Details

Time bar (total: 12.1s)

sample101.0ms

Algorithm
intervals
Results
33.0ms321×body80nan
17.0ms137×body160valid
14.0ms577×pre80true
7.0ms119×body80valid

simplify124.0ms

Counts
1 → 1
Iterations
IterNodes
done98
798
697
595
487
372
242
124
014

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4.0)))
0.3b
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
0.3b
(- (* b b) (* (* c a) 4.0))
26.9b
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite146.0ms

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-- 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 → 84
Calls
4 calls:
8.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
78.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
7.0ms
(- (* b b) (* (* c a) 4.0))
50.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series392.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
138.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
58.0ms
(- (* b b) (* (* c a) 4.0))
105.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify1.2s

Counts
96 → 96
Iterations
IterNodes
done5000
21185
1391
0158

prune648.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 9.2b

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune152.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 9.2b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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 div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 47
Calls
2 calls:
16.0ms
(/ (* a c) b)
31.0ms
(/ (* -2.0 (/ (* a c) b)) a)

series64.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (* a c) b)
33.0ms
(/ (* -2.0 (/ (* a c) b)) a)

simplify1.5s

Counts
53 → 53
Iterations
IterNodes
done5005
21483
1273
097

prune526.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 9.2b

localize36.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (/ b (* a c)))
0.3b
(/ b (* a c))
0.3b
(/ (* -2.0 (/ 1 (/ b (* a c)))) a)

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×times-frac
37×add-cbrt-cube div-exp
23×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
17×cbrt-undiv prod-exp
11×associate-/r*
7×cbrt-unprod div-inv associate-/l*
6×rec-exp 1-exp
4×pow1
3×clear-num frac-2neg add-log-exp
2×associate-/l/
1×associate-*r/ associate-/r/ un-div-inv pow-flip inv-pow
Counts
3 → 112
Calls
3 calls:
25.0ms
(/ 1 (/ b (* a c)))
12.0ms
(/ b (* a c))
58.0ms
(/ (* -2.0 (/ 1 (/ b (* a c)))) a)

series94.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ 1 (/ b (* a c)))
25.0ms
(/ b (* a c))
30.0ms
(/ (* -2.0 (/ 1 (/ b (* a c)))) a)

simplify1.5s

Counts
121 → 121
Iterations
IterNodes
done5024
22007
1478
0183

prune576.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 9.2b

regimes1.2s

Accuracy

45.1% (7.5b remaining)

Error of 16.6b against oracle of 9.2b and baseline of 22.8b

bsearch8.0ms

Steps
ItersRangePoint
0
77.28833020321753
78.41867601841196
77.85350311081474

simplify12.0ms

Iterations
IterNodes
done34
134
026

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.3s4483×body160valid
820.0ms16708×pre80true
725.0ms8708×body80nan
293.0ms3517×body80valid