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 (27.1%)

Results

995.0ms	2105×	body	1024	valid
903.0ms	4915×	body	256	valid
319.0ms	969×	body	512	valid
232.0ms	267×	body	2048	valid

Bogosity

preprocess13.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`rational_best-simplify-1`
2×	`rational_best-simplify-16`

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)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best-simplify-1`
2×	`rational_best-simplify-16`

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

28.6b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.6b	(-.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
✓	2.6b	(log.f64 (+.f64 N 1))
✓	2.7b	(-.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
0.0ms	N	@	-inf	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
0.0ms	N	@	inf	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
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))

rewrite180.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`rational_best-simplify-82`
860×	`rational_best-simplify-57`
672×	`rational_best-simplify-80`
628×	`rational_best-simplify-43`
560×	`rational_best-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	65	32
2	225	32
3	920	32
4	3968	32

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs
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Outputs

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

simplify336.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1246×	`rational_best-simplify-132`
1072×	`rational_best-simplify-44`
758×	`rational_best-simplify-80`
686×	`rational_best-simplify-43`
596×	`rational_best-simplify-78`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	185	2319
1	381	2303
2	1731	2143
3	2896	2143
4	4493	2143

Stop Event

1×	node limit

Counts

97 → 123

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

eval52.0ms (0.6%)

Compiler: Compiled 3037 to 2117 computations (30.3% saved)

prune24.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	117	6	123
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	117	7	124

Error

0.0b

Counts

124 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.8b	(/.f64 1 N)
▶	33.3b	(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
✓	28.6b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
▶	29.8b	(-.f64 N (log.f64 N))
▶	30.6b	(+.f64 N (+.f64 (neg.f64 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
	30.4b	(.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
▶	30.5b	(neg.f64 (log.f64 N))

Compiler

Compiled 134 to 98 computations (26.9% saved)

localize5.0ms (0.1%)

Compiler: Compiled 8 to 3 computations (62.5% saved)

localize2.0ms (0%)

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

localize4.0ms (0%)

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

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 27 computations (20.6% saved)

series2.0ms (0%)

Counts

3 → 15

Calls

9 calls:

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

rewrite117.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`rational_best-simplify-57`
794×	`rational_best-simplify-82`
736×	`rational_best-simplify-80`
540×	`rational_best-simplify-78`
528×	`rational_best-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	75	63
2	231	63
3	942	63
4	4139	63

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

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

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

simplify215.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1238×	`rational_best-simplify-2`
856×	`rational_best-simplify-47`
656×	`rational_best-simplify-43`
646×	`rational_best-simplify-44`
568×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	202	2945
1	462	2945
2	1228	2849
3	3472	2849
4	6211	2849

Stop Event

1×	node limit

Counts

115 → 120

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 37 to 22 computations (40.5% saved)

series11.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	N	@	0	(+.f64 (neg.f64 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))
2.0ms	N	@	inf	(+.f64 (neg.f64 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))
1.0ms	N	@	-inf	(+.f64 (neg.f64 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))
1.0ms	N	@	0	(+.f64 N (+.f64 (neg.f64 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
0.0ms	N	@	-inf	(+.f64 N (+.f64 (neg.f64 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))

rewrite98.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1164×	`rational_best-simplify-57`
602×	`rational_best-simplify-44`
572×	`rational_best-5`
570×	`rational_best-4`
570×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	60
1	93	60
2	306	60
3	1190	60
4	5233	60

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

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

simplify130.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1630×	`rational_best-simplify-80`
1528×	`rational_best-simplify-78`
1448×	`rational_best-simplify-94`
1312×	`rational_best-simplify-135`
936×	`rational_best-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	105	1954
1	218	1934
2	1039	1934
3	4689	1934

Stop Event

1×	node limit

Counts

66 → 64

Calls

Call 1

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

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

eval102.0ms (1.1%)

Compiler: Compiled 5810 to 4538 computations (21.9% saved)

prune26.0ms (0.3%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	182	2	184
Fresh	0	1	1
Picked	0	1	1
Done	1	4	5
Total	183	8	191

Error

0.0b

Counts

191 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.8b	(/.f64 1 N)
▶	33.3b	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓	28.6b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	29.8b	(-.f64 N (log.f64 N))
▶	33.3b	(+.f64 (+.f64 (*.f64 (/.f64 1 (pow.f64 N 2)) 1/2) (/.f64 1 N)) (neg.f64 (/.f64 1 (pow.f64 N 2))))
✓	30.6b	(+.f64 N (+.f64 (neg.f64 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
▶	30.4b	(.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
✓	30.5b	(neg.f64 (log.f64 N))

Compiler

Compiled 88 to 66 computations (25% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
✓	0.3b	(*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
	2.6b	(log.f64 (+.f64 N 1))
	2.7b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Compiler

Compiled 68 to 43 computations (36.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite141.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1430×	`rational_best-simplify-57`
866×	`rational_best-simplify-47`
720×	`rational_best-5`
718×	`rational_best-4`
718×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	68
1	93	68
2	324	68
3	1394	68
4	6164	68

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

Inputs

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

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

Outputs

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

simplify266.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1104×	`rational_best-simplify-132`
864×	`rational_best-simplify-44`
732×	`rational_best-simplify-129`
722×	`rational_best-simplify-1`
660×	`rational_best-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	294	5637
1	648	5569
2	1224	5549
3	3531	5415
4	7774	5415

Stop Event

1×	node limit

Counts

117 → 151

Calls

Call 1

Inputs
(pow.f64 (log.f64 N) 2)
(+.f64 (pow.f64 (log.f64 N) 2) (.f64 -2 (.f64 N (log.f64 N))))
(+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (.f64 -2 (.f64 N (log.f64 N))) (*.f64 (pow.f64 N 2) (+.f64 (log.f64 N) 1))))
(+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (.f64 -2 (.f64 N (log.f64 N))) (+.f64 (.f64 (pow.f64 N 2) (+.f64 (log.f64 N) 1)) (.f64 (pow.f64 N 3) (-.f64 (*.f64 -2/3 (log.f64 N)) 1)))))
(/.f64 1 (pow.f64 N 2))
(-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 N 4))) (/.f64 1 (pow.f64 N 2))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 N 4))) (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 5/6 (/.f64 1 (pow.f64 N 5))) (/.f64 1 (pow.f64 N 3))))
(/.f64 1 (pow.f64 N 2))
(-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 N 4))) (/.f64 1 (pow.f64 N 2))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 N 4))) (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 5/6 (/.f64 1 (pow.f64 N 5))) (/.f64 1 (pow.f64 N 3))))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 0)
(+.f64 0 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(-.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 0)
(-.f64 0 (neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 1)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2)) 2)
(neg.f64 (neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))
(fabs.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(fabs.f64 (neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))
(fabs.f64 (/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (fabs.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))
(fabs.f64 (/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (neg.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))
(fabs.f64 (.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (fabs.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (fabs.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))))
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(fabs.f64 (.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (/.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (fabs.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (fabs.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (/.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))))
(fabs.f64 (.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (fabs.f64 (.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))))
(fabs.f64 (.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))) (fabs.f64 (.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))))
(fabs.f64 (.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (/.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (fabs.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (fabs.f64 (.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))))
(fabs.f64 (.f64 (.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))))
(fabs.f64 (.f64 (.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))))
(fabs.f64 (.f64 (.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (fabs.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))))
(fabs.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (fabs.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))
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(fabs.f64 (/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (/.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (fabs.f64 (/.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))))
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(fabs.f64 (/.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (/.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) (*.f64 (fabs.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 2))))
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(fabs.f64 (/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (neg.f64 (fabs.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))))
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(fabs.f64 (-.f64 0 (.f64 (fabs.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))))
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(fabs.f64 (-.f64 0 (.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (fabs.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (/.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))))
(fabs.f64 (-.f64 0 (.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))) (fabs.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (/.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))))
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(fabs.f64 (-.f64 0 (.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))) (fabs.f64 (.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))))
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(fabs.f64 (-.f64 0 (.f64 (.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (fabs.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))))))
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(fabs.f64 (-.f64 0 (.f64 (fabs.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))))
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(fabs.f64 (-.f64 0 (.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (fabs.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))))
(+.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
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(+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)
(+.f64 0 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(+.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (-.f64 0 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(+.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (neg.f64 (*.f64 (log.f64 N) 2)))
(+.f64 (neg.f64 (*.f64 (log.f64 N) 2)) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (-.f64 (log.f64 (+.f64 N 1)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(-.f64 (log.f64 (+.f64 N 1)) (-.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (log.f64 (+.f64 N 1))))
(-.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)
(-.f64 0 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(-.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (*.f64 (log.f64 N) 2))
(-.f64 (.f64 (log.f64 (+.f64 N 1)) 4) (+.f64 (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (.f64 (log.f64 (+.f64 N 1)) 2)))
(-.f64 (+.f64 (+.f64 (log.f64 (+.f64 N 1)) (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 (-.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (neg.f64 (log.f64 (+.f64 N 1))))
(/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (/.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))
(/.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) 2)
(/.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 2) -2)
(neg.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))

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

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (/.f64 1 (pow.f64 N 2)) 1/2) (/.f64 1 N))
✓	0.2b	(*.f64 (/.f64 1 (pow.f64 N 2)) 1/2)
	0.2b	(/.f64 1 (pow.f64 N 2))
✓	17.7b	(+.f64 (+.f64 (*.f64 (/.f64 1 (pow.f64 N 2)) 1/2) (/.f64 1 N)) (neg.f64 (/.f64 1 (pow.f64 N 2))))

Compiler

Compiled 58 to 47 computations (19% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite109.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1250×	`rational_best-simplify-57`
678×	`rational_best-simplify-44`
590×	`rational_best-5`
588×	`rational_best-4`
588×	`rational_best-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	103
1	102	103
2	320	81
3	1271	81
4	5595	81

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

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

Outputs

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

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

simplify196.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1046×	`rational_best-simplify-80`
956×	`rational_best-simplify-78`
940×	`rational_best-simplify-24`
868×	`rational_best-simplify-94`
800×	`rational_best-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	2297
1	216	2297
2	985	2297
3	3538	2297
4	6765	2297

Stop Event

1×	node limit

Counts

87 → 62

Calls

Call 1

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

localize11.0ms (0.1%)

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)

series0.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite342.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1862×	`rational_best-5`
1860×	`rational_best-4`
1860×	`rational_best-2`
1860×	`rational_best-3`
1860×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	67	38
2	202	38
3	808	38
4	3539	38

Stop Event

1×	node limit

Counts

2 → 42

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

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

simplify167.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

814×	`rational_best-simplify-80`
788×	`rational_best-simplify-24`
788×	`rational_best-simplify-41`
782×	`rational_best-simplify-33`
780×	`rational_best-simplify-29`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	91	1332
1	172	1244
2	625	1244
3	2562	1244
4	5557	1244

Stop Event

1×	node limit

Counts

54 → 49

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

eval485.0ms (5.3%)

Compiler: Compiled 30936 to 22624 computations (26.9% saved)

prune323.0ms (3.5%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	773	2	775
Fresh	0	0	0
Picked	0	1	1
Done	1	6	7
Total	774	9	783

Error

0.0b

Counts

783 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.8b	(/.f64 1 N)
✓	33.3b	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓	28.6b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	29.8b	(-.f64 N (log.f64 N))
▶	33.3b	(+.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) (neg.f64 (/.f64 1 (pow.f64 N 2))))
✓	30.6b	(+.f64 N (+.f64 (neg.f64 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
✓	30.4b	(.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
▶	30.5b	(.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))
✓	30.5b	(neg.f64 (log.f64 N))

Compiler

Compiled 130 to 94 computations (27.7% saved)

localize131.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
✓	0.3b	(.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))
	2.6b	(log.f64 (+.f64 N 1))
	2.7b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Compiler

Compiled 144 to 92 computations (36.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

inf

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

0.0ms

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

0.0ms

-inf

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

rewrite256.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`rational_best-simplify-57`
902×	`rational_best-simplify-47`
736×	`rational_best-5`
734×	`rational_best-4`
734×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	47
1	104	47
2	343	47
3	1439	47
4	6389	47

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

Inputs

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

Outputs

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simplify345.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1100×	`rational_best-simplify-80`
1016×	`rational_best-simplify-78`
744×	`rational_best-simplify-44`
706×	`rational_best-simplify-132`
636×	`rational_best-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	233	4412
1	534	4412
2	1031	4412
3	2694	4408
4	4629	4354
5	7814	4354

Stop Event

1×	node limit

Counts

80 → 105

Calls

Call 1

Inputs
(pow.f64 (log.f64 N) 2)
(+.f64 (pow.f64 (log.f64 N) 2) (.f64 -2 (.f64 N (log.f64 N))))
(+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (.f64 -2 (.f64 N (log.f64 N))) (*.f64 (pow.f64 N 2) (+.f64 (log.f64 N) 1))))
(+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (.f64 -2 (.f64 N (log.f64 N))) (+.f64 (.f64 (pow.f64 N 2) (+.f64 (log.f64 N) 1)) (.f64 (pow.f64 N 3) (-.f64 (*.f64 -2/3 (log.f64 N)) 1)))))
(/.f64 1 (pow.f64 N 2))
(-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 N 4))) (/.f64 1 (pow.f64 N 2))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 N 4))) (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 5/6 (/.f64 1 (pow.f64 N 5))) (/.f64 1 (pow.f64 N 3))))
(/.f64 1 (pow.f64 N 2))
(-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 N 4))) (/.f64 1 (pow.f64 N 2))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 N 4))) (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 5/6 (/.f64 1 (pow.f64 N 5))) (/.f64 1 (pow.f64 N 3))))
(+.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 0)
(+.f64 0 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(-.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 0)
(-.f64 0 (neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 1)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2)) 2)
(neg.f64 (neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))
(fabs.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(fabs.f64 (neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))
(fabs.f64 (/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (fabs.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))
(fabs.f64 (/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (neg.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))
(fabs.f64 (.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (fabs.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))
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(fabs.f64 (-.f64 0 (.f64 (.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))))
(fabs.f64 (-.f64 0 (.f64 (.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))))
(fabs.f64 (-.f64 0 (.f64 (.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (fabs.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))))))
(fabs.f64 (-.f64 0 (.f64 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) (/.f64 -1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))))
(fabs.f64 (-.f64 0 (.f64 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) (/.f64 -1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (fabs.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))))

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))
	0.2b	(/.f64 1 (pow.f64 N 2))
	0.2b	(/.f64 1/2 (pow.f64 N 2))
✓	17.7b	(+.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) (neg.f64 (/.f64 1 (pow.f64 N 2))))

Compiler

Compiled 52 to 41 computations (21.2% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite278.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1200×	`rational_best-simplify-57`
598×	`rational_best-5`
596×	`rational_best-4`
596×	`rational_best-2`
596×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	72
1	101	72
2	315	72
3	1235	72
4	5461	72

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

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simplify233.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1518×	`rational_best-simplify-132`
1246×	`rational_best-simplify-54`
920×	`rational_best-simplify-2`
814×	`rational_best-simplify-24`
792×	`rational_best-simplify-78`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	2124
1	187	2124
2	1020	2124
3	3502	2124
4	7310	2124

Stop Event

1×	node limit

Counts

66 → 50

Calls

Call 1

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

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

eval1.1s (12.6%)

Compiler: Compiled 54693 to 37900 computations (30.7% saved)

prune415.0ms (4.6%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	958	1	959
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	958	10	968

Error

0.0b

Counts

968 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.8b	(/.f64 1 N)
✓	33.3b	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓	28.6b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	29.8b	(-.f64 N (log.f64 N))
✓	33.3b	(+.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) (neg.f64 (/.f64 1 (pow.f64 N 2))))
✓	30.6b	(+.f64 N (+.f64 (neg.f64 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
✓	30.4b	(.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
✓	30.5b	(.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))
	30.5b	(.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (.f64 (/.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))))
✓	30.5b	(neg.f64 (log.f64 N))

Compiler

Compiled 192 to 136 computations (29.2% saved)

regimes170.0ms (1.9%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

160.0ms	N
6.0ms	(-.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 222 to 151 computations (32% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5082158572331537e-12	0.055908276342742536

Compiler

Compiled 12 to 9 computations (25% saved)

regimes17.0ms (0.2%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	N
5.0ms	(-.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 59 to 39 computations (33.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5082158572331537e-12	0.055908276342742536

Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
0.3b	2	`N`

Compiler

Compiled 33 to 23 computations (30.3% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	0.0006498807109434951	17.39109823823189

Results

19.0ms

128×

body

256

valid

Compiler

Compiled 148 to 113 computations (23.6% saved)

regimes7.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
0.4b	2	`N`

Compiler

Compiled 13 to 7 computations (46.2% saved)

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	0.0006498807109434951	17.39109823823189

Results

20.0ms

128×

body

256

valid

Compiler

Compiled 100 to 73 computations (27% saved)

regimes6.0ms (0.1%)

Accuracy

Total -60.8b remaining (-8642.3%)

Threshold costs -60.8b (-8642.3%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
0.7b	2	`N`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	0.0006498807109434951	17.39109823823189

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 92 to 73 computations (20.7% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	276

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 6189700196426901/1237940039285380274899124224) (+.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) (neg.f64 (/.f64 1 (pow.f64 N 2)))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 6189700196426901/1237940039285380274899124224) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 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 2476979795053773/4503599627370496) (neg.f64 (log.f64 N)) (/.f64 1 N))
(/.f64 1 N)

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 6189700196426901/1237940039285380274899124224) (+.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) (neg.f64 (/.f64 1 (pow.f64 N 2)))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 6189700196426901/1237940039285380274899124224) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 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 2476979795053773/4503599627370496) (neg.f64 (log.f64 N)) (/.f64 1 N))
(/.f64 1 N)

Compiler

Compiled 106 to 78 computations (26.4% saved)

soundness0.0ms (0%)

end56.0ms (0.6%)

Compiler: Compiled 101 to 68 computations (32.7% saved)

Details

analyze3.0ms (0%)

sample2.5s (27.1%)

preprocess13.0ms (0.1%)

simplify14.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.1%)

series2.0ms (0%)

rewrite180.0ms (2%)

simplify336.0ms (3.7%)

eval52.0ms (0.6%)

prune24.0ms (0.3%)

localize5.0ms (0.1%)

localize2.0ms (0%)

localize4.0ms (0%)

localize18.0ms (0.2%)

series2.0ms (0%)

rewrite117.0ms (1.3%)

simplify215.0ms (2.4%)

localize17.0ms (0.2%)

series11.0ms (0.1%)

rewrite98.0ms (1.1%)

simplify130.0ms (1.4%)

eval102.0ms (1.1%)

prune26.0ms (0.3%)

localize28.0ms (0.3%)

series1.0ms (0%)

rewrite141.0ms (1.5%)

simplify266.0ms (2.9%)

localize23.0ms (0.3%)

series1.0ms (0%)

rewrite109.0ms (1.2%)

simplify196.0ms (2.2%)

localize11.0ms (0.1%)

series0.0ms (0%)

rewrite342.0ms (3.8%)

simplify167.0ms (1.8%)

eval485.0ms (5.3%)

prune323.0ms (3.5%)

localize131.0ms (1.4%)

series0.0ms (0%)

rewrite256.0ms (2.8%)

simplify345.0ms (3.8%)

localize20.0ms (0.2%)

series0.0ms (0%)

rewrite278.0ms (3.1%)

simplify233.0ms (2.6%)

eval1.1s (12.6%)

prune415.0ms (4.6%)

regimes170.0ms (1.9%)

bsearch0.0ms (0%)

regimes17.0ms (0.2%)

bsearch0.0ms (0%)

regimes9.0ms (0.1%)

bsearch20.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch22.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch15.0ms (0.2%)

simplify13.0ms (0.1%)

soundness0.0ms (0%)

end56.0ms (0.6%)

Profiling