Details

Time bar (total: 6.7s)

sample61.0ms

Algorithm
intervals
Results
12.0ms130×body320valid
8.0ms498×pre80true
7.0ms242×body80nan
5.0ms18×body640valid
5.0ms76×body160valid
1.0ms32×body80valid

simplify63.0ms

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: 53.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
26.4b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite141.0ms

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:
9.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
8.0ms
(- (* b b) (* (* 4.0 a) c))
79.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
43.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series326.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
53.0ms
(- (* b b) (* (* 4.0 a) c))
112.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
83.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify2.2s

Counts
84 → 84
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
01541592
13861488
212341332
346461324
done50001324

prune231.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.2b

localize4.0ms

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

prune21.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.2b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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:
22.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))
10.0ms
(/ (* a c) b)

series46.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))
21.0ms
(/ (* a c) b)

simplify652.0ms

Counts
57 → 57
Iterations

Useful iterations: 2 (193.0ms)

IterNodesCost
0107782
1310751
21621523
done5001523

prune105.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 2.2b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
18×prod-exp cbrt-unprod
cbrt-undiv div-exp
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:
32.0ms
(/ (* -2.0 (* a c)) (* (* 2.0 a) b))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(/ (* -2.0 (* a c)) (* (* 2.0 a) b))

simplify860.0ms

Counts
34 → 34
Iterations

Useful iterations: 2 (253.0ms)

IterNodesCost
086643
1278616
22041396
done5001396

prune34.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 2.2b

regimes166.0ms

Accuracy

0% (3.7b remaining)

Error of 6.5b against oracle of 2.7b and baseline of 6.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample1.7s

Algorithm
intervals
Results
354.0ms3616×body320valid
277.0ms16243×pre80true
264.0ms8243×body80nan
194.0ms2887×body160valid
69.0ms517×body640valid
36.0ms980×body80valid