Details

sample166.0ms

Algorithm

intervals

Results

94.0ms	113×	body	1280	valid
31.0ms	71×	body	640	valid
13.0ms	48×	body	320	valid
11.0ms	208×	body	80	nan
2.0ms	15×	body	160	valid
1.0ms	9×	body	80	valid

simplify21.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	25
3	25
2	22
1	17
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
6.2b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite438.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
25×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
7×	`add-exp-log`
6×	`associate-/l*`
4×	`associate-/r*` `add-cbrt-cube` `associate-/r/`
3×	`pow1`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-sub` `log-pow` `flip--`

Counts

2 → 94

Calls

2 calls:

414.0ms	(/ (- 1 eps) (+ 1 eps))
18.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series112.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ (- 1 eps) (+ 1 eps))
88.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify2.2s

Counts

100 → 100

Iterations

Iter	Nodes
done	5015
3	3256
2	909
1	375
0	158

prune357.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 2/5 (pow eps 5))
0.1b	(* (* -2/3 eps) (* eps eps))
0.3b	(* -2/3 eps)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
19×	`add-cbrt-cube`
17×	`pow1`
15×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-r`
10×	`cbrt-unprod`
9×	`pow-prod-down`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
4×	`unpow-prod-down` `unswap-sqr`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

3 → 68

Calls

3 calls:

14.0ms	(* 2/5 (pow eps 5))
35.0ms	(* (* -2/3 eps) (* eps eps))
7.0ms	(* -2/3 eps)

series171.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(* 2/5 (pow eps 5))
67.0ms	(* (* -2/3 eps) (* eps eps))
17.0ms	(* -2/3 eps)

simplify2.6s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
3	2235
2	637
1	227
0	103

prune283.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (/ (- 1 eps) (+ 1 (* (* eps eps) eps)))) (log (- (* eps eps) (+ eps -1))))
0.1b	(* (* eps eps) eps)
6.0b	(log (- (* eps eps) (+ eps -1)))
6.0b	(log (/ (- 1 eps) (+ 1 (* (* eps eps) eps))))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

56×	`log-prod`
49×	`*-un-lft-identity`
48×	`add-sqr-sqrt`
36×	`times-frac`
29×	`pow1`
27×	`add-cube-cbrt`
24×	`associate-+l+`
14×	`difference-of-squares`
13×	`add-exp-log`
9×	`add-cbrt-cube`
6×	`log-div` `pow-plus` `log-pow` `pow-prod-up` `distribute-lft-out--`
4×	`associate-+r+` `associate-/r/` `insert-posit16` `distribute-lft-out` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`pow2` `associate-+r-` `flip3--` `pow-sqr` `div-inv` `flip--`
1×	`+-commutative` `sum-log` `div-exp` `associate-l` `pow3` `*-commutative` `associate-+l-` `unswap-sqr`

Counts

4 → 128

Calls

4 calls:

51.0ms	(+ (log (/ (- 1 eps) (+ 1 (* (* eps eps) eps)))) (log (- (* eps eps) (+ eps -1))))
25.0ms	(* (* eps eps) eps)
33.0ms	(log (- (* eps eps) (+ eps -1)))
15.0ms	(log (/ (- 1 eps) (+ 1 (* (* eps eps) eps))))

series350.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(+ (log (/ (- 1 eps) (+ 1 (* (* eps eps) eps)))) (log (- (* eps eps) (+ eps -1))))
52.0ms	(* (* eps eps) eps)
38.0ms	(log (- (* eps eps) (+ eps -1)))
60.0ms	(log (/ (- 1 eps) (+ 1 (* (* eps eps) eps))))

simplify2.9s

Counts

140 → 140

Iterations

Iter	Nodes
done	5000
3	4576
2	1531
1	637
0	263

prune534.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

6.0b	(log (- (* eps eps) (+ eps -1)))
6.0b	(log (/ (- 1 eps) (+ 1 (* (* eps eps) eps))))
6.0b	(log (/ (- 1 eps) (+ 1 (* (* eps eps) eps))))
6.0b	(log (/ (- 1 eps) (+ 1 (* (* eps eps) eps))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

76×	`log-prod`
63×	`add-sqr-sqrt`
62×	`*-un-lft-identity`
54×	`times-frac`
35×	`add-cube-cbrt`
19×	`difference-of-squares`
14×	`add-exp-log`
9×	`distribute-lft-out--`
8×	`pow1`
7×	`rem-log-exp`
6×	`associate-/r/`
5×	`log-div`
4×	`add-cbrt-cube` `log-pow` `insert-posit16` `add-log-exp`
3×	`flip3-+` `div-exp` `flip-+` `div-inv`
1×	`flip3--` `flip--`

Counts

4 → 124

Calls

4 calls:

23.0ms	(log (- (* eps eps) (+ eps -1)))
9.0ms	(log (/ (- 1 eps) (+ 1 (* (* eps eps) eps))))
18.0ms	(log (/ (- 1 eps) (+ 1 (* (* eps eps) eps))))
16.0ms	(log (/ (- 1 eps) (+ 1 (* (* eps eps) eps))))

series224.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(log (- (* eps eps) (+ eps -1)))
60.0ms	(log (/ (- 1 eps) (+ 1 (* (* eps eps) eps))))
58.0ms	(log (/ (- 1 eps) (+ 1 (* (* eps eps) eps))))
59.0ms	(log (/ (- 1 eps) (+ 1 (* (* eps eps) eps))))

simplify2.6s

Counts

136 → 136

Iterations

Iter	Nodes
done	5001
3	3246
2	891
1	424
0	181

prune731.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	13

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.6s	3417×	body	1280	valid
952.0ms	2493×	body	640	valid
456.0ms	8071×	body	80	nan
310.0ms	1254×	body	320	valid
83.0ms	628×	body	160	valid
12.0ms	208×	body	80	valid