Details

sample42.0ms

Algorithm

intervals

Results

13.0ms	54×	body	1280	valid
6.0ms	255×	body	80	nan
6.0ms	39×	body	640	valid
5.0ms	133×	body	80	valid
2.0ms	24×	body	320	valid
0.0ms	6×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	10	4
2	10	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

Merged error: 29.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

1.9b	(log (+ N 1.0))
2.9b	(- (log (+ N 1.0)) (log N))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`pow1` `add-sqr-sqrt` `prod-diff`
14×	`add-cube-cbrt` `log-pow`
11×	`log-prod`
4×	`log-div` `fma-neg` `associate--l+` `distribute-lft-out--`
3×	`add-exp-log` `associate--r+`
2×	`associate--l-` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--` `difference-of-squares`

Counts

2 → 65

Calls

2 calls:

3.0ms	(log (+ N 1.0))
8.0ms	(- (log (+ N 1.0)) (log N))

series140.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(log (+ N 1.0))
95.0ms	(- (log (+ N 1.0)) (log N))

simplify125.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	277	598
1	837	444
2	3748	347
3	5001	343

prune113.0ms

Filtered

71 candidates to 43 candidates (60.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	2	72

Merged error: 0.0b

Counts

72 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ N 1.0) N)
2.9b	(log (/ (+ N 1.0) N))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
24×	`times-frac`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`log-prod`
7×	`add-exp-log` `distribute-lft-out`
4×	`add-cbrt-cube` `associate-/l*`
3×	`pow1` `associate-/r*`
2×	`expm1-log1p-u` `div-exp` `rem-log-exp` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 64

Calls

2 calls:

5.0ms	(/ (+ N 1.0) N)
5.0ms	(log (/ (+ N 1.0) N))

series140.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (+ N 1.0) N)
87.0ms	(log (/ (+ N 1.0) N))

simplify103.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	243	383
1	808	358
2	3663	347
3	5001	344

prune94.0ms

Filtered

70 candidates to 50 candidates (71.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	69	3	72

Merged error: 0.0b

Counts

72 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ N 1.0) N)
0.0b	(log (log (/ (+ N 1.0) N)))
0.8b	(exp (log (log (/ (+ N 1.0) N))))
2.9b	(log (/ (+ N 1.0) N))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `times-frac`
10×	`add-exp-log`
9×	`pow1`
7×	`distribute-lft-out`
6×	`add-cbrt-cube`
5×	`log-pow`
4×	`expm1-log1p-u` `exp-prod` `exp-sum` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`rem-log-exp` `associate-/r*`
2×	`div-exp` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `flip-+` `rem-exp-log`

Counts

4 → 97

Calls

4 calls:

6.0ms	(/ (+ N 1.0) N)
5.0ms	(log (log (/ (+ N 1.0) N)))
2.0ms	(exp (log (log (/ (+ N 1.0) N))))
5.0ms	(log (/ (+ N 1.0) N))

series377.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ (+ N 1.0) N)
149.0ms	(log (log (/ (+ N 1.0) N)))
90.0ms	(exp (log (log (/ (+ N 1.0) N))))
84.0ms	(log (/ (+ N 1.0) N))

simplify42.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	380	658
1	1329	605
2	5001	584

prune197.0ms

Filtered

109 candidates to 77 candidates (70.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	109	3	112

Merged error: 0.0b

Counts

112 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(expm1 (log (log (/ (+ N 1.0) N))))
0.8b	(exp (log1p (expm1 (log (log (/ (+ N 1.0) N))))))
2.8b	(log1p (expm1 (log (log (/ (+ N 1.0) N)))))
2.9b	(log (/ (+ N 1.0) N))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
16×	`log-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
7×	`add-exp-log`
5×	`pow1` `log1p-expm1-u` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube`
3×	`exp-prod` `distribute-lft-out`
2×	`log1p-udef` `rem-log-exp` `rem-exp-log`
1×	`log-div` `expm1-log1p` `log1p-expm1` `div-exp` `log-pow` `div-inv` `expm1-udef`

Counts

4 → 65

Calls

4 calls:

4.0ms	(expm1 (log (log (/ (+ N 1.0) N))))
2.0ms	(exp (log1p (expm1 (log (log (/ (+ N 1.0) N))))))
1.0ms	(log1p (expm1 (log (log (/ (+ N 1.0) N)))))
5.0ms	(log (/ (+ N 1.0) N))

series762.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(expm1 (log (log (/ (+ N 1.0) N))))
253.0ms	(exp (log1p (expm1 (log (log (/ (+ N 1.0) N))))))
230.0ms	(log1p (expm1 (log (log (/ (+ N 1.0) N)))))
86.0ms	(log (/ (+ N 1.0) N))

simplify39.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	416	647
1	1401	577
2	5001	523

prune181.0ms

Filtered

77 candidates to 61 candidates (79.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	77	3	80

Merged error: 0.0b

Counts

80 → 3

regimes23.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 28.9b

bsearch28.0ms

Steps

Iters	Range		Point
8	573.0632436401448	2027774.326345067	7702.708028507434

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

411.0ms	1701×	body	1280	valid
189.0ms	7950×	body	80	nan
188.0ms	1241×	body	640	valid
169.0ms	4150×	body	80	valid
60.0ms	614×	body	320	valid
18.0ms	294×	body	160	valid