Details

Time bar (total: 27.8s)

sample101.0ms

Algorithm
intervals
Results
19.0ms141×body160valid
18.0ms267×body80nan
15.0ms523×pre80true
8.0ms115×body80valid

simplify751.0ms

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

prune37.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize150.0ms

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))
29.0b
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite421.0ms

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:
35.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
235.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
18.0ms
(- (* b b) (* (* c a) 4.0))
123.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series608.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
201.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
81.0ms
(- (* b b) (* (* c a) 4.0))
179.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify8.1s

Counts
100 → 100
Iterations
IterNodes
done5019
34665
21127
1394
0162

prune1.5s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.8b

localize59.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune240.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 8.8b

localize71.0ms

Local error

Found 2 expressions with local error:

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

rewrite107.0ms

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:
27.0ms
(/ (* a c) b)
78.0ms
(/ (* -2.0 (/ (* a c) b)) a)

series69.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (* a c) b)
32.0ms
(/ (* -2.0 (/ (* a c) b)) a)

simplify2.8s

Counts
55 → 55
Iterations
IterNodes
done5115
21477
1274
099

prune1.2s

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 8.7b

localize69.0ms

Local error

Found 2 expressions with local error:

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

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
39×add-cbrt-cube
33×prod-exp
18×div-exp
17×cbrt-unprod
13×associate-*r*
12×times-frac
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
10×cbrt-undiv
7×pow1
4×rec-exp 1-exp
3×associate-/r* pow-prod-down associate-*r/
2×insert-posit16 div-inv add-log-exp
1×frac-times clear-num frac-2neg associate-*l* associate-*l/ un-div-inv *-commutative associate-/l*
Counts
2 → 75
Calls
2 calls:
22.0ms
(/ (* a c) b)
165.0ms
(* (* -2.0 (/ (* a c) b)) (/ 1 a))

series83.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (* a c) b)
49.0ms
(* (* -2.0 (/ (* a c) b)) (/ 1 a))

simplify4.1s

Counts
81 → 81
Iterations
IterNodes
done5001
21748
1420
0144

prune641.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 8.7b

regimes2.2s

Accuracy

46.5% (7.4b remaining)

Error of 16.6b against oracle of 9.2b and baseline of 23.0b

bsearch31.0ms

Steps
ItersRangePoint
1
771.957524520205
811.761863321402
781.9086092205042

simplify28.0ms

Iterations
IterNodes
done34
134
026

end0.0ms

sample4.2s

Algorithm
intervals
Results
1.2s4427×body160valid
990.0ms16702×pre80true
835.0ms8702×body80nan
421.0ms3573×body80valid