Details

Time bar (total: 14.9s)

sample244.0ms

Algorithm
intervals
Results
76.0ms534×pre80true
26.0ms121×body320valid
22.0ms278×body80nan
11.0ms85×body160valid
5.0ms19×body640valid
2.0ms31×body80valid

simplify142.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
01417
12417
24416
37816
49116
59916
done9916

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.8b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.0b
(- (* b b) (* (* 4.0 a) c))
0.1b
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
25.9b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite307.0ms

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:
19.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
18.0ms
(- (* b b) (* (* 4.0 a) c))
178.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
83.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series551.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
70.0ms
(- (* b b) (* (* 4.0 a) c))
185.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
168.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify3.7s

Counts
84 → 84
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
01541592
13861488
212341332
346461324
done50001324

prune396.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.7b

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

prune43.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.7b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

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:
16.0ms
(/ (* a c) b)
42.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

series48.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* a c) b)
25.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

simplify1.3s

Counts
57 → 57
Iterations

Useful iterations: 2 (351.0ms)

IterNodesCost
0107782
1310751
21631523
done5000523

prune229.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.7b

localize18.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* -2.0 (/ (/ (* a c) (sqrt b)) (sqrt b))) (* 2.0 a))
0.3b
(/ (* a c) (sqrt b))
0.4b
(/ (/ (* a c) (sqrt b)) (sqrt b))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
109×times-frac
62×add-exp-log add-cbrt-cube
60×sqrt-prod
50×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×cbrt-undiv div-exp
17×prod-exp cbrt-unprod
13×associate-/r*
12×associate-/l*
10×div-inv
pow1 frac-2neg clear-num add-log-exp
associate-/l/
associate-*r/
Counts
3 → 154
Calls
3 calls:
69.0ms
(/ (* -2.0 (/ (/ (* a c) (sqrt b)) (sqrt b))) (* 2.0 a))
23.0ms
(/ (* a c) (sqrt b))
24.0ms
(/ (/ (* a c) (sqrt b)) (sqrt b))

series176.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ (* -2.0 (/ (/ (* a c) (sqrt b)) (sqrt b))) (* 2.0 a))
69.0ms
(/ (* a c) (sqrt b))
50.0ms
(/ (/ (* a c) (sqrt b)) (sqrt b))

simplify2.0s

Counts
163 → 163
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02472844
16692325
226951902
done50001880

prune348.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.7b

regimes327.0ms

Accuracy

0% (3.7b remaining)

Error of 6.4b against oracle of 2.7b and baseline of 6.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample4.9s

Algorithm
intervals
Results
1.3s16339×pre80true
950.0ms3606×body320valid
862.0ms8339×body80nan
599.0ms2912×body160valid
528.0ms508×body640valid
73.0ms974×body80valid