Details

sample232.0ms

Algorithm

intervals

Results

103.0ms	98×	body	1280	valid
52.0ms	98×	body	640	valid
16.0ms	321×	body	80	nan
9.0ms	33×	body	320	valid
3.0ms	20×	body	160	valid
0.0ms	7×	body	80	valid

simplify57.0ms

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite310.0ms

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:

266.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
36.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series652.0ms

Counts

2 → 6

Calls

2 calls:

120.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
532.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify9.1s

Counts

89 → 89

Iterations

Iter	Nodes
done	5002
3	3081
2	843
1	349
0	143

prune1.8s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize66.0ms

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune109.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize59.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
5.3b	(log (+ 1.0 eps))
5.3b	(log (- 1.0 eps))

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`log-prod`
13×	`add-sqr-sqrt`
9×	`pow1`
8×	`log-div`
7×	`add-cube-cbrt`
6×	`log-pow` `distribute-lft-out--`
5×	`add-exp-log` `associate--l+`
4×	`associate--r+`
3×	`flip3--` `add-cbrt-cube` `flip--` `add-log-exp` `difference-of-squares`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 61

Calls

3 calls:

192.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
29.0ms	(log (+ 1.0 eps))
37.0ms	(log (- 1.0 eps))

series1.2s

Counts

3 → 9

Calls

3 calls:

752.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
356.0ms	(log (+ 1.0 eps))
84.0ms	(log (- 1.0 eps))

simplify7.6s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	2554
2	779
1	313
0	142

prune897.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 3 expressions with local error:

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

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

123×	`add-exp-log`
102×	`add-cbrt-cube`
59×	`prod-exp`
56×	`add-sqr-sqrt`
49×	`cbrt-unprod`
40×	`times-frac`
39×	`associate-l`
35×	`div-exp`
27×	`cbrt-undiv` `add-cube-cbrt` `*-un-lft-identity`
26×	`pow1`
19×	`unpow-prod-down`
14×	`associate-*l/` `unswap-sqr`
11×	`associate-r` `sqr-pow`
10×	`frac-times` `associate-*r/`
9×	`pow-prod-down`
7×	`pow-to-exp` `pow-exp`
5×	`pow-prod-up`
3×	`*-commutative` `add-log-exp`
2×	`div-inv`
1×	`pow2` `pow-plus` `cube-unmult` `pow-sqr`

Counts

3 → 169

Calls

3 calls:

104.0ms	(* (/ 2/5 (pow 1.0 5)) (pow eps 5))
97.0ms	(* (/ eps 1.0) (* (/ eps 1.0) (/ eps 1.0)))
1.6s	(* (* (/ eps 1.0) (* (/ eps 1.0) (/ eps 1.0))) -2/3)

series584.0ms

Counts

3 → 9

Calls

3 calls:

305.0ms	(* (/ 2/5 (pow 1.0 5)) (pow eps 5))
141.0ms	(* (/ eps 1.0) (* (/ eps 1.0) (/ eps 1.0)))
138.0ms	(* (* (/ eps 1.0) (* (/ eps 1.0) (/ eps 1.0))) -2/3)

simplify6.4s

Counts

178 → 178

Iterations

Iter	Nodes
done	5005
2	2414
1	709
0	267

prune2.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes135.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify15.0ms

Iterations

Iter	Nodes
done	21
1	21
0	17

end0.0ms

sample21.0s

Algorithm

intervals

Results

8.5s	3398×	body	1280	valid
5.9s	7921×	body	80	nan
3.6s	2447×	body	640	valid
2.0s	1256×	body	320	valid
263.0ms	693×	body	160	valid
53.0ms	206×	body	80	valid