Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	23.7%	76.3%	0%	0%	0%	0
0%	0%	23.7%	76.3%	0%	0%	0%	1
50%	11.9%	11.9%	76.3%	0%	0%	0%	2
75%	17.8%	5.9%	76.3%	0%	0%	0%	3
87.5%	20.8%	3%	76.3%	0%	0%	0%	4
93.8%	22.2%	1.5%	76.3%	0%	0%	0%	5
96.9%	23%	0.7%	76.3%	0%	0%	0%	6
98.4%	23.3%	0.4%	76.3%	0%	0%	0%	7
98.4%	23.3%	0.4%	76.3%	0%	0%	0%	8
98.8%	23.4%	0.3%	76.3%	0%	0%	0%	9
99%	23.5%	0.2%	76.3%	0%	0%	0%	10
99.1%	23.5%	0.2%	76.3%	0%	0%	0%	11
99.2%	23.5%	0.2%	76.3%	0%	0%	0%	12

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample3.6s (78.8%)

Results

2.4s	4363×	body	1024	valid
627.0ms	2158×	body	512	valid
380.0ms	507×	body	2048	valid
165.0ms	1228×	body	256	valid

Bogosity

preprocess4.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

8×	`rational.json-simplify-1`
4×	`rational.json-simplify-16`
4×	`rational.json-simplify-2`
2×	`rational.json-simplify-17`
2×	`rational.json-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	19	45
2	22	45
3	23	45
4	25	45
5	26	45
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`rational.json-simplify-1`
4×	`rational.json-simplify-16`
4×	`rational.json-simplify-2`
2×	`rational.json-simplify-17`
2×	`rational.json-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	19	45
2	22	45
3	23	45
4	25	45
5	26	45

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

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

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

eval3.0ms (0.1%)

Compiler: Compiled 61 to 39 computations (36.1% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	3	5

Error

62.0b

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	63.0b	(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) 1)
▶	62.0b	(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1) (.f64 n (log.f64 n)))

Compiler

Compiled 32 to 24 computations (25% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1)
✓	0.2b	(*.f64 n (log.f64 n))
✓	0.2b	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
✓	4.8b	(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1) (.f64 n (log.f64 n)))

Compiler

Compiled 49 to 32 computations (34.7% saved)

series50.0ms (1.1%)

Counts

4 → 44

Calls

12 calls:

Time	Variable		Point	Expression
28.0ms	n	@	0	(*.f64 n (log.f64 n))
10.0ms	n	@	inf	(*.f64 n (log.f64 n))
9.0ms	n	@	-inf	(*.f64 n (log.f64 n))
1.0ms	n	@	-inf	(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1) (.f64 n (log.f64 n)))
0.0ms	n	@	inf	(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1) (.f64 n (log.f64 n)))

rewrite89.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1280×	`rational.json-simplify-35`
1258×	`rational.json-1`
1258×	`rational.json-2`
1258×	`rational.json-3`
1210×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	108
1	90	108
2	203	108
3	423	108
4	874	108
5	2138	108
6	4903	108

Stop Event

1×	node limit

Counts

4 → 94

Calls

Call 1

Inputs
(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1) (.f64 n (log.f64 n)))
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(*.f64 n (log.f64 n))
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1)

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

simplify151.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1676×	`rational.json-simplify-35`
1314×	`rational.json-simplify-2`
1170×	`rational.json-simplify-1`
980×	`rational.json-simplify-52`
896×	`rational.json-simplify-48`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	264	5730
1	598	5328
2	1371	5004
3	3619	4974
4	5482	4974
5	7357	4950

Stop Event

1×	node limit

Counts

138 → 225

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 n (-.f64 1 (log.f64 n))) 1)
(-.f64 (+.f64 (.f64 n (-.f64 1 (log.f64 n))) (.f64 1/2 (pow.f64 n 2))) 1)
(-.f64 (+.f64 (.f64 n (-.f64 1 (log.f64 n))) (+.f64 (.f64 -1/6 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 2)))) 1)
(*.f64 -1 (log.f64 (/.f64 1 n)))
(+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n))))) (.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(.f64 -1 (.f64 n (-.f64 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 n))))))))
(+.f64 (.f64 -1 (.f64 n (-.f64 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 n)))))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(+.f64 (.f64 -1 (.f64 n (-.f64 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 n)))))))) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (.f64 1/2 (/.f64 1 n)))))
(-.f64 (+.f64 (.f64 -1 (.f64 n (-.f64 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 n)))))))) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (.f64 1/2 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
n
(+.f64 n (*.f64 1/2 (pow.f64 n 2)))
(+.f64 (.f64 -1/6 (pow.f64 n 3)) (+.f64 n (.f64 1/2 (pow.f64 n 2))))
(+.f64 (.f64 -1/6 (pow.f64 n 3)) (+.f64 n (+.f64 (.f64 1/12 (pow.f64 n 4)) (*.f64 1/2 (pow.f64 n 2)))))
(.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))
(+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 n))) (.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))))
(+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (.f64 n (log.f64 (/.f64 1 n)))))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(.f64 n (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 n)))))
(+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (log.f64 -1) (.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))))))
(+.f64 1 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (.f64 n (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 n))))) (.f64 1/2 (/.f64 1 n))))))
(-.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (.f64 n (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 n))))) (.f64 1/2 (/.f64 1 n)))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))
(.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))
(.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))
(.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))
(.f64 n (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(.f64 n (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(.f64 n (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(.f64 n (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
-1
(-.f64 n 1)
(-.f64 (+.f64 n (*.f64 1/2 (pow.f64 n 2))) 1)
(-.f64 (+.f64 n (+.f64 (.f64 -1/6 (pow.f64 n 3)) (.f64 1/2 (pow.f64 n 2)))) 1)
(.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 n))) (.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (.f64 n (log.f64 (/.f64 1 n))))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (.f64 n (log.f64 (/.f64 1 n)))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(.f64 n (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (log.f64 -1) (.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))))
(+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 n (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 n (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 1 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -2 (.f64 n (log.f64 n)))))
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(+.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (.f64 n (log.f64 n)))) 0)
(+.f64 0 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (.f64 n (log.f64 n)))))
(+.f64 -1 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))))
(+.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) -1)
(+.f64 (neg.f64 (.f64 n (log.f64 n))) (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1))
(+.f64 (-.f64 -1 (.f64 n (log.f64 n))) (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(+.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 1 (.f64 n (log.f64 n)))) -2)
(+.f64 -2 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 1 (.f64 n (log.f64 n)))))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (.f64 n (log.f64 n)))) 1/2) (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (.f64 n (log.f64 n)))) 1/2))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (.f64 n (log.f64 n)))) -2)) (-.f64 1 (/.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (.f64 n (log.f64 n)))) -2)))
(.f64 1 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))))
(.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 1)
(.f64 -1 (-.f64 (+.f64 1 (.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))))
(.f64 2 (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (.f64 n (log.f64 n)))) 1/2))
(.f64 (+.f64 (.f64 (-.f64 (.f64 n (log.f64 n)) (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -2) -2) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 4))
(.f64 4 (-.f64 (/.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 4) (/.f64 (*.f64 n (log.f64 n)) 4)))
(.f64 (-.f64 (+.f64 1 (.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -1)
(.f64 (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (.f64 n (log.f64 n)))) 4) 1/4)
(.f64 1/2 (+.f64 (.f64 (-.f64 (.f64 n (log.f64 n)) (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -2) -2))
(.f64 (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (.f64 n (log.f64 n)))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (.f64 n (log.f64 n)))) 4))
(.f64 1/4 (-.f64 (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 4) (.f64 n (*.f64 (log.f64 n) 4))))
(.f64 (/.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) -2) -2)
(.f64 (/.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 4) 4)
(/.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (.f64 n (log.f64 n)))) 1)
(/.f64 (+.f64 (.f64 (-.f64 (.f64 n (log.f64 n)) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -2) -2) 2)
(/.f64 (-.f64 (+.f64 1 (.f64 n (log.f64 n))) (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -1)
(/.f64 (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 8) 8)
(/.f64 (-.f64 (.f64 2 (-.f64 (.f64 n (log.f64 n)) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))) -2) -2)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (.f64 n (log.f64 n)))) 8)) 16)
(/.f64 (.f64 (-.f64 (+.f64 1 (.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4) -4)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 8))) 32)
(/.f64 (.f64 2 (.f64 (-.f64 (+.f64 1 (.f64 n (log.f64 n))) (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4)) -8)
(/.f64 (neg.f64 (.f64 (-.f64 (+.f64 1 (.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (.f64 n (log.f64 n)))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (.f64 n (log.f64 n)))) 8)))) 64)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (+.f64 1 (.f64 n (log.f64 n))) (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4)) (neg.f64 (.f64 (-.f64 (+.f64 1 (.f64 n (log.f64 n))) (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4))) 8)
(pow.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (.f64 n (log.f64 n)))) 1)
(neg.f64 (-.f64 (+.f64 1 (.f64 n (log.f64 n))) (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 0)
(+.f64 0 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 n 1)) (+.f64 n 1))) (log.f64 (pow.f64 (sqrt.f64 (+.f64 n 1)) (+.f64 n 1))))
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 0)
(/.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1)
(/.f64 (*.f64 (log.f64 (+.f64 n 1)) (+.f64 2 (+.f64 n n))) 2)
(/.f64 (.f64 (+.f64 n 1) (.f64 (log.f64 (+.f64 n 1)) 4)) 4)
(/.f64 (.f64 (.f64 (+.f64 n 1) 8) (log.f64 (+.f64 n 1))) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (+.f64 n 1) 8) (log.f64 (+.f64 n 1)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 n 1) 8) (log.f64 (+.f64 n 1))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 n 1) 8) (log.f64 (+.f64 n 1))))) (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 n 1) 8) (log.f64 (+.f64 n 1)))))) 64)
(pow.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1)
(log.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)))
(log.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 n 1)) 2) (+.f64 n 1)))
(+.f64 (*.f64 n (log.f64 n)) 0)
(+.f64 0 (*.f64 n (log.f64 n)))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 n) n)) (log.f64 (pow.f64 (sqrt.f64 n) n)))
(-.f64 (*.f64 n (log.f64 n)) 0)
(/.f64 (*.f64 n (log.f64 n)) 1)
(/.f64 (*.f64 (log.f64 n) (+.f64 n n)) 2)
(/.f64 (.f64 n (.f64 (log.f64 n) 4)) 4)
(/.f64 (.f64 (.f64 n (log.f64 n)) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 n (log.f64 n)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 n (log.f64 n)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 n (log.f64 n)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 n (log.f64 n)) 8)))) 64)
(pow.f64 (*.f64 n (log.f64 n)) 1)
(log.f64 (pow.f64 n n))
(log.f64 (pow.f64 (pow.f64 (sqrt.f64 n) n) 2))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1)
(+.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 0)
(+.f64 0 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1))
(+.f64 -1 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 1/2) (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 1/2))
(.f64 1 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1))
(.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 1)
(.f64 2 (.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 1/2))
(.f64 (+.f64 (.f64 (log.f64 (+.f64 n 1)) (+.f64 2 (+.f64 n n))) -2) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 4))
(.f64 (.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 4) 1/4)
(.f64 1/2 (+.f64 (.f64 (log.f64 (+.f64 n 1)) (+.f64 2 (+.f64 n n))) -2))
(.f64 (.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 4))
(.f64 (/.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 4) 4)
(/.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 1)
(/.f64 (+.f64 (*.f64 (log.f64 (+.f64 n 1)) (+.f64 2 (+.f64 n n))) -2) 2)
(/.f64 (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 8)))) 64)
(pow.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 1)

Outputs
-1
(-.f64 (*.f64 n (-.f64 1 (log.f64 n))) 1)
(+.f64 (*.f64 n (-.f64 1 (log.f64 n))) -1)
(+.f64 -1 (*.f64 n (-.f64 1 (log.f64 n))))
(-.f64 (+.f64 (.f64 n (-.f64 1 (log.f64 n))) (.f64 1/2 (pow.f64 n 2))) 1)
(+.f64 (.f64 1/2 (pow.f64 n 2)) (+.f64 (.f64 n (-.f64 1 (log.f64 n))) -1))
(+.f64 (.f64 n (-.f64 1 (log.f64 n))) (+.f64 -1 (.f64 1/2 (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 n (-.f64 1 (log.f64 n))) (+.f64 (.f64 -1/6 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 2)))) 1)
(+.f64 (+.f64 (.f64 1/2 (pow.f64 n 2)) (.f64 -1/6 (pow.f64 n 3))) (+.f64 (*.f64 n (-.f64 1 (log.f64 n))) -1))
(+.f64 -1 (+.f64 (.f64 n (-.f64 1 (log.f64 n))) (+.f64 (.f64 1/2 (pow.f64 n 2)) (*.f64 -1/6 (pow.f64 n 3)))))
(*.f64 -1 (log.f64 (/.f64 1 n)))
(neg.f64 (log.f64 (/.f64 1 n)))
(+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n))))
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(-.f64 (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 n))) (.f64 1/2 (/.f64 1 n))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 n))) (.f64 1/2 (/.f64 1 n))) (.f64 1/6 (/.f64 1 (pow.f64 n 2))))
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(*.f64 n 0)
0
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n
(+.f64 n (*.f64 1/2 (pow.f64 n 2)))
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(*.f64 (log.f64 (/.f64 1 n)) (neg.f64 n))
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(*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
-1
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(+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (.f64 n (log.f64 n))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (.f64 n (log.f64 n)))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (.f64 n (log.f64 n)))) 8)))) 64)
(+.f64 1 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -2 (.f64 n (log.f64 n)))))
(+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (.f64 n (log.f64 n))))
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (+.f64 1 (.f64 n (log.f64 n))) (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4)) (neg.f64 (.f64 (-.f64 (+.f64 1 (.f64 n (log.f64 n))) (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4))) 8)
(+.f64 1 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -2 (.f64 n (log.f64 n)))))
(+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (.f64 n (log.f64 n))))
(pow.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (.f64 n (log.f64 n)))) 1)
(+.f64 1 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -2 (.f64 n (log.f64 n)))))
(+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (.f64 n (log.f64 n))))
(neg.f64 (-.f64 (+.f64 1 (.f64 n (log.f64 n))) (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))))
(+.f64 1 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -2 (.f64 n (log.f64 n)))))
(+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (.f64 n (log.f64 n))))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 0)
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(+.f64 0 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 n 1)) (+.f64 n 1))) (log.f64 (pow.f64 (sqrt.f64 (+.f64 n 1)) (+.f64 n 1))))
(+.f64 (.f64 (+.f64 n 1) (log.f64 (sqrt.f64 (+.f64 n 1)))) (.f64 (+.f64 n 1) (log.f64 (sqrt.f64 (+.f64 n 1)))))
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 0)
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(/.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1)
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(/.f64 (*.f64 (log.f64 (+.f64 n 1)) (+.f64 2 (+.f64 n n))) 2)
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(/.f64 (.f64 (+.f64 n 1) (.f64 (log.f64 (+.f64 n 1)) 4)) 4)
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(/.f64 (.f64 (.f64 (+.f64 n 1) 8) (log.f64 (+.f64 n 1))) 8)
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(/.f64 (.f64 2 (.f64 (*.f64 (+.f64 n 1) 8) (log.f64 (+.f64 n 1)))) 16)
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 n 1) 8) (log.f64 (+.f64 n 1))))) 32)
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 n 1) 8) (log.f64 (+.f64 n 1))))) (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 n 1) 8) (log.f64 (+.f64 n 1)))))) 64)
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(pow.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1)
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(log.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)))
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(log.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 n 1)) 2) (+.f64 n 1)))
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(+.f64 (*.f64 n (log.f64 n)) 0)
(*.f64 n (log.f64 n))
(+.f64 0 (*.f64 n (log.f64 n)))
(*.f64 n (log.f64 n))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 n) n)) (log.f64 (pow.f64 (sqrt.f64 n) n)))
(*.f64 n (log.f64 n))
(-.f64 (*.f64 n (log.f64 n)) 0)
(*.f64 n (log.f64 n))
(/.f64 (*.f64 n (log.f64 n)) 1)
(*.f64 n (log.f64 n))
(/.f64 (*.f64 (log.f64 n) (+.f64 n n)) 2)
(*.f64 n (log.f64 n))
(/.f64 (.f64 n (.f64 (log.f64 n) 4)) 4)
(*.f64 n (log.f64 n))
(/.f64 (.f64 (.f64 n (log.f64 n)) 8) 8)
(*.f64 n (log.f64 n))
(/.f64 (.f64 2 (.f64 (*.f64 n (log.f64 n)) 8)) 16)
(*.f64 n (log.f64 n))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 n (log.f64 n)) 8))) 32)
(*.f64 n (log.f64 n))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 n (log.f64 n)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 n (log.f64 n)) 8)))) 64)
(*.f64 n (log.f64 n))
(pow.f64 (*.f64 n (log.f64 n)) 1)
(*.f64 n (log.f64 n))
(log.f64 (pow.f64 n n))
(*.f64 n (log.f64 n))
(log.f64 (pow.f64 (pow.f64 (sqrt.f64 n) n) 2))
(*.f64 n (log.f64 n))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1)
(+.f64 -1 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(+.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 0)
(+.f64 -1 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(+.f64 0 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1))
(+.f64 -1 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(+.f64 -1 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 1/2) (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 1/2))
(+.f64 -1 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(.f64 1 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1))
(+.f64 -1 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 1)
(+.f64 -1 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(.f64 2 (.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 1/2))
(+.f64 -1 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(.f64 (+.f64 (.f64 (log.f64 (+.f64 n 1)) (+.f64 2 (+.f64 n n))) -2) 1/2)
(+.f64 -1 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(.f64 4 (/.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 4))
(+.f64 -1 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(.f64 (.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 4) 1/4)
(+.f64 -1 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(.f64 1/2 (+.f64 (.f64 (log.f64 (+.f64 n 1)) (+.f64 2 (+.f64 n n))) -2))
(+.f64 -1 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(.f64 (.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 1/2) 2)
(+.f64 -1 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(.f64 1/4 (.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 4))
(+.f64 -1 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(.f64 (/.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 4) 4)
(+.f64 -1 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(/.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 1)
(+.f64 -1 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(/.f64 (+.f64 (*.f64 (log.f64 (+.f64 n 1)) (+.f64 2 (+.f64 n n))) -2) 2)
(+.f64 -1 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 4) 4)
(+.f64 -1 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 8) 8)
(+.f64 -1 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 8)) 16)
(+.f64 -1 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 8))) 32)
(+.f64 -1 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 8)))) 64)
(+.f64 -1 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(pow.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 1)
(+.f64 -1 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))

localize22.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(*.f64 n (log.f64 n))
	0.2b	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
✓	4.8b	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))

Compiler

Compiled 52 to 31 computations (40.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

Time

Variable

Point

Expression

0.0ms

-inf

(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))

0.0ms

(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))

0.0ms

inf

(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))

rewrite67.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1136×	`exponential.json-simplify-31`
964×	`rational.json-simplify-35`
936×	`rational.json-1`
936×	`rational.json-2`
936×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	80	39
2	173	39
3	361	39
4	697	39
5	1587	39
6	3603	39

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

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

Outputs

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

simplify169.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1726×	`rational.json-simplify-35`
1016×	`rational.json-simplify-2`
962×	`rational.json-simplify-1`
800×	`rational.json-simplify-48`
766×	`rational.json-simplify-52`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	155	2422
1	342	2406
2	713	2406
3	1830	2374
4	3633	2374
5	4784	2374
6	5788	2374
7	7055	2374
8	7739	2374

Stop Event

1×	node limit

Counts

56 → 96

Calls

Call 1

Inputs
(*.f64 n (-.f64 1 (log.f64 n)))
(+.f64 (.f64 n (-.f64 1 (log.f64 n))) (.f64 1/2 (pow.f64 n 2)))
(+.f64 (.f64 n (-.f64 1 (log.f64 n))) (+.f64 (.f64 -1/6 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 2))))
(+.f64 (.f64 n (-.f64 1 (log.f64 n))) (+.f64 (.f64 -1/6 (pow.f64 n 3)) (+.f64 (.f64 1/12 (pow.f64 n 4)) (.f64 1/2 (pow.f64 n 2)))))
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 (.f64 1/2 (/.f64 1 n)) (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 n)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n)))))) (.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(+.f64 (.f64 1/2 (/.f64 1 n)) (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 n))))))
(-.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (.f64 1/2 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (.f64 1/2 (/.f64 1 n)))))) (.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 1 (+.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (log.f64 (pow.f64 n n))) -1))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (neg.f64 (log.f64 (pow.f64 n n))))
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (log.f64 (pow.f64 n n))) 0)
(+.f64 0 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (log.f64 (pow.f64 n n))))
(+.f64 -1 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 1 (log.f64 (pow.f64 n n)))))
(+.f64 (neg.f64 (log.f64 (pow.f64 n n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(+.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 1 (log.f64 (pow.f64 n n)))) -1)
(+.f64 (/.f64 (-.f64 (log.f64 (pow.f64 n n)) (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -2) (/.f64 (-.f64 (log.f64 (pow.f64 n n)) (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -2))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 n 1)) (+.f64 n 1))) (-.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 n 1)) (+.f64 n 1))) (log.f64 (pow.f64 n n))))
(+.f64 (-.f64 1 (log.f64 (pow.f64 n n))) (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1))
(+.f64 -2 (+.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (log.f64 (pow.f64 n n))) 2))
(+.f64 (+.f64 1 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) (-.f64 (neg.f64 (log.f64 (pow.f64 n n))) 1))
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (log.f64 (pow.f64 n n))) 2) -2)
(+.f64 (-.f64 -1 (/.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (log.f64 (pow.f64 n n))) -2)) (-.f64 1 (/.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (log.f64 (pow.f64 n n))) -2)))
(.f64 1 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (log.f64 (pow.f64 n n))))
(.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (log.f64 (pow.f64 n n))) 1)
(.f64 2 (/.f64 (-.f64 (log.f64 (pow.f64 n n)) (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -2))
(.f64 -1 (-.f64 (log.f64 (pow.f64 n n)) (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))))
(.f64 (.f64 (-.f64 (log.f64 (pow.f64 n n)) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -2) 1/2)
(.f64 4 (/.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (log.f64 (pow.f64 n n))) 4))
(.f64 4 (-.f64 (/.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 4) (/.f64 (log.f64 (pow.f64 n n)) 4)))
(.f64 (-.f64 (log.f64 (pow.f64 n n)) (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -1)
(.f64 (.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (log.f64 (pow.f64 n n))) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (log.f64 (pow.f64 n n)) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -2))
(.f64 1/4 (.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (log.f64 (pow.f64 n n))) 4))
(.f64 1/4 (-.f64 (.f64 (log.f64 (+.f64 n 1)) (.f64 (+.f64 n 1) 4)) (.f64 (log.f64 (pow.f64 n n)) 4)))
(.f64 (/.f64 (-.f64 (log.f64 (pow.f64 n n)) (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -2) 2)
(.f64 (/.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (log.f64 (pow.f64 n n))) -2) -2)
(.f64 (/.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (log.f64 (pow.f64 n n))) 4) 4)
(/.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (log.f64 (pow.f64 n n))) 1)
(/.f64 (.f64 (-.f64 (log.f64 (pow.f64 n n)) (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -2) 2)
(/.f64 (-.f64 (log.f64 (pow.f64 n n)) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -1)
(/.f64 (.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (log.f64 (pow.f64 n n))) 4) 4)
(/.f64 (.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (log.f64 (pow.f64 n n))) 8) 8)
(/.f64 (.f64 2 (-.f64 (log.f64 (pow.f64 n n)) (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (log.f64 (pow.f64 n n))) 8)) 16)
(/.f64 (.f64 (-.f64 (log.f64 (pow.f64 n n)) (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (pow.f64 n n)) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (log.f64 (pow.f64 n n))) 8))) 32)
(/.f64 (neg.f64 (.f64 (-.f64 (log.f64 (pow.f64 n n)) (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (log.f64 (pow.f64 n n))) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (log.f64 (pow.f64 n n))) 8)))) 64)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (log.f64 (pow.f64 n n)) (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4)) (neg.f64 (.f64 (-.f64 (log.f64 (pow.f64 n n)) (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4))) 8)
(pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (log.f64 (pow.f64 n n))) 1)
(neg.f64 (-.f64 (log.f64 (pow.f64 n n)) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))))

Outputs
(*.f64 n (-.f64 1 (log.f64 n)))
(+.f64 (.f64 n (-.f64 1 (log.f64 n))) (.f64 1/2 (pow.f64 n 2)))
(+.f64 (.f64 n (-.f64 1 (log.f64 n))) (+.f64 (.f64 -1/6 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 2))))
(+.f64 (.f64 n (-.f64 1 (log.f64 n))) (+.f64 (.f64 1/2 (pow.f64 n 2)) (*.f64 -1/6 (pow.f64 n 3))))
(+.f64 (.f64 n (-.f64 1 (log.f64 n))) (+.f64 (.f64 -1/6 (pow.f64 n 3)) (+.f64 (.f64 1/12 (pow.f64 n 4)) (.f64 1/2 (pow.f64 n 2)))))
(+.f64 (.f64 n (-.f64 1 (log.f64 n))) (+.f64 (.f64 1/12 (pow.f64 n 4)) (+.f64 (.f64 1/2 (pow.f64 n 2)) (.f64 -1/6 (pow.f64 n 3)))))
(+.f64 (.f64 n (-.f64 1 (log.f64 n))) (+.f64 (.f64 -1/6 (pow.f64 n 3)) (+.f64 (.f64 1/2 (pow.f64 n 2)) (.f64 1/12 (pow.f64 n 4)))))
(+.f64 (+.f64 (.f64 n (-.f64 1 (log.f64 n))) (.f64 1/2 (pow.f64 n 2))) (+.f64 (.f64 -1/6 (pow.f64 n 3)) (.f64 1/12 (pow.f64 n 4))))
(+.f64 (.f64 n (-.f64 1 (log.f64 n))) (+.f64 (.f64 1/2 (pow.f64 n 2)) (+.f64 (.f64 -1/6 (pow.f64 n 3)) (.f64 1/12 (pow.f64 n 4)))))
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 1 (neg.f64 (log.f64 (/.f64 1 n))))
(-.f64 1 (log.f64 (/.f64 1 n)))
(+.f64 (.f64 1/2 (/.f64 1 n)) (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 n)))))
(+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 n))) (.f64 1/2 (/.f64 1 n))))
(+.f64 1 (+.f64 (neg.f64 (log.f64 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 n))))
(+.f64 (neg.f64 (log.f64 (/.f64 1 n))) (+.f64 1 (*.f64 1/2 (/.f64 1 n))))
(+.f64 (-.f64 1 (log.f64 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 n)))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 n))) (.f64 1/2 (/.f64 1 n))) (-.f64 1 (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))))
(+.f64 1 (-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 n))) (.f64 1/2 (/.f64 1 n))) (.f64 1/6 (/.f64 1 (pow.f64 n 2)))))
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(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (log.f64 (pow.f64 n n)))
(-.f64 (log.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1))) (log.f64 (pow.f64 n n)))
(neg.f64 (-.f64 (log.f64 (pow.f64 n n)) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))))
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (log.f64 (pow.f64 n n)))
(-.f64 (log.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1))) (log.f64 (pow.f64 n n)))

eval159.0ms (3.5%)

Compiler: Compiled 8961 to 6521 computations (27.2% saved)

prune55.0ms (1.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	395	2	397
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	397	2	399

Error

Counts

399 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(neg.f64 (log.f64 (/.f64 1 n)))
	62.0b	0

Compiler

Compiled 8 to 7 computations (12.5% saved)

localize8.0ms (0.2%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Error

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(neg.f64 (log.f64 (/.f64 1 n)))
	62.0b	0

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Error

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(neg.f64 (log.f64 (/.f64 1 n)))
	62.0b	0

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Error

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(neg.f64 (log.f64 (/.f64 1 n)))
	62.0b	0

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes9.0ms (0.2%)

Accuracy

Total -63.0b remaining (-∞%)

Threshold costs -63.0b (-∞%)

Counts

4 → 1

Calls

Call 1

Inputs
0
(neg.f64 (log.f64 (/.f64 1 n)))
(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1) (.f64 n (log.f64 n)))
(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) 1)

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

Calls

3 calls:

4.0ms	n
2.0ms	(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) 1)
2.0ms	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))

Results

Error	Segments	Branch
0b	1	`n`
0b	1	`(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) 1)`
0b	1	`(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))`

Compiler

Compiled 69 to 49 computations (29% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(neg.f64 (log.f64 (/.f64 1 n)))
0

Outputs
(neg.f64 (log.f64 (/.f64 1 n)))
0

Compiler

Compiled 8 to 7 computations (12.5% saved)

soundness122.0ms (2.7%)

Algorithm

2×	egg-herbie

Rules

1676×	`rational.json-simplify-35`
1314×	`rational.json-simplify-2`
1170×	`rational.json-simplify-1`
980×	`rational.json-simplify-52`
896×	`rational.json-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	19	45
2	22	45
3	23	45
4	25	45
5	26	45
0	264	5730
1	598	5328
2	1371	5004
3	3619	4974
4	5482	4974
5	7357	4950

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 49 to 36 computations (26.5% saved)

end13.0ms (0.3%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

Details

analyze6.0ms (0.1%)

sample3.6s (78.8%)

preprocess4.0ms (0.1%)

simplify9.0ms (0.2%)

eval3.0ms (0.1%)

prune2.0ms (0%)

localize21.0ms (0.5%)

series50.0ms (1.1%)

rewrite89.0ms (1.9%)

simplify151.0ms (3.3%)

localize22.0ms (0.5%)

series1.0ms (0%)

rewrite67.0ms (1.5%)

simplify169.0ms (3.7%)

eval159.0ms (3.5%)

prune55.0ms (1.2%)

localize8.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes9.0ms (0.2%)

simplify2.0ms (0.1%)

soundness122.0ms (2.7%)

end13.0ms (0.3%)

Profiling