Details

sample143.0ms

Algorithm

intervals

Results

38.0ms	149×	body	160	valid
33.0ms	263×	body	80	nan
33.0ms	519×	pre	80	true
14.0ms	107×	body	80	valid

simplify170.0ms

Counts: 1 → 1

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.7b

localize20.0ms

Local error

Found 4 expressions with local error:

28.6b	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))
0.4b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
0.3b	(* (* 3 a) c)
0.2b	(- (* b b) (* (* 3 a) c))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
14×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt` `add-log-exp`
9×	`pow1`
6×	`distribute-rgt-neg-in` `distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `associate-r` `pow-prod-down`
2×	`neg-sub0` `cbrt-undiv` `sum-log` `flip3-+` `div-exp` `associate-+l-` `flip-+` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-/r` `neg-mul-1` `sub-neg` `frac-2neg` `flip3--` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `neg-log` `-commutative` `div-inv` `flip--`

Counts

4 → 97

Calls

4 calls:

Slowest

83.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
24.0ms	(* (* 3 a) c)
23.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))
17.0ms	(- (* b b) (* (* 3 a) c))

series432.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

178.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
146.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))
74.0ms	(- (* b b) (* (* 3 a) c))
35.0ms	(* (* 3 a) c)

simplify2.4s

Counts: 109 → 109

prune1.2s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 9.6b

localize12.0ms

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

prune84.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 9.6b

localize30.0ms

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)

rewrite57.0ms

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×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `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 → 87

Calls

3 calls:

Slowest

20.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))
17.0ms	(/ (* a c) b)
17.0ms	(* -3/2 (/ (* a c) b))

series113.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

53.0ms	(* -3/2 (/ (* a c) b))
37.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))
24.0ms	(/ (* a c) b)

simplify557.0ms

Counts: 96 → 96

prune859.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 9.5b

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

prune0.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 9.5b

regimes1.4s

Accuracy

46% (7.3b remaining)

Error of 16.5b against oracle of 9.2b and baseline of 22.7b

bsearch6.0ms

end0.0ms

sample5.1s

Algorithm

intervals

Results

1.6s	4504×	body	160	valid
1.1s	16368×	pre	80	true
1.1s	8368×	body	80	nan
810.0ms	3496×	body	80	valid