Details

sample60.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
8.0ms	284×	pre	80	false
6.0ms	256×	pre	80	true

simplify4.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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)))))
29.0ms	(/ (* b b) (* a a))

series76.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
55.0ms	(/ (* b b) (* a a))

simplify10.2s

Counts

40 → 40

Iterations

Useful iterations: 4 (8.6s)

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

prune136.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (fabs (- 1 (/ (* b (/ b a)) a))))
0.1b	(* b (/ b a))
14.1b	(/ (* b (/ b a)) a)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

2.0ms	(sqrt (fabs (- 1 (/ (* b (/ b a)) a))))
18.0ms	(* b (/ b a))
18.0ms	(/ (* b (/ b a)) a)

series93.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(sqrt (fabs (- 1 (/ (* b (/ b a)) a))))
27.0ms	(* b (/ b a))
49.0ms	(/ (* b (/ b a)) a)

simplify3.9s

Counts

78 → 78

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	113	789
1	258	734
2	747	623
3	2567	599
done	5000	599

prune277.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fabs (- 1 (log (exp (/ (* b (/ b a)) a))))))
0.1b	(* b (/ b a))
4.9b	(log (exp (/ (* b (/ b a)) a)))
14.1b	(/ (* b (/ b a)) a)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
16×	`times-frac`
13×	`associate-r`
8×	`pow1` `log-pow`
7×	`exp-prod`
5×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`log-prod` `associate-l` `associate-/r*` `sqrt-prod` `div-inv`
2×	`associate-*r/` `unswap-sqr`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `rem-log-exp` `pow-prod-down` `clear-num` `-commutative` `associate-/l/` `associate-/l`

Counts

4 → 88

Calls

4 calls:

2.0ms	(sqrt (fabs (- 1 (log (exp (/ (* b (/ b a)) a))))))
28.0ms	(* b (/ b a))
13.0ms	(log (exp (/ (* b (/ b a)) a)))
26.0ms	(/ (* b (/ b a)) a)

series147.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(sqrt (fabs (- 1 (log (exp (/ (* b (/ b a)) a))))))
35.0ms	(* b (/ b a))
37.0ms	(log (exp (/ (* b (/ b a)) a)))
44.0ms	(/ (* b (/ b a)) a)

simplify4.1s

Counts

100 → 100

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	141	1071
1	290	943
2	789	798
3	2632	768
done	5000	768

prune381.0ms

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

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	12	11
done	12	11

end0.0ms

sample1.4s

Algorithm

intervals

Results

466.0ms	8000×	body	80	valid
223.0ms	8081×	pre	80	false
153.0ms	8000×	pre	80	true