Details

sample161.0ms

Algorithm

intervals

Results

40.0ms	227×	body	80	nan
37.0ms	153×	body	160	valid
28.0ms	483×	pre	80	true
19.0ms	50×	body	320	valid
7.0ms	53×	body	80	valid

simplify164.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.8b

localize53.0ms

Local error

Found 4 expressions with local error:

38.7b	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))
0.4b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
0.2b	(* (* 3 a) c)
0.1b	(- (* b b) (* (* 3 a) c))

rewrite130.0ms

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

55.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
29.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))
27.0ms	(* (* 3 a) c)
17.0ms	(- (* b b) (* (* 3 a) c))

series333.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

151.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
108.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))
52.0ms	(- (* b b) (* (* 3 a) c))
21.0ms	(* (* 3 a) c)

simplify545.0ms

Counts: 109 → 109

prune1.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.6b

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

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.6b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite69.0ms

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

41.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))
14.0ms	(/ (* a c) b)
12.0ms	(* -3/2 (/ (* a c) b))

series101.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

39.0ms	(/ (* a c) b)
32.0ms	(* -3/2 (/ (* a c) b))
30.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify616.0ms

Counts: 96 → 96

prune1.4s

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 4.5b

localize32.0ms

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))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-cbrt-cube` `add-exp-log`
21×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
14×	`associate-r`
12×	`cbrt-undiv` `*-un-lft-identity` `div-exp` `add-cube-cbrt`
11×	`times-frac`
10×	`pow1`
6×	`associate-l`
5×	`associate-*r/`
4×	`pow-prod-down`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-/l` `associate-/l/`

Counts

3 → 92

Calls

3 calls:

Slowest

32.0ms	(* -3/2 (* a (/ c b)))
29.0ms	(/ (* -3/2 (* a (/ c b))) (* 3 a))
17.0ms	(* a (/ c b))

series104.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

48.0ms	(* -3/2 (* a (/ c b)))
35.0ms	(/ (* -3/2 (* a (/ c b))) (* 3 a))
21.0ms	(* a (/ c b))

simplify630.0ms

Counts: 101 → 101

prune999.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 4.5b

regimes1.6s

Accuracy

24.8% (5.0b remaining)

Error of 10.1b against oracle of 5.1b and baseline of 11.7b

bsearch8.0ms

end0.0ms

sample5.5s

Algorithm

intervals

Results

1.7s	4881×	body	160	valid
1.3s	16341×	pre	80	true
1.1s	8341×	body	80	nan
523.0ms	1353×	body	320	valid
269.0ms	1766×	body	80	valid