Details

sample80.0ms

Algorithm

intervals

Results

39.0ms	100×	body	1280	valid
18.0ms	83×	body	640	valid
5.0ms	43×	body	320	valid
5.0ms	244×	body	80	nan
2.0ms	25×	body	160	valid
0.0ms	5×	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 (100.0%)

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: 59.2b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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))
8.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series165.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
130.0ms	(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

prune171.0ms

Filtered

109 candidates to 73 candidates (33.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	104	5	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	5	110

Merged error: 0.1b

Counts

110 → 5

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

prune8.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	0	0
Total	5	5

Merged error: 0.1b

Counts

5 → 5

localize7.0ms

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`
13×	`distribute-lft-out`
10×	`associate-/r` `associate-/l` `distribute-lft-out--` `difference-of-squares`
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` `log-pow`

Counts

2 → 102

Calls

2 calls:

10.0ms	(/ (+ 1.0 eps) (- 1.0 eps))
8.0ms	(log (/ (+ 1.0 eps) (- 1.0 eps)))

series163.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (+ 1.0 eps) (- 1.0 eps))
126.0ms	(log (/ (+ 1.0 eps) (- 1.0 eps)))

simplify124.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	355	783
1	1129	736
2	4659	719
3	5001	719

prune130.0ms

Filtered

108 candidates to 72 candidates (33.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	104	4	108
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	107	6	113

Merged error: 0.1b

Counts

113 → 6

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))
7.3b	(log (/ 1 (+ 1.0 eps)))
7.5b	(log (- 1.0 eps))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

71×	`*-un-lft-identity`
46×	`log-prod`
40×	`add-sqr-sqrt`
36×	`add-cube-cbrt` `times-frac`
24×	`log-div`
18×	`associate-+r+`
16×	`distribute-lft-out`
14×	`add-exp-log`
13×	`pow1`
12×	`associate-/r` `associate-/l`
10×	`associate-+r-`
9×	`log-rec` `log-pow`
8×	`add-log-exp`
6×	`clear-num` `associate-/r/` `add-cbrt-cube`
5×	`associate-+l+` `rem-log-exp`
4×	`expm1-log1p-u` `fma-def` `flip3-+` `div-exp` `sum-log` `flip-+` `log1p-expm1-u`
3×	`frac-2neg` `unsub-neg` `div-inv`
2×	`associate-+l-` `rec-exp` `flip3--` `pow-flip` `1-exp` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative`

Counts

4 → 169

Calls

4 calls:

13.0ms	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
5.0ms	(/ 1 (+ 1.0 eps))
6.0ms	(log (/ 1 (+ 1.0 eps)))
4.0ms	(log (- 1.0 eps))

series334.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
25.0ms	(/ 1 (+ 1.0 eps))
76.0ms	(log (/ 1 (+ 1.0 eps)))
47.0ms	(log (- 1.0 eps))

simplify49.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	515	1002
1	1664	883
2	5001	782

prune188.0ms

Filtered

181 candidates to 107 candidates (40.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	181	6	187

Merged error: 0.1b

Counts

187 → 6

regimes24.0ms

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	13	8
1	13	8

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s	3343×	body	1280	valid
539.0ms	2461×	body	640	valid
168.0ms	7941×	body	80	nan
163.0ms	1316×	body	320	valid
50.0ms	667×	body	160	valid
8.0ms	213×	body	80	valid