Details

Time bar (total: 5.1s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify102.0ms

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

localize5.0ms

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 flip3-- frac-2neg clear-num flip-- div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
11.0ms
(/ (* (* x 2.0) y) (- x y))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(/ (* (* x 2.0) y) (- x y))

simplify919.0ms

Counts
32 → 32
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
077400
1212380
2977314
done5000314

prune58.0ms

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×flip3-- flip-- div-inv add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
2 → 78
Calls
2 calls:
5.0ms
(/ y (- x y))
16.0ms
(* (* x 2.0) (/ y (- x y)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ y (- x y))
60.0ms
(* (* x 2.0) (/ y (- x y)))

simplify883.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (220.0ms)

IterNodesCost
0116915
1311856
21309756
done5001756

prune127.0ms

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 frac-2neg prod-exp clear-num cbrt-unprod associate-/l/ add-log-exp
1×flip3-- div-sub associate-/r/ flip--
Counts
2 → 96
Calls
2 calls:
7.0ms
(/ (- x y) y)
9.0ms
(/ (* x 2.0) (/ (- x y) y))

series86.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (- x y) y)
59.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify879.0ms

Counts
102 → 102
Iterations

Useful iterations: 2 (233.0ms)

IterNodesCost
01511250
13841177
213551063
done50011063

prune171.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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×flip3-- flip-- div-inv add-log-exp
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative associate-/l* unswap-sqr
Counts
2 → 58
Calls
2 calls:
6.0ms
(/ (* x 2.0) (- x y))
16.0ms
(* (/ (* x 2.0) (- x y)) y)

series113.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (* x 2.0) (- x y))
62.0ms
(* (/ (* x 2.0) (- x y)) y)

simplify986.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (111.0ms)

IterNodesCost
0101681
1261650
2995544
done5000544

prune96.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

97.6% (0.2b remaining)

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

bsearch71.0ms

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

sample313.0ms

Algorithm
intervals
Results
185.0ms8000×body80valid