Details

sample100.0ms

Algorithm

intervals

Results

20.0ms	154×	body	160	valid
18.0ms	284×	body	80	nan
17.0ms	540×	pre	80	true
8.0ms	40×	body	320	valid
4.0ms	62×	body	80	valid

simplify112.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	104
5	104
4	96
3	76
2	41
1	21
0	12

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 42.6b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) a)
0.2b	(* (* 3.0 a) c)
0.3b	(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) a) 3.0)
37.6b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite304.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
147×	`add-sqr-sqrt`
113×	`*-un-lft-identity`
79×	`add-cube-cbrt`
34×	`difference-of-squares`
28×	`associate-/l*`
17×	`sqrt-prod` `distribute-lft-out--`
16×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
6×	`associate-/r*` `div-inv` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`div-sub` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l/`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`sub-neg` `diff-log` `associate-l` `*-commutative`

Counts

4 → 182

Calls

4 calls:

125.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) a)
29.0ms	(* (* 3.0 a) c)
77.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) a) 3.0)
59.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series473.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) a)
40.0ms	(* (* 3.0 a) c)
153.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) a) 3.0)
134.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.5s

Counts

194 → 194

Iterations

Iter	Nodes
done	5001
2	3420
1	699
0	280

prune1.1s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 5.4b

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune125.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 5.4b

localize15.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (* c -1.5) b)
0.3b	(/ (/ (* c -1.5) b) 3.0)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*` `div-inv`
2×	`pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 69

Calls

2 calls:

15.0ms	(/ (* c -1.5) b)
20.0ms	(/ (/ (* c -1.5) b) 3.0)

series84.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (* c -1.5) b)
39.0ms	(/ (/ (* c -1.5) b) 3.0)

simplify607.0ms

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
2	1613
1	316
0	125

prune446.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 5.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ -1.5 (sqrt b))
0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (sqrt b))
0.4b	(* (/ c (* (* (cbrt 3.0) (cbrt 3.0)) (sqrt b))) (/ (/ -1.5 (sqrt b)) (cbrt 3.0)))
0.4b	(/ (/ -1.5 (sqrt b)) (cbrt 3.0))

rewrite293.0ms

Algorithm

rewrite-expression-head

Rules

529×	`times-frac`
309×	`add-sqr-sqrt`
283×	`*-un-lft-identity` `add-cube-cbrt`
142×	`associate-r`
138×	`cbrt-prod`
135×	`sqrt-prod`
70×	`add-exp-log`
52×	`add-cbrt-cube`
25×	`cbrt-undiv` `div-exp` `associate-/l*`
24×	`prod-exp` `cbrt-unprod`
17×	`div-inv`
12×	`associate-/r*`
11×	`pow1`
9×	`unswap-sqr`
8×	`associate-l`
4×	`pow-prod-down` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`frac-times` `associate-l/` `associate-r/` `associate-/l/`

Counts

4 → 423

Calls

4 calls:

5.0ms	(/ -1.5 (sqrt b))
26.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (sqrt b))
216.0ms	(* (/ c (* (* (cbrt 3.0) (cbrt 3.0)) (sqrt b))) (/ (/ -1.5 (sqrt b)) (cbrt 3.0)))
18.0ms	(/ (/ -1.5 (sqrt b)) (cbrt 3.0))

series576.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(/ -1.5 (sqrt b))
171.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (sqrt b))
141.0ms	(* (/ c (* (* (cbrt 3.0) (cbrt 3.0)) (sqrt b))) (/ (/ -1.5 (sqrt b)) (cbrt 3.0)))
190.0ms	(/ (/ -1.5 (sqrt b)) (cbrt 3.0))

simplify1000.0ms

Counts

435 → 435

Iterations

Iter	Nodes
done	5000
1	1932
0	575

prune2.3s

Pruning

40 alts after pruning (39 fresh and 1 done)

Merged error: 5.4b

regimes947.0ms

Accuracy

14.4% (5.9b remaining)

Error of 10.8b against oracle of 4.9b and baseline of 11.8b

bsearch52.0ms

Steps

Iters	Range		Point
4	0.03505168480040674	0.0561216462382886	0.035710121095340545

simplify4.0ms

Iterations

Iter	Nodes
done	24
1	24
0	20

end0.0ms

sample3.6s

Algorithm

intervals

Results

977.0ms	16308×	pre	80	true
797.0ms	8308×	body	80	nan
641.0ms	4822×	body	160	valid
331.0ms	1408×	body	320	valid
177.0ms	1770×	body	80	valid