Details

Time bar (total: 13.3s)

sample243.0ms

Algorithm
intervals
Results
69.0ms518×pre80true
29.0ms113×body320valid
22.0ms262×body80nan
17.0ms107×body160valid
3.0msbody640valid
2.0ms28×body80valid

simplify121.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
01417
12417
24416
37916
49916
510716
done10716

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.9b

localize15.0ms

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))
30.5b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite193.0ms

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)))
16.0ms
(- (* b b) (* (* 4.0 a) c))
109.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
54.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series426.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
60.0ms
(- (* b b) (* (* 4.0 a) c))
144.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
104.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify1.1s

Counts
84 → 84
Iterations

Useful iterations: 2 (313.0ms)

IterNodesCost
01541592
14051496
217831332
done50021332

prune334.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.6b

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

prune54.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.6b

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))

rewrite77.0ms

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:
26.0ms
(/ (* a c) b)
46.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

series62.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (* a c) b)
37.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

simplify1.3s

Counts
57 → 57
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0107782
1345751
22490569
done5001543

prune151.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.6b

localize15.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* -2.0 (* (* a c) (/ 1 b))) (* 2.0 a))
0.3b
(* (* a c) (/ 1 b))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
120×add-exp-log
70×add-cbrt-cube
64×prod-exp
34×cbrt-unprod
32×div-exp
18×cbrt-undiv
13×associate-*r*
10×times-frac
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1
rec-exp 1-exp
associate-*r/
pow-prod-down
un-div-inv div-inv associate-/l/ add-log-exp
frac-2neg associate-*l* clear-num associate-/r* *-commutative associate-/l*
Counts
2 → 85
Calls
2 calls:
88.0ms
(/ (* -2.0 (* (* a c) (/ 1 b))) (* 2.0 a))
38.0ms
(* (* a c) (/ 1 b))

series66.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ (* -2.0 (* (* a c) (/ 1 b))) (* 2.0 a))
27.0ms
(* (* a c) (/ 1 b))

simplify3.6s

Counts
91 → 91
Iterations

Useful iterations: 2 (853.0ms)

IterNodesCost
01671486
15981336
24493881
done5000881

prune192.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.6b

regimes329.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.7b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample4.9s

Algorithm
intervals
Results
1.1s2945×body160valid
962.0ms3682×body320valid
789.0ms8139×body80nan
635.0ms16139×pre80true
579.0ms479×body640valid
117.0ms894×body80valid