Details

Time bar (total: 5.7s)

sample22.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify35.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1149
2289
3439
4479
done479

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.3b

localize6.0ms

Local error

Found 1 expressions with local error:

15.6b
(/ (+ x y) (* (* x 2.0) y))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×*-un-lft-identity
4×times-frac associate-/l*
3×cbrt-undiv add-sqr-sqrt add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/l/ distribute-lft-out
1×pow1 frac-2neg flip3-+ clear-num associate-/r* flip-+ div-inv add-log-exp
Counts
1 → 27
Calls
1 calls:
51.0ms
(/ (+ x y) (* (* x 2.0) y))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(/ (+ x y) (* (* x 2.0) y))

simplify736.0ms

Counts
30 → 30
Iterations

Useful iterations: 2 (141.0ms)

IterNodesCost
073406
1216392
2966314
done5000314

prune73.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) y)
6.3b
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
35×*-un-lft-identity
28×times-frac
26×add-sqr-sqrt
25×add-cbrt-cube
21×add-cube-cbrt
20×prod-exp
16×div-exp associate-*r*
8×cbrt-undiv cbrt-unprod
7×associate-*l* distribute-lft-out
4×pow1 rec-exp 1-exp associate-/l*
3×associate-/r* div-inv
2×associate-/l/ add-log-exp unswap-sqr
1×frac-times frac-2neg flip3-+ associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip-+
Counts
2 → 90
Calls
2 calls:
32.0ms
(/ (+ x y) y)
80.0ms
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

series102.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (+ x y) y)
76.0ms
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

simplify2.0s

Counts
96 → 96
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01501268
14701186
23362942
done5000938

prune219.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) (* x 2.0))
6.7b
(/ (/ (+ x y) (* x 2.0)) y)

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
44×times-frac
33×*-un-lft-identity
21×add-sqr-sqrt add-cube-cbrt
16×add-exp-log add-cbrt-cube
12×associate-/l*
7×cbrt-undiv div-exp
6×div-inv distribute-lft-out
4×associate-/r*
3×associate-/l/
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×flip3-+ flip-+
Counts
2 → 77
Calls
2 calls:
35.0ms
(/ (+ x y) (* x 2.0))
45.0ms
(/ (/ (+ x y) (* x 2.0)) y)

series125.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (+ x y) (* x 2.0))
75.0ms
(/ (/ (+ x y) (* x 2.0)) y)

simplify1.0s

Counts
83 → 83
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01341127
13461092
21825988
done5001980

prune184.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes40.0ms

Accuracy

96.1% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 8.5b

bsearch58.0ms

Steps
ItersRangePoint
10
4.439601988712229e-81
4.535364894247716e-70
8.032379764470729e-73
5
-1.7474756166052982e-22
-4.8321606549894954e-23
-1.4757608743442474e-22

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01739
12529
done2529

end0.0ms

sample725.0ms

Algorithm
intervals
Results
438.0ms8000×body80valid