Details

Time bar (total: 6.5s)

sample54.0ms

Algorithm
intervals
Results
10.0ms152×body160valid
9.0ms300×body80nan
9.0ms556×pre80true
4.0ms104×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: 29.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b
(- (* b b) (* (* 4.0 a) c))
0.3b
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
28.8b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-log-exp
7×add-cube-cbrt
6×times-frac sqrt-prod associate-/l* difference-of-squares
5×pow1
4×flip3-- flip--
3×distribute-lft-out--
2×cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
1×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:
8.0ms
(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))
39.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series302.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
44.0ms
(- (* b b) (* (* 4.0 a) c))
105.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
81.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify2.0s

Counts
84 → 84
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
01541592
13861488
212341332
346461324
done50001324

prune222.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 9.5b

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

prune40.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 9.5b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log add-cbrt-cube
14×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×pow1 frac-2neg clear-num div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 51
Calls
2 calls:
12.0ms
(/ (* a c) b)
21.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

series41.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (* a c) b)
21.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

simplify690.0ms

Counts
57 → 57
Iterations

Useful iterations: 2 (193.0ms)

IterNodesCost
0107782
1310751
21631523
done5000523

prune127.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 9.4b

localize7.0ms

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
9×cbrt-undiv div-exp
1×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))

simplify833.0ms

Counts
34 → 34
Iterations

Useful iterations: 2 (245.0ms)

IterNodesCost
086643
1278616
22041396
done5001396

prune32.0ms

Pruning

28 alts after pruning (26 fresh and 2 done)

Merged error: 9.4b

regimes349.0ms

Accuracy

46% (7.4b remaining)

Error of 16.4b against oracle of 9.0b and baseline of 22.8b

bsearch3.0ms

Steps
ItersRangePoint
0
137.45876142290564
143.5008573675492
140.47980939522742

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02139
12639
done2639

end0.0ms

sample1.4s

Algorithm
intervals
Results
295.0ms4483×body160valid
279.0ms8648×body80nan
275.0ms16648×pre80true
117.0ms3517×body80valid