Details

sample317.0ms

Algorithm

intervals

Results

196.0ms	105×	body	1280	valid
75.0ms	88×	body	640	valid
19.0ms	39×	body	320	valid
10.0ms	256×	pre	80	true
4.0ms	18×	body	160	valid
1.0ms	6×	body	80	valid

simplify12.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.3b

localize34.0ms

Local error

Found 3 expressions with local error:

4.8b	(log (- 1 x))
4.7b	(log (+ 1 x))
0.0b	(/ (log (- 1 x)) (log (+ 1 x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`times-frac`
15×	`pow1` `add-cube-cbrt`
12×	`log-pow`
10×	`log-prod`
7×	`add-exp-log`
6×	`log-div`
5×	`add-cbrt-cube`
4×	`associate-/r` `associate-/l`
3×	`insert-posit16` `add-log-exp`
2×	`flip3--` `div-sub` `rem-log-exp` `flip--` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--`

Counts

3 → 73

Calls

3 calls:

Slowest

14.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
7.0ms	(log (- 1 x))
6.0ms	(log (+ 1 x))

series174.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

104.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
38.0ms	(log (+ 1 x))
32.0ms	(log (- 1 x))

simplify1.7s

Counts: 82 → 82

prune823.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* x x) 1/2)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-un-lft-identity` `add-cube-cbrt`
1×	`associate-l` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

Slowest

26.0ms

(* (* x x) 1/2)

series48.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

48.0ms

(* (* x x) 1/2)

simplify991.0ms

Counts: 23 → 23

prune174.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

4.8b	(log (- 1 x))
4.8b	(log (- 1 x))
4.8b	(log (- 1 x))
4.7b	(log (+ 1 x))

rewrite29.0ms

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 x))
7.0ms	(log (- 1 x))
7.0ms	(log (- 1 x))
6.0ms	(log (+ 1 x))

series124.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

48.0ms	(log (- 1 x))
28.0ms	(log (- 1 x))
25.0ms	(log (+ 1 x))
23.0ms	(log (- 1 x))

simplify691.0ms

Counts: 82 → 82

prune687.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

4.8b	(log (- 1 x))
4.8b	(log (- 1 x))
4.8b	(log (- 1 x))
4.8b	(log (- 1 x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
20×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`pow1` `log-div` `add-exp-log` `add-cube-cbrt` `difference-of-squares`
4×	`flip3--` `add-cbrt-cube` `rem-log-exp` `log-pow` `insert-posit16` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

4 → 72

Calls

4 calls:

Slowest

10.0ms	(log (- 1 x))
6.0ms	(log (- 1 x))
6.0ms	(log (- 1 x))
6.0ms	(log (- 1 x))

series142.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

38.0ms	(log (- 1 x))
35.0ms	(log (- 1 x))
35.0ms	(log (- 1 x))
34.0ms	(log (- 1 x))

simplify3.4s

Counts: 84 → 84

prune686.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes62.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch2.0ms

end0.0ms

sample9.5s

Algorithm

intervals

Results

5.6s	3416×	body	1280	valid
2.1s	2439×	body	640	valid
1.1s	1260×	body	320	valid
316.0ms	8000×	pre	80	true
186.0ms	673×	body	160	valid
27.0ms	212×	body	80	valid