Details

Time bar (total: 12.6s)

sample32.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify236.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1159
2369
3749
41239
51559
61679
71709
done1709

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.7b

localize11.0ms

Local error

Found 1 expressions with local error:

14.4b
(/ (* (* x 2.0) y) (- x y))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×times-frac associate-/r*
3×cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/r/ distribute-lft-out-- difference-of-squares
1×pow1 expm1-log1p-u flip3-- frac-2neg clear-num flip-- log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 31
Calls
1 calls:
54.0ms
(/ (* (* x 2.0) y) (- x y))

series89.0ms

Counts
1 → 3
Calls
1 calls:
89.0ms
(/ (* (* x 2.0) y) (- x y))

simplify1.3s

Counts
34 → 34
Iterations

Useful iterations: 2 (139.0ms)

IterNodesCost
079420
1211400
2995334
done5000334

prune128.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
3.9b
(* (* x 2.0) (/ y (- x y)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt *-un-lft-identity
30×times-frac
21×add-cube-cbrt associate-*r*
16×add-exp-log add-cbrt-cube
7×pow1 distribute-lft-out-- difference-of-squares
6×prod-exp cbrt-unprod
5×associate-/r*
4×associate-/r/
3×cbrt-undiv div-exp pow-prod-down associate-/l*
2×expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
2 → 82
Calls
2 calls:
12.0ms
(/ y (- x y))
42.0ms
(* (* x 2.0) (/ y (- x y)))

series154.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(/ y (- x y))
90.0ms
(* (* x 2.0) (/ y (- x y)))

simplify1.7s

Counts
88 → 88
Iterations

Useful iterations: 2 (262.0ms)

IterNodesCost
0120947
1304888
21244788
done5000788

prune199.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- x y))
0.2b
(* y (/ 1 (- x y)))
3.9b
(* (* x 2.0) (* y (/ 1 (- x y))))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
44×add-sqr-sqrt
38×*-un-lft-identity
32×times-frac
31×add-cbrt-cube
27×prod-exp
23×add-cube-cbrt
22×associate-*r*
18×pow1
15×cbrt-unprod
9×pow-prod-down
8×div-exp
7×distribute-lft-out-- difference-of-squares
5×associate-/r*
4×cbrt-undiv rec-exp 1-exp associate-*r/ associate-*l* associate-/r/
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×flip3-- un-div-inv *-commutative flip-- div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 123
Calls
3 calls:
23.0ms
(/ 1 (- x y))
41.0ms
(* y (/ 1 (- x y)))
67.0ms
(* (* x 2.0) (* y (/ 1 (- x y))))

series208.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ 1 (- x y))
59.0ms
(* y (/ 1 (- x y)))
103.0ms
(* (* x 2.0) (* y (/ 1 (- x y))))

simplify4.6s

Counts
132 → 132
Iterations

Useful iterations: 2 (300.0ms)

IterNodesCost
01521441
13511130
21075940
34561940
done5000940

prune268.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
4.3b
(/ (* x 2.0) (/ (- x y) y))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
64×times-frac
50×add-sqr-sqrt *-un-lft-identity
30×add-cube-cbrt
22×associate-/r*
16×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
7×cbrt-undiv div-exp
6×associate-/l*
4×div-inv
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- div-sub associate-/r/ flip--
Counts
2 → 100
Calls
2 calls:
20.0ms
(/ (- x y) y)
39.0ms
(/ (* x 2.0) (/ (- x y) y))

series140.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (- x y) y)
112.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify1.8s

Counts
106 → 106
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01551282
13771208
213241094
done50001092

prune287.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes170.0ms

Accuracy

95.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 7.1b

bsearch107.0ms

Steps
ItersRangePoint
10
6.1290901366686206e-86
5.716001850700244e-75
3.77258026262028e-75
7
-9.267496942578666e+30
-2.6008056194933348e+29
-8.127753624841103e+29

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01735
12327
done2327

end0.0ms

sample713.0ms

Algorithm
intervals
Results
431.0ms8000×body80valid