Details

Time bar (total: 14.6s)

sample159.0ms

Algorithm
intervals
Results
43.0ms291×body80nan
42.0ms149×body160valid
32.0ms547×pre80true
16.0ms107×body80valid

simplify84.0ms

Counts
1 → 1
Iterations
IterNodes
898
798
697
595
487
370
243
124
014

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.8b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4)))
0.2b
(- (* b b) (* (* c a) 4))
0.2b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
29.7b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite539.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
26×*-un-lft-identity
18×times-frac
16×add-cube-cbrt
10×difference-of-squares
8×sqrt-prod add-log-exp
6×add-cbrt-cube add-exp-log associate-/l*
5×pow1 distribute-lft-out--
4×flip3-- insert-posit16 flip--
3×associate-/r*
2×sub-neg sqrt-div diff-log associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp div-inv
Counts
4 → 88
Calls
4 calls:
12.0ms
(sqrt (- (* b b) (* (* c a) 4)))
11.0ms
(- (* b b) (* (* c a) 4))
91.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
46.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series440.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(sqrt (- (* b b) (* (* c a) 4)))
63.0ms
(- (* b b) (* (* c a) 4))
140.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
134.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.6s

Counts
100 → 100
Iterations
IterNodes
33594
21093
1398
0161

prune1.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 8.3b

localize18.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune82.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 8.3b

localize30.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* -2 (/ (* a c) b)) a)
0.3b
(/ (* a c) b)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
8×cbrt-undiv div-exp
6×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
5×prod-exp cbrt-unprod
2×pow1 clear-num frac-2neg insert-posit16 div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 49
Calls
2 calls:
39.0ms
(/ (* -2 (/ (* a c) b)) a)
18.0ms
(/ (* a c) b)

series75.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (* -2 (/ (* a c) b)) a)
38.0ms
(/ (* a c) b)

simplify2.9s

Counts
55 → 55
Iterations
IterNodes
36587
21060
1263
099

prune600.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 8.2b

localize23.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ -2 (/ (* b 1) c))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
17×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×add-exp-log
10×add-cbrt-cube
7×associate-/r* div-exp
5×cbrt-undiv div-inv
3×associate-/l*
2×prod-exp
1×pow1 clear-num frac-2neg 1-exp associate-/r/ cbrt-unprod insert-posit16 add-log-exp
Counts
1 → 50
Calls
1 calls:
11.0ms
(/ -2 (/ (* b 1) c))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(/ -2 (/ (* b 1) c))

simplify732.0ms

Counts
53 → 53
Iterations
IterNodes
32172
2610
1248
0115

prune366.0ms

Pruning

28 alts after pruning (26 fresh and 2 done)

Merged error: 8.1b

regimes678.0ms

Accuracy

47.8% (7.1b remaining)

Error of 16.3b against oracle of 9.1b and baseline of 22.8b

bsearch40.0ms

Steps
ItersRangePoint
2
1664.4216494882003
1834.211827642292
1685.6454217574617

simplify8.0ms

Iterations
IterNodes
235
135
026

end0.0ms

sample5.0s

Algorithm
intervals
Results
1.8s4459×body160valid
1.1s8663×body80nan
1.0s16663×pre80true
537.0ms3541×body80valid