Details

Time bar (total: 6.5s)

sample58.0ms

Algorithm
intervals
Results
11.0ms519×pre80true
10.0ms164×body160valid
9.0ms263×body80nan
4.0ms41×body320valid
2.0ms51×body80valid

simplify64.0ms

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: 45.4b

localize10.0ms

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))
41.0b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite137.0ms

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)))
7.0ms
(- (* b b) (* (* 4.0 a) c))
78.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
41.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series314.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
51.0ms
(- (* b b) (* (* 4.0 a) c))
109.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
83.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify2.1s

Counts
84 → 84
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
01541592
13861488
212341332
346461324
done50001324

prune231.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.7b

localize3.0ms

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

prune27.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.7b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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:
21.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))
12.0ms
(/ (* a c) b)

series42.0ms

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

simplify671.0ms

Counts
57 → 57
Iterations

Useful iterations: 2 (197.0ms)

IterNodesCost
0107782
1310751
21621523
done5001523

prune117.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 4.7b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite32.0ms

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:
31.0ms
(/ (* -2.0 (* a c)) (* (* 2.0 a) b))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(/ (* -2.0 (* a c)) (* (* 2.0 a) b))

simplify872.0ms

Counts
34 → 34
Iterations

Useful iterations: 2 (248.0ms)

IterNodesCost
086643
1278616
22041396
done5001396

prune32.0ms

Pruning

23 alts after pruning (21 fresh and 2 done)

Merged error: 4.7b

regimes236.0ms

Accuracy

11.9% (6.1b remaining)

Error of 11.2b against oracle of 5.1b and baseline of 12.0b

bsearch10.0ms

Steps
ItersRangePoint
1
0.0009123898704921593
0.0009468676847004557
0.0009210093240442334

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02139
12639
done2639

end0.0ms

sample1.5s

Algorithm
intervals
Results
320.0ms4882×body160valid
274.0ms16217×pre80true
255.0ms8217×body80nan
129.0ms1310×body320valid
60.0ms1808×body80valid