Details

sample129.0ms

Algorithm

intervals

Results

48.0ms	152×	body	160	valid
23.0ms	500×	pre	80	true
23.0ms	244×	body	80	nan
10.0ms	104×	body	80	valid

simplify183.0ms

Counts: 1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.2b

localize44.0ms

Local error

Found 4 expressions with local error:

30.1b	(- (sqrt (- (* b b) (* (* c a) 4))) b)
0.3b	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
0.3b	(- (* b b) (* (* c a) 4))
0.1b	(sqrt (- (* b b) (* (* c a) 4)))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

Slowest

93.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
54.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
7.0ms	(sqrt (- (* b b) (* (* c a) 4)))
7.0ms	(- (* b b) (* (* c a) 4))

series457.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

157.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
125.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
108.0ms	(sqrt (- (* b b) (* (* c a) 4)))
67.0ms	(- (* b b) (* (* c a) 4))

simplify2.2s

Counts: 88 → 88

prune954.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 8.3b

localize8.0ms

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

prune81.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 8.3b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-cbrt-cube` `add-exp-log`
14×	`cbrt-undiv` `div-exp`
13×	`prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `add-cube-cbrt`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp`
1×	`associate-*r/` `associate-/l/`

Counts

2 → 53

Calls

2 calls:

Slowest

25.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))
13.0ms	(/ (* a c) b)

series66.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

35.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))
31.0ms	(/ (* a c) b)

simplify444.0ms

Counts: 59 → 59

prune483.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 8.2b

localize18.0ms

Local error

Found 2 expressions with local error:

0.4b	(* (* -2 (/ (* a c) b)) (/ 1/2 a))
0.3b	(/ (* a c) b)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 66

Calls

2 calls:

Slowest

42.0ms	(* (* -2 (/ (* a c) b)) (/ 1/2 a))
8.0ms	(/ (* a c) b)

series68.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

38.0ms	(/ (* a c) b)
30.0ms	(* (* -2 (/ (* a c) b)) (/ 1/2 a))

simplify4.0s

Counts: 72 → 72

prune608.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 8.2b

regimes749.0ms

Accuracy

44.5% (7.5b remaining)

Error of 16.6b against oracle of 9.1b and baseline of 22.6b

bsearch36.0ms

end0.0ms

sample5.6s

Algorithm

intervals

Results

1.5s	16804×	pre	80	true
1.4s	4516×	body	160	valid
1.3s	8804×	body	80	nan
488.0ms	3484×	body	80	valid