Details

sample150.0ms

Algorithm

intervals

Results

83.0ms	122×	body	1280	valid
25.0ms	70×	body	640	valid
11.0ms	278×	body	80	nan
8.0ms	38×	body	320	valid
2.0ms	18×	body	160	valid
0.0ms	8×	body	80	valid

simplify20.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	192
1	15	192
2	20	192
3	23	192
done	23	192

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
4.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite47.0ms

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:

34.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
8.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series242.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
185.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify2.5s

Counts

93 → 93

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	147	31533
1	364	28021
2	882	27549
3	3039	27484
done	5002	27459

prune474.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

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

prune47.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (/ (- 1.0 eps) (+ 1.0 eps)))
0.0b	(expm1 (log1p (/ (- 1.0 eps) (+ 1.0 eps))))
0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
59.1b	(log (expm1 (log1p (/ (- 1.0 eps) (+ 1.0 eps)))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
20×	`times-frac`
16×	`add-cube-cbrt`
7×	`add-exp-log`
6×	`add-cbrt-cube` `distribute-lft-out`
5×	`expm1-log1p-u` `pow1` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*` `log1p-expm1-u` `add-log-exp`
3×	`log-prod`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `rem-log-exp` `log1p-expm1` `log-pow` `flip-+` `div-inv` `flip--` `expm1-udef`

Counts

4 → 84

Calls

4 calls:

1.0ms	(log1p (/ (- 1.0 eps) (+ 1.0 eps)))
0.0ms	(expm1 (log1p (/ (- 1.0 eps) (+ 1.0 eps))))
21.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
1.0ms	(log (expm1 (log1p (/ (- 1.0 eps) (+ 1.0 eps)))))

series761.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(log1p (/ (- 1.0 eps) (+ 1.0 eps)))
220.0ms	(expm1 (log1p (/ (- 1.0 eps) (+ 1.0 eps))))
48.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
324.0ms	(log (expm1 (log1p (/ (- 1.0 eps) (+ 1.0 eps)))))

simplify2.4s

Counts

96 → 96

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	224	36208
1	581	26727
2	1744	25249
done	5003	24755

prune502.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
4.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
4.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
4.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite38.0ms

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` `expm1-log1p-u` `add-cbrt-cube` `log-pow` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `flip3-+` `div-exp` `flip-+` `div-inv`
1×	`pow1/3`

Counts

4 → 131

Calls

4 calls:

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

series901.0ms

Counts

4 → 12

Calls

4 calls:

436.0ms	(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
154.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
157.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
153.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify2.7s

Counts

143 → 143

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	164	63609
1	390	55063
2	986	54197
3	3257	53912
done	5000	53912

prune632.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes209.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	303
done	9	303

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.2s	3459×	body	1280	valid
1.4s	2463×	body	640	valid
316.0ms	8008×	body	80	nan
235.0ms	1226×	body	320	valid
72.0ms	633×	body	160	valid
11.0ms	219×	body	80	valid