Details

analyze3.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
33.3%	25%	50%	0%	0%	25%	0%	3
75%	37.5%	12.5%	0%	12.5%	37.5%	0%	4
87.5%	43.7%	6.2%	0%	12.5%	37.5%	0%	5
93.8%	46.9%	3.1%	0%	12.5%	37.5%	0%	6
96.9%	48.4%	1.6%	0%	12.5%	37.5%	0%	7
98.4%	49.2%	0.8%	0%	12.5%	37.5%	0%	8
99.2%	49.6%	0.4%	0%	12.5%	37.5%	0%	9
99.6%	49.8%	0.2%	0%	12.5%	37.5%	0%	10
99.8%	49.9%	0.1%	0%	12.5%	37.5%	0%	11
99.9%	49.9%	0%	0%	12.5%	37.5%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample3.2s (28.3%)

Results

1.8s	1008×	body	512	valid
645.0ms	2095×	body	1024	valid
634.0ms	4895×	body	256	valid
145.0ms	258×	body	2048	valid

Bogosity

preprocess4.0ms (0%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

27.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.9b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.4b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	2.8b	(log.f64 (+.f64 N 1))

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	@	0	(log.f64 (+.f64 N 1))
0.0ms	N	@	-inf	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
0.0ms	N	@	-inf	(log.f64 (+.f64 N 1))
0.0ms	N	@	inf	(log.f64 (+.f64 N 1))
0.0ms	N	@	inf	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

rewrite169.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

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

Outputs

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

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

simplify331.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1992×	`rational.json-simplify-35`
1916×	`rational.json-simplify-1`
1040×	`rational.json-simplify-51`
1038×	`rational.json-simplify-52`
1026×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	2939
1	400	2923
2	984	2311
3	2257	2311
4	3680	2311
5	4640	2311
6	5718	2311
7	7042	2311
8	7573	2311
9	7834	2311
10	7849	2311

Stop Event

1×	node limit

Counts

99 → 133

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

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 -1/4 (pow.f64 N 4)) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (+.f64 (.f64 -1/2 (pow.f64 N 2)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/4 (pow.f64 N 4)))))
(+.f64 (.f64 -1/2 (pow.f64 N 2)) (+.f64 N (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/4 (pow.f64 N 4)))))
(*.f64 -1 (log.f64 (/.f64 1 N)))
(neg.f64 (log.f64 (/.f64 1 N)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (*.f64 -1 (log.f64 (/.f64 1 N))))
(+.f64 (/.f64 1 N) (neg.f64 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (neg.f64 (log.f64 (/.f64 1 N)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (neg.f64 (log.f64 (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (-.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (neg.f64 (log.f64 (/.f64 1 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 1 N) (+.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (neg.f64 (log.f64 (/.f64 1 N)))))
(+.f64 (/.f64 1 N) (-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 N))) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(+.f64 (/.f64 1 N) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(+.f64 (/.f64 1 N) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (.f64 -1 (log.f64 (/.f64 -1 N))))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 1 N) (.f64 -1 (log.f64 (/.f64 -1 N)))) (-.f64 (log.f64 -1) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))))
(+.f64 (log.f64 -1) (-.f64 (+.f64 (/.f64 1 N) (neg.f64 (log.f64 (/.f64 -1 N)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.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))))
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eval39.0ms (0.3%)

Compiler: Compiled 1946 to 1445 computations (25.7% saved)

prune23.0ms (0.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	125	8	133
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	125	9	134

Error

0.0b

Counts

134 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.4b	(/.f64 1 N)
	33.8b	(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
▶	33.7b	(-.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)))))
▶	33.2b	(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
	27.9b	(-.f64 (*.f64 4 (log.f64 (pow.f64 (+.f64 N 1) 1/4))) (log.f64 N))
✓	27.9b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
▶	29.6b	(-.f64 N (log.f64 N))
▶	27.9b	(+.f64 (-.f64 1 (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1))
	30.6b	(neg.f64 (log.f64 N))

Compiler

Compiled 202 to 166 computations (17.8% saved)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.4b	(+.f64 (-.f64 1 (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1))
	2.8b	(log.f64 (+.f64 N 1))

Compiler

Compiled 34 to 24 computations (29.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite123.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1488×	`rational.json-1`
1488×	`rational.json-2`
1488×	`rational.json-3`
1428×	`exponential.json-3`
1428×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	90	33
2	188	33
3	367	27
4	768	25
5	1945	25
6	4165	25
7	5696	25
8	7092	25

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

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

Outputs

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

simplify982.0ms (8.6%)

Algorithm

1×	egg-herbie

Rules

8258×	`rational.json-simplify-41`
3140×	`rational.json-simplify-35`
2108×	`rational.json-simplify-2`
1338×	`rational.json-simplify-49`
1172×	`rational.json-simplify-51`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	105	1227
1	225	1217
2	470	1217
3	1159	1217
4	1999	1213
5	3094	1213
6	3613	1213
7	3788	1213
8	3974	1213
9	4177	1213
10	4331	1213
11	4437	1213
12	4528	1213
13	4595	1213
14	4725	1213
15	4794	1213
16	4863	1213
17	4924	1213
18	4985	1213
19	5959	1213
20	6563	1213
21	6729	1213
22	6811	1213
23	6902	1213
24	6922	1213
25	6943	1213
26	6949	1213
27	6949	1213
28	7014	1213
29	7079	1213
30	7144	1213
31	7209	1213
32	7274	1213
33	7339	1213
34	7404	1213
35	7469	1213
36	7534	1213
37	7599	1213

Stop Event

1×	node limit

Counts

39 → 60

Calls

Call 1

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

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

localize3.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% 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)

series8.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	N	@	0	(-.f64 N (log.f64 N))
2.0ms	N	@	-inf	(-.f64 N (log.f64 N))
1.0ms	N	@	inf	(-.f64 N (log.f64 N))

rewrite93.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

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

Outputs

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

simplify315.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node limit

Counts

62 → 58

Calls

Call 1

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

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

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
✓	0.2b	(/.f64 1 (pow.f64 N 2))
✓	0.7b	(/.f64 1 (pow.f64 N 3))
✓	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)

series3.0ms (0%)

Counts

4 → 20

Calls

12 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 (pow.f64 N 2))
0.0ms	N	@	0	(*.f64 1/3 (/.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))))

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	100
1	125	100
2	268	100
3	567	94
4	1300	94
5	4096	94

Stop Event

1×	node limit

Counts

4 → 111

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

simplify105.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1004×	`rational.json-simplify-61`
980×	`rational.json-simplify-44`
936×	`rational.json-simplify-2`
894×	`rational.json-simplify-47`
778×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	3689
1	382	3689
2	827	3689
3	2209	3689
4	5413	3689

Stop Event

1×	node limit

Counts

131 → 144

Calls

Call 1

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

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

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
	0.2b	(/.f64 1 (pow.f64 N 2))
	0.7b	(/.f64 1 (pow.f64 N 3))
✓	21.5b	(-.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)))))

Compiler

Compiled 110 to 91 computations (17.3% saved)

series1.0ms (0%)

Counts

1 → 9

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite79.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1490×	`rational.json-1`
1490×	`rational.json-2`
1490×	`rational.json-4`
1490×	`rational.json-3`
1486×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	79
1	165	79
2	337	79
3	711	73
4	1678	73
5	4901	73

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(-.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)))))

Outputs

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

simplify161.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1336×	`rational.json-simplify-52`
1218×	`rational.json-simplify-35`
1110×	`rational.json-simplify-2`
1048×	`rational.json-simplify-1`
868×	`rational.json-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	2535
1	156	2535
2	301	2535
3	720	2535
4	2002	2535
5	3436	2535
6	4237	2535
7	4632	2535
8	5246	2535
9	6485	2535

Stop Event

1×	node limit

Counts

39 → 39

Calls

Call 1

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

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

eval259.0ms (2.3%)

Compiler: Compiled 9643 to 7825 computations (18.9% saved)

prune123.0ms (1.1%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	446	7	453
Fresh	1	2	3
Picked	1	0	1
Done	1	4	5
Total	449	13	462

Error

0.0b

Counts

462 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.4b	(/.f64 1 N)
▶	33.8b	(-.f64 (/.f64 1 N) (*.f64 (/.f64 -1 (pow.f64 N 2)) -1/2))
	33.2b	(-.f64 (+.f64 (*.f64 (/.f64 -1 (pow.f64 N 3)) -1/3) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
▶	33.7b	(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2))))
▶	27.9b	(-.f64 (*.f64 4 (log.f64 (pow.f64 (+.f64 N 1) 1/4))) (log.f64 N))
✓	27.9b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	29.6b	(-.f64 N (log.f64 N))
✓	27.9b	(+.f64 (-.f64 1 (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1))
▶	29.6b	(+.f64 (+.f64 (-.f64 N (log.f64 N)) 2) -2)
	29.6b	(+.f64 (+.f64 N 1) (-.f64 -1 (log.f64 N)))
	29.6b	(+.f64 (.f64 N 1/2) (-.f64 (.f64 N 1/2) (log.f64 N)))
▶	30.6b	(neg.f64 (log.f64 N))
	60.9b	N

Compiler

Compiled 233 to 187 computations (19.7% saved)

localize90.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.4b	(-.f64 (*.f64 4 (log.f64 (pow.f64 (+.f64 N 1) 1/4))) (log.f64 N))
✓	2.8b	(log.f64 (pow.f64 (+.f64 N 1) 1/4))

Compiler

Compiled 40 to 31 computations (22.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	N	@	-inf	(log.f64 (pow.f64 (+.f64 N 1) 1/4))
0.0ms	N	@	inf	(log.f64 (pow.f64 (+.f64 N 1) 1/4))
0.0ms	N	@	0	(log.f64 (pow.f64 (+.f64 N 1) 1/4))
0.0ms	N	@	-inf	(-.f64 (*.f64 4 (log.f64 (pow.f64 (+.f64 N 1) 1/4))) (log.f64 N))
0.0ms	N	@	inf	(-.f64 (*.f64 4 (log.f64 (pow.f64 (+.f64 N 1) 1/4))) (log.f64 N))

rewrite74.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1388×	`rational.json-1`
1388×	`rational.json-2`
1388×	`rational.json-3`
1354×	`exponential.json-3`
1354×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	94	50
2	203	38
3	406	38
4	764	38
5	1841	38
6	4749	38

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (log.f64 (+.f64 N 1))) (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3/4) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 1 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 1 (log.f64 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (+.f64 N 1)) 3/4) (-.f64 (*.f64 1/4 (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)) 1/2) (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3/4) (log.f64 N)) (*.f64 1/4 (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/4 (log.f64 (+.f64 N 1))) (log.f64 N)) (*.f64 (log.f64 (+.f64 N 1)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)) (log.f64 (sqrt.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 (+.f64 N 1))) (-.f64 (neg.f64 (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/4 (log.f64 (+.f64 N 1))) (-.f64 1 (log.f64 N))) (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (-.f64 1 (log.f64 N))) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (log.f64 (+.f64 N 1)) 3/4) (-.f64 1 (log.f64 N))) (-.f64 (*.f64 1/4 (log.f64 (+.f64 N 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 1/4 (log.f64 (+.f64 N 1)))) (-.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3/4) (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 N 1)))) (-.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 (log.f64 (+.f64 N 1)) 3/4)) (-.f64 (-.f64 (*.f64 1/4 (log.f64 (+.f64 N 1))) (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 1/2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))) (-.f64 1 (*.f64 1/2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 4 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (log.f64 (pow.f64 (+.f64 N 1) 4)) (*.f64 4 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))) (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) (neg.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))))

simplify202.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1472×	`rational.json-simplify-35`
1346×	`rational.json-simplify-2`
1020×	`exponential.json-simplify-23`
914×	`rational.json-simplify-1`
816×	`rational.json-simplify-51`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	267	3130
1	565	3096
2	1137	3096
3	2661	3096
4	5067	3096
5	6245	3096
6	7227	3096
7	7953	3096

Stop Event

1×	node limit

Counts

118 → 163

Calls

Call 1

Inputs
(*.f64 1/4 N)
(+.f64 (.f64 -1/8 (pow.f64 N 2)) (.f64 1/4 N))
(+.f64 (.f64 -1/8 (pow.f64 N 2)) (+.f64 (.f64 1/4 N) (*.f64 1/12 (pow.f64 N 3))))
(+.f64 (.f64 -1/8 (pow.f64 N 2)) (+.f64 (.f64 1/4 N) (+.f64 (.f64 -1/16 (pow.f64 N 4)) (.f64 1/12 (pow.f64 N 3)))))
(log.f64 (pow.f64 (/.f64 1 N) -1/4))
(+.f64 (log.f64 (pow.f64 (/.f64 1 N) -1/4)) (*.f64 1/4 (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 (pow.f64 (/.f64 1 N) -1/4)) (.f64 1/4 (/.f64 1 N))) (.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 N 3))) (+.f64 (log.f64 (pow.f64 (/.f64 1 N) -1/4)) (.f64 1/4 (/.f64 1 N)))) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))
(+.f64 (.f64 1/4 (/.f64 1 N)) (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 N)) (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 N 3))) (+.f64 (.f64 1/4 (/.f64 1 N)) (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(*.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 (.f64 4 (log.f64 (pow.f64 (/.f64 1 N) -1/4))) (.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 4 (log.f64 (pow.f64 (/.f64 1 N) -1/4)))) (.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 4 (log.f64 (pow.f64 (/.f64 1 N) -1/4)))) (+.f64 (.f64 -1 (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 4 (log.f64 (pow.f64 (/.f64 1 N) -1/4))))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (*.f64 1/4 (log.f64 (+.f64 N 1))) 0)
(+.f64 0 (*.f64 1/4 (log.f64 (+.f64 N 1))))
(+.f64 (.f64 (log.f64 (+.f64 N 1)) 1/8) (.f64 (log.f64 (+.f64 N 1)) 1/8))
(-.f64 (*.f64 1/4 (log.f64 (+.f64 N 1))) 0)
(.f64 1 (.f64 1/4 (log.f64 (+.f64 N 1))))
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(.f64 (.f64 1/4 (log.f64 (+.f64 N 1))) 1)
(*.f64 4 (log.f64 (pow.f64 (+.f64 N 1) 1/16)))
(*.f64 4 (log.f64 (pow.f64 (pow.f64 (+.f64 N 1) 1/8) 1/2)))
(*.f64 4 (log.f64 (pow.f64 (pow.f64 (+.f64 N 1) 1/2) 1/8)))
(*.f64 (log.f64 (+.f64 N 1)) 1/4)
(*.f64 (log.f64 (pow.f64 (+.f64 N 1) 4)) 1/16)
(.f64 2 (.f64 (log.f64 (+.f64 N 1)) 1/8))
(*.f64 (log.f64 (pow.f64 (+.f64 N 1) 2)) 1/8)
(*.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 1/2)
(.f64 (.f64 (log.f64 (+.f64 N 1)) 8) 1/32)
(.f64 8 (.f64 1/4 (*.f64 (log.f64 (+.f64 N 1)) 1/8)))
(*.f64 8 (/.f64 (log.f64 (+.f64 N 1)) 32))
(*.f64 8 (log.f64 (pow.f64 (pow.f64 (+.f64 N 1) 1/16) 1/2)))
(*.f64 8 (log.f64 (pow.f64 (pow.f64 (+.f64 N 1) 1/4) 1/8)))
(*.f64 1/2 (log.f64 (sqrt.f64 (+.f64 N 1))))
(*.f64 16 (log.f64 (pow.f64 (+.f64 N 1) 1/64)))
(*.f64 1/16 (log.f64 (pow.f64 (+.f64 N 1) 4)))
(.f64 (.f64 (log.f64 (+.f64 N 1)) 1/8) 2)
(*.f64 1/8 (log.f64 (pow.f64 (+.f64 N 1) 2)))
(*.f64 (log.f64 (pow.f64 (+.f64 N 1) 1/16)) 4)
(.f64 1/32 (.f64 (log.f64 (+.f64 N 1)) 8))
(.f64 (.f64 1/4 (*.f64 (log.f64 (+.f64 N 1)) 1/8)) 8)
(*.f64 (/.f64 (log.f64 (+.f64 N 1)) 32) 8)
(*.f64 64 (log.f64 (pow.f64 (pow.f64 (+.f64 N 1) 1/16) 1/16)))
(.f64 1/64 (.f64 16 (log.f64 (+.f64 N 1))))
(/.f64 (*.f64 1/4 (log.f64 (+.f64 N 1))) 1)
(/.f64 (log.f64 (+.f64 N 1)) 4)
(/.f64 (log.f64 (pow.f64 (+.f64 N 1) 4)) 16)
(/.f64 (log.f64 (pow.f64 (+.f64 N 1) 2)) 8)
(/.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 2)
(/.f64 (*.f64 (log.f64 (+.f64 N 1)) 8) 32)
(/.f64 (*.f64 16 (log.f64 (+.f64 N 1))) 64)
(/.f64 (*.f64 (log.f64 (pow.f64 (+.f64 N 1) 4)) 8) 128)
(/.f64 (.f64 2 (.f64 (log.f64 (pow.f64 (+.f64 N 1) 4)) 8)) 256)
(pow.f64 (*.f64 1/4 (log.f64 (+.f64 N 1))) 1)
(+.f64 1 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -1))
(+.f64 (.f64 1/4 (log.f64 (+.f64 N 1))) (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) (log.f64 N)))
(+.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)
(+.f64 0 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(+.f64 -1 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 1 (log.f64 N))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(+.f64 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 1 (log.f64 N))) -1)
(+.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) (-.f64 (.f64 1/4 (log.f64 (+.f64 N 1))) (log.f64 N)))
(+.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))
(+.f64 (-.f64 1 (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1))
(+.f64 -2 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))
(+.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) (log.f64 N)) (.f64 1/4 (log.f64 (+.f64 N 1))))
(+.f64 (-.f64 (.f64 1/4 (log.f64 (+.f64 N 1))) (log.f64 N)) (.f64 (log.f64 (+.f64 N 1)) 3/4))
(+.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)) (log.f64 (sqrt.f64 (+.f64 N 1))))
(+.f64 (+.f64 1 (log.f64 (+.f64 N 1))) (-.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (+.f64 (.f64 1/4 (log.f64 (+.f64 N 1))) (-.f64 1 (log.f64 N))) (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) 1))
(+.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (-.f64 1 (log.f64 N))) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 1))
(+.f64 (+.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) (-.f64 1 (log.f64 N))) (-.f64 (.f64 1/4 (log.f64 (+.f64 N 1))) 1))
(+.f64 (+.f64 1 (.f64 1/4 (log.f64 (+.f64 N 1)))) (-.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) (log.f64 N)) 1))
(+.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 N 1)))) (-.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)) 1))
(+.f64 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) -2)
(+.f64 (+.f64 1 (.f64 (log.f64 (+.f64 N 1)) 3/4)) (-.f64 (-.f64 (.f64 1/4 (log.f64 (+.f64 N 1))) (log.f64 N)) 1))
(+.f64 (-.f64 -1 (.f64 1/2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))) (-.f64 1 (.f64 1/2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))
(*.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(.f64 1/4 (.f64 4 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(.f64 1/4 (-.f64 (log.f64 (pow.f64 (+.f64 N 1) 4)) (.f64 4 (log.f64 N))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))
(*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))
(*.f64 -1 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) 1/2)
(*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(.f64 (.f64 4 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 1/4)
(.f64 1/2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) 2)
(*.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)
(/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) 2)
(/.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(/.f64 (*.f64 4 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 4)
(/.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) -2)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8) 8)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)) 16)
(/.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))) 32)
(/.f64 (neg.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)))) 64)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) (neg.f64 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4))) 8)
(pow.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(neg.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))

Outputs
(*.f64 1/4 N)
(+.f64 (.f64 -1/8 (pow.f64 N 2)) (.f64 1/4 N))
(+.f64 (.f64 1/4 N) (.f64 -1/8 (pow.f64 N 2)))
(+.f64 (.f64 -1/8 (pow.f64 N 2)) (+.f64 (.f64 1/4 N) (*.f64 1/12 (pow.f64 N 3))))
(+.f64 (.f64 1/4 N) (+.f64 (.f64 -1/8 (pow.f64 N 2)) (*.f64 1/12 (pow.f64 N 3))))
(+.f64 (.f64 -1/8 (pow.f64 N 2)) (+.f64 (.f64 1/4 N) (+.f64 (.f64 -1/16 (pow.f64 N 4)) (.f64 1/12 (pow.f64 N 3)))))
(+.f64 (.f64 1/4 N) (+.f64 (+.f64 (.f64 1/12 (pow.f64 N 3)) (.f64 -1/16 (pow.f64 N 4))) (.f64 -1/8 (pow.f64 N 2))))
(+.f64 (.f64 1/4 N) (+.f64 (.f64 -1/8 (pow.f64 N 2)) (+.f64 (.f64 1/12 (pow.f64 N 3)) (.f64 -1/16 (pow.f64 N 4)))))
(log.f64 (pow.f64 (/.f64 1 N) -1/4))
(+.f64 (log.f64 (pow.f64 (/.f64 1 N) -1/4)) (*.f64 1/4 (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 (pow.f64 (/.f64 1 N) -1/4)) (.f64 1/4 (/.f64 1 N))) (.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(+.f64 (.f64 1/4 (/.f64 1 N)) (-.f64 (log.f64 (pow.f64 (/.f64 1 N) -1/4)) (.f64 1/8 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (log.f64 (pow.f64 (/.f64 1 N) -1/4)) (-.f64 (.f64 1/4 (/.f64 1 N)) (.f64 1/8 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 N 3))) (+.f64 (log.f64 (pow.f64 (/.f64 1 N) -1/4)) (.f64 1/4 (/.f64 1 N)))) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(+.f64 (+.f64 (log.f64 (pow.f64 (/.f64 1 N) -1/4)) (.f64 1/4 (/.f64 1 N))) (-.f64 (.f64 1/12 (/.f64 1 (pow.f64 N 3))) (*.f64 1/8 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (log.f64 (pow.f64 (/.f64 1 N) -1/4)) (+.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) (.f64 1/8 (/.f64 1 (pow.f64 N 2)))) (*.f64 1/12 (/.f64 1 (pow.f64 N 3)))))
(+.f64 (log.f64 (pow.f64 (/.f64 1 N) -1/4)) (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 N 3))) (-.f64 (.f64 1/4 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))))
(.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))
(*.f64 1/4 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))
(+.f64 (.f64 1/4 (/.f64 1 N)) (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(*.f64 1/4 (+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (/.f64 1 N)))
(*.f64 1/4 (+.f64 (log.f64 -1) (+.f64 (neg.f64 (log.f64 (/.f64 -1 N))) (/.f64 1 N))))
(*.f64 1/4 (+.f64 (neg.f64 (log.f64 (/.f64 -1 N))) (+.f64 (/.f64 1 N) (log.f64 -1))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 N)) (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(+.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (-.f64 (.f64 1/4 (/.f64 1 N)) (.f64 1/8 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (.f64 1/4 (+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (/.f64 1 N))) (.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 1/4 (+.f64 (log.f64 -1) (+.f64 (neg.f64 (log.f64 (/.f64 -1 N))) (/.f64 1 N)))) (.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 1/4 (+.f64 (neg.f64 (log.f64 (/.f64 -1 N))) (+.f64 (/.f64 1 N) (log.f64 -1)))) (.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 N 3))) (+.f64 (.f64 1/4 (/.f64 1 N)) (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(+.f64 (+.f64 (.f64 1/4 (/.f64 1 N)) (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (-.f64 (.f64 1/12 (/.f64 1 (pow.f64 N 3))) (*.f64 1/8 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (.f64 1/12 (/.f64 1 (pow.f64 N 3))) (-.f64 (.f64 1/4 (+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (/.f64 1 N))) (*.f64 1/8 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (.f64 1/12 (/.f64 1 (pow.f64 N 3))) (-.f64 (.f64 1/4 (+.f64 (log.f64 -1) (+.f64 (neg.f64 (log.f64 (/.f64 -1 N))) (/.f64 1 N)))) (*.f64 1/8 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (.f64 1/12 (/.f64 1 (pow.f64 N 3))) (-.f64 (.f64 1/4 (+.f64 (neg.f64 (log.f64 (/.f64 -1 N))) (+.f64 (/.f64 1 N) (log.f64 -1)))) (*.f64 1/8 (/.f64 1 (pow.f64 N 2)))))
(*.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 (pow.f64 N 2) -1/2)))
(+.f64 (neg.f64 (log.f64 N)) (+.f64 N (*.f64 (pow.f64 N 2) -1/2)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (+.f64 (neg.f64 (log.f64 N)) (+.f64 (.f64 (pow.f64 N 2) -1/2) (.f64 (pow.f64 N 3) 1/3))))
(+.f64 N (+.f64 (.f64 (pow.f64 N 2) -1/2) (+.f64 (neg.f64 (log.f64 N)) (.f64 (pow.f64 N 3) 1/3))))
(-.f64 (.f64 4 (log.f64 (pow.f64 (/.f64 1 N) -1/4))) (.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (.f64 -1/4 (log.f64 (pow.f64 (/.f64 1 N) 4))) (.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (*.f64 -1/4 (log.f64 (pow.f64 (/.f64 1 N) 4))) (neg.f64 (log.f64 (/.f64 1 N))))
(-.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 1 N) -1/4))) (neg.f64 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 4 (log.f64 (pow.f64 (/.f64 1 N) -1/4)))) (.f64 -1 (log.f64 (/.f64 1 N))))
(+.f64 (.f64 -1/4 (log.f64 (pow.f64 (/.f64 1 N) 4))) (-.f64 (/.f64 1 N) (.f64 -1 (log.f64 (/.f64 1 N)))))
(+.f64 (*.f64 -1/4 (log.f64 (pow.f64 (/.f64 1 N) 4))) (-.f64 (/.f64 1 N) (neg.f64 (log.f64 (/.f64 1 N)))))
(+.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 1 N) -1/4))) (-.f64 (/.f64 1 N) (neg.f64 (log.f64 (/.f64 1 N)))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 4 (log.f64 (pow.f64 (/.f64 1 N) -1/4)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 -1/4 (log.f64 (pow.f64 (/.f64 1 N) 4)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (*.f64 (/.f64 1 (pow.f64 N 2)) 1/2)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 -1/4 (log.f64 (pow.f64 (/.f64 1 N) 4)))) (+.f64 (neg.f64 (log.f64 (/.f64 1 N))) (.f64 (/.f64 1 (pow.f64 N 2)) 1/2)))
(+.f64 (.f64 4 (log.f64 (pow.f64 (/.f64 1 N) -1/4))) (-.f64 (/.f64 1 N) (+.f64 (neg.f64 (log.f64 (/.f64 1 N))) (.f64 (/.f64 1 (pow.f64 N 2)) 1/2))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 4 (log.f64 (pow.f64 (/.f64 1 N) -1/4))))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (+.f64 (.f64 -1/4 (log.f64 (pow.f64 (/.f64 1 N) 4))) (.f64 (/.f64 1 (pow.f64 N 3)) 1/3)) (-.f64 (/.f64 1 N) (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (.f64 (/.f64 1 (pow.f64 N 2)) 1/2))))
(+.f64 (/.f64 1 N) (-.f64 (+.f64 (.f64 -1/4 (log.f64 (pow.f64 (/.f64 1 N) 4))) (.f64 (/.f64 1 (pow.f64 N 3)) 1/3)) (+.f64 (neg.f64 (log.f64 (/.f64 1 N))) (*.f64 (/.f64 1 (pow.f64 N 2)) 1/2))))
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(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 (/.f64 1 (pow.f64 N 2)) 1/2))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
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(-.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 (pow.f64 N 3)) 1/3) (-.f64 (/.f64 1 N) (+.f64 (.f64 (/.f64 1 (pow.f64 N 2)) 1/2) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))))
(+.f64 (/.f64 1 N) (-.f64 (.f64 (/.f64 1 (pow.f64 N 3)) 1/3) (+.f64 (.f64 (/.f64 1 (pow.f64 N 2)) 1/2) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))))
(+.f64 (*.f64 1/4 (log.f64 (+.f64 N 1))) 0)
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(+.f64 0 (*.f64 1/4 (log.f64 (+.f64 N 1))))
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(+.f64 (.f64 (log.f64 (+.f64 N 1)) 1/8) (.f64 (log.f64 (+.f64 N 1)) 1/8))
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(-.f64 (*.f64 1/4 (log.f64 (+.f64 N 1))) 0)
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(.f64 1 (.f64 1/4 (log.f64 (+.f64 N 1))))
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(.f64 (.f64 1/4 (log.f64 (+.f64 N 1))) 1)
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(*.f64 4 (log.f64 (pow.f64 (+.f64 N 1) 1/16)))
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(*.f64 4 (log.f64 (pow.f64 (pow.f64 (+.f64 N 1) 1/8) 1/2)))
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(*.f64 4 (log.f64 (pow.f64 (pow.f64 (+.f64 N 1) 1/2) 1/8)))
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(*.f64 (log.f64 (+.f64 N 1)) 1/4)
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(*.f64 (log.f64 (pow.f64 (+.f64 N 1) 4)) 1/16)
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(.f64 2 (.f64 (log.f64 (+.f64 N 1)) 1/8))
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(*.f64 (log.f64 (pow.f64 (+.f64 N 1) 2)) 1/8)
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(*.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 1/2)
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(.f64 (.f64 (log.f64 (+.f64 N 1)) 8) 1/32)
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(.f64 8 (.f64 1/4 (*.f64 (log.f64 (+.f64 N 1)) 1/8)))
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(*.f64 8 (/.f64 (log.f64 (+.f64 N 1)) 32))
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(*.f64 8 (log.f64 (pow.f64 (pow.f64 (+.f64 N 1) 1/16) 1/2)))
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(*.f64 8 (log.f64 (pow.f64 (pow.f64 (+.f64 N 1) 1/4) 1/8)))
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(*.f64 1/2 (log.f64 (sqrt.f64 (+.f64 N 1))))
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(*.f64 16 (log.f64 (pow.f64 (+.f64 N 1) 1/64)))
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(*.f64 1/16 (log.f64 (pow.f64 (+.f64 N 1) 4)))
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(.f64 (.f64 (log.f64 (+.f64 N 1)) 1/8) 2)
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(*.f64 1/8 (log.f64 (pow.f64 (+.f64 N 1) 2)))
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(*.f64 (log.f64 (pow.f64 (+.f64 N 1) 1/16)) 4)
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(.f64 1/32 (.f64 (log.f64 (+.f64 N 1)) 8))
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(.f64 (.f64 1/4 (*.f64 (log.f64 (+.f64 N 1)) 1/8)) 8)
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(*.f64 (/.f64 (log.f64 (+.f64 N 1)) 32) 8)
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(*.f64 64 (log.f64 (pow.f64 (pow.f64 (+.f64 N 1) 1/16) 1/16)))
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(.f64 1/64 (.f64 16 (log.f64 (+.f64 N 1))))
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(/.f64 (*.f64 1/4 (log.f64 (+.f64 N 1))) 1)
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(/.f64 (log.f64 (+.f64 N 1)) 4)
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(/.f64 (log.f64 (pow.f64 (+.f64 N 1) 4)) 16)
(/.f64 (log.f64 (pow.f64 (+.f64 N 1) 2)) 8)
(/.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 2)
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(/.f64 (*.f64 (log.f64 (+.f64 N 1)) 8) 32)
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(/.f64 (*.f64 16 (log.f64 (+.f64 N 1))) 64)
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(/.f64 (*.f64 (log.f64 (pow.f64 (+.f64 N 1) 4)) 8) 128)
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(/.f64 (.f64 2 (.f64 (log.f64 (pow.f64 (+.f64 N 1) 4)) 8)) 256)
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(pow.f64 (*.f64 1/4 (log.f64 (+.f64 N 1))) 1)
(*.f64 1/4 (log.f64 (+.f64 N 1)))
(+.f64 1 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) -1))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (.f64 1/4 (log.f64 (+.f64 N 1))) (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) (log.f64 N)))
(+.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 0 (-.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)) (-.f64 1 (log.f64 N))))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (+.f64 (log.f64 (+.f64 N 1)) (-.f64 1 (log.f64 N))) -1)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) (-.f64 (.f64 1/4 (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)) 1/2) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (-.f64 1 (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 -2 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) (log.f64 N)) (.f64 1/4 (log.f64 (+.f64 N 1))))
(+.f64 (.f64 1/4 (log.f64 (+.f64 N 1))) (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) (log.f64 N)))
(+.f64 (-.f64 (.f64 1/4 (log.f64 (+.f64 N 1))) (log.f64 N)) (.f64 (log.f64 (+.f64 N 1)) 3/4))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)) (log.f64 (sqrt.f64 (+.f64 N 1))))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (+.f64 1 (log.f64 (+.f64 N 1))) (-.f64 (neg.f64 (log.f64 N)) 1))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (+.f64 (.f64 1/4 (log.f64 (+.f64 N 1))) (-.f64 1 (log.f64 N))) (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) 1))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (-.f64 1 (log.f64 N))) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 1))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (+.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) (-.f64 1 (log.f64 N))) (-.f64 (.f64 1/4 (log.f64 (+.f64 N 1))) 1))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (+.f64 1 (.f64 1/4 (log.f64 (+.f64 N 1)))) (-.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) (log.f64 N)) 1))
(+.f64 (.f64 1/4 (log.f64 (+.f64 N 1))) (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) (log.f64 N)))
(+.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 N 1)))) (-.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)) 1))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) -2)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (+.f64 1 (.f64 (log.f64 (+.f64 N 1)) 3/4)) (-.f64 (-.f64 (.f64 1/4 (log.f64 (+.f64 N 1))) (log.f64 N)) 1))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (-.f64 -1 (.f64 1/2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))) (-.f64 1 (.f64 1/2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))
(*.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 1/4 (.f64 4 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 1/4 (-.f64 (log.f64 (pow.f64 (+.f64 N 1) 4)) (.f64 4 (log.f64 N))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 -1 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) 1/2)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 (.f64 4 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 1/4)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 1/2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) 2)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) 2)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (*.f64 4 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 4)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) -2)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8) 8)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)) 16)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4) -4)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) -8)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))) 32)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (neg.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) 4)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)))) 64)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) (neg.f64 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4))) 8)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(pow.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(neg.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

localize4.0ms (0%)

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 11 computations (54.2% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite127.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	64	11
2	129	11
3	256	11
4	521	11
5	1383	11
6	3226	11
7	5161	11
8	7075	11

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

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

simplify234.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1792×	`rational.json-simplify-35`
1646×	`rational.json-simplify-52`
1426×	`rational.json-simplify-2`
1146×	`rational.json-simplify-1`
850×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	1043
1	241	931
2	714	931
3	1976	735
4	3740	735
5	5505	735
6	6037	735
7	6521	735
8	6749	735
9	6963	735
10	7275	735

Stop Event

1×	node limit

Counts

59 → 55

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 28 computations (20% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1348×	`rational.json-1`
1348×	`rational.json-2`
1348×	`rational.json-3`
1346×	`rational.json-4`
1330×	`exponential.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	92	44
2	203	44
3	410	44
4	868	44
5	2442	42
6	5744	42

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs

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

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

simplify117.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1650×	`rational.json-simplify-35`
1154×	`rational.json-simplify-46`
1072×	`rational.json-simplify-2`
648×	`rational.json-simplify-51`
638×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	147	2390
1	294	2030
2	617	2030
3	1697	1778
4	3604	1778
5	7327	1778

Stop Event

1×	node limit

Counts

86 → 92

Calls

Call 1

Inputs
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 -1 (-.f64 1 (/.f64 1 (pow.f64 N 2))))
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 N 2) (pow.f64 (*.f64 N N) 2))))
(+.f64 (/.f64 -1 (pow.f64 N 2)) 0)
(+.f64 0 (/.f64 -1 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/2 (pow.f64 N 2)))
(+.f64 (-.f64 1 (/.f64 1 (pow.f64 N 2))) -1)
(-.f64 (/.f64 -1 (pow.f64 N 2)) 0)
(-.f64 0 (/.f64 1 (pow.f64 N 2)))
(-.f64 0 (/.f64 (pow.f64 N 2) (pow.f64 (*.f64 N N) 2)))
(.f64 -1 (/.f64 (pow.f64 N 2) (pow.f64 (.f64 N N) 2)))
(*.f64 2 (/.f64 -1/2 (pow.f64 N 2)))
(.f64 (pow.f64 N 2) (/.f64 -1 (pow.f64 (.f64 N N) 2)))
(*.f64 (/.f64 -1 (pow.f64 N 2)) 1)
(*.f64 1 (/.f64 -1 (pow.f64 N 2)))
(.f64 -1/2 (.f64 2 (/.f64 1 (pow.f64 N 2))))
(.f64 -2 (/.f64 (pow.f64 N 2) (.f64 2 (pow.f64 (*.f64 N N) 2))))
(*.f64 4 (/.f64 (/.f64 -2 (pow.f64 N 2)) 8))
(*.f64 (/.f64 -2 (pow.f64 N 2)) 1/2)
(.f64 (neg.f64 (pow.f64 N 2)) (/.f64 1 (pow.f64 (.f64 N N) 2)))
(.f64 (.f64 2 (/.f64 -2 (pow.f64 N 2))) 1/4)
(.f64 (.f64 (pow.f64 N 2) -2) (/.f64 1/2 (pow.f64 (*.f64 N N) 2)))
(*.f64 1/2 (/.f64 -2 (pow.f64 N 2)))
(*.f64 (/.f64 1 (pow.f64 N 2)) -1)
(.f64 1/4 (.f64 2 (/.f64 -2 (pow.f64 N 2))))
(*.f64 (/.f64 -1/2 (pow.f64 N 2)) 2)
(.f64 (.f64 (pow.f64 N 2) -1/2) (/.f64 2 (pow.f64 (*.f64 N N) 2)))
(.f64 (.f64 2 (/.f64 1 (pow.f64 N 2))) -1/2)
(.f64 (/.f64 (pow.f64 N 2) (pow.f64 (.f64 N N) 2)) -1)
(.f64 (/.f64 2 (pow.f64 (.f64 N N) 2)) (*.f64 (pow.f64 N 2) -1/2))
(.f64 (/.f64 1 (pow.f64 (.f64 N N) 2)) (neg.f64 (pow.f64 N 2)))
(.f64 (/.f64 -1 (pow.f64 (.f64 N N) 2)) (pow.f64 N 2))
(.f64 (/.f64 1/2 (pow.f64 (.f64 N N) 2)) (*.f64 (pow.f64 N 2) -2))
(*.f64 (/.f64 (/.f64 -2 (pow.f64 N 2)) 8) 4)
(.f64 (/.f64 (pow.f64 N 2) (.f64 2 (pow.f64 (*.f64 N N) 2))) -2)
(pow.f64 (/.f64 -1 (pow.f64 N 2)) 1)
(neg.f64 (/.f64 1 (pow.f64 N 2)))
(neg.f64 (/.f64 (pow.f64 N 2) (pow.f64 (*.f64 N N) 2)))
(+.f64 -1 (+.f64 1 (-.f64 (/.f64 1 N) (neg.f64 (/.f64 -1/2 (pow.f64 N 2))))))
(+.f64 (/.f64 1 N) (neg.f64 (neg.f64 (/.f64 -1/2 (pow.f64 N 2)))))
(+.f64 (-.f64 (/.f64 1 N) (neg.f64 (/.f64 -1/2 (pow.f64 N 2)))) 0)
(+.f64 0 (-.f64 (/.f64 1 N) (neg.f64 (/.f64 -1/2 (pow.f64 N 2)))))
(+.f64 -2 (-.f64 1 (+.f64 -1 (-.f64 (neg.f64 (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1 N)))))
(+.f64 (neg.f64 (neg.f64 (/.f64 -1/2 (pow.f64 N 2)))) (/.f64 1 N))
(+.f64 (+.f64 1 (-.f64 (/.f64 1 N) (neg.f64 (/.f64 -1/2 (pow.f64 N 2))))) -1)
(+.f64 (.f64 (-.f64 (/.f64 1 N) (neg.f64 (/.f64 -1/2 (pow.f64 N 2)))) 1/2) (.f64 (-.f64 (/.f64 1 N) (neg.f64 (/.f64 -1/2 (pow.f64 N 2)))) 1/2))
(+.f64 (-.f64 -1 (neg.f64 (/.f64 -1/2 (pow.f64 N 2)))) (-.f64 1 (/.f64 -1 N)))
(*.f64 -1 (-.f64 (neg.f64 (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1 N)))
(.f64 2 (.f64 (-.f64 (/.f64 1 N) (neg.f64 (/.f64 -1/2 (pow.f64 N 2)))) 1/2))
(.f64 2 (-.f64 (/.f64 1/2 N) (.f64 (/.f64 -1 (pow.f64 N 2)) -1/4)))
(*.f64 1 (-.f64 (/.f64 1 N) (neg.f64 (/.f64 -1/2 (pow.f64 N 2)))))
(*.f64 (-.f64 (/.f64 1 N) (neg.f64 (/.f64 -1/2 (pow.f64 N 2)))) 1)
(.f64 (.f64 -2 (-.f64 (neg.f64 (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1 N))) 1/2)
(*.f64 4 (/.f64 (-.f64 (/.f64 1 N) (neg.f64 (/.f64 -1/2 (pow.f64 N 2)))) 4))
(*.f64 (-.f64 (neg.f64 (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1 N)) -1)
(.f64 (.f64 (-.f64 (/.f64 1 N) (neg.f64 (/.f64 -1/2 (pow.f64 N 2)))) 4) 1/4)
(.f64 1/2 (.f64 -2 (-.f64 (neg.f64 (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1 N))))
(*.f64 1/2 (-.f64 (/.f64 2 N) (neg.f64 (/.f64 -1 (pow.f64 N 2)))))
(.f64 1/4 (.f64 (-.f64 (/.f64 1 N) (neg.f64 (/.f64 -1/2 (pow.f64 N 2)))) 4))
(*.f64 1/4 (-.f64 (/.f64 4 N) (neg.f64 (/.f64 -2 (pow.f64 N 2)))))
(.f64 (.f64 (-.f64 (/.f64 1 N) (neg.f64 (/.f64 -1/2 (pow.f64 N 2)))) 1/2) 2)
(*.f64 (/.f64 (-.f64 (/.f64 1 N) (neg.f64 (/.f64 -1/2 (pow.f64 N 2)))) 4) 4)
(/.f64 (-.f64 (/.f64 1 N) (neg.f64 (/.f64 -1/2 (pow.f64 N 2)))) 1)
(/.f64 (*.f64 -2 (-.f64 (neg.f64 (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1 N))) 2)
(/.f64 (-.f64 (neg.f64 (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1 N)) -1)
(/.f64 (*.f64 (-.f64 (/.f64 1 N) (neg.f64 (/.f64 -1/2 (pow.f64 N 2)))) 4) 4)
(/.f64 (*.f64 2 (-.f64 (neg.f64 (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1 N))) -2)
(/.f64 (*.f64 (-.f64 (/.f64 1 N) (neg.f64 (/.f64 -1/2 (pow.f64 N 2)))) 8) 8)
(/.f64 (*.f64 (-.f64 (neg.f64 (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1 N)) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (/.f64 1 N) (neg.f64 (/.f64 -1/2 (pow.f64 N 2)))) 8)) 16)
(/.f64 (neg.f64 (*.f64 2 (-.f64 (neg.f64 (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1 N)))) 2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (/.f64 1 N) (neg.f64 (/.f64 -1/2 (pow.f64 N 2)))) 8))) 32)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (-.f64 (neg.f64 (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1 N))))) 4)
(pow.f64 (-.f64 (/.f64 1 N) (neg.f64 (/.f64 -1/2 (pow.f64 N 2)))) 1)
(neg.f64 (-.f64 (neg.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 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
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(*.f64 (/.f64 (/.f64 -2 (pow.f64 N 2)) 8) 4)
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(.f64 2 (-.f64 (/.f64 1/2 N) (.f64 -1/2 (/.f64 -1/2 (pow.f64 N 2)))))
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(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
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(/.f64 (*.f64 (-.f64 (neg.f64 (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1 N)) 4) -4)
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(/.f64 (neg.f64 (*.f64 2 (-.f64 (neg.f64 (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1 N)))) 2)
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(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
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(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (/.f64 1 N) (neg.f64 (/.f64 -1/2 (pow.f64 N 2)))) 8))) 32)
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(/.f64 (.f64 2 (neg.f64 (.f64 2 (-.f64 (neg.f64 (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1 N))))) 4)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
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(pow.f64 (-.f64 (/.f64 1 N) (neg.f64 (/.f64 -1/2 (pow.f64 N 2)))) 1)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
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localize286.0ms (2.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 1/3 (/.f64 1 (pow.f64 N 3)))
✓	0.2b	(/.f64 1/2 (pow.f64 N 2))
	0.7b	(/.f64 1 (pow.f64 N 3))
✓	21.5b	(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2))))

Compiler

Compiled 99 to 81 computations (18.2% 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	@	-inf	(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2))))
0.0ms	N	@	0	(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2))))
0.0ms	N	@	inf	(/.f64 1/2 (pow.f64 N 2))
0.0ms	N	@	inf	(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2))))

rewrite83.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1398×	`rational.json-1`
1398×	`rational.json-2`
1398×	`rational.json-4`
1398×	`rational.json-3`
1390×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	86
1	159	86
2	330	86
3	720	86
4	1670	86
5	4729	86

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify127.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1382×	`rational.json-simplify-2`
850×	`rational.json-simplify-41`
714×	`rational.json-simplify-49`
590×	`rational.json-simplify-44`
586×	`rational.json-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	121	3256
1	239	3256
2	482	3256
3	1242	3256
4	4529	3058
5	7423	3058

Stop Event

1×	node limit

Counts

64 → 68

Calls

Call 1

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

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

eval171.0ms (1.5%)

Compiler: Compiled 8668 to 6850 computations (21% saved)

prune81.0ms (0.7%)

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	488	5	493
Fresh	1	3	4
Picked	0	1	1
Done	2	6	8
Total	491	15	506

Error

0.0b

Counts

506 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.4b	(/.f64 1 N)
▶	33.8b	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
	33.2b	(-.f64 (+.f64 (*.f64 (/.f64 -1 (pow.f64 N 3)) -1/3) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
✓	33.7b	(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2))))
▶	27.9b	(-.f64 (.f64 4 (.f64 (log.f64 (pow.f64 (+.f64 N 1) 1/16)) 4)) (log.f64 N))
✓	27.9b	(-.f64 (*.f64 4 (log.f64 (pow.f64 (+.f64 N 1) 1/4))) (log.f64 N))
✓	27.9b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	29.6b	(-.f64 N (log.f64 N))
▶	29.6b	(-.f64 -1 (+.f64 (log.f64 N) (-.f64 -1 N)))
▶	61.5b	(+.f64 (-.f64 (/.f64 -1/2 (pow.f64 N 2)) 1) (-.f64 1 (/.f64 -1 N)))
✓	27.9b	(+.f64 (-.f64 1 (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1))
▶	29.6b	(+.f64 (.f64 N 1/2) (-.f64 (.f64 N 1/2) (log.f64 N)))
	61.5b	(+.f64 -2 (-.f64 1 (+.f64 -1 (-.f64 (neg.f64 (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1 N)))))
✓	30.6b	(neg.f64 (log.f64 N))
	60.9b	N

Compiler

Compiled 259 to 212 computations (18.1% saved)

localize28.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 N 1) 1/16)
✓	2.6b	(-.f64 (.f64 4 (.f64 (log.f64 (pow.f64 (+.f64 N 1) 1/16)) 4)) (log.f64 N))
✓	3.0b	(log.f64 (pow.f64 (+.f64 N 1) 1/16))

Compiler

Compiled 52 to 42 computations (19.2% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	N	@	inf	(log.f64 (pow.f64 (+.f64 N 1) 1/16))
1.0ms	N	@	-inf	(-.f64 (.f64 4 (.f64 (log.f64 (pow.f64 (+.f64 N 1) 1/16)) 4)) (log.f64 N))
0.0ms	N	@	-inf	(log.f64 (pow.f64 (+.f64 N 1) 1/16))
0.0ms	N	@	inf	(-.f64 (.f64 4 (.f64 (log.f64 (pow.f64 (+.f64 N 1) 1/16)) 4)) (log.f64 N))
0.0ms	N	@	0	(log.f64 (pow.f64 (+.f64 N 1) 1/16))

rewrite83.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1488×	`rational.json-1`
1488×	`rational.json-2`
1488×	`rational.json-3`
1436×	`exponential.json-3`
1436×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	63
1	101	63
2	210	63
3	434	51
4	925	51
5	2186	51
6	5334	51

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

Inputs
(log.f64 (pow.f64 (+.f64 N 1) 1/16))
(-.f64 (.f64 4 (.f64 (log.f64 (pow.f64 (+.f64 N 1) 1/16)) 4)) (log.f64 N))
(pow.f64 (+.f64 N 1) 1/16)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/16 (log.f64 (+.f64 N 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/16 (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (+.f64 N 1)) 1/32) (*.f64 (log.f64 (+.f64 N 1)) 1/32))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/16 (log.f64 (+.f64 N 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/16 (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (log.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (log.f64 (pow.f64 (pow.f64 (+.f64 N 1) 8) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/16 (log.f64 (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 1/16 (*.f64 (log.f64 (+.f64 N 1)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (log.f64 (+.f64 N 1)) 64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (log.f64 (pow.f64 (pow.f64 (+.f64 N 1) 1/8) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 N 1)) 1/4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (*.f64 1/16 (*.f64 1/16 (log.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (log.f64 (pow.f64 (+.f64 N 1) 1/256)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (log.f64 (pow.f64 (pow.f64 (+.f64 N 1) 1/64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (log.f64 (+.f64 N 1)) 1/32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (pow.f64 (pow.f64 (+.f64 N 1) 1/4) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (log.f64 (+.f64 N 1))) 1/32)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 N 1)) 1/8) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (log.f64 (+.f64 N 1))) 1/64)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 N 1)) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 1/16 (*.f64 (log.f64 (+.f64 N 1)) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 (log.f64 (+.f64 N 1)) 128))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (log.f64 (pow.f64 (pow.f64 (+.f64 N 1) 1/16) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 16 (log.f64 (+.f64 N 1))) 1/256)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 (+.f64 N 1)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 32 (*.f64 1/16 (*.f64 (log.f64 (+.f64 N 1)) 1/32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (log.f64 (+.f64 N 1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 N 1)) 8) 1/128)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (log.f64 (sqrt.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 N 1)) 1/32) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/16 (*.f64 (log.f64 (+.f64 N 1)) 1/8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/16 (*.f64 (log.f64 (+.f64 N 1)) 1/4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/16 (*.f64 1/16 (log.f64 (+.f64 N 1)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/64 (*.f64 4 (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/32 (*.f64 2 (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/256 (*.f64 16 (log.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/16 (*.f64 (log.f64 (+.f64 N 1)) 1/32)) 32)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (+.f64 N 1)) 64) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/128 (*.f64 (log.f64 (+.f64 N 1)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (+.f64 N 1)) 128) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 (+.f64 N 1) 1/256)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/16 (log.f64 (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 N 1)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (log.f64 (+.f64 N 1))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 N 1)) 1/8) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (log.f64 (+.f64 N 1))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 N 1)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 16 (log.f64 (+.f64 N 1))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 N 1)) 8) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 N 1)) 32) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/16 (log.f64 (+.f64 N 1))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (+.f64 N 1)) 1/4) (+.f64 (neg.f64 (log.f64 N)) (*.f64 (log.f64 (+.f64 N 1)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (+.f64 N 1)) 1/4) (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3/4) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (+.f64 N 1)) 3/4) (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 1/4) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 -1 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (log.f64 N)) (*.f64 (log.f64 (+.f64 N 1)) 3/4)) (*.f64 (log.f64 (+.f64 N 1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 1/4) (log.f64 N)) (*.f64 (log.f64 (+.f64 N 1)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)) (log.f64 (sqrt.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 (+.f64 N 1)) 3/4) (log.f64 N)) (*.f64 (log.f64 (+.f64 N 1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 1/2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))) (-.f64 1 (*.f64 1/2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.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 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 2 (log.f64 (+.f64 N 1))) (*.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 4 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 4 (log.f64 (+.f64 N 1))) (*.f64 4 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))) (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))))) (*.f64 2 (neg.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) (neg.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x 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 (pow.f64 (+.f64 N 1) 1/16) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 N 1) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 N 1) 1/16) 1/2) (*.f64 (pow.f64 (+.f64 N 1) 1/16) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (+.f64 N 1) 1/16) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 N 1) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 N 1) 1/16) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 N 1) 1/16) (pow.f64 1 1/256))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 (+.f64 N 1) 1/16) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 (+.f64 N 1) 1/16) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 N 1) 1/16) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 N 1) 1/16) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (pow.f64 (+.f64 N 1) 1/16) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (+.f64 N 1) 1/16) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 N 1) 1/16) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 N 1) 1/16) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/16) (pow.f64 (*.f64 (+.f64 N 1) 1/2) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 N 1) 1/2) 1/16) (pow.f64 2 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 N (+.f64 N 2)) 1/16) (pow.f64 1/2 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/2 1/16) (pow.f64 (+.f64 N (+.f64 N 2)) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 4 1/16) (pow.f64 (/.f64 (+.f64 N 1) 4) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 N 1) 4) 1/16) (pow.f64 1/4 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 65536 1/16) (pow.f64 (*.f64 (+.f64 N 1) 1/65536) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 N 1) 65536) 1/16) (pow.f64 1/65536 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/256) (pow.f64 (+.f64 N 1) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 65536 1/256) (pow.f64 (pow.f64 (*.f64 (+.f64 N 1) 1/2) 16) 1/256))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 N (+.f64 N 2)) 16) 1/256) (pow.f64 1/65536 1/256))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 N 1) 1/16) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 N 1) 1/16) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 N 1) 1/16) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 N 1) 1/16) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 N 1) 1/16) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (+.f64 N 1) 1/16) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (+.f64 N 1) 1/16) 8))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (+.f64 N 1) 1/16) 8)))) 64)))))

simplify169.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1356×	`rational.json-simplify-35`
1026×	`rational.json-simplify-41`
984×	`rational.json-simplify-48`
918×	`rational.json-simplify-1`
670×	`rational.json-simplify-42`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	414	6029
1	906	4879
2	1757	4585
3	3689	4389
4	5446	4389
5	6400	4389
6	7613	4389

Stop Event

1×	node limit

Counts

173 → 245

Calls

Call 1

Inputs
(*.f64 1/16 N)
(+.f64 (.f64 -1/32 (pow.f64 N 2)) (.f64 1/16 N))
(+.f64 (.f64 -1/32 (pow.f64 N 2)) (+.f64 (.f64 1/16 N) (*.f64 1/48 (pow.f64 N 3))))
(+.f64 (.f64 -1/32 (pow.f64 N 2)) (+.f64 (.f64 -1/64 (pow.f64 N 4)) (+.f64 (.f64 1/16 N) (.f64 1/48 (pow.f64 N 3)))))
(log.f64 (pow.f64 (/.f64 1 N) -1/16))
(+.f64 (.f64 1/16 (.f64 (/.f64 1 N) (pow.f64 1 1/8))) (log.f64 (pow.f64 (/.f64 1 N) -1/16)))
(+.f64 (.f64 1/16 (.f64 (/.f64 1 N) (pow.f64 1 1/8))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1/256 (pow.f64 1 1/4)) (*.f64 -15/256 (pow.f64 1 1/8))) (pow.f64 N 2))) (log.f64 (pow.f64 (/.f64 1 N) -1/16))))
(+.f64 (.f64 1/16 (.f64 (/.f64 1 N) (pow.f64 1 1/8))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1/256 (pow.f64 1 1/4)) (.f64 -15/256 (pow.f64 1 1/8))) (pow.f64 N 2))) (+.f64 (log.f64 (pow.f64 (/.f64 1 N) -1/16)) (.f64 1/6 (/.f64 (+.f64 (.f64 1/2048 (pow.f64 1 1/4)) (+.f64 (.f64 465/4096 (pow.f64 1 1/8)) (*.f64 45/4096 (pow.f64 1 1/4)))) (pow.f64 N 3))))))
(.f64 1/16 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))
(+.f64 (.f64 1/16 (/.f64 1 N)) (.f64 1/16 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 N)) (.f64 1/16 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (.f64 1/32 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 N)) (+.f64 (.f64 1/16 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (.f64 1/48 (/.f64 1 (pow.f64 N 3))))) (*.f64 1/32 (/.f64 1 (pow.f64 N 2))))
(*.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 (.f64 16 (log.f64 (pow.f64 (/.f64 1 N) -1/16))) (.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 (.f64 16 (log.f64 (pow.f64 (/.f64 1 N) -1/16))) (.f64 (/.f64 1 N) (pow.f64 1 1/8))) (*.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 (.f64 8 (/.f64 (+.f64 (.f64 -1/256 (pow.f64 1 1/4)) (.f64 -15/256 (pow.f64 1 1/8))) (pow.f64 N 2))) (+.f64 (.f64 16 (log.f64 (pow.f64 (/.f64 1 N) -1/16))) (.f64 (/.f64 1 N) (pow.f64 1 1/8)))) (.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 (.f64 8 (/.f64 (+.f64 (.f64 -1/256 (pow.f64 1 1/4)) (.f64 -15/256 (pow.f64 1 1/8))) (pow.f64 N 2))) (+.f64 (.f64 16 (log.f64 (pow.f64 (/.f64 1 N) -1/16))) (+.f64 (.f64 8/3 (/.f64 (+.f64 (.f64 1/2048 (pow.f64 1 1/4)) (+.f64 (.f64 465/4096 (pow.f64 1 1/8)) (.f64 45/4096 (pow.f64 1 1/4)))) (pow.f64 N 3))) (.f64 (/.f64 1 N) (pow.f64 1 1/8))))) (.f64 -1 (log.f64 (/.f64 1 N))))
(/.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)))))
1
(+.f64 1 (*.f64 1/16 N))
(+.f64 1 (+.f64 (.f64 -15/512 (pow.f64 N 2)) (.f64 1/16 N)))
(+.f64 1 (+.f64 (.f64 -15/512 (pow.f64 N 2)) (+.f64 (.f64 1/16 N) (*.f64 155/8192 (pow.f64 N 3)))))
(pow.f64 N 1/16)
(+.f64 (pow.f64 N 1/16) (*.f64 1/16 (pow.f64 (/.f64 1 (pow.f64 N 15)) 1/16)))
(+.f64 (pow.f64 N 1/16) (+.f64 (.f64 1/16 (pow.f64 (/.f64 1 (pow.f64 N 15)) 1/16)) (.f64 -15/512 (pow.f64 (/.f64 1 (pow.f64 N 31)) 1/16))))
(+.f64 (pow.f64 N 1/16) (+.f64 (.f64 155/8192 (pow.f64 (/.f64 1 (pow.f64 N 47)) 1/16)) (+.f64 (.f64 1/16 (pow.f64 (/.f64 1 (pow.f64 N 15)) 1/16)) (*.f64 -15/512 (pow.f64 (/.f64 1 (pow.f64 N 31)) 1/16)))))
(exp.f64 (.f64 1/16 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 (.f64 1/16 (/.f64 (exp.f64 (.f64 1/16 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) N)) (exp.f64 (.f64 1/16 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))
(+.f64 (.f64 -15/512 (/.f64 (exp.f64 (.f64 1/16 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 2))) (+.f64 (.f64 1/16 (/.f64 (exp.f64 (.f64 1/16 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) N)) (exp.f64 (.f64 1/16 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))))
(+.f64 (.f64 155/8192 (/.f64 (exp.f64 (.f64 1/16 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (+.f64 (.f64 -15/512 (/.f64 (exp.f64 (.f64 1/16 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 2))) (+.f64 (.f64 1/16 (/.f64 (exp.f64 (.f64 1/16 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) N)) (exp.f64 (.f64 1/16 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))))
(+.f64 (*.f64 1/16 (log.f64 (+.f64 N 1))) 0)
(+.f64 0 (*.f64 1/16 (log.f64 (+.f64 N 1))))
(+.f64 (.f64 (log.f64 (+.f64 N 1)) 1/32) (.f64 (log.f64 (+.f64 N 1)) 1/32))
(-.f64 (*.f64 1/16 (log.f64 (+.f64 N 1))) 0)
(.f64 1 (.f64 1/16 (log.f64 (+.f64 N 1))))
(*.f64 1/16 (log.f64 (+.f64 N 1)))
(*.f64 1/16 (log.f64 (pow.f64 (pow.f64 (+.f64 N 1) 8) 1/8)))
(.f64 (.f64 1/16 (log.f64 (+.f64 N 1))) 1)
(.f64 4 (.f64 1/16 (*.f64 (log.f64 (+.f64 N 1)) 1/4)))
(*.f64 4 (/.f64 (log.f64 (+.f64 N 1)) 64))
(*.f64 4 (log.f64 (pow.f64 (pow.f64 (+.f64 N 1) 1/8) 1/8)))
(.f64 (.f64 (log.f64 (+.f64 N 1)) 1/4) 1/4)
(.f64 16 (.f64 1/16 (*.f64 1/16 (log.f64 (+.f64 N 1)))))
(*.f64 16 (log.f64 (pow.f64 (+.f64 N 1) 1/256)))
(*.f64 16 (log.f64 (pow.f64 (pow.f64 (+.f64 N 1) 1/64) 1/4)))
(.f64 2 (.f64 (log.f64 (+.f64 N 1)) 1/32))
(*.f64 2 (log.f64 (pow.f64 (pow.f64 (+.f64 N 1) 1/4) 1/8)))
(*.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 1/8)
(.f64 (.f64 2 (log.f64 (+.f64 N 1))) 1/32)
(.f64 (.f64 (log.f64 (+.f64 N 1)) 1/8) 1/2)
(.f64 (.f64 4 (log.f64 (+.f64 N 1))) 1/64)
(*.f64 (log.f64 (+.f64 N 1)) 1/16)
(.f64 8 (.f64 1/16 (*.f64 (log.f64 (+.f64 N 1)) 1/8)))
(*.f64 8 (/.f64 (log.f64 (+.f64 N 1)) 128))
(*.f64 8 (log.f64 (pow.f64 (pow.f64 (+.f64 N 1) 1/16) 1/8)))
(.f64 (.f64 16 (log.f64 (+.f64 N 1))) 1/256)
(.f64 1/2 (.f64 (log.f64 (+.f64 N 1)) 1/8))
(.f64 32 (.f64 1/16 (*.f64 (log.f64 (+.f64 N 1)) 1/32)))
(.f64 1/4 (.f64 (log.f64 (+.f64 N 1)) 1/4))
(.f64 (.f64 (log.f64 (+.f64 N 1)) 8) 1/128)
(*.f64 1/8 (log.f64 (sqrt.f64 (+.f64 N 1))))
(.f64 (.f64 (log.f64 (+.f64 N 1)) 1/32) 2)
(.f64 (.f64 1/16 (*.f64 (log.f64 (+.f64 N 1)) 1/8)) 8)
(.f64 (.f64 1/16 (*.f64 (log.f64 (+.f64 N 1)) 1/4)) 4)
(.f64 (.f64 1/16 (*.f64 1/16 (log.f64 (+.f64 N 1)))) 16)
(.f64 1/64 (.f64 4 (log.f64 (+.f64 N 1))))
(.f64 1/32 (.f64 2 (log.f64 (+.f64 N 1))))
(.f64 1/256 (.f64 16 (log.f64 (+.f64 N 1))))
(.f64 (.f64 1/16 (*.f64 (log.f64 (+.f64 N 1)) 1/32)) 32)
(*.f64 (/.f64 (log.f64 (+.f64 N 1)) 64) 4)
(.f64 1/128 (.f64 (log.f64 (+.f64 N 1)) 8))
(*.f64 (/.f64 (log.f64 (+.f64 N 1)) 128) 8)
(*.f64 (log.f64 (pow.f64 (+.f64 N 1) 1/256)) 16)
(/.f64 (*.f64 1/16 (log.f64 (+.f64 N 1))) 1)
(/.f64 (*.f64 (log.f64 (+.f64 N 1)) 1/4) 4)
(/.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) 8)
(/.f64 (*.f64 2 (log.f64 (+.f64 N 1))) 32)
(/.f64 (*.f64 (log.f64 (+.f64 N 1)) 1/8) 2)
(/.f64 (*.f64 4 (log.f64 (+.f64 N 1))) 64)
(/.f64 (log.f64 (+.f64 N 1)) 16)
(/.f64 (*.f64 16 (log.f64 (+.f64 N 1))) 256)
(/.f64 (*.f64 (log.f64 (+.f64 N 1)) 8) 128)
(/.f64 (*.f64 (log.f64 (+.f64 N 1)) 32) 512)
(pow.f64 (*.f64 1/16 (log.f64 (+.f64 N 1))) 1)
(+.f64 (.f64 (log.f64 (+.f64 N 1)) 1/4) (+.f64 (neg.f64 (log.f64 N)) (.f64 (log.f64 (+.f64 N 1)) 3/4)))
(+.f64 (.f64 (log.f64 (+.f64 N 1)) 1/4) (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) (log.f64 N)))
(+.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0)
(+.f64 0 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(+.f64 -1 (+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)))
(+.f64 (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(+.f64 (+.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) -1)
(+.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) (-.f64 (.f64 (log.f64 (+.f64 N 1)) 1/4) (log.f64 N)))
(+.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))
(+.f64 -2 (-.f64 1 (+.f64 -1 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))
(+.f64 (+.f64 (neg.f64 (log.f64 N)) (.f64 (log.f64 (+.f64 N 1)) 3/4)) (.f64 (log.f64 (+.f64 N 1)) 1/4))
(+.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 1/4) (log.f64 N)) (.f64 (log.f64 (+.f64 N 1)) 3/4))
(+.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)) (log.f64 (sqrt.f64 (+.f64 N 1))))
(+.f64 (-.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) (log.f64 N)) (.f64 (log.f64 (+.f64 N 1)) 1/4))
(+.f64 (-.f64 -1 (.f64 1/2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))) (-.f64 1 (.f64 1/2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))
(*.f64 1 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4))
(*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2))
(*.f64 2 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 N))))
(*.f64 -1 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) 1/2)
(*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(.f64 (.f64 4 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 1/4)
(.f64 1/2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2))
(.f64 1/2 (-.f64 (.f64 2 (log.f64 (+.f64 N 1))) (*.f64 (log.f64 N) 2)))
(.f64 1/4 (.f64 4 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))))
(.f64 1/4 (-.f64 (.f64 4 (log.f64 (+.f64 N 1))) (*.f64 4 (log.f64 N))))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1/2) 2)
(*.f64 (/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4) 4)
(/.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 2) 2)
(/.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) -1)
(/.f64 (*.f64 4 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) 4)
(/.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))) -2)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8) 8)
(/.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)) 16)
(/.f64 (neg.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))) 2)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))) 32)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))))) 4)
(/.f64 (neg.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))))) (.f64 2 (neg.f64 (.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))) 8)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) (neg.f64 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4))) 8)
(pow.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(neg.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(+.f64 (pow.f64 (+.f64 N 1) 1/16) 0)
(+.f64 0 (pow.f64 (+.f64 N 1) 1/16))
(+.f64 (.f64 (pow.f64 (+.f64 N 1) 1/16) 1/2) (.f64 (pow.f64 (+.f64 N 1) 1/16) 1/2))
(-.f64 (pow.f64 (+.f64 N 1) 1/16) 0)
(*.f64 1 (pow.f64 (+.f64 N 1) 1/16))
(*.f64 (pow.f64 (+.f64 N 1) 1/16) 1)
(*.f64 (pow.f64 (+.f64 N 1) 1/16) (pow.f64 1 1/256))
(*.f64 4 (/.f64 (pow.f64 (+.f64 N 1) 1/16) 4))
(.f64 2 (.f64 (pow.f64 (+.f64 N 1) 1/16) 1/2))
(.f64 (.f64 (pow.f64 (+.f64 N 1) 1/16) 2) 1/2)
(.f64 (.f64 (pow.f64 (+.f64 N 1) 1/16) 4) 1/4)
(.f64 1/2 (.f64 (pow.f64 (+.f64 N 1) 1/16) 2))
(.f64 1/4 (.f64 (pow.f64 (+.f64 N 1) 1/16) 4))
(.f64 (.f64 (pow.f64 (+.f64 N 1) 1/16) 1/2) 2)
(*.f64 (/.f64 (pow.f64 (+.f64 N 1) 1/16) 4) 4)
(.f64 (pow.f64 2 1/16) (pow.f64 (.f64 (+.f64 N 1) 1/2) 1/16))
(.f64 (pow.f64 (.f64 (+.f64 N 1) 1/2) 1/16) (pow.f64 2 1/16))
(*.f64 (pow.f64 (+.f64 N (+.f64 N 2)) 1/16) (pow.f64 1/2 1/16))
(*.f64 (pow.f64 1/2 1/16) (pow.f64 (+.f64 N (+.f64 N 2)) 1/16))
(*.f64 (pow.f64 4 1/16) (pow.f64 (/.f64 (+.f64 N 1) 4) 1/16))
(.f64 (pow.f64 (.f64 (+.f64 N 1) 4) 1/16) (pow.f64 1/4 1/16))
(.f64 (pow.f64 65536 1/16) (pow.f64 (.f64 (+.f64 N 1) 1/65536) 1/16))
(.f64 (pow.f64 (.f64 (+.f64 N 1) 65536) 1/16) (pow.f64 1/65536 1/16))
(*.f64 (pow.f64 1 1/256) (pow.f64 (+.f64 N 1) 1/16))
(.f64 (pow.f64 65536 1/256) (pow.f64 (pow.f64 (.f64 (+.f64 N 1) 1/2) 16) 1/256))
(*.f64 (pow.f64 (pow.f64 (+.f64 N (+.f64 N 2)) 16) 1/256) (pow.f64 1/65536 1/256))
(/.f64 (pow.f64 (+.f64 N 1) 1/16) 1)
(/.f64 (*.f64 (pow.f64 (+.f64 N 1) 1/16) 2) 2)
(/.f64 (*.f64 (pow.f64 (+.f64 N 1) 1/16) 4) 4)
(/.f64 (*.f64 (pow.f64 (+.f64 N 1) 1/16) 8) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 (+.f64 N 1) 1/16) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 (+.f64 N 1) 1/16) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (+.f64 N 1) 1/16) 8))) (.f64 2 (.f64 2 (.f64 (pow.f64 (+.f64 N 1) 1/16) 8)))) 64)

Outputs
(*.f64 1/16 N)
(+.f64 (.f64 -1/32 (pow.f64 N 2)) (.f64 1/16 N))
(+.f64 (.f64 1/16 N) (.f64 -1/32 (pow.f64 N 2)))
(+.f64 (.f64 -1/32 (pow.f64 N 2)) (+.f64 (.f64 1/16 N) (*.f64 1/48 (pow.f64 N 3))))
(+.f64 (.f64 1/16 N) (+.f64 (.f64 1/48 (pow.f64 N 3)) (*.f64 -1/32 (pow.f64 N 2))))
(+.f64 (.f64 1/16 N) (+.f64 (.f64 -1/32 (pow.f64 N 2)) (*.f64 1/48 (pow.f64 N 3))))
(+.f64 (.f64 -1/32 (pow.f64 N 2)) (+.f64 (.f64 -1/64 (pow.f64 N 4)) (+.f64 (.f64 1/16 N) (.f64 1/48 (pow.f64 N 3)))))
(+.f64 (.f64 -1/32 (pow.f64 N 2)) (+.f64 (.f64 1/16 N) (+.f64 (.f64 1/48 (pow.f64 N 3)) (.f64 -1/64 (pow.f64 N 4)))))
(+.f64 (.f64 1/16 N) (+.f64 (+.f64 (.f64 1/48 (pow.f64 N 3)) (.f64 -1/64 (pow.f64 N 4))) (.f64 -1/32 (pow.f64 N 2))))
(+.f64 (+.f64 (.f64 1/16 N) (.f64 1/48 (pow.f64 N 3))) (+.f64 (.f64 -1/32 (pow.f64 N 2)) (.f64 -1/64 (pow.f64 N 4))))
(log.f64 (pow.f64 (/.f64 1 N) -1/16))
(+.f64 (.f64 1/16 (.f64 (/.f64 1 N) (pow.f64 1 1/8))) (log.f64 (pow.f64 (/.f64 1 N) -1/16)))
(+.f64 (log.f64 (pow.f64 (/.f64 1 N) -1/16)) (*.f64 1/16 (/.f64 1 N)))
(+.f64 (.f64 1/16 (.f64 (/.f64 1 N) (pow.f64 1 1/8))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1/256 (pow.f64 1 1/4)) (*.f64 -15/256 (pow.f64 1 1/8))) (pow.f64 N 2))) (log.f64 (pow.f64 (/.f64 1 N) -1/16))))
(+.f64 (.f64 1/2 (/.f64 -1/16 (pow.f64 N 2))) (+.f64 (log.f64 (pow.f64 (/.f64 1 N) -1/16)) (.f64 1/16 (/.f64 1 N))))
(+.f64 (log.f64 (pow.f64 (/.f64 1 N) -1/16)) (+.f64 (.f64 1/2 (/.f64 -1/16 (pow.f64 N 2))) (.f64 1/16 (/.f64 1 N))))
(+.f64 (log.f64 (pow.f64 (/.f64 1 N) -1/16)) (+.f64 (.f64 1/16 (/.f64 1 N)) (.f64 1/2 (/.f64 -1/16 (pow.f64 N 2)))))
(+.f64 (.f64 1/16 (.f64 (/.f64 1 N) (pow.f64 1 1/8))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1/256 (pow.f64 1 1/4)) (.f64 -15/256 (pow.f64 1 1/8))) (pow.f64 N 2))) (+.f64 (log.f64 (pow.f64 (/.f64 1 N) -1/16)) (.f64 1/6 (/.f64 (+.f64 (.f64 1/2048 (pow.f64 1 1/4)) (+.f64 (.f64 465/4096 (pow.f64 1 1/8)) (*.f64 45/4096 (pow.f64 1 1/4)))) (pow.f64 N 3))))))
(+.f64 (.f64 1/2 (/.f64 -1/16 (pow.f64 N 2))) (+.f64 (+.f64 (log.f64 (pow.f64 (/.f64 1 N) -1/16)) (.f64 1/6 (/.f64 1/8 (pow.f64 N 3)))) (*.f64 1/16 (/.f64 1 N))))
(+.f64 (.f64 1/2 (/.f64 -1/16 (pow.f64 N 2))) (+.f64 (.f64 1/16 (/.f64 1 N)) (+.f64 (log.f64 (pow.f64 (/.f64 1 N) -1/16)) (*.f64 1/6 (/.f64 1/8 (pow.f64 N 3))))))
(+.f64 (log.f64 (pow.f64 (/.f64 1 N) -1/16)) (+.f64 (.f64 1/16 (/.f64 1 N)) (+.f64 (.f64 1/2 (/.f64 -1/16 (pow.f64 N 2))) (*.f64 1/6 (/.f64 1/8 (pow.f64 N 3))))))
(.f64 1/16 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))
(*.f64 1/16 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))
(+.f64 (.f64 1/16 (/.f64 1 N)) (.f64 1/16 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(*.f64 1/16 (+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (/.f64 1 N)))
(*.f64 1/16 (+.f64 (/.f64 1 N) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 N)) (.f64 1/16 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (.f64 1/32 (/.f64 1 (pow.f64 N 2))))
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(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)) 16)
(+.f64 (neg.f64 (log.f64 N)) (+.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) (.f64 1/4 (log.f64 (+.f64 N 1)))))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 1 (log.f64 (+.f64 N 1))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (neg.f64 (*.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))) 2)
(+.f64 (neg.f64 (log.f64 N)) (+.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) (.f64 1/4 (log.f64 (+.f64 N 1)))))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 1 (log.f64 (+.f64 N 1))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) -8)
(+.f64 (neg.f64 (log.f64 N)) (+.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) (.f64 1/4 (log.f64 (+.f64 N 1)))))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 1 (log.f64 (+.f64 N 1))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))) 32)
(+.f64 (neg.f64 (log.f64 N)) (+.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) (.f64 1/4 (log.f64 (+.f64 N 1)))))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 1 (log.f64 (+.f64 N 1))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (.f64 2 (neg.f64 (.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))))) 4)
(+.f64 (neg.f64 (log.f64 N)) (+.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) (.f64 1/4 (log.f64 (+.f64 N 1)))))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 1 (log.f64 (+.f64 N 1))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (neg.f64 (*.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) 4)
(+.f64 (neg.f64 (log.f64 N)) (+.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) (.f64 1/4 (log.f64 (+.f64 N 1)))))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 1 (log.f64 (+.f64 N 1))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8)))) 64)
(+.f64 (neg.f64 (log.f64 N)) (+.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) (.f64 1/4 (log.f64 (+.f64 N 1)))))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 1 (log.f64 (+.f64 N 1))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1)))))) (.f64 2 (neg.f64 (.f64 2 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))))) 8)
(+.f64 (neg.f64 (log.f64 N)) (+.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) (.f64 1/4 (log.f64 (+.f64 N 1)))))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 1 (log.f64 (+.f64 N 1))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4)) (neg.f64 (.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))) 4))) 8)
(+.f64 (neg.f64 (log.f64 N)) (+.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) (.f64 1/4 (log.f64 (+.f64 N 1)))))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 1 (log.f64 (+.f64 N 1))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(pow.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1)
(+.f64 (neg.f64 (log.f64 N)) (+.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) (.f64 1/4 (log.f64 (+.f64 N 1)))))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 1 (log.f64 (+.f64 N 1))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(neg.f64 (-.f64 (log.f64 N) (log.f64 (+.f64 N 1))))
(+.f64 (neg.f64 (log.f64 N)) (+.f64 (.f64 (log.f64 (+.f64 N 1)) 3/4) (.f64 1/4 (log.f64 (+.f64 N 1)))))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 1 (log.f64 (+.f64 N 1))))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (pow.f64 (+.f64 N 1) 1/16) 0)
(pow.f64 (+.f64 N 1) 1/16)
(+.f64 0 (pow.f64 (+.f64 N 1) 1/16))
(pow.f64 (+.f64 N 1) 1/16)
(+.f64 (.f64 (pow.f64 (+.f64 N 1) 1/16) 1/2) (.f64 (pow.f64 (+.f64 N 1) 1/16) 1/2))
(pow.f64 (+.f64 N 1) 1/16)
(-.f64 (pow.f64 (+.f64 N 1) 1/16) 0)
(pow.f64 (+.f64 N 1) 1/16)
(*.f64 1 (pow.f64 (+.f64 N 1) 1/16))
(pow.f64 (+.f64 N 1) 1/16)
(*.f64 (pow.f64 (+.f64 N 1) 1/16) 1)
(pow.f64 (+.f64 N 1) 1/16)
(*.f64 (pow.f64 (+.f64 N 1) 1/16) (pow.f64 1 1/256))
(pow.f64 (+.f64 N 1) 1/16)
(*.f64 4 (/.f64 (pow.f64 (+.f64 N 1) 1/16) 4))
(pow.f64 (+.f64 N 1) 1/16)
(.f64 2 (.f64 (pow.f64 (+.f64 N 1) 1/16) 1/2))
(pow.f64 (+.f64 N 1) 1/16)
(.f64 (.f64 (pow.f64 (+.f64 N 1) 1/16) 2) 1/2)
(pow.f64 (+.f64 N 1) 1/16)
(.f64 (.f64 (pow.f64 (+.f64 N 1) 1/16) 4) 1/4)
(pow.f64 (+.f64 N 1) 1/16)
(.f64 1/2 (.f64 (pow.f64 (+.f64 N 1) 1/16) 2))
(pow.f64 (+.f64 N 1) 1/16)
(.f64 1/4 (.f64 (pow.f64 (+.f64 N 1) 1/16) 4))
(pow.f64 (+.f64 N 1) 1/16)
(.f64 (.f64 (pow.f64 (+.f64 N 1) 1/16) 1/2) 2)
(pow.f64 (+.f64 N 1) 1/16)
(*.f64 (/.f64 (pow.f64 (+.f64 N 1) 1/16) 4) 4)
(pow.f64 (+.f64 N 1) 1/16)
(.f64 (pow.f64 2 1/16) (pow.f64 (.f64 (+.f64 N 1) 1/2) 1/16))
(pow.f64 (+.f64 N 1) 1/16)
(.f64 (pow.f64 (.f64 (+.f64 N 1) 1/2) 1/16) (pow.f64 2 1/16))
(pow.f64 (+.f64 N 1) 1/16)
(*.f64 (pow.f64 (+.f64 N (+.f64 N 2)) 1/16) (pow.f64 1/2 1/16))
(pow.f64 (*.f64 1/2 (+.f64 N (+.f64 N 2))) 1/16)
(pow.f64 (*.f64 1/2 (+.f64 2 (+.f64 N N))) 1/16)
(*.f64 (pow.f64 1/2 1/16) (pow.f64 (+.f64 N (+.f64 N 2)) 1/16))
(pow.f64 (*.f64 1/2 (+.f64 N (+.f64 N 2))) 1/16)
(pow.f64 (*.f64 1/2 (+.f64 2 (+.f64 N N))) 1/16)
(*.f64 (pow.f64 4 1/16) (pow.f64 (/.f64 (+.f64 N 1) 4) 1/16))
(pow.f64 (*.f64 4 (/.f64 (+.f64 N 1) 4)) 1/16)
(.f64 (pow.f64 (.f64 (+.f64 N 1) 4) 1/16) (pow.f64 1/4 1/16))
(pow.f64 (+.f64 N 1) 1/16)
(.f64 (pow.f64 65536 1/16) (pow.f64 (.f64 (+.f64 N 1) 1/65536) 1/16))
(pow.f64 (+.f64 N 1) 1/16)
(.f64 (pow.f64 (.f64 (+.f64 N 1) 65536) 1/16) (pow.f64 1/65536 1/16))
(pow.f64 (+.f64 N 1) 1/16)
(*.f64 (pow.f64 1 1/256) (pow.f64 (+.f64 N 1) 1/16))
(pow.f64 (+.f64 N 1) 1/16)
(.f64 (pow.f64 65536 1/256) (pow.f64 (pow.f64 (.f64 (+.f64 N 1) 1/2) 16) 1/256))
(pow.f64 (+.f64 N 1) 1/16)
(*.f64 (pow.f64 (pow.f64 (+.f64 N (+.f64 N 2)) 16) 1/256) (pow.f64 1/65536 1/256))
(pow.f64 (*.f64 1/2 (+.f64 N (+.f64 N 2))) 1/16)
(pow.f64 (*.f64 1/2 (+.f64 2 (+.f64 N N))) 1/16)
(/.f64 (pow.f64 (+.f64 N 1) 1/16) 1)
(pow.f64 (+.f64 N 1) 1/16)
(/.f64 (*.f64 (pow.f64 (+.f64 N 1) 1/16) 2) 2)
(pow.f64 (+.f64 N 1) 1/16)
(/.f64 (*.f64 (pow.f64 (+.f64 N 1) 1/16) 4) 4)
(pow.f64 (+.f64 N 1) 1/16)
(/.f64 (*.f64 (pow.f64 (+.f64 N 1) 1/16) 8) 8)
(pow.f64 (+.f64 N 1) 1/16)
(/.f64 (.f64 2 (.f64 (pow.f64 (+.f64 N 1) 1/16) 8)) 16)
(pow.f64 (+.f64 N 1) 1/16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 (+.f64 N 1) 1/16) 8))) 32)
(pow.f64 (+.f64 N 1) 1/16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (+.f64 N 1) 1/16) 8))) (.f64 2 (.f64 2 (.f64 (pow.f64 (+.f64 N 1) 1/16) 8)))) 64)
(pow.f64 (+.f64 N 1) 1/16)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 13 computations (40.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite154.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1582×	`rational.json-1`
1582×	`rational.json-2`
1270×	`rational.json-simplify-35`
1240×	`rational.json-3`
1180×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	60	40
2	131	40
3	269	38
4	513	36
5	1146	36
6	2720	36
7	4362	36
8	5793	36
9	7796	36

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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

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

simplify237.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1858×	`rational.json-simplify-2`
1696×	`rational.json-simplify-52`
1678×	`rational.json-simplify-35`
1530×	`rational.json-simplify-1`
1366×	`rational.json-simplify-51`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	151	2284
1	330	1912
2	955	1792
3	1888	1792
4	3497	1792
5	4346	1768
6	4582	1768
7	4999	1768
8	5290	1768
9	5966	1764
10	6732	1764

Stop Event

1×	node limit

Counts

92 → 99

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 19 computations (24% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite140.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify140.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

48 → 40

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 14 computations (41.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite134.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1386×	`rational.json-1`
1386×	`rational.json-2`
1386×	`rational.json-3`
1320×	`exponential.json-3`
1320×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	46
1	58	46
2	120	46
3	251	46
4	473	32
5	1112	32
6	2742	32
7	4584	32
8	6346	32

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs

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

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

simplify210.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

2004×	`rational.json-simplify-51`
1586×	`rational.json-simplify-35`
908×	`rational.json-simplify-1`
906×	`rational.json-simplify-2`
704×	`rational.json-simplify-48`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	167	2216
1	328	2192
2	730	2192
3	1647	2192
4	2719	2192
5	3275	2192
6	3489	2192
7	3796	2180
8	4172	2180
9	4419	2180
10	5972	2180
11	7324	2180

Stop Event

1×	node limit

Counts

100 → 100

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

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

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 -1/2 (pow.f64 N 2))
✓	2.6b	(+.f64 (-.f64 (/.f64 -1/2 (pow.f64 N 2)) 1) (-.f64 1 (/.f64 -1 N)))

Compiler

Compiled 42 to 34 computations (19% 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	@	inf	(+.f64 (-.f64 (/.f64 -1/2 (pow.f64 N 2)) 1) (-.f64 1 (/.f64 -1 N)))
0.0ms	N	@	inf	(/.f64 -1/2 (pow.f64 N 2))
0.0ms	N	@	0	(+.f64 (-.f64 (/.f64 -1/2 (pow.f64 N 2)) 1) (-.f64 1 (/.f64 -1 N)))
0.0ms	N	@	-inf	(+.f64 (-.f64 (/.f64 -1/2 (pow.f64 N 2)) 1) (-.f64 1 (/.f64 -1 N)))

rewrite90.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1602×	`rational.json-1`
1602×	`rational.json-2`
1602×	`rational.json-3`
1600×	`rational.json-4`
1584×	`exponential.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	99	50
2	220	50
3	479	50
4	1072	44
5	3047	42
6	6796	42

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify114.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1236×	`rational.json-simplify-51`
1208×	`rational.json-simplify-35`
1000×	`rational.json-simplify-50`
984×	`rational.json-simplify-2`
698×	`rational.json-simplify-1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	107	1674
1	204	1598
2	482	1586
3	1143	1550
4	2940	1550
5	5614	1352
6	6715	1352

Stop Event

1×	node limit

Counts

62 → 65

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

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

eval217.0ms (1.9%)

Compiler: Compiled 9230 to 7074 computations (23.4% saved)

prune140.0ms (1.2%)

Pruning

14 alts after pruning (4 fresh and 10 done)

	Pruned	Kept	Total
New	569	2	571
Fresh	1	2	3
Picked	1	0	1
Done	1	10	11
Total	572	14	586

Error

0.0b

Counts

586 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.4b	(/.f64 1 N)
✓	33.8b	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
	33.2b	(-.f64 (+.f64 (*.f64 (/.f64 -1 (pow.f64 N 3)) -1/3) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
✓	33.7b	(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2))))
✓	27.9b	(-.f64 (.f64 4 (.f64 (log.f64 (pow.f64 (+.f64 N 1) 1/16)) 4)) (log.f64 N))
✓	27.9b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓	29.6b	(-.f64 N (log.f64 N))
✓	29.6b	(-.f64 -1 (+.f64 (log.f64 N) (-.f64 -1 N)))
✓	27.9b	(+.f64 (-.f64 1 (log.f64 N)) (+.f64 (log.f64 (+.f64 N 1)) -1))
✓	29.6b	(+.f64 (.f64 N 1/2) (-.f64 (.f64 N 1/2) (log.f64 N)))
	61.5b	(+.f64 -1 (+.f64 (-.f64 1 (/.f64 1/2 (pow.f64 N 2))) (/.f64 1 N)))
	29.6b	(.f64 1/4 (+.f64 (-.f64 N (.f64 (log.f64 N) 4)) (*.f64 N 3)))
✓	30.6b	(neg.f64 (log.f64 N))
	60.9b	N

Compiler

Compiled 150 to 120 computations (20% saved)

regimes43.0ms (0.4%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	N
13.0ms	(-.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 271 to 206 computations (24% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00011124411157759084	0.02365188977405852

Compiler

Compiled 12 to 9 computations (25% saved)

regimes39.0ms (0.3%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	N
15.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

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

Compiler

Compiled 219 to 162 computations (26% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00011124411157759084	0.02365188977405852

Compiler

Compiled 12 to 9 computations (25% saved)

regimes28.0ms (0.2%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 159 to 114 computations (28.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.6357050703372806e-10	0.00011124411157759084

Compiler

Compiled 12 to 9 computations (25% saved)

regimes20.0ms (0.2%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
0.8b	2	`N`

Compiler

Compiled 133 to 96 computations (27.8% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	0.7926854088674191	41.781890655507496

Results

13.0ms

112×

body

256

valid

Compiler

Compiled 187 to 149 computations (20.3% saved)

regimes16.0ms (0.1%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
0.8b	2	`N`

Compiler

Compiled 79 to 52 computations (34.2% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	0.7926854088674191	41.781890655507496

Results

12.0ms

112×

body

256

valid

Compiler

Compiled 173 to 135 computations (22% saved)

regimes212.0ms (1.9%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

211.0ms

Results

Error	Segments	Branch
0.8b	2	`N`

Compiler

Compiled 47 to 28 computations (40.4% saved)

bsearch557.0ms (4.9%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
557.0ms	0.7926854088674191	41.781890655507496

Results

555.0ms

112×

body

256

valid

Compiler

Compiled 159 to 128 computations (19.5% saved)

regimes11.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
1.1b	2	`N`

Compiler

Compiled 38 to 21 computations (44.7% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
13.0ms	0.7926854088674191	41.781890655507496

Results

12.0ms

112×

body

256

valid

Compiler

Compiled 117 to 93 computations (20.5% saved)

regimes98.0ms (0.9%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

97.0ms

Results

Error	Segments	Branch
1.1b	2	`N`

Compiler

Compiled 14 to 7 computations (50% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
13.0ms	0.7926854088674191	41.781890655507496

Results

12.0ms

112×

body

256

valid

Compiler

Compiled 89 to 65 computations (27% saved)

regimes8.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
1.6b	2	`N`

Compiler

Compiled 10 to 6 computations (40% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	0.004217163110137193	0.7926854088674191

Results

12.0ms

112×

body

256

valid

Compiler

Compiled 82 to 65 computations (20.7% saved)

regimes4.0ms (0%)

Accuracy

Total -28.6b remaining (-88.3%)

Threshold costs -28.6b (-88.3%)

Counts

2 → 1

Calls

Call 1

Inputs
N
(/.f64 1 N)

Outputs
(/.f64 1 N)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
32.4b	1	`N`

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify146.0ms (1.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	585

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/36893488147419103232) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2)))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/36893488147419103232) (-.f64 (+.f64 (*.f64 (/.f64 -1 (pow.f64 N 3)) -1/3) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4835703278458517/9671406556917033397649408) (-.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 1/4 (+.f64 (-.f64 N (.f64 (log.f64 N) 4)) (*.f64 N 3))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(if (<=.f64 N 8106479329266893/9007199254740992) (+.f64 (.f64 N 1/2) (-.f64 (.f64 N 1/2) (log.f64 N))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(if (<=.f64 N 8106479329266893/9007199254740992) (+.f64 (+.f64 N 1) (-.f64 -1 (log.f64 N))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(if (<=.f64 N 1) (+.f64 (+.f64 N 1) (-.f64 -1 (log.f64 N))) (/.f64 1 N))
(if (<=.f64 N 1) (-.f64 N (log.f64 N)) (/.f64 1 N))
(if (<=.f64 N 2476979795053773/4503599627370496) (neg.f64 (log.f64 N)) (/.f64 1 N))
(/.f64 1 N)
N

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/36893488147419103232) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2)))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/36893488147419103232) (-.f64 (+.f64 (*.f64 (/.f64 -1 (pow.f64 N 3)) -1/3) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4835703278458517/9671406556917033397649408) (-.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 1/4 (+.f64 (-.f64 N (.f64 (log.f64 N) 4)) (*.f64 N 3))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(if (<=.f64 N 8106479329266893/9007199254740992) (+.f64 (.f64 N 1/2) (-.f64 (.f64 N 1/2) (log.f64 N))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(if (<=.f64 N 8106479329266893/9007199254740992) (+.f64 (+.f64 N 1) (-.f64 -1 (log.f64 N))) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(if (<=.f64 N 1) (+.f64 (+.f64 N 1) (-.f64 -1 (log.f64 N))) (/.f64 1 N))
(if (<=.f64 N 1) (-.f64 N (log.f64 N)) (/.f64 1 N))
(if (<=.f64 N 2476979795053773/4503599627370496) (neg.f64 (log.f64 N)) (/.f64 1 N))
(/.f64 1 N)
N

Compiler

Compiled 222 to 168 computations (24.3% saved)

soundness156.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1336×	`rational.json-simplify-52`
1218×	`rational.json-simplify-35`
1110×	`rational.json-simplify-2`
1048×	`rational.json-simplify-1`
868×	`rational.json-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	2535
1	156	2535
2	301	2535
3	720	2535
4	2002	2535
5	3436	2535
6	4237	2535
7	4632	2535
8	5246	2535
9	6485	2535

Stop Event

1×	node limit

Compiler

Compiled 51 to 43 computations (15.7% saved)

end120.0ms (1%)

Compiler: Compiled 212 to 150 computations (29.2% saved)