Details

sample103.0ms

Algorithm

intervals

Results

23.0ms	123×	body	320	valid
17.0ms	88×	body	160	valid
16.0ms	269×	body	80	nan
15.0ms	525×	pre	80	true
4.0ms	19×	body	640	valid
2.0ms	26×	body	80	valid

simplify92.0ms

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.8b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
0.3b	(* (* 3.0 a) c)
25.1b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite198.0ms

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`
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 → 75

Calls

4 calls:

12.0ms	(- (* b b) (* (* 3.0 a) c))
116.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
14.0ms	(* (* 3.0 a) c)
53.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series383.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (* b b) (* (* 3.0 a) c))
157.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
22.0ms	(* (* 3.0 a) c)
139.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify2.2s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	2514
1	426
0	155

prune497.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.6b

localize5.0ms

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

prune63.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.6b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

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` `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 → 78

Calls

3 calls:

14.0ms	(/ (* a c) b)
15.0ms	(* -1.5 (/ (* a c) b))
19.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series106.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ (* a c) b)
47.0ms	(* -1.5 (/ (* a c) b))
26.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.9s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	2789
1	391
0	123

prune426.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 2.6b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-cbrt-cube` `add-exp-log`
20×	`associate-r`
17×	`add-sqr-sqrt`
15×	`sqrt-prod`
14×	`prod-exp` `cbrt-unprod`
13×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
10×	`times-frac`
9×	`sqrt-div`
8×	`cbrt-undiv` `div-exp`
7×	`associate-*r/`
4×	`associate-/r` `associate-l*` `pow-prod-down` `div-inv` `add-log-exp`
3×	`associate-/l/`
2×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `-commutative` `associate-/l*` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

14.0ms	(/ (* a c) b)
29.0ms	(* -1.5 (sqrt (/ (* a c) b)))
83.0ms	(* (* -1.5 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))
65.0ms	(/ (* (* -1.5 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3.0 a))

series283.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ (* a c) b)
92.0ms	(* -1.5 (sqrt (/ (* a c) b)))
94.0ms	(* (* -1.5 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))
57.0ms	(/ (* (* -1.5 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3.0 a))

simplify2.0s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
2	3416
1	460
0	159

prune501.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.6b

regimes603.0ms

Accuracy

0% (3.7b remaining)

Error of 6.4b against oracle of 2.7b and baseline of 6.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.1s	8095×	body	80	nan
901.0ms	3703×	body	320	valid
594.0ms	16095×	pre	80	true
450.0ms	2850×	body	160	valid
154.0ms	501×	body	640	valid
59.0ms	946×	body	80	valid