Details

sample184.0ms

Algorithm

intervals

Results

86.0ms	111×	body	1280	valid
43.0ms	86×	body	640	valid
16.0ms	284×	body	80	nan
10.0ms	35×	body	320	valid
3.0ms	19×	body	160	valid
0.0ms	5×	body	80	valid

simplify207.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	25	12
3	40	12
4	65	12
5	96	12
6	118	12
7	126	12
8	128	12
done	128	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite68.0ms

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-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `flip--` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 86

Calls

2 calls:

43.0ms	(/ (+ 1.0 x) (- 1.0 x))
18.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series233.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (+ 1.0 x) (- 1.0 x))
187.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify2.2s

Counts

92 → 92

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	146	1310
1	335	1243
2	851	1182
3	2166	1136
done	5000	1134

prune330.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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

prune7.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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×	`expm1-log1p-u` `rem-log-exp` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

11.0ms	(log (- 1.0 x))
8.0ms	(log (+ 1.0 x))

series147.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(log (- 1.0 x))
66.0ms	(log (+ 1.0 x))

simplify3.8s

Counts

41 → 41

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	94	389
1	202	366
2	452	331
3	929	330
4	2172	322
done	5001	316

prune145.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (log (+ 1.0 x))))
0.0b	(log1p (log (+ 1.0 x)))
4.9b	(log (- 1.0 x))
5.1b	(log (+ 1.0 x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`log-prod`
8×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt`
5×	`expm1-log1p-u`
4×	`log-div` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-log-exp` `log-pow`
1×	`log1p-udef` `expm1-log1p` `flip3--` `flip3-+` `log1p-expm1` `flip--` `flip-+` `distribute-lft-out` `distribute-lft-out--` `expm1-udef` `difference-of-squares`

Counts

4 → 57

Calls

4 calls:

0.0ms	(expm1 (log1p (log (+ 1.0 x))))
1.0ms	(log1p (log (+ 1.0 x)))
13.0ms	(log (- 1.0 x))
10.0ms	(log (+ 1.0 x))

series868.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(expm1 (log1p (log (+ 1.0 x))))
537.0ms	(log1p (log (+ 1.0 x)))
85.0ms	(log (- 1.0 x))
89.0ms	(log (+ 1.0 x))

simplify1.9s

Counts

69 → 69

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	157	770
1	358	704
2	936	629
3	2831	610
done	5001	604

prune295.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes28.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	14	20
done	14	20

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.8s	3433×	body	1280	valid
1.1s	2482×	body	640	valid
540.0ms	8241×	body	80	nan
405.0ms	209×	body	80	valid
368.0ms	1214×	body	320	valid
144.0ms	662×	body	160	valid