Details

Time bar (total: 1.2m)

sample2.7s

Algorithm
intervals
Results
1.3s96×body160valid
221.0ms123×body320valid
87.0ms261×body80nan
81.0ms517×pre80true
10.0ms27×body80valid
5.0ms10×body640valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 2 (174.0ms)

IterNodesCost
01417
12417
24416
37916
49916
510716
done10716

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.5b

localize33.0ms

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))
26.0b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite1.0s

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:
12.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
42.0ms
(- (* b b) (* (* 4.0 a) c))
602.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
154.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series1.6s

Counts
4 → 12
Calls
4 calls:
285.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
111.0ms
(- (* b b) (* (* 4.0 a) c))
435.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
724.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify4.8s

Counts
84 → 84
Iterations

Useful iterations: 2 (2.1s)

IterNodesCost
01541592
14051496
217831332
done50021332

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.9b

localize19.0ms

rewrite3.0ms

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

prune135.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.9b

localize76.0ms

Local error

Found 2 expressions with local error:

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

rewrite85.0ms

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:
49.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))
32.0ms
(/ (* a c) b)

series102.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))
61.0ms
(/ (* a c) b)

simplify6.4s

Counts
57 → 57
Iterations

Useful iterations: done (6.4s)

IterNodesCost
0107782
1346751
22499551
done5001523

prune917.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 1.8b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite194.0ms

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:
143.0ms
(/ (* -2.0 (* a c)) (* (* 2.0 a) b))

series141.0ms

Counts
1 → 3
Calls
1 calls:
141.0ms
(/ (* -2.0 (* a c)) (* (* 2.0 a) b))

simplify4.7s

Counts
34 → 34
Iterations

Useful iterations: 2 (972.0ms)

IterNodesCost
086643
1309616
22437396
done5000396

prune107.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 1.8b

regimes1.4s

Accuracy

0% (3.4b remaining)

Error of 6.1b against oracle of 2.7b and baseline of 6.1b

bsearch0.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end5.0ms

sample42.6s

Algorithm
intervals
Results
17.1s3716×body320valid
10.0s2906×body160valid
8.2s16067×pre80true
3.7s8067×body80nan
2.1s486×body640valid
198.0ms892×body80valid