Details

sample87.0ms

Algorithm

intervals

Results

46.0ms	109×	body	1280	valid
15.0ms	71×	body	640	valid
6.0ms	290×	body	80	nan
6.0ms	46×	body	320	valid
2.0ms	26×	body	160	valid
0.0ms	4×	body	80	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	20	4
2	23	4
3	23	4
done	23	4

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
7.6b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite32.0ms

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:

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

series150.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
118.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify129.0ms

Counts

89 → 89

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	339	657
1	1040	625
2	4497	607
3	5001	607
done	5001	607

prune167.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune6.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
0.0b	(/ 1 (+ 1.0 eps))
7.7b	(log (/ 1 (+ 1.0 eps)))
7.7b	(log (- 1.0 eps))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
46×	`log-prod`
36×	`times-frac`
35×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
18×	`associate-+r+`
14×	`add-exp-log` `distribute-lft-out`
12×	`pow1`
8×	`log-pow`
6×	`log-div` `associate-/r/` `add-cbrt-cube`
5×	`associate-+l+` `rem-log-exp`
4×	`flip3-+` `div-exp` `associate-/r*` `flip-+` `add-log-exp`
3×	`log-rec` `div-inv` `associate-/l*`
2×	`associate-+l-` `rec-exp` `flip3--` `pow-flip` `1-exp` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `frac-2neg` `unsub-neg` `clear-num` `sum-log`

Counts

4 → 130

Calls

4 calls:

20.0ms	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
11.0ms	(/ 1 (+ 1.0 eps))
6.0ms	(log (/ 1 (+ 1.0 eps)))
5.0ms	(log (- 1.0 eps))

series340.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
27.0ms	(/ 1 (+ 1.0 eps))
103.0ms	(log (/ 1 (+ 1.0 eps)))
41.0ms	(log (- 1.0 eps))

simplify40.0ms

Counts

142 → 142

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	467	861
1	1536	768
2	5002	679
done	5002	679

prune203.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (- 1.0 eps) (+ 1.0 eps)))
0.0b	(+ (* 2 (log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))) (log (cbrt (/ (- 1.0 eps) (+ 1.0 eps)))))
7.7b	(log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))
7.7b	(log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

178×	`*-un-lft-identity`
156×	`cbrt-prod`
145×	`log-prod`
120×	`times-frac`
117×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
58×	`associate-+l+`
30×	`distribute-lft-out`
29×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
24×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r/`
7×	`pow1` `flip3-+` `flip-+`
6×	`add-exp-log` `div-inv`
5×	`log-pow` `add-log-exp`
4×	`cbrt-div` `add-cbrt-cube`
3×	`log-div` `pow1/3`
2×	`distribute-rgt-out` `rem-log-exp`
1×	`+-commutative` `associate-+r-` `distribute-lft1-in` `sum-log`

Counts

4 → 217

Calls

4 calls:

8.0ms	(cbrt (/ (- 1.0 eps) (+ 1.0 eps)))
43.0ms	(+ (* 2 (log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))) (log (cbrt (/ (- 1.0 eps) (+ 1.0 eps)))))
9.0ms	(log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))
9.0ms	(log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))

series1.0s

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (/ (- 1.0 eps) (+ 1.0 eps)))
322.0ms	(+ (* 2 (log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))) (log (cbrt (/ (- 1.0 eps) (+ 1.0 eps)))))
295.0ms	(log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))
298.0ms	(log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))

simplify59.0ms

Counts

229 → 229

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	587	2598
1	1377	2515
2	5001	2472
done	5001	2472

prune552.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes14.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9
done	15	9

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	3428×	body	1280	valid
560.0ms	2550×	body	640	valid
161.0ms	7965×	body	80	nan
147.0ms	1195×	body	320	valid
45.0ms	614×	body	160	valid
7.0ms	213×	body	80	valid