Details

sample46.0ms

Algorithm

intervals

Results

18.0ms	85×	body	1280	valid
5.0ms	38×	body	640	valid
5.0ms	178×	body	80	valid
2.0ms	22×	body	320	valid
1.0ms	12×	body	160	valid

simplify3.0s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.3b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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))
30.0ms	(- (exp (* a x)) 1.0)

series69.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(exp (* a x))
46.0ms	(- (exp (* a x)) 1.0)

simplify2.6s

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

prune152.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
26×	`add-cube-cbrt`
22×	`exp-sum`
14×	`log-prod`
11×	`exp-prod` `add-log-exp`
6×	`log-pow`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`sub-neg` `fma-neg` `rem-exp-log` `distribute-lft-out--` `difference-of-squares`
2×	`exp-diff` `diff-log`
1×	`log-div` `flip3--` `exp-to-pow` `rem-log-exp` `flip--`

Counts

4 → 99

Calls

4 calls:

53.0ms	(exp (- (exp (* a x)) 1.0))
8.0ms	(exp (* a x))
49.0ms	(log (exp (- (exp (* a x)) 1.0)))
15.0ms	(- (exp (* a x)) 1.0)

series150.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(exp (- (exp (* a x)) 1.0))
13.0ms	(exp (* a x))
36.0ms	(log (exp (- (exp (* a x)) 1.0)))
40.0ms	(- (exp (* a x)) 1.0)

simplify2.2s

Counts

111 → 111

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	138	1599
1	249	1241
2	527	1030
3	1614	847
done	5000	815

prune323.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.0b

localize9.0ms

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)

rewrite100.0ms

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))
29.0ms	(- (exp (* a x)) 1.0)
33.0ms	(- (exp (* a x)) 1.0)
15.0ms	(- (exp (* a x)) 1.0)

series274.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(cbrt (- (exp (* a x)) 1.0))
42.0ms	(- (exp (* a x)) 1.0)
49.0ms	(- (exp (* a x)) 1.0)
60.0ms	(- (exp (* a x)) 1.0)

simplify2.0s

Counts

113 → 113

Iterations

Useful iterations: done (2.0s)

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

prune377.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.0b

localize32.0ms

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 (* a x)) 1.0)
4.5b	(- (exp (* 2 (* a x))) (* 1.0 1.0))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `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` `distribute-lft-out--`
1×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`

Counts

4 → 93

Calls

4 calls:

12.0ms	(cbrt (+ (exp (* a x)) 1.0))
31.0ms	(- (exp (* a x)) 1.0)
20.0ms	(- (exp (* a x)) 1.0)
31.0ms	(- (exp (* 2 (* a x))) (* 1.0 1.0))

series301.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (+ (exp (* a x)) 1.0))
46.0ms	(- (exp (* a x)) 1.0)
62.0ms	(- (exp (* a x)) 1.0)
62.0ms	(- (exp (* 2 (* a x))) (* 1.0 1.0))

simplify2.2s

Counts

105 → 105

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	145	1573
1	331	1374
2	858	1154
3	3399	994
done	5000	990

prune585.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.0b

regimes510.0ms

Accuracy

95.4% (1.1b remaining)

Error of 7.5b against oracle of 6.4b and baseline of 29.7b

bsearch2.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	36	71
1	43	71
done	43	71

end0.0ms

sample1.5s

Algorithm

intervals

Results

615.0ms	2640×	body	1280	valid
199.0ms	1317×	body	640	valid
156.0ms	5440×	body	80	valid
76.0ms	795×	body	320	valid
28.0ms	423×	body	160	valid