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)

sample4.1s (53.4%)

Results

2.4s	4908×	body	256	valid
1.0s	2084×	body	1024	valid
407.0ms	1015×	body	512	valid
171.0ms	249×	body	2048	valid

Bogosity

preprocess10.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`rational.json-simplify-17`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	10	21
2	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)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`rational.json-simplify-17`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	10	21
2	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

29.8b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.8b	(-.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
✓	2.3b	(log.f64 (+.f64 N 1))
✓	3.3b	(-.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	@	0	(log.f64 (+.f64 N 1))

rewrite106.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1622×	`rational.json-1`
1622×	`rational.json-2`
1622×	`rational.json-3`
1538×	`exponential.json-3`
1538×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	66	32
2	145	32
3	282	32
4	532	32
5	1197	32
6	2858	32
7	4411	32
8	6636	32

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 -1 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (-.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 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (-.f64 (log.f64 (sqrt.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)) 1/2) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 (+.f64 N 1))) (-.f64 -1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (+.f64 N 1)) -1) (-.f64 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 -1 (log.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) -1) (+.f64 1 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2)) (+.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (log.f64 N)) (+.f64 1 (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)) (log.f64 (sqrt.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)))) (.f64 2 (.f64 2 (.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 N 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.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 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 2 (log.f64 (sqrt.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (log.f64 (+.f64 N 1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (+.f64 N 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (pow.f64 (+.f64 N 1) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (log.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (+.f64 N 1)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (log.f64 (pow.f64 (+.f64 N 1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (+.f64 N 1)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 N 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (+.f64 N 1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 (+.f64 N 1) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (+.f64 N 1)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 8)))) (.f64 2 (.f64 2 (.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 N 1)) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 -1 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (-.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 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (-.f64 (log.f64 (sqrt.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)) 1/2) (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 (+.f64 N 1))) (-.f64 -1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (+.f64 N 1)) -1) (-.f64 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 -1 (log.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) -1) (+.f64 1 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2)) (+.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (log.f64 N)) (+.f64 1 (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)) (log.f64 (sqrt.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 N 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.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 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 2 (log.f64 (sqrt.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (log.f64 (+.f64 N 1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 (+.f64 N 1) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 N 1)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (log.f64 (pow.f64 (+.f64 N 1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 N 1)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 N 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 (+.f64 N 1) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 N 1)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 N 1)) 1)))))

simplify314.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1962×	`rational.json-simplify-35`
1930×	`rational.json-simplify-1`
1028×	`rational.json-simplify-52`
1024×	`rational.json-simplify-2`
1022×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	2939
1	401	2923
2	988	2311
3	2271	2311
4	3645	2311
5	4592	2311
6	5670	2311
7	6993	2311
8	7524	2311
9	7785	2311
10	7800	2311

Stop Event

1×	node limit

Counts

99 → 135

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 1 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 -1 (log.f64 N))))
(+.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)
(+.f64 0 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(+.f64 -1 (+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(+.f64 (+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) -1)
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)))
(+.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))
(+.f64 (-.f64 1 (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1))
(+.f64 -2 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))
(+.f64 (+.f64 1 (log.f64 (+.f64 N 1))) (-.f64 -1 (log.f64 N)))
(+.f64 (+.f64 (log.f64 (+.f64 N 1)) -1) (-.f64 1 (log.f64 N)))
(+.f64 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 -1 (log.f64 N))) 1)
(+.f64 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) -2)
(+.f64 (+.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) -1) (+.f64 1 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2)))
(+.f64 (+.f64 1 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2)) (+.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) -1))
(+.f64 (-.f64 -1 (log.f64 N)) (+.f64 1 (log.f64 (+.f64 N 1))))
(+.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)) (log.f64 (sqrt.f64 (+.f64 N 1))))
(*.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))
(*.f64 -1 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(.f64 -1 (.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) 2))
(.f64 4 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/4))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) 1/2)
(*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8) 1/8)
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) -1/2)
(.f64 1/4 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) 2)
(*.f64 -2 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2))
(*.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) -2)
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/4) 4)
(/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) 2)
(/.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8) 8)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)) 16)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4) -4)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))) 32)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4)) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4))) -16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))))) 128)
(pow.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(neg.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(+.f64 (log.f64 (+.f64 N 1)) 0)
(+.f64 0 (log.f64 (+.f64 N 1)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))))
(-.f64 (log.f64 (+.f64 N 1)) 0)
(*.f64 1 (log.f64 (+.f64 N 1)))
(*.f64 (log.f64 (+.f64 N 1)) 1)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 N 1))))
(.f64 4 (.f64 (log.f64 (+.f64 N 1)) 1/4))
(.f64 (.f64 (log.f64 (+.f64 N 1)) 2) 1/2)
(*.f64 (log.f64 (pow.f64 (+.f64 N 1) 4)) 1/4)
(.f64 1/2 (.f64 (log.f64 (+.f64 N 1)) 2))
(.f64 (.f64 (log.f64 (+.f64 N 1)) 8) 1/8)
(*.f64 1/4 (log.f64 (pow.f64 (+.f64 N 1) 4)))
(*.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 2)
(.f64 (.f64 (log.f64 (+.f64 N 1)) 1/4) 4)
(/.f64 (log.f64 (+.f64 N 1)) 1)
(/.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) 2)
(/.f64 (log.f64 (pow.f64 (+.f64 N 1) 4)) 4)
(/.f64 (*.f64 (log.f64 (+.f64 N 1)) 8) 8)
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 8))))) 128)
(pow.f64 (log.f64 (+.f64 N 1)) 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 (.f64 1/3 (pow.f64 N 3)) (+.f64 (neg.f64 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2)))))
(+.f64 (neg.f64 (log.f64 N)) (+.f64 N (+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (+.f64 (neg.f64 (log.f64 N)) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))
(+.f64 (/.f64 1 N) (-.f64 (.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 (/.f64 1 N) (-.f64 (.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 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))
(+.f64 (/.f64 1 N) (-.f64 (.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 (/.f64 1 N) (-.f64 (.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)))
(+.f64 N (+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3))))
(+.f64 (.f64 -1/2 (pow.f64 N 2)) (+.f64 (.f64 1/3 (pow.f64 N 3)) N))
(+.f64 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 (.f64 (pow.f64 N 4) -1/4) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) N)))
(+.f64 N (+.f64 (+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3))) (*.f64 (pow.f64 N 4) -1/4)))
(+.f64 (+.f64 N (.f64 1/3 (pow.f64 N 3))) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (*.f64 (pow.f64 N 4) -1/4)))
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eval38.0ms (0.5%)

Compiler: Compiled 1998 to 1488 computations (25.5% saved)

prune25.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	130	5	135
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	130	6	136

Error

0.1b

Counts

136 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.7b	(/.f64 1 N)
▶	31.9b	(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
▶	29.8b	(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 2) (log.f64 N))
✓	29.8b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
▶	31.2b	(-.f64 N (log.f64 N))
▶	31.9b	(neg.f64 (log.f64 N))

Compiler

Compiled 80 to 62 computations (22.5% saved)

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.3b	(log.f64 (sqrt.f64 (+.f64 N 1)))
✓	3.3b	(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 2) (log.f64 N))

Compiler

Compiled 35 to 26 computations (25.7% saved)

series3.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite124.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1660×	`rational.json-simplify-35`
1448×	`rational.json-1`
1448×	`rational.json-2`
1448×	`rational.json-3`
1356×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	87	46
2	191	36
3	400	36
4	721	36
5	1627	36
6	3482	36
7	5765	36

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 -1 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (-.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 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)) (log.f64 (sqrt.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 (+.f64 N 1))) (-.f64 -1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 N 1)))) (+.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (-.f64 1 (log.f64 N))) (+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) -1) (+.f64 1 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 1/4) (/.f64 (log.f64 N) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (neg.f64 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4))) (.f64 2 (neg.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (sqrt.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 (+.f64 N 1)) 1/4) (.f64 (log.f64 (+.f64 N 1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (sqrt.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (log.f64 (+.f64 N 1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (+.f64 N 1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (log.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (log.f64 (pow.f64 (pow.f64 (+.f64 N 1) 8) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (log.f64 (+.f64 N 1)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (log.f64 (+.f64 N 1))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (log.f64 (sqrt.f64 (pow.f64 (+.f64 N 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (log.f64 (pow.f64 (pow.f64 (+.f64 N 1) 1/2) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (+.f64 N 1)) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (+.f64 N 1)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (+.f64 N 1)) 1/8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (log.f64 (+.f64 N 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 N 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (log.f64 (+.f64 N 1))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (+.f64 N 1)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (+.f64 N 1)) 8) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 8)) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 8))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 8)))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 -1 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (-.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 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)) (log.f64 (sqrt.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 (+.f64 N 1))) (-.f64 -1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 N 1)))) (+.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (-.f64 1 (log.f64 N))) (+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) -1) (+.f64 1 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 1/4) (/.f64 (log.f64 N) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4))) (*.f64 2 (neg.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (sqrt.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (+.f64 N 1)) 1/4) (*.f64 (log.f64 (+.f64 N 1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (sqrt.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 N 1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (log.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (log.f64 (pow.f64 (pow.f64 (+.f64 N 1) 8) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (log.f64 (+.f64 N 1)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (log.f64 (+.f64 N 1))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (log.f64 (sqrt.f64 (pow.f64 (+.f64 N 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (log.f64 (pow.f64 (pow.f64 (+.f64 N 1) 1/2) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 N 1)) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 N 1)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 N 1)) 1/8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (log.f64 (+.f64 N 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 N 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (log.f64 (+.f64 N 1))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 N 1)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 N 1)) 8) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 8)) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 8))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 8)))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 1)))))

simplify121.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1266×	`rational.json-simplify-2`
1144×	`rational.json-simplify-1`
1020×	`rational.json-simplify-35`
982×	`rational.json-simplify-52`
880×	`exponential.json-simplify-29`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	181	2287
1	400	2287
2	906	1903
3	2662	1711
4	4105	1711
5	5733	1711
6	7078	1711

Stop Event

1×	node limit

Counts

85 → 101

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 1/2 N)
(+.f64 (.f64 -1/4 (pow.f64 N 2)) (.f64 1/2 N))
(+.f64 (.f64 1/6 (pow.f64 N 3)) (+.f64 (.f64 -1/4 (pow.f64 N 2)) (*.f64 1/2 N)))
(+.f64 (.f64 -1/8 (pow.f64 N 4)) (+.f64 (.f64 1/6 (pow.f64 N 3)) (+.f64 (.f64 -1/4 (pow.f64 N 2)) (.f64 1/2 N))))
(+.f64 1 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 -1 (log.f64 N))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)))
(+.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)
(+.f64 0 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(+.f64 -1 (+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(+.f64 (+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) -1)
(+.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)) (log.f64 (sqrt.f64 (+.f64 N 1))))
(+.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))
(+.f64 (-.f64 1 (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1))
(+.f64 -2 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))
(+.f64 (+.f64 1 (log.f64 (+.f64 N 1))) (-.f64 -1 (log.f64 N)))
(+.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 N 1)))) (+.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)) -1))
(+.f64 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) -2)
(+.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (-.f64 1 (log.f64 N))) (+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) -1))
(+.f64 (+.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) -1) (+.f64 1 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2)))
(*.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))
(*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(.f64 1/2 (.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(*.f64 -1 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(.f64 (.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 1/2)
(*.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))
(.f64 4 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 1/4) (/.f64 (log.f64 N) 4)))
(*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 1/4)
(.f64 1/4 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) 2)
(*.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) -2)
(*.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)
(/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(/.f64 (*.f64 2 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 2)
(/.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8) 8)
(/.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) -2)
(/.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)) 16)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))) 32)
(/.f64 (neg.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) 4)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4))) -16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)))) 64)
(/.f64 (.f64 2 (neg.f64 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))))) 128)
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4))) (.f64 2 (neg.f64 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)))) 16)
(pow.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(neg.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 0)
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 N 1))))
(+.f64 (.f64 (log.f64 (+.f64 N 1)) 1/4) (.f64 (log.f64 (+.f64 N 1)) 1/4))
(-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 0)
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 N 1))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 1)
(.f64 2 (.f64 (log.f64 (+.f64 N 1)) 1/4))
(*.f64 (log.f64 (+.f64 N 1)) 1/2)
(*.f64 1/2 (log.f64 (+.f64 N 1)))
(*.f64 1/2 (log.f64 (pow.f64 (pow.f64 (+.f64 N 1) 8) 1/8)))
(.f64 4 (.f64 (log.f64 (+.f64 N 1)) 1/8))
(.f64 (.f64 2 (log.f64 (+.f64 N 1))) 1/4)
(*.f64 8 (log.f64 (sqrt.f64 (pow.f64 (+.f64 N 1) 1/8))))
(*.f64 8 (log.f64 (pow.f64 (pow.f64 (+.f64 N 1) 1/2) 1/8)))
(.f64 (.f64 (log.f64 (+.f64 N 1)) 4) 1/8)
(.f64 1/4 (.f64 2 (log.f64 (+.f64 N 1))))
(.f64 (.f64 (log.f64 (+.f64 N 1)) 1/4) 2)
(.f64 (.f64 (log.f64 (+.f64 N 1)) 1/8) 4)
(.f64 1/8 (.f64 (log.f64 (+.f64 N 1)) 4))
(/.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 1)
(/.f64 (log.f64 (+.f64 N 1)) 2)
(/.f64 (*.f64 2 (log.f64 (+.f64 N 1))) 4)
(/.f64 (*.f64 (log.f64 (+.f64 N 1)) 4) 8)
(/.f64 (*.f64 (log.f64 (+.f64 N 1)) 8) 16)
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 8)) 32)
(/.f64 (.f64 2 (.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 8))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 8)))) 128)
(pow.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 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 (.f64 1/3 (pow.f64 N 3)) (+.f64 (neg.f64 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2)))))
(+.f64 (neg.f64 (log.f64 N)) (+.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 N (+.f64 (neg.f64 (log.f64 N)) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3)))))
(*.f64 1/2 N)
(*.f64 N 1/2)
(+.f64 (.f64 -1/4 (pow.f64 N 2)) (.f64 1/2 N))
(+.f64 (.f64 N 1/2) (.f64 (pow.f64 N 2) -1/4))
(+.f64 (.f64 1/6 (pow.f64 N 3)) (+.f64 (.f64 -1/4 (pow.f64 N 2)) (*.f64 1/2 N)))
(+.f64 (.f64 (pow.f64 N 2) -1/4) (+.f64 (.f64 N 1/2) (*.f64 (pow.f64 N 3) 1/6)))
(+.f64 (.f64 N 1/2) (+.f64 (.f64 (pow.f64 N 2) -1/4) (*.f64 (pow.f64 N 3) 1/6)))
(+.f64 (.f64 -1/8 (pow.f64 N 4)) (+.f64 (.f64 1/6 (pow.f64 N 3)) (+.f64 (.f64 -1/4 (pow.f64 N 2)) (.f64 1/2 N))))
(+.f64 (.f64 (pow.f64 N 3) 1/6) (+.f64 (+.f64 (.f64 N 1/2) (.f64 (pow.f64 N 2) -1/4)) (.f64 -1/8 (pow.f64 N 4))))
(+.f64 (.f64 N 1/2) (+.f64 (+.f64 (.f64 (pow.f64 N 2) -1/4) (.f64 (pow.f64 N 3) 1/6)) (.f64 -1/8 (pow.f64 N 4))))
(+.f64 (.f64 N 1/2) (+.f64 (.f64 -1/8 (pow.f64 N 4)) (+.f64 (.f64 (pow.f64 N 2) -1/4) (.f64 (pow.f64 N 3) 1/6))))
(+.f64 1 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 -1 (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)))
(+.f64 1 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 -1 (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 1 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 -1 (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)
(+.f64 1 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 -1 (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 0 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(+.f64 1 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 -1 (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 -1 (+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(+.f64 1 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 -1 (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(+.f64 1 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 -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))) -1)
(+.f64 1 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 -1 (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)) (log.f64 (sqrt.f64 (+.f64 N 1))))
(+.f64 1 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 -1 (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))
(+.f64 1 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 -1 (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (-.f64 1 (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1))
(+.f64 1 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 -1 (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 -2 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))
(+.f64 1 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 -1 (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (+.f64 1 (log.f64 (+.f64 N 1))) (-.f64 -1 (log.f64 N)))
(+.f64 1 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 -1 (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 N 1)))) (+.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)) -1))
(+.f64 1 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 -1 (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) -2)
(+.f64 1 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 -1 (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
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(/.f64 (.f64 2 (.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 8))) 64)
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(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 8)))) 128)
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(pow.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 1)
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localize3.0ms (0%)

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

localize4.0ms (0.1%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 8 to 3 computations (62.5% saved)

series7.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	N	@	0	(-.f64 N (log.f64 N))
2.0ms	N	@	-inf	(-.f64 N (log.f64 N))
1.0ms	N	@	inf	(-.f64 N (log.f64 N))

rewrite93.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1842×	`rational.json-simplify-35`
1416×	`rational.json-1`
1416×	`rational.json-2`
1416×	`rational.json-3`
1346×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	38	11
2	91	11
3	194	11
4	359	11
5	821	11
6	2184	11
7	4181	11
8	5850	11

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 N (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 N (log.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 N (-.f64 -1 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 N)) N)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 N (-.f64 1 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N (-.f64 1 (log.f64 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 N (log.f64 N)) 1/2) (*.f64 (-.f64 N (log.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 N 1/2) (-.f64 (*.f64 N 1/2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (log.f64 N)) (+.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 N (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N 1) (-.f64 -1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 N (log.f64 N)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (-.f64 N (log.f64 N)) 1/2) -1) (+.f64 1 (*.f64 (-.f64 N (log.f64 N)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 N (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 N (log.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 N (log.f64 N)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 N) N) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (-.f64 N (log.f64 N)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 N (log.f64 N)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (log.f64 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 N (log.f64 N)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 N (log.f64 N)) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 N (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 N (log.f64 N)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (-.f64 N (log.f64 N)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 N (log.f64 N)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 N (log.f64 N)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 N (log.f64 N)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (-.f64 N (log.f64 N)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (-.f64 (*.f64 N 8) (*.f64 (log.f64 N) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (-.f64 N (log.f64 N)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 N (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 N (log.f64 N)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 N) N) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 N (log.f64 N)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 N (log.f64 N)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 N (log.f64 N)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 N (log.f64 N)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 N) N) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 N) N) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 N (log.f64 N)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 N) N) 4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 N (log.f64 N)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 N) N) 4)))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 N (log.f64 N)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 N (log.f64 N)) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 N (log.f64 N)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 N (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log.f64 N) N))))))

simplify311.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1920×	`rational.json-simplify-35`
1902×	`rational.json-simplify-42`
1870×	`rational.json-simplify-2`
1444×	`rational.json-simplify-1`
840×	`rational.json-simplify-49`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	120	988
1	260	976
2	732	976
3	1847	976
4	3236	976
5	4128	768
6	4770	768
7	5434	768
8	6098	768
9	6299	768
10	6425	768
11	6886	768
12	7037	768

Stop Event

1×	node limit

Counts

62 → 58

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
N
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
N
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (log.f64 N)))
(+.f64 (-.f64 N (log.f64 N)) 0)
(+.f64 0 (-.f64 N (log.f64 N)))
(+.f64 1 (+.f64 N (-.f64 -1 (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) N)
(+.f64 -1 (+.f64 N (-.f64 1 (log.f64 N))))
(+.f64 (+.f64 N (-.f64 1 (log.f64 N))) -1)
(+.f64 (.f64 (-.f64 N (log.f64 N)) 1/2) (.f64 (-.f64 N (log.f64 N)) 1/2))
(+.f64 (.f64 N 1/2) (-.f64 (.f64 N 1/2) (log.f64 N)))
(+.f64 (-.f64 1 (log.f64 N)) (+.f64 N -1))
(+.f64 -2 (+.f64 (-.f64 N (log.f64 N)) 2))
(+.f64 (+.f64 N 1) (-.f64 -1 (log.f64 N)))
(+.f64 (+.f64 (-.f64 N (log.f64 N)) 2) -2)
(+.f64 (+.f64 (.f64 (-.f64 N (log.f64 N)) 1/2) -1) (+.f64 1 (.f64 (-.f64 N (log.f64 N)) 1/2)))
(*.f64 (-.f64 N (log.f64 N)) 1)
(*.f64 1 (-.f64 N (log.f64 N)))
(.f64 2 (.f64 (-.f64 N (log.f64 N)) 1/2))
(.f64 (.f64 (-.f64 N (log.f64 N)) 2) 1/2)
(*.f64 (-.f64 (log.f64 N) N) -1)
(.f64 4 (.f64 (-.f64 N (log.f64 N)) 1/4))
(.f64 (.f64 (-.f64 N (log.f64 N)) 4) 1/4)
(*.f64 -1 (-.f64 (log.f64 N) N))
(.f64 (.f64 (-.f64 N (log.f64 N)) 8) 1/8)
(.f64 (.f64 (-.f64 N (log.f64 N)) -2) -1/2)
(.f64 1/2 (.f64 (-.f64 N (log.f64 N)) 2))
(.f64 (.f64 (-.f64 N (log.f64 N)) 1/2) 2)
(*.f64 -2 (/.f64 (-.f64 N (log.f64 N)) -2))
(*.f64 (/.f64 (-.f64 N (log.f64 N)) -2) -2)
(.f64 1/4 (.f64 (-.f64 N (log.f64 N)) 4))
(.f64 (.f64 (-.f64 N (log.f64 N)) 1/4) 4)
(.f64 1/8 (.f64 (-.f64 N (log.f64 N)) 8))
(.f64 1/8 (-.f64 (.f64 N 8) (*.f64 (log.f64 N) 8)))
(.f64 -1/2 (.f64 (-.f64 N (log.f64 N)) -2))
(/.f64 (-.f64 N (log.f64 N)) 1)
(/.f64 (*.f64 (-.f64 N (log.f64 N)) 2) 2)
(/.f64 (-.f64 (log.f64 N) N) -1)
(/.f64 (*.f64 (-.f64 N (log.f64 N)) 4) 4)
(/.f64 (*.f64 (-.f64 N (log.f64 N)) 8) 8)
(/.f64 (*.f64 (-.f64 N (log.f64 N)) -2) -2)
(/.f64 (.f64 2 (.f64 (-.f64 N (log.f64 N)) 8)) 16)
(/.f64 (*.f64 (-.f64 (log.f64 N) N) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 N) N) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 N (log.f64 N)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (log.f64 N) N) 4))) -16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 N (log.f64 N)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 N) N) 4)))) -32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (-.f64 N (log.f64 N)) 8))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 N (log.f64 N)) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 N (log.f64 N)) 8)))))) 256)
(pow.f64 (-.f64 N (log.f64 N)) 1)
(neg.f64 (-.f64 (log.f64 N) N))

Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
N
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
N
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (-.f64 N (log.f64 N)) 0)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 0 (-.f64 N (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 1 (+.f64 N (-.f64 -1 (log.f64 N))))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) N)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 -1 (+.f64 N (-.f64 1 (log.f64 N))))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (+.f64 N (-.f64 1 (log.f64 N))) -1)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (.f64 (-.f64 N (log.f64 N)) 1/2) (.f64 (-.f64 N (log.f64 N)) 1/2))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (.f64 N 1/2) (-.f64 (.f64 N 1/2) (log.f64 N)))
(+.f64 (-.f64 1 (log.f64 N)) (+.f64 N -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 -2 (+.f64 (-.f64 N (log.f64 N)) 2))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (+.f64 N 1) (-.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (+.f64 (-.f64 N (log.f64 N)) 2) -2)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (+.f64 (.f64 (-.f64 N (log.f64 N)) 1/2) -1) (+.f64 1 (.f64 (-.f64 N (log.f64 N)) 1/2)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(*.f64 (-.f64 N (log.f64 N)) 1)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(*.f64 1 (-.f64 N (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 2 (.f64 (-.f64 N (log.f64 N)) 1/2))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 (.f64 (-.f64 N (log.f64 N)) 2) 1/2)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(*.f64 (-.f64 (log.f64 N) N) -1)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 4 (.f64 (-.f64 N (log.f64 N)) 1/4))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 (.f64 (-.f64 N (log.f64 N)) 4) 1/4)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(*.f64 -1 (-.f64 (log.f64 N) N))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 (.f64 (-.f64 N (log.f64 N)) 8) 1/8)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 (.f64 (-.f64 N (log.f64 N)) -2) -1/2)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 1/2 (.f64 (-.f64 N (log.f64 N)) 2))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 (.f64 (-.f64 N (log.f64 N)) 1/2) 2)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(*.f64 -2 (/.f64 (-.f64 N (log.f64 N)) -2))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(*.f64 (/.f64 (-.f64 N (log.f64 N)) -2) -2)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 1/4 (.f64 (-.f64 N (log.f64 N)) 4))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 (.f64 (-.f64 N (log.f64 N)) 1/4) 4)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 1/8 (.f64 (-.f64 N (log.f64 N)) 8))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 1/8 (-.f64 (.f64 N 8) (*.f64 (log.f64 N) 8)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 -1/2 (.f64 (-.f64 N (log.f64 N)) -2))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (-.f64 N (log.f64 N)) 1)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (*.f64 (-.f64 N (log.f64 N)) 2) 2)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (-.f64 (log.f64 N) N) -1)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (*.f64 (-.f64 N (log.f64 N)) 4) 4)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (*.f64 (-.f64 N (log.f64 N)) 8) 8)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (*.f64 (-.f64 N (log.f64 N)) -2) -2)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (.f64 2 (.f64 (-.f64 N (log.f64 N)) 8)) 16)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (*.f64 (-.f64 (log.f64 N) N) 4) -4)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 N) N) 4)) -8)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 N (log.f64 N)) 8))) 32)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (log.f64 N) N) 4))) -16)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 N (log.f64 N)) 8)))) 64)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 N) N) 4)))) -32)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (-.f64 N (log.f64 N)) 8))))) 128)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 N (log.f64 N)) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 N (log.f64 N)) 8)))))) 256)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(pow.f64 (-.f64 N (log.f64 N)) 1)
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(neg.f64 (-.f64 (log.f64 N) N))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))

localize14.0ms (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)))
✓	0.5b	(/.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
1.0ms	N	@	0	(/.f64 1 (pow.f64 N 2))
0.0ms	N	@	0	(*.f64 1/2 (/.f64 1 (pow.f64 N 2)))
0.0ms	N	@	inf	(*.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))))

rewrite91.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1656×	`rational.json-1`
1656×	`rational.json-2`
1136×	`rational.json-simplify-35`
1078×	`rational.json-simplify-61`
808×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	83	63
2	185	63
3	380	51
4	822	51
5	2524	51
6	7231	51

Stop Event

1×	node limit

Counts

3 → 140

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

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

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

simplify86.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1600×	`rational.json-simplify-35`
1476×	`rational.json-simplify-51`
1232×	`rational.json-simplify-2`
1010×	`rational.json-simplify-41`
960×	`rational.json-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	267	2823
1	704	2699
2	1980	2699
3	5643	2699

Stop Event

1×	node limit

Counts

155 → 148

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

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

eval350.0ms (4.6%)

Compiler: Compiled 3995 to 2947 computations (26.2% saved)

prune44.0ms (0.6%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	303	4	307
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	304	9	313

Error

0.1b

Counts

313 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.7b	(/.f64 1 N)
▶	31.9b	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓	29.8b	(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 2) (log.f64 N))
✓	29.8b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	31.2b	(-.f64 N (log.f64 N))
▶	61.5b	(+.f64 (-.f64 (-.f64 (/.f64 1 N) -1) (/.f64 1/2 (pow.f64 N 2))) -1)
▶	31.2b	(+.f64 (+.f64 (-.f64 N (log.f64 N)) 2) -2)
✓	31.9b	(neg.f64 (log.f64 N))
	61.1b	N

Compiler

Compiled 67 to 52 computations (22.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 N (log.f64 N))
✓	0.0b	(+.f64 (+.f64 (-.f64 N (log.f64 N)) 2) -2)
✓	0.0b	(+.f64 (-.f64 N (log.f64 N)) 2)

Compiler

Compiled 24 to 11 computations (54.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite110.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1608×	`rational.json-1`
1608×	`rational.json-2`
1608×	`rational.json-3`
1542×	`rational.json-4`
1464×	`rational.json-simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	64	28
2	129	28
3	256	28
4	521	28
5	1383	28
6	3226	28
7	5161	28
8	7075	28

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 N (-.f64 (log.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 N (-.f64 (+.f64 (log.f64 N) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 N (log.f64 N)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 2 (-.f64 (log.f64 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (-.f64 (log.f64 N) N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (+.f64 (log.f64 N) (-.f64 -1 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (+.f64 (log.f64 N) -1) (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (log.f64 N) (+.f64 1 (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 (log.f64 N) (-.f64 -1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (-.f64 (log.f64 N) (+.f64 N -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 N (+.f64 (log.f64 N) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (-.f64 N (+.f64 (log.f64 N) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 N) (+.f64 (log.f64 N) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (-.f64 N (log.f64 N)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 N)) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (-.f64 N (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (-.f64 N (log.f64 N)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (-.f64 N (log.f64 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (-.f64 N (log.f64 N)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 N (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 N (-.f64 (+.f64 (log.f64 N) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 N (log.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (log.f64 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (log.f64 N) (+.f64 N -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (log.f64 N) (-.f64 -1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 N (+.f64 (log.f64 N) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 N (log.f64 N)) 1/2) (/.f64 (-.f64 N (log.f64 N)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 N (log.f64 N)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 N) (+.f64 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N -1) (+.f64 (log.f64 N) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 1 N) -1) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 N (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 N (log.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (-.f64 N (log.f64 N)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 N (log.f64 N)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 N) N) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (-.f64 N (log.f64 N)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 N (log.f64 N)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (log.f64 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 N (log.f64 N)) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 N (log.f64 N)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 N (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 N (log.f64 N)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 N (log.f64 N)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 N (log.f64 N)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 N (log.f64 N)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (-.f64 N (log.f64 N)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (-.f64 N (log.f64 N)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (-.f64 (*.f64 N 8) (log.f64 (pow.f64 N 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 N (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 N (log.f64 N)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 N) N) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 N (log.f64 N)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 N (log.f64 N)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 N (log.f64 N)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 N) N) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 N (log.f64 N)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 N) N) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 N (log.f64 N)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 N) N) 4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 N (log.f64 N)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 N (log.f64 N)) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 N (log.f64 N)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 N (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log.f64 N) N))))))

simplify250.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1942×	`rational.json-simplify-35`
1524×	`rational.json-simplify-2`
1338×	`rational.json-simplify-51`
1198×	`rational.json-simplify-52`
1024×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	175	1940
1	382	1816
2	1126	1620
3	2454	1596
4	4646	1596
5	6198	1596
6	6658	1596
7	6904	1596
8	7121	1596
9	7156	1596
10	7226	1596

Stop Event

1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(-.f64 2 (log.f64 N))
(-.f64 (+.f64 N 2) (log.f64 N))
(-.f64 (+.f64 N 2) (log.f64 N))
(-.f64 (+.f64 N 2) (log.f64 N))
N
(-.f64 (+.f64 N 2) (*.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 N 2) (*.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 N 2) (*.f64 -1 (log.f64 (/.f64 1 N))))
N
(-.f64 (+.f64 N 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(-.f64 (+.f64 N 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(-.f64 (+.f64 N 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
N
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
N
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(-.f64 N (-.f64 (log.f64 N) 2))
(-.f64 N (-.f64 (+.f64 (log.f64 N) -1) 1))
(-.f64 (-.f64 N (log.f64 N)) -2)
(-.f64 2 (-.f64 (log.f64 N) N))
(-.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 0)
(-.f64 0 (-.f64 (-.f64 (log.f64 N) N) 2))
(-.f64 0 (-.f64 (+.f64 (log.f64 N) (-.f64 -1 N)) 1))
(-.f64 0 (-.f64 (+.f64 (log.f64 N) -1) (+.f64 1 N)))
(-.f64 0 (-.f64 (log.f64 N) (+.f64 1 (+.f64 1 N))))
(-.f64 1 (+.f64 (log.f64 N) (-.f64 -1 N)))
(-.f64 1 (-.f64 (-.f64 (log.f64 N) (+.f64 N -1)) 2))
(-.f64 (-.f64 N (+.f64 (log.f64 N) -1)) -1)
(-.f64 (+.f64 2 (-.f64 N (+.f64 (log.f64 N) -1))) 1)
(-.f64 (+.f64 1 N) (+.f64 (log.f64 N) -1))
(-.f64 (+.f64 1 (+.f64 (-.f64 N (log.f64 N)) 2)) 1)
(-.f64 (+.f64 1 (+.f64 1 N)) (log.f64 N))
(.f64 2 (.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 1/2))
(*.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 1)
(*.f64 1 (+.f64 (-.f64 N (log.f64 N)) 2))
(.f64 (.f64 2 (+.f64 (-.f64 N (log.f64 N)) 2)) 1/2)
(.f64 4 (.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 1/4))
(.f64 (.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 4) 1/4)
(.f64 (.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 8) 1/8)
(.f64 1/2 (.f64 2 (+.f64 (-.f64 N (log.f64 N)) 2)))
(.f64 (.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 4))
(.f64 (.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 1/4) 4)
(.f64 1/8 (.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 8))
(/.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 1)
(/.f64 (*.f64 2 (+.f64 (-.f64 N (log.f64 N)) 2)) 2)
(/.f64 (*.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 4) 4)
(/.f64 (*.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 8))))) 128)
(pow.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 1)
(-.f64 N (log.f64 N))
(-.f64 N (-.f64 (+.f64 (log.f64 N) -1) -1))
(-.f64 (-.f64 N (log.f64 N)) 0)
(-.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 2)
(-.f64 0 (-.f64 (log.f64 N) N))
(-.f64 1 (-.f64 (log.f64 N) (+.f64 N -1)))
(-.f64 -1 (+.f64 (log.f64 N) (-.f64 -1 N)))
(-.f64 (-.f64 N (+.f64 (log.f64 N) -1)) 1)
(-.f64 (*.f64 (-.f64 N (log.f64 N)) 1/2) (/.f64 (-.f64 N (log.f64 N)) -2))
(-.f64 (+.f64 (-.f64 N (log.f64 N)) -1) -1)
(-.f64 (+.f64 1 N) (+.f64 1 (log.f64 N)))
(-.f64 (+.f64 N -1) (+.f64 (log.f64 N) -1))
(-.f64 (+.f64 (+.f64 1 N) -1) (log.f64 N))
(*.f64 (-.f64 N (log.f64 N)) 1)
(.f64 2 (.f64 (-.f64 N (log.f64 N)) 1/2))
(*.f64 -2 (/.f64 (-.f64 N (log.f64 N)) -2))
(*.f64 1 (-.f64 N (log.f64 N)))
(.f64 (.f64 (-.f64 N (log.f64 N)) 2) 1/2)
(*.f64 (-.f64 (log.f64 N) N) -1)
(.f64 4 (.f64 (-.f64 N (log.f64 N)) 1/4))
(.f64 (.f64 (-.f64 N (log.f64 N)) 4) 1/4)
(*.f64 -1 (-.f64 (log.f64 N) N))
(.f64 (.f64 (-.f64 N (log.f64 N)) -2) -1/2)
(.f64 (.f64 (-.f64 N (log.f64 N)) 8) 1/8)
(.f64 1/2 (.f64 (-.f64 N (log.f64 N)) 2))
(.f64 (.f64 (-.f64 N (log.f64 N)) 1/2) 2)
(*.f64 (/.f64 (-.f64 N (log.f64 N)) -2) -2)
(.f64 1/4 (.f64 (-.f64 N (log.f64 N)) 4))
(.f64 (.f64 (-.f64 N (log.f64 N)) 1/4) 4)
(.f64 -1/2 (.f64 (-.f64 N (log.f64 N)) -2))
(.f64 1/8 (.f64 (-.f64 N (log.f64 N)) 8))
(.f64 1/8 (-.f64 (.f64 N 8) (log.f64 (pow.f64 N 8))))
(/.f64 (-.f64 N (log.f64 N)) 1)
(/.f64 (*.f64 (-.f64 N (log.f64 N)) 2) 2)
(/.f64 (-.f64 (log.f64 N) N) -1)
(/.f64 (*.f64 (-.f64 N (log.f64 N)) 4) 4)
(/.f64 (*.f64 (-.f64 N (log.f64 N)) -2) -2)
(/.f64 (*.f64 (-.f64 N (log.f64 N)) 8) 8)
(/.f64 (*.f64 (-.f64 (log.f64 N) N) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 N (log.f64 N)) 8)) 16)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 N) N) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 N (log.f64 N)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (log.f64 N) N) 4))) -16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 N (log.f64 N)) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 N (log.f64 N)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 N (log.f64 N)) 8))))) 128)
(pow.f64 (-.f64 N (log.f64 N)) 1)
(neg.f64 (-.f64 (log.f64 N) N))

Outputs
(-.f64 2 (log.f64 N))
(-.f64 (+.f64 N 2) (log.f64 N))
(+.f64 2 (-.f64 N (log.f64 N)))
(-.f64 (+.f64 2 N) (log.f64 N))
(-.f64 (-.f64 N -2) (log.f64 N))
(-.f64 (+.f64 N 2) (log.f64 N))
(+.f64 2 (-.f64 N (log.f64 N)))
(-.f64 (+.f64 2 N) (log.f64 N))
(-.f64 (-.f64 N -2) (log.f64 N))
(-.f64 (+.f64 N 2) (log.f64 N))
(+.f64 2 (-.f64 N (log.f64 N)))
(-.f64 (+.f64 2 N) (log.f64 N))
(-.f64 (-.f64 N -2) (log.f64 N))
N
(-.f64 (+.f64 N 2) (*.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 2 N) (*.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 2 N) (neg.f64 (log.f64 (/.f64 1 N))))
(+.f64 N (-.f64 2 (neg.f64 (log.f64 (/.f64 1 N)))))
(-.f64 (log.f64 (/.f64 1 N)) (-.f64 -2 N))
(-.f64 (+.f64 N 2) (*.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 2 N) (*.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 2 N) (neg.f64 (log.f64 (/.f64 1 N))))
(+.f64 N (-.f64 2 (neg.f64 (log.f64 (/.f64 1 N)))))
(-.f64 (log.f64 (/.f64 1 N)) (-.f64 -2 N))
(-.f64 (+.f64 N 2) (*.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 2 N) (*.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 2 N) (neg.f64 (log.f64 (/.f64 1 N))))
(+.f64 N (-.f64 2 (neg.f64 (log.f64 (/.f64 1 N)))))
(-.f64 (log.f64 (/.f64 1 N)) (-.f64 -2 N))
N
(-.f64 (+.f64 N 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(+.f64 2 (-.f64 N (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 2 (-.f64 N (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(-.f64 (+.f64 N 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(+.f64 2 (-.f64 N (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 2 (-.f64 N (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(-.f64 (+.f64 N 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(+.f64 2 (-.f64 N (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 2 (-.f64 N (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(*.f64 -1 (log.f64 N))
(*.f64 (log.f64 N) -1)
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
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(-.f64 N (log.f64 N))
N
(+.f64 N (log.f64 (/.f64 1 N)))
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(+.f64 N (log.f64 (/.f64 1 N)))
N
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(-.f64 2 (-.f64 (log.f64 N) N))
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(-.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 0)
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(-.f64 (+.f64 2 (-.f64 N (+.f64 (log.f64 N) -1))) 1)
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(.f64 2 (.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 1/2))
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(*.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 1)
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(*.f64 1 (+.f64 (-.f64 N (log.f64 N)) 2))
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(.f64 (.f64 2 (+.f64 (-.f64 N (log.f64 N)) 2)) 1/2)
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(-.f64 (+.f64 2 N) (log.f64 N))
(-.f64 (-.f64 N -2) (log.f64 N))
(.f64 4 (.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 1/4))
(+.f64 2 (-.f64 N (log.f64 N)))
(-.f64 (+.f64 2 N) (log.f64 N))
(-.f64 (-.f64 N -2) (log.f64 N))
(.f64 (.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 4) 1/4)
(+.f64 2 (-.f64 N (log.f64 N)))
(-.f64 (+.f64 2 N) (log.f64 N))
(-.f64 (-.f64 N -2) (log.f64 N))
(.f64 (.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 8) 1/8)
(+.f64 2 (-.f64 N (log.f64 N)))
(-.f64 (+.f64 2 N) (log.f64 N))
(-.f64 (-.f64 N -2) (log.f64 N))
(.f64 1/2 (.f64 2 (+.f64 (-.f64 N (log.f64 N)) 2)))
(+.f64 2 (-.f64 N (log.f64 N)))
(-.f64 (+.f64 2 N) (log.f64 N))
(-.f64 (-.f64 N -2) (log.f64 N))
(.f64 (.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 1/2) 2)
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(-.f64 (+.f64 2 N) (log.f64 N))
(-.f64 (-.f64 N -2) (log.f64 N))
(.f64 1/4 (.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 4))
(+.f64 2 (-.f64 N (log.f64 N)))
(-.f64 (+.f64 2 N) (log.f64 N))
(-.f64 (-.f64 N -2) (log.f64 N))
(.f64 (.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 1/4) 4)
(+.f64 2 (-.f64 N (log.f64 N)))
(-.f64 (+.f64 2 N) (log.f64 N))
(-.f64 (-.f64 N -2) (log.f64 N))
(.f64 1/8 (.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 8))
(+.f64 2 (-.f64 N (log.f64 N)))
(-.f64 (+.f64 2 N) (log.f64 N))
(-.f64 (-.f64 N -2) (log.f64 N))
(/.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 1)
(+.f64 2 (-.f64 N (log.f64 N)))
(-.f64 (+.f64 2 N) (log.f64 N))
(-.f64 (-.f64 N -2) (log.f64 N))
(/.f64 (*.f64 2 (+.f64 (-.f64 N (log.f64 N)) 2)) 2)
(+.f64 2 (-.f64 N (log.f64 N)))
(-.f64 (+.f64 2 N) (log.f64 N))
(-.f64 (-.f64 N -2) (log.f64 N))
(/.f64 (*.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 4) 4)
(+.f64 2 (-.f64 N (log.f64 N)))
(-.f64 (+.f64 2 N) (log.f64 N))
(-.f64 (-.f64 N -2) (log.f64 N))
(/.f64 (*.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 8) 8)
(+.f64 2 (-.f64 N (log.f64 N)))
(-.f64 (+.f64 2 N) (log.f64 N))
(-.f64 (-.f64 N -2) (log.f64 N))
(/.f64 (.f64 2 (.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 8)) 16)
(+.f64 2 (-.f64 N (log.f64 N)))
(-.f64 (+.f64 2 N) (log.f64 N))
(-.f64 (-.f64 N -2) (log.f64 N))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 8))) 32)
(+.f64 2 (-.f64 N (log.f64 N)))
(-.f64 (+.f64 2 N) (log.f64 N))
(-.f64 (-.f64 N -2) (log.f64 N))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 8)))) 64)
(+.f64 2 (-.f64 N (log.f64 N)))
(-.f64 (+.f64 2 N) (log.f64 N))
(-.f64 (-.f64 N -2) (log.f64 N))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 8))))) 128)
(+.f64 2 (-.f64 N (log.f64 N)))
(-.f64 (+.f64 2 N) (log.f64 N))
(-.f64 (-.f64 N -2) (log.f64 N))
(pow.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 1)
(+.f64 2 (-.f64 N (log.f64 N)))
(-.f64 (+.f64 2 N) (log.f64 N))
(-.f64 (-.f64 N -2) (log.f64 N))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (-.f64 (+.f64 (log.f64 N) -1) -1))
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(-.f64 (-.f64 N (log.f64 N)) 0)
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(-.f64 (+.f64 (-.f64 N (log.f64 N)) 2) 2)
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(-.f64 0 (-.f64 (log.f64 N) N))
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(-.f64 1 (-.f64 (log.f64 N) (+.f64 N -1)))
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(-.f64 -1 (+.f64 (log.f64 N) (-.f64 -1 N)))
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(-.f64 (-.f64 N (+.f64 (log.f64 N) -1)) 1)
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(-.f64 (*.f64 (-.f64 N (log.f64 N)) 1/2) (/.f64 (-.f64 N (log.f64 N)) -2))
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(-.f64 (+.f64 (-.f64 N (log.f64 N)) -1) -1)
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(-.f64 (+.f64 1 N) (+.f64 1 (log.f64 N)))
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(-.f64 (+.f64 N -1) (+.f64 (log.f64 N) -1))
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(-.f64 (+.f64 (+.f64 1 N) -1) (log.f64 N))
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(*.f64 (-.f64 N (log.f64 N)) 1)
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 2 (.f64 (-.f64 N (log.f64 N)) 1/2))
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(*.f64 -2 (/.f64 (-.f64 N (log.f64 N)) -2))
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(*.f64 1 (-.f64 N (log.f64 N)))
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 (.f64 (-.f64 N (log.f64 N)) 2) 1/2)
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(*.f64 (-.f64 (log.f64 N) N) -1)
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 4 (.f64 (-.f64 N (log.f64 N)) 1/4))
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 (.f64 (-.f64 N (log.f64 N)) 4) 1/4)
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(*.f64 -1 (-.f64 (log.f64 N) N))
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 (.f64 (-.f64 N (log.f64 N)) -2) -1/2)
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 (.f64 (-.f64 N (log.f64 N)) 8) 1/8)
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 1/2 (.f64 (-.f64 N (log.f64 N)) 2))
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 (.f64 (-.f64 N (log.f64 N)) 1/2) 2)
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(*.f64 (/.f64 (-.f64 N (log.f64 N)) -2) -2)
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 1/4 (.f64 (-.f64 N (log.f64 N)) 4))
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 (.f64 (-.f64 N (log.f64 N)) 1/4) 4)
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(.f64 -1/2 (.f64 (-.f64 N (log.f64 N)) -2))
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(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 1/8 (.f64 (-.f64 N (log.f64 N)) 8))
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(.f64 1/8 (-.f64 (.f64 N 8) (log.f64 (pow.f64 N 8))))
(/.f64 (-.f64 N (log.f64 N)) 1)
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
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(/.f64 (*.f64 (-.f64 N (log.f64 N)) 2) 2)
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (-.f64 (log.f64 N) N) -1)
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (*.f64 (-.f64 N (log.f64 N)) 4) 4)
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(-.f64 N (log.f64 N))
(/.f64 (*.f64 (-.f64 N (log.f64 N)) -2) -2)
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(+.f64 N (neg.f64 (log.f64 N)))
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(/.f64 (*.f64 (-.f64 N (log.f64 N)) 8) 8)
(+.f64 N (*.f64 (log.f64 N) -1))
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(/.f64 (*.f64 (-.f64 (log.f64 N) N) 4) -4)
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(/.f64 (.f64 2 (.f64 (-.f64 N (log.f64 N)) 8)) 16)
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
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(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 N) N) 4)) -8)
(+.f64 N (*.f64 (log.f64 N) -1))
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(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 N (log.f64 N)) 8))) 32)
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(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (log.f64 N) N) 4))) -16)
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 N (log.f64 N)) 8)))) 64)
(+.f64 N (*.f64 (log.f64 N) -1))
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(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 N (log.f64 N)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 N (log.f64 N)) 8))))) 128)
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(pow.f64 (-.f64 N (log.f64 N)) 1)
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(neg.f64 (-.f64 (log.f64 N) N))
(+.f64 N (*.f64 (log.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 (/.f64 1 N) -1) (/.f64 1/2 (pow.f64 N 2)))
✓	0.5b	(/.f64 1/2 (pow.f64 N 2))
✓	4.0b	(+.f64 (-.f64 (-.f64 (/.f64 1 N) -1) (/.f64 1/2 (pow.f64 N 2))) -1)

Compiler

Compiled 46 to 37 computations (19.6% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite100.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1820×	`rational.json-1`
1820×	`rational.json-2`
1244×	`rational.json-simplify-35`
884×	`rational.json-4`
884×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	81
1	101	81
2	229	69
3	529	69
4	1209	69
5	3291	69
6	7271	69

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

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

Outputs

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

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

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

simplify141.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1864×	`rational.json-simplify-35`
1060×	`rational.json-simplify-2`
806×	`rational.json-simplify-1`
678×	`rational.json-simplify-43`
544×	`rational.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	216	4324
1	438	3784
2	1067	3784
3	3573	3784
4	5392	3784
5	7452	3784

Stop Event

1×	node limit

Counts

142 → 136

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

localize10.0ms (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)))
	0.5b	(/.f64 1/2 (pow.f64 N 2))

Compiler

Compiled 25 to 19 computations (24% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
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)))

rewrite77.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1600×	`rational.json-1`
1600×	`rational.json-2`
1600×	`rational.json-3`
1598×	`rational.json-4`
1576×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	77	25
2	178	25
3	388	25
4	813	25
5	2354	25
6	6077	25

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify137.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1894×	`rational.json-simplify-35`
1336×	`rational.json-simplify-61`
964×	`rational.json-simplify-1`
846×	`rational.json-simplify-2`
758×	`rational.json-simplify-48`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	85	1362
1	168	1230
2	348	1230
3	941	1230
4	2006	1230
5	2839	1230
6	3975	1230
7	4908	1230
8	7255	1230

Stop Event

1×	node limit

Counts

48 → 40

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

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

eval169.0ms (2.2%)

Compiler: Compiled 4718 to 3610 computations (23.5% saved)

prune86.0ms (1.1%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	369	1	370
Fresh	0	1	1
Picked	0	1	1
Done	0	7	7
Total	369	10	379

Error

0.1b

Counts

379 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.7b	(/.f64 1 N)
✓	31.9b	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
▶	61.5b	(-.f64 (+.f64 (/.f64 1 N) -1) (+.f64 -1 (/.f64 1/2 (pow.f64 N 2))))
✓	29.8b	(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 2) (log.f64 N))
✓	29.8b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	31.2b	(-.f64 N (log.f64 N))
✓	61.5b	(+.f64 (-.f64 (-.f64 (/.f64 1 N) -1) (/.f64 1/2 (pow.f64 N 2))) -1)
✓	31.2b	(+.f64 (+.f64 (-.f64 N (log.f64 N)) 2) -2)
✓	31.9b	(neg.f64 (log.f64 N))
	61.1b	N

Compiler

Compiled 81 to 64 computations (21% saved)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.5b	(/.f64 1/2 (pow.f64 N 2))
✓	4.7b	(-.f64 (+.f64 (/.f64 1 N) -1) (+.f64 -1 (/.f64 1/2 (pow.f64 N 2))))

Compiler

Compiled 42 to 34 computations (19% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite100.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1796×	`rational.json-1`
1206×	`rational.json-simplify-35`
1112×	`rational.json-2`
1112×	`rational.json-4`
1112×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	101	37
2	223	37
3	502	25
4	1180	25
5	3451	25
6	7695	25

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify141.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

2042×	`rational.json-simplify-35`
1336×	`rational.json-simplify-61`
978×	`rational.json-simplify-41`
780×	`rational.json-simplify-2`
512×	`rational.json-simplify-29`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	101	1866
1	203	1866
2	387	1422
3	861	1422
4	1896	1422
5	3314	1422
6	3762	1422
7	4470	1422
8	7039	1422

Stop Event

1×	node limit

Counts

54 → 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 (+.f64 (/.f64 1 N) (-.f64 -1 (/.f64 1/2 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (neg.f64 (/.f64 1/2 (pow.f64 N 2))))
(+.f64 -1 (-.f64 1 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))))
(+.f64 (+.f64 (/.f64 1 N) -1) (-.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 0)
(+.f64 0 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (-.f64 1 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))) -1)
(+.f64 (neg.f64 (/.f64 1/2 (pow.f64 N 2))) (/.f64 1 N))
(+.f64 -2 (-.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))))
(+.f64 (-.f64 1 (/.f64 1/2 (pow.f64 N 2))) (+.f64 (/.f64 1 N) -1))
(+.f64 (-.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))) -2)
(+.f64 (.f64 1/2 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) (.f64 1/2 (-.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 -1 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)))
(.f64 1/2 (.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) -2))
(*.f64 1/2 (-.f64 (/.f64 2 N) (/.f64 1 (pow.f64 N 2))))
(*.f64 1/2 (-.f64 (+.f64 -2 (/.f64 2 N)) (+.f64 -2 (/.f64 1 (pow.f64 N 2)))))
(.f64 2 (.f64 1/2 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))))
(*.f64 2 (-.f64 (/.f64 1/2 N) (/.f64 1/4 (pow.f64 N 2))))
(.f64 2 (-.f64 (+.f64 -1/2 (/.f64 1/2 N)) (.f64 1/2 (+.f64 -1 (/.f64 1/2 (pow.f64 N 2))))))
(*.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 1)
(*.f64 4 (/.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4))
(.f64 (.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) -2) 1/2)
(*.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) -1)
(.f64 (.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4) 1/4)
(.f64 1/4 (.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4))
(.f64 1/4 (-.f64 (/.f64 4 N) (.f64 (/.f64 1/2 (pow.f64 N 2)) 4)))
(.f64 (.f64 1/2 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 2)
(*.f64 (/.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4) 4)
(/.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 1)
(/.f64 (*.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) -2) 2)
(/.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) -1)
(/.f64 (*.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4) 4)
(/.f64 (*.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)))) -4)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4))) 16)
(/.f64 (neg.f64 (*.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4))) (.f64 2 (.f64 2 (.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4)))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)))) (neg.f64 (.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))))) 4)
(pow.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 1)
(neg.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)))

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

eval25.0ms (0.3%)

Compiler: Compiled 1158 to 959 computations (17.2% saved)

prune73.0ms (1%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	1	1
Done	0	8	8
Total	78	10	88

Error

0.1b

Counts

88 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.7b	(/.f64 1 N)
✓	31.9b	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓	61.5b	(-.f64 (+.f64 (/.f64 1 N) -1) (+.f64 -1 (/.f64 1/2 (pow.f64 N 2))))
✓	29.8b	(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 2) (log.f64 N))
✓	29.8b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	31.2b	(-.f64 N (log.f64 N))
✓	61.5b	(+.f64 (-.f64 (-.f64 (/.f64 1 N) -1) (/.f64 1/2 (pow.f64 N 2))) -1)
✓	31.2b	(+.f64 (+.f64 (-.f64 N (log.f64 N)) 2) -2)
✓	31.9b	(neg.f64 (log.f64 N))
	61.1b	N

Compiler

Compiled 81 to 64 computations (21% saved)

regimes21.0ms (0.3%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	N
6.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

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

Compiler

Compiled 93 to 66 computations (29% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.656996731635445e-9	0.004420504086492194

Compiler

Compiled 12 to 9 computations (25% saved)

regimes62.0ms (0.8%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

54.0ms	N
6.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

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

Compiler

Compiled 83 to 59 computations (28.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.656996731635445e-9	0.004420504086492194

Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
0.5b	2	`N`

Compiler

Compiled 68 to 49 computations (27.9% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	0.015074491759498378	134.1502373563882

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 180 to 145 computations (19.4% saved)

regimes12.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
0.8b	2	`N`

Compiler

Compiled 22 to 11 computations (50% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	0.015074491759498378	134.1502373563882

Results

17.0ms

128×

body

256

valid

Compiler

Compiled 132 to 105 computations (20.5% saved)

regimes8.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

Inputs
N
(/.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:

7.0ms

Results

Error	Segments	Branch
0.8b	2	`N`

Compiler

Compiled 14 to 7 computations (50% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	0.015074491759498378	134.1502373563882

Results

16.0ms

128×

body

256

valid

Compiler

Compiled 100 to 73 computations (27% saved)

regimes7.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
1.0b	2	`N`

Compiler

Compiled 10 to 6 computations (40% saved)

bsearch19.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	0.015074491759498378	134.1502373563882

Results

18.0ms

128×

body

256

valid

Compiler

Compiled 92 to 73 computations (20.7% saved)

regimes5.0ms (0.1%)

Accuracy

Total -30.4b remaining (-99.2%)

Threshold costs -30.4b (-99.2%)

Counts

2 → 1

Calls

Call 1

Inputs
N
(/.f64 1 N)

Outputs
(/.f64 1 N)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
30.7b	1	`N`

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	316

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 3022314549036573/302231454903657293676544) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 2) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 3022314549036573/302231454903657293676544) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 N 8106479329266893/9007199254740992) (+.f64 (+.f64 (-.f64 N (log.f64 N)) 2) -2) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(if (<=.f64 N 1) (+.f64 (+.f64 (-.f64 N (log.f64 N)) 2) -2) (/.f64 1 N))
(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)
N

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 3022314549036573/302231454903657293676544) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 2) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 3022314549036573/302231454903657293676544) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 N 8106479329266893/9007199254740992) (+.f64 (+.f64 (-.f64 N (log.f64 N)) 2) -2) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(if (<=.f64 N 1) (+.f64 (+.f64 (-.f64 N (log.f64 N)) 2) -2) (/.f64 1 N))
(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)
N

Compiler

Compiled 124 to 92 computations (25.8% saved)

soundness0.0ms (0%)

end71.0ms (0.9%)

Compiler: Compiled 117 to 78 computations (33.3% saved)

Details

analyze3.0ms (0%)

sample4.1s (53.4%)

preprocess10.0ms (0.1%)

simplify10.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.1%)

series2.0ms (0%)

rewrite106.0ms (1.4%)

simplify314.0ms (4.1%)

eval38.0ms (0.5%)

prune25.0ms (0.3%)

localize19.0ms (0.2%)

series3.0ms (0%)

rewrite124.0ms (1.6%)

simplify121.0ms (1.6%)

localize3.0ms (0%)

localize4.0ms (0.1%)

localize8.0ms (0.1%)

series7.0ms (0.1%)

rewrite93.0ms (1.2%)

simplify311.0ms (4.1%)

localize14.0ms (0.2%)

series2.0ms (0%)

rewrite91.0ms (1.2%)

simplify86.0ms (1.1%)

eval350.0ms (4.6%)

prune44.0ms (0.6%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite110.0ms (1.5%)

simplify250.0ms (3.3%)

localize19.0ms (0.2%)

series1.0ms (0%)

rewrite100.0ms (1.3%)

simplify141.0ms (1.9%)

localize10.0ms (0.1%)

series0.0ms (0%)

rewrite77.0ms (1%)

simplify137.0ms (1.8%)

eval169.0ms (2.2%)

prune86.0ms (1.1%)

localize18.0ms (0.2%)

series0.0ms (0%)

rewrite100.0ms (1.3%)

simplify141.0ms (1.9%)

eval25.0ms (0.3%)

prune73.0ms (1%)

regimes21.0ms (0.3%)

bsearch0.0ms (0%)

regimes62.0ms (0.8%)

bsearch0.0ms (0%)

regimes15.0ms (0.2%)

bsearch16.0ms (0.2%)

regimes12.0ms (0.2%)

bsearch18.0ms (0.2%)

regimes8.0ms (0.1%)

bsearch18.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch19.0ms (0.3%)

regimes5.0ms (0.1%)

simplify6.0ms (0.1%)

soundness0.0ms (0%)

end71.0ms (0.9%)

Profiling