Details

sample160.0ms

Algorithm

intervals

Results

43.0ms	123×	body	320	valid
37.0ms	486×	pre	80	true
26.0ms	230×	body	80	nan
21.0ms	83×	body	160	valid
8.0ms	20×	body	640	valid
4.0ms	30×	body	80	valid

simplify106.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	93
7	93
6	92
5	90
4	82
3	66
2	40
1	21
0	12

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* b b) (* (* 3 a) c))
0.1b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b	(* (* 3 a) c)
25.1b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

10.0ms	(- (* b b) (* (* 3 a) c))
72.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
32.0ms	(* (* 3 a) c)
38.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series413.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (* b b) (* (* 3 a) c))
169.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
35.0ms	(* (* 3 a) c)
139.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify5.3s

Counts

91 → 91

Iterations

Iter	Nodes
3	6196
2	1498
1	421
0	158

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.3b

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

prune45.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.3b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite81.0ms

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×	`associate-l` `insert-posit16` `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 → 81

Calls

3 calls:

18.0ms	(/ (* a c) b)
25.0ms	(* -3/2 (/ (* a c) b))
36.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series112.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (* a c) b)
43.0ms	(* -3/2 (/ (* a c) b))
29.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify11.8s

Counts

90 → 90

Iterations

Iter	Nodes
3	15215
2	1842
1	363
0	126

prune683.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 2.3b

localize14.0ms

Local error

Found 3 expressions with local error:

0.4b	(* (/ (* -1/2 c) b) (* (/ (* -1/2 c) b) (/ (* -1/2 c) b)))
0.5b	(* (/ (* -1/2 c) b) (/ (* -1/2 c) b))
0.7b	(cbrt (* (/ (* -1/2 c) b) (* (/ (* -1/2 c) b) (/ (* -1/2 c) b))))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

210×	`add-cbrt-cube` `add-exp-log`
100×	`prod-exp` `cbrt-unprod`
68×	`cbrt-undiv` `div-exp`
24×	`pow1`
16×	`add-sqr-sqrt`
15×	`times-frac`
14×	`associate-l`
13×	`*-un-lft-identity` `add-cube-cbrt`
11×	`frac-times` `associate-*r/`
8×	`associate-r`
7×	`cbrt-div` `swap-sqr` `associate-*l/`
6×	`pow-prod-up`
5×	`div-inv`
4×	`pow-prod-down`
3×	`insert-posit16` `add-log-exp`
2×	`pow2` `pow-plus` `cube-unmult` `pow-sqr` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube`

Counts

3 → 167

Calls

3 calls:

72.0ms	(* (/ (* -1/2 c) b) (* (/ (* -1/2 c) b) (/ (* -1/2 c) b)))
44.0ms	(* (/ (* -1/2 c) b) (/ (* -1/2 c) b))
75.0ms	(cbrt (* (/ (* -1/2 c) b) (* (/ (* -1/2 c) b) (/ (* -1/2 c) b))))

series189.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(* (/ (* -1/2 c) b) (* (/ (* -1/2 c) b) (/ (* -1/2 c) b)))
43.0ms	(* (/ (* -1/2 c) b) (/ (* -1/2 c) b))
65.0ms	(cbrt (* (/ (* -1/2 c) b) (* (/ (* -1/2 c) b) (/ (* -1/2 c) b))))

simplify929.0ms

Counts

176 → 176

Iterations

Iter	Nodes
2	2185
1	595
0	209

prune1.4s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.3b

regimes461.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.7b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	6
1	6
0	5

end0.0ms

sample6.0s

Algorithm

intervals

Results

1.6s	16124×	pre	80	true
1.4s	3651×	body	320	valid
1.1s	2897×	body	160	valid
976.0ms	8124×	body	80	nan
244.0ms	529×	body	640	valid
136.0ms	923×	body	80	valid