Details

sample262.0ms

Algorithm

intervals

Results

173.0ms	131×	body	1280	valid
47.0ms	67×	body	640	valid
16.0ms	38×	body	320	valid
9.0ms	256×	pre	80	true
4.0ms	14×	body	160	valid
1.0ms	6×	body	80	valid

simplify22.0ms

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.8b

localize51.0ms

Local error

Found 3 expressions with local error:

4.5b	(log (+ 1 x))
4.5b	(log (- 1 x))
0.0b	(/ (log (- 1 x)) (log (+ 1 x)))

rewrite20.0ms

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

12.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
4.0ms	(log (+ 1 x))
3.0ms	(log (- 1 x))

series162.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

81.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
49.0ms	(log (- 1 x))
31.0ms	(log (+ 1 x))

simplify1.5s

Counts: 82 → 82

prune777.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`add-sqr-sqrt`
5×	`*-un-lft-identity`
3×	`associate-r` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`diff-log` `insert-posit16`
1×	`sum-log` `sub-neg` `flip3--` `associate-l` `associate--l+` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

Slowest

39.0ms	(- (+ -1 (* (* x x) -1/2)) x)
13.0ms	(* (* x x) -1/2)

series81.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

52.0ms	(* (* x x) -1/2)
29.0ms	(- (+ -1 (* (* x x) -1/2)) x)

simplify701.0ms

Counts: 43 → 43

prune299.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

4.5b	(log (+ (* x x) (+ x 1)))
4.5b	(log (+ 1 x))
1.5b	(log (- 1 (* (* x x) x)))
0.1b	(* (* x x) x)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1`
12×	`add-exp-log`
10×	`log-prod` `*-un-lft-identity`
9×	`add-sqr-sqrt` `add-cbrt-cube`
8×	`add-cube-cbrt`
6×	`log-div` `pow-plus` `pow-prod-up`
4×	`insert-posit16` `add-log-exp`
3×	`rem-log-exp` `associate-r` `pow-prod-down` `prod-exp` `log-pow` `cbrt-unprod`
2×	`pow2` `flip3-+` `pow-sqr` `flip-+`
1×	`flip3--` `associate-l` `pow3` `*-commutative` `flip--` `distribute-lft-out` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

Slowest

20.0ms	(* (* x x) x)
12.0ms	(log (+ (* x x) (+ x 1)))
6.0ms	(log (- 1 (* (* x x) x)))
6.0ms	(log (+ 1 x))

series626.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

497.0ms	(log (- 1 (* (* x x) x)))
67.0ms	(* (* x x) x)
37.0ms	(log (+ (* x x) (+ x 1)))
26.0ms	(log (+ 1 x))

simplify1.1s

Counts: 87 → 87

prune466.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

4.5b	(log (+ 1 x))
4.5b	(log (+ 1 x))
4.5b	(log (+ 1 x))
4.5b	(log (- 1 x))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

Slowest

12.0ms	(log (+ 1 x))
7.0ms	(log (- 1 x))
6.0ms	(log (+ 1 x))
6.0ms	(log (+ 1 x))

series103.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

34.0ms	(log (- 1 x))
23.0ms	(log (+ 1 x))
23.0ms	(log (+ 1 x))
22.0ms	(log (+ 1 x))

simplify796.0ms

Counts: 78 → 78

prune491.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes32.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch1.0ms

end0.0ms

sample9.1s

Algorithm

intervals

Results

5.7s	3444×	body	1280	valid
2.0s	2429×	body	640	valid
633.0ms	1260×	body	320	valid
325.0ms	8000×	pre	80	true
195.0ms	616×	body	160	valid
29.0ms	251×	body	80	valid