Details

sample52.0ms

Algorithm

intervals

Results

13.0ms	136×	body	320	valid
9.0ms	487×	pre	80	true
7.0ms	231×	body	80	nan
6.0ms	88×	body	160	valid
1.0ms	10×	body	640	valid
1.0ms	22×	body	80	valid

simplify43.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	12	17
1	21	17
2	41	16
3	75	16
4	87	16
5	95	16
done	95	16

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.9b

localize9.0ms

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)
26.0b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-exp-log` `add-cbrt-cube`
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×	`frac-2neg` `div-sub` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

4 → 75

Calls

4 calls:

2.0ms	(- (* b b) (* (* 3.0 a) c))
35.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
6.0ms	(* (* 3.0 a) c)
20.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series247.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* b b) (* (* 3.0 a) c))
103.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
19.0ms	(* (* 3.0 a) c)
79.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify820.0ms

Counts

87 → 87

Iterations

Useful iterations: done (818.0ms)

Iter	Nodes	Cost
0	155	1464
1	402	1392
2	1573	1226
done	5000	1225

prune221.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.5b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune24.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.5b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`times-frac` `associate-r`
5×	`pow1`
4×	`associate-/r*`
3×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-r/` `clear-num` `associate-/l`
1×	`pow-prod-down` `*-commutative` `associate-/l/` `unswap-sqr`

Counts

3 → 78

Calls

3 calls:

3.0ms	(/ (* a c) b)
8.0ms	(* -1.5 (/ (* a c) b))
8.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series68.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(/ (* a c) b)
30.0ms	(* -1.5 (/ (* a c) b))
20.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify528.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (157.0ms)

Iter	Nodes	Cost
0	123	1086
1	377	1045
2	1876	761
done	5000	761

prune151.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.5b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

70×	`times-frac`
52×	`add-exp-log` `add-cbrt-cube`
44×	`add-sqr-sqrt`
39×	`add-cube-cbrt` `*-un-lft-identity`
26×	`associate-r`
22×	`cbrt-undiv` `div-exp`
12×	`prod-exp` `cbrt-unprod`
11×	`associate-/r*` `div-inv`
7×	`associate-/l*`
6×	`pow1`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num` `associate-/r/`
2×	`associate-*r/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 146

Calls

4 calls:

9.0ms	(/ -1.5 (* 3.0 (/ a (/ (* a c) b))))
4.0ms	(/ a (/ (* a c) b))
3.0ms	(/ (* a c) b)
15.0ms	(* 3.0 (/ a (/ (* a c) b)))

series70.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ -1.5 (* 3.0 (/ a (/ (* a c) b))))
8.0ms	(/ a (/ (* a c) b))
19.0ms	(/ (* a c) b)
23.0ms	(* 3.0 (/ a (/ (* a c) b)))

simplify682.0ms

Counts

158 → 158

Iterations

Useful iterations: done (678.0ms)

Iter	Nodes	Cost
0	210	1957
1	550	1871
2	1986	1325
done	5001	1323

prune288.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 2.5b

regimes314.0ms

Accuracy

0% (3.6b remaining)

Error of 6.3b against oracle of 2.7b and baseline of 6.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.5s

Algorithm

intervals

Results

354.0ms	3624×	body	320	valid
295.0ms	16060×	pre	80	true
253.0ms	8060×	body	80	nan
188.0ms	2912×	body	160	valid
68.0ms	533×	body	640	valid
31.0ms	931×	body	80	valid