Details

sample120.0ms

Algorithm

intervals

Results

24.0ms	300×	body	80	nan
23.0ms	140×	body	160	valid
21.0ms	556×	pre	80	true
10.0ms	116×	body	80	valid

simplify70.0ms

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: 27.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) a) 3.0)
26.8b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite157.0ms

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-cbrt-cube` `add-exp-log`
13×	`sqrt-prod` `distribute-lft-out--`
9×	`pow1`
8×	`add-log-exp`
5×	`div-inv`
3×	`cbrt-undiv` `associate-/r` `div-exp` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `flip3--` `diff-log` `div-sub` `flip--`
1×	`clear-num` `frac-2neg` `associate-l` `*-commutative` `associate-/l/`

Counts

4 → 152

Calls

4 calls:

6.0ms	(- (* b b) (* (* 3.0 a) c))
24.0ms	(* (* 3.0 a) c)
76.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) a) 3.0)
45.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series363.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (* b b) (* (* 3.0 a) c))
22.0ms	(* (* 3.0 a) c)
161.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) a) 3.0)
120.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.9s

Counts

164 → 164

Iterations

Iter	Nodes
done	5000
2	3797
1	726
0	285

prune967.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 9.6b

localize6.0ms

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

prune552.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 9.6b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

1152×	`times-frac`
464×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
114×	`associate-/l*`
76×	`div-inv`
52×	`add-cbrt-cube` `add-exp-log`
30×	`cbrt-undiv` `div-exp`
17×	`associate-/r/`
14×	`associate-/r*`
4×	`pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`associate-/l/`

Counts

4 → 547

Calls

4 calls:

57.0ms	(/ (/ (/ -1.5 (/ b (* a c))) a) 3.0)
11.0ms	(/ b (* a c))
10.0ms	(/ -1.5 (/ b (* a c)))
27.0ms	(/ (/ -1.5 (/ b (* a c))) a)

series128.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ (/ (/ -1.5 (/ b (* a c))) a) 3.0)
22.0ms	(/ b (* a c))
56.0ms	(/ -1.5 (/ b (* a c)))
32.0ms	(/ (/ -1.5 (/ b (* a c))) a)

simplify1.1s

Counts

559 → 559

Iterations

Iter	Nodes
done	5000
1	2314
0	904

prune3.8s

Pruning

40 alts after pruning (39 fresh and 1 done)

Merged error: 9.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (/ 1 (sqrt a)) (sqrt 3.0)) (* (/ (/ -1.5 b) (sqrt 3.0)) (/ (* c a) (sqrt a))))
0.3b	(/ (* c a) (sqrt a))
0.4b	(/ (/ 1 (sqrt a)) (sqrt 3.0))
0.4b	(/ (/ -1.5 b) (sqrt 3.0))

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

645×	`times-frac`
345×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
308×	`add-exp-log`
300×	`sqrt-prod`
190×	`add-cbrt-cube`
146×	`div-exp`
136×	`associate-l`
111×	`prod-exp`
83×	`cbrt-undiv`
67×	`cbrt-unprod`
36×	`associate-/l*`
24×	`div-inv`
18×	`associate-/r*`
11×	`rec-exp` `1-exp`
9×	`pow1`
5×	`frac-times` `associate-*r/`
4×	`add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down` `associate-*l/`
2×	`associate-/l/`
1×	`associate-r` `*-commutative`

Counts

4 → 550

Calls

4 calls:

144.0ms	(* (/ (/ 1 (sqrt a)) (sqrt 3.0)) (* (/ (/ -1.5 b) (sqrt 3.0)) (/ (* c a) (sqrt a))))
14.0ms	(/ (* c a) (sqrt a))
37.0ms	(/ (/ 1 (sqrt a)) (sqrt 3.0))
18.0ms	(/ (/ -1.5 b) (sqrt 3.0))

series683.0ms

Counts

4 → 12

Calls

4 calls:

362.0ms	(* (/ (/ 1 (sqrt a)) (sqrt 3.0)) (* (/ (/ -1.5 b) (sqrt 3.0)) (/ (* c a) (sqrt a))))
117.0ms	(/ (* c a) (sqrt a))
131.0ms	(/ (/ 1 (sqrt a)) (sqrt 3.0))
73.0ms	(/ (/ -1.5 b) (sqrt 3.0))

simplify1.1s

Counts

562 → 562

Iterations

Iter	Nodes
done	5000
1	2284
0	709

prune2.4s

Pruning

40 alts after pruning (39 fresh and 1 done)

Merged error: 9.3b

regimes1.1s

Accuracy

46% (7.6b remaining)

Error of 16.5b against oracle of 8.9b and baseline of 22.9b

bsearch5.0ms

Steps

Iters	Range		Point
0	700.5063928638829	720.2808939716874	710.3936434177851

simplify4.0ms

Iterations

Iter	Nodes
done	24
1	24
0	20

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.1s	8363×	body	80	nan
795.0ms	4422×	body	160	valid
690.0ms	16363×	pre	80	true
301.0ms	3578×	body	80	valid