Details

sample180.0ms

Algorithm

intervals

Results

34.0ms	144×	body	160	valid
30.0ms	274×	body	80	nan
30.0ms	530×	pre	80	true
18.0ms	51×	body	320	valid
8.0ms	61×	body	80	valid

simplify82.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	102
7	102
6	101
5	99
4	91
3	73
2	41
1	22
0	12

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 42.8b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3 a) c))
0.2b	(* (* 3 a) c)
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
36.0b	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

rewrite132.0ms

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:

12.0ms	(- (* b b) (* (* 3 a) c))
14.0ms	(* (* 3 a) c)
80.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
23.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

series332.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (* b b) (* (* 3 a) c))
24.0ms	(* (* 3 a) c)
128.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
116.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify5.5s

Counts

109 → 109

Iterations

Iter	Nodes
3	6302
2	1593
1	465
0	170

prune1.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.1b

localize12.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune57.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.1b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite95.0ms

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:

17.0ms	(/ (* a c) b)
37.0ms	(* -3/2 (/ (* a c) b))
38.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series113.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (* a c) b)
43.0ms	(* -3/2 (/ (* a c) b))
32.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify14.1s

Counts

96 → 96

Iterations

Iter	Nodes
3	16378
2	1907
1	377
0	132

prune879.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 5.1b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune0.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 5.1b

regimes885.0ms

Accuracy

21.5% (5.0b remaining)

Error of 10.2b against oracle of 5.1b and baseline of 11.5b

bsearch3.0ms

simplify11.0ms

Iterations

Iter	Nodes
2	54
1	54
0	43

end0.0ms

sample5.5s

Algorithm

intervals

Results

1.8s	4893×	body	160	valid
1.2s	8060×	body	80	nan
1.1s	16060×	pre	80	true
604.0ms	1393×	body	320	valid
260.0ms	1714×	body	80	valid