Details

Time bar (total: 5.8s)

sample50.0ms

Algorithm
intervals
Results
10.0ms146×body160valid
10.0ms543×pre80true
9.0ms287×body80nan
4.0ms110×body80valid

simplify50.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01417
12417
24416
37816
49016
59816
done9816

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
0.2b
(- (* b b) (* (* 4.0 a) c))
29.5b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
121×add-sqr-sqrt
94×*-un-lft-identity
68×add-cube-cbrt
26×difference-of-squares
22×associate-/l*
16×sqrt-prod
13×distribute-lft-out--
9×add-exp-log add-cbrt-cube
8×add-log-exp
5×pow1 div-inv
3×cbrt-undiv flip3-- div-exp associate-/r* flip--
2×sub-neg sqrt-div diff-log div-sub
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
Counts
4 → 149
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
38.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
3.0ms
(- (* b b) (* (* 4.0 a) c))
22.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series306.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
107.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
47.0ms
(- (* b b) (* (* 4.0 a) c))
80.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify825.0ms

Counts
161 → 161
Iterations

Useful iterations: done (820.0ms)

IterNodesCost
02804083
16653911
219753753
done50003752

prune434.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.9b

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)

IterNodesCost
000
done00

prune52.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 8.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-exp-log add-cbrt-cube
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×cbrt-undiv div-exp
8×associate-/l*
6×associate-/r* div-inv
5×prod-exp cbrt-unprod
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 73
Calls
2 calls:
3.0ms
(/ (* a c) b)
10.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

series43.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* a c) b)
21.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

simplify643.0ms

Counts
79 → 79
Iterations

Useful iterations: 2 (183.0ms)

IterNodesCost
01671164
14401118
21795956
done5001956

prune222.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 8.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (/ b (* a c)))
0.3b
(/ (/ (* -2.0 (/ 1 (/ b (* a c)))) 2.0) a)
0.3b
(/ b (* a c))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
86×add-exp-log
69×times-frac
49×div-exp
44×add-cbrt-cube
37×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
23×cbrt-undiv
17×prod-exp
13×associate-/l*
11×associate-/r* div-inv
7×cbrt-unprod
6×rec-exp 1-exp
4×pow1
3×frac-2neg clear-num add-log-exp
1×pow-flip associate-/r/ associate-/l/ inv-pow
Counts
3 → 137
Calls
3 calls:
7.0ms
(/ 1 (/ b (* a c)))
17.0ms
(/ (/ (* -2.0 (/ 1 (/ b (* a c)))) 2.0) a)
3.0ms
(/ b (* a c))

series61.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(/ 1 (/ b (* a c)))
16.0ms
(/ (/ (* -2.0 (/ 1 (/ b (* a c)))) 2.0) a)
23.0ms
(/ b (* a c))

simplify859.0ms

Counts
146 → 146
Iterations

Useful iterations: 2 (343.0ms)

IterNodesCost
02602152
16821945
221891511
done50001511

prune201.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 8.8b

regimes536.0ms

Accuracy

47.8% (7.3b remaining)

Error of 16.3b against oracle of 9.0b and baseline of 22.9b

bsearch4.0ms

Steps
ItersRangePoint
0
896.7681778365687
913.142607664564
904.9553927505664

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02639
13239
done3239

end0.0ms

sample1.4s

Algorithm
intervals
Results
305.0ms4417×body160valid
298.0ms16822×pre80true
293.0ms8822×body80nan
131.0ms3583×body80valid