Details

Time bar (total: 8.9s)

sample145.0ms

Algorithm
intervals
Results
38.0ms146×body160valid
35.0ms537×pre80true
35.0ms281×body80nan
14.0ms110×body80valid

simplify104.0ms

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.9b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4)))
0.2b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
0.2b
(- (* b b) (* (* c a) 4))
28.9b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite153.0ms

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:
8.0ms
(sqrt (- (* b b) (* (* c a) 4)))
89.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
14.0ms
(- (* b b) (* (* c a) 4))
41.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series386.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(sqrt (- (* b b) (* (* c a) 4)))
111.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
58.0ms
(- (* b b) (* (* c a) 4))
95.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify658.0ms

Counts
100 → 100
Iterations
IterNodes
done2001
21107
1400
0161

prune433.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 8.6b

localize10.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune82.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 8.6b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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:
16.0ms
(/ (* -2 (/ (* a c) b)) a)
9.0ms
(/ (* a c) b)

series61.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (* -2 (/ (* a c) b)) a)
30.0ms
(/ (* a c) b)

simplify627.0ms

Counts
55 → 55
Iterations
IterNodes
done2083
21429
1278
099

prune265.0ms

Pruning

37 alts after pruning (36 fresh and 1 done)

Merged error: 8.4b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

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:
22.0ms
(/ (* -2 (/ (/ (* a c) (sqrt b)) (sqrt b))) a)
9.0ms
(/ (* a c) (sqrt b))
16.0ms
(/ (/ (* a c) (sqrt b)) (sqrt b))

series144.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ (* -2 (/ (/ (* a c) (sqrt b)) (sqrt b))) a)
50.0ms
(/ (* a c) (sqrt b))
52.0ms
(/ (/ (* a c) (sqrt b)) (sqrt b))

simplify366.0ms

Counts
160 → 160
Iterations
IterNodes
done2000
1639
0236

prune433.0ms

Pruning

37 alts after pruning (36 fresh and 1 done)

Merged error: 8.4b

regimes640.0ms

Accuracy

47.2% (7.4b remaining)

Error of 16.3b against oracle of 8.9b and baseline of 22.9b

bsearch37.0ms

Steps
ItersRangePoint
3
1917.9681010718273
2334.6495375971285
1935.0528928047481

simplify8.0ms

Iterations
IterNodes
done34
134
026

end0.0ms

sample4.2s

Algorithm
intervals
Results
1.2s8610×body80nan
1.1s16610×pre80true
990.0ms4407×body160valid
418.0ms3593×body80valid