Details

sample73.0ms

Algorithm

intervals

Results

26.0ms	76×	body	1280	valid
10.0ms	13×	body	160	valid
8.0ms	41×	body	640	valid
7.0ms	172×	body	80	valid
3.0ms	23×	body	320	valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	11	6
2	18	6
3	27	6
4	51	6
5	116	6
6	273	6
7	807	6
8	2954	6
done	5000	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
4.2b	(- (exp (* a x)) 1.0)

rewrite38.0ms

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:

8.0ms	(exp (* a x))
27.0ms	(- (exp (* a x)) 1.0)

series69.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(exp (* a x))
45.0ms	(- (exp (* a x)) 1.0)

simplify2.5s

Counts

46 → 46

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	79	557
1	175	457
2	393	386
3	1277	346
done	5000	316

prune175.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp (* a x)) 1.0))
4.2b	(- (exp (* a x)) 1.0)
4.2b	(- (exp (* a x)) 1.0)
4.2b	(- (exp (* a x)) 1.0)

rewrite120.0ms

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:

16.0ms	(cbrt (- (exp (* a x)) 1.0))
30.0ms	(- (exp (* a x)) 1.0)
30.0ms	(- (exp (* a x)) 1.0)
37.0ms	(- (exp (* a x)) 1.0)

series341.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (- (exp (* a x)) 1.0))
62.0ms	(- (exp (* a x)) 1.0)
63.0ms	(- (exp (* a x)) 1.0)
72.0ms	(- (exp (* a x)) 1.0)

simplify2.3s

Counts

113 → 113

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	105	1699
1	229	1425
2	538	1165
3	1785	978
done	5000	938

prune471.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.6b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp (* a x)) 1.0))
4.2b	(- (exp (* a x)) 1.0)
4.2b	(- (exp (* a x)) 1.0)
4.2b	(- (exp (* 2 (* a x))) (* 1.0 1.0))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
21×	`add-cube-cbrt` `prod-diff`
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` `difference-of-squares`
3×	`sub-neg` `diff-log` `distribute-lft-out--`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 94

Calls

4 calls:

16.0ms	(cbrt (- (exp (* a x)) 1.0))
30.0ms	(- (exp (* a x)) 1.0)
30.0ms	(- (exp (* a x)) 1.0)
24.0ms	(- (exp (* 2 (* a x))) (* 1.0 1.0))

series297.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (- (exp (* a x)) 1.0))
46.0ms	(- (exp (* a x)) 1.0)
44.0ms	(- (exp (* a x)) 1.0)
63.0ms	(- (exp (* 2 (* a x))) (* 1.0 1.0))

simplify2.5s

Counts

106 → 106

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	146	1606
1	331	1409
2	830	1176
3	3245	1057
done	5000	1049

prune575.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.5b

localize69.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (exp (* a x)) 1.0))
4.2b	(- (exp (* a x)) 1.0)
4.2b	(- (exp (* 2 (* a x))) (* 1.0 1.0))
4.2b	(- (exp (* 2 (* a x))) (* 1.0 1.0))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

14.0ms	(cbrt (+ (exp (* a x)) 1.0))
19.0ms	(- (exp (* a x)) 1.0)
32.0ms	(- (exp (* 2 (* a x))) (* 1.0 1.0))
30.0ms	(- (exp (* 2 (* a x))) (* 1.0 1.0))

series392.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(cbrt (+ (exp (* a x)) 1.0))
45.0ms	(- (exp (* a x)) 1.0)
58.0ms	(- (exp (* 2 (* a x))) (* 1.0 1.0))
61.0ms	(- (exp (* 2 (* a x))) (* 1.0 1.0))

simplify2.4s

Counts

98 → 98

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	145	1480
1	331	1358
2	858	1158
3	3399	1018
done	5000	1014

prune733.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.5b

regimes409.0ms

Accuracy

96.1% (0.9b remaining)

Error of 7.2b against oracle of 6.3b and baseline of 28.9b

bsearch3.0ms

simplify14.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	51	122
1	59	122
done	59	122

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.2s	2658×	body	1280	valid
275.0ms	1340×	body	640	valid
270.0ms	5416×	body	80	valid
90.0ms	759×	body	320	valid
31.0ms	401×	body	160	valid