Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
4.0ms	284×	pre	80	false
4.0ms	256×	pre	80	true

simplify5.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	8	13
1	18	13
2	47	11
3	98	11
4	187	11
5	332	11
6	498	11
7	1408	11
done	5001	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
29.5b	(/ (* b b) (* a a))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-cbrt-cube`
4×	`cbrt-undiv` `add-sqr-sqrt` `div-exp` `prod-exp` `cbrt-unprod`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-log-exp`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `times-frac` `pow1/2` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

2 → 34

Calls

2 calls:

2.0ms	(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
28.0ms	(/ (* b b) (* a a))

series90.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
50.0ms	(/ (* b b) (* a a))

simplify10.0s

Counts

40 → 40

Iterations

Useful iterations: 4 (8.7s)

Iter	Nodes	Cost
0	65	498
1	145	462
2	488	370
3	1836	355
4	4570	345
done	5001	345

prune112.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (fabs (- 1 (cbrt (pow (/ b a) 6)))))
0.4b	(pow (/ b a) 6)
27.6b	(cbrt (pow (/ b a) 6))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

26×	`unpow-prod-down`
21×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
17×	`cbrt-prod`
6×	`add-exp-log`
5×	`pow1`
3×	`pow-unpow` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
2×	`pow-exp` `div-inv` `sqr-pow`
1×	`pow-to-exp` `rem-sqrt-square` `pow-pow` `sqrt-pow1` `pow1/2` `pow1/3` `div-exp`

Counts

3 → 66

Calls

3 calls:

1.0ms	(sqrt (fabs (- 1 (cbrt (pow (/ b a) 6)))))
7.0ms	(pow (/ b a) 6)
5.0ms	(cbrt (pow (/ b a) 6))

series144.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(sqrt (fabs (- 1 (cbrt (pow (/ b a) 6)))))
61.0ms	(pow (/ b a) 6)
48.0ms	(cbrt (pow (/ b a) 6))

simplify1.5s

Counts

75 → 75

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	133	880
1	227	812
2	497	760
3	1824	715
done	5001	702

prune336.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fabs (- 1 (log (exp (cbrt (pow (/ b a) 6)))))))
0.4b	(pow (/ b a) 6)
4.9b	(log (exp (cbrt (pow (/ b a) 6))))
27.6b	(cbrt (pow (/ b a) 6))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

39×	`unpow-prod-down`
34×	`cbrt-prod`
32×	`add-sqr-sqrt`
31×	`add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
21×	`log-pow`
20×	`exp-prod`
7×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `log-prod` `sqrt-prod` `div-inv` `sqr-pow`
2×	`pow-exp`
1×	`pow-to-exp` `rem-sqrt-square` `pow-pow` `sqrt-pow1` `pow1/2` `pow1/3` `div-exp` `rem-log-exp`

Counts

4 → 98

Calls

4 calls:

1.0ms	(sqrt (fabs (- 1 (log (exp (cbrt (pow (/ b a) 6)))))))
6.0ms	(pow (/ b a) 6)
26.0ms	(log (exp (cbrt (pow (/ b a) 6))))
12.0ms	(cbrt (pow (/ b a) 6))

series170.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sqrt (fabs (- 1 (log (exp (cbrt (pow (/ b a) 6)))))))
73.0ms	(pow (/ b a) 6)
33.0ms	(log (exp (cbrt (pow (/ b a) 6))))
45.0ms	(cbrt (pow (/ b a) 6))

simplify1.5s

Counts

110 → 110

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	188	1291
1	286	1111
2	562	1030
3	1932	964
done	5001	943

prune478.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes54.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	12	10
done	12	10

end0.0ms

sample1.5s

Algorithm

intervals

Results

460.0ms	8000×	body	80	valid
198.0ms	8000×	pre	80	true
198.0ms	8081×	pre	80	false