Details

Time bar (total: 1.1m)

sample250.0ms

Algorithm
intervals
Results
60.0ms283×body80nan
57.0ms158×body160valid
34.0ms48×body320valid
21.0ms539×pre80true
6.0ms50×body80valid

simplify320.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
01417
12417
24416
37916
49916
510716
done10716

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.2b
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
40.4b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite517.0ms

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:
58.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
56.0ms
(- (* b b) (* (* 4.0 a) c))
184.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
203.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series1.4s

Counts
4 → 12
Calls
4 calls:
450.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
220.0ms
(- (* b b) (* (* 4.0 a) c))
474.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
214.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify4.2s

Counts
84 → 84
Iterations

Useful iterations: 2 (828.0ms)

IterNodesCost
01541592
14051496
217831332
done50021332

prune1.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.9b

localize11.0ms

rewrite3.0ms

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

prune322.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.9b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite336.0ms

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:
45.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))
21.0ms
(/ (* a c) b)

series139.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))
88.0ms
(/ (* a c) b)

simplify6.6s

Counts
57 → 57
Iterations

Useful iterations: done (6.5s)

IterNodesCost
0107782
1346751
22499551
done5001523

prune955.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 5.9b

localize48.0ms

Local error

Found 1 expressions with local error:

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

rewrite484.0ms

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:
431.0ms
(/ (* -2.0 (* a c)) (* (* 2.0 a) b))

series185.0ms

Counts
1 → 3
Calls
1 calls:
185.0ms
(/ (* -2.0 (* a c)) (* (* 2.0 a) b))

simplify7.1s

Counts
34 → 34
Iterations

Useful iterations: 2 (2.0s)

IterNodesCost
086643
1309616
22437396
done5000396

prune264.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 5.9b

regimes2.1s

Accuracy

0% (6.7b remaining)

Error of 11.7b against oracle of 5.0b and baseline of 11.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample37.1s

Algorithm
intervals
Results
13.1s16424×pre80true
12.1s8424×body80nan
7.1s4900×body160valid
2.2s1354×body320valid
1.1s1746×body80valid