Details

sample132.0ms

Algorithm

intervals

Results

66.0ms	104×	body	1280	valid
26.0ms	81×	body	640	valid
11.0ms	277×	body	80	nan
8.0ms	44×	body	320	valid
3.0ms	25×	body	160	valid
0.0ms	2×	body	80	valid

simplify40.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.5b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
7.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite57.0ms

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

Counts

2 → 83

Calls

2 calls:

34.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
17.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series246.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
203.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify2.0s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
3	3082
2	844
1	349
0	143

prune370.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune7.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
7.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
7.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
7.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite54.0ms

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

Counts

4 → 123

Calls

4 calls:

2.0ms	(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
15.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
15.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
12.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series1.0s

Counts

4 → 12

Calls

4 calls:

472.0ms	(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
165.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
181.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
216.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify2.4s

Counts

135 → 135

Iterations

Iter	Nodes
done	5002
3	3097
2	932
1	377
0	160

prune623.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

7.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
7.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
7.4b	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))
7.4b	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

118×	`*-un-lft-identity`
110×	`log-prod`
80×	`times-frac`
78×	`add-sqr-sqrt`
52×	`sqrt-prod`
46×	`add-cube-cbrt`
20×	`distribute-lft-out`
16×	`distribute-lft-out--` `difference-of-squares`
12×	`add-exp-log`
10×	`pow1`
8×	`associate-/r/` `log-pow`
6×	`rem-log-exp`
4×	`log-div` `flip3-+` `add-cbrt-cube` `flip-+` `div-inv` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `div-exp`

Counts

4 → 156

Calls

4 calls:

8.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
8.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
9.0ms	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))
13.0ms	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))

series1.1s

Counts

4 → 12

Calls

4 calls:

176.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
186.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
345.0ms	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))
363.0ms	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))

simplify1.4s

Counts

168 → 168

Iterations

Iter	Nodes
done	5030
3	2008
2	781
1	384
0	208

prune735.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes44.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.3s	3482×	body	1280	valid
849.0ms	2441×	body	640	valid
391.0ms	8007×	body	80	nan
236.0ms	1272×	body	320	valid
69.0ms	625×	body	160	valid
9.0ms	180×	body	80	valid