Details

sample302.0ms

Algorithm

intervals

Results

179.0ms	102×	body	1280	valid
71.0ms	84×	body	640	valid
22.0ms	44×	body	320	valid
11.0ms	256×	pre	80	true
4.0ms	17×	body	160	valid
1.0ms	9×	body	80	valid

simplify18.0ms

Counts: 1 → 1

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.6b

localize10.0ms

Local error

Found 2 expressions with local error:

5.3b	(log (- 1 x))
0.0b	(/ (log (- 1 x)) (log1p x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`times-frac` `add-cube-cbrt`
7×	`pow1`
6×	`log-prod`
5×	`add-exp-log` `log-pow`
4×	`log-div` `add-cbrt-cube` `associate-/l*`
3×	`associate-/r*`
2×	`expm1-log1p-u` `log1p-def` `flip3--` `div-sub` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `div-exp` `rem-log-exp` `div-inv` `distribute-lft-out--`

Counts

2 → 58

Calls

2 calls:

Slowest

12.0ms	(/ (log (- 1 x)) (log1p x))
4.0ms	(log (- 1 x))

series129.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

94.0ms	(/ (log (- 1 x)) (log1p x))
34.0ms	(log (- 1 x))

simplify474.0ms

Counts: 84 → 64

prune276.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (log1p (- x)) (log1p x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

Slowest

4.0ms

(/ (log1p (- x)) (log1p x))

series99.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

99.0ms

(/ (log1p (- x)) (log1p x))

simplify408.0ms

Counts: 43 → 33

prune234.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (/ (log1p (- x)) (log1p x))) (cbrt (/ (log1p (- x)) (log1p x))))
0.0b	(cbrt (/ (log1p (- x)) (log1p x)))
0.0b	(cbrt (/ (log1p (- x)) (log1p x)))
0.0b	(cbrt (/ (log1p (- x)) (log1p x)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 156

Calls

4 calls:

Slowest

11.0ms	(* (cbrt (/ (log1p (- x)) (log1p x))) (cbrt (/ (log1p (- x)) (log1p x))))
1.0ms	(cbrt (/ (log1p (- x)) (log1p x)))
1.0ms	(cbrt (/ (log1p (- x)) (log1p x)))
1.0ms	(cbrt (/ (log1p (- x)) (log1p x)))

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

491.0ms	(* (cbrt (/ (log1p (- x)) (log1p x))) (cbrt (/ (log1p (- x)) (log1p x))))
234.0ms	(cbrt (/ (log1p (- x)) (log1p x)))
224.0ms	(cbrt (/ (log1p (- x)) (log1p x)))
221.0ms	(cbrt (/ (log1p (- x)) (log1p x)))

simplify6.0s

Counts: 231 → 168

prune2.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (log1p x))
0.7b	(cbrt (log1p x))
0.7b	(cbrt (log1p x))
0.7b	(cbrt (/ (log1p (- x)) (cbrt (log1p x))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-prod`
20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-div` `div-inv`

Counts

4 → 76

Calls

4 calls:

Slowest

2.0ms	(cbrt (/ (log1p (- x)) (cbrt (log1p x))))
1.0ms	(cbrt (log1p x))
1.0ms	(cbrt (log1p x))
1.0ms	(cbrt (log1p x))

series374.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

182.0ms	(cbrt (/ (log1p (- x)) (cbrt (log1p x))))
68.0ms	(cbrt (log1p x))
64.0ms	(cbrt (log1p x))
59.0ms	(cbrt (log1p x))

simplify655.0ms

Counts: 116 → 88

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample8.8s

Algorithm

intervals

Results

5.5s	3420×	body	1280	valid
2.1s	2542×	body	640	valid
568.0ms	1233×	body	320	valid
286.0ms	8000×	pre	80	true
176.0ms	602×	body	160	valid
25.0ms	203×	body	80	valid