Details

sample142.0ms

Algorithm

intervals

Results

74.0ms	108×	body	1280	valid
30.0ms	75×	body	640	valid
11.0ms	46×	body	320	valid
9.0ms	217×	body	80	nan
3.0ms	20×	body	160	valid
0.0ms	7×	body	80	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	20	4
2	23	4
3	23	4

prune3.0ms

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: 58.3b

Counts

2 → 1

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.5b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/l*`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 83

Calls

2 calls:

12.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
12.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series163.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
129.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify134.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	339	657
1	1040	623
2	4497	605
3	5001	605

prune145.0ms

Filtered

89 candidates to 59 candidates (66.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	4	90

Merged error: 0.1b

Counts

90 → 4

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Merged error: 0.1b

Counts

4 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ 1.0 eps))
0.0b	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
5.5b	(log (/ 1 (+ 1.0 eps)))
5.5b	(log (- 1.0 eps))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
46×	`log-prod`
36×	`times-frac`
35×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
18×	`associate-+r+`
14×	`add-exp-log` `distribute-lft-out`
12×	`pow1`
8×	`log-pow`
6×	`log-div` `associate-/r/` `add-cbrt-cube`
5×	`associate-+l+` `rem-log-exp`
4×	`flip3-+` `div-exp` `associate-/r*` `flip-+` `add-log-exp`
3×	`log-rec` `div-inv` `associate-/l*`
2×	`associate-+l-` `rec-exp` `flip3--` `pow-flip` `1-exp` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `frac-2neg` `unsub-neg` `clear-num` `sum-log`

Counts

4 → 130

Calls

4 calls:

5.0ms	(/ 1 (+ 1.0 eps))
11.0ms	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
7.0ms	(log (/ 1 (+ 1.0 eps)))
3.0ms	(log (- 1.0 eps))

series310.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ 1 (+ 1.0 eps))
179.0ms	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
68.0ms	(log (/ 1 (+ 1.0 eps)))
40.0ms	(log (- 1.0 eps))

simplify44.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	467	859
1	1536	766
2	5001	676

prune200.0ms

Filtered

142 candidates to 85 candidates (59.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	137	5	142
Fresh	1	0	1
Picked	0	1	1
Done	1	1	2
Total	139	7	146

Merged error: 0.1b

Counts

146 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

5.5b	(log (/ 1 (+ 1.0 eps)))
5.5b	(log (- 1.0 eps))
5.5b	(log (- 1.0 eps))
5.5b	(log (- 1.0 eps))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

33×	`log-prod`
27×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
12×	`add-exp-log` `times-frac`
9×	`pow1`
7×	`log-div` `rem-log-exp`
6×	`log-pow`
4×	`add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
2×	`div-exp` `associate-/r/`
1×	`rec-exp` `pow-flip` `flip3-+` `1-exp` `log-rec` `flip-+` `div-inv` `inv-pow`

Counts

4 → 82

Calls

4 calls:

5.0ms	(log (/ 1 (+ 1.0 eps)))
3.0ms	(log (- 1.0 eps))
3.0ms	(log (- 1.0 eps))
3.0ms	(log (- 1.0 eps))

series194.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(log (/ 1 (+ 1.0 eps)))
43.0ms	(log (- 1.0 eps))
40.0ms	(log (- 1.0 eps))
43.0ms	(log (- 1.0 eps))

simplify85.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	276	544
1	757	500
2	2880	465
3	5001	452

prune220.0ms

Filtered

94 candidates to 66 candidates (70.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	95	6	101

Merged error: 0.1b

Counts

101 → 6

regimes25.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.6s	3468×	body	1280	valid
612.0ms	2473×	body	640	valid
228.0ms	7974×	body	80	nan
180.0ms	1224×	body	320	valid
58.0ms	626×	body	160	valid
9.0ms	209×	body	80	valid

Details

sample142.0ms

simplify9.0ms

prune3.0ms

localize15.0ms

rewrite30.0ms

series163.0ms

simplify134.0ms

prune145.0ms

localize10.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune4.0ms

localize8.0ms

rewrite30.0ms

series310.0ms

simplify44.0ms

prune200.0ms

localize12.0ms

rewrite17.0ms

series194.0ms

simplify85.0ms

prune220.0ms

regimes25.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.9s

Profiling