Details

Time bar (total: 12.6s)

sample108.0ms

Algorithm
intervals
Results
21.0ms159×body160valid
19.0ms303×body80nan
16.0ms559×pre80true
9.0ms44×body320valid
3.0ms53×body80valid

simplify92.0ms

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.9b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4.0)))
0.2b
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
0.2b
(- (* b b) (* (* c a) 4.0))
38.3b
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite130.0ms

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:
7.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
67.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
7.0ms
(- (* b b) (* (* c a) 4.0))
46.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series328.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
106.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
53.0ms
(- (* b b) (* (* c a) 4.0))
87.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify1.5s

Counts
96 → 96
Iterations
IterNodes
done5000
21185
1391
0158

prune751.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.5b

localize15.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune83.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 5.5b

localize24.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* -2.0 (/ (* 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 div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 47
Calls
2 calls:
30.0ms
(/ (* -2.0 (/ (* a c) b)) a)
17.0ms
(/ (* a c) b)

series61.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (* -2.0 (/ (* a c) b)) a)
31.0ms
(/ (* a c) b)

simplify1.4s

Counts
53 → 53
Iterations
IterNodes
done5022
21485
1274
097

prune465.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 5.4b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
46×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
21×add-cbrt-cube add-exp-log
16×associate-/r*
10×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
3×prod-exp cbrt-unprod
2×pow1 clear-num frac-2neg add-log-exp
1×associate-*r/ associate-/r/ associate-/l/
Counts
2 → 96
Calls
2 calls:
17.0ms
(/ (* -2.0 (/ a (/ b c))) a)
8.0ms
(/ a (/ b c))

series52.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (* -2.0 (/ a (/ b c))) a)
25.0ms
(/ a (/ b c))

simplify1.4s

Counts
102 → 102
Iterations
IterNodes
done5012
22104
1509
0196

prune649.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 5.4b

regimes904.0ms

Accuracy

8.3% (6.3b remaining)

Error of 11.4b against oracle of 5.1b and baseline of 12.0b

bsearch80.0ms

Steps
ItersRangePoint
4
6.789181744096528e-08
1.2662217397802895e-07
6.961131476357277e-08

simplify10.0ms

Iterations
IterNodes
done29
129
025

end0.0ms

sample4.4s

Algorithm
intervals
Results
1.2s4796×body160valid
1.1s8177×body80nan
684.0ms16177×pre80true
422.0ms1358×body320valid
134.0ms1846×body80valid