Details

sample154.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
14.0ms	250×	body	80	nan

simplify74.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	9	11
1	16	11
2	19	11
3	21	11
done	21	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
0.0b	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b	(/ (- 1.0 x) (+ 1.0 x))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 91

Calls

3 calls:

1.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
20.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
25.0ms	(/ (- 1.0 x) (+ 1.0 x))

series365.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
261.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
96.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify2.1s

Counts

100 → 100

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	167	1451
1	356	1376
2	866	1284
3	2147	1268
done	5001	1252

prune371.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))
0.0b	(cbrt (- 1.0 x))
0.0b	(cbrt (- 1.0 x))
0.0b	(cbrt (- 1.0 x))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 132

Calls

4 calls:

33.0ms	(/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))
4.0ms	(cbrt (- 1.0 x))
4.0ms	(cbrt (- 1.0 x))
4.0ms	(cbrt (- 1.0 x))

series774.0ms

Counts

4 → 12

Calls

4 calls:

331.0ms	(/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))
141.0ms	(cbrt (- 1.0 x))
141.0ms	(cbrt (- 1.0 x))
161.0ms	(cbrt (- 1.0 x))

simplify2.4s

Counts

144 → 144

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	225	2439
1	471	2243
2	1200	2174
3	3611	2096
done	5000	2072

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes138.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	11	11
done	11	11

end0.0ms

sample1.3s

Algorithm

intervals

Results

498.0ms	8000×	body	80	valid
338.0ms	8070×	body	80	nan