Details

sample98.0ms

Algorithm

intervals

Results

50.0ms	106×	body	1280	valid
21.0ms	88×	body	640	valid
7.0ms	272×	body	80	nan
5.0ms	33×	body	320	valid
2.0ms	23×	body	160	valid
0.0ms	6×	body	80	valid

simplify54.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	24	12
3	39	12
4	56	12
5	78	12
6	93	12
7	101	12
done	101	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.6b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite20.0ms

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:

11.0ms	(/ (+ 1.0 x) (- 1.0 x))
6.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series153.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (+ 1.0 x) (- 1.0 x))
122.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.1s

Counts

88 → 88

Iterations

Useful iterations: 3 (428.0ms)

Iter	Nodes	Cost
0	142	1276
1	316	1221
2	815	1150
3	2328	1108
done	5000	1108

prune193.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite36.0ms

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:

30.0ms

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

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify571.0ms

Counts

113 → 113

Iterations

Useful iterations: 2 (245.0ms)

Iter	Nodes	Cost
0	220	1482
1	527	1293
2	1673	1087
done	5001	1087

prune295.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (+ 1.0 x))
0.0b	(cbrt (+ 1.0 x))
6.6b	(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
6.6b	(log (cbrt (+ 1.0 x)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
48×	`log-prod`
40×	`add-sqr-sqrt`
35×	`times-frac`
32×	`cbrt-prod`
26×	`add-cube-cbrt`
8×	`add-exp-log` `distribute-lft-out`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `cbrt-div`
4×	`add-cbrt-cube` `add-log-exp`
3×	`log-div` `flip3-+` `pow1/3` `rem-log-exp` `log-pow` `flip-+`
2×	`associate-/r/`
1×	`flip3--` `div-exp` `flip--` `div-inv`

Counts

4 → 99

Calls

4 calls:

2.0ms	(cbrt (+ 1.0 x))
2.0ms	(cbrt (+ 1.0 x))
7.0ms	(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
3.0ms	(log (cbrt (+ 1.0 x)))

series477.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt (+ 1.0 x))
89.0ms	(cbrt (+ 1.0 x))
181.0ms	(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
117.0ms	(log (cbrt (+ 1.0 x)))

simplify1.4s

Counts

111 → 111

Iterations

Useful iterations: 3 (705.0ms)

Iter	Nodes	Cost
0	257	1773
1	540	1677
2	1324	1580
3	3742	1477
done	5000	1477

prune287.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

6.6b	(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
6.6b	(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
6.6b	(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
6.6b	(log (cbrt (+ 1.0 x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

134×	`*-un-lft-identity`
130×	`log-prod`
105×	`times-frac`
102×	`add-sqr-sqrt`
64×	`cbrt-prod`
60×	`add-cube-cbrt`
21×	`distribute-lft-out--` `difference-of-squares`
16×	`distribute-lft-out`
14×	`add-exp-log`
8×	`pow1`
7×	`rem-log-exp`
6×	`associate-/r/`
5×	`log-div` `log-pow`
4×	`add-cbrt-cube` `add-log-exp`
3×	`flip3--` `div-exp` `flip--` `div-inv`
2×	`cbrt-div`
1×	`flip3-+` `pow1/3` `flip-+`

Counts

4 → 175

Calls

4 calls:

6.0ms	(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
6.0ms	(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
6.0ms	(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
3.0ms	(log (cbrt (+ 1.0 x)))

series654.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
177.0ms	(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
178.0ms	(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
121.0ms	(log (cbrt (+ 1.0 x)))

simplify1.3s

Counts

187 → 187

Iterations

Useful iterations: 3 (701.0ms)

Iter	Nodes	Cost
0	223	3493
1	449	3287
2	1047	3106
3	2848	3013
done	5001	3013

prune590.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes19.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (4.0ms)

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

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	3355×	body	1280	valid
626.0ms	2529×	body	640	valid
228.0ms	8067×	body	80	nan
183.0ms	1246×	body	320	valid
61.0ms	662×	body	160	valid
9.0ms	208×	body	80	valid