Details

analyze4.0ms (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)

sample3.5s (29.2%)

Results

1.5s	2025×	body	1024	valid
1.4s	4925×	body	256	valid
291.0ms	1013×	body	512	valid
283.0ms	293×	body	2048	valid

Bogosity

preprocess16.0ms (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)

simplify49.0ms (0.4%)

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

32.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.2b	(-.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
✓	2.6b	(log.f64 (+.f64 N 1))
✓	3.3b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite242.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1680×	`rational.json-1`
1680×	`rational.json-2`
1680×	`rational.json-3`
1678×	`rational.json-5`
1676×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	74	32
2	234	32
3	866	32
4	3298	32

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

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

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

Outputs

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

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

simplify147.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1280×	`rational.json-simplify-111`
1084×	`rational.json-simplify-49`
820×	`rational.json-simplify-54`
814×	`rational.json-simplify-2`
756×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	1745
1	193	1569
2	515	1493
3	1618	1493
4	4867	1493

Stop Event

1×	node limit

Counts

57 → 90

Calls

Call 1

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

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

eval33.0ms (0.3%)

Compiler: Compiled 1572 to 1127 computations (28.3% saved)

prune19.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	84	6	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	7	91

Error

0.0b

Counts

91 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.0b	(/.f64 1 N)
▶	29.0b	(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
▶	28.6b	(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
	35.1b	(-.f64 (+.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))) (log.f64 N))
✓	32.2b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
▶	34.1b	(-.f64 N (log.f64 N))
▶	35.0b	(neg.f64 (log.f64 N))

Compiler

Compiled 144 to 114 computations (20.8% saved)

localize3.0ms (0%)

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

localize5.0ms (0%)

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 8 to 3 computations (62.5% saved)

series9.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	N	@	0	(-.f64 N (log.f64 N))
3.0ms	N	@	-inf	(-.f64 N (log.f64 N))
1.0ms	N	@	inf	(-.f64 N (log.f64 N))

rewrite145.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1262×	`rational.json-1`
1262×	`rational.json-5`
1262×	`rational.json-2`
1262×	`rational.json-3`
1260×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	50	11
2	180	11
3	656	11
4	2475	11

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

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

Outputs

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

simplify276.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1458×	`rational.json-simplify-49`
1256×	`rational.json-simplify-2`
1106×	`rational.json-simplify-50`
982×	`rational.json-simplify-43`
878×	`rational.json-simplify-58`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	59	485
1	100	465
2	294	465
3	1647	465
4	5513	459
5	7925	459

Stop Event

1×	node limit

Counts

35 → 33

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 1/2 (/.f64 1 (pow.f64 N 2)))
✓	0.0b	(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
✓	0.6b	(/.f64 1 (pow.f64 N 2))

Compiler

Compiled 34 to 27 computations (20.6% saved)

series2.0ms (0%)

Counts

3 → 15

Calls

9 calls:

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

rewrite157.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1760×	`rational.json-5`
1758×	`exponential.json-3`
1758×	`rational.json-1`
1758×	`rational.json-2`
1758×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	89	63
2	259	63
3	917	63
4	3453	63

Stop Event

1×	node limit

Counts

3 → 43

Calls

Call 1

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

Outputs

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

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

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

simplify241.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1532×	`rational.json-simplify-47`
928×	`rational.json-simplify-111`
858×	`exponential.json-simplify-26`
804×	`rational.json-simplify-2`
746×	`rational.json-simplify-54`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	83	1336
1	137	1132
2	409	1132
3	1389	1132
4	4493	1132
5	7776	1132

Stop Event

1×	node limit

Counts

58 → 51

Calls

Call 1

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

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

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
✓	0.2b	(/.f64 1 (pow.f64 N 3))
	0.6b	(/.f64 1 (pow.f64 N 2))
✓	12.0b	(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))

Compiler

Compiled 70 to 57 computations (18.6% saved)

series2.0ms (0%)

Counts

3 → 20

Calls

9 calls:

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

rewrite128.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`rational.json-simplify-54`
844×	`rational.json-simplify-49`
828×	`rational.json-simplify-47`
624×	`rational.json-simplify-50`
610×	`rational.json-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	87
1	137	87
2	382	87
3	1364	87
4	5281	87

Stop Event

1×	node limit

Counts

3 → 55

Calls

Call 1

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

Outputs

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

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

simplify180.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1050×	`rational.json-simplify-1`
1014×	`rational.json-simplify-49`
1002×	`rational.json-simplify-54`
964×	`rational.json-simplify-2`
612×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	2241
1	247	2241
2	676	2241
3	2312	2241
4	6300	2241

Stop Event

1×	node limit

Counts

75 → 66

Calls

Call 1

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

eval216.0ms (1.8%)

Compiler: Compiled 4589 to 3662 computations (20.2% saved)

prune190.0ms (1.6%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	169	3	172
Fresh	0	1	1
Picked	0	1	1
Done	1	4	5
Total	170	9	179

Error

0.0b

Counts

179 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.0b	(/.f64 1 N)
▶	29.0b	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓	28.6b	(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
▶	35.1b	(-.f64 (+.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))) (log.f64 N))
✓	32.2b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	34.1b	(-.f64 N (log.f64 N))
▶	60.9b	(+.f64 1 (-.f64 (/.f64 1 N) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) -1)))
✓	35.0b	(neg.f64 (log.f64 N))
	61.1b	N

Compiler

Compiled 92 to 73 computations (20.7% saved)

localize48.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 1/2 (/.f64 1 (pow.f64 N 2)))
✓	0.0b	(-.f64 (/.f64 1 N) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) -1))
	0.6b	(/.f64 1 (pow.f64 N 2))
✓	3.3b	(+.f64 1 (-.f64 (/.f64 1 N) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) -1)))

Compiler

Compiled 61 to 51 computations (16.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite167.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1138×	`rational.json-simplify-2`
650×	`rational.json-simplify-49`
620×	`rational.json-simplify-47`
592×	`rational.json-simplify-54`
588×	`rational.json-simplify-58`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	80
1	117	74
2	349	68
3	1261	68
4	4627	68

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

Outputs

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

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

simplify382.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

754×	`rational.json-simplify-58`
738×	`rational.json-simplify-111`
716×	`rational.json-simplify-49`
676×	`rational.json-simplify-54`
668×	`exponential.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	2740
1	251	2740
2	569	2740
3	1726	2740
4	4400	2740
5	6941	2740

Stop Event

1×	node limit

Counts

88 → 70

Calls

Call 1

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

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

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -1/2 (pow.f64 N 2))
✓	0.1b	(*.f64 1/3 (pow.f64 N 3))
✓	14.6b	(+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3)))
✓	22.8b	(+.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)))

Compiler

Compiled 93 to 71 computations (23.7% saved)

series2.0ms (0%)

Counts

4 → 18

Calls

12 calls:

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

rewrite171.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`rational.json-simplify-47`
902×	`rational.json-simplify-1`
722×	`rational.json-simplify-49`
690×	`rational.json-5`
688×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	112
1	148	112
2	419	112
3	1526	112
4	6121	112

Stop Event

1×	node limit

Counts

4 → 82

Calls

Call 1

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

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

simplify258.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1312×	`rational.json-simplify-50`
1266×	`rational.json-simplify-1`
1106×	`rational.json-simplify-54`
882×	`rational.json-simplify-43`
706×	`rational.json-simplify-64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	186	3838
1	489	3832
2	1417	3832
3	4607	3832

Stop Event

1×	node limit

Counts

100 → 104

Calls

Call 1

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

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

localize18.0ms (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)))
✓	0.6b	(/.f64 1/2 (pow.f64 N 2))

Compiler

Compiled 25 to 19 computations (24% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite103.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1542×	`rational.json-5`
1540×	`exponential.json-3`
1540×	`rational.json-1`
1540×	`rational.json-2`
1540×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	80	38
2	228	38
3	786	38
4	3001	38

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

Outputs

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

simplify340.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1644×	`rational.json-simplify-47`
1142×	`rational.json-simplify-2`
1042×	`rational.json-simplify-1`
868×	`rational.json-simplify-54`
790×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	84	1378
1	161	1102
2	347	1102
3	1601	1102
4	6713	1102

Stop Event

1×	node limit

Counts

52 → 46

Calls

Call 1

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

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

eval612.0ms (5.1%)

Compiler: Compiled 6890 to 5576 computations (19.1% saved)

prune112.0ms (0.9%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	246	4	250
Fresh	0	1	1
Picked	0	1	1
Done	1	6	7
Total	247	12	259

Error

0.0b

Counts

259 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.0b	(/.f64 1 N)
✓	29.0b	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
▶	61.0b	(-.f64 (-.f64 (/.f64 1 N) (+.f64 2 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) -2)
▶	61.0b	(-.f64 (-.f64 (-.f64 (+.f64 1 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) -1) 2)
✓	28.6b	(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
✓	35.1b	(-.f64 (+.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))) (log.f64 N))
✓	32.2b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	34.1b	(-.f64 N (log.f64 N))
▶	60.9b	(+.f64 (-.f64 (/.f64 1 N) (-.f64 (/.f64 1/2 (pow.f64 N 2)) -1)) 1)
▶	59.6b	(+.f64 1 (-.f64 (/.f64 1 N) 1))
✓	35.0b	(neg.f64 (log.f64 N))
	61.1b	N

Compiler

Compiled 132 to 108 computations (18.2% saved)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 N) 1)
✓	3.3b	(+.f64 1 (-.f64 (/.f64 1 N) 1))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series1.0ms (0%)

Counts

2 → 15

Calls

6 calls:

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

rewrite160.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1194×	`rational.json-5`
1192×	`exponential.json-3`
1192×	`rational.json-1`
1192×	`rational.json-2`
1192×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	62	20
2	200	20
3	664	20
4	2468	20

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify276.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1618×	`rational.json-simplify-49`
1182×	`rational.json-simplify-54`
1106×	`rational.json-simplify-2`
1012×	`rational.json-simplify-50`
598×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	609
1	194	609
2	860	609
3	2859	609
4	7766	609

Stop Event

1×	node limit

Counts

69 → 55

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

localize38.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 N) (-.f64 (/.f64 1/2 (pow.f64 N 2)) -1))
	0.6b	(/.f64 1/2 (pow.f64 N 2))
✓	3.3b	(+.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

2 → 24

Calls

6 calls:

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

rewrite191.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2042×	`rational.json-5`
2040×	`rational.json-1`
2040×	`rational.json-2`
2040×	`rational.json-4`
2040×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	107	68
2	308	56
3	1089	56
4	4076	56

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

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

simplify457.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1406×	`rational.json-simplify-111`
1196×	`rational.json-simplify-49`
834×	`rational.json-simplify-2`
786×	`rational.json-simplify-54`
720×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	93	1941
1	187	1833
2	536	1833
3	1876	1833
4	5691	1833

Stop Event

1×	node limit

Counts

69 → 55

Calls

Call 1

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

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

localize56.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 1/2 (/.f64 1 (pow.f64 N 2)))
✓	0.0b	(-.f64 (-.f64 (+.f64 1 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) -1)
	0.6b	(/.f64 1 (pow.f64 N 2))
✓	3.1b	(-.f64 (-.f64 (-.f64 (+.f64 1 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) -1) 2)

Compiler

Compiled 74 to 62 computations (16.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite223.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`rational.json-simplify-47`
760×	`rational.json-simplify-49`
730×	`rational.json-simplify-1`
684×	`rational.json-5`
682×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	86
1	131	80
2	423	68
3	1598	68
4	5874	68

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

simplify378.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1270×	`rational.json-simplify-2`
1134×	`rational.json-simplify-49`
898×	`rational.json-simplify-54`
842×	`rational.json-simplify-43`
768×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	2343
1	193	2343
2	467	2343
3	1979	2343
4	5946	2343

Stop Event

1×	node limit

Counts

75 → 58

Calls

Call 1

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

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

localize51.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 1/2 (/.f64 1 (pow.f64 N 2)))
✓	0.0b	(-.f64 (/.f64 1 N) (+.f64 2 (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
	0.6b	(/.f64 1 (pow.f64 N 2))
✓	3.1b	(-.f64 (-.f64 (/.f64 1 N) (+.f64 2 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) -2)

Compiler

Compiled 61 to 51 computations (16.4% saved)

series1.0ms (0%)

Counts

2 → 18

Calls

6 calls:

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

rewrite159.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`rational.json-simplify-49`
698×	`rational.json-simplify-54`
686×	`rational.json-simplify-47`
600×	`rational.json-simplify-58`
566×	`rational.json-5`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	80
1	119	80
2	369	68
3	1339	68
4	4782	68

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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simplify389.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1398×	`rational.json-simplify-54`
1290×	`rational.json-simplify-43`
1046×	`rational.json-simplify-58`
748×	`exponential.json-simplify-26`
726×	`rational.json-simplify-42`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	110	2345
1	219	2183
2	529	2183
3	2481	2183
4	5542	2183

Stop Event

1×	node limit

Counts

71 → 63

Calls

Call 1

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

eval592.0ms (4.9%)

Compiler: Compiled 7791 to 6652 computations (14.6% saved)

prune156.0ms (1.3%)

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	300	9	309
Fresh	0	1	1
Picked	1	0	1
Done	2	8	10
Total	303	18	321

Error

0.0b

Counts

321 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.0b	(/.f64 1 N)
✓	29.0b	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
	61.0b	(-.f64 (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) -1)) 1)
	59.6b	(-.f64 (-.f64 (/.f64 1 N) -3) 3)
	61.0b	(-.f64 (-.f64 (-.f64 (+.f64 1 (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2))) -1) 2)
	59.6b	(-.f64 (-.f64 1 (-.f64 -1 (/.f64 1 N))) 2)
✓	28.6b	(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
✓	35.1b	(-.f64 (+.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))) (log.f64 N))
✓	32.2b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	34.1b	(-.f64 N (log.f64 N))
✓	60.9b	(+.f64 (-.f64 (/.f64 1 N) (-.f64 (/.f64 1/2 (pow.f64 N 2)) -1)) 1)
	60.5b	(+.f64 1 (.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 1 N) -1)) (.f64 (+.f64 (/.f64 1 N) -1) (+.f64 (/.f64 1 N) -1))) (.f64 (-.f64 1 (/.f64 1 N)) (.f64 (-.f64 1 (/.f64 1 N)) (*.f64 (+.f64 (/.f64 1 N) -1) (+.f64 (/.f64 1 N) -1))))))
	60.2b	(+.f64 1 (.f64 (/.f64 1 (+.f64 (/.f64 1 N) -1)) (.f64 (+.f64 (/.f64 1 N) -1) (+.f64 (/.f64 1 N) -1))))
	53.9b	(.f64 (/.f64 (/.f64 1 (/.f64 1 N)) (.f64 (/.f64 1 N) (/.f64 1 N))) (.f64 (.f64 (/.f64 1 N) (/.f64 1 N)) (*.f64 (/.f64 1 N) (/.f64 1 N))))
	44.8b	(.f64 (/.f64 1 (/.f64 1 N)) (.f64 (/.f64 1 N) (/.f64 1 N)))
	59.5b	(.f64 (.f64 (.f64 (.f64 (/.f64 1 N) (/.f64 1 N)) (.f64 (/.f64 1 N) (/.f64 1 N))) (.f64 (.f64 (/.f64 1 N) (/.f64 1 N)) (.f64 (/.f64 1 N) (/.f64 1 N)))) (/.f64 (/.f64 (/.f64 1 (/.f64 1 N)) (.f64 (/.f64 1 N) (/.f64 1 N))) (.f64 (.f64 (/.f64 1 N) (/.f64 1 N)) (.f64 (/.f64 1 N) (/.f64 1 N)))))
✓	35.0b	(neg.f64 (log.f64 N))
	61.1b	N

Compiler

Compiled 312 to 252 computations (19.2% saved)

regimes168.0ms (1.4%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

2 calls:

106.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
46.0ms	N

Results

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

Compiler

Compiled 370 to 295 computations (20.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.334224274453845e-8	0.19542460414640273

Compiler

Compiled 12 to 9 computations (25% saved)

regimes261.0ms (2.2%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

2 calls:

204.0ms	N
23.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

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

Compiler

Compiled 329 to 263 computations (20.1% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.334224274453845e-8	0.19542460414640273

Compiler

Compiled 12 to 9 computations (25% saved)

regimes57.0ms (0.5%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

1 calls:

43.0ms

Results

Error	Segments	Branch
0.6b	2	`N`

Compiler

Compiled 314 to 253 computations (19.4% saved)

bsearch30.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
30.0ms	0.0007108001869681506	2.397167733842667

Results

26.0ms

128×

body

256

valid

Compiler

Compiled 148 to 113 computations (23.6% saved)

regimes41.0ms (0.3%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

28.0ms

Results

Error	Segments	Branch
1.0b	2	`N`

Compiler

Compiled 206 to 161 computations (21.8% saved)

bsearch29.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
29.0ms	0.0007108001869681506	2.397167733842667

Results

26.0ms

128×

body

256

valid

Compiler

Compiled 100 to 73 computations (27% saved)

regimes38.0ms (0.3%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

29.0ms

Results

Error	Segments	Branch
1.3b	2	`N`

Compiler

Compiled 202 to 160 computations (20.8% saved)

bsearch30.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
30.0ms	0.0007108001869681506	2.397167733842667

Results

25.0ms

128×

body

256

valid

Compiler

Compiled 92 to 73 computations (20.7% saved)

regimes21.0ms (0.2%)

Accuracy

Total -35.3b remaining (-126.2%)

Threshold costs -35.3b (-126.2%)

Counts

10 → 1

Calls

Call 1

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

Outputs
(/.f64 1 N)

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
28.0b	1	`N`

Compiler

Compiled 199 to 158 computations (20.6% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	285

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/18889465931478580854784) (-.f64 (+.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)) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/18889465931478580854784) (-.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 607985949695017/1125899906842624) (neg.f64 (log.f64 N)) (/.f64 1 N))
(/.f64 1 N)
N

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/18889465931478580854784) (-.f64 (+.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)) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/18889465931478580854784) (-.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 607985949695017/1125899906842624) (neg.f64 (log.f64 N)) (/.f64 1 N))
(/.f64 1 N)
N

Compiler

Compiled 111 to 82 computations (26.1% saved)

soundness0.0ms (0%)

end351.0ms (2.9%)

Compiler: Compiled 105 to 71 computations (32.4% saved)

Details

analyze4.0ms (0%)

sample3.5s (29.2%)

preprocess16.0ms (0.1%)

simplify49.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.1%)

series2.0ms (0%)

rewrite242.0ms (2%)

simplify147.0ms (1.2%)

eval33.0ms (0.3%)

prune19.0ms (0.2%)

localize3.0ms (0%)

localize5.0ms (0%)

localize5.0ms (0%)

series9.0ms (0.1%)

rewrite145.0ms (1.2%)

simplify276.0ms (2.3%)

localize15.0ms (0.1%)

series2.0ms (0%)

rewrite157.0ms (1.3%)

simplify241.0ms (2%)

localize31.0ms (0.3%)

series2.0ms (0%)

rewrite128.0ms (1.1%)

simplify180.0ms (1.5%)

eval216.0ms (1.8%)

prune190.0ms (1.6%)

localize48.0ms (0.4%)

series1.0ms (0%)

rewrite167.0ms (1.4%)

simplify382.0ms (3.2%)

localize41.0ms (0.3%)

series2.0ms (0%)

rewrite171.0ms (1.4%)

simplify258.0ms (2.1%)

localize18.0ms (0.1%)

series1.0ms (0%)

rewrite103.0ms (0.9%)

simplify340.0ms (2.8%)

eval612.0ms (5.1%)

prune112.0ms (0.9%)

localize17.0ms (0.1%)

series1.0ms (0%)

rewrite160.0ms (1.3%)

simplify276.0ms (2.3%)

localize38.0ms (0.3%)

series1.0ms (0%)

rewrite191.0ms (1.6%)

simplify457.0ms (3.8%)

localize56.0ms (0.5%)

series1.0ms (0%)

rewrite223.0ms (1.8%)

simplify378.0ms (3.1%)

localize51.0ms (0.4%)

series1.0ms (0%)

rewrite159.0ms (1.3%)

simplify389.0ms (3.2%)

eval592.0ms (4.9%)

prune156.0ms (1.3%)

regimes168.0ms (1.4%)

bsearch1.0ms (0%)

regimes261.0ms (2.2%)

bsearch1.0ms (0%)

regimes57.0ms (0.5%)

bsearch30.0ms (0.2%)

regimes41.0ms (0.3%)

bsearch29.0ms (0.2%)

regimes38.0ms (0.3%)

bsearch30.0ms (0.2%)

regimes21.0ms (0.2%)

simplify11.0ms (0.1%)

soundness0.0ms (0%)

end351.0ms (2.9%)

Profiling