Details

Time bar (total: 13.0s)

sample128.0ms

Algorithm
intervals
Results
27.0ms516×pre80true
24.0ms148×body160valid
20.0ms260×body80nan
10.0ms42×body320valid
5.0ms66×body80valid

simplify139.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
01417
12417
24416
37816
49116
59916
done9916

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.8b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
0.1b
(- (* b b) (* (* 4.0 a) c))
37.2b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×*-un-lft-identity
add-exp-log add-cbrt-cube
add-log-exp
add-cube-cbrt
times-frac sqrt-prod associate-/l* difference-of-squares
pow1
flip3-- flip--
distribute-lft-out--
cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
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:
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
135.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
9.0ms
(- (* b b) (* (* 4.0 a) c))
74.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series386.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
145.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
66.0ms
(- (* b b) (* (* 4.0 a) c))
90.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify3.1s

Counts
84 → 84
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
01541592
13861488
212331332
346451324
done50021324

prune403.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.1b

localize9.0ms

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

prune60.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.1b

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)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log add-cbrt-cube
14×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
pow1 frac-2neg clear-num div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 51
Calls
2 calls:
44.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))
11.0ms
(/ (* a c) b)

series52.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))
29.0ms
(/ (* a c) b)

simplify969.0ms

Counts
57 → 57
Iterations

Useful iterations: 2 (272.0ms)

IterNodesCost
0107782
1310751
21621523
done5001523

prune207.0ms

Pruning

25 alts after pruning (23 fresh and 2 done)

Merged error: 5.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
44×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
39×add-exp-log add-cbrt-cube
17×cbrt-undiv div-exp
14×associate-/r*
10×prod-exp cbrt-unprod
div-inv
associate-/l*
pow1 frac-2neg clear-num add-log-exp
associate-*r/ associate-/r/ associate-/l/
Counts
2 → 100
Calls
2 calls:
36.0ms
(/ (* -2.0 (/ a (/ b c))) (* 2.0 a))
9.0ms
(/ a (/ b c))

series89.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (* -2.0 (/ a (/ b c))) (* 2.0 a))
40.0ms
(/ a (/ b c))

simplify1.5s

Counts
106 → 106
Iterations

Useful iterations: 2 (395.0ms)

IterNodesCost
02101478
15131387
221901149
done50001149

prune291.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 5.0b

regimes563.0ms

Accuracy

13.9% (6.1b remaining)

Error of 11.3b against oracle of 5.2b and baseline of 12.3b

bsearch64.0ms

Steps
ItersRangePoint
6
0.0015991185291722328
0.0064842211682737015
0.0016145486991948593

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02639
13339
done3339

end0.0ms

sample4.6s

Algorithm
intervals
Results
1.4s16379×pre80true
1.3s4832×body160valid
644.0ms8379×body80nan
312.0ms1311×body320valid
139.0ms1857×body80valid