Details

sample87.0ms

Algorithm

intervals

Results

41.0ms	97×	body	1280	valid
21.0ms	86×	body	640	valid
7.0ms	261×	body	80	nan
6.0ms	42×	body	320	valid
2.0ms	27×	body	160	valid
0.0ms	4×	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: 59.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
8.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite17.0ms

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:

7.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series181.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
143.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify137.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (25.0ms)

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

prune139.0ms

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

prune3.0ms

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

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
0.0b	(/ 1 (+ 1.0 eps))
8.1b	(log (/ 1 (+ 1.0 eps)))
8.1b	(log (- 1.0 eps))

rewrite28.0ms

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:

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

series343.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
23.0ms	(/ 1 (+ 1.0 eps))
76.0ms	(log (/ 1 (+ 1.0 eps)))
47.0ms	(log (- 1.0 eps))

simplify50.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	467	861
1	1536	768
2	5002	679

prune192.0ms

Filtered

142 candidates to 87 candidates (61.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	141	4	145

Merged error: 0.1b

Counts

145 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (- 1.0 eps)) (+ (log (/ 1 (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))))
1.5b	(log (/ 1 (+ (pow 1.0 3) (pow eps 3))))
8.1b	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
8.1b	(log (- 1.0 eps))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
46×	`log-prod`
33×	`distribute-lft-out`
27×	`times-frac`
24×	`add-sqr-sqrt`
21×	`pow1`
20×	`add-cube-cbrt`
18×	`log-pow`
12×	`unpow-prod-down` `cube-prod`
11×	`add-exp-log`
10×	`log-div`
6×	`rem-log-exp`
5×	`associate-+r-` `associate-+l+` `add-log-exp`
4×	`flip3-+` `add-cbrt-cube` `flip-+`
3×	`associate-+l-` `sum-log` `sum-cubes`
2×	`flip3--` `div-exp` `associate-/r/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `rec-exp` `associate-+r+` `pow-flip` `1-exp` `log-rec` `div-inv` `inv-pow`

Counts

4 → 112

Calls

4 calls:

11.0ms	(+ (log (- 1.0 eps)) (+ (log (/ 1 (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))))
13.0ms	(log (/ 1 (+ (pow 1.0 3) (pow eps 3))))
5.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
3.0ms	(log (- 1.0 eps))

series675.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(+ (log (- 1.0 eps)) (+ (log (/ 1 (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))))
308.0ms	(log (/ 1 (+ (pow 1.0 3) (pow eps 3))))
70.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
48.0ms	(log (- 1.0 eps))

simplify61.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	624	1373
1	2209	1214
2	5001	1183

prune291.0ms

Filtered

124 candidates to 76 candidates (61.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	124	4	128

Merged error: 0.1b

Counts

128 → 4

regimes21.0ms

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

sample2.8s

Algorithm

intervals

Results

1.5s	3417×	body	1280	valid
591.0ms	2439×	body	640	valid
225.0ms	8277×	body	80	nan
177.0ms	1246×	body	320	valid
59.0ms	679×	body	160	valid
9.0ms	219×	body	80	valid