Details

sample149.0ms

Algorithm

intervals

Results

75.0ms	112×	body	1280	valid
30.0ms	78×	body	640	valid
10.0ms	245×	body	80	nan
9.0ms	39×	body	320	valid
3.0ms	22×	body	160	valid
0.0ms	5×	body	80	valid

simplify16.0ms

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite53.0ms

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:

38.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
8.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series215.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
175.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify969.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1399
1	364
0	147

prune351.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

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

prune19.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (log (/ (- 1.0 eps) (+ eps 1.0)))) (cbrt (log (/ (- 1.0 eps) (+ eps 1.0)))))
6.3b	(log (/ (- 1.0 eps) (+ eps 1.0)))
6.3b	(log (/ (- 1.0 eps) (+ eps 1.0)))
6.3b	(log (/ (- 1.0 eps) (+ eps 1.0)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
78×	`log-prod`
74×	`add-sqr-sqrt`
60×	`times-frac`
42×	`add-cube-cbrt`
24×	`cbrt-prod`
20×	`pow1`
15×	`add-exp-log` `distribute-lft-out`
12×	`distribute-lft-out--` `difference-of-squares`
9×	`swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`pow1/3` `rem-log-exp` `associate-/r/`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`log-div` `flip3-+` `div-exp` `flip-+` `div-inv`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 164

Calls

4 calls:

24.0ms	(* (cbrt (log (/ (- 1.0 eps) (+ eps 1.0)))) (cbrt (log (/ (- 1.0 eps) (+ eps 1.0)))))
14.0ms	(log (/ (- 1.0 eps) (+ eps 1.0)))
13.0ms	(log (/ (- 1.0 eps) (+ eps 1.0)))
8.0ms	(log (/ (- 1.0 eps) (+ eps 1.0)))

series955.0ms

Counts

4 → 12

Calls

4 calls:

417.0ms	(* (cbrt (log (/ (- 1.0 eps) (+ eps 1.0)))) (cbrt (log (/ (- 1.0 eps) (+ eps 1.0)))))
194.0ms	(log (/ (- 1.0 eps) (+ eps 1.0)))
164.0ms	(log (/ (- 1.0 eps) (+ eps 1.0)))
180.0ms	(log (/ (- 1.0 eps) (+ eps 1.0)))

simplify1.1s

Counts

176 → 176

Iterations

Iter	Nodes
done	5001
2	1595
1	467
0	192

prune712.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

6.2b	(log (cbrt (- 1.0 eps)))
6.3b	(log (/ (- 1.0 eps) (+ eps 1.0)))
6.3b	(log (/ (- 1.0 eps) (+ eps 1.0)))
6.4b	(log (/ (cbrt (- 1.0 eps)) (+ eps 1.0)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

105×	`*-un-lft-identity`
98×	`log-prod`
72×	`times-frac`
69×	`add-sqr-sqrt`
43×	`add-cube-cbrt`
25×	`cbrt-prod`
18×	`distribute-lft-out`
14×	`add-exp-log`
13×	`distribute-lft-out--` `difference-of-squares`
8×	`pow1`
7×	`rem-log-exp`
6×	`associate-/r/`
5×	`log-div` `log-pow`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `div-exp` `flip-+` `div-inv`
2×	`cbrt-div`
1×	`flip3--` `pow1/3` `flip--`

Counts

4 → 151

Calls

4 calls:

16.0ms	(log (cbrt (- 1.0 eps)))
15.0ms	(log (/ (- 1.0 eps) (+ eps 1.0)))
15.0ms	(log (/ (- 1.0 eps) (+ eps 1.0)))
17.0ms	(log (/ (cbrt (- 1.0 eps)) (+ eps 1.0)))

series752.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(log (cbrt (- 1.0 eps)))
183.0ms	(log (/ (- 1.0 eps) (+ eps 1.0)))
148.0ms	(log (/ (- 1.0 eps) (+ eps 1.0)))
273.0ms	(log (/ (cbrt (- 1.0 eps)) (+ eps 1.0)))

simplify1.2s

Counts

163 → 163

Iterations

Iter	Nodes
done	5001
2	1909
1	632
0	297

prune953.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes51.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.3s	3305×	body	1280	valid
1.4s	2532×	body	640	valid
525.0ms	8043×	body	80	nan
271.0ms	1289×	body	320	valid
84.0ms	662×	body	160	valid
12.0ms	212×	body	80	valid