Details

sample138.0ms

Algorithm

intervals

Results

65.0ms	94×	body	1280	valid
28.0ms	75×	body	640	valid
11.0ms	50×	body	320	valid
10.0ms	250×	body	80	nan
4.0ms	29×	body	160	valid
0.0ms	8×	body	80	valid

simplify9.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
8.0b	(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:

56.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
11.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series256.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
191.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.2s

Counts

89 → 89

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	143	1284
1	349	1221
2	1325	1156
done	5002	1154

prune326.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2.0 (pow eps 2))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

21.0ms

(* 2.0 (pow eps 2))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(* 2.0 (pow eps 2))

simplify2.5s

Counts

30 → 30

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	51	232
1	115	209
2	431	178
3	2950	176
done	5002	173

prune100.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
8.0b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
8.0b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
8.0b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
78×	`log-prod`
60×	`times-frac`
59×	`add-sqr-sqrt`
35×	`add-cube-cbrt`
15×	`distribute-lft-out`
13×	`add-exp-log`
12×	`distribute-lft-out--` `difference-of-squares`
8×	`pow1`
6×	`rem-log-exp` `associate-/r/`
4×	`cbrt-prod` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`log-div` `flip3-+` `div-exp` `flip-+` `div-inv`
1×	`pow1/3`

Counts

4 → 123

Calls

4 calls:

1.0ms	(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
17.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
24.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
13.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series901.0ms

Counts

4 → 12

Calls

4 calls:

325.0ms	(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
201.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
173.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
202.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify588.0ms

Counts

135 → 135

Iterations

Useful iterations: done (582.0ms)

Iter	Nodes	Cost
0	160	2248
1	379	2125
2	1204	1998
done	5001	1901

prune415.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

7.8b	(log (- 1.0 eps))
8.0b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
8.0b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
8.0b	(log (+ 1.0 eps))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
61×	`log-prod`
44×	`add-sqr-sqrt`
40×	`times-frac`
26×	`add-cube-cbrt`
12×	`add-exp-log`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
8×	`pow1`
6×	`log-div` `rem-log-exp`
4×	`associate-/r/` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`div-exp` `div-inv`
1×	`flip3--` `flip--`

Counts

4 → 105

Calls

4 calls:

6.0ms	(log (- 1.0 eps))
16.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
16.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
8.0ms	(log (+ 1.0 eps))

series446.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(log (- 1.0 eps))
183.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
138.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
49.0ms	(log (+ 1.0 eps))

simplify1.9s

Counts

117 → 117

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	168	1661
1	359	1575
2	1024	1427
3	4099	1413
done	5000	1413

prune536.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

regimes140.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	20
1	17	20
done	17	20

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.4s	3381×	body	1280	valid
798.0ms	2508×	body	640	valid
343.0ms	7919×	body	80	nan
273.0ms	1231×	body	320	valid
115.0ms	678×	body	160	valid
11.0ms	202×	body	80	valid