Details

Time bar (total: 11.7s)

sample107.0ms

Algorithm
intervals
Results
22.0ms518×pre80true
20.0ms142×body160valid
19.0ms262×body80nan
9.0ms114×body80valid

simplify136.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01417
12417
24416
37816
49116
59916
done9916

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b
(- (* b b) (* (* 4.0 a) c))
0.3b
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
28.4b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite229.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-log-exp
7×add-cube-cbrt
6×times-frac sqrt-prod associate-/l* difference-of-squares
5×pow1
4×flip3-- flip--
3×distribute-lft-out--
2×cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 72
Calls
4 calls:
18.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
17.0ms
(- (* b b) (* (* 4.0 a) c))
119.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
70.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series372.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
49.0ms
(- (* b b) (* (* 4.0 a) c))
142.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
101.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify3.3s

Counts
84 → 84
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
01541592
13861488
212341332
346461324
done50001324

prune364.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.8b

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune55.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 8.8b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log add-cbrt-cube
14×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×pow1 frac-2neg clear-num div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 51
Calls
2 calls:
41.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))
10.0ms
(/ (* a c) b)

series53.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))
23.0ms
(/ (* a c) b)

simplify954.0ms

Counts
57 → 57
Iterations

Useful iterations: 2 (245.0ms)

IterNodesCost
0107782
1310751
21621523
done5001523

prune181.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 8.8b

localize9.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ (* -2.0 (* a c)) (* (* 2.0 a) b))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
18×prod-exp cbrt-unprod
9×cbrt-undiv div-exp
1×pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
1 → 31
Calls
1 calls:
41.0ms
(/ (* -2.0 (* a c)) (* (* 2.0 a) b))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(/ (* -2.0 (* a c)) (* (* 2.0 a) b))

simplify1.3s

Counts
34 → 34
Iterations

Useful iterations: 2 (330.0ms)

IterNodesCost
086643
1278616
22041396
done5001396

prune65.0ms

Pruning

26 alts after pruning (24 fresh and 2 done)

Merged error: 8.8b

regimes605.0ms

Accuracy

47.3% (7.2b remaining)

Error of 16.2b against oracle of 9.0b and baseline of 22.7b

bsearch25.0ms

Steps
ItersRangePoint
2
1430.9534847553177
1659.0567802753424
1459.4663966953208

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02139
12639
done2639

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.1s4462×body160valid
877.0ms8741×body80nan
676.0ms16741×pre80true
315.0ms3538×body80valid