Details

sample187.0ms

Algorithm

intervals

Results

61.0ms	284×	body	80	nan
41.0ms	162×	body	160	valid
33.0ms	540×	pre	80	true
16.0ms	43×	body	320	valid
6.0ms	51×	body	80	valid

simplify133.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.7b

localize31.0ms

Local error

Found 4 expressions with local error:

39.5b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.3b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.2b	(* (* 3 a) c)
0.1b	(- (* b b) (* (* 3 a) c))

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-cbrt-cube` `add-exp-log`
13×	`*-un-lft-identity`
9×	`pow1`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`times-frac` `associate-/l*` `difference-of-squares`
4×	`prod-exp` `cbrt-unprod` `insert-posit16`
3×	`flip3--` `associate-r` `pow-prod-down` `sqrt-prod` `flip--` `distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `div-sub` `associate-l` `-commutative` `div-inv`

Counts

4 → 79

Calls

4 calls:

Slowest

93.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
69.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
28.0ms	(* (* 3 a) c)
16.0ms	(- (* b b) (* (* 3 a) c))

series329.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

147.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
89.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
68.0ms	(- (* b b) (* (* 3 a) c))
24.0ms	(* (* 3 a) c)

simplify2.4s

Counts: 91 → 91

prune980.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.8b

localize7.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

Calls

0 calls:

Slowest

series0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

simplify0.0ms

Counts: 0 → 0

prune64.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 4.8b

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b	(* -3/2 (/ (* a c) b))
0.3b	(/ (* -3/2 (/ (* a c) b)) (* 3 a))
0.3b	(/ (* a c) b)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-cbrt-cube` `add-exp-log`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`times-frac` `associate-r`
5×	`pow1`
4×	`associate-/r*`
3×	`associate-l` `insert-posit16` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-r/` `associate-/l`
1×	`pow-prod-down` `*-commutative` `unswap-sqr` `associate-/l/`

Counts

3 → 81

Calls

3 calls:

Slowest

18.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))
16.0ms	(* -3/2 (/ (* a c) b))
9.0ms	(/ (* a c) b)

series77.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

30.0ms	(* -3/2 (/ (* a c) b))
24.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))
23.0ms	(/ (* a c) b)

simplify624.0ms

Counts: 90 → 90

prune890.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 4.7b

localize41.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* -3/2 (/ a (sqrt b))) (/ c (sqrt b)))
0.3b	(* -3/2 (/ a (sqrt b)))
0.3b	(/ (* (* -3/2 (/ a (sqrt b))) (/ c (sqrt b))) (* 3 a))
0.2b	(/ a (sqrt b))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-cbrt-cube` `add-exp-log`
57×	`times-frac`
54×	`add-sqr-sqrt`
46×	`*-un-lft-identity` `add-cube-cbrt`
44×	`associate-r`
39×	`prod-exp` `cbrt-unprod`
31×	`cbrt-undiv` `div-exp` `sqrt-prod`
11×	`pow1`
7×	`associate-/r` `associate-r/`
4×	`associate-l` `pow-prod-down` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp`
3×	`unswap-sqr` `associate-/l/`
2×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `-commutative`

Counts

4 → 177

Calls

4 calls:

Slowest

56.0ms	(/ (* (* -3/2 (/ a (sqrt b))) (/ c (sqrt b))) (* 3 a))
38.0ms	(* (* -3/2 (/ a (sqrt b))) (/ c (sqrt b)))
10.0ms	(* -3/2 (/ a (sqrt b)))
5.0ms	(/ a (sqrt b))

series300.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

92.0ms	(* -3/2 (/ a (sqrt b)))
75.0ms	(/ a (sqrt b))
74.0ms	(* (* -3/2 (/ a (sqrt b))) (/ c (sqrt b)))
59.0ms	(/ (* (* -3/2 (/ a (sqrt b))) (/ c (sqrt b))) (* 3 a))

simplify1.4s

Counts: 189 → 189

prune1.8s

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 4.7b

regimes1.1s

Accuracy

4.2% (6.4b remaining)

Error of 11.4b against oracle of 5.1b and baseline of 11.7b

bsearch103.0ms

end0.0ms

sample5.6s

Algorithm

intervals

Results

1.3s	4890×	body	160	valid
1.1s	8131×	body	80	nan
1.1s	16131×	pre	80	true
900.0ms	1371×	body	320	valid
226.0ms	1739×	body	80	valid