Details

sample151.0ms

Algorithm

intervals

Results

73.0ms	107×	body	1280	valid
34.0ms	87×	body	640	valid
11.0ms	262×	body	80	nan
8.0ms	36×	body	320	valid
3.0ms	21×	body	160	valid
0.0ms	5×	body	80	valid

simplify10.0ms

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.2b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

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:

45.0ms	(/ (- 1.0 eps) (+ eps 1.0))
14.0ms	(log (/ (- 1.0 eps) (+ eps 1.0)))

series217.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (- 1.0 eps) (+ eps 1.0))
172.0ms	(log (/ (- 1.0 eps) (+ eps 1.0)))

simplify713.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1494
1	356
0	148

prune374.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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

prune11.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 194

Calls

4 calls:

28.0ms	(+ (log (sqrt (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ eps 1.0))))
24.0ms	(/ (sqrt (- 1.0 eps)) (+ eps 1.0))
9.0ms	(log (/ (sqrt (- 1.0 eps)) (+ eps 1.0)))
7.0ms	(log (sqrt (- 1.0 eps)))

series1.0s

Counts

4 → 12

Calls

4 calls:

433.0ms	(+ (log (sqrt (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ eps 1.0))))
148.0ms	(/ (sqrt (- 1.0 eps)) (+ eps 1.0))
287.0ms	(log (/ (sqrt (- 1.0 eps)) (+ eps 1.0)))
144.0ms	(log (sqrt (- 1.0 eps)))

simplify1.0s

Counts

206 → 206

Iterations

Iter	Nodes
done	5001
2	2942
1	727
0	321

prune840.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ 1 2) (log (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ eps 1.0))))
0.0b	(/ (sqrt (- 1.0 eps)) (+ eps 1.0))
6.4b	(log (- 1.0 eps))
6.4b	(log (/ (sqrt (- 1.0 eps)) (+ eps 1.0)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

142×	`*-un-lft-identity`
96×	`times-frac`
92×	`add-sqr-sqrt`
91×	`log-prod`
65×	`sqrt-prod`
60×	`add-cube-cbrt`
38×	`associate-+r+`
25×	`distribute-lft-out`
16×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-+l+` `add-exp-log`
8×	`associate-/l*`
6×	`pow1` `add-cbrt-cube` `associate-/r/`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`log-div` `associate-/r*` `flip3-+` `flip-+`
3×	`rem-log-exp` `div-inv`
2×	`flip3--` `sqrt-div` `div-exp` `log-pow` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `associate-+r-` `sum-log` `frac-2neg`

Counts

4 → 185

Calls

4 calls:

26.0ms	(+ (* (/ 1 2) (log (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ eps 1.0))))
18.0ms	(/ (sqrt (- 1.0 eps)) (+ eps 1.0))
6.0ms	(log (- 1.0 eps))
13.0ms	(log (/ (sqrt (- 1.0 eps)) (+ eps 1.0)))

series785.0ms

Counts

4 → 12

Calls

4 calls:

364.0ms	(+ (* (/ 1 2) (log (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ eps 1.0))))
135.0ms	(/ (sqrt (- 1.0 eps)) (+ eps 1.0))
57.0ms	(log (- 1.0 eps))
229.0ms	(log (/ (sqrt (- 1.0 eps)) (+ eps 1.0)))

simplify1.2s

Counts

197 → 197

Iterations

Iter	Nodes
done	5001
2	3221
1	794
0	336

prune875.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes44.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.4s	3449×	body	1280	valid
758.0ms	2473×	body	640	valid
387.0ms	1236×	body	320	valid
274.0ms	8212×	body	80	nan
122.0ms	649×	body	160	valid
10.0ms	193×	body	80	valid