Details

analyze7.0ms (0.2%)

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)

sample3.5s (84.1%)

Results

2.2s	4372×	body	1024	valid
742.0ms	2124×	body	512	valid
360.0ms	499×	body	2048	valid
191.0ms	1261×	body	256	valid

Bogosity

preprocess51.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

1036×	`rational_best-simplify-111`
650×	`rational_best-simplify-96`
638×	`rational_best-simplify-117`
626×	`rational_best-simplify-61`
604×	`rational_best-simplify-65`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	62	45
2	313	45
3	1988	45
0	1	1

Stop Event

1×	saturated
1×	node limit

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

simplify47.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1036×	`rational_best-simplify-111`
650×	`rational_best-simplify-96`
638×	`rational_best-simplify-117`
626×	`rational_best-simplify-61`
604×	`rational_best-simplify-65`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	62	45
2	313	45
3	1988	45

Stop Event

1×	node limit

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

62.0b

Counts

5 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 16 to 12 computations (25% saved)

localize20.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 n (log.f64 n))
✓	0.3b	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
✓	4.6b	(+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (.f64 n (log.f64 n))))

Compiler

Compiled 46 to 27 computations (41.3% saved)

series50.0ms (1.2%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
29.0ms	n	@	0	(*.f64 n (log.f64 n))
13.0ms	n	@	-inf	(*.f64 n (log.f64 n))
5.0ms	n	@	inf	(*.f64 n (log.f64 n))
1.0ms	n	@	-inf	(+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (.f64 n (log.f64 n))))
1.0ms	n	@	inf	(+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (.f64 n (log.f64 n))))

rewrite65.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

734×	`rational_best-simplify-113`
524×	`rational_best-simplify-111`
500×	`rational_best-simplify-127`
486×	`rational_best-simplify-124`
482×	`rational_best-simplify-126`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	79
1	45	79
2	216	79
3	1280	79

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

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

Outputs
((#(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 -1 (neg.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 (.f64 n (log.f64 n))) (.f64 (log.f64 (+.f64 n 1)) (-.f64 -1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.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 n (neg.f64 (log.f64 n))) (neg.f64 (+.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))) (.f64 n (log.f64 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) (.f64 n (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.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 (.f64 n (log.f64 n)) (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1)) -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)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 n (log.f64 n)) (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (.f64 n (log.f64 n)) (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1)) (-.f64 (.f64 n (log.f64 n)) (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1))) -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)))) (.f64 (-.f64 (.f64 n (log.f64 n)) (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1)) (-.f64 (.f64 n (log.f64 n)) (+.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1)))) (-.f64 1 (+.f64 (.f64 (+.f64 n 1) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 n 1)) (.f64 n (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 (.f64 1 (log.f64 (+.f64 n 1))) (.f64 n (log.f64 (+.f64 n 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 n (log.f64 (+.f64 n 1))) (.f64 1 (log.f64 (+.f64 n 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 n (log.f64 (+.f64 n 1))) (neg.f64 (neg.f64 (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 (log.f64 (+.f64 n 1)) (-.f64 -1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1 (log.f64 (+.f64 n 1))) (.f64 n (neg.f64 (log.f64 (+.f64 n 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 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simplify100.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

774×	`rational_best-simplify-124`
720×	`rational_best-simplify-61`
718×	`rational_best-simplify-65`
634×	`rational_best-simplify-96`
628×	`rational_best-simplify-117`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	314	4566
1	1990	3954

Stop Event

1×	node limit

Counts

114 → 155

Calls

Call 1

Inputs
-1
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(-.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)))
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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 1/12 (/.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))))))))
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n
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Outputs
-1
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eval70.0ms (1.7%)

Compiler: Compiled 4673 to 3206 computations (31.4% saved)

prune19.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	153	2	155
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	154	2	156

Error

Counts

156 → 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)

localize9.0ms (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

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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)

regimes43.0ms (1%)

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 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 n (log.f64 n))) 1)

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

Calls

3 calls:

36.0ms	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))
3.0ms	n
2.0ms	(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) 1)

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%)

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)

soundness163.0ms (3.9%)

Algorithm

2×	egg-herbie

Rules

1036×	`rational_best-simplify-111`
774×	`rational_best-simplify-124`
720×	`rational_best-simplify-61`
718×	`rational_best-simplify-65`
650×	`rational_best-simplify-96`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	62	45
2	313	45
3	1988	45
0	314	4566
1	1990	3954

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 127 to 82 computations (35.4% saved)

end14.0ms (0.3%)

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

Details

analyze7.0ms (0.2%)

sample3.5s (84.1%)

preprocess51.0ms (1.2%)

simplify47.0ms (1.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize20.0ms (0.5%)

series50.0ms (1.2%)

rewrite65.0ms (1.6%)

simplify100.0ms (2.4%)

eval70.0ms (1.7%)

prune19.0ms (0.4%)

localize9.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes43.0ms (1%)

simplify2.0ms (0%)

soundness163.0ms (3.9%)

end14.0ms (0.3%)

Profiling