Details

sample32.0ms

Algorithm

intervals

Results

13.0ms	82×	body	1280	valid
4.0ms	48×	body	640	valid
3.0ms	175×	body	80	valid
2.0ms	26×	body	320	valid
1.0ms	12×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	6
1	11	6
2	18	6
3	27	6
4	51	6
5	109	6
6	256	6
7	719	6
8	2457	6
done	5001	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
4.1b	(- (exp (* a x)) 1.0)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cube-cbrt` `prod-diff`
6×	`add-log-exp`
3×	`fma-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `flip--` `rem-exp-log` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 40

Calls

2 calls:

1.0ms	(exp (* a x))
5.0ms	(- (exp (* a x)) 1.0)

series51.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(exp (* a x))
39.0ms	(- (exp (* a x)) 1.0)

simplify1.2s

Counts

46 → 46

Iterations

Useful iterations: 3 (233.0ms)

Iter	Nodes	Cost
0	79	557
1	171	457
2	431	386
3	1574	346
done	5001	346

prune101.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 9.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp (* a x)) 1.0))
4.1b	(- (exp (* a x)) 1.0)
4.1b	(- (exp (* a x)) 1.0)
4.1b	(- (exp (* a x)) 1.0)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
26×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`fma-neg`
5×	`cbrt-prod`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 101

Calls

4 calls:

3.0ms	(cbrt (- (exp (* a x)) 1.0))
5.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)

series200.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (- (exp (* a x)) 1.0))
33.0ms	(- (exp (* a x)) 1.0)
33.0ms	(- (exp (* a x)) 1.0)
38.0ms	(- (exp (* a x)) 1.0)

simplify1.1s

Counts

113 → 113

Iterations

Useful iterations: 3 (298.0ms)

Iter	Nodes	Cost
0	105	1699
1	225	1425
2	580	1165
3	2196	1032
done	5000	1032

prune291.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 9.0b

localize13.0ms

Local error

Found 4 expressions with local error:

4.1b	(- (exp (* a x)) 1.0)
4.1b	(- (exp (* a x)) 1.0)
4.1b	(- (exp (* a x)) 1.0)
4.1b	(- (exp (* a x)) 1.0)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`prod-diff`
32×	`add-cube-cbrt`
12×	`fma-neg` `add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 112

Calls

4 calls:

5.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)

series142.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (exp (* a x)) 1.0)
37.0ms	(- (exp (* a x)) 1.0)
34.0ms	(- (exp (* a x)) 1.0)
37.0ms	(- (exp (* a x)) 1.0)

simplify1.1s

Counts

124 → 124

Iterations

Useful iterations: 3 (192.0ms)

Iter	Nodes	Cost
0	72	1888
1	160	1536
2	408	1252
3	1505	1092
done	5000	1092

prune351.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 9.0b

localize21.0ms

Local error

Found 4 expressions with local error:

4.1b	(- (exp (* a x)) 1.0)
4.1b	(- (exp (* a x)) 1.0)
4.1b	(- (exp (* a x)) 1.0)
4.1b	(- (exp (* a x)) 1.0)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`prod-diff`
32×	`add-cube-cbrt`
12×	`fma-neg` `add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 112

Calls

4 calls:

5.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)

series145.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (exp (* a x)) 1.0)
34.0ms	(- (exp (* a x)) 1.0)
34.0ms	(- (exp (* a x)) 1.0)
39.0ms	(- (exp (* a x)) 1.0)

simplify1.1s

Counts

124 → 124

Iterations

Useful iterations: 3 (200.0ms)

Iter	Nodes	Cost
0	72	1888
1	160	1536
2	408	1252
3	1505	1092
done	5000	1092

prune443.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 9.0b

regimes236.0ms

Accuracy

96.1% (0.8b remaining)

Error of 8.9b against oracle of 8.1b and baseline of 29.0b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	105
1	55	105
done	55	105

end0.0ms

sample910.0ms

Algorithm

intervals

Results

417.0ms	2638×	body	1280	valid
131.0ms	1335×	body	640	valid
108.0ms	5515×	body	80	valid
47.0ms	743×	body	320	valid
19.0ms	440×	body	160	valid