Details

sample130.0ms

Algorithm

intervals

Results

35.0ms	523×	pre	80	true
29.0ms	136×	body	160	valid
27.0ms	267×	body	80	nan
13.0ms	120×	body	80	valid

simplify114.0ms

Counts: 1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.9b

localize34.0ms

Local error

Found 4 expressions with local error:

27.8b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.4b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b	(* (* 3 a) c)
0.2b	(- (* b b) (* (* 3 a) c))

rewrite133.0ms

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

78.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
30.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
16.0ms	(* (* 3 a) c)
8.0ms	(- (* b b) (* (* 3 a) c))

series321.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

133.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
107.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
53.0ms	(- (* b b) (* (* 3 a) c))
28.0ms	(* (* 3 a) c)

simplify2.3s

Counts: 91 → 91

prune875.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 10.1b

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

prune62.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 10.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

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

24.0ms	(* -3/2 (/ (* a c) b))
21.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))
18.0ms	(/ (* a c) b)

series84.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

31.0ms	(* -3/2 (/ (* a c) b))
29.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))
24.0ms	(/ (* a c) b)

simplify460.0ms

Counts: 90 → 90

prune749.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 10.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite116.0ms

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

60.0ms	(/ (* (* -3/2 (/ a (sqrt b))) (/ c (sqrt b))) (* 3 a))
39.0ms	(* (* -3/2 (/ a (sqrt b))) (/ c (sqrt b)))
10.0ms	(* -3/2 (/ a (sqrt b)))
4.0ms	(/ c (sqrt b))

series301.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

89.0ms	(* -3/2 (/ a (sqrt b)))
82.0ms	(/ c (sqrt b))
69.0ms	(* (* -3/2 (/ a (sqrt b))) (/ c (sqrt b)))
61.0ms	(/ (* (* -3/2 (/ a (sqrt b))) (/ c (sqrt b))) (* 3 a))

simplify1.5s

Counts: 189 → 189

prune2.0s

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 10.0b

regimes1.3s

Accuracy

47.1% (7.2b remaining)

Error of 16.2b against oracle of 9.0b and baseline of 22.6b

bsearch34.0ms

end0.0ms

sample5.5s

Algorithm

intervals

Results

1.5s	8737×	body	80	nan
1.3s	4507×	body	160	valid
1.1s	16737×	pre	80	true
904.0ms	3493×	body	80	valid