Details

sample104.0ms

Algorithm

intervals

Results

31.0ms	143×	body	160	valid
15.0ms	239×	body	80	nan
15.0ms	495×	pre	80	true
9.0ms	50×	body	320	valid
4.0ms	63×	body	80	valid

simplify116.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 42.9b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
36.0b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
120×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
68×	`add-cube-cbrt`
26×	`difference-of-squares`
22×	`associate-/l*`
14×	`add-exp-log` `add-cbrt-cube`
13×	`sqrt-prod` `distribute-lft-out--`
9×	`pow1`
8×	`add-log-exp`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-r` `pow-prod-down` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`sub-neg` `flip3--` `diff-log` `div-sub` `flip--`
1×	`frac-2neg` `associate-l` `clear-num` `*-commutative` `associate-/l/`

Counts

4 → 152

Calls

4 calls:

13.0ms	(- (* b b) (* (* 3.0 a) c))
18.0ms	(* (* 3.0 a) c)
131.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
95.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series400.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (* b b) (* (* 3.0 a) c))
28.0ms	(* (* 3.0 a) c)
174.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
142.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.5s

Counts

164 → 164

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	287	3955
1	689	3815
2	2077	3647
done	5000	3641

prune586.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.4b

localize4.0ms

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

prune46.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 5.4b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

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:

53.0ms	(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
23.0ms	(* -1.5 (/ (* a c) b))
19.0ms	(/ (* -1.5 (/ (* a c) b)) 3.0)
17.0ms	(/ (* a c) b)

series130.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
35.0ms	(* -1.5 (/ (* a c) b))
31.0ms	(/ (* -1.5 (/ (* a c) b)) 3.0)
28.0ms	(/ (* a c) b)

simplify979.0ms

Counts

138 → 138

Iterations

Useful iterations: 2 (391.0ms)

Iter	Nodes	Cost
0	192	1856
1	482	1786
2	1823	1478
done	5001	1478

prune377.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 5.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ a (/ (* -1.5 (/ (* a c) b)) 3.0))
0.3b	(/ 1 (/ a (/ (* -1.5 (/ (* a c) b)) 3.0)))
0.3b	(/ (* -1.5 (/ (* a c) b)) 3.0)
0.3b	(/ (* a c) b)

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

237×	`times-frac`
112×	`add-exp-log`
107×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
70×	`add-cbrt-cube`
64×	`div-exp`
39×	`associate-/r*`
36×	`cbrt-undiv`
24×	`div-inv`
21×	`prod-exp`
13×	`cbrt-unprod`
8×	`associate-/l*`
6×	`rec-exp` `1-exp` `associate-/r/`
5×	`pow1`
4×	`frac-2neg` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-*r/` `associate-/l/` `inv-pow`

Counts

4 → 243

Calls

4 calls:

20.0ms	(/ a (/ (* -1.5 (/ (* a c) b)) 3.0))
58.0ms	(/ 1 (/ a (/ (* -1.5 (/ (* a c) b)) 3.0)))
41.0ms	(/ (* -1.5 (/ (* a c) b)) 3.0)
17.0ms	(/ (* a c) b)

series131.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ a (/ (* -1.5 (/ (* a c) b)) 3.0))
38.0ms	(/ 1 (/ a (/ (* -1.5 (/ (* a c) b)) 3.0)))
43.0ms	(/ (* -1.5 (/ (* a c) b)) 3.0)
27.0ms	(/ (* a c) b)

simplify1.4s

Counts

255 → 255

Iterations

Useful iterations: 2 (520.0ms)

Iter	Nodes	Cost
0	367	4831
1	855	4309
2	2705	3698
done	5001	3698

prune498.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 5.3b

regimes797.0ms

Accuracy

10.9% (6.2b remaining)

Error of 11.2b against oracle of 5.0b and baseline of 12.0b

bsearch18.0ms

Steps

Iters	Range		Point
2	0.07643269616958917	0.08881808742306811	0.07798087007627404

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	39
1	31	39
done	31	39

end0.0ms

sample3.3s

Algorithm

intervals

Results

935.0ms	8322×	body	80	nan
710.0ms	4852×	body	160	valid
537.0ms	16322×	pre	80	true
320.0ms	1371×	body	320	valid
99.0ms	1777×	body	80	valid