Details

sample96.0ms

Algorithm

intervals

Results

25.0ms	144×	body	160	valid
16.0ms	504×	pre	80	true
16.0ms	248×	body	80	nan
8.0ms	112×	body	80	valid

simplify124.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	12	17
1	21	17
2	41	16
3	76	16
4	96	16
5	104	16
done	104	16

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.8b

localize13.0ms

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)
27.7b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
18×	`times-frac`
16×	`add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube`
10×	`difference-of-squares`
9×	`pow1`
8×	`add-log-exp`
6×	`associate-/l*`
5×	`sqrt-prod` `distribute-lft-out--`
3×	`flip3--` `associate-r` `pow-prod-down` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod`
2×	`sub-neg` `diff-log` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `associate-l` `clear-num` `*-commutative` `div-inv`

Counts

4 → 87

Calls

4 calls:

19.0ms	(- (* b b) (* (* 3.0 a) c))
21.0ms	(* (* 3.0 a) c)
84.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
50.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series323.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (* b b) (* (* 3.0 a) c))
23.0ms	(* (* 3.0 a) c)
120.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
126.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.5s

Counts

99 → 99

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	163	1756
1	420	1678
2	1977	1552
done	5000	1550

prune389.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 9.8b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

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:

41.0ms	(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
20.0ms	(/ (* -1.5 (/ (* a c) b)) 3.0)
29.0ms	(* -1.5 (/ (* a c) b))
20.0ms	(/ (* a c) b)

series144.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
42.0ms	(/ (* -1.5 (/ (* a c) b)) 3.0)
34.0ms	(* -1.5 (/ (* a c) b))
41.0ms	(/ (* a c) b)

simplify1.7s

Counts

138 → 138

Iterations

Useful iterations: 2 (485.0ms)

Iter	Nodes	Cost
0	192	1856
1	531	1788
2	3241	1540
done	5001	1540

prune448.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 9.6b

localize8.0ms

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

prune127.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 9.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(/ (/ (* a c) b) (sqrt 3.0))
0.4b	(* (/ -1.5 (sqrt 3.0)) (/ (/ (/ (* a c) b) (sqrt 3.0)) a))
1.0b	(/ -1.5 (sqrt 3.0))

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

443×	`times-frac`
239×	`add-sqr-sqrt`
192×	`add-cube-cbrt` `*-un-lft-identity`
142×	`associate-r`
115×	`sqrt-prod`
65×	`add-exp-log` `add-cbrt-cube`
33×	`div-inv`
31×	`cbrt-undiv` `div-exp`
22×	`associate-l`
15×	`associate-/r*`
14×	`prod-exp` `cbrt-unprod`
12×	`unswap-sqr`
11×	`associate-/l*`
6×	`pow1`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 340

Calls

4 calls:

10.0ms	(/ (* a c) b)
27.0ms	(/ (/ (* a c) b) (sqrt 3.0))
176.0ms	(* (/ -1.5 (sqrt 3.0)) (/ (/ (/ (* a c) b) (sqrt 3.0)) a))
20.0ms	(/ -1.5 (sqrt 3.0))

series525.0ms

Counts

4 → 10

Calls

4 calls:

47.0ms	(/ (* a c) b)
182.0ms	(/ (/ (* a c) b) (sqrt 3.0))
296.0ms	(* (/ -1.5 (sqrt 3.0)) (/ (/ (/ (* a c) b) (sqrt 3.0)) a))
0.0ms	(/ -1.5 (sqrt 3.0))

simplify1.2s

Counts

350 → 350

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	507	6012
1	1807	5482
done	5000	5164

prune1.3s

Pruning

38 alts after pruning (37 fresh and 1 done)

Merged error: 9.6b

regimes869.0ms

Accuracy

43.6% (7.9b remaining)

Error of 16.9b against oracle of 9.0b and baseline of 23.0b

bsearch6.0ms

Steps

Iters	Range		Point
0	21693.08838059403	22389.62458407597	22041.356482335

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	39
1	26	39
done	26	39

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.1s	8477×	body	80	nan
765.0ms	16477×	pre	80	true
725.0ms	4424×	body	160	valid
268.0ms	3576×	body	80	valid