Details

Time bar (total: 10.0s)

sample40.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify278.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1159
2369
3749
41239
51559
61679
71709
done1709

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.7b

localize14.0ms

Local error

Found 1 expressions with local error:

16.2b
(/ (* (* x 2.0) y) (- x y))

rewrite60.0ms

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:
58.0ms
(/ (* (* x 2.0) y) (- x y))

series123.0ms

Counts
1 → 3
Calls
1 calls:
123.0ms
(/ (* (* x 2.0) y) (- x y))

simplify1.6s

Counts
34 → 34
Iterations

Useful iterations: 2 (130.0ms)

IterNodesCost
079420
1211400
2995334
done5000334

prune72.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
7.9b
(* (* x 2.0) (/ y (- x y)))

rewrite81.0ms

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:
24.0ms
(/ y (- x y))
50.0ms
(* (* x 2.0) (/ y (- x y)))

series152.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ y (- x y))
92.0ms
(* (* x 2.0) (/ y (- x y)))

simplify2.1s

Counts
88 → 88
Iterations

Useful iterations: 2 (331.0ms)

IterNodesCost
0120947
1304888
21244788
done5000788

prune213.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
9.0b
(/ (* 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:
28.0ms
(/ (- x y) y)
31.0ms
(/ (* x 2.0) (/ (- x y) y))

series122.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (- x y) y)
85.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify1.7s

Counts
106 → 106
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01551282
13771208
213241094
done50001092

prune209.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* x 2.0) (- x y))
6.0b
(* (/ (* x 2.0) (- x y)) y)

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×associate-*l*
10×times-frac
7×add-cube-cbrt
5×prod-exp associate-/r* cbrt-unprod
4×pow1 cbrt-undiv div-exp associate-/r/
3×associate-*r* distribute-lft-out-- difference-of-squares
2×expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative associate-/l* unswap-sqr
Counts
2 → 62
Calls
2 calls:
17.0ms
(/ (* x 2.0) (- x y))
58.0ms
(* (/ (* x 2.0) (- x y)) y)

series210.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(/ (* x 2.0) (- x y))
116.0ms
(* (/ (* x 2.0) (- x y)) y)

simplify1.8s

Counts
68 → 68
Iterations

Useful iterations: 2 (245.0ms)

IterNodesCost
0105717
1264685
2980579
done5000579

prune138.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes66.0ms

Accuracy

96.9% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 7.0b

bsearch118.0ms

Steps
ItersRangePoint
9
0.0033303272193615503
311302.39110615524
46.006353789191955
8
-6.885747089095738e+77
-2.31278248766753e+75
-3.849631356825476e+75

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01535
12127
done2127

end0.0ms

sample804.0ms

Algorithm
intervals
Results
458.0ms8000×body80valid