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)

sample3.4s (37.3%)

Results

1.8s	4865×	body	256	valid
947.0ms	2121×	body	1024	valid
472.0ms	993×	body	512	valid
131.0ms	277×	body	2048	valid

Bogosity

preprocess8.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	10	21
2	12	21
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify9.0ms (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

30.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.3b	(-.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
✓	2.7b	(log.f64 (+.f64 N 1))
✓	2.7b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite88.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1540×	`rational.json-simplify-35`
1352×	`bool.json-1`
1352×	`bool.json-2`
1304×	`rational.json-1`
1304×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	94	32
2	269	32
3	544	32
4	1097	32
5	2409	32
6	5096	32

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.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 -2 (-.f64 1 (+.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2)) (-.f64 1 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 1/2) (.f64 (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 (.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 (-.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 1/2 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 2) (.f64 (log.f64 N) 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 (/.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 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)) 8) 8)))) (#(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 N) (log.f64 (+.f64 N 1))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))) (.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 (.f64 2 (neg.f64 (.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))))) (.f64 2 (neg.f64 (.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) (neg.f64 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4))) 8)))) (#(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 not (not (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (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 (.f64 (log.f64 (+.f64 N 1)) 1/2) (.f64 (log.f64 (+.f64 N 1)) 1/2))))) (#(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 (.f64 (log.f64 (+.f64 N 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (log.f64 (+.f64 N 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (+.f64 N 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (+.f64 N 1)) 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 1/4 (.f64 (log.f64 (+.f64 N 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (+.f64 N 1)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (+.f64 N 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 (.f64 (log.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 (.f64 2 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 8))) (.f64 2 (.f64 2 (.f64 (log.f64 (+.f64 N 1)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log.f64 (+.f64 N 1)) (log.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (log.f64 (+.f64 N 1)) (log.f64 (+.f64 N 1)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.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 -2 (-.f64 1 (+.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2)) (-.f64 1 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 1/2) (*.f64 (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 (*.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 (-.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 1/2 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) (*.f64 (log.f64 N) 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 (/.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 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)) 8) 8)))) (#(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 N) (log.f64 (+.f64 N 1))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))) (*.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 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))))) (*.f64 2 (neg.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) (neg.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4))) 8)))) (#(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 not (not (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (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 (*.f64 (log.f64 (+.f64 N 1)) 1/2) (*.f64 (log.f64 (+.f64 N 1)) 1/2))))) (#(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 (*.f64 (log.f64 (+.f64 N 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (log.f64 (+.f64 N 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 N 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 N 1)) 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 1/4 (*.f64 (log.f64 (+.f64 N 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 N 1)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (+.f64 N 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 (*.f64 (log.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 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 8))) (*.f64 2 (*.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log.f64 (+.f64 N 1)) (log.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (log.f64 (+.f64 N 1)) (log.f64 (+.f64 N 1)))))))

simplify273.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2486×	`rational.json-simplify-1`
1518×	`rational.json-simplify-35`
1264×	`rational.json-simplify-2`
1028×	`rational.json-simplify-42`
996×	`rational.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	171	2187
1	360	2011
2	818	2011
3	2009	2011
4	3566	2011
5	4565	2011
6	6260	2011
7	7022	2011
8	7466	2011
9	7771	2011

Stop Event

1×	node limit

Counts

85 → 119

Calls

Call 1

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

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

eval33.0ms (0.4%)

Compiler: Compiled 1816 to 1356 computations (25.3% saved)

prune22.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	112	7	119
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	112	8	120

Error

0.1b

Counts

120 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.0b	(/.f64 1 N)
▶	31.1b	(-.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 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
	30.6b	(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
✓	30.3b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
▶	32.2b	(-.f64 N (log.f64 N))
▶	30.6b	(+.f64 (/.f64 1 N) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
▶	32.9b	(neg.f64 (log.f64 N))

Compiler

Compiled 194 to 160 computations (17.5% saved)

localize2.0ms (0%)

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

localize4.0ms (0%)

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

localize5.0ms (0.1%)

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
✓	0.1b	(/.f64 1 (pow.f64 N 2))
✓	0.2b	(*.f64 1/2 (/.f64 1 (pow.f64 N 2)))

Compiler

Compiled 34 to 27 computations (20.6% saved)

series2.0ms (0%)

Counts

3 → 15

Calls

9 calls:

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

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1356×	`bool.json-1`
1356×	`bool.json-2`
1316×	`rational.json-1`
1316×	`rational.json-2`
1316×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	117	63
2	331	63
3	697	51
4	1514	51
5	4138	51

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (pow.f64 N 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (pow.f64 N 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (pow.f64 N 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (.f64 (pow.f64 N 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (neg.f64 (.f64 2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 N 2) 1/2))))) (#(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 1 (/.f64 (.f64 (pow.f64 N 2) (pow.f64 N 2)) (.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 2 (pow.f64 N 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (.f64 (pow.f64 N 2) -2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 N 2) (.f64 2 (.f64 (pow.f64 N 2) (pow.f64 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 (/.f64 1/2 (pow.f64 N 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (pow.f64 N 2)) (.f64 4 (.f64 (pow.f64 N 2) (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (pow.f64 N 2)) (.f64 2 (.f64 2 (.f64 (pow.f64 N 2) (pow.f64 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 (pow.f64 N 2) 4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 N 2) 4) (+.f64 (.f64 4 (.f64 (pow.f64 N 2) (pow.f64 N 2))) (.f64 4 (.f64 (pow.f64 N 2) (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 N 2) 4) (.f64 2 (.f64 4 (.f64 (pow.f64 N 2) (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 N 2) 4) (.f64 4 (.f64 2 (.f64 (pow.f64 N 2) (pow.f64 N 2)))))))) (#(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 (neg.f64 (.f64 2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (pow.f64 N 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (.f64 2 (.f64 (pow.f64 N 2) 8)))))) (#(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 (pow.f64 N 2) 8) (.f64 4 (.f64 4 (.f64 (pow.f64 N 2) (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (/.f64 2 (pow.f64 N 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (.f64 2 (.f64 (pow.f64 N 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (.f64 2 (neg.f64 (.f64 2 (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 16 (+.f64 (.f64 2 (.f64 (pow.f64 N 2) 8)) (.f64 2 (.f64 (pow.f64 N 2) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 16 (.f64 2 (.f64 2 (.f64 (pow.f64 N 2) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (/.f64 2 (pow.f64 N 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (+.f64 (.f64 2 (.f64 (pow.f64 N 2) -2)) (.f64 2 (.f64 (pow.f64 N 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (+.f64 (.f64 2 (neg.f64 (.f64 2 (pow.f64 N 2)))) (.f64 2 (neg.f64 (.f64 2 (pow.f64 N 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (.f64 2 (.f64 2 (.f64 (pow.f64 N 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (.f64 2 (.f64 2 (neg.f64 (.f64 2 (pow.f64 N 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 -1/2 (neg.f64 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/2 (pow.f64 N 2)) (.f64 (pow.f64 N 2) (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (/.f64 (pow.f64 N 2) (pow.f64 N 2))) (.f64 (pow.f64 N 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (.f64 1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/4 (pow.f64 N 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/2 (pow.f64 N 2)) (.f64 1/2 (pow.f64 N 2))) (.f64 2 (.f64 (pow.f64 N 2) (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 2 (/.f64 (pow.f64 N 2) (pow.f64 N 2))) 4) (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 -1/2 (pow.f64 N 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 1/2 (pow.f64 N 2)) (pow.f64 N 2)) (pow.f64 N 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 1/2 (pow.f64 N 2)) (.f64 2 (pow.f64 N 2))) (.f64 1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 1/2 (pow.f64 N 2))) (neg.f64 (.f64 (pow.f64 N 2) (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/2 (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 (/.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 1/2 (/.f64 2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 N 2) (/.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 N 2) (.f64 1/2 (/.f64 (/.f64 2 (pow.f64 N 2)) (pow.f64 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 (/.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 (/.f64 1 (pow.f64 N 2)) (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 N 2)) (/.f64 1 (.f64 2 (.f64 (pow.f64 N 2) (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 N 2)) (/.f64 1/2 (.f64 (pow.f64 N 2) (pow.f64 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 2 (/.f64 2 (pow.f64 N 2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (pow.f64 N 2)) (/.f64 (/.f64 2 (pow.f64 N 2)) (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 N 2)) (pow.f64 N 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 2 (pow.f64 N 2)) (pow.f64 N 2)) (.f64 1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (/.f64 2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 (/.f64 2 (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 (/.f64 2 (pow.f64 N 2)) (pow.f64 N 2))) (pow.f64 N 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (/.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 N 2))) (.f64 2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 2 (pow.f64 N 2)) 1/2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 2 (.f64 (pow.f64 N 2) (pow.f64 N 2)))) (.f64 2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (.f64 (pow.f64 N 2) (pow.f64 N 2))) (.f64 2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 1 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 1 (pow.f64 N 2)) (/.f64 1 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 1 (pow.f64 N 2)) (/.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 (/.f64 1 N) (+.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 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1)) -1)))) (#(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 (-.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 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 2)))) (#(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 (/.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 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4)) (.f64 2 (.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (pow.f64 N 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (pow.f64 N 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (pow.f64 N 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (*.f64 (pow.f64 N 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (neg.f64 (*.f64 2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 N 2) 1/2))))) (#(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 1 (/.f64 (*.f64 (pow.f64 N 2) (pow.f64 N 2)) (*.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 2 (pow.f64 N 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 (pow.f64 N 2) -2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 N 2) (*.f64 2 (*.f64 (pow.f64 N 2) (pow.f64 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 (/.f64 1/2 (pow.f64 N 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 N 2)) (*.f64 4 (*.f64 (pow.f64 N 2) (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 N 2)) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 N 2) (pow.f64 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 (pow.f64 N 2) 4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 N 2) 4) (+.f64 (*.f64 4 (*.f64 (pow.f64 N 2) (pow.f64 N 2))) (*.f64 4 (*.f64 (pow.f64 N 2) (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 N 2) 4) (*.f64 2 (*.f64 4 (*.f64 (pow.f64 N 2) (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 N 2) 4) (*.f64 4 (*.f64 2 (*.f64 (pow.f64 N 2) (pow.f64 N 2)))))))) (#(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 (neg.f64 (*.f64 2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (pow.f64 N 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 2 (*.f64 (pow.f64 N 2) 8)))))) (#(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 (pow.f64 N 2) 8) (*.f64 4 (*.f64 4 (*.f64 (pow.f64 N 2) (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 2 (pow.f64 N 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 2 (*.f64 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((#(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 1/2 (/.f64 2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N 2) (/.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N 2) (*.f64 1/2 (/.f64 (/.f64 2 (pow.f64 N 2)) (pow.f64 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 (/.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 (/.f64 1 (pow.f64 N 2)) (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 N 2)) (/.f64 1 (*.f64 2 (*.f64 (pow.f64 N 2) (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 N 2)) (/.f64 1/2 (*.f64 (pow.f64 N 2) (pow.f64 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 2 (/.f64 2 (pow.f64 N 2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (pow.f64 N 2)) (/.f64 (/.f64 2 (pow.f64 N 2)) (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 N 2)) (pow.f64 N 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (pow.f64 N 2)) (pow.f64 N 2)) (*.f64 1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (/.f64 2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (/.f64 2 (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 (/.f64 2 (pow.f64 N 2)) (pow.f64 N 2))) (pow.f64 N 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 N 2))) (*.f64 2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (pow.f64 N 2)) 1/2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (*.f64 (pow.f64 N 2) (pow.f64 N 2)))) (*.f64 2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (pow.f64 N 2) (pow.f64 N 2))) (*.f64 2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 1 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 1 (pow.f64 N 2)) (/.f64 1 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 1 (pow.f64 N 2)) (/.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 (/.f64 1 N) (+.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 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1)) -1)))) (#(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 (-.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 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 2)))) (#(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 (/.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 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4)) (*.f64 2 (*.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))))))

simplify105.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1324×	`rational.json-simplify-1`
1280×	`rational.json-simplify-51`
1234×	`rational.json-simplify-35`
1232×	`rational.json-simplify-2`
778×	`rational.json-simplify-46`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	203	1971
1	530	1963
2	1677	1963
3	4344	1963
4	7367	1963

Stop Event

1×	node limit

Counts

127 → 117

Calls

Call 1

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

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

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 1 (pow.f64 N 2))
	0.2b	(*.f64 1/2 (/.f64 1 (pow.f64 N 2)))
✓	0.5b	(/.f64 1 (pow.f64 N 3))
✓	13.6b	(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))

Compiler

Compiled 74 to 61 computations (17.6% saved)

series4.0ms (0%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	N	@	0	(/.f64 1 (pow.f64 N 3))
1.0ms	N	@	-inf	(/.f64 1 (pow.f64 N 3))
0.0ms	N	@	0	(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
0.0ms	N	@	-inf	(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
0.0ms	N	@	inf	(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1500×	`bool.json-1`
1500×	`bool.json-2`
1452×	`rational.json-1`
1452×	`rational.json-2`
1452×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	154	56
2	401	56
3	813	50
4	1750	50
5	4650	50

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.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 1/3 (/.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 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.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 1 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.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 1/2 (*.f64 2 (-.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 2 (*.f64 1/2 (-.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 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.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 1/3 (/.f64 1 (pow.f64 N 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (/.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 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))) 2)))) (#(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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.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 1/3 (/.f64 1 (pow.f64 N 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2))) 4)) (*.f64 2 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.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 1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.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 1/2 (pow.f64 N 2))))))))

((#(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 1/3 (*.f64 (/.f64 1 (pow.f64 N 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N 3) (/.f64 1 (*.f64 (pow.f64 N 3) (pow.f64 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 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 (/.f64 1 (pow.f64 N 3)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 N 3) 2) (/.f64 1/2 (*.f64 (pow.f64 N 3) (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 N 3) 2) (/.f64 1 (*.f64 (pow.f64 N 3) (*.f64 (pow.f64 N 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 N 3)) 1/2)))) (#(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 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 (/.f64 1 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 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 1/2 (pow.f64 N 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (pow.f64 N 3) (pow.f64 N 3))) (pow.f64 N 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (pow.f64 N 3) (pow.f64 N 3))) (*.f64 (pow.f64 N 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 N 3) 1/2) (/.f64 2 (*.f64 (pow.f64 N 3) (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 1 (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 3)))))))

simplify105.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1124×	`rational.json-simplify-19`
924×	`rational.json-simplify-59`
834×	`rational.json-simplify-53`
824×	`rational.json-simplify-41`
784×	`rational.json-simplify-39`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	1496
1	207	1488
2	482	1488
3	1334	1476
4	3510	1476
5	7537	1476

Stop Event

1×	node limit

Counts

54 → 58

Calls

Call 1

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

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

eval100.0ms (1.1%)

Compiler: Compiled 5003 to 4196 computations (16.1% saved)

prune45.0ms (0.5%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	258	3	261
Fresh	0	2	2
Picked	1	0	1
Done	1	4	5
Total	260	9	269

Error

0.1b

Counts

269 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.0b	(/.f64 1 N)
▶	31.1b	(-.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 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
▶	30.6b	(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
✓	30.3b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	32.2b	(-.f64 N (log.f64 N))
▶	30.6b	(+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2))))
▶	61.1b	(+.f64 (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1)) -1)
✓	32.9b	(neg.f64 (log.f64 N))

Compiler

Compiled 201 to 167 computations (16.9% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
✓	0.1b	(/.f64 1/2 (pow.f64 N 2))
	0.5b	(/.f64 1 (pow.f64 N 3))
✓	13.6b	(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))

Compiler

Compiled 63 to 51 computations (19% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1404×	`bool.json-1`
1404×	`bool.json-2`
1356×	`rational.json-1`
1356×	`rational.json-2`
1356×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	69
1	145	69
2	385	69
3	811	69
4	1726	69
5	4405	69

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.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 1/3 (/.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 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.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 1 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.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 1/2 (*.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (-.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 1/3 (/.f64 1 (pow.f64 N 3))) (/.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 1/3 (/.f64 1 (pow.f64 N 3)))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.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 1/3 (/.f64 1 (pow.f64 N 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (/.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 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2))) 4) 4)))) (#(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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2))) 4)) (*.f64 2 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.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 1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.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 1/2 (pow.f64 N 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (pow.f64 N 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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 (pow.f64 N 2) (/.f64 1/2 (*.f64 (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 2 (pow.f64 N 2)) (/.f64 (/.f64 1/4 (pow.f64 N 2)) (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 N 2) (*.f64 (pow.f64 N 2) (*.f64 (pow.f64 N 2) 8))))))) (#(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 (pow.f64 N 2) (*.f64 (pow.f64 N 2) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 N 2) 4) (/.f64 1/2 (*.f64 (pow.f64 N 2) (*.f64 (pow.f64 N 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 N 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 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 (/.f64 1/4 (pow.f64 N 2)) (pow.f64 N 2)) (*.f64 2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (pow.f64 N 2) (pow.f64 N 2))) (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 (pow.f64 N 2) (*.f64 (pow.f64 N 2) (*.f64 (pow.f64 N 2) 8))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (pow.f64 N 2) (*.f64 (pow.f64 N 2) 8))) (*.f64 (pow.f64 N 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (pow.f64 N 2) (*.f64 (pow.f64 N 2) 4))) (*.f64 (pow.f64 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 not (not (/.f64 1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/2 (pow.f64 N 2)))))))

((#(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 (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 (/.f64 1 (pow.f64 N 3)) 2/3) 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 (*.f64 2 (*.f64 (/.f64 1 (pow.f64 N 3)) 4/3)) (*.f64 2 (*.f64 (/.f64 1 (pow.f64 N 3)) 4/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))))))

simplify108.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1158×	`rational.json-simplify-2`
880×	`rational.json-simplify-1`
828×	`rational.json-simplify-46`
768×	`rational.json-simplify-35`
686×	`rational.json-simplify-44`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	117	2399
1	237	2291
2	552	2291
3	1522	2291
4	3759	2291
5	6435	2291

Stop Event

1×	node limit

Counts

83 → 71

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

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

localize13.0ms (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)))
	0.1b	(/.f64 1/2 (pow.f64 N 2))

Compiler

Compiled 25 to 19 computations (24% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite67.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1440×	`rational.json-simplify-35`
1260×	`bool.json-1`
1260×	`bool.json-2`
1220×	`rational.json-1`
1220×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	108	25
2	315	25
3	696	25
4	1494	25
5	3898	25

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 N) (neg.f64 (/.f64 1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 1/2 (pow.f64 N 2))) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) (*.f64 1/2 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.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 2 (*.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4))) (*.f64 2 (*.f64 2 (*.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)))) (neg.f64 (*.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))))))

simplify138.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1978×	`rational.json-simplify-35`
1336×	`rational.json-simplify-61`
1080×	`rational.json-simplify-2`
896×	`rational.json-simplify-1`
648×	`rational.json-simplify-48`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	70	1205
1	139	1081
2	298	1081
3	731	1081
4	2320	1081
5	3337	1081
6	4422	1081
7	5485	1081
8	7956	1081

Stop Event

1×	node limit

Counts

43 → 35

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1))
✓	0.0b	(+.f64 (/.f64 1/2 (pow.f64 N 2)) -1)
	0.1b	(/.f64 1/2 (pow.f64 N 2))
✓	2.6b	(+.f64 (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1)) -1)

Compiler

Compiled 48 to 39 computations (18.8% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite79.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`bool.json-1`
1628×	`bool.json-2`
1588×	`rational.json-1`
1588×	`rational.json-2`
1588×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	87
1	140	87
2	377	81
3	829	75
4	1869	75
5	4964	75

Stop Event

1×	node limit

Counts

3 → 78

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) -1) (/.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 -1 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 -1 (/.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 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 0)))) (#(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) -1) (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 N) (-.f64 -1 (/.f64 1/2 (pow.f64 N 2)))) -1)))) (#(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 2 (*.f64 1/2 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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 (*.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 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 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4)) (*.f64 2 (*.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 4))) 16)))) (#(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 not (not (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (pow.f64 N 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1) 0)))) (#(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 1/2 (+.f64 -1 (+.f64 -1 (/.f64 1 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/4 (pow.f64 N 2)) (+.f64 1 (*.f64 (pow.f64 N 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/4 (pow.f64 N 2)) (-.f64 1 (*.f64 2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 1 (*.f64 (pow.f64 N 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 1 (*.f64 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 -1 (+.f64 -1 (/.f64 1 (pow.f64 N 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 1/2 (+.f64 1 (*.f64 (pow.f64 N 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 1/2 (-.f64 1 (*.f64 2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (pow.f64 N 2) -2)) (/.f64 1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 2 (pow.f64 N 2))) (/.f64 1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (/.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)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (+.f64 -1 (/.f64 1 (pow.f64 N 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1) 4)) (*.f64 2 (*.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1) (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1) (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 N) (-.f64 1 (/.f64 1/2 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 N) -1) (-.f64 (-.f64 1 (/.f64 1/2 (pow.f64 N 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/2 (pow.f64 N 2))) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/2 (pow.f64 N 2))) (-.f64 (+.f64 (/.f64 1 N) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (-.f64 1 (/.f64 1/2 (pow.f64 N 2)))) (+.f64 1 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 1/2 (pow.f64 N 2))) (+.f64 1 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 -1 (/.f64 1 N))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 -1 (/.f64 1 N))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 -1 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 1 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 -1 (/.f64 1 N))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 -1 (/.f64 1 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 -1 (/.f64 1 N))) -2) 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 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 -1 (/.f64 1 N))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 -1 (/.f64 1 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 -1 (/.f64 1 N)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 1 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 4)) (*.f64 2 (*.f64 (+.f64 1 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 -1 (/.f64 1 N)))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 -1 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 1 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 1 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) (+.f64 1 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 1 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) (+.f64 1 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))))))))

simplify160.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1318×	`rational.json-simplify-35`
1090×	`rational.json-simplify-26`
910×	`rational.json-simplify-2`
890×	`rational.json-simplify-41`
860×	`rational.json-simplify-52`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	148	3294
1	313	3132
2	605	2988
3	1503	2988
4	3554	2988
5	5030	2952
6	6168	2952
7	7599	2952

Stop Event

1×	node limit

Counts

114 → 107

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

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

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 1 (pow.f64 N 2))
	0.2b	(*.f64 1/2 (/.f64 1 (pow.f64 N 2)))
	0.5b	(/.f64 1 (pow.f64 N 3))
✓	13.6b	(-.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)

series0.0ms (0%)

Counts

1 → 8

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(-.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

-inf

(-.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

inf

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

rewrite80.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1870×	`bool.json-1`
1870×	`bool.json-2`
1822×	`rational.json-1`
1406×	`bool.json-3`
766×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	55
1	177	55
2	472	55
3	1002	49
4	2290	49
5	5994	49

Stop Event

1×	node limit

Counts

1 → 29

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))))

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 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 1/3 (/.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 1/2 (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 -1 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (/.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 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.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 1/2 (*.f64 2 (+.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 2 (*.f64 1/2 (+.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 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.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 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.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 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.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 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 4)) (*.f64 2 (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.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 and (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.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)))))))))

simplify136.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1748×	`rational.json-simplify-35`
1092×	`rational.json-simplify-1`
1032×	`rational.json-simplify-2`
728×	`rational.json-simplify-51`
564×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	1663
1	142	1663
2	289	1663
3	717	1663
4	2130	1663
5	3482	1663
6	4641	1663
7	5556	1663
8	7475	1663

Stop Event

1×	node limit

Counts

37 → 37

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

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

localize42.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 1 (pow.f64 N 2))
	0.2b	(*.f64 1/2 (/.f64 1 (pow.f64 N 2)))
	0.5b	(/.f64 1 (pow.f64 N 3))
✓	22.3b	(-.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)))))

Compiler

Compiled 110 to 91 computations (17.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(-.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)))))

0.0ms

inf

(-.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)))))

0.0ms

-inf

(-.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)))))

rewrite102.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1026×	`bool.json-1`
1026×	`bool.json-2`
990×	`rational.json-1`
990×	`rational.json-2`
990×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	79
1	235	79
2	596	79
3	1247	73
4	2919	73
5	7387	73

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(-.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)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (neg.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4)))))) 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 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 N) (+.f64 (/.f64 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N 2)) (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4)))))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4))))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4)))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4))))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4)))))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 4 (+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4)))))))) (*.f64 2 (*.f64 4 (+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4))))))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4)))))) (+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4)))))) (+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/2 (/.f64 1/2 (pow.f64 N 4)))))))))))

simplify152.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1334×	`rational.json-simplify-35`
1076×	`rational.json-simplify-1`
1060×	`rational.json-simplify-38`
964×	`rational.json-simplify-2`
768×	`rational.json-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	2614
1	163	2614
2	308	2614
3	650	2614
4	1642	2614
5	2939	2614
6	3769	2614
7	4134	2614
8	4699	2614
9	5940	2614

Stop Event

1×	node limit

Counts

40 → 40

Calls

Call 1

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

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

eval264.0ms (2.9%)

Compiler: Compiled 13216 to 11199 computations (15.3% saved)

prune1.6s (17.9%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	598	3	601
Fresh	0	0	0
Picked	1	0	1
Done	1	7	8
Total	600	10	610

Error

0.1b

Counts

610 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.0b	(/.f64 1 N)
✓	31.1b	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
▶	30.6b	(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (/.f64 1/2 (pow.f64 N 2)))
▶	30.9b	(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
✓	30.3b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	32.2b	(-.f64 N (log.f64 N))
✓	30.6b	(+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2))))
✓	61.1b	(+.f64 (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1)) -1)
▶	59.8b	(+.f64 (-.f64 (/.f64 1 N) -1) -1)
✓	32.9b	(neg.f64 (log.f64 N))

Compiler

Compiled 115 to 94 computations (18.3% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.6b	(+.f64 (-.f64 (/.f64 1 N) -1) -1)

Compiler

Compiled 19 to 15 computations (21.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite82.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1018×	`bool.json-1`
1018×	`bool.json-2`
996×	`rational.json-simplify-35`
980×	`rational.json-1`
980×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	92	7
2	280	7
3	587	7
4	1272	7
5	3246	7

Stop Event

1×	node limit

Counts

1 → 89

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 N) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 N) -1) -1)))) (#(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 1/4 (/.f64 4 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 N) 2)))) (#(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 1/4 N) 4)))) (#(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 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 (/.f64 (neg.f64 (*.f64 N N)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 N (+.f64 N N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 N N) (*.f64 N (+.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 (-.f64 0 (*.f64 (neg.f64 N) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (-.f64 0 (neg.f64 (*.f64 N 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 (neg.f64 N) 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (neg.f64 (*.f64 N 4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 N 4) (*.f64 N (*.f64 N 4)))))) (#(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 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 (/.f64 (neg.f64 (*.f64 N 8)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 N -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) (-.f64 0 (*.f64 N (+.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 N) 4)))) (#(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 N (+.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 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 N (+.f64 N N))) (*.f64 4 (*.f64 N (+.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (*.f64 (neg.f64 N) 4))))) (#(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 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 1/2 N) 1/2)))) (#(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 32 (*.f64 2 (*.f64 2 (*.f64 N 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8 (*.f64 2 (*.f64 (neg.f64 N) 4)))))) (#(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 -1/2 (-.f64 0 (*.f64 N 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/4 N) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 8 N) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 N) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 8 N) (/.f64 8 N)) 16)))) (#(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 1/4 N) (/.f64 1/4 N)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -16 (+.f64 (*.f64 2 (*.f64 (neg.f64 N) 4)) (*.f64 2 (*.f64 (neg.f64 N) 4))))))) (#(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 (+.f64 (neg.f64 (*.f64 N 8)) (neg.f64 (*.f64 N 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -16 (-.f64 0 (*.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 (+.f64 (/.f64 -1 N) (/.f64 -1 N)) -2)))) (#(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 1 (*.f64 N 8)) 1/8)))) (#(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 N (fabs.f64 N)) (fabs.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 N (fabs.f64 (+.f64 N N))) (*.f64 1/2 (fabs.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 N) -2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 N))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 1 N) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 1 N) (/.f64 1 N))))))

simplify99.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1744×	`rational.json-simplify-35`
1244×	`rational.json-simplify-38`
976×	`rational.json-simplify-43`
826×	`rational.json-simplify-40`
558×	`rational.json-simplify-39`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	779
1	566	779
2	2078	779
3	5169	779

Stop Event

1×	node limit

Counts

101 → 89

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

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
	0.1b	(/.f64 1/2 (pow.f64 N 2))
	0.5b	(/.f64 1 (pow.f64 N 3))
✓	22.3b	(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (.f64 1/4 (/.f64 1 (pow.f64 N 4)))))

Compiler

Compiled 99 to 81 computations (18.2% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite96.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1002×	`bool.json-1`
1002×	`bool.json-2`
966×	`rational.json-1`
966×	`rational.json-2`
966×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	73
1	226	73
2	580	73
3	1245	73
4	2898	73
5	7155	73

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (neg.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))) (*.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 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 4 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))))) (*.f64 2 (*.f64 4 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))))))))

simplify185.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1222×	`rational.json-simplify-35`
1080×	`rational.json-simplify-1`
966×	`rational.json-simplify-2`
786×	`rational.json-simplify-42`
662×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	2614
1	159	2614
2	303	2614
3	644	2614
4	1651	2614
5	2954	2614
6	3794	2614
7	4149	2614
8	4657	2614
9	5619	2614
10	7677	2614

Stop Event

1×	node limit

Counts

40 → 42

Calls

Call 1

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

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

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
	0.1b	(/.f64 1/2 (pow.f64 N 2))
	0.5b	(/.f64 1 (pow.f64 N 3))
✓	13.6b	(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (/.f64 1/2 (pow.f64 N 2)))

Compiler

Compiled 61 to 49 computations (19.7% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite112.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1776×	`bool.json-1`
1776×	`bool.json-2`
1728×	`rational.json-1`
1318×	`bool.json-3`
742×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	49
1	168	49
2	456	49
3	1001	49
4	2269	49
5	5766	49

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

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 -1 (-.f64 1 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 1/2 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.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 1/2 (*.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))) -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)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))) -2) 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)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.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)) (*.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)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.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 and (+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.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)))))))))

simplify127.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1788×	`rational.json-simplify-35`
1150×	`rational.json-simplify-2`
954×	`rational.json-simplify-51`
788×	`rational.json-simplify-1`
740×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	1883
1	143	1883
2	268	1883
3	608	1883
4	1799	1883
5	3029	1883
6	3712	1883
7	4559	1883
8	6584	1883

Stop Event

1×	node limit

Counts

41 → 37

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

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

eval167.0ms (1.8%)

Compiler: Compiled 5929 to 4894 computations (17.5% saved)

prune100.0ms (1.1%)

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	291	9	300
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	291	19	310

Error

0.0b

Counts

310 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	47.6b	(/.f64 (/.f64 2 (*.f64 N N)) (/.f64 2 N))
	47.4b	(/.f64 (+.f64 N N) (*.f64 N (+.f64 N N)))
	55.8b	(/.f64 (.f64 N N) (/.f64 (.f64 (.f64 N N) (.f64 N N)) N))
	47.4b	(/.f64 (.f64 N 4) (.f64 N (*.f64 N 4)))
	47.4b	(/.f64 (.f64 N 1/2) (/.f64 (.f64 N N) 2))
	47.4b	(/.f64 (.f64 N 1/2) (.f64 N (*.f64 N 1/2)))
	47.4b	(/.f64 N (*.f64 N N))
	47.4b	(/.f64 2 (/.f64 (*.f64 N (+.f64 N N)) N))
✓	30.0b	(/.f64 1 N)
✓	31.1b	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓	30.6b	(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (/.f64 1/2 (pow.f64 N 2)))
✓	30.9b	(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
✓	30.3b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	32.2b	(-.f64 N (log.f64 N))
✓	30.6b	(+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2))))
✓	61.1b	(+.f64 (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1)) -1)
✓	59.8b	(+.f64 (-.f64 (/.f64 1 N) -1) -1)
	47.5b	(.f64 (/.f64 1 (.f64 N N)) N)
✓	32.9b	(neg.f64 (log.f64 N))

Compiler

Compiled 203 to 145 computations (28.6% saved)

regimes37.0ms (0.4%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	N
8.0ms	(-.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 271 to 190 computations (29.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0010996200268449385	0.9148616985758213

Compiler

Compiled 12 to 9 computations (25% saved)

regimes34.0ms (0.4%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	N
10.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

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

Compiler

Compiled 219 to 146 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.787646586492997e-5	0.0010996200268449385

Compiler

Compiled 12 to 9 computations (25% saved)

regimes27.0ms (0.3%)

Counts

17 → 2

Calls

Call 1

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

16.0ms	N
8.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

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

Compiler

Compiled 147 to 86 computations (41.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1198872993389841e-6	1.787646586492997e-5

Compiler

Compiled 12 to 9 computations (25% saved)

regimes20.0ms (0.2%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
0.7b	2	`N`

Compiler

Compiled 132 to 76 computations (42.4% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	0.6682571328058488	908.9051366384717

Results

15.0ms

128×

body

256

valid

Compiler

Compiled 148 to 113 computations (23.6% saved)

regimes16.0ms (0.2%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
1.1b	2	`N`

Compiler

Compiled 99 to 49 computations (50.5% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	0.6682571328058488	908.9051366384717

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 100 to 73 computations (27% saved)

regimes16.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
1.3b	2	`N`

Compiler

Compiled 95 to 48 computations (49.5% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	0.00433949013435067	0.6682571328058488

Results

14.0ms

112×

body

256

valid

Compiler

Compiled 82 to 65 computations (20.7% saved)

regimes10.0ms (0.1%)

Accuracy

Total -32.1b remaining (-106.7%)

Threshold costs -32.1b (-106.7%)

Counts

11 → 1

Calls

Call 1

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

Outputs
(/.f64 1 N)

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
30.0b	1	`N`

Compiler

Compiled 92 to 46 computations (50% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	401

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1152921504606847/576460752303423488) (-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (.f64 1/4 (/.f64 1 (pow.f64 N 4))))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/295147905179352825856) (+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4722366482869645/2361183241434822606848) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 N (log.f64 N)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(if (<=.f64 N 1) (-.f64 N (log.f64 N)) (/.f64 1 N))
(if (<=.f64 N 2476979795053773/4503599627370496) (neg.f64 (log.f64 N)) (/.f64 1 N))
(/.f64 1 N)

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1152921504606847/576460752303423488) (-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (.f64 1/4 (/.f64 1 (pow.f64 N 4))))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/295147905179352825856) (+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4722366482869645/2361183241434822606848) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 N (log.f64 N)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(if (<=.f64 N 1) (-.f64 N (log.f64 N)) (/.f64 1 N))
(if (<=.f64 N 2476979795053773/4503599627370496) (neg.f64 (log.f64 N)) (/.f64 1 N))
(/.f64 1 N)

Compiler

Compiled 150 to 113 computations (24.7% saved)

soundness216.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2486×	`rational.json-simplify-1`
1518×	`rational.json-simplify-35`
1264×	`rational.json-simplify-2`
1028×	`rational.json-simplify-42`
996×	`rational.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	171	2187
1	360	2011
2	818	2011
3	2009	2011
4	3566	2011
5	4565	2011
6	6260	2011
7	7022	2011
8	7466	2011
9	7771	2011

Stop Event

1×	node limit

Compiler

Compiled 55 to 47 computations (14.5% saved)

end121.0ms (1.3%)

Compiler: Compiled 144 to 101 computations (29.9% saved)

Details

analyze3.0ms (0%)

sample3.4s (37.3%)

preprocess8.0ms (0.1%)

simplify9.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.1%)

series2.0ms (0%)

rewrite88.0ms (1%)

simplify273.0ms (3%)

eval33.0ms (0.4%)

prune22.0ms (0.2%)

localize2.0ms (0%)

localize4.0ms (0%)

localize5.0ms (0.1%)

localize14.0ms (0.2%)

series2.0ms (0%)

rewrite73.0ms (0.8%)

simplify105.0ms (1.2%)

localize29.0ms (0.3%)

series4.0ms (0%)

rewrite73.0ms (0.8%)

simplify105.0ms (1.2%)

eval100.0ms (1.1%)

prune45.0ms (0.5%)

localize26.0ms (0.3%)

series1.0ms (0%)

rewrite76.0ms (0.8%)

simplify108.0ms (1.2%)

localize13.0ms (0.1%)

series0.0ms (0%)

rewrite67.0ms (0.7%)

simplify138.0ms (1.5%)

localize19.0ms (0.2%)

series1.0ms (0%)

rewrite79.0ms (0.9%)

simplify160.0ms (1.8%)

localize28.0ms (0.3%)

series0.0ms (0%)

rewrite80.0ms (0.9%)

simplify136.0ms (1.5%)

localize42.0ms (0.5%)

series1.0ms (0%)

rewrite102.0ms (1.1%)

simplify152.0ms (1.7%)

eval264.0ms (2.9%)

prune1.6s (17.9%)

localize7.0ms (0.1%)

series0.0ms (0%)

rewrite82.0ms (0.9%)

simplify99.0ms (1.1%)

localize39.0ms (0.4%)

series0.0ms (0%)

rewrite96.0ms (1.1%)

simplify185.0ms (2%)

localize24.0ms (0.3%)

series0.0ms (0%)

rewrite112.0ms (1.2%)

simplify127.0ms (1.4%)

eval167.0ms (1.8%)

prune100.0ms (1.1%)

regimes37.0ms (0.4%)

bsearch0.0ms (0%)

regimes34.0ms (0.4%)

bsearch0.0ms (0%)

regimes27.0ms (0.3%)

bsearch0.0ms (0%)

regimes20.0ms (0.2%)

bsearch17.0ms (0.2%)

regimes16.0ms (0.2%)

bsearch15.0ms (0.2%)

regimes16.0ms (0.2%)

bsearch15.0ms (0.2%)

regimes10.0ms (0.1%)

simplify6.0ms (0.1%)

soundness216.0ms (2.4%)

end121.0ms (1.3%)

Profiling