Details

sample110.0ms

Algorithm

intervals

Results

49.0ms	107×	body	1280	valid
22.0ms	87×	body	640	valid
12.0ms	262×	body	80	nan
5.0ms	36×	body	320	valid
2.0ms	21×	body	160	valid
0.0ms	5×	body	80	valid

simplify15.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite50.0ms

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:

20.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
9.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series281.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
229.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1399
1	364
0	147

prune491.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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

prune26.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (sqrt (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
0.0b	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
6.4b	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
6.4b	(log (sqrt (- 1.0 eps)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

146×	`*-un-lft-identity`
96×	`times-frac`
92×	`add-sqr-sqrt` `log-prod`
75×	`sqrt-prod`
62×	`add-cube-cbrt`
38×	`associate-+r+`
29×	`distribute-lft-out`
15×	`distribute-lft-out--` `difference-of-squares`
13×	`pow1`
11×	`log-pow`
10×	`add-exp-log`
8×	`associate-+l+` `associate-/l*`
6×	`log-div` `fma-def` `add-cbrt-cube` `sqrt-div` `associate-/r/`
4×	`expm1-log1p-u` `associate-/r*` `flip3-+` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `rem-log-exp` `div-inv` `flip--`
2×	`sqrt-pow1` `pow1/2` `div-exp` `associate-+l-` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `associate-+r-` `sum-log` `frac-2neg`

Counts

4 → 208

Calls

4 calls:

33.0ms	(+ (log (sqrt (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
27.0ms	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
16.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
5.0ms	(log (sqrt (- 1.0 eps)))

series1.1s

Counts

4 → 12

Calls

4 calls:

507.0ms	(+ (log (sqrt (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
127.0ms	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
300.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
125.0ms	(log (sqrt (- 1.0 eps)))

simplify2.2s

Counts

220 → 220

Iterations

Iter	Nodes
done	5001
2	2999
1	760
0	323

prune973.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (sqrt (* (+ 1.0 eps) (- 1.0 eps)))) (log (sqrt (+ 1.0 eps))))
3.3b	(log (sqrt (* (+ 1.0 eps) (- 1.0 eps))))
6.4b	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
6.5b	(log (sqrt (+ 1.0 eps)))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

73×	`*-un-lft-identity`
67×	`log-pow`
62×	`pow1`
60×	`log-prod`
51×	`add-sqr-sqrt`
42×	`prod-diff`
41×	`add-cube-cbrt`
32×	`times-frac`
30×	`sqrt-prod`
28×	`sqrt-pow1`
21×	`log-div`
20×	`sqrt-div`
18×	`pow1/2`
11×	`distribute-lft-out--`
10×	`distribute-lft-out`
9×	`flip3-+` `pow-prod-down` `add-exp-log` `flip-+`
8×	`associate--l-` `frac-times`
7×	`flip3--` `fma-neg` `flip--` `associate--r+`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `add-cbrt-cube` `rem-log-exp` `associate-l/` `associate--l+` `associate-r/` `log1p-expm1-u` `add-log-exp`
2×	`associate-/r/` `associate--r-`
1×	`sub-neg` `diff-log` `div-exp` `div-inv`

Counts

4 → 191

Calls

4 calls:

119.0ms	(- (log (sqrt (* (+ 1.0 eps) (- 1.0 eps)))) (log (sqrt (+ 1.0 eps))))
26.0ms	(log (sqrt (* (+ 1.0 eps) (- 1.0 eps))))
19.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
9.0ms	(log (sqrt (+ 1.0 eps)))

series1.0s

Counts

4 → 12

Calls

4 calls:

344.0ms	(- (log (sqrt (* (+ 1.0 eps) (- 1.0 eps)))) (log (sqrt (+ 1.0 eps))))
293.0ms	(log (sqrt (* (+ 1.0 eps) (- 1.0 eps))))
274.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
113.0ms	(log (sqrt (+ 1.0 eps)))

simplify2.1s

Counts

203 → 203

Iterations

Iter	Nodes
done	5001
2	3204
1	850
0	388

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes34.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.3s	3449×	body	1280	valid
854.0ms	2473×	body	640	valid
371.0ms	8212×	body	80	nan
261.0ms	1236×	body	320	valid
70.0ms	649×	body	160	valid
10.0ms	193×	body	80	valid