Details

sample83.0ms

Algorithm

intervals

Results

46.0ms	114×	body	1280	valid
16.0ms	75×	body	640	valid
5.0ms	232×	body	80	nan
3.0ms	29×	body	320	valid
2.0ms	29×	body	160	valid
0.0ms	9×	body	80	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	8
1	15	8
2	20	8
3	23	8
done	23	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
7.2b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite19.0ms

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:

10.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
5.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series151.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
117.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.9s

Counts

89 → 89

Iterations

Useful iterations: 3 (352.0ms)

Iter	Nodes	Cost
0	143	1284
1	337	1221
2	977	1154
3	4307	1123
done	5000	1123

prune174.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune11.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
18×	`log-prod`
11×	`add-sqr-sqrt`
10×	`pow1`
8×	`distribute-lft-out`
7×	`add-cube-cbrt` `log-pow`
6×	`log-div`
5×	`add-exp-log` `associate-+l+`
4×	`associate-+r+` `distribute-neg-in` `distribute-rgt-neg-in` `add-log-exp`
3×	`add-cbrt-cube`
2×	`associate-+l-` `flip3--` `flip3-+` `rem-log-exp` `sum-log` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `neg-sub0` `associate-+r-` `unsub-neg` `neg-log`

Counts

3 → 63

Calls

3 calls:

11.0ms	(+ (log (- 1.0 eps)) (- (log (+ 1.0 eps))))
2.0ms	(log (+ 1.0 eps))
3.0ms	(log (- 1.0 eps))

series337.0ms

Counts

3 → 9

Calls

3 calls:

254.0ms	(+ (log (- 1.0 eps)) (- (log (+ 1.0 eps))))
39.0ms	(log (+ 1.0 eps))
44.0ms	(log (- 1.0 eps))

simplify1.8s

Counts

72 → 72

Iterations

Useful iterations: 3 (346.0ms)

Iter	Nodes	Cost
0	147	823
1	343	760
2	986	682
3	3893	677
done	5000	677

prune125.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow 1.0 5) (pow eps 5))
0.1b	(/ -2/5 (/ (pow 1.0 5) (pow eps 5)))
0.2b	(* -2/3 (pow (/ eps 1.0) 3))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

424×	`times-frac`
234×	`add-sqr-sqrt`
231×	`unpow-prod-down`
221×	`add-cube-cbrt` `*-un-lft-identity`
74×	`sqr-pow`
60×	`associate-/r*`
46×	`add-exp-log`
32×	`associate-r`
29×	`div-exp`
15×	`cube-prod`
14×	`pow-exp`
13×	`pow-to-exp`
12×	`add-cbrt-cube`
10×	`associate-/l*`
8×	`div-inv`
6×	`unswap-sqr`
4×	`cbrt-undiv` `prod-exp`
3×	`pow1` `associate-l` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`cube-div` `cube-mult` `unpow3` `associate-r/` `associate-/r/` `-commutative` `cbrt-unprod`

Counts

3 → 376

Calls

3 calls:

9.0ms	(/ (pow 1.0 5) (pow eps 5))
14.0ms	(/ -2/5 (/ (pow 1.0 5) (pow eps 5)))
19.0ms	(* -2/3 (pow (/ eps 1.0) 3))

series261.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(/ (pow 1.0 5) (pow eps 5))
98.0ms	(/ -2/5 (/ (pow 1.0 5) (pow eps 5)))
76.0ms	(* -2/3 (pow (/ eps 1.0) 3))

simplify515.0ms

Counts

385 → 385

Iterations

Useful iterations: done (497.0ms)

Iter	Nodes	Cost
0	563	6859
1	1298	6049
done	5000	5961

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes15.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	21
1	20	21
done	20	21

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s	3452×	body	1280	valid
539.0ms	2507×	body	640	valid
165.0ms	8120×	body	80	nan
153.0ms	1225×	body	320	valid
47.0ms	599×	body	160	valid
8.0ms	217×	body	80	valid