Details

Time bar (total: 13.0s)

sample277.0ms

Algorithm
intervals
Results
82.0ms105×body320valid
27.0ms282×body80nan
26.0ms538×pre80true
23.0ms105×body160valid
8.0ms20×body640valid
3.0ms26×body80valid

simplify140.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
01417
12417
24416
37816
49116
59916
done9916

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.7b

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))
27.6b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite233.0ms

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:
19.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
16.0ms
(- (* b b) (* (* 4.0 a) c))
91.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
98.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series531.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
83.0ms
(- (* b b) (* (* 4.0 a) c))
183.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
145.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify3.6s

Counts
84 → 84
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
01541592
13861488
212341332
346461324
done50001324

prune400.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.1b

localize9.0ms

rewrite0.0ms

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

prune41.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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
(/ (* a c) b)
24.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

series58.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (* a c) b)
25.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

simplify1.1s

Counts
57 → 57
Iterations

Useful iterations: 2 (257.0ms)

IterNodesCost
0107782
1310751
21631523
done5000523

prune129.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 3.1b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite61.0ms

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:
58.0ms
(/ (* -2.0 (* a c)) (* (* 2.0 a) b))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(/ (* -2.0 (* a c)) (* (* 2.0 a) b))

simplify1.3s

Counts
34 → 34
Iterations

Useful iterations: 2 (395.0ms)

IterNodesCost
086643
1278616
22041396
done5001396

prune49.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 3.1b

regimes285.0ms

Accuracy

0% (3.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample4.6s

Algorithm
intervals
Results
1.2s16258×pre80true
1.1s3715×body320valid
857.0ms8258×body80nan
542.0ms2936×body160valid
184.0ms455×body640valid
121.0ms894×body80valid