Details

Time bar (total: 14.8s)

sample129.0ms

Algorithm
intervals
Results
46.0ms260×body80nan
28.0ms147×body160valid
23.0ms516×pre80true
10.0ms109×body80valid

simplify96.0ms

Counts
1 → 1
Iterations
IterNodes
done98
798
697
595
487
370
243
124
014

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.7b

localize21.0ms

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)
29.6b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite119.0ms

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:
7.0ms
(sqrt (- (* b b) (* (* c a) 4)))
11.0ms
(- (* b b) (* (* c a) 4))
65.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
35.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series406.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(sqrt (- (* b b) (* (* c a) 4)))
65.0ms
(- (* b b) (* (* c a) 4))
135.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
105.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify2.4s

Counts
100 → 100
Iterations
IterNodes
done5002
34569
21103
1400
0161

prune623.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.5b

localize16.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune103.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 8.5b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

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:
31.0ms
(/ (* -2 (/ (* a c) b)) a)
17.0ms
(/ (* a c) b)

series47.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (* -2 (/ (* a c) b)) a)
26.0ms
(/ (* a c) b)

simplify1.2s

Counts
55 → 55
Iterations
IterNodes
done5001
21429
1278
099

prune363.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 8.4b

localize36.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* -2 (/ (/ (* a c) (sqrt b)) (sqrt b))) a)
0.3b
(/ (/ (* a c) (sqrt b)) (sqrt b))
0.4b
(/ (* a c) (sqrt b))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
111×times-frac
60×sqrt-prod
52×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
37×add-cbrt-cube add-exp-log
17×cbrt-undiv div-exp
15×associate-/r*
12×associate-/l*
10×div-inv
7×prod-exp cbrt-unprod
3×pow1 clear-num frac-2neg insert-posit16 add-log-exp
2×associate-/l/
1×associate-*r/
Counts
3 → 151
Calls
3 calls:
21.0ms
(/ (* -2 (/ (/ (* a c) (sqrt b)) (sqrt b))) a)
13.0ms
(/ (/ (* a c) (sqrt b)) (sqrt b))
9.0ms
(/ (* a c) (sqrt b))

series206.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(/ (* -2 (/ (/ (* a c) (sqrt b)) (sqrt b))) a)
53.0ms
(/ (/ (* a c) (sqrt b)) (sqrt b))
90.0ms
(/ (* a c) (sqrt b))

simplify1.6s

Counts
160 → 160
Iterations
IterNodes
done5003
22331
1640
0236

prune673.0ms

Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 8.4b

regimes1.4s

Accuracy

47.6% (7.3b remaining)

Error of 16.4b against oracle of 9.1b and baseline of 23.1b

bsearch36.0ms

Steps
ItersRangePoint
2
2241.248812300401
2693.9337634355593
2524.176906759875

simplify7.0ms

Iterations
IterNodes
done39
139
030

end0.0ms

sample5.3s

Algorithm
intervals
Results
1.4s4438×body160valid
1.3s8697×body80nan
1.1s16697×pre80true
1.0s3561×body80valid
0.0ms1×body320valid