Details

sample244.0ms

Algorithm

intervals

Results

112.0ms	104×	body	1280	valid
56.0ms	82×	body	640	valid
31.0ms	286×	body	80	nan
22.0ms	44×	body	320	valid
5.0ms	18×	body	160	valid
1.0ms	8×	body	80	valid

simplify157.0ms

Counts

1 → 1

Iterations

Iter	Nodes
10	190
9	190
8	189
7	182
6	155
5	130
4	87
3	59
2	27
1	21
0	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
5.2b	(log (/ (+ x 1) (- 1 x)))

rewrite24.0ms

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:

17.0ms	(/ (+ x 1) (- 1 x))
6.0ms	(log (/ (+ x 1) (- 1 x)))

series113.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (+ x 1) (- 1 x))
81.0ms	(log (/ (+ x 1) (- 1 x)))

simplify718.0ms

Counts

99 → 99

Iterations

Iter	Nodes
3	2267
2	866
1	355
0	162

prune973.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 2 (* (* x 2/3) x)))
0.1b	(* 2/5 (pow x 5))
0.1b	(* (* x 2/3) x)
0.3b	(* x 2/3)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
16×	`associate-r`
15×	`add-cbrt-cube`
13×	`pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l`
8×	`prod-exp`
6×	`cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 87

Calls

4 calls:

21.0ms	(* x (+ 2 (* (* x 2/3) x)))
15.0ms	(* 2/5 (pow x 5))
13.0ms	(* (* x 2/3) x)
5.0ms	(* x 2/3)

series300.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(* x (+ 2 (* (* x 2/3) x)))
100.0ms	(* 2/5 (pow x 5))
30.0ms	(* (* x 2/3) x)
32.0ms	(* x 2/3)

simplify1.8s

Counts

99 → 99

Iterations

Iter	Nodes
3	3758
2	976
1	332
0	134

prune965.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* x 2/3) x) (* (* x 2/3) x))
0.3b	(* x 2/3)
0.3b	(* x 2/3)
0.3b	(* x 2/3)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

124×	`pow1`
69×	`pow-prod-down`
46×	`add-cbrt-cube` `add-exp-log`
30×	`prod-exp` `cbrt-unprod`
16×	`add-sqr-sqrt`
10×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
9×	`pow-sqr` `pow-prod-up`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`pow-plus` `unswap-sqr`
1×	`pow2` `swap-sqr`

Counts

4 → 118

Calls

4 calls:

81.0ms	(* (* (* x 2/3) x) (* (* x 2/3) x))
5.0ms	(* x 2/3)
5.0ms	(* x 2/3)
5.0ms	(* x 2/3)

series141.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (* (* x 2/3) x) (* (* x 2/3) x))
34.0ms	(* x 2/3)
27.0ms	(* x 2/3)
24.0ms	(* x 2/3)

simplify1.4s

Counts

130 → 130

Iterations

Iter	Nodes
3	2313
2	633
1	180
0	75

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
0.0b	(/ (+ x 1) (- 1 x))
5.3b	(log (sqrt (/ (+ x 1) (- 1 x))))
5.3b	(log (sqrt (/ (+ x 1) (- 1 x))))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

158×	`*-un-lft-identity`
106×	`add-sqr-sqrt`
96×	`times-frac`
66×	`log-prod`
60×	`sqrt-prod`
52×	`add-cube-cbrt`
36×	`difference-of-squares`
26×	`distribute-lft-out`
18×	`distribute-lft-out--`
12×	`associate-/r*`
10×	`add-exp-log`
8×	`pow1` `add-cbrt-cube` `associate-/r/` `associate-/l*`
6×	`log-pow`
4×	`flip3--` `insert-posit16` `div-inv` `flip--` `add-log-exp` `associate-/l/`
2×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `sqrt-div` `div-exp` `rem-log-exp` `flip-+`

Counts

4 → 194

Calls

4 calls:

35.0ms	(/ (+ x 1) (- 1 x))
43.0ms	(/ (+ x 1) (- 1 x))
12.0ms	(log (sqrt (/ (+ x 1) (- 1 x))))
7.0ms	(log (sqrt (/ (+ x 1) (- 1 x))))

series346.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (+ x 1) (- 1 x))
39.0ms	(/ (+ x 1) (- 1 x))
139.0ms	(log (sqrt (/ (+ x 1) (- 1 x))))
135.0ms	(log (sqrt (/ (+ x 1) (- 1 x))))

simplify2.2s

Counts

206 → 206

Iterations

Iter	Nodes
4	4174
3	1774
2	772
1	350
0	207

prune1.7s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	25
1	25
0	18

end0.0ms

sample8.0s

Algorithm

intervals

Results

4.0s	3469×	body	1280	valid
2.0s	2437×	body	640	valid
1.0s	7862×	body	80	nan
533.0ms	1241×	body	320	valid
197.0ms	641×	body	160	valid
25.0ms	212×	body	80	valid