Details

sample177.0ms

Algorithm

intervals

Results

89.0ms	115×	body	1280	valid
40.0ms	83×	body	640	valid
19.0ms	264×	body	80	nan
10.0ms	35×	body	320	valid
4.0ms	20×	body	160	valid
0.0ms	3×	body	80	valid

simplify63.0ms

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize13.0ms

Local error

Found 2 expressions with local error:

5.7b	(log (/ (- 1 eps) (+ 1 eps)))
0.0b	(/ (- 1 eps) (+ 1 eps))

rewrite23.0ms

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:

Slowest

15.0ms	(/ (- 1 eps) (+ 1 eps))
6.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series137.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

113.0ms	(log (/ (- 1 eps) (+ 1 eps)))
24.0ms	(/ (- 1 eps) (+ 1 eps))

simplify952.0ms

Counts: 100 → 100

prune794.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 3 expressions with local error:

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

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
22×	`add-exp-log`
19×	`add-cbrt-cube`
14×	`add-sqr-sqrt`
13×	`associate-r`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`pow-prod-down`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow-plus` `pow-prod-up`
5×	`associate-l`
4×	`unpow-prod-down` `unswap-sqr`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`pow2` `pow-sqr` `sqr-pow`
1×	`pow-to-exp` `pow3` `pow-exp`

Counts

3 → 77

Calls

3 calls:

Slowest

85.0ms	(* (* (* eps eps) eps) -2/3)
34.0ms	(* (* eps eps) eps)
16.0ms	(* -2/5 (pow eps 5))

series181.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

78.0ms	(* (* (* eps eps) eps) -2/3)
59.0ms	(* -2/5 (pow eps 5))
44.0ms	(* (* eps eps) eps)

simplify906.0ms

Counts: 86 → 86

prune696.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

5.7b	(log (- 1 eps))
5.7b	(log (/ 1 (+ 1 eps)))
0.0b	(/ 1 (+ 1 eps))
0.0b	(+ (log (- 1 eps)) (log (/ 1 (+ 1 eps))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
48×	`log-prod`
37×	`add-sqr-sqrt`
36×	`times-frac`
31×	`add-cube-cbrt`
18×	`associate-+r+`
14×	`add-exp-log` `distribute-lft-out`
12×	`pow1`
8×	`log-pow`
6×	`log-div` `associate-+l+` `add-cbrt-cube` `associate-/r/`
5×	`rem-log-exp`
4×	`associate-/r*` `flip3-+` `div-exp` `flip-+` `insert-posit16` `add-log-exp` `difference-of-squares`
3×	`log-rec` `div-inv` `associate-/l*`
2×	`rec-exp` `flip3--` `1-exp` `associate-+l-` `pow-flip` `flip--` `distribute-lft-out--` `inv-pow`
1×	`cbrt-undiv` `+-commutative` `clear-num` `associate-+r-` `sum-log` `frac-2neg` `unsub-neg`

Counts

4 → 136

Calls

4 calls:

Slowest

20.0ms	(+ (log (- 1 eps)) (log (/ 1 (+ 1 eps))))
20.0ms	(/ 1 (+ 1 eps))
5.0ms	(log (/ 1 (+ 1 eps)))
4.0ms	(log (- 1 eps))

series287.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

184.0ms	(+ (log (- 1 eps)) (log (/ 1 (+ 1 eps))))
46.0ms	(log (/ 1 (+ 1 eps)))
29.0ms	(/ 1 (+ 1 eps))
28.0ms	(log (- 1 eps))

simplify1.1s

Counts: 148 → 148

prune618.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

5.7b	(log (- 1 eps))
5.7b	(log (- 1 eps))
5.7b	(log (- 1 eps))
5.7b	(log (+ eps 1))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

22×	`log-prod`
19×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
8×	`pow1` `log-div` `add-exp-log` `add-cube-cbrt`
6×	`difference-of-squares`
4×	`add-cbrt-cube` `rem-log-exp` `log-pow` `insert-posit16` `add-log-exp`
3×	`flip3--` `flip--` `distribute-lft-out--`
1×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 70

Calls

4 calls:

Slowest

7.0ms	(log (- 1 eps))
6.0ms	(log (+ eps 1))
4.0ms	(log (- 1 eps))
4.0ms	(log (- 1 eps))

series145.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

47.0ms	(log (- 1 eps))
39.0ms	(log (- 1 eps))
30.0ms	(log (+ eps 1))
29.0ms	(log (- 1 eps))

simplify2.3s

Counts: 82 → 82

prune497.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.5s	3347×	body	1280	valid
1.5s	2533×	body	640	valid
543.0ms	8129×	body	80	nan
376.0ms	1262×	body	320	valid
103.0ms	644×	body	160	valid
16.0ms	214×	body	80	valid