Details

sample32.0ms

Algorithm

intervals

Results

13.0ms	85×	body	1280	valid
4.0ms	38×	body	640	valid
3.0ms	178×	body	80	valid
1.0ms	22×	body	320	valid
0.0ms	12×	body	160	valid

simplify59.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	26	3
3	48	3
4	110	3
5	318	3
6	1623	3
7	5001	3
done	5001	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.3b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 24

Calls

2 calls:

4.0ms	(exp (* a x))
14.0ms	(- (exp (* a x)) 1.0)

series52.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(exp (* a x))
39.0ms	(- (exp (* a x)) 1.0)

simplify42.0ms

Counts

30 → 30

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	115	135
1	333	127
2	1116	125
3	5001	125
done	5001	125

prune73.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 7.8b

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)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`exp-prod` `add-log-exp`
7×	`add-cube-cbrt`
6×	`log-pow`
5×	`pow1` `log-prod`
4×	`add-exp-log` `exp-sum` `add-cbrt-cube`
3×	`sub-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 → 61

Calls

4 calls:

31.0ms	(exp (- (exp (* a x)) 1.0))
4.0ms	(exp (* a x))
28.0ms	(log (exp (- (exp (* a x)) 1.0)))
16.0ms	(- (exp (* a x)) 1.0)

series126.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(exp (- (exp (* a x)) 1.0))
13.0ms	(exp (* a x))
36.0ms	(log (exp (- (exp (* a x)) 1.0)))
35.0ms	(- (exp (* a x)) 1.0)

simplify47.0ms

Counts

73 → 73

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	161	351
1	460	322
2	1436	319
3	5001	319
done	5001	319

prune159.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 7.8b

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)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
5×	`cbrt-prod` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 57

Calls

4 calls:

8.0ms	(cbrt (- (exp (* a x)) 1.0))
13.0ms	(- (exp (* a x)) 1.0)
13.0ms	(- (exp (* a x)) 1.0)
13.0ms	(- (exp (* a x)) 1.0)

series208.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (- (exp (* a x)) 1.0))
38.0ms	(- (exp (* a x)) 1.0)
34.0ms	(- (exp (* a x)) 1.0)
37.0ms	(- (exp (* a x)) 1.0)

simplify64.0ms

Counts

69 → 69

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	167	460
1	491	412
2	1911	395
3	5001	391
done	5001	391

prune207.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.8b

localize15.0ms

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)
4.3b	(- (sqrt (exp (* a x))) (sqrt 1.0))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
10×	`add-log-exp`
7×	`difference-of-squares`
6×	`sqrt-prod`
5×	`cbrt-prod` `add-cube-cbrt` `distribute-lft-out--`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 61

Calls

4 calls:

8.0ms	(cbrt (- (exp (* a x)) 1.0))
13.0ms	(- (exp (* a x)) 1.0)
16.0ms	(- (exp (* a x)) 1.0)
18.0ms	(- (sqrt (exp (* a x))) (sqrt 1.0))

series231.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(cbrt (- (exp (* a x)) 1.0))
34.0ms	(- (exp (* a x)) 1.0)
35.0ms	(- (exp (* a x)) 1.0)
63.0ms	(- (sqrt (exp (* a x))) (sqrt 1.0))

simplify84.0ms

Counts

73 → 73

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	231	540
1	731	494
2	2793	478
3	5002	478
done	5002	478

prune254.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 7.7b

regimes357.0ms

Accuracy

94.5% (1.2b remaining)

Error of 9.8b against oracle of 8.6b and baseline of 29.8b

bsearch1.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	16
1	33	16
done	33	16

end0.0ms

sample1.1s

Algorithm

intervals

Results

554.0ms	2640×	body	1280	valid
124.0ms	1317×	body	640	valid
101.0ms	5440×	body	80	valid
48.0ms	795×	body	320	valid
17.0ms	423×	body	160	valid