Details

sample34.0ms

Algorithm

intervals

Results

14.0ms	91×	body	1280	valid
3.0ms	183×	body	80	valid
3.0ms	36×	body	640	valid
1.0ms	25×	body	320	valid
1.0ms	14×	body	160	valid

simplify60.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	27	3
3	50	3
4	115	3
5	329	3
6	1642	3
7	5001	3
done	5001	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.5b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
3.3b	(- (exp (* a x)) 1.0)

rewrite19.0ms

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:

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)

simplify80.0ms

Counts

46 → 46

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	173	292
1	562	211
2	2710	200
3	5002	164
done	5002	164

prune94.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 7.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (* a x))
3.3b	(log (exp (- (exp (* a x)) 1.0)))
3.3b	(- (exp (* a x)) 1.0)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

4.0ms	(exp (* a x))
27.0ms	(log (exp (- (exp (* a x)) 1.0)))
14.0ms	(- (exp (* a x)) 1.0)

series85.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(exp (* a x))
34.0ms	(log (exp (- (exp (* a x)) 1.0)))
38.0ms	(- (exp (* a x)) 1.0)

simplify92.0ms

Counts

80 → 80

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	236	562
1	667	396
2	2936	322
3	5002	304
done	5002	304

prune145.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 7.9b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (- (exp (* a x)) 1.0))
3.3b	(- (exp (* a x)) 1.0)
3.3b	(- (exp (* a x)) 1.0)
3.3b	(- (exp (* a x)) 1.0)

rewrite57.0ms

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:

7.0ms	(cbrt (- (exp (* a x)) 1.0))
14.0ms	(- (exp (* a x)) 1.0)
18.0ms	(- (exp (* a x)) 1.0)
14.0ms	(- (exp (* a x)) 1.0)

series202.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(cbrt (- (exp (* a x)) 1.0))
34.0ms	(- (exp (* a x)) 1.0)
38.0ms	(- (exp (* a x)) 1.0)
34.0ms	(- (exp (* a x)) 1.0)

simplify108.0ms

Counts

113 → 113

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	227	927
1	730	660
2	3541	616
3	5001	569
done	5001	569

prune276.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (+ (sqrt (exp (* a x))) (sqrt 1.0)))
3.3b	(- (exp (* a x)) 1.0)
3.3b	(- (exp (* a x)) 1.0)
3.3b	(- (sqrt (exp (* a x))) (sqrt 1.0))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt` `*-un-lft-identity`
54×	`prod-diff`
47×	`sqrt-prod`
45×	`add-cube-cbrt`
12×	`fma-neg`
10×	`add-log-exp`
6×	`difference-of-squares`
5×	`cbrt-prod`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
2×	`cbrt-div` `distribute-lft-out`
1×	`flip3-+` `pow1/3` `flip-+`

Counts

4 → 135

Calls

4 calls:

11.0ms	(cbrt (+ (sqrt (exp (* a x))) (sqrt 1.0)))
14.0ms	(- (exp (* a x)) 1.0)
14.0ms	(- (exp (* a x)) 1.0)
26.0ms	(- (sqrt (exp (* a x))) (sqrt 1.0))

series457.0ms

Counts

4 → 12

Calls

4 calls:

325.0ms	(cbrt (+ (sqrt (exp (* a x))) (sqrt 1.0)))
39.0ms	(- (exp (* a x)) 1.0)
33.0ms	(- (exp (* a x)) 1.0)
59.0ms	(- (sqrt (exp (* a x))) (sqrt 1.0))

simplify59.0ms

Counts

147 → 147

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	434	1735
1	1454	1283
2	5001	1208
done	5001	1208

prune390.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 7.8b

regimes363.0ms

Accuracy

93.4% (1.4b remaining)

Error of 9.6b against oracle of 8.2b and baseline of 29.6b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	56
1	50	56
done	50	56

end0.0ms

sample959.0ms

Algorithm

intervals

Results

403.0ms	2707×	body	1280	valid
124.0ms	1314×	body	640	valid
97.0ms	5397×	body	80	valid
46.0ms	765×	body	320	valid
19.0ms	405×	body	160	valid