Details

Time bar (total: 4.1s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify102.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1159
2359
3719
41219
51569
61779
71809
done1809

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))

rewrite11.0ms

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

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(/ (* (* x 2.0) y) (- x y))

simplify401.0ms

Counts
34 → 34
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
079420
1221400
21081334
done5000334

prune62.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:
5.0ms
(/ y (- x y))
16.0ms
(* (* x 2.0) (/ y (- x y)))

series113.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ y (- x y))
67.0ms
(* (* x 2.0) (/ y (- x y)))

simplify653.0ms

Counts
88 → 88
Iterations

Useful iterations: 2 (116.0ms)

IterNodesCost
0120947
1324888
21576788
done5000788

prune153.0ms

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))

rewrite26.0ms

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:
8.0ms
(/ (- x y) y)
13.0ms
(/ (* x 2.0) (/ (- x y) y))

series91.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (- x y) y)
67.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify705.0ms

Counts
106 → 106
Iterations

Useful iterations: 2 (136.0ms)

IterNodesCost
01551282
13991208
218631092
done50011092

prune186.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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:
6.0ms
(/ (* x 2.0) (- x y))
16.0ms
(* (/ (* x 2.0) (- x y)) y)

series125.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ (* x 2.0) (- x y))
65.0ms
(* (/ (* x 2.0) (- x y)) y)

simplify786.0ms

Counts
68 → 68
Iterations

Useful iterations: 2 (321.0ms)

IterNodesCost
0105717
1280685
21243579
done5000579

prune112.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

97.6% (0.2b remaining)

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

bsearch70.0ms

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
01535
12027
done2027

end0.0ms

sample301.0ms

Algorithm
intervals
Results
178.0ms8000×body80valid