Details

sample141.0ms

Algorithm

intervals

Results

38.0ms	145×	body	160	valid
31.0ms	499×	pre	80	true
29.0ms	243×	body	80	nan
19.0ms	111×	body	80	valid

simplify157.0ms

Counts: 1 → 1

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize22.0ms

Local error

Found 4 expressions with local error:

29.5b	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
0.3b	(* (* 3 a) c)
0.2b	(- (* b b) (* (* 3 a) c))

rewrite118.0ms

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

64.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
23.0ms	(* (* 3 a) c)
22.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))
8.0ms	(- (* b b) (* (* 3 a) c))

series357.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

141.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
114.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))
82.0ms	(- (* b b) (* (* 3 a) c))
20.0ms	(* (* 3 a) c)

simplify2.3s

Counts: 109 → 109

prune1.2s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 8.9b

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: 8.9b

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))
0.3b	(/ (* a c) b)

rewrite55.0ms

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

23.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))
17.0ms	(* -3/2 (/ (* a c) b))
13.0ms	(/ (* a c) b)

series124.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

48.0ms	(* -3/2 (/ (* a c) b))
40.0ms	(/ (* a c) b)
36.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify643.0ms

Counts: 96 → 96

prune922.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 8.8b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-cbrt-cube` `add-exp-log`
76×	`add-sqr-sqrt`
67×	`times-frac`
46×	`*-un-lft-identity` `add-cube-cbrt`
37×	`prod-exp` `cbrt-unprod`
36×	`sqrt-prod`
29×	`cbrt-undiv` `div-exp`
25×	`associate-l`
23×	`associate-r`
11×	`pow1`
9×	`associate-*r/` `unswap-sqr`
7×	`associate-/r*`
4×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
3×	`frac-times` `associate-*l/` `associate-/l/`
2×	`clear-num` `frac-2neg` `*-commutative`

Counts

4 → 191

Calls

4 calls:

Slowest

72.0ms	(/ (* -3/2 (* (/ a (sqrt b)) (/ c (sqrt b)))) (* 3 a))
53.0ms	(* -3/2 (* (/ a (sqrt b)) (/ c (sqrt b))))
33.0ms	(* (/ a (sqrt b)) (/ c (sqrt b)))
10.0ms	(/ a (sqrt b))

series235.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

67.0ms	(/ a (sqrt b))
64.0ms	(* (/ a (sqrt b)) (/ c (sqrt b)))
58.0ms	(* -3/2 (* (/ a (sqrt b)) (/ c (sqrt b))))
45.0ms	(/ (* -3/2 (* (/ a (sqrt b)) (/ c (sqrt b)))) (* 3 a))

simplify1.5s

Counts: 203 → 203

prune2.0s

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 8.7b

regimes1.3s

Accuracy

58.7% (5.6b remaining)

Error of 14.7b against oracle of 9.1b and baseline of 22.6b

bsearch19.0ms

end0.0ms

sample5.0s

Algorithm

intervals

Results

1.6s	4494×	body	160	valid
1.2s	16344×	pre	80	true
1.1s	8344×	body	80	nan
434.0ms	3506×	body	80	valid