Details

sample82.0ms

Algorithm

intervals

Results

44.0ms	106×	body	1280	valid
17.0ms	80×	body	640	valid
5.0ms	244×	body	80	nan
4.0ms	35×	body	320	valid
2.0ms	28×	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: 58.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
7.4b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
45×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
25×	`add-cube-cbrt`
14×	`log-div`
12×	`distribute-lft-out` `associate-/l*`
11×	`distribute-lft-out--`
10×	`difference-of-squares`
8×	`associate-/r*`
7×	`add-exp-log`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l/`
3×	`pow1` `log-rec` `clear-num`
2×	`expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`cbrt-undiv` `div-sub` `log-pow`

Counts

2 → 103

Calls

2 calls:

9.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
9.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series167.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
128.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify142.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	376	780
1	1151	736
2	4913	724
3	5001	724

prune181.0ms

Filtered

109 candidates to 73 candidates (67.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	103	6	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	6	110

Merged error: 0.1b

Counts

110 → 6

localize9.0ms

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

prune12.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	0	0
Total	6	6

Merged error: 0.1b

Counts

6 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 eps))
0.0b	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
7.4b	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
7.5b	(log (sqrt (- 1.0 eps)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

107×	`*-un-lft-identity`
71×	`add-sqr-sqrt`
64×	`times-frac`
60×	`sqrt-prod`
46×	`add-cube-cbrt` `log-prod`
19×	`log-div`
18×	`distribute-lft-out`
17×	`associate-/l*`
12×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log`
8×	`pow1` `sqrt-div` `associate-/r*`
6×	`add-cbrt-cube`
4×	`expm1-log1p-u` `flip3--` `associate-/r/` `log-pow` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
3×	`rem-log-exp` `clear-num`
2×	`frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `div-exp` `log-rec` `flip-+` `div-inv`
1×	`cbrt-undiv` `rem-sqrt-square`

Counts

4 → 173

Calls

4 calls:

4.0ms	(sqrt (- 1.0 eps))
9.0ms	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
11.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
4.0ms	(log (sqrt (- 1.0 eps)))

series432.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sqrt (- 1.0 eps))
99.0ms	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
214.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
85.0ms	(log (sqrt (- 1.0 eps)))

simplify64.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	592	1586
1	1922	1505
2	5001	1455

prune300.0ms

Filtered

185 candidates to 118 candidates (63.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	182	3	185
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	184	7	191

Merged error: 0.1b

Counts

191 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (sqrt (- 1.0 eps))) (log (+ 1.0 eps)))
7.5b	(log (+ 1.0 eps))
7.5b	(log (sqrt (- 1.0 eps)))
7.5b	(log (sqrt (- 1.0 eps)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
32×	`log-prod` `log-pow`
31×	`add-sqr-sqrt`
29×	`pow1`
24×	`prod-diff`
23×	`add-cube-cbrt`
15×	`sqrt-prod`
10×	`log-div`
8×	`associate--l+` `add-log-exp`
7×	`add-exp-log` `sqrt-pow1` `pow1/2` `distribute-lft-out--`
6×	`fma-neg` `sqrt-div`
4×	`expm1-log1p-u` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `associate--r+` `difference-of-squares`
3×	`rem-log-exp`
2×	`associate--l-` `flip3-+` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg`

Counts

4 → 131

Calls

4 calls:

12.0ms	(- (log (sqrt (- 1.0 eps))) (log (+ 1.0 eps)))
3.0ms	(log (+ 1.0 eps))
4.0ms	(log (sqrt (- 1.0 eps)))
4.0ms	(log (sqrt (- 1.0 eps)))

series359.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(- (log (sqrt (- 1.0 eps))) (log (+ 1.0 eps)))
44.0ms	(log (+ 1.0 eps))
83.0ms	(log (sqrt (- 1.0 eps)))
84.0ms	(log (sqrt (- 1.0 eps)))

simplify47.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	414	1337
1	1208	1049
2	5001	1019

prune213.0ms

Filtered

143 candidates to 89 candidates (62.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	139	4	143
Fresh	2	2	4
Picked	1	0	1
Done	1	1	2
Total	143	7	150

Merged error: 0.1b

Counts

150 → 7

regimes36.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	8
1	13	8

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.3s	3331×	body	1280	valid
538.0ms	2533×	body	640	valid
161.0ms	7849×	body	80	nan
155.0ms	1259×	body	320	valid
49.0ms	672×	body	160	valid
7.0ms	205×	body	80	valid