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)

sample4.0s (41.4%)

Results

1.1s	2106×	body	1024	valid
1.0s	284×	body	2048	valid
1.0s	1092×	body	512	valid
801.0ms	4774×	body	256	valid

Bogosity

preprocess83.0ms (0.9%)

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)

simplify8.0ms (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

29.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.7b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.2b	(log.f64 (+.f64 N 1))
✓	2.4b	(-.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	@	0	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
0.0ms	N	@	inf	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
0.0ms	N	@	-inf	(log.f64 (+.f64 N 1))
0.0ms	N	@	inf	(log.f64 (+.f64 N 1))

rewrite104.0ms (1.1%)

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)))))

simplify293.0ms (3.1%)

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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eval102.0ms (1.1%)

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

prune52.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	129	6	135
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	129	7	136

Error

0.1b

Counts

136 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.4b	(/.f64 1 N)
▶	31.3b	(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
	30.9b	(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
✓	29.7b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
▶	32.1b	(-.f64 N (log.f64 N))
▶	29.7b	(+.f64 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) -2)
▶	32.9b	(neg.f64 (log.f64 N))

Compiler

Compiled 122 to 98 computations (19.7% saved)

localize66.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
	2.2b	(log.f64 (+.f64 N 1))
✓	2.3b	(+.f64 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) -2)
	2.4b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Compiler

Compiled 41 to 28 computations (31.7% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite115.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1708×	`rational.json-1`
1708×	`rational.json-2`
1708×	`rational.json-3`
1640×	`rational.json-4`
1304×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	91	21
2	178	21
3	344	21
4	697	21
5	1750	21
6	3914	21
7	5667	21
8	7430	21

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

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

Outputs

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

simplify268.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1930×	`rational.json-simplify-35`
1488×	`rational.json-simplify-2`
1310×	`rational.json-simplify-1`
974×	`rational.json-simplify-48`
868×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	1547
1	325	1537
2	753	1535
3	2843	1535
4	5198	1535
5	6365	1535
6	6831	1535
7	7013	1535
8	7176	1535
9	7333	1535
10	7803	1535

Stop Event

1×	node limit

Counts

61 → 73

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

Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (neg.f64 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (neg.f64 (log.f64 N))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (+.f64 (.f64 1/3 (pow.f64 N 3)) (+.f64 (.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (+.f64 (neg.f64 (log.f64 N)) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3)))))
(+.f64 (+.f64 N (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 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 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))))
(-.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 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 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))))
(-.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 (-.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (-.f64 (+.f64 (log.f64 N) -1) -1))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) 2)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 0 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 -1 (+.f64 (log.f64 N) (-.f64 -1 (log.f64 (+.f64 N 1)))))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.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 1/2 (-.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) -1)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (+.f64 1 (log.f64 (+.f64 N 1))) (+.f64 1 (log.f64 N)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (+.f64 (log.f64 (+.f64 N 1)) -1) (+.f64 (log.f64 N) -1))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (+.f64 (+.f64 1 (log.f64 (+.f64 N 1))) -1) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (+.f64 1 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2)) (-.f64 (.f64 1/2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) -1))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (-.f64 (+.f64 1 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2)) 1) (.f64 1/2 (-.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))) (*.f64 1/2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))) (log.f64 (sqrt.f64 N)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (-.f64 (+.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) -1) -1) (.f64 1/2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 -1 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 -1 (.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) 2))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) 1/2)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 4 (.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 1))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 4 (.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) 1/2))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 4 (-.f64 (/.f64 (log.f64 (+.f64 N 1)) 4) (/.f64 (log.f64 N) 4)))
(.f64 4 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 1/2) (/.f64 (log.f64 N) 4)))
(.f64 4 (-.f64 (.f64 1/2 (log.f64 (sqrt.f64 (+.f64 N 1)))) (/.f64 (log.f64 N) 4)))
(*.f64 4 (-.f64 (log.f64 (sqrt.f64 (sqrt.f64 (+.f64 N 1)))) (/.f64 (log.f64 N) 4)))
(.f64 4 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 1/4) (/.f64 (log.f64 N) 4)))
(.f64 4 (-.f64 (.f64 1/4 (log.f64 (+.f64 N 1))) (/.f64 (log.f64 N) 4)))
(.f64 4 (-.f64 (.f64 (/.f64 (log.f64 (+.f64 N 1)) 4) 1) (/.f64 (log.f64 N) 4)))
(*.f64 4 (-.f64 (/.f64 (log.f64 (+.f64 N 1)) 4) (/.f64 (log.f64 N) 4)))
(*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 1/4)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 1/2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) 2)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 1/4 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 (.f64 1/2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) -2)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.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 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8) 8)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2) -2)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)) 16)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4) -4)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))) 32)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -4)) -8)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)))) 64)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(pow.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(neg.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

localize2.0ms (0%)

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

localize4.0ms (0%)

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 8 to 3 computations (62.5% saved)

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))

rewrite96.0ms (1%)

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 (3.2%)

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))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series5.0ms (0.1%)

Counts

3 → 15

Calls

9 calls:

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

rewrite92.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1656×	`rational.json-1`
1656×	`rational.json-2`
1224×	`rational.json-simplify-61`
1142×	`rational.json-simplify-35`
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	2539	51
6	7366	51

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(*.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 (*.f64 (pow.f64 N 2) 1/2) (/.f64 2 (pow.f64 (*.f64 N N) 2)))))) (#(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 (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 1/4 (pow.f64 N 2)) 4)))) (#(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 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 (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 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 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 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 (/.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)))))))

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

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1568×	`rational.json-simplify-35`
1526×	`rational.json-simplify-53`
1146×	`rational.json-simplify-46`
998×	`rational.json-simplify-41`
902×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	264	2497
1	720	2489
2	2172	2489
3	5737	2489

Stop Event

1×	node limit

Counts

155 → 146

Calls

Call 1

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

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

eval186.0ms (1.9%)

Compiler: Compiled 6110 to 4704 computations (23% saved)

prune102.0ms (1.1%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	408	4	412
Fresh	0	1	1
Picked	1	0	1
Done	0	5	5
Total	409	10	419

Error

0.1b

Counts

419 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.4b	(/.f64 1 N)
▶	31.3b	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
▶	30.9b	(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
✓	29.7b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	32.1b	(-.f64 N (log.f64 N))
▶	59.4b	(+.f64 (+.f64 (/.f64 1 N) 2) -2)
✓	29.7b	(+.f64 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) -2)
▶	60.8b	(+.f64 (+.f64 1 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) -1)
✓	32.9b	(neg.f64 (log.f64 N))
	61.0b	N

Compiler

Compiled 87 to 70 computations (19.5% saved)

localize20.0ms (0.2%)

Local error

Found 3 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))
✓	2.3b	(+.f64 (+.f64 1 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) -1)

Compiler

Compiled 50 to 40 computations (20% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite100.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1848×	`rational.json-1`
1122×	`rational.json-simplify-35`
1028×	`rational.json-2`
1028×	`rational.json-4`
1028×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	87
1	100	63
2	219	63
3	488	63
4	1097	63
5	3326	63
6	7878	63

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

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

Outputs

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

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

simplify131.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1314×	`rational.json-simplify-35`
1116×	`rational.json-simplify-2`
992×	`rational.json-simplify-42`
722×	`rational.json-simplify-1`
664×	`rational.json-simplify-51`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	163	4465
1	310	3505
2	747	3505
3	2441	3505
4	4991	3505
5	7435	3505

Stop Event

1×	node limit

Counts

139 → 99

Calls

Call 1

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.3b	(+.f64 (+.f64 (/.f64 1 N) 2) -2)

Compiler

Compiled 20 to 16 computations (20% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite79.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1330×	`rational.json-1`
1330×	`rational.json-2`
1330×	`rational.json-4`
1330×	`rational.json-3`
1326×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	70	7
2	155	7
3	305	7
4	654	7
5	1828	7
6	5225	7

Stop Event

1×	node limit

Counts

1 → 102

Calls

Call 1

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

Outputs

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

simplify189.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1020×	`rational.json-simplify-38`
918×	`rational.json-simplify-43`
864×	`rational.json-simplify-41`
724×	`rational.json-simplify-39`
622×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	225	1116
1	671	1116
2	2555	1068
3	5153	1020

Stop Event

1×	node limit

Counts

114 → 107

Calls

Call 1

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

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

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
✓	0.2b	(/.f64 1 (pow.f64 N 3))
	0.5b	(/.f64 1 (pow.f64 N 2))
✓	12.4b	(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))

Compiler

Compiled 70 to 57 computations (18.6% saved)

series2.0ms (0%)

Counts

3 → 20

Calls

9 calls:

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

rewrite74.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1702×	`rational.json-simplify-35`
1360×	`rational.json-1`
1360×	`rational.json-2`
1360×	`rational.json-4`
1360×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	87
1	125	87
2	268	87
3	567	81
4	1300	81
5	4096	81

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

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

Outputs

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

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

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

simplify93.0ms (1%)

Algorithm

1×	egg-herbie

Rules

906×	`rational.json-simplify-44`
822×	`rational.json-simplify-61`
816×	`rational.json-simplify-2`
804×	`rational.json-simplify-47`
748×	`rational.json-simplify-46`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	3069
1	315	3069
2	712	3069
3	2003	3069
4	4950	3069

Stop Event

1×	node limit

Counts

105 → 113

Calls

Call 1

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

Outputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 (/.f64 -1 (pow.f64 N 3)) -1/3) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 (/.f64 1/2 (pow.f64 N 3)) 2/3) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (.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 (pow.f64 N 3)) -1/3) (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (.f64 (/.f64 1/2 (pow.f64 N 3)) 2/3) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
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(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (.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 (pow.f64 N 3)) -1/3) (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
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(-.f64 (+.f64 (.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
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(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
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(-.f64 (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
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(*.f64 (/.f64 1 (pow.f64 N 3)) 1)
(/.f64 1 (pow.f64 N 3))
(.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) 3)
(/.f64 1 (pow.f64 N 3))
(*.f64 1/2 (/.f64 2 (pow.f64 N 3)))
(/.f64 1 (pow.f64 N 3))
(*.f64 2 (/.f64 1/2 (pow.f64 N 3)))
(/.f64 1 (pow.f64 N 3))
(.f64 2 (.f64 3 (*.f64 1/3 (/.f64 1/2 (pow.f64 N 3)))))
(/.f64 1 (pow.f64 N 3))
(.f64 (.f64 (pow.f64 N 3) 2) (/.f64 1/2 (pow.f64 (*.f64 N N) 3)))
(.f64 (pow.f64 N 3) (.f64 2 (/.f64 1/2 (pow.f64 (*.f64 N N) 3))))
(.f64 2 (.f64 (/.f64 1/2 (pow.f64 (*.f64 N N) 3)) (pow.f64 N 3)))
(.f64 2 (.f64 (pow.f64 N 3) (/.f64 1/2 (pow.f64 (*.f64 N N) 3))))
(*.f64 4 (/.f64 (/.f64 1 (pow.f64 N 3)) 4))
(/.f64 1 (pow.f64 N 3))
(*.f64 (/.f64 2 (pow.f64 N 3)) 1/2)
(/.f64 1 (pow.f64 N 3))
(.f64 (.f64 1/3 (/.f64 2 (pow.f64 N 3))) 3/2)
(/.f64 1 (pow.f64 N 3))
(.f64 (.f64 (/.f64 1 (pow.f64 N 3)) 4) 1/4)
(/.f64 1 (pow.f64 N 3))
(.f64 2/3 (.f64 3 (/.f64 1/2 (pow.f64 N 3))))
(/.f64 1 (pow.f64 N 3))
(.f64 (.f64 3 (/.f64 1 (pow.f64 N 3))) 1/3)
(/.f64 1 (pow.f64 N 3))
(.f64 1/4 (.f64 (/.f64 1 (pow.f64 N 3)) 4))
(/.f64 1 (pow.f64 N 3))
(.f64 (.f64 (pow.f64 N 3) 1/2) (/.f64 2 (pow.f64 (*.f64 N N) 3)))
(.f64 (pow.f64 N 3) (.f64 1/2 (/.f64 2 (pow.f64 (*.f64 N N) 3))))
(.f64 1/2 (.f64 (/.f64 2 (pow.f64 (*.f64 N N) 3)) (pow.f64 N 3)))
(.f64 1/2 (.f64 (pow.f64 N 3) (/.f64 2 (pow.f64 (*.f64 N N) 3))))
(*.f64 (/.f64 1/2 (pow.f64 N 3)) 2)
(/.f64 1 (pow.f64 N 3))
(.f64 (/.f64 1 (pow.f64 (.f64 N N) 3)) (pow.f64 N 3))
(.f64 (pow.f64 N 3) (/.f64 1 (pow.f64 (.f64 N N) 3)))
(.f64 (/.f64 2 (pow.f64 (.f64 N N) 3)) (*.f64 (pow.f64 N 3) 1/2))
(.f64 (pow.f64 N 3) (.f64 1/2 (/.f64 2 (pow.f64 (*.f64 N N) 3))))
(.f64 1/2 (.f64 (/.f64 2 (pow.f64 (*.f64 N N) 3)) (pow.f64 N 3)))
(.f64 1/2 (.f64 (pow.f64 N 3) (/.f64 2 (pow.f64 (*.f64 N N) 3))))
(.f64 3/2 (.f64 1/3 (/.f64 2 (pow.f64 N 3))))
(/.f64 1 (pow.f64 N 3))
(.f64 1/8 (/.f64 (.f64 (pow.f64 N 3) 8) (pow.f64 (*.f64 N N) 3)))
(/.f64 1 (pow.f64 N 3))
(.f64 (/.f64 (.f64 (pow.f64 N 3) 8) (pow.f64 (*.f64 N N) 3)) 1/8)
(/.f64 1 (pow.f64 N 3))
(.f64 (/.f64 1/2 (pow.f64 (.f64 N N) 3)) (*.f64 (pow.f64 N 3) 2))
(.f64 (pow.f64 N 3) (.f64 2 (/.f64 1/2 (pow.f64 (*.f64 N N) 3))))
(.f64 2 (.f64 (/.f64 1/2 (pow.f64 (*.f64 N N) 3)) (pow.f64 N 3)))
(.f64 2 (.f64 (pow.f64 N 3) (/.f64 1/2 (pow.f64 (*.f64 N N) 3))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 N 3)) 4) 4)
(/.f64 1 (pow.f64 N 3))
(.f64 (.f64 3 (/.f64 1/2 (pow.f64 N 3))) 2/3)
(/.f64 1 (pow.f64 N 3))
(.f64 (.f64 3 (*.f64 1/3 (/.f64 1/2 (pow.f64 N 3)))) 2)
(/.f64 1 (pow.f64 N 3))
(pow.f64 (/.f64 1 (pow.f64 N 3)) 1)
(/.f64 1 (pow.f64 N 3))
(neg.f64 (/.f64 -1 (pow.f64 N 3)))
(/.f64 1 (pow.f64 N 3))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) 0)
(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
(*.f64 (/.f64 -1 (pow.f64 N 3)) -1/3)
(*.f64 (/.f64 1/2 (pow.f64 N 3)) 2/3)
(*.f64 (/.f64 2 (pow.f64 N 3)) 1/6)
(+.f64 0 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))
(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
(*.f64 (/.f64 -1 (pow.f64 N 3)) -1/3)
(*.f64 (/.f64 1/2 (pow.f64 N 3)) 2/3)
(*.f64 (/.f64 2 (pow.f64 N 3)) 1/6)
(+.f64 (.f64 1/3 (/.f64 1/2 (pow.f64 N 3))) (.f64 1/3 (/.f64 1/2 (pow.f64 N 3))))
(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
(*.f64 (/.f64 -1 (pow.f64 N 3)) -1/3)
(*.f64 (/.f64 1/2 (pow.f64 N 3)) 2/3)
(*.f64 (/.f64 2 (pow.f64 N 3)) 1/6)
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) 0)
(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
(*.f64 (/.f64 -1 (pow.f64 N 3)) -1/3)
(*.f64 (/.f64 1/2 (pow.f64 N 3)) 2/3)
(*.f64 (/.f64 2 (pow.f64 N 3)) 1/6)
(/.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) 1)
(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
(*.f64 (/.f64 -1 (pow.f64 N 3)) -1/3)
(*.f64 (/.f64 1/2 (pow.f64 N 3)) 2/3)
(*.f64 (/.f64 2 (pow.f64 N 3)) 1/6)
(/.f64 (*.f64 1/3 (/.f64 2 (pow.f64 N 3))) 2)
(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
(*.f64 (/.f64 -1 (pow.f64 N 3)) -1/3)
(*.f64 (/.f64 1/2 (pow.f64 N 3)) 2/3)
(*.f64 (/.f64 2 (pow.f64 N 3)) 1/6)
(/.f64 (*.f64 (/.f64 1 (pow.f64 N 3)) 4/3) 4)
(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
(*.f64 (/.f64 -1 (pow.f64 N 3)) -1/3)
(*.f64 (/.f64 1/2 (pow.f64 N 3)) 2/3)
(*.f64 (/.f64 2 (pow.f64 N 3)) 1/6)
(/.f64 (.f64 2 (.f64 (/.f64 1 (pow.f64 N 3)) 4/3)) 8)
(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
(*.f64 (/.f64 -1 (pow.f64 N 3)) -1/3)
(*.f64 (/.f64 1/2 (pow.f64 N 3)) 2/3)
(*.f64 (/.f64 2 (pow.f64 N 3)) 1/6)
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 1 (pow.f64 N 3)) 4/3))) 16)
(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
(*.f64 (/.f64 -1 (pow.f64 N 3)) -1/3)
(*.f64 (/.f64 1/2 (pow.f64 N 3)) 2/3)
(*.f64 (/.f64 2 (pow.f64 N 3)) 1/6)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (/.f64 1 (pow.f64 N 3)) 4/3))) (.f64 2 (.f64 2 (.f64 (/.f64 1 (pow.f64 N 3)) 4/3)))) 32)
(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
(*.f64 (/.f64 -1 (pow.f64 N 3)) -1/3)
(*.f64 (/.f64 1/2 (pow.f64 N 3)) 2/3)
(*.f64 (/.f64 2 (pow.f64 N 3)) 1/6)
(pow.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) 1)
(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
(*.f64 (/.f64 -1 (pow.f64 N 3)) -1/3)
(*.f64 (/.f64 1/2 (pow.f64 N 3)) 2/3)
(*.f64 (/.f64 2 (pow.f64 N 3)) 1/6)

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)

eval279.0ms (2.9%)

Compiler: Compiled 6374 to 5048 computations (20.8% saved)

prune91.0ms (1%)

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	387	9	396
Fresh	0	1	1
Picked	0	1	1
Done	2	6	8
Total	389	17	406

Error

0.1b

Counts

406 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.6b	(/.f64 (/.f64 2 (*.f64 N N)) (/.f64 2 N))
	54.0b	(/.f64 (.f64 N N) (/.f64 (.f64 (.f64 N N) (.f64 N N)) N))
	46.6b	(/.f64 (.f64 N 1/2) (/.f64 (.f64 N N) 2))
▶	46.6b	(/.f64 N (*.f64 N N))
▶	46.5b	(/.f64 2 (/.f64 (.f64 2 (.f64 N N)) N))
✓	30.4b	(/.f64 1 N)
	60.8b	(-.f64 (/.f64 (+.f64 N 1) N) (-.f64 1 (/.f64 -1/2 (pow.f64 N 2))))
✓	31.3b	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
▶	31.8b	(-.f64 (/.f64 1 N) (-.f64 (+.f64 1 (/.f64 1/2 (pow.f64 N 2))) 1))
▶	30.9b	(-.f64 (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
✓	29.7b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	32.1b	(-.f64 N (log.f64 N))
✓	59.4b	(+.f64 (+.f64 (/.f64 1 N) 2) -2)
✓	29.7b	(+.f64 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) -2)
	46.6b	(.f64 (/.f64 1 (.f64 N N)) N)
✓	32.9b	(neg.f64 (log.f64 N))
	61.0b	N

Compiler

Compiled 261 to 185 computations (29.1% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 2 (pow.f64 N 3)) 1/6)
✓	0.2b	(/.f64 2 (pow.f64 N 3))
	0.5b	(/.f64 1/2 (pow.f64 N 2))
✓	12.4b	(-.f64 (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))

Compiler

Compiled 61 to 49 computations (19.7% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	N	@	0	(/.f64 2 (pow.f64 N 3))
0.0ms	N	@	inf	(/.f64 2 (pow.f64 N 3))
0.0ms	N	@	-inf	(/.f64 2 (pow.f64 N 3))
0.0ms	N	@	0	(-.f64 (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
0.0ms	N	@	-inf	(-.f64 (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))

rewrite70.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1622×	`rational.json-simplify-35`
1300×	`rational.json-1`
1300×	`rational.json-2`
1300×	`rational.json-4`
1300×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	81
1	121	81
2	272	81
3	607	81
4	1343	81
5	3999	81

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs
(-.f64 (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
(/.f64 2 (pow.f64 N 3))
(*.f64 (/.f64 2 (pow.f64 N 3)) 1/6)

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/12) (*.f64 (/.f64 2 (pow.f64 N 3)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 2 (pow.f64 N 3)) 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 2 (pow.f64 N 3)) 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 2 (pow.f64 N 3)) 2/3))) (*.f64 2 (*.f64 2 (*.f64 (/.f64 2 (pow.f64 N 3)) 2/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) 1)))))

simplify98.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1198×	`rational.json-simplify-35`
1058×	`rational.json-simplify-54`
968×	`rational.json-simplify-55`
888×	`rational.json-simplify-2`
832×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	3053
1	321	3053
2	769	3053
3	2496	3053
4	5385	3053

Stop Event

1×	node limit

Counts

101 → 95

Calls

Call 1

Inputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N)) (neg.f64 (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 0)
(+.f64 0 (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))))
(+.f64 (-.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1/2 (pow.f64 N 2))) (/.f64 1 N))
(+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6))
(+.f64 -1 (+.f64 1 (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))))
(+.f64 -1 (+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1))))
(+.f64 (neg.f64 (/.f64 1/2 (pow.f64 N 2))) (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N)))
(+.f64 (+.f64 1 (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))) -1)
(+.f64 (.f64 1/2 (+.f64 (.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))) (.f64 1/2 (+.f64 (.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))))
(+.f64 (+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1))) -1)
(.f64 2 (.f64 1/2 (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))))
(.f64 1 (+.f64 (.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))))
(.f64 1/2 (.f64 2 (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))))
(.f64 (+.f64 (.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 1)
(.f64 4 (/.f64 (+.f64 (.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 4))
(.f64 (.f64 2 (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))) 1/2)
(.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N))) -1)
(.f64 -1 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N))))
(.f64 (.f64 (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 4))
(.f64 (.f64 1/2 (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))) 2)
(.f64 (/.f64 (+.f64 (.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 4) 4)
(/.f64 (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 1)
(/.f64 (.f64 2 (+.f64 (.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))) 2)
(/.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N))) -1)
(/.f64 (.f64 (+.f64 (.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.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 (.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N)))) -2)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.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 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N))))) -4)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.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 (.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N))))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.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 (.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N))))) (neg.f64 (.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N)))))) 4)
(pow.f64 (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 1)
(neg.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N))))
(+.f64 (/.f64 2 (pow.f64 N 3)) 0)
(+.f64 0 (/.f64 2 (pow.f64 N 3)))
(+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 3)))
(-.f64 (/.f64 2 (pow.f64 N 3)) 0)
(*.f64 2 (/.f64 1 (pow.f64 N 3)))
(.f64 (pow.f64 N 3) (/.f64 1/2 (.f64 (pow.f64 N 3) (*.f64 (pow.f64 N 3) 1/4))))
(*.f64 (/.f64 2 (pow.f64 N 3)) 1)
(*.f64 1 (/.f64 2 (pow.f64 N 3)))
(*.f64 1/2 (/.f64 4 (pow.f64 N 3)))
(*.f64 4 (/.f64 (/.f64 2 (pow.f64 N 3)) 4))
(.f64 (.f64 2 (pow.f64 N 3)) (/.f64 1/2 (.f64 (pow.f64 N 3) (.f64 (pow.f64 N 3) 1/2))))
(*.f64 (/.f64 4 (pow.f64 N 3)) 1/2)
(.f64 (.f64 (pow.f64 N 3) 1/2) (/.f64 1 (.f64 (pow.f64 N 3) (.f64 (pow.f64 N 3) 1/4))))
(.f64 (.f64 2 (/.f64 4 (pow.f64 N 3))) 1/4)
(*.f64 (/.f64 1 (pow.f64 N 3)) 2)
(.f64 1/4 (.f64 2 (/.f64 4 (pow.f64 N 3))))
(.f64 1/4 (/.f64 (.f64 2 (pow.f64 N 3)) (.f64 (pow.f64 N 3) (.f64 (pow.f64 N 3) 1/4))))
(.f64 (.f64 (pow.f64 N 3) 1/4) (/.f64 2 (.f64 (pow.f64 N 3) (.f64 (pow.f64 N 3) 1/4))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 N 3) 4) (.f64 (pow.f64 N 3) (.f64 (pow.f64 N 3) 1/4))))
(.f64 (/.f64 (.f64 2 (pow.f64 N 3)) (.f64 (pow.f64 N 3) (.f64 (pow.f64 N 3) 1/4))) 1/4)
(.f64 (/.f64 (.f64 (pow.f64 N 3) 4) (.f64 (pow.f64 N 3) (.f64 (pow.f64 N 3) 1/4))) 1/8)
(.f64 (/.f64 2 (.f64 (pow.f64 N 3) (.f64 (pow.f64 N 3) 1/4))) (.f64 (pow.f64 N 3) 1/4))
(.f64 (/.f64 1 (.f64 (pow.f64 N 3) (.f64 (pow.f64 N 3) 1/4))) (.f64 (pow.f64 N 3) 1/2))
(.f64 (/.f64 1/2 (.f64 (pow.f64 N 3) (*.f64 (pow.f64 N 3) 1/4))) (pow.f64 N 3))
(.f64 (/.f64 1/2 (.f64 (pow.f64 N 3) (.f64 (pow.f64 N 3) 1/2))) (.f64 2 (pow.f64 N 3)))
(*.f64 (/.f64 (/.f64 2 (pow.f64 N 3)) 4) 4)
(pow.f64 (/.f64 2 (pow.f64 N 3)) 1)
(neg.f64 (/.f64 -2 (pow.f64 N 3)))
(+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) 0)
(+.f64 0 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6))
(+.f64 (.f64 (/.f64 2 (pow.f64 N 3)) 1/12) (.f64 (/.f64 2 (pow.f64 N 3)) 1/12))
(-.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) 0)
(/.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) 1)
(/.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/3) 2)
(/.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 2/3) 4)
(/.f64 (.f64 2 (.f64 (/.f64 2 (pow.f64 N 3)) 2/3)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 2 (pow.f64 N 3)) 2/3))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (/.f64 2 (pow.f64 N 3)) 2/3))) (.f64 2 (.f64 2 (.f64 (/.f64 2 (pow.f64 N 3)) 2/3)))) 32)
(pow.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) 1)

Outputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 (/.f64 -2 (pow.f64 N 3)) -1/6) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (.f64 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 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (.f64 (/.f64 -2 (pow.f64 N 3)) -1/6))
(+.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (/.f64 1 N))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (.f64 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 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (.f64 (/.f64 -2 (pow.f64 N 3)) -1/6))
(+.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (/.f64 1 N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
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(/.f64 (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 1)
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(/.f64 (.f64 2 (.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N))))) -4)
(+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 (/.f64 -2 (pow.f64 N 3)) -1/6)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 -1/2 (pow.f64 N 2))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 4))) 16)
(+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 (/.f64 -2 (pow.f64 N 3)) -1/6)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 -1/2 (pow.f64 N 2))))
(/.f64 (neg.f64 (.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N))))) 2)
(+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 (/.f64 -2 (pow.f64 N 3)) -1/6)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 -1/2 (pow.f64 N 2))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 4)))) 32)
(+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 (/.f64 -2 (pow.f64 N 3)) -1/6)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 -1/2 (pow.f64 N 2))))
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N))))) (neg.f64 (.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N)))))) 4)
(+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 (/.f64 -2 (pow.f64 N 3)) -1/6)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 -1/2 (pow.f64 N 2))))
(pow.f64 (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 1)
(+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 (/.f64 -2 (pow.f64 N 3)) -1/6)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 -1/2 (pow.f64 N 2))))
(neg.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N))))
(+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 (/.f64 -2 (pow.f64 N 3)) -1/6)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (/.f64 2 (pow.f64 N 3)) 0)
(/.f64 2 (pow.f64 N 3))
(+.f64 0 (/.f64 2 (pow.f64 N 3)))
(/.f64 2 (pow.f64 N 3))
(+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 3)))
(/.f64 2 (pow.f64 N 3))
(-.f64 (/.f64 2 (pow.f64 N 3)) 0)
(/.f64 2 (pow.f64 N 3))
(*.f64 2 (/.f64 1 (pow.f64 N 3)))
(/.f64 2 (pow.f64 N 3))
(.f64 (pow.f64 N 3) (/.f64 1/2 (.f64 (pow.f64 N 3) (*.f64 (pow.f64 N 3) 1/4))))
(/.f64 2 (pow.f64 N 3))
(*.f64 (/.f64 2 (pow.f64 N 3)) 1)
(/.f64 2 (pow.f64 N 3))
(*.f64 1 (/.f64 2 (pow.f64 N 3)))
(/.f64 2 (pow.f64 N 3))
(*.f64 1/2 (/.f64 4 (pow.f64 N 3)))
(/.f64 2 (pow.f64 N 3))
(*.f64 4 (/.f64 (/.f64 2 (pow.f64 N 3)) 4))
(/.f64 2 (pow.f64 N 3))
(.f64 (.f64 2 (pow.f64 N 3)) (/.f64 1/2 (.f64 (pow.f64 N 3) (.f64 (pow.f64 N 3) 1/2))))
(/.f64 2 (pow.f64 N 3))
(*.f64 (/.f64 4 (pow.f64 N 3)) 1/2)
(/.f64 2 (pow.f64 N 3))
(.f64 (.f64 (pow.f64 N 3) 1/2) (/.f64 1 (.f64 (pow.f64 N 3) (.f64 (pow.f64 N 3) 1/4))))
(/.f64 2 (pow.f64 N 3))
(.f64 (.f64 2 (/.f64 4 (pow.f64 N 3))) 1/4)
(/.f64 2 (pow.f64 N 3))
(*.f64 (/.f64 1 (pow.f64 N 3)) 2)
(/.f64 2 (pow.f64 N 3))
(.f64 1/4 (.f64 2 (/.f64 4 (pow.f64 N 3))))
(/.f64 2 (pow.f64 N 3))
(.f64 1/4 (/.f64 (.f64 2 (pow.f64 N 3)) (.f64 (pow.f64 N 3) (.f64 (pow.f64 N 3) 1/4))))
(/.f64 2 (pow.f64 N 3))
(.f64 (.f64 (pow.f64 N 3) 1/4) (/.f64 2 (.f64 (pow.f64 N 3) (.f64 (pow.f64 N 3) 1/4))))
(/.f64 2 (pow.f64 N 3))
(.f64 1/8 (/.f64 (.f64 (pow.f64 N 3) 4) (.f64 (pow.f64 N 3) (.f64 (pow.f64 N 3) 1/4))))
(/.f64 2 (pow.f64 N 3))
(.f64 (/.f64 (.f64 2 (pow.f64 N 3)) (.f64 (pow.f64 N 3) (.f64 (pow.f64 N 3) 1/4))) 1/4)
(/.f64 2 (pow.f64 N 3))
(.f64 (/.f64 (.f64 (pow.f64 N 3) 4) (.f64 (pow.f64 N 3) (.f64 (pow.f64 N 3) 1/4))) 1/8)
(/.f64 2 (pow.f64 N 3))
(.f64 (/.f64 2 (.f64 (pow.f64 N 3) (.f64 (pow.f64 N 3) 1/4))) (.f64 (pow.f64 N 3) 1/4))
(/.f64 2 (pow.f64 N 3))
(.f64 (/.f64 1 (.f64 (pow.f64 N 3) (.f64 (pow.f64 N 3) 1/4))) (.f64 (pow.f64 N 3) 1/2))
(/.f64 2 (pow.f64 N 3))
(.f64 (/.f64 1/2 (.f64 (pow.f64 N 3) (*.f64 (pow.f64 N 3) 1/4))) (pow.f64 N 3))
(/.f64 2 (pow.f64 N 3))
(.f64 (/.f64 1/2 (.f64 (pow.f64 N 3) (.f64 (pow.f64 N 3) 1/2))) (.f64 2 (pow.f64 N 3)))
(/.f64 2 (pow.f64 N 3))
(*.f64 (/.f64 (/.f64 2 (pow.f64 N 3)) 4) 4)
(/.f64 2 (pow.f64 N 3))
(pow.f64 (/.f64 2 (pow.f64 N 3)) 1)
(/.f64 2 (pow.f64 N 3))
(neg.f64 (/.f64 -2 (pow.f64 N 3)))
(/.f64 2 (pow.f64 N 3))
(+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) 0)
(*.f64 (/.f64 2 (pow.f64 N 3)) 1/6)
(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
(*.f64 (/.f64 -2 (pow.f64 N 3)) -1/6)
(+.f64 0 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6))
(*.f64 (/.f64 2 (pow.f64 N 3)) 1/6)
(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
(*.f64 (/.f64 -2 (pow.f64 N 3)) -1/6)
(+.f64 (.f64 (/.f64 2 (pow.f64 N 3)) 1/12) (.f64 (/.f64 2 (pow.f64 N 3)) 1/12))
(*.f64 (/.f64 2 (pow.f64 N 3)) 1/6)
(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
(*.f64 (/.f64 -2 (pow.f64 N 3)) -1/6)
(-.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) 0)
(*.f64 (/.f64 2 (pow.f64 N 3)) 1/6)
(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
(*.f64 (/.f64 -2 (pow.f64 N 3)) -1/6)
(/.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) 1)
(*.f64 (/.f64 2 (pow.f64 N 3)) 1/6)
(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
(*.f64 (/.f64 -2 (pow.f64 N 3)) -1/6)
(/.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/3) 2)
(*.f64 (/.f64 2 (pow.f64 N 3)) 1/6)
(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
(*.f64 (/.f64 -2 (pow.f64 N 3)) -1/6)
(/.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 2/3) 4)
(*.f64 (/.f64 2 (pow.f64 N 3)) 1/6)
(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
(*.f64 (/.f64 -2 (pow.f64 N 3)) -1/6)
(/.f64 (.f64 2 (.f64 (/.f64 2 (pow.f64 N 3)) 2/3)) 8)
(*.f64 (/.f64 2 (pow.f64 N 3)) 1/6)
(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
(*.f64 (/.f64 -2 (pow.f64 N 3)) -1/6)
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 2 (pow.f64 N 3)) 2/3))) 16)
(*.f64 (/.f64 2 (pow.f64 N 3)) 1/6)
(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
(*.f64 (/.f64 -2 (pow.f64 N 3)) -1/6)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (/.f64 2 (pow.f64 N 3)) 2/3))) (.f64 2 (.f64 2 (.f64 (/.f64 2 (pow.f64 N 3)) 2/3)))) 32)
(*.f64 (/.f64 2 (pow.f64 N 3)) 1/6)
(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
(*.f64 (/.f64 -2 (pow.f64 N 3)) -1/6)
(pow.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) 1)
(*.f64 (/.f64 2 (pow.f64 N 3)) 1/6)
(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
(*.f64 (/.f64 -2 (pow.f64 N 3)) -1/6)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	29.9b	(/.f64 N (*.f64 N N))

Compiler

Compiled 10 to 3 computations (70% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite140.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1288×	`rational.json-simplify-35`
1024×	`rational.json-simplify-38`
1002×	`rational.json-simplify-19`
744×	`exponential.json-3`
744×	`rational.json-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	39	13
2	138	7
3	496	7
4	2050	7
5	7536	7

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

Inputs
(/.f64 N (*.f64 N N))

Outputs

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

simplify110.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1450×	`rational.json-simplify-57`
1074×	`rational.json-simplify-35`
1024×	`rational.json-simplify-59`
952×	`rational.json-simplify-2`
816×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	83	536
1	160	536
2	373	524
3	1256	524
4	3660	524
5	7966	524

Stop Event

1×	node limit

Counts

56 → 49

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (.f64 N N))
✓	29.8b	(/.f64 (.f64 2 (.f64 N N)) N)

Compiler

Compiled 27 to 13 computations (51.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite152.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1220×	`rational.json-simplify-35`
1204×	`rational.json-simplify-38`
822×	`rational.json-simplify-53`
718×	`exponential.json-3`
718×	`rational.json-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	54	32
2	169	32
3	498	20
4	2316	20
5	7973	20

Stop Event

1×	node limit

Counts

2 → 227

Calls

Call 1

Inputs
(/.f64 (.f64 2 (.f64 N N)) N)
(.f64 2 (.f64 N N))

Outputs

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

simplify121.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1418×	`rational.json-simplify-35`
990×	`rational.json-simplify-49`
930×	`rational.json-simplify-44`
848×	`rational.json-simplify-43`
842×	`rational.json-simplify-38`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	530	7525
1	1618	6939
2	7148	6711

Stop Event

1×	node limit

Counts

251 → 450

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 2 (*.f64 N N))
✓	29.6b	(/.f64 (/.f64 2 (*.f64 N N)) (/.f64 2 N))

Compiler

Compiled 23 to 12 computations (47.8% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite88.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1296×	`rational.json-simplify-50`
1252×	`exponential.json-3`
1252×	`rational.json-1`
1252×	`rational.json-2`
1252×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	38
1	68	26
2	264	26
3	1220	20
4	4488	20

Stop Event

1×	node limit

Counts

2 → 143

Calls

Call 1

Inputs
(/.f64 (/.f64 2 (*.f64 N N)) (/.f64 2 N))
(/.f64 2 (*.f64 N N))

Outputs

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

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

simplify102.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1546×	`rational.json-simplify-35`
1340×	`rational.json-simplify-49`
1248×	`rational.json-simplify-46`
934×	`rational.json-simplify-43`
764×	`rational.json-simplify-19`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	3027
1	594	2955
2	1870	2509
3	7218	2509

Stop Event

1×	node limit

Counts

167 → 179

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 N) (-.f64 (+.f64 1 (/.f64 1/2 (pow.f64 N 2))) 1))
	0.5b	(/.f64 1/2 (pow.f64 N 2))
✓	2.2b	(-.f64 (+.f64 1 (/.f64 1/2 (pow.f64 N 2))) 1)

Compiler

Compiled 45 to 37 computations (17.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite103.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1868×	`rational.json-1`
1260×	`rational.json-simplify-35`
926×	`rational.json-2`
926×	`rational.json-4`
926×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	97	38
2	230	38
3	537	38
4	1257	38
5	3388	38
6	7576	38

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

Inputs
(-.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))

Outputs

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

simplify98.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1612×	`rational.json-simplify-35`
1354×	`rational.json-simplify-2`
996×	`rational.json-simplify-46`
804×	`rational.json-simplify-41`
780×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	265	3067
1	676	3051
2	2260	2805
3	6224	2805

Stop Event

1×	node limit

Counts

165 → 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 (/.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 1/2 (pow.f64 N 2)) -1))
(+.f64 2 (+.f64 (/.f64 1/2 (pow.f64 N 2)) -2))
(+.f64 (/.f64 1/2 (pow.f64 N 2)) 0)
(+.f64 (+.f64 1 (/.f64 1/2 (pow.f64 N 2))) -1)
(+.f64 0 (/.f64 1/2 (pow.f64 N 2)))
(+.f64 -1 (+.f64 1 (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1) 1)
(+.f64 (+.f64 2 (/.f64 1/2 (pow.f64 N 2))) -2)
(+.f64 -2 (+.f64 2 (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) -2) 2)
(+.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) 3) -3)
(+.f64 -3 (+.f64 (/.f64 1/2 (pow.f64 N 2)) 3))
(+.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 2)))
(*.f64 1 (/.f64 1/2 (pow.f64 N 2)))
(*.f64 1/2 (/.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 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 (pow.f64 N 2) 4) (/.f64 1 (.f64 8 (pow.f64 (.f64 N N) 2))))
(*.f64 (/.f64 1 (pow.f64 N 2)) 1/2)
(.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 (/.f64 1/2 (pow.f64 N 2)) 4) 4)
(.f64 (/.f64 1 (.f64 8 (pow.f64 (.f64 N N) 2))) (.f64 (pow.f64 N 2) 4))
(/.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 1/2 (pow.f64 N 2))
(/.f64 2 (*.f64 (pow.f64 N 2) 4))
(/.f64 2 (/.f64 (*.f64 (pow.f64 N 2) -2) -1/2))
(/.f64 2 (+.f64 (/.f64 (.f64 4 (pow.f64 (.f64 N N) 2)) (.f64 2 (pow.f64 N 2))) (/.f64 (.f64 4 (pow.f64 (.f64 N N) 2)) (.f64 2 (pow.f64 N 2)))))
(/.f64 2 (-.f64 0 (*.f64 (neg.f64 (pow.f64 N 2)) 4)))
(/.f64 2 (-.f64 0 (neg.f64 (*.f64 (pow.f64 N 2) 4))))
(/.f64 (pow.f64 N 2) (.f64 2 (pow.f64 (.f64 N N) 2)))
(/.f64 (pow.f64 N 2) (.f64 (.f64 8 (pow.f64 (*.f64 N N) 2)) 1/4))
(/.f64 (pow.f64 N 2) (/.f64 (pow.f64 (*.f64 N N) 2) 1/2))
(/.f64 (/.f64 1/2 (pow.f64 N 2)) 1)
(/.f64 -1 (*.f64 (pow.f64 N 2) -2))
(/.f64 (.f64 2 (pow.f64 N 2)) (.f64 4 (pow.f64 (*.f64 N N) 2)))
(/.f64 (.f64 2 (pow.f64 N 2)) (+.f64 (.f64 (.f64 8 (pow.f64 (.f64 N N) 2)) 1/4) (.f64 (.f64 8 (pow.f64 (*.f64 N N) 2)) 1/4)))
(/.f64 (.f64 2 (pow.f64 N 2)) (/.f64 (.f64 2 (pow.f64 (*.f64 N N) 2)) 1/2))
(/.f64 (.f64 2 (pow.f64 N 2)) (/.f64 (neg.f64 (.f64 4 (pow.f64 (*.f64 N N) 2))) -1))
(/.f64 (.f64 2 (pow.f64 N 2)) (/.f64 (pow.f64 (.f64 N N) 2) 1/4))
(/.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 (.f64 (pow.f64 N 2) 4) (.f64 8 (pow.f64 (*.f64 N N) 2)))
(/.f64 (/.f64 1 (pow.f64 N 2)) 2)
(/.f64 -1/2 (neg.f64 (pow.f64 N 2)))
(/.f64 (neg.f64 (pow.f64 N 2)) (-.f64 0 (.f64 2 (pow.f64 (.f64 N N) 2))))
(/.f64 8 (*.f64 (pow.f64 N 2) 16))
(/.f64 -2 (*.f64 (neg.f64 (pow.f64 N 2)) 4))
(/.f64 -2 (neg.f64 (*.f64 (pow.f64 N 2) 4)))
(/.f64 (.f64 (pow.f64 N 2) 8) (.f64 2 (.f64 8 (pow.f64 (.f64 N N) 2))))
(/.f64 (*.f64 2 (/.f64 1 (pow.f64 N 2))) 4)
(/.f64 (.f64 (pow.f64 N 2) -2) (neg.f64 (.f64 4 (pow.f64 (*.f64 N N) 2))))
(/.f64 16 (.f64 2 (.f64 (pow.f64 N 2) 16)))
(/.f64 -4 (.f64 2 (.f64 (neg.f64 (pow.f64 N 2)) 4)))
(/.f64 -4 (.f64 2 (neg.f64 (.f64 (pow.f64 N 2) 4))))
(/.f64 -4 (neg.f64 (*.f64 (pow.f64 N 2) 8)))
(/.f64 (.f64 (neg.f64 (pow.f64 N 2)) 4) (+.f64 (neg.f64 (.f64 4 (pow.f64 (.f64 N N) 2))) (neg.f64 (.f64 4 (pow.f64 (*.f64 N N) 2)))))
(/.f64 (.f64 (pow.f64 N 2) 16) (+.f64 (.f64 2 (.f64 8 (pow.f64 (.f64 N N) 2))) (.f64 2 (.f64 8 (pow.f64 (*.f64 N N) 2)))))
(/.f64 (*.f64 (/.f64 1/2 (pow.f64 N 2)) 8) 8)
(/.f64 (.f64 1/2 (pow.f64 N 2)) (pow.f64 (.f64 N N) 2))
(/.f64 1/4 (*.f64 1/2 (pow.f64 N 2)))
(/.f64 (/.f64 1/4 (pow.f64 N 2)) 1/2)
(/.f64 (/.f64 1/4 (pow.f64 (*.f64 N N) 2)) (/.f64 1/2 (pow.f64 N 2)))
(/.f64 (/.f64 1/2 (pow.f64 (*.f64 N N) 2)) (/.f64 1 (pow.f64 N 2)))
(/.f64 (neg.f64 (.f64 (pow.f64 N 2) 4)) (-.f64 0 (.f64 8 (pow.f64 (*.f64 N N) 2))))
(/.f64 32 (+.f64 (.f64 2 (.f64 (pow.f64 N 2) 16)) (.f64 2 (.f64 (pow.f64 N 2) 16))))
(/.f64 (.f64 2 (.f64 (/.f64 1/2 (pow.f64 N 2)) 8)) 16)
(/.f64 -8 (+.f64 (.f64 2 (.f64 (neg.f64 (pow.f64 N 2)) 4)) (.f64 2 (.f64 (neg.f64 (pow.f64 N 2)) 4))))
(/.f64 -8 (+.f64 (.f64 2 (neg.f64 (.f64 (pow.f64 N 2) 4))) (.f64 2 (neg.f64 (.f64 (pow.f64 N 2) 4)))))
(/.f64 -8 (+.f64 (neg.f64 (.f64 (pow.f64 N 2) 8)) (neg.f64 (.f64 (pow.f64 N 2) 8))))
(/.f64 -8 (-.f64 0 (*.f64 (pow.f64 N 2) 16)))
(/.f64 (/.f64 (pow.f64 N 2) (pow.f64 N 2)) (*.f64 2 (pow.f64 N 2)))
(/.f64 (/.f64 (.f64 (pow.f64 N 2) 8) (.f64 4 (pow.f64 (*.f64 N N) 2))) 4)
(/.f64 (/.f64 (pow.f64 N 2) (.f64 8 (pow.f64 (.f64 N N) 2))) 1/4)
(/.f64 (/.f64 (pow.f64 N 2) -2) (-.f64 0 (pow.f64 (*.f64 N N) 2)))
(/.f64 -1/4 (-.f64 0 (*.f64 1/2 (pow.f64 N 2))))
(/.f64 (/.f64 1/2 (*.f64 (pow.f64 N 2) 4)) 1/4)
(/.f64 (/.f64 2 (pow.f64 N 2)) 4)
(/.f64 (/.f64 (pow.f64 N 2) (*.f64 2 (pow.f64 N 2))) (pow.f64 N 2))
(/.f64 (/.f64 -1/2 (pow.f64 N 2)) -1)
(/.f64 (+.f64 (/.f64 (pow.f64 N 2) (.f64 2 (pow.f64 N 2))) (/.f64 (pow.f64 N 2) (.f64 2 (pow.f64 N 2)))) (*.f64 2 (pow.f64 N 2)))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 1/2 (pow.f64 N 2)) 8)) (.f64 2 (.f64 (/.f64 1/2 (pow.f64 N 2)) 8))) 32)
(/.f64 (+.f64 (/.f64 (pow.f64 N 2) (pow.f64 N 2)) (/.f64 (pow.f64 N 2) (pow.f64 N 2))) (*.f64 (pow.f64 N 2) 4))
(/.f64 (+.f64 (/.f64 (.f64 (pow.f64 N 2) 8) (.f64 4 (pow.f64 (.f64 N N) 2))) (/.f64 (.f64 (pow.f64 N 2) 8) (.f64 4 (pow.f64 (.f64 N N) 2)))) 8)
(/.f64 (+.f64 (/.f64 (pow.f64 N 2) (.f64 8 (pow.f64 (.f64 N N) 2))) (/.f64 (pow.f64 N 2) (.f64 8 (pow.f64 (.f64 N N) 2)))) 1/2)
(/.f64 (+.f64 (/.f64 1/2 (.f64 (pow.f64 N 2) 4)) (/.f64 1/2 (.f64 (pow.f64 N 2) 4))) 1/2)
(/.f64 (+.f64 (/.f64 2 (pow.f64 N 2)) (/.f64 2 (pow.f64 N 2))) 8)
(/.f64 (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/2 (pow.f64 N 2))) -2)
(/.f64 (neg.f64 (/.f64 (pow.f64 N 2) (pow.f64 N 2))) (*.f64 (pow.f64 N 2) -2))
(/.f64 (neg.f64 (/.f64 (pow.f64 N 2) (*.f64 2 (pow.f64 N 2)))) (neg.f64 (pow.f64 N 2)))
(pow.f64 (/.f64 1/2 (pow.f64 N 2)) 1)
(neg.f64 (/.f64 -1/2 (pow.f64 N 2)))
(+.f64 1 (+.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 (/.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 (+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) -1) 1)
(+.f64 (neg.f64 (/.f64 1/2 (pow.f64 N 2))) (/.f64 1 N))
(+.f64 (-.f64 -1 (/.f64 1/2 (pow.f64 N 2))) (+.f64 1 (/.f64 1 N)))
(+.f64 (+.f64 1 (/.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)))) -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 -1 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)))
(*.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 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 8)) 16)
(/.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 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
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(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(/.f64 1 N)
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(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
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(/.f64 1/2 (pow.f64 N 2))
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(.f64 1/4 (.f64 2 (/.f64 1 (pow.f64 N 2))))
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(+.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 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (.f64 1/2 (-.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) (*.f64 1/2 (/.f64 1 (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) (*.f64 1/2 (/.f64 1 (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) (*.f64 1/2 (/.f64 1 (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) (*.f64 1/2 (/.f64 1 (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) (*.f64 1/2 (/.f64 1 (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) (*.f64 1/2 (/.f64 1 (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) (*.f64 1/2 (/.f64 1 (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) (*.f64 1/2 (/.f64 1 (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) (*.f64 1/2 (/.f64 1 (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) (*.f64 1/2 (/.f64 1 (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) (*.f64 1/2 (/.f64 1 (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 1/4 (-.f64 (/.f64 4 N) (/.f64 (/.f64 1/2 (pow.f64 N 2)) 1/4)))
(.f64 (.f64 1/2 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 2)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (/.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4) 4)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(/.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 1)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(/.f64 (*.f64 2 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 2)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(/.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) -1)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(/.f64 (*.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4) 4)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(/.f64 (*.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))) -2)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(/.f64 (*.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 8) 8)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(/.f64 (*.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) 4) -4)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(/.f64 (.f64 2 (.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 8)) 16)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(/.f64 (neg.f64 (*.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)))) 2)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(/.f64 (+.f64 (.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) (*.f64 1/2 (/.f64 1 (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) (*.f64 1/2 (/.f64 1 (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) (*.f64 1/2 (/.f64 1 (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) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))

eval489.0ms (5.1%)

Compiler: Compiled 14989 to 9642 computations (35.7% saved)

prune203.0ms (2.1%)

Pruning

45 alts after pruning (33 fresh and 12 done)

	Pruned	Kept	Total
New	949	28	977
Fresh	0	5	5
Picked	0	1	1
Done	0	11	11
Total	949	45	994

Error

0.1b

Counts

994 → 45

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.6b	(/.f64 (/.f64 2 (*.f64 N N)) (/.f64 2 N))
	60.7b	(/.f64 (+.f64 -1 (-.f64 1 (neg.f64 (/.f64 2 (*.f64 N N))))) (/.f64 2 N))
	52.8b	(/.f64 (.f64 (/.f64 N (.f64 (.f64 N N) (.f64 N (*.f64 N 1/2)))) N) (/.f64 2 N))
	54.0b	(/.f64 (.f64 (/.f64 1 (.f64 (.f64 N N) (.f64 N (.f64 N 1/2)))) (.f64 N N)) (/.f64 2 N))
	54.0b	(/.f64 (.f64 N N) (/.f64 (.f64 (.f64 N N) (.f64 N N)) N))
	46.6b	(/.f64 (.f64 N 1/2) (/.f64 (.f64 N N) 2))
	54.0b	(/.f64 (.f64 1/2 (/.f64 (.f64 2 (.f64 N N)) (.f64 N (.f64 (.f64 N 1/2) (*.f64 N N))))) (/.f64 2 N))
✓	46.6b	(/.f64 N (*.f64 N N))
	50.8b	(/.f64 2 (/.f64 (/.f64 (/.f64 1/2 N) (/.f64 (*.f64 (/.f64 1/2 N) (/.f64 1/2 N)) N)) N))
	52.7b	(/.f64 2 (/.f64 (/.f64 (.f64 (.f64 (.f64 N N) (.f64 N N)) (/.f64 -2 N)) (neg.f64 N)) N))
	46.6b	(/.f64 2 (/.f64 (/.f64 (.f64 N N) (/.f64 1 (/.f64 (/.f64 2 N) (.f64 N (/.f64 (/.f64 1 N) N))))) N))
	46.5b	(/.f64 2 (/.f64 (/.f64 (neg.f64 N) (/.f64 -1/2 N)) N))
	47.5b	(/.f64 2 (/.f64 (+.f64 (-.f64 1 (.f64 (.f64 N N) -2)) -1) N))
✓	46.5b	(/.f64 2 (/.f64 (.f64 2 (.f64 N N)) N))
	46.6b	(/.f64 2 (/.f64 -2 (/.f64 N (*.f64 N (neg.f64 N)))))
	52.1b	(/.f64 2 (.f64 (/.f64 (/.f64 1 N) N) (.f64 N (/.f64 N (/.f64 1/2 N)))))
	52.1b	(/.f64 2 (.f64 (/.f64 N (/.f64 2 (.f64 N N))) (/.f64 (/.f64 4 N) N)))
	47.8b	(/.f64 2 (.f64 (/.f64 N (/.f64 2 N)) (/.f64 (.f64 N 4) (*.f64 N N))))
	52.3b	(/.f64 2 (.f64 (/.f64 N (.f64 (.f64 N N) (.f64 N 1/2))) (.f64 N (.f64 N N))))
	52.1b	(/.f64 2 (.f64 (/.f64 2 (.f64 N N)) (.f64 N (.f64 N N))))
	46.6b	(/.f64 2 (.f64 (/.f64 2 N) (.f64 N N)))
	52.1b	(/.f64 2 (.f64 (/.f64 1/2 (.f64 N N)) (/.f64 N (/.f64 (/.f64 1/4 N) N))))
	54.0b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 N N) (.f64 N N)) (/.f64 -2 N)) (/.f64 -1 (.f64 N N))))
	47.8b	(/.f64 2 (.f64 (.f64 N 4) (.f64 (/.f64 (/.f64 1/2 N) N) (.f64 N N))))
	52.1b	(/.f64 2 (.f64 (.f64 2 (.f64 N (.f64 N N))) (*.f64 (/.f64 1 N) (/.f64 1 N))))
	46.5b	(/.f64 2 (.f64 (neg.f64 N) (/.f64 (/.f64 (.f64 (*.f64 N N) -2) N) N)))
	52.1b	(/.f64 2 (.f64 N (.f64 (.f64 N N) (/.f64 N (.f64 N (.f64 N (.f64 N 1/2)))))))
✓	30.4b	(/.f64 1 N)
	60.8b	(-.f64 (/.f64 (+.f64 N 1) N) (-.f64 1 (/.f64 -1/2 (pow.f64 N 2))))
✓	31.3b	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓	31.8b	(-.f64 (/.f64 1 N) (-.f64 (+.f64 1 (/.f64 1/2 (pow.f64 N 2))) 1))
✓	30.9b	(-.f64 (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
✓	29.7b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	32.1b	(-.f64 N (log.f64 N))
✓	59.4b	(+.f64 (+.f64 (/.f64 1 N) 2) -2)
✓	29.7b	(+.f64 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) -2)
	52.1b	(.f64 (/.f64 (.f64 2 (.f64 N N)) (.f64 N (*.f64 N N))) 1/2)
	46.6b	(.f64 (/.f64 4 (.f64 N N)) (/.f64 1 (/.f64 4 N)))
	30.5b	(.f64 (/.f64 4 N) (.f64 (/.f64 1/2 N) (*.f64 N 1/2)))
	52.2b	(.f64 (/.f64 1 (.f64 N (.f64 N N))) (.f64 N N))
	46.6b	(.f64 (/.f64 1 (.f64 N N)) N)
	52.0b	(.f64 (.f64 (/.f64 1 N) (/.f64 1 (.f64 N N))) (.f64 N N))
	46.1b	(.f64 (.f64 N 4) (/.f64 (/.f64 1/4 N) N))
✓	32.9b	(neg.f64 (log.f64 N))
	61.0b	N

Compiler

Compiled 594 to 400 computations (32.7% saved)

regimes66.0ms (0.7%)

Counts

48 → 2

Calls

Call 1

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

Outputs
(-.f64 (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) -2)

Calls

2 calls:

38.0ms	N
16.0ms	(-.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 603 to 360 computations (40.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.951328893554319e-7	0.006602230852983837

Compiler

Compiled 12 to 9 computations (25% saved)

regimes63.0ms (0.7%)

Counts

46 → 2

Calls

Call 1

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

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

Calls

2 calls:

37.0ms	N
14.0ms	(-.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 567 to 330 computations (41.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.951328893554319e-7	0.006602230852983837

Compiler

Compiled 12 to 9 computations (25% saved)

regimes62.0ms (0.6%)

Counts

45 → 2

Calls

Call 1

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

36.0ms	N
15.0ms	(-.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 556 to 322 computations (42.1% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.951328893554319e-7	0.006602230852983837

Compiler

Compiled 12 to 9 computations (25% saved)

regimes46.0ms (0.5%)

Counts

44 → 2

Calls

Call 1

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

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

Calls

1 calls:

35.0ms

Results

Error	Segments	Branch
0.9b	2	`N`

Compiler

Compiled 541 to 312 computations (42.3% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	0.00168999867401855	1.850464464038279

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 148 to 113 computations (23.6% saved)

regimes40.0ms (0.4%)

Counts

39 → 2

Calls

Call 1

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

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

Calls

1 calls:

32.0ms

Results

Error	Segments	Branch
1.5b	2	`N`

Compiler

Compiled 482 to 264 computations (45.2% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	0.00168999867401855	1.850464464038279

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 100 to 73 computations (27% saved)

regimes40.0ms (0.4%)

Counts

38 → 2

Calls

Call 1

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

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

Calls

1 calls:

31.0ms

Results

Error	Segments	Branch
1.7b	2	`N`

Compiler

Compiled 478 to 263 computations (45% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	0.00168999867401855	1.850464464038279

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 92 to 73 computations (20.7% saved)

regimes25.0ms (0.3%)

Accuracy

Total -32.9b remaining (-108.2%)

Threshold costs -32.9b (-108.2%)

Counts

37 → 1

Calls

Call 1

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

Outputs
(/.f64 1 N)

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
30.4b	1	`N`

Compiler

Compiled 475 to 261 computations (45.1% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	378

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4722366482869645/9444732965739290427392) (-.f64 (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2))) (+.f64 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) -2))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4722366482869645/9444732965739290427392) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (+.f64 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) -2))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4722366482869645/9444732965739290427392) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 N (log.f64 N)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(if (<=.f64 N 1) (-.f64 N (log.f64 N)) (/.f64 1 N))
(if (<=.f64 N 2476979795053773/4503599627370496) (neg.f64 (log.f64 N)) (/.f64 1 N))
(/.f64 1 N)
N

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4722366482869645/9444732965739290427392) (-.f64 (+.f64 (*.f64 (/.f64 2 (pow.f64 N 3)) 1/6) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2))) (+.f64 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) -2))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4722366482869645/9444732965739290427392) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (+.f64 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) -2))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4722366482869645/9444732965739290427392) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 N (log.f64 N)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(if (<=.f64 N 1) (-.f64 N (log.f64 N)) (/.f64 1 N))
(if (<=.f64 N 2476979795053773/4503599627370496) (neg.f64 (log.f64 N)) (/.f64 1 N))
(/.f64 1 N)
N

Compiler

Compiled 144 to 108 computations (25% saved)

soundness109.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

906×	`rational.json-simplify-44`
822×	`rational.json-simplify-61`
816×	`rational.json-simplify-2`
804×	`rational.json-simplify-47`
748×	`rational.json-simplify-46`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	3069
1	315	3069
2	712	3069
3	2003	3069
4	4950	3069

Stop Event

1×	node limit

Compiler

Compiled 147 to 123 computations (16.3% saved)

end139.0ms (1.4%)

Compiler: Compiled 137 to 95 computations (30.7% saved)