Details

sample84.0ms

Algorithm

intervals

Results

44.0ms	107×	body	1280	valid
18.0ms	87×	body	640	valid
5.0ms	272×	body	80	nan
4.0ms	33×	body	320	valid
2.0ms	25×	body	160	valid
0.0ms	4×	body	80	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.6b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite21.0ms

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×	`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` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 87

Calls

2 calls:

12.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series164.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
123.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	147	1318
1	351	1247
2	871	1184
3	2428	1155
done	5000	1154

prune180.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune2.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

6.6b	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
6.6b	(log (- 1.0 eps))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

31×	`log-prod`
23×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`times-frac`
13×	`add-cube-cbrt`
10×	`difference-of-squares`
6×	`add-exp-log`
5×	`distribute-lft-out--`
4×	`pow1`
3×	`log-div` `rem-log-exp`
2×	`expm1-log1p-u` `flip3--` `associate-/r/` `log-pow` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`div-exp` `div-inv`

Counts

2 → 57

Calls

2 calls:

6.0ms	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
6.0ms	(log (- 1.0 eps))

series129.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
44.0ms	(log (- 1.0 eps))

simplify1.3s

Counts

63 → 63

Iterations

Useful iterations: 3 (658.0ms)

Iter	Nodes	Cost
0	175	1114
1	402	1050
2	1040	970
3	3188	813
done	5001	813

prune143.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (- 1.0 eps)) 3)
0.1b	(cbrt (pow (log (- 1.0 eps)) 3))
6.6b	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
6.6b	(log (- 1.0 eps))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt` `log-prod` `*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`times-frac`
14×	`cbrt-prod`
11×	`pow1`
10×	`difference-of-squares`
9×	`add-exp-log`
8×	`unpow-prod-down` `cube-prod`
6×	`log-pow`
5×	`add-cbrt-cube` `distribute-lft-out--`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `pow-unpow` `rem-log-exp`
2×	`cube-mult` `flip3--` `unpow3` `associate-/r/` `flip--` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `div-exp` `pow-exp` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 109

Calls

4 calls:

2.0ms	(pow (log (- 1.0 eps)) 3)
2.0ms	(cbrt (pow (log (- 1.0 eps)) 3))
6.0ms	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
3.0ms	(log (- 1.0 eps))

series291.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(pow (log (- 1.0 eps)) 3)
44.0ms	(cbrt (pow (log (- 1.0 eps)) 3))
86.0ms	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
48.0ms	(log (- 1.0 eps))

simplify712.0ms

Counts

121 → 121

Iterations

Useful iterations: done (708.0ms)

Iter	Nodes	Cost
0	280	1949
1	697	1690
2	2196	1568
done	5000	1445

prune283.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.1b

regimes12.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	13	17
done	13	17

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s	3359×	body	1280	valid
551.0ms	2527×	body	640	valid
158.0ms	8067×	body	80	nan
154.0ms	1244×	body	320	valid
49.0ms	662×	body	160	valid
7.0ms	208×	body	80	valid