Details

sample152.0ms

Algorithm

intervals

Results

99.0ms	116×	body	1280	valid
29.0ms	75×	body	640	valid
8.0ms	42×	body	320	valid
3.0ms	256×	pre	80	true
2.0ms	17×	body	160	valid
0.0ms	6×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	5
1	11	5
2	11	5

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: 62.2b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.6b	(log (+ 1.0 x))
5.7b	(log (- 1.0 x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`log-div`
2×	`flip3--` `div-sub` `flip--`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`

Counts

3 → 9

Calls

3 calls:

3.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
2.0ms	(log (+ 1.0 x))
2.0ms	(log (- 1.0 x))

series217.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
46.0ms	(log (+ 1.0 x))
47.0ms	(log (- 1.0 x))

simplify34.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	345	243
1	1342	235
2	5001	217

prune76.0ms

Filtered

18 candidates to 18 candidates (100.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	16	3	19

Merged error: 59.8b

Counts

19 → 3

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
5.7b	(log (- 1.0 x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-div`
2×	`flip3--` `div-sub` `flip--`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

2 → 7

Calls

2 calls:

3.0ms	(/ (log (- 1.0 x)) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
2.0ms	(log (- 1.0 x))

series187.0ms

Counts

2 → 6

Calls

2 calls:

144.0ms	(/ (log (- 1.0 x)) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
44.0ms	(log (- 1.0 x))

simplify33.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	326	218
1	1187	214
2	5001	208

prune73.0ms

Filtered

13 candidates to 13 candidates (100.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	13	3	16

Merged error: 0.0b

Counts

16 → 3

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

2×	`div-sub` `associate-/l/`
1×	`flip3--` `frac-2neg` `clear-num` `flip--` `fma-udef` `div-inv` `associate--r+`

Counts

1 → 7

Calls

1 calls:

3.0ms

(/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series129.0ms

Counts

1 → 3

Calls

1 calls:

128.0ms

(/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify49.0ms

Algorithm

egg-herbie

Counts

10 → 10

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	121	143
1	419	142
2	1888	141
3	5001	139

prune37.0ms

Filtered

10 candidates to 9 candidates (90.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	10	0	10
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	10	3	13

Merged error: 0.0b

Counts

13 → 3

localize23.0ms

Local error

Found 4 expressions with local error:

1.0b	(log (- (pow 1.0 3) (pow x 3)))
5.6b	(log (+ 1.0 x))
5.6b	(log (+ 1.0 x))
5.6b	(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

8×	`log-div`
3×	`flip3-+` `flip-+`
2×	`log-prod` `sqr-pow`
1×	`difference-cubes` `flip3--` `flip--` `difference-of-squares`

Counts

4 → 10

Calls

4 calls:

4.0ms	(log (- (pow 1.0 3) (pow x 3)))
2.0ms	(log (+ 1.0 x))
2.0ms	(log (+ 1.0 x))
6.0ms	(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series410.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(log (- (pow 1.0 3) (pow x 3)))
41.0ms	(log (+ 1.0 x))
47.0ms	(log (+ 1.0 x))
58.0ms	(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify36.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	307	235
1	1163	229
2	5002	219

prune116.0ms

Filtered

22 candidates to 22 candidates (100.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	22	3	25

Merged error: 0.0b

Counts

25 → 3

regimes16.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	15
1	15	15

end0.0ms

sample4.5s

Algorithm

intervals

Results

3.0s	3467×	body	1280	valid
980.0ms	2448×	body	640	valid
238.0ms	1195×	body	320	valid
96.0ms	8000×	pre	80	true
74.0ms	662×	body	160	valid
11.0ms	228×	body	80	valid