Details

sample95.0ms

Algorithm

intervals

Results

49.0ms	111×	body	1280	valid
19.0ms	78×	body	640	valid
8.0ms	265×	body	80	nan
6.0ms	41×	body	320	valid
2.0ms	19×	body	160	valid
0.0ms	7×	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: 58.8b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.2b	(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))
7.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series160.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
122.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify127.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (24.0ms)

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

prune162.0ms

Filtered

89 candidates to 59 candidates (66.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	84	5	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	5	90

Merged error: 0.1b

Counts

90 → 5

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
0.0b	(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
8×	`add-sqr-sqrt`
4×	`difference-of-squares`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `diff-log` `sum-log` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `unpow-prod-down` `flip3--` `flip3-+` `flip--` `flip-+` `associate--r+` `unpow2` `sqr-pow`

Counts

2 → 32

Calls

2 calls:

21.0ms	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
25.0ms	(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

series164.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
95.0ms	(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

simplify92.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	169	300
1	586	281
2	2737	278
3	5001	278

prune84.0ms

Filtered

38 candidates to 25 candidates (65.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	38	5	43

Merged error: 0.1b

Counts

43 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

6.2b	(log (- 1.0 eps))
6.2b	(log (+ 1.0 eps))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`log-prod`
8×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `log-div`
2×	`rem-log-exp` `log-pow` `add-cbrt-cube` `add-log-exp`
1×	`flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 31

Calls

2 calls:

3.0ms	(log (- 1.0 eps))
3.0ms	(log (+ 1.0 eps))

series88.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(log (- 1.0 eps))
41.0ms	(log (+ 1.0 eps))

simplify47.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	183	199
1	461	181
2	1489	171
3	5002	168

prune78.0ms

Filtered

37 candidates to 28 candidates (75.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	36	6	42

Merged error: 0.1b

Counts

42 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

6.2b	(log (+ 1.0 eps))
6.3b	(log (sqrt (- 1.0 eps)))
6.3b	(log (sqrt (- 1.0 eps)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

20×	`log-prod`
14×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
10×	`sqrt-prod`
8×	`pow1` `add-cube-cbrt`
7×	`log-pow`
6×	`add-exp-log` `log-div`
4×	`sqrt-div`
3×	`rem-log-exp` `add-cbrt-cube` `add-log-exp`
2×	`flip3--` `sqrt-pow1` `pow1/2` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 57

Calls

3 calls:

3.0ms	(log (+ 1.0 eps))
4.0ms	(log (sqrt (- 1.0 eps)))
4.0ms	(log (sqrt (- 1.0 eps)))

series214.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(log (+ 1.0 eps))
83.0ms	(log (sqrt (- 1.0 eps)))
85.0ms	(log (sqrt (- 1.0 eps)))

simplify64.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	224	413
1	574	376
2	2165	361
3	5001	353

prune145.0ms

Filtered

66 candidates to 48 candidates (72.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	66	6	72

Merged error: 0.1b

Counts

72 → 6

regimes22.0ms

Accuracy

0% (0.6b remaining)

Error of 0.8b against oracle of 0.2b and baseline of 0.8b

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

1.5s	3354×	body	1280	valid
637.0ms	2507×	body	640	valid
235.0ms	7999×	body	80	nan
194.0ms	1273×	body	320	valid
61.0ms	630×	body	160	valid
10.0ms	236×	body	80	valid