (pow.f64 N 3)) (log.f64 N))))
(-.f64 (.f64 -3 (log.f64 (/.f64 1 N))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (*.f64 -2 (log.f64 (/.f64 1 N)))))
(-.f64 (.f64 -3 (log.f64 (/.f64 1 N))) (.f64 -3 (log.f64 (/.f64 1 N))))
0
(-.f64 (+.f64 (.f64 -3 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (*.f64 -2 (log.f64 (/.f64 1 N)))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 -3 (log.f64 (/.f64 1 N)))) (.f64 -3 (log.f64 (/.f64 1 N))))
(-.f64 0 (/.f64 -1 N))
(-.f64 (+.f64 (.f64 -3 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 N))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 -3 (log.f64 (/.f64 1 N)))) (+.f64 (.f64 1 (/.f64 1/2 (pow.f64 N 2))) (*.f64 -3 (log.f64 (/.f64 1 N)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1 N)) (+.f64 (*.f64 1 (/.f64 1/2 (pow.f64 N 2))) (/.f64 1 N)))
(+.f64 (-.f64 0 (/.f64 -1 N)) (neg.f64 (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 0)
(-.f64 (+.f64 (.f64 -3 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))))
(-.f64 (+.f64 (.f64 -3 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (+.f64 (.f64 1 (/.f64 1/2 (pow.f64 N 2))) (.f64 -3 (log.f64 (/.f64 1 N)))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 -3 (log.f64 (/.f64 1 N))))) (+.f64 (.f64 -3 (log.f64 (/.f64 1 N))) (.f64 1 (/.f64 1/2 (pow.f64 N 2)))))
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(+.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 6) (log.f64 N)) (neg.f64 (.f64 (log.f64 (+.f64 N 1)) 3)))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 3 (log.f64 (+.f64 N 1))))
(-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N))
(+.f64 (neg.f64 (.f64 (log.f64 (+.f64 N 1)) 3)) (-.f64 (.f64 (log.f64 (+.f64 N 1)) 6) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 3 (log.f64 (+.f64 N 1))))
(-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N))
(+.f64 (/.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 2) (/.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 2))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 3 (log.f64 (+.f64 N 1))))
(-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N))
(+.f64 (/.f64 (.f64 (log.f64 (+.f64 N 1)) 12) 8) (+.f64 (neg.f64 (log.f64 N)) (/.f64 (.f64 (log.f64 (+.f64 N 1)) 12) 8)))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 3 (log.f64 (+.f64 N 1))))
(-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N))
(+.f64 (/.f64 (.f64 (log.f64 (+.f64 N 1)) 12) 8) (-.f64 (/.f64 (.f64 (log.f64 (+.f64 N 1)) 12) 8) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 3 (log.f64 (+.f64 N 1))))
(-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N))
(+.f64 (+.f64 (neg.f64 (log.f64 N)) (/.f64 (.f64 (log.f64 (+.f64 N 1)) 12) 8)) (/.f64 (.f64 (log.f64 (+.f64 N 1)) 12) 8))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 3 (log.f64 (+.f64 N 1))))
(-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N))
(+.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 (+.f64 N 1)) 3))) (neg.f64 (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 3 (log.f64 (+.f64 N 1))))
(-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N))
(+.f64 (/.f64 (log.f64 N) -2) (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (/.f64 (log.f64 N) 2)))
(+.f64 (/.f64 (log.f64 N) -2) (-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (/.f64 (log.f64 N) 2)))
(+.f64 (/.f64 (log.f64 N) -2) (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 6) (log.f64 N)) 2))
(+.f64 (/.f64 (log.f64 N) -2) (-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (/.f64 (log.f64 N) 2)))
(+.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (/.f64 (log.f64 N) 2)) (/.f64 (log.f64 N) -2))
(+.f64 (/.f64 (log.f64 N) -2) (-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (/.f64 (log.f64 N) 2)))
(+.f64 (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 6) (log.f64 N)) 2) (/.f64 (log.f64 N) -2))
(+.f64 (/.f64 (log.f64 N) -2) (-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (/.f64 (log.f64 N) 2)))
(+.f64 (-.f64 (/.f64 (.f64 (log.f64 (+.f64 N 1)) 12) 8) (log.f64 N)) (/.f64 (.f64 (log.f64 (+.f64 N 1)) 12) 8))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 3 (log.f64 (+.f64 N 1))))
(-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N))
(.f64 1 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 3 (log.f64 (+.f64 N 1))))
(-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N))
(.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 1)
(+.f64 (neg.f64 (log.f64 N)) (*.f64 3 (log.f64 (+.f64 N 1))))
(-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N))
(.f64 2 (.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 1/2))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 3 (log.f64 (+.f64 N 1))))
(-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N))
(.f64 -1 (-.f64 (log.f64 N) (.f64 (log.f64 (+.f64 N 1)) 3)))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 3 (log.f64 (+.f64 N 1))))
(-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N))
(.f64 (-.f64 (log.f64 N) (.f64 (log.f64 (+.f64 N 1)) 3)) -1)
(+.f64 (neg.f64 (log.f64 N)) (*.f64 3 (log.f64 (+.f64 N 1))))
(-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N))
(.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 6) (*.f64 (log.f64 N) 2)) 1/2)
(.f64 1/2 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 6) (*.f64 (log.f64 N) 2)))
(.f64 1/2 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 6) (*.f64 (log.f64 N) 2)))
(.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 12) (*.f64 (log.f64 N) 4)) 1/4)
(.f64 1/4 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 12) (*.f64 (log.f64 N) 4)))
(.f64 1/4 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 12) (*.f64 (log.f64 N) 4)))
(.f64 (.f64 2 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 12) (.f64 (log.f64 N) 4))) 1/8)
(.f64 1/4 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 12) (*.f64 (log.f64 N) 4)))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 1)
(+.f64 (neg.f64 (log.f64 N)) (*.f64 3 (log.f64 (+.f64 N 1))))
(-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N))
(/.f64 (-.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) 3)) -1)
(+.f64 (neg.f64 (log.f64 N)) (*.f64 3 (log.f64 (+.f64 N 1))))
(-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 6) (.f64 (log.f64 N) 2)) 2)
(+.f64 (neg.f64 (log.f64 N)) (*.f64 3 (log.f64 (+.f64 N 1))))
(-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 12) (.f64 (log.f64 N) 4)) 4)
(+.f64 (neg.f64 (log.f64 N)) (*.f64 3 (log.f64 (+.f64 N 1))))
(-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N))
(/.f64 (.f64 2 (-.f64 (log.f64 N) (.f64 (log.f64 (+.f64 N 1)) 3))) -2)
(+.f64 (neg.f64 (log.f64 N)) (*.f64 3 (log.f64 (+.f64 N 1))))
(-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N))
(/.f64 (.f64 2 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 12) (*.f64 (log.f64 N) 4))) 8)
(/.f64 (.f64 4 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 12) (*.f64 (log.f64 N) 4))) 16)
(/.f64 (-.f64 (.f64 (log.f64 N) 4) (.f64 (log.f64 (+.f64 N 1)) 12)) -4)
(+.f64 (neg.f64 (log.f64 N)) (*.f64 3 (log.f64 (+.f64 N 1))))
(-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N))
(/.f64 (.f64 (.f64 2 (-.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) 3))) 2) -4)
(+.f64 (neg.f64 (log.f64 N)) (*.f64 3 (log.f64 (+.f64 N 1))))
(-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N))
(/.f64 (/.f64 (-.f64 (.f64 (log.f64 N) 4) (.f64 (log.f64 (+.f64 N 1)) 12)) -1) 4)
(+.f64 (neg.f64 (log.f64 N)) (*.f64 3 (log.f64 (+.f64 N 1))))
(-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N))
(/.f64 (/.f64 (.f64 (.f64 2 (-.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) 3))) 2) -1) 4)
(+.f64 (neg.f64 (log.f64 N)) (*.f64 3 (log.f64 (+.f64 N 1))))
(-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N))
(pow.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) 1)
(+.f64 (neg.f64 (log.f64 N)) (*.f64 3 (log.f64 (+.f64 N 1))))
(-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N))
(neg.f64 (-.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1)) 3)))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 3 (log.f64 (+.f64 N 1))))
(-.f64 (*.f64 3 (log.f64 (+.f64 N 1))) (log.f64 N))
(+.f64 (log.f64 (+.f64 N 1)) (*.f64 (log.f64 (+.f64 N 1)) 2))
(+.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (+.f64 N 1))))
(*.f64 3 (log.f64 (+.f64 N 1)))
(+.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) 0)
(+.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (+.f64 N 1))))
(*.f64 3 (log.f64 (+.f64 N 1)))
(+.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (log.f64 (+.f64 N 1)))
(+.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (+.f64 N 1))))
(*.f64 3 (log.f64 (+.f64 N 1)))
(+.f64 0 (*.f64 (log.f64 (+.f64 N 1)) 3))
(+.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (+.f64 N 1))))
(*.f64 3 (log.f64 (+.f64 N 1)))
(+.f64 (neg.f64 (log.f64 N)) (+.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)))
(+.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (+.f64 N 1))))
(*.f64 3 (log.f64 (+.f64 N 1)))
(+.f64 (.f64 (log.f64 (+.f64 N 1)) -2) (.f64 (log.f64 (+.f64 N 1)) 5))
(+.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (+.f64 N 1))))
(*.f64 3 (log.f64 (+.f64 N 1)))
(+.f64 (/.f64 (.f64 (log.f64 (+.f64 N 1)) 12) 8) (/.f64 (.f64 (log.f64 (+.f64 N 1)) 12) 8))
(+.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (+.f64 N 1))))
(*.f64 3 (log.f64 (+.f64 N 1)))
(+.f64 (+.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (+.f64 N 1))))
(*.f64 3 (log.f64 (+.f64 N 1)))
(+.f64 (.f64 (log.f64 (+.f64 N 1)) 5) (.f64 (log.f64 (+.f64 N 1)) -2))
(+.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (+.f64 N 1))))
(*.f64 3 (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (*.f64 (log.f64 (+.f64 N 1)) -2))
(+.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (+.f64 N 1))))
(*.f64 3 (log.f64 (+.f64 N 1)))
(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) 0)
(+.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (+.f64 N 1))))
(*.f64 3 (log.f64 (+.f64 N 1)))
(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (neg.f64 (log.f64 (+.f64 N 1))))
(+.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (+.f64 N 1))))
(*.f64 3 (log.f64 (+.f64 N 1)))
(-.f64 (.f64 (log.f64 (+.f64 N 1)) 6) (.f64 (log.f64 (+.f64 N 1)) 3))
(+.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (+.f64 N 1))))
(*.f64 3 (log.f64 (+.f64 N 1)))
(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 4) (log.f64 (+.f64 N 1)))
(-.f64 (*.f64 4 (log.f64 (+.f64 N 1))) (log.f64 (+.f64 N 1)))
(-.f64 (.f64 (log.f64 (+.f64 N 1)) 8) (.f64 (log.f64 (+.f64 N 1)) 5))
(+.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (+.f64 N 1))))
(*.f64 3 (log.f64 (+.f64 N 1)))
(-.f64 (/.f64 (.f64 (log.f64 (+.f64 N 1)) 12) 8) (/.f64 (.f64 (log.f64 (+.f64 N 1)) 3) -2))
(+.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (+.f64 N 1))))
(*.f64 3 (log.f64 (+.f64 N 1)))
(-.f64 (+.f64 (+.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) (+.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N))) (+.f64 (log.f64 N) (+.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N))))
(+.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (+.f64 N 1))))
(*.f64 3 (log.f64 (+.f64 N 1)))
(-.f64 (+.f64 (.f64 (log.f64 (+.f64 N 1)) 5) (.f64 (log.f64 (+.f64 N 1)) 5)) (+.f64 (.f64 (log.f64 (+.f64 N 1)) 2) (.f64 (log.f64 (+.f64 N 1)) 5)))
(+.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (+.f64 N 1))))
(*.f64 3 (log.f64 (+.f64 N 1)))
(/.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) 1)
(+.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (+.f64 N 1))))
(*.f64 3 (log.f64 (+.f64 N 1)))
(/.f64 (*.f64 (log.f64 (+.f64 N 1)) 6) 2)
(+.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (+.f64 N 1))))
(*.f64 3 (log.f64 (+.f64 N 1)))
(/.f64 (*.f64 (log.f64 (+.f64 N 1)) 12) 4)
(+.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (+.f64 N 1))))
(*.f64 3 (log.f64 (+.f64 N 1)))
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 12)) 8)
(+.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (+.f64 N 1))))
(*.f64 3 (log.f64 (+.f64 N 1)))
(pow.f64 (*.f64 (log.f64 (+.f64 N 1)) 3) 1)
(+.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (+.f64 N 1))))
(*.f64 3 (log.f64 (+.f64 N 1)))
(log.f64 (pow.f64 (+.f64 N 1) 3))

eval5.3s (6.4%)

Compiler: Compiled 28311 to 22272 computations (21.3% saved)

prune1.9s (2.3%)

Pruning

24 alts after pruning (10 fresh and 14 done)

	Pruned	Kept	Total
New	1413	4	1417
Fresh	0	6	6
Picked	0	1	1
Done	0	13	13
Total	1413	24	1437

Error

0.1b

Counts

1437 → 24

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.8b	(/.f64 1 N)
✓	30.8b	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓	31.1b	(-.f64 (/.f64 1 N) (+.f64 -1 (+.f64 1 (/.f64 1/2 (pow.f64 N 2)))))
	30.8b	(-.f64 (/.f64 1/2 N) (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/2 N)))
	30.6b	(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) (/.f64 1/4 (pow.f64 N 4))))
✓	30.9b	(-.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3) (log.f64 N)) (.f64 (log.f64 (+.f64 N 1)) 2))
✓	61.0b	(-.f64 (-.f64 1 (/.f64 1/2 (pow.f64 N 2))) (+.f64 1 (/.f64 -1 N)))
✓	30.3b	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
	30.6b	(-.f64 (+.f64 (/.f64 1 N) (.f64 1 (/.f64 1/3 (pow.f64 N 3)))) (+.f64 (.f64 1 (/.f64 1/2 (pow.f64 N 2))) (*.f64 1 (/.f64 1/4 (pow.f64 N 4)))))
✓	33.6b	(-.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) (log.f64 N))
✓	30.5b	(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
✓	30.5b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	32.6b	(-.f64 N (log.f64 N))
	32.6b	(+.f64 (/.f64 N 4) (+.f64 (/.f64 N 4) (-.f64 (*.f64 N 1/2) (log.f64 N))))
	61.5b	(+.f64 (/.f64 -1 N) (+.f64 1 (+.f64 (-.f64 (-.f64 (/.f64 2 N) 2) (/.f64 1/2 (pow.f64 N 2))) 1)))
✓	30.8b	(+.f64 (-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))) (/.f64 1/2 (pow.f64 N 2)))
✓	30.3b	(+.f64 (-.f64 (/.f64 1/2 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (/.f64 1/2 N) (/.f64 -1/3 (pow.f64 N 3))))
	61.1b	(+.f64 (-.f64 (+.f64 1 (/.f64 1 N)) (+.f64 -1 (/.f64 1/2 (pow.f64 N 2)))) -2)
	32.6b	(+.f64 (+.f64 N N) (neg.f64 (+.f64 N (log.f64 N))))
	32.7b	(+.f64 N (-.f64 (*.f64 N -2) (-.f64 (neg.f64 N) (+.f64 N (log.f64 (/.f64 1 N))))))
✓	32.6b	(+.f64 N (log.f64 (/.f64 1 N)))
✓	33.6b	(neg.f64 (log.f64 N))
	61.0b	N
	61.3b	0

Compiler

Compiled 306 to 243 computations (20.6% saved)

regimes829.0ms (1%)

Counts

32 → 2

Calls

Call 1

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

Outputs

(-.f64 (+.f64 (/.f64 1 N) (*.f64 1 (/.f64 1/3 (pow.f64 N 3)))) (+.f64 (*.f64 1 (/.f64 1/2 (pow.f64 N 2))) (*.f64 1 (/.f64 1/4 (pow.f64 N 4)))))

(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))

Calls

2 calls:

692.0ms	N
43.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

Error	Segments	Branch
0.1b	2	`N`
0.1b	2	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`

Compiler

Compiled 411 to 306 computations (25.5% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00028539312616970847	0.003403810508081584

Compiler

Compiled 12 to 9 computations (25% saved)

regimes785.0ms (1%)

Counts

30 → 2

Calls

Call 1

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

Outputs
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1 N)) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))

Calls

2 calls:

686.0ms	N
59.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

Error	Segments	Branch
0.1b	2	`N`
0.1b	2	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`

Compiler

Compiled 365 to 270 computations (26% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00028539312616970847	0.003403810508081584

Compiler

Compiled 12 to 9 computations (25% saved)

regimes873.0ms (1.1%)

Counts

28 → 2

Calls

Call 1

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

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

Calls

2 calls:

767.0ms	N
88.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

Error	Segments	Branch
0.2b	2	`N`
0.2b	2	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`

Compiler

Compiled 323 to 236 computations (26.9% saved)

bsearch31.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
31.0ms	3503.4386554459224	20415.182590804172

Results

28.0ms

96×

body

256

valid

Compiler

Compiled 210 to 171 computations (18.6% saved)

regimes438.0ms (0.5%)

Counts

25 → 2

Calls

Call 1

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

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

Calls

2 calls:

330.0ms	N
42.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

Error	Segments	Branch
0.2b	2	`N`
0.2b	2	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`

Compiler

Compiled 278 to 203 computations (27% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.898195275870876e-5	0.00028539312616970847

Compiler

Compiled 12 to 9 computations (25% saved)

regimes424.0ms (0.5%)

Counts

24 → 2

Calls

Call 1

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

Outputs
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Calls

2 calls:

277.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
96.0ms	N

Results

Error	Segments	Branch
0.2b	2	`N`
0.2b	2	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`

Compiler

Compiled 266 to 196 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.898195275870876e-5	0.00028539312616970847

Compiler

Compiled 12 to 9 computations (25% saved)

regimes296.0ms (0.4%)

Counts

22 → 2

Calls

Call 1

Inputs
0
N
(/.f64 1 N)
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 (+.f64 N N) (neg.f64 (+.f64 N (log.f64 N))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (-.f64 -1 (/.f64 -1 N)) (+.f64 1 (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (-.f64 1 (/.f64 -1 N)) (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/2 N) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N)))
(-.f64 (-.f64 1 (/.f64 1/2 (pow.f64 N 2))) (+.f64 1 (/.f64 -1 N)))
(-.f64 (/.f64 1/2 N) (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/2 N)))
(-.f64 (/.f64 1 N) (+.f64 -1 (+.f64 1 (/.f64 1/2 (pow.f64 N 2)))))
(+.f64 (/.f64 N 4) (+.f64 (/.f64 N 4) (-.f64 (*.f64 N 1/2) (log.f64 N))))
(+.f64 N (-.f64 (*.f64 N -2) (-.f64 (neg.f64 N) (+.f64 N (log.f64 (/.f64 1 N))))))
(+.f64 (-.f64 (+.f64 1 (/.f64 1 N)) (+.f64 -1 (/.f64 1/2 (pow.f64 N 2)))) -2)
(+.f64 (/.f64 -1 N) (+.f64 1 (+.f64 (-.f64 (-.f64 (/.f64 2 N) 2) (/.f64 1/2 (pow.f64 N 2))) 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) (log.f64 N))
(+.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (neg.f64 (+.f64 N (log.f64 N))))
(+.f64 (-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))) (/.f64 1/2 (pow.f64 N 2)))

Outputs
(+.f64 (-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Calls

2 calls:

225.0ms	N
48.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

Error	Segments	Branch
0.2b	2	`N`
0.2b	2	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`

Compiler

Compiled 232 to 169 computations (27.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.6774764566871454e-8	4.898195275870876e-5

Compiler

Compiled 12 to 9 computations (25% saved)

regimes180.0ms (0.2%)

Counts

21 → 2

Calls

Call 1

Inputs
0
N
(/.f64 1 N)
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 (+.f64 N N) (neg.f64 (+.f64 N (log.f64 N))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (-.f64 -1 (/.f64 -1 N)) (+.f64 1 (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (-.f64 1 (/.f64 -1 N)) (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/2 N) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N)))
(-.f64 (-.f64 1 (/.f64 1/2 (pow.f64 N 2))) (+.f64 1 (/.f64 -1 N)))
(-.f64 (/.f64 1/2 N) (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/2 N)))
(-.f64 (/.f64 1 N) (+.f64 -1 (+.f64 1 (/.f64 1/2 (pow.f64 N 2)))))
(+.f64 (/.f64 N 4) (+.f64 (/.f64 N 4) (-.f64 (*.f64 N 1/2) (log.f64 N))))
(+.f64 N (-.f64 (*.f64 N -2) (-.f64 (neg.f64 N) (+.f64 N (log.f64 (/.f64 1 N))))))
(+.f64 (-.f64 (+.f64 1 (/.f64 1 N)) (+.f64 -1 (/.f64 1/2 (pow.f64 N 2)))) -2)
(+.f64 (/.f64 -1 N) (+.f64 1 (+.f64 (-.f64 (-.f64 (/.f64 2 N) 2) (/.f64 1/2 (pow.f64 N 2))) 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) (log.f64 N))
(+.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (neg.f64 (+.f64 N (log.f64 N))))

Outputs
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Calls

2 calls:

124.0ms	N
43.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

Error	Segments	Branch
0.2b	2	`N`
0.2b	2	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`

Compiler

Compiled 217 to 157 computations (27.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.6774764566871454e-8	4.898195275870876e-5

Compiler

Compiled 12 to 9 computations (25% saved)

regimes231.0ms (0.3%)

Counts

18 → 2

Calls

Call 1

Inputs
0
N
(/.f64 1 N)
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 (+.f64 N N) (neg.f64 (+.f64 N (log.f64 N))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (-.f64 -1 (/.f64 -1 N)) (+.f64 1 (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (-.f64 1 (/.f64 -1 N)) (+.f64 -1 (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/2 N) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/2 N)))
(-.f64 (-.f64 1 (/.f64 1/2 (pow.f64 N 2))) (+.f64 1 (/.f64 -1 N)))
(-.f64 (/.f64 1/2 N) (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/2 N)))
(-.f64 (/.f64 1 N) (+.f64 -1 (+.f64 1 (/.f64 1/2 (pow.f64 N 2)))))
(+.f64 (/.f64 N 4) (+.f64 (/.f64 N 4) (-.f64 (*.f64 N 1/2) (log.f64 N))))
(+.f64 N (-.f64 (*.f64 N -2) (-.f64 (neg.f64 N) (+.f64 N (log.f64 (/.f64 1 N))))))
(+.f64 (-.f64 (+.f64 1 (/.f64 1 N)) (+.f64 -1 (/.f64 1/2 (pow.f64 N 2)))) -2)
(+.f64 (/.f64 -1 N) (+.f64 1 (+.f64 (-.f64 (-.f64 (/.f64 2 N) 2) (/.f64 1/2 (pow.f64 N 2))) 1)))

Outputs
(+.f64 (+.f64 N N) (neg.f64 (+.f64 N (log.f64 N))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))

Calls

1 calls:

194.0ms

Results

Error	Segments	Branch
1.0b	2	`N`

Compiler

Compiled 180 to 135 computations (25% saved)

bsearch79.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
79.0ms	0.20054400993731974	130.74215409804157

Results

76.0ms

128×

body

256

valid

Compiler

Compiled 188 to 137 computations (27.1% saved)

regimes72.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

Inputs
0
N
(/.f64 1 N)
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 (+.f64 N N) (neg.f64 (+.f64 N (log.f64 N))))

Outputs
(+.f64 (+.f64 N N) (neg.f64 (+.f64 N (log.f64 N))))
(/.f64 1 N)

Calls

1 calls:

70.0ms

Results

Error	Segments	Branch
1.4b	2	`N`

Compiler

Compiled 30 to 16 computations (46.7% saved)

bsearch86.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
86.0ms	0.20054400993731974	130.74215409804157

Results

84.0ms

128×

body

256

valid

Compiler

Compiled 140 to 97 computations (30.7% saved)

regimes101.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

Inputs
0
N
(/.f64 1 N)
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))

Outputs
(-.f64 N (log.f64 N))
(/.f64 1 N)

Calls

1 calls:

75.0ms

Results

Error	Segments	Branch
1.4b	2	`N`

Compiler

Compiled 21 to 12 computations (42.9% saved)

bsearch33.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	0.20054400993731974	130.74215409804157

Results

31.0ms

128×

body

256

valid

Compiler

Compiled 100 to 73 computations (27% saved)

regimes71.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

Inputs
0
N
(/.f64 1 N)
(neg.f64 (log.f64 N))

Outputs
(neg.f64 (log.f64 N))
(/.f64 1 N)

Calls

1 calls:

23.0ms

Results

Error	Segments	Branch
1.8b	2	`N`

Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch240.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
240.0ms	0.20054400993731974	130.74215409804157

Results

40.0ms

128×

body

256

valid

Compiler

Compiled 92 to 73 computations (20.7% saved)

regimes8.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
0
N
(/.f64 1 N)

Outputs
(/.f64 1 N)

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
29.8b	1	`N`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes7.0ms (0%)

Accuracy

Total -1.0b remaining (-1.7%)

Threshold costs -1.0b (-1.7%)

Counts

2 → 1

Calls

Call 1

Inputs
0
N

Outputs
N

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
61.0b	1	`N`

Compiler

Compiled 5 to 3 computations (40% saved)

simplify68.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	914

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1152921504606847/2305843009213693952) (-.f64 (+.f64 (/.f64 1 N) (.f64 1 (/.f64 1/3 (pow.f64 N 3)))) (+.f64 (.f64 1 (/.f64 1/2 (pow.f64 N 2))) (.f64 1 (/.f64 1/4 (pow.f64 N 4))))) (-.f64 (.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1152921504606847/2305843009213693952) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1 N)) (/.f64 1/2 (pow.f64 N 2)))) (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(if (<=.f64 N 4500) (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/147573952589676412928) (-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2))) (+.f64 (+.f64 (log.f64 (+.f64 N 1)) (*.f64 (log.f64 N) -2)) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/147573952589676412928) (-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/18889465931478580854784) (+.f64 (-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/18889465931478580854784) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 N 8106479329266893/9007199254740992) (+.f64 (+.f64 N N) (neg.f64 (+.f64 N (log.f64 N)))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(if (<=.f64 N 1) (+.f64 (+.f64 N N) (neg.f64 (+.f64 N (log.f64 N)))) (/.f64 1 N))
(if (<=.f64 N 1) (-.f64 N (log.f64 N)) (/.f64 1 N))
(if (<=.f64 N 1170935903116329/2251799813685248) (neg.f64 (log.f64 N)) (/.f64 1 N))
(/.f64 1 N)
N
0

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1152921504606847/2305843009213693952) (-.f64 (+.f64 (/.f64 1 N) (.f64 1 (/.f64 1/3 (pow.f64 N 3)))) (+.f64 (.f64 1 (/.f64 1/2 (pow.f64 N 2))) (.f64 1 (/.f64 1/4 (pow.f64 N 4))))) (-.f64 (.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1152921504606847/2305843009213693952) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1 N)) (/.f64 1/2 (pow.f64 N 2)))) (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(if (<=.f64 N 4500) (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/147573952589676412928) (-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2))) (+.f64 (+.f64 (log.f64 (+.f64 N 1)) (*.f64 (log.f64 N) -2)) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/147573952589676412928) (-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/18889465931478580854784) (+.f64 (-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/18889465931478580854784) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 N 8106479329266893/9007199254740992) (+.f64 (+.f64 N N) (neg.f64 (+.f64 N (log.f64 N)))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(if (<=.f64 N 1) (+.f64 (+.f64 N N) (neg.f64 (+.f64 N (log.f64 N)))) (/.f64 1 N))
(if (<=.f64 N 1) (-.f64 N (log.f64 N)) (/.f64 1 N))
(if (<=.f64 N 1170935903116329/2251799813685248) (neg.f64 (log.f64 N)) (/.f64 1 N))
(/.f64 1 N)
N
0

Compiler

Compiled 334 to 252 computations (24.6% saved)

soundness420.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

810×	`rational_best-simplify-65`
778×	`rational_best-simplify-50`
772×	`rational_best-simplify-48`
706×	`rational_best-simplify-52`
554×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	276	3491
1	654	3253
2	1711	3125

Stop Event

1×	node limit

Compiler

Compiled 136 to 116 computations (14.7% saved)

end802.0ms (1%)

Compiler: Compiled 321 to 225 computations (29.9% saved)