Details

analyze3.0ms (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)

sample2.5s (34.8%)

Results

1.2s	2068×	body	1024	valid
721.0ms	4874×	body	256	valid
241.0ms	1050×	body	512	valid
173.0ms	264×	body	2048	valid

Bogosity

preprocess6.0ms (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)

simplify19.0ms (0.3%)

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))

eval0.0ms (0%)

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

32.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.3b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.1b	(log.f64 (+.f64 N 1))
✓	2.2b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite89.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`rational_best-simplify-55`
982×	`rational_best-simplify-66`
714×	`rational_best-simplify-57`
714×	`rational_best-simplify-49`
690×	`rational_best-simplify-58`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	58	32
2	128	32
3	419	32
4	1612	32

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

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

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

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

simplify204.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1032×	`rational_best-simplify-1`
936×	`rational_best-simplify-3`
814×	`rational_best-simplify-38`
720×	`rational_best-simplify-39`
504×	`rational_best-simplify-62`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	2550
1	483	2352
2	1317	2326
3	6404	2326

Stop Event

1×	node limit

Counts

110 → 139

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

eval38.0ms (0.5%)

Compiler: Compiled 1959 to 1368 computations (30.2% saved)

prune23.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	132	7	139
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	132	8	140

Error

0.0b

Counts

140 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.2b	(/.f64 1 N)
▶	29.5b	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
▶	29.0b	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
	29.4b	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
✓	32.3b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
▶	33.7b	(-.f64 N (log.f64 N))
	32.4b	(+.f64 (-.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1))) (*.f64 (log.f64 (+.f64 N 1)) 2))
▶	34.6b	(neg.f64 (log.f64 N))

Compiler

Compiled 162 to 128 computations (21% saved)

localize3.0ms (0%)

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

localize4.0ms (0.1%)

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

localize11.0ms (0.2%)

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)

series7.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	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))

rewrite122.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

732×	`rational_best-simplify-82`
654×	`rational_best-simplify-55`
652×	`rational_best-simplify-66`
604×	`rational_best-simplify-47`
548×	`rational_best-simplify-76`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	38	11
2	93	11
3	311	11
4	1146	11

Stop Event

1×	node limit

Counts

1 → 66

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

Outputs

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

simplify212.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1212×	`rational_best-simplify-1`
876×	`rational_best-simplify-3`
756×	`rational_best-simplify-62`
710×	`rational_best-simplify-51`
568×	`rational_best-simplify-61`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	1402
1	432	1378
2	1312	1110
3	6417	1098

Stop Event

1×	node limit

Counts

78 → 88

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

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓	0.2b	(/.f64 1/2 (pow.f64 N 2))

Compiler

Compiled 25 to 19 computations (24% saved)

series1.0ms (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	@	0	(-.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)))
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)))

rewrite79.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

824×	`rational_best-simplify-55`
782×	`rational_best-simplify-66`
752×	`rational_best-simplify-47`
680×	`rational_best-simplify-61`
612×	`rational_best-simplify-63`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	67	38
2	144	38
3	448	38
4	1718	38

Stop Event

1×	node limit

Counts

2 → 75

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

simplify207.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

884×	`rational_best-simplify-47`
846×	`rational_best-simplify-68`
762×	`rational_best-simplify-71`
688×	`rational_best-simplify-72`
666×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	1953
1	396	1941
2	1105	1923
3	5251	1923

Stop Event

1×	node limit

Counts

87 → 84

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

localize60.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))
	0.2b	(/.f64 1/2 (pow.f64 N 2))
✓	0.5b	(/.f64 1/3 (pow.f64 N 3))
✓	14.8b	(-.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)

series2.0ms (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	@	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))

rewrite117.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1500×	`rational_best-simplify-65`
930×	`rational_best-2`
930×	`rational_best-1`
928×	`rational_best-4`
928×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	81
1	102	81
2	211	81
3	619	81
4	2533	81

Stop Event

1×	node limit

Counts

3 → 142

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

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simplify321.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1018×	`rational_best-simplify-74`
922×	`rational_best-simplify-3`
868×	`rational_best-simplify-63`
848×	`rational_best-simplify-51`
800×	`rational_best-simplify-59`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	281	4848
1	735	4832
2	2476	4816

Stop Event

1×	node limit

Counts

166 → 168

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

eval281.0ms (3.9%)

Compiler: Compiled 6263 to 4807 computations (23.2% saved)

prune54.0ms (0.8%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	359	2	361
Fresh	1	1	2
Picked	0	1	1
Done	0	5	5
Total	360	9	369

Error

0.0b

Counts

369 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.2b	(/.f64 1 N)
✓	29.5b	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓	29.0b	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
▶	29.4b	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
✓	32.3b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	33.7b	(-.f64 N (log.f64 N))
▶	33.7b	(+.f64 (-.f64 (neg.f64 N) (log.f64 N)) (+.f64 N N))
✓	34.6b	(neg.f64 (log.f64 N))
	61.2b	N

Compiler

Compiled 81 to 61 computations (24.7% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 6 computations (73.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite141.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

826×	`rational_best-simplify-87`
818×	`rational_best-4`
818×	`rational_best-2`
818×	`rational_best-3`
818×	`rational_best-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	63	42
2	160	26
3	572	26
4	2507	26

Stop Event

1×	node limit

Counts

2 → 148

Calls

Call 1

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

Outputs

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

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

simplify101.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1522×	`rational_best-simplify-55`
1204×	`rational_best-simplify-47`
1052×	`rational_best-simplify-62`
1004×	`rational_best-simplify-58`
846×	`rational_best-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	320	3418
1	837	3132
2	2546	3050

Stop Event

1×	node limit

Counts

172 → 209

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

localize61.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 1/2 (pow.f64 N 2))
✓	0.2b	(/.f64 1/4 (pow.f64 N 4))
	0.5b	(/.f64 1/3 (pow.f64 N 3))
✓	21.5b	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))

Compiler

Compiled 77 to 61 computations (20.8% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	N	@	0	(/.f64 1/4 (pow.f64 N 4))
0.0ms	N	@	0	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
0.0ms	N	@	inf	(/.f64 1/4 (pow.f64 N 4))
0.0ms	N	@	inf	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
0.0ms	N	@	-inf	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))

rewrite148.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1874×	`rational_best-2`
1874×	`rational_best-1`
1870×	`rational_best-4`
1870×	`rational_best-3`
1870×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	74
1	142	74
2	314	74
3	980	74
4	4758	74

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs

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

simplify182.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

966×	`rational_best-simplify-3`
864×	`rational_best-simplify-61`
688×	`rational_best-simplify-1`
624×	`rational_best-simplify-77`
610×	`rational_best-simplify-68`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	212	4598
1	618	4598
2	1842	4574
3	6133	4574

Stop Event

1×	node limit

Counts

86 → 110

Calls

Call 1

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

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

eval322.0ms (4.5%)

Compiler: Compiled 7605 to 5178 computations (31.9% saved)

prune195.0ms (2.7%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	383	2	385
Fresh	0	1	1
Picked	0	1	1
Done	1	6	7
Total	384	10	394

Error

0.0b

Counts

394 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.2b	(/.f64 1 N)
✓	29.5b	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
▶	33.7b	(-.f64 (-.f64 (+.f64 N N) (log.f64 N)) N)
✓	29.0b	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
✓	29.4b	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
▶	33.7b	(-.f64 (.f64 N -1/2) (-.f64 (log.f64 N) (.f64 N 3/2)))
✓	32.3b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	33.7b	(-.f64 N (log.f64 N))
✓	34.6b	(neg.f64 (log.f64 N))
	61.2b	N

Compiler

Compiled 91 to 68 computations (25.3% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log.f64 N) (*.f64 N 3/2))
✓	0.4b	(-.f64 (.f64 N -1/2) (-.f64 (log.f64 N) (.f64 N 3/2)))

Compiler

Compiled 28 to 17 computations (39.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite143.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	72	46
2	173	46
3	624	28
4	2695	28

Stop Event

1×	node limit

Counts

2 → 131

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 N) (*.f64 -3/2 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 N) (*.f64 -3/2 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (log.f64 N) (*.f64 -3/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 N) 2) (-.f64 (*.f64 -3/2 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3/2 N) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 N -3) (+.f64 (log.f64 N) (*.f64 3/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 N) 1/2) (*.f64 N 3/4)) (-.f64 (*.f64 (log.f64 N) 1/2) (*.f64 N 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 N) 1/2) (+.f64 (*.f64 -3/2 N) (*.f64 (log.f64 N) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 -3/2 N) (*.f64 (log.f64 N) 1/2)) (*.f64 (log.f64 N) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 N -3) 4) (/.f64 (-.f64 (*.f64 -3/2 N) (*.f64 (log.f64 N) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 N) (*.f64 3/2 N)) (*.f64 N -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 N) (*.f64 N 3/4)) (neg.f64 (*.f64 N 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 N 3/4)) (-.f64 (log.f64 N) (*.f64 N 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (*.f64 -3/2 N) (*.f64 (log.f64 N) -2)) 2) (/.f64 (*.f64 N -3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 -3/2 N) (log.f64 N)) (*.f64 (log.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 N) (*.f64 -3/2 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 N) (*.f64 -3/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (*.f64 (log.f64 N) 1/2) (*.f64 N 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (log.f64 N) 2) (*.f64 N -3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 3/2 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 3/2 N) (log.f64 N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (log.f64 N) 2) (*.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (-.f64 (*.f64 N 3/4) (*.f64 (log.f64 N) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (+.f64 (log.f64 N) (*.f64 -3/2 N)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (log.f64 N) 1/2) (*.f64 N 3/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 N 3/4) (*.f64 (log.f64 N) 1/2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 3/2 N) (log.f64 N)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (log.f64 N) (*.f64 -3/2 N)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (log.f64 N) -2) (neg.f64 (*.f64 N 3/4))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (-.f64 (*.f64 (log.f64 N) 1/2) (*.f64 N 3/4)) (/.f64 (+.f64 (log.f64 N) (*.f64 -3/2 N)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (log.f64 N) -2) (+.f64 (*.f64 -3/2 N) (*.f64 (log.f64 N) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (log.f64 N) -2) (-.f64 (*.f64 -3/2 N) (log.f64 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 N 3) (+.f64 (log.f64 N) (*.f64 3/2 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 (*.f64 N 3/4)) (-.f64 (*.f64 N 3/4) (log.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (*.f64 3/2 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 N -3) (-.f64 (*.f64 -3/2 N) (log.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 N) (*.f64 -3/2 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (log.f64 N) 2) (*.f64 N -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 3/2 N) (log.f64 N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 N) 4) (*.f64 N 6)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 N 3) (*.f64 (log.f64 N) -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 (log.f64 N) 4) (*.f64 N 6)) (-.f64 (*.f64 (log.f64 N) 4) (*.f64 N 6))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 N 6) (*.f64 (log.f64 N) 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (-.f64 (*.f64 (log.f64 N) 4) (*.f64 N 6)) (-.f64 (*.f64 (log.f64 N) 4) (*.f64 N 6))) (+.f64 (-.f64 (*.f64 (log.f64 N) 4) (*.f64 N 6)) (-.f64 (*.f64 (log.f64 N) 4) (*.f64 N 6)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 N 6) (*.f64 (log.f64 N) 4)) (-.f64 (*.f64 N 6) (*.f64 (log.f64 N) 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (log.f64 N) 4) (*.f64 N 6)) 2) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 (*.f64 3/2 N) (log.f64 N)) 2) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (log.f64 N) 4) (*.f64 N 6)) -1) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (log.f64 N) 4) (*.f64 N 6))) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 N) (*.f64 -3/2 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 3/2 N) (log.f64 N)))))))

simplify220.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

874×	`rational_best-simplify-51`
800×	`rational_best-simplify-1`
784×	`rational_best-simplify-47`
766×	`rational_best-simplify-62`
684×	`rational_best-simplify-55`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	3577
1	724	3203
2	2253	3093

Stop Event

1×	node limit

Counts

155 → 183

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 5 computations (76.2% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite234.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2006×	`rational_best-1`
920×	`rational_best-4`
920×	`rational_best-2`
920×	`rational_best-3`
920×	`exponential-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	54	23
2	153	11
3	620	11
4	2925	11
5	7536	11

Stop Event

1×	node limit

Counts

1 → 89

Calls

Call 1

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

Outputs

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

simplify84.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

628×	`rational_best-simplify-73`
580×	`rational_best-simplify-55`
544×	`rational_best-simplify-79`
506×	`rational_best-simplify-62`
472×	`rational_best-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	198	1839
1	489	1821
2	1449	1477

Stop Event

1×	node limit

Counts

101 → 105

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

eval83.0ms (1.2%)

Compiler: Compiled 3506 to 2051 computations (41.5% saved)

prune118.0ms (1.7%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	287	1	288
Fresh	0	1	1
Picked	0	1	1
Done	0	8	8
Total	287	11	298

Error

0.0b

Counts

298 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.2b	(/.f64 1 N)
✓	29.5b	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓	33.7b	(-.f64 (-.f64 (+.f64 N N) (log.f64 N)) N)
✓	29.0b	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
✓	29.4b	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
✓	33.7b	(-.f64 (.f64 N -1/2) (-.f64 (log.f64 N) (.f64 N 3/2)))
✓	32.3b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	33.7b	(-.f64 N (log.f64 N))
	33.7b	(+.f64 (+.f64 (-.f64 (.f64 -1/2 N) (log.f64 N)) (.f64 N 3/4)) (*.f64 N 3/4))
✓	34.6b	(neg.f64 (log.f64 N))
	61.2b	N

Compiler

Compiled 106 to 79 computations (25.5% saved)

regimes26.0ms (0.4%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	N
9.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

Error	Segments	Branch
0.0b	2	`N`
0.0b	2	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`

Compiler

Compiled 130 to 84 computations (35.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0430996650944167e-5	1.9558497614978378

Compiler

Compiled 12 to 9 computations (25% saved)

regimes154.0ms (2.2%)

Counts

12 → 2

Calls

Call 1

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

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:

138.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
12.0ms	N

Results

Error	Segments	Branch
0.0b	2	`N`
0.0b	2	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`

Compiler

Compiled 109 to 67 computations (38.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0430996650944167e-5	1.9558497614978378

Compiler

Compiled 12 to 9 computations (25% saved)

regimes23.0ms (0.3%)

Counts

10 → 2

Calls

Call 1

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

11.0ms	N
10.0ms	(-.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 79 to 45 computations (43% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.106670310946356e-11	2.0430996650944167e-5

Compiler

Compiled 12 to 9 computations (25% saved)

regimes17.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
0.6b	2	`N`

Compiler

Compiled 64 to 35 computations (45.3% saved)

bsearch22.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	0.16474670252065224	48944.73831169587

Results

20.0ms

144×

body

256

valid

Compiler

Compiled 255 to 198 computations (22.4% saved)

regimes15.0ms (0.2%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
0.6b	2	`N`

Compiler

Compiled 50 to 26 computations (48% saved)

bsearch25.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	0.16474670252065224	48944.73831169587

Results

22.0ms

144×

body

256

valid

Compiler

Compiled 165 to 126 computations (23.6% saved)

regimes10.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
0.8b	2	`N`

Compiler

Compiled 31 to 13 computations (58.1% saved)

bsearch18.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	0.16474670252065224	48944.73831169587

Results

16.0ms

144×

body

256

valid

Compiler

Compiled 111 to 81 computations (27% saved)

regimes9.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
1.2b	2	`N`

Compiler

Compiled 10 to 6 computations (40% saved)

bsearch18.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	0.16474670252065224	48944.73831169587

Results

16.0ms

144×

body

256

valid

Compiler

Compiled 102 to 81 computations (20.6% saved)

regimes4.0ms (0.1%)

Accuracy

Total -33.0b remaining (-116.7%)

Threshold costs -33.0b (-116.7%)

Counts

2 → 1

Calls

Call 1

Inputs
N
(/.f64 1 N)

Outputs
(/.f64 1 N)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
28.2b	1	`N`

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	459

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/147573952589676412928) (-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/147573952589676412928) (-.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)) 6189700196426901/309485009821345068724781056) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 N 8196551321814303/9007199254740992) (+.f64 (+.f64 (-.f64 (.f64 -1/2 N) (log.f64 N)) (.f64 N 3/4)) (*.f64 N 3/4)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(if (<=.f64 N 8196551321814303/9007199254740992) (-.f64 N (log.f64 N)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(if (<=.f64 N 1) (-.f64 N (log.f64 N)) (/.f64 1 N))
(if (<=.f64 N 607985949695017/1125899906842624) (neg.f64 (log.f64 N)) (/.f64 1 N))
(/.f64 1 N)
N

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/147573952589676412928) (-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/147573952589676412928) (-.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)) 6189700196426901/309485009821345068724781056) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 N 8196551321814303/9007199254740992) (+.f64 (+.f64 (-.f64 (.f64 -1/2 N) (log.f64 N)) (.f64 N 3/4)) (*.f64 N 3/4)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(if (<=.f64 N 8196551321814303/9007199254740992) (-.f64 N (log.f64 N)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(if (<=.f64 N 1) (-.f64 N (log.f64 N)) (/.f64 1 N))
(if (<=.f64 N 607985949695017/1125899906842624) (neg.f64 (log.f64 N)) (/.f64 1 N))
(/.f64 1 N)
N

Compiler

Compiled 174 to 129 computations (25.9% saved)

soundness247.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1032×	`rational_best-simplify-1`
936×	`rational_best-simplify-3`
814×	`rational_best-simplify-38`
720×	`rational_best-simplify-39`
504×	`rational_best-simplify-62`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	2550
1	483	2352
2	1317	2326
3	6404	2326

Stop Event

1×	node limit

Compiler

Compiled 197 to 165 computations (16.2% saved)

end88.0ms (1.2%)

Compiler: Compiled 166 to 114 computations (31.3% saved)

Details

analyze3.0ms (0%)

sample2.5s (34.8%)

preprocess6.0ms (0.1%)

simplify19.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.1%)

series2.0ms (0%)

rewrite89.0ms (1.3%)

simplify204.0ms (2.9%)

eval38.0ms (0.5%)

prune23.0ms (0.3%)

localize3.0ms (0%)

localize4.0ms (0.1%)

localize11.0ms (0.2%)

series7.0ms (0.1%)

rewrite122.0ms (1.7%)

simplify212.0ms (3%)

localize12.0ms (0.2%)

series1.0ms (0%)

rewrite79.0ms (1.1%)

simplify207.0ms (2.9%)

localize60.0ms (0.8%)

series2.0ms (0%)

rewrite117.0ms (1.6%)

simplify321.0ms (4.5%)

eval281.0ms (3.9%)

prune54.0ms (0.8%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite141.0ms (2%)

simplify101.0ms (1.4%)

localize61.0ms (0.9%)

series1.0ms (0%)

rewrite148.0ms (2.1%)

simplify182.0ms (2.6%)

eval322.0ms (4.5%)

prune195.0ms (2.7%)

localize12.0ms (0.2%)

series1.0ms (0%)

rewrite143.0ms (2%)

simplify220.0ms (3.1%)

localize9.0ms (0.1%)

series0.0ms (0%)

rewrite234.0ms (3.3%)

simplify84.0ms (1.2%)

eval83.0ms (1.2%)

prune118.0ms (1.7%)

regimes26.0ms (0.4%)

bsearch0.0ms (0%)

regimes154.0ms (2.2%)

bsearch0.0ms (0%)

regimes23.0ms (0.3%)

bsearch0.0ms (0%)

regimes17.0ms (0.2%)

bsearch22.0ms (0.3%)

regimes15.0ms (0.2%)

bsearch25.0ms (0.3%)

regimes10.0ms (0.1%)

bsearch18.0ms (0.3%)

regimes9.0ms (0.1%)

bsearch18.0ms (0.3%)

regimes4.0ms (0.1%)

simplify15.0ms (0.2%)

soundness247.0ms (3.5%)

end88.0ms (1.2%)

Profiling