Details

sample258.0ms

Algorithm

intervals

Results

135.0ms	115×	body	1280	valid
55.0ms	83×	body	640	valid
28.0ms	264×	body	80	nan
15.0ms	35×	body	320	valid
5.0ms	19×	body	160	valid
1.0ms	4×	body	80	valid

simplify278.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize13.0ms

Local error

Found 2 expressions with local error:

5.6b	(log (/ (+ x 1) (- 1 x)))
0.0b	(/ (+ x 1) (- 1 x))

rewrite46.0ms

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-/r*`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `insert-posit16` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 93

Calls

2 calls:

Slowest

37.0ms	(/ (+ x 1) (- 1 x))
6.0ms	(log (/ (+ x 1) (- 1 x)))

series161.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

119.0ms	(log (/ (+ x 1) (- 1 x)))
42.0ms	(/ (+ x 1) (- 1 x))

simplify771.0ms

Counts: 99 → 99

prune865.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* x x) 2/3)
0.0b	(* 2/5 (pow x 5))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

Slowest

14.0ms	(* (* x x) 2/3)
8.0ms	(* 2/5 (pow x 5))

series106.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

66.0ms	(* 2/5 (pow x 5))
40.0ms	(* (* x x) 2/3)

simplify2.0s

Counts: 52 → 52

prune512.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

5.6b	(log (/ (+ x 1) (- 1 x)))
5.6b	(log (/ (+ x 1) (- 1 x)))
5.6b	(log (/ (+ x 1) (- 1 x)))
0.1b	(* (cbrt (log (/ (+ x 1) (- 1 x)))) (cbrt (log (/ (+ x 1) (- 1 x)))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

119×	`*-un-lft-identity`
90×	`log-prod`
89×	`add-sqr-sqrt`
72×	`times-frac`
45×	`add-cube-cbrt`
24×	`cbrt-prod` `difference-of-squares`
20×	`pow1`
18×	`distribute-lft-out`
15×	`add-exp-log`
12×	`distribute-lft-out--`
9×	`swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`pow1/3` `rem-log-exp` `associate-/r/`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`log-div` `flip3--` `div-exp` `div-inv` `flip--`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 172

Calls

4 calls:

Slowest

21.0ms	(* (cbrt (log (/ (+ x 1) (- 1 x)))) (cbrt (log (/ (+ x 1) (- 1 x)))))
10.0ms	(log (/ (+ x 1) (- 1 x)))
10.0ms	(log (/ (+ x 1) (- 1 x)))
6.0ms	(log (/ (+ x 1) (- 1 x)))

series667.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

335.0ms	(* (cbrt (log (/ (+ x 1) (- 1 x)))) (cbrt (log (/ (+ x 1) (- 1 x)))))
119.0ms	(log (/ (+ x 1) (- 1 x)))
117.0ms	(log (/ (+ x 1) (- 1 x)))
95.0ms	(log (/ (+ x 1) (- 1 x)))

simplify1.4s

Counts: 184 → 184

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

5.7b	(log (- 1 x))
5.7b	(log (+ x 1))
5.6b	(log (/ (+ x 1) (- 1 x)))
5.6b	(log (/ (+ x 1) (- 1 x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

81×	`*-un-lft-identity`
70×	`log-prod`
55×	`add-sqr-sqrt`
48×	`times-frac`
28×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
12×	`add-exp-log`
9×	`distribute-lft-out--`
8×	`pow1`
6×	`log-div` `rem-log-exp`
4×	`add-cbrt-cube` `associate-/r/` `log-pow` `insert-posit16` `add-log-exp`
3×	`flip3--` `flip--`
2×	`div-exp` `div-inv`
1×	`flip3-+` `flip-+`

Counts

4 → 118

Calls

4 calls:

Slowest

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

series240.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

87.0ms	(log (/ (+ x 1) (- 1 x)))
83.0ms	(log (/ (+ x 1) (- 1 x)))
38.0ms	(log (+ x 1))
32.0ms	(log (- 1 x))

simplify1.4s

Counts: 130 → 130

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes41.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample7.5s

Algorithm

intervals

Results

3.7s	3344×	body	1280	valid
1.8s	2539×	body	640	valid
994.0ms	8129×	body	80	nan
558.0ms	1259×	body	320	valid
156.0ms	641×	body	160	valid
50.0ms	217×	body	80	valid