Details

Time bar (total: 14.1s)

sample31.0ms

Algorithm
intervals
Results
15.0ms365×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011245
124245
254245
393245
4145245
5305245
6794245
72538245
done5000245

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ y (* z 3.0)))
0.2b
(* (* z 3.0) y)
0.2b
(/ y (* z 3.0))
5.5b
(/ t (* (* z 3.0) y))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
23×add-cbrt-cube add-exp-log
11×add-sqr-sqrt *-un-lft-identity
9×pow1 add-cube-cbrt
7×prod-exp cbrt-unprod
6×times-frac associate-/l* add-log-exp
5×cbrt-undiv div-exp
3×associate-*r* pow-prod-down
2×clear-num associate-/r* frac-2neg div-inv
1×sub-neg flip3-- diff-log associate-*l* *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 76
Calls
4 calls:
16.0ms
(- x (/ y (* z 3.0)))
26.0ms
(* (* z 3.0) y)
11.0ms
(/ y (* z 3.0))
32.0ms
(/ t (* (* z 3.0) y))

series161.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(- x (/ y (* z 3.0)))
36.0ms
(* (* z 3.0) y)
28.0ms
(/ y (* z 3.0))
38.0ms
(/ t (* (* z 3.0) y))

simplify1.6s

Counts
88 → 88
Iterations

Useful iterations: done (1.6s)

IterNodesCost
012816088
132514836
2188814356
done500113876

prune508.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ y (* z 3.0)))
0.2b
(/ t (* z 3.0))
0.2b
(/ y (* z 3.0))
2.5b
(/ (/ t (* z 3.0)) y)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
26×add-sqr-sqrt *-un-lft-identity
24×add-cube-cbrt
23×add-cbrt-cube add-exp-log
13×associate-/l*
9×cbrt-undiv div-exp
7×div-inv
6×add-log-exp
5×associate-/r*
4×pow1
3×clear-num frac-2neg prod-exp cbrt-unprod
1×sub-neg flip3-- diff-log flip-- distribute-lft-out-- difference-of-squares associate-/l/
Counts
4 → 104
Calls
4 calls:
8.0ms
(- x (/ y (* z 3.0)))
6.0ms
(/ t (* z 3.0))
6.0ms
(/ y (* z 3.0))
16.0ms
(/ (/ t (* z 3.0)) y)

series180.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(- x (/ y (* z 3.0)))
34.0ms
(/ t (* z 3.0))
33.0ms
(/ y (* z 3.0))
54.0ms
(/ (/ t (* z 3.0)) y)

simplify1.3s

Counts
116 → 116
Iterations

Useful iterations: 2 (457.0ms)

IterNodesCost
017424607
141623030
2191122029
done500222029

prune734.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (/ y z) 3.0))
0.2b
(/ t (* z 3.0))
0.2b
(/ (/ y z) 3.0)
2.5b
(/ (/ t (* z 3.0)) y)

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
73×add-sqr-sqrt
66×*-un-lft-identity
64×add-cube-cbrt
23×add-cbrt-cube add-exp-log associate-/l*
11×div-inv
10×cbrt-undiv div-exp
7×associate-/r*
6×add-log-exp
4×pow1
3×clear-num frac-2neg difference-of-squares
2×prod-exp cbrt-unprod associate-/l/
1×sub-neg flip3-- diff-log flip-- distribute-lft-out--
Counts
4 → 155
Calls
4 calls:
31.0ms
(- x (/ (/ y z) 3.0))
10.0ms
(/ t (* z 3.0))
16.0ms
(/ (/ y z) 3.0)
24.0ms
(/ (/ t (* z 3.0)) y)

series168.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(- x (/ (/ y z) 3.0))
31.0ms
(/ t (* z 3.0))
33.0ms
(/ (/ y z) 3.0)
48.0ms
(/ (/ t (* z 3.0)) y)

simplify2.1s

Counts
167 → 167
Iterations

Useful iterations: done (2.0s)

IterNodesCost
028842788
169840117
2339439355
done500139195

prune928.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ t (* z 3.0))
0.2b
(/ y (* z 3.0))
0.6b
(/ 1 (/ y (/ t (* z 3.0))))
2.4b
(/ y (/ t (* z 3.0)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
237×times-frac
107×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
57×add-exp-log
37×add-cbrt-cube
35×associate-/r*
32×div-exp
24×div-inv
18×cbrt-undiv
12×associate-/l*
6×prod-exp associate-/r/
5×pow1
4×rec-exp clear-num frac-2neg 1-exp cbrt-unprod add-log-exp
1×pow-flip inv-pow
Counts
4 → 226
Calls
4 calls:
9.0ms
(/ t (* z 3.0))
7.0ms
(/ y (* z 3.0))
18.0ms
(/ 1 (/ y (/ t (* z 3.0))))
9.0ms
(/ y (/ t (* z 3.0)))

series101.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ t (* z 3.0))
23.0ms
(/ y (* z 3.0))
29.0ms
(/ 1 (/ y (/ t (* z 3.0))))
29.0ms
(/ y (/ t (* z 3.0)))

simplify805.0ms

Counts
238 → 238
Iterations

Useful iterations: done (778.0ms)

IterNodesCost
033175114
192461334
done500059728

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes385.0ms

Accuracy

55.6% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.7b

bsearch114.0ms

Steps
ItersRangePoint
3
14735394.205204137
17717782.309850607
17403769.19113546
9
-1.538840409290045e+62
-1.4283835655938964e+54
-6.040401186939436e+54

simplify11.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
030988
139988
done39988

end0.0ms

sample1.4s

Algorithm
intervals
Results
922.0ms11030×body80valid