Details

Time bar (total: 7.0s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify99.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1159
2359
3709
41209
51519
61669
71719
done1719

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize6.0ms

Local error

Found 1 expressions with local error:

12.9b
(/ (* (* x 2.0) y) (- x y))

rewrite12.0ms

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:
11.0ms
(/ (* (* x 2.0) y) (- x y))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(/ (* (* x 2.0) y) (- x y))

simplify924.0ms

Counts
34 → 34
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
079420
1215400
2983334
done5000334

prune66.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
7.6b
(* (* x 2.0) (/ y (- x y)))

rewrite27.0ms

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:
6.0ms
(/ y (- x y))
18.0ms
(* (* x 2.0) (/ y (- x y)))

series110.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ y (- x y))
64.0ms
(* (* x 2.0) (/ y (- x y)))

simplify849.0ms

Counts
88 → 88
Iterations

Useful iterations: 2 (217.0ms)

IterNodesCost
0120947
1316888
21315788
done5000788

prune162.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
7.8b
(/ (* x 2.0) (/ (- x y) y))

rewrite23.0ms

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:
9.0ms
(/ (- x y) y)
10.0ms
(/ (* x 2.0) (/ (- x y) y))

series90.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (- x y) y)
65.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify882.0ms

Counts
106 → 106
Iterations

Useful iterations: 2 (233.0ms)

IterNodesCost
01551282
13901208
213681094
done50001094

prune198.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- x y))
8.3b
(* (/ x (- x y)) (* 2.0 y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt *-un-lft-identity
30×times-frac
21×add-cube-cbrt associate-*l*
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:
6.0ms
(/ x (- x y))
21.0ms
(* (/ x (- x y)) (* 2.0 y))

series105.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ x (- x y))
63.0ms
(* (/ x (- x y)) (* 2.0 y))

simplify2.7s

Counts
88 → 88
Iterations

Useful iterations: done (2.7s)

IterNodesCost
0123926
1321888
2979786
34292786
done5000785

prune159.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes46.0ms

Accuracy

97.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 7.6b

bsearch67.0ms

Steps
ItersRangePoint
10
1.2952092234492434e-79
1.2113400824519197e-65
2.1640309147455017e-67
10
-7.884632933156152e+16
-925426.909356872
-2.985649314254737e+16

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01635
12227
done2227

end0.0ms

sample324.0ms

Algorithm
intervals
Results
188.0ms8000×body80valid