Details

sample118.0ms

Algorithm

intervals

Results

59.0ms	111×	body	1280	valid
24.0ms	86×	body	640	valid
9.0ms	284×	body	80	nan
6.0ms	35×	body	320	valid
2.0ms	18×	body	160	valid
0.0ms	6×	body	80	valid

simplify20.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	15	8
2	20	8
3	23	8
done	23	8

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite72.0ms

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*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 83

Calls

2 calls:

44.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
22.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series236.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
191.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.8s

Counts

89 → 89

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	143	1284
1	340	1221
2	825	1154
3	1993	1123
done	5001	1108

prune234.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune14.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

4.9b	(log (- 1.0 eps))
5.1b	(log (+ 1.0 eps))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

9×	`log-prod`
8×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `log-div`
2×	`rem-log-exp` `log-pow` `add-cbrt-cube` `add-log-exp`
1×	`flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 31

Calls

2 calls:

9.0ms	(log (- 1.0 eps))
8.0ms	(log (+ 1.0 eps))

series115.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(log (- 1.0 eps))
64.0ms	(log (+ 1.0 eps))

simplify4.6s

Counts

37 → 37

Iterations

Useful iterations: 5 (3.2s)

Iter	Nodes	Cost
0	90	369
1	184	355
2	385	315
3	775	315
4	1701	309
5	4494	298
done	5000	298

prune84.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (- (* 1.0 1.0) (* eps eps))) (log (- 1.0 eps)))
2.3b	(log (- (* 1.0 1.0) (* eps eps)))
4.9b	(log (- 1.0 eps))
4.9b	(log (- 1.0 eps))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

23×	`log-prod`
19×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
11×	`pow1`
10×	`log-div`
9×	`add-cube-cbrt`
7×	`add-exp-log` `log-pow` `distribute-lft-out--`
6×	`flip3--` `flip--` `difference-of-squares`
5×	`associate--r+`
4×	`associate--l+` `add-cbrt-cube` `add-log-exp`
3×	`rem-log-exp`
2×	`associate--l-` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

4 → 77

Calls

4 calls:

29.0ms	(- (log (- (* 1.0 1.0) (* eps eps))) (log (- 1.0 eps)))
15.0ms	(log (- (* 1.0 1.0) (* eps eps)))
5.0ms	(log (- 1.0 eps))
5.0ms	(log (- 1.0 eps))

series408.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(- (log (- (* 1.0 1.0) (* eps eps))) (log (- 1.0 eps)))
158.0ms	(log (- (* 1.0 1.0) (* eps eps)))
45.0ms	(log (- 1.0 eps))
58.0ms	(log (- 1.0 eps))

simplify1.9s

Counts

89 → 89

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	152	1276
1	348	1173
2	873	1082
3	2471	970
done	5000	927

prune256.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes29.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	14	16
done	14	16

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.2s	3434×	body	1280	valid
817.0ms	8241×	body	80	nan
781.0ms	2483×	body	640	valid
277.0ms	1214×	body	320	valid
111.0ms	662×	body	160	valid
11.0ms	207×	body	80	valid