Details

sample237.0ms

Algorithm

intervals

Results

133.0ms	118×	body	1280	valid
41.0ms	70×	body	640	valid
18.0ms	267×	body	80	nan
15.0ms	46×	body	320	valid
3.0ms	17×	body	160	valid
0.0ms	5×	body	80	valid

simplify170.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	25	12
3	40	12
4	61	12
5	88	12
6	106	12
7	121	12
8	123	12
done	123	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.1b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `flip--` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 82

Calls

2 calls:

42.0ms	(/ (+ 1.0 x) (- 1.0 x))
10.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series219.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (+ 1.0 x) (- 1.0 x))
175.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify795.0ms

Counts

88 → 88

Iterations

Useful iterations: done (791.0ms)

Iter	Nodes	Cost
0	142	1276
1	328	1221
2	1300	1152
done	5000	1139

prune249.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
69×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
35×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log` `unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
6×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 110

Calls

1 calls:

71.0ms

(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series87.0ms

Counts

1 → 3

Calls

1 calls:

87.0ms

(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify1.6s

Counts

113 → 113

Iterations

Useful iterations: 2 (790.0ms)

Iter	Nodes	Cost
0	220	1482
1	609	1317
2	3145	1027
done	5000	1027

prune423.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
0.0b	(exp (/ (+ 1.0 x) (- 1.0 x)))
0.0b	(log (exp (/ (+ 1.0 x) (- 1.0 x))))
6.1b	(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

123×	`*-un-lft-identity`
81×	`add-sqr-sqrt`
80×	`times-frac`
78×	`exp-prod`
55×	`log-pow`
47×	`add-cube-cbrt`
33×	`log-prod`
21×	`distribute-lft-out`
17×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r/`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube`
5×	`associate-/r*` `add-log-exp`
4×	`flip3--` `flip--` `div-inv` `associate-/l*`
2×	`rem-log-exp` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `rem-exp-log`

Counts

4 → 156

Calls

4 calls:

28.0ms	(/ (+ 1.0 x) (- 1.0 x))
67.0ms	(exp (/ (+ 1.0 x) (- 1.0 x)))
46.0ms	(log (exp (/ (+ 1.0 x) (- 1.0 x))))
30.0ms	(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))

series430.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ (+ 1.0 x) (- 1.0 x))
110.0ms	(exp (/ (+ 1.0 x) (- 1.0 x)))
49.0ms	(log (exp (/ (+ 1.0 x) (- 1.0 x))))
222.0ms	(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))

simplify893.0ms

Counts

168 → 168

Iterations

Useful iterations: done (883.0ms)

Iter	Nodes	Cost
0	218	2308
1	427	2052
2	1572	1923
done	5002	1896

prune469.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (- 1.0 x))
0.0b	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
5.8b	(log (/ (sqrt (+ 1.0 x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))))
5.8b	(log (/ (sqrt (+ 1.0 x)) (cbrt (- 1.0 x))))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity`
81×	`log-prod`
79×	`add-sqr-sqrt`
68×	`cbrt-prod`
63×	`times-frac`
47×	`add-cube-cbrt`
36×	`sqrt-prod`
28×	`cbrt-div`
15×	`add-exp-log`
14×	`flip3--` `flip--` `distribute-lft-out--`
13×	`pow1`
12×	`difference-of-squares`
10×	`swap-sqr` `associate-/r/`
9×	`distribute-lft-out`
8×	`frac-times` `associate-r` `associate-l`
7×	`pow1/3`
5×	`rem-log-exp`
4×	`associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`div-exp`
2×	`log-div` `pow-prod-down` `prod-exp` `pow-sqr` `log-pow` `pow-prod-up` `div-inv`
1×	`pow2` `pow-plus` `*-commutative` `cbrt-unprod`

Counts

4 → 175

Calls

4 calls:

8.0ms	(cbrt (- 1.0 x))
80.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
42.0ms	(log (/ (sqrt (+ 1.0 x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))))
37.0ms	(log (/ (sqrt (+ 1.0 x)) (cbrt (- 1.0 x))))

series1.2s

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (- 1.0 x))
162.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
510.0ms	(log (/ (sqrt (+ 1.0 x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))))
413.0ms	(log (/ (sqrt (+ 1.0 x)) (cbrt (- 1.0 x))))

simplify2.0s

Counts

187 → 187

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	404	3749
1	912	3418
2	3259	3221
done	5001	3107

prune921.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes23.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	24
1	21	24
done	21	24

end0.0ms

sample6.6s

Algorithm

intervals

Results

3.2s	3344×	body	1280	valid
1.1s	2492×	body	640	valid
1.1s	8113×	body	80	nan
500.0ms	1284×	body	320	valid
164.0ms	652×	body	160	valid
18.0ms	228×	body	80	valid