Details

sample141.0ms

Algorithm

intervals

Results

40.0ms	166×	body	160	valid
29.0ms	489×	pre	80	true
25.0ms	233×	body	80	nan
13.0ms	38×	body	320	valid
6.0ms	52×	body	80	valid

simplify118.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.8b

localize39.0ms

Local error

Found 4 expressions with local error:

40.8b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.3b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b	(* (* 3 a) c)
0.1b	(- (* b b) (* (* 3 a) c))

rewrite196.0ms

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

91.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
67.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
19.0ms	(* (* 3 a) c)
15.0ms	(- (* b b) (* (* 3 a) c))

series384.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

161.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
137.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
59.0ms	(- (* b b) (* (* 3 a) c))
26.0ms	(* (* 3 a) c)

simplify2.4s

Counts: 91 → 91

prune1.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.2b

localize6.0ms

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

15 alts after pruning (14 fresh and 1 done)

Merged error: 5.2b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

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

36.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))
19.0ms	(* -3/2 (/ (* a c) b))
11.0ms	(/ (* a c) b)

series97.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

42.0ms	(* -3/2 (/ (* a c) b))
32.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))
23.0ms	(/ (* a c) b)

simplify543.0ms

Counts: 90 → 90

prune837.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 5.1b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

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

38.0ms	(/ (* (* -3/2 (/ a (sqrt b))) (/ c (sqrt b))) (* 3 a))
26.0ms	(* (* -3/2 (/ a (sqrt b))) (/ c (sqrt b)))
10.0ms	(* -3/2 (/ a (sqrt b)))
4.0ms	(/ a (sqrt b))

series287.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

94.0ms	(* -3/2 (/ a (sqrt b)))
75.0ms	(/ a (sqrt b))
66.0ms	(* (* -3/2 (/ a (sqrt b))) (/ c (sqrt b)))
53.0ms	(/ (* (* -3/2 (/ a (sqrt b))) (/ c (sqrt b))) (* 3 a))

simplify1.5s

Counts: 189 → 189

prune1.9s

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 5.0b

regimes885.0ms

Accuracy

0% (6.8b remaining)

Error of 11.8b against oracle of 5.0b and baseline of 11.8b

bsearch1.0ms

end0.0ms

sample5.3s

Algorithm

intervals

Results

1.5s	16334×	pre	80	true
1.3s	4877×	body	160	valid
1.2s	8334×	body	80	nan
553.0ms	1370×	body	320	valid
236.0ms	1753×	body	80	valid