Details

sample121.0ms

Algorithm

intervals

Results

64.0ms	120×	body	1280	valid
23.0ms	75×	body	640	valid
9.0ms	281×	body	80	nan
7.0ms	36×	body	320	valid
2.0ms	20×	body	160	valid
0.0ms	5×	body	80	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	23
3	23
2	20
1	15
0	6

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.0b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/l*`
4×	`associate-/r*` `add-cbrt-cube` `associate-/r/`
3×	`pow1`
2×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-sub` `log-pow` `flip--`

Counts

2 → 87

Calls

2 calls:

27.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
12.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series181.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
144.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify2.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5002
3	3039
2	882
1	364
0	147

prune294.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune12.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- eps 1.0) eps (* 1.0 1.0))
0.1b	(* eps (* eps eps))
6.1b	(log (fma (- eps 1.0) eps (* 1.0 1.0)))
6.1b	(log (/ (- 1.0 eps) (fma (* 1.0 1.0) 1.0 (* eps (* eps eps)))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `log-prod`
21×	`*-un-lft-identity`
20×	`pow1`
15×	`times-frac` `add-cube-cbrt`
13×	`add-exp-log`
9×	`add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rem-log-exp` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`log-pow`
1×	`pow2` `log-div` `pow-plus` `cube-unmult` `div-exp` `associate-r` `pow-sqr` `*-commutative` `fma-udef` `div-inv` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

0.0ms	(fma (- eps 1.0) eps (* 1.0 1.0))
17.0ms	(* eps (* eps eps))
1.0ms	(log (fma (- eps 1.0) eps (* 1.0 1.0)))
11.0ms	(log (/ (- 1.0 eps) (fma (* 1.0 1.0) 1.0 (* eps (* eps eps)))))

series297.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(fma (- eps 1.0) eps (* 1.0 1.0))
48.0ms	(* eps (* eps eps))
105.0ms	(log (fma (- eps 1.0) eps (* 1.0 1.0)))
109.0ms	(log (/ (- 1.0 eps) (fma (* 1.0 1.0) 1.0 (* eps (* eps eps)))))

simplify1.6s

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
3	2047
2	757
1	364
0	174

prune501.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (- 1.0 eps) (+ 1.0 eps)) (- 1.0 eps))
0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.1b	(log (/ (/ (- 1.0 eps) (+ 1.0 eps)) (- 1.0 eps)))
6.1b	(log (- 1.0 eps))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

508×	`*-un-lft-identity`
500×	`times-frac`
386×	`add-sqr-sqrt`
180×	`add-cube-cbrt`
141×	`log-prod`
103×	`distribute-lft-out--` `difference-of-squares`
61×	`distribute-lft-out`
31×	`associate-/l*`
28×	`associate-/r/`
18×	`add-exp-log`
14×	`div-inv`
12×	`flip3-+` `flip-+`
11×	`add-cbrt-cube`
9×	`associate-/r*`
7×	`div-exp`
6×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `flip3--` `rem-log-exp` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`log-div` `div-sub` `associate-/l/`
2×	`clear-num` `frac-2neg` `log-pow`

Counts

4 → 397

Calls

4 calls:

32.0ms	(/ (/ (- 1.0 eps) (+ 1.0 eps)) (- 1.0 eps))
22.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
20.0ms	(log (/ (/ (- 1.0 eps) (+ 1.0 eps)) (- 1.0 eps)))
8.0ms	(log (- 1.0 eps))

series213.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (/ (- 1.0 eps) (+ 1.0 eps)) (- 1.0 eps))
46.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
76.0ms	(log (/ (/ (- 1.0 eps) (+ 1.0 eps)) (- 1.0 eps)))
52.0ms	(log (- 1.0 eps))

simplify2.1s

Counts

409 → 409

Iterations

Iter	Nodes
done	5001
2	3567
1	1236
0	475

prune1.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes39.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.3s	3337×	body	1280	valid
937.0ms	2553×	body	640	valid
842.0ms	7989×	body	80	nan
264.0ms	1285×	body	320	valid
117.0ms	618×	body	160	valid
12.0ms	207×	body	80	valid