Details

sample145.0ms

Algorithm

intervals

Results

73.0ms	94×	body	1280	valid
37.0ms	105×	body	640	valid
10.0ms	256×	body	80	nan
6.0ms	31×	body	320	valid
3.0ms	19×	body	160	valid
0.0ms	7×	body	80	valid

simplify9.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
4.6b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite58.0ms

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:

36.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
15.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series199.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
157.0ms	(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

prune384.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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

prune18.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (/ (/ (- 1.0 eps) (+ 1.0 eps)) (- 1.0 eps))) (log (- 1.0 eps)))
0.0b	(/ (/ (- 1.0 eps) (+ 1.0 eps)) (- 1.0 eps))
4.6b	(log (/ (/ (- 1.0 eps) (+ 1.0 eps)) (- 1.0 eps)))
4.6b	(log (- 1.0 eps))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

710×	`times-frac`
702×	`*-un-lft-identity`
538×	`add-sqr-sqrt`
282×	`log-prod`
248×	`add-cube-cbrt`
145×	`distribute-lft-out--` `difference-of-squares`
136×	`associate-+l+`
84×	`distribute-lft-out`
38×	`associate-/r/`
26×	`associate-/l*`
19×	`div-inv`
17×	`flip3-+` `flip-+`
16×	`add-exp-log`
11×	`pow1`
9×	`add-cbrt-cube`
7×	`log-pow`
6×	`log-div` `div-exp`
5×	`associate-+r+` `associate-/r*` `flip3--` `flip--`
4×	`expm1-log1p-u` `fma-def` `rem-log-exp` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv`
2×	`associate-+r-` `div-sub`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `associate-+l-` `associate-/l/`

Counts

4 → 514

Calls

4 calls:

37.0ms	(+ (log (/ (/ (- 1.0 eps) (+ 1.0 eps)) (- 1.0 eps))) (log (- 1.0 eps)))
50.0ms	(/ (/ (- 1.0 eps) (+ 1.0 eps)) (- 1.0 eps))
18.0ms	(log (/ (/ (- 1.0 eps) (+ 1.0 eps)) (- 1.0 eps)))
5.0ms	(log (- 1.0 eps))

series426.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(+ (log (/ (/ (- 1.0 eps) (+ 1.0 eps)) (- 1.0 eps))) (log (- 1.0 eps)))
35.0ms	(/ (/ (- 1.0 eps) (+ 1.0 eps)) (- 1.0 eps))
90.0ms	(log (/ (/ (- 1.0 eps) (+ 1.0 eps)) (- 1.0 eps)))
57.0ms	(log (- 1.0 eps))

simplify2.5s

Counts

526 → 526

Iterations

Iter	Nodes
done	5001
2	4199
1	1440
0	566

prune1.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (/ (- 1.0 eps) (+ eps 1.0)) (- 1.0 eps)) (+ eps 1.0))
4.6b	(log (/ (/ (/ (- 1.0 eps) (+ eps 1.0)) (- 1.0 eps)) (+ eps 1.0)))
4.6b	(log (+ eps 1.0))
4.6b	(log (- 1.0 eps))

rewrite345.0ms

Algorithm

rewrite-expression-head

Rules

3158×	`times-frac`
2801×	`*-un-lft-identity`
1803×	`add-sqr-sqrt`
973×	`add-cube-cbrt`
559×	`log-prod`
499×	`distribute-lft-out`
415×	`distribute-lft-out--` `difference-of-squares`
136×	`associate-/l*`
112×	`associate-/r/`
56×	`div-inv`
48×	`flip3-+` `flip-+`
25×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`div-exp`
10×	`flip3--` `flip--`
7×	`pow1`
6×	`cbrt-undiv` `rem-log-exp`
5×	`log-div`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `add-log-exp`
3×	`div-sub` `log-pow`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 1306

Calls

4 calls:

79.0ms	(/ (/ (/ (- 1.0 eps) (+ eps 1.0)) (- 1.0 eps)) (+ eps 1.0))
73.0ms	(log (/ (/ (/ (- 1.0 eps) (+ eps 1.0)) (- 1.0 eps)) (+ eps 1.0)))
5.0ms	(log (+ eps 1.0))
7.0ms	(log (- 1.0 eps))

series266.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ (/ (/ (- 1.0 eps) (+ eps 1.0)) (- 1.0 eps)) (+ eps 1.0))
103.0ms	(log (/ (/ (/ (- 1.0 eps) (+ eps 1.0)) (- 1.0 eps)) (+ eps 1.0)))
60.0ms	(log (+ eps 1.0))
57.0ms	(log (- 1.0 eps))

simplify2.2s

Counts

1318 → 1318

Iterations

Iter	Nodes
done	5002
1	3376
0	1324

prune4.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes55.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.3s	3436×	body	1280	valid
945.0ms	2482×	body	640	valid
336.0ms	8160×	body	80	nan
282.0ms	1268×	body	320	valid
71.0ms	621×	body	160	valid
10.0ms	193×	body	80	valid