Details

Time bar (total: 11.5s)

sample114.0ms

Algorithm
intervals
Results
22.0ms313×body80nan
20.0ms135×body160valid
19.0ms121×body80valid
19.0ms569×pre80true

simplify92.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
01417
12417
24416
37816
49116
59916
done9916

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.3b

localize24.0ms

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))
0.3b
(- (* b b) (* (* 4.0 a) c))
27.1b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite245.0ms

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:
11.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
150.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
10.0ms
(- (* b b) (* (* 4.0 a) c))
72.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series444.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
160.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
73.0ms
(- (* b b) (* (* 4.0 a) c))
104.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify2.9s

Counts
84 → 84
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
01541592
13861488
212331332
346451324
done50021324

prune310.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.4b

localize6.0ms

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)

IterNodesCost
000
done00

prune55.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 8.4b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

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:
15.0ms
(/ (* a c) b)
37.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

series72.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (* a c) b)
35.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

simplify1.1s

Counts
57 → 57
Iterations

Useful iterations: 2 (319.0ms)

IterNodesCost
0107782
1310751
21631523
done5000523

prune144.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 8.3b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
128×add-exp-log
62×add-cbrt-cube
60×div-exp
41×prod-exp
37×times-frac
27×cbrt-undiv
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×cbrt-unprod
9×rec-exp 1-exp associate-/r*
7×div-inv associate-/l*
4×pow1
3×frac-2neg clear-num add-log-exp
2×associate-/l/
1×pow-flip associate-*r/ associate-/r/ un-div-inv inv-pow
Counts
3 → 124
Calls
3 calls:
57.0ms
(/ (* -2.0 (/ 1 (/ b (* a c)))) (* 2.0 a))
8.0ms
(/ b (* a c))
16.0ms
(/ 1 (/ b (* a c)))

series78.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ (* -2.0 (/ 1 (/ b (* a c)))) (* 2.0 a))
28.0ms
(/ b (* a c))
27.0ms
(/ 1 (/ b (* a c)))

simplify1.2s

Counts
133 → 133
Iterations

Useful iterations: 2 (353.0ms)

IterNodesCost
02021894
15021668
220361188
done50021188

prune146.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 8.3b

regimes558.0ms

Accuracy

43.8% (7.7b remaining)

Error of 16.8b against oracle of 9.1b and baseline of 22.8b

bsearch20.0ms

Steps
ItersRangePoint
2
21798.380384010838
25007.94249627011
22199.575648043246

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02639
13339
done3339

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.2s16809×pre80true
1.1s4481×body160valid
778.0ms8809×body80nan
250.0ms3519×body80valid