Details

sample86.0ms

Algorithm

intervals

Results

47.0ms	119×	body	1280	valid
15.0ms	74×	body	640	valid
6.0ms	288×	body	80	nan
5.0ms	40×	body	320	valid
1.0ms	17×	body	160	valid
0.0ms	6×	body	80	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	20	4
2	23	4
3	23	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: 58.6b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite20.0ms

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:

10.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series160.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
124.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify134.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	339	657
1	1040	625
2	4497	607
3	5001	607

prune144.0ms

Filtered

89 candidates to 59 candidates (66.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	3	90

Merged error: 0.1b

Counts

90 → 3

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune5.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	0	0
Total	3	3

Merged error: 0.1b

Counts

3 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
0.0b	(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
5.3b	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
5.4b	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

272×	`*-un-lft-identity`
135×	`times-frac`
108×	`add-sqr-sqrt` `log-prod`
84×	`distribute-lft-out`
64×	`unpow-prod-down` `cube-prod`
52×	`add-cube-cbrt`
51×	`associate-+l+`
28×	`distribute-lft-out--` `difference-of-squares`
16×	`sum-cubes`
10×	`pow1` `add-exp-log`
9×	`associate-/r*`
6×	`log-div` `flip3-+` `associate-/r/` `log-pow` `add-cbrt-cube` `flip-+`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`associate-+r+` `rem-log-exp` `div-inv`
2×	`associate-+r-` `div-exp` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `flip3--` `frac-2neg` `div-sub` `clear-num` `sum-log` `flip--`

Counts

4 → 224

Calls

4 calls:

15.0ms	(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
25.0ms	(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
15.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
5.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

series404.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
212.0ms	(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
69.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
72.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

simplify79.0ms

Algorithm

egg-herbie

Counts

236 → 236

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	700	2687
1	2367	2598
2	5001	2567

prune448.0ms

Filtered

236 candidates to 129 candidates (54.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	235	1	236
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	236	3	239

Merged error: 0.1b

Counts

239 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

5.3b	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
5.4b	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
5.4b	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
5.4b	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

90×	`*-un-lft-identity`
60×	`log-prod`
45×	`times-frac`
40×	`add-sqr-sqrt`
25×	`distribute-lft-out`
22×	`add-cube-cbrt`
20×	`unpow-prod-down` `cube-prod`
10×	`add-exp-log`
9×	`distribute-lft-out--` `difference-of-squares`
8×	`pow1`
7×	`log-div`
5×	`rem-log-exp` `sum-cubes`
4×	`flip3-+` `log-pow` `add-cbrt-cube` `flip-+` `add-log-exp`
2×	`associate-/r/`
1×	`div-exp` `div-inv`

Counts

4 → 104

Calls

4 calls:

15.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
5.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
5.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
5.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

series277.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
70.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
69.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
65.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

simplify51.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	439	1311
1	1308	1211
2	5001	1165

prune412.0ms

Filtered

116 candidates to 79 candidates (68.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	116	3	119

Merged error: 0.1b

Counts

119 → 3

regimes19.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.3s	3326×	body	1280	valid
540.0ms	2506×	body	640	valid
163.0ms	1293×	body	320	valid
161.0ms	7915×	body	80	nan
49.0ms	660×	body	160	valid
7.0ms	215×	body	80	valid