Details

sample111.0ms

Algorithm

intervals

Results

27.0ms	119×	body	320	valid
16.0ms	469×	pre	80	true
15.0ms	213×	body	80	nan
15.0ms	98×	body	160	valid
3.0ms	11×	body	640	valid
2.0ms	28×	body	80	valid

simplify114.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	12	17
1	21	17
2	41	16
3	75	16
4	88	16
5	96	16
done	96	16

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 53.4b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
0.1b	(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
0.3b	(* (* 3.0 a) c)
28.7b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite353.0ms

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-exp-log` `add-cbrt-cube`
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×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`sub-neg` `diff-log` `associate-l` `*-commutative`

Counts

4 → 182

Calls

4 calls:

121.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
128.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
32.0ms	(* (* 3.0 a) c)
52.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series464.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
156.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
23.0ms	(* (* 3.0 a) c)
137.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify2.2s

Counts

194 → 194

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	287	4775
1	689	4627
2	1984	4417
done	5000	4407

prune821.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.5b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune30.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.5b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log` `add-cbrt-cube`
42×	`times-frac`
29×	`add-sqr-sqrt`
27×	`add-cube-cbrt` `*-un-lft-identity`
21×	`cbrt-undiv` `div-exp`
13×	`prod-exp` `cbrt-unprod`
9×	`associate-/r` `associate-/l`
8×	`div-inv`
7×	`associate-r`
6×	`pow1`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`associate-*r/` `associate-/l/`
1×	`pow-prod-down` `*-commutative` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

39.0ms	(/ (* -1.5 (/ (* a c) b)) 3.0)
44.0ms	(* -1.5 (/ (* a c) b))
20.0ms	(/ (* a c) b)
47.0ms	(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)

series186.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ (* -1.5 (/ (* a c) b)) 3.0)
58.0ms	(* -1.5 (/ (* a c) b))
35.0ms	(/ (* a c) b)
39.0ms	(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)

simplify1.1s

Counts

138 → 138

Iterations

Useful iterations: 2 (339.0ms)

Iter	Nodes	Cost
0	192	1856
1	482	1786
2	1836	1478
done	5000	1478

prune406.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.4b

localize23.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(/ (* -0.5 (/ (* a c) b)) a)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

20.0ms	(/ (* a c) b)
39.0ms	(/ (* -0.5 (/ (* a c) b)) a)

series76.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (* a c) b)
39.0ms	(/ (* -0.5 (/ (* a c) b)) a)

simplify1.5s

Counts

53 → 53

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	97	568
1	253	547
2	1082	427
done	5001	353

prune113.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 2.4b

regimes296.0ms

Accuracy

0% (3.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.1s	2953×	body	160	valid
1.0s	3651×	body	320	valid
748.0ms	16038×	pre	80	true
630.0ms	8038×	body	80	nan
140.0ms	487×	body	640	valid
63.0ms	909×	body	80	valid