Details

Time bar (total: 3.5s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify94.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1159
2359
3719
41219
51569
61779
71809
done1809

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize5.0ms

Local error

Found 1 expressions with local error:

14.2b
(/ (* (* 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))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(/ (* (* x 2.0) y) (- x y))

simplify370.0ms

Counts
32 → 32
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
077400
1218380
21077314
done5000314

prune53.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
7.0b
(* (* 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×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)))

series104.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ y (- x y))
62.0ms
(* (* x 2.0) (/ y (- x y)))

simplify584.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (104.0ms)

IterNodesCost
0116915
1319856
21571756
done5000756

prune125.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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))

series87.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (- x y) y)
63.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify630.0ms

Counts
102 → 102
Iterations

Useful iterations: 2 (122.0ms)

IterNodesCost
01511250
13931177
218541061
done50011061

prune164.0ms

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 2.0) (- x y))
7.1b
(* (/ (* x 2.0) (- x y)) y)

rewrite26.0ms

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:
7.0ms
(/ (* x 2.0) (- x y))
17.0ms
(* (/ (* x 2.0) (- x y)) y)

series111.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (* x 2.0) (- x y))
62.0ms
(* (/ (* x 2.0) (- x y)) y)

simplify485.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
0101681
1273650
21228544
done5000544

prune93.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

95.2% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 6.9b

bsearch53.0ms

Steps
ItersRangePoint
8
8.255552306001952e-109
2.5706670895598453e-106
2.535580169146477e-106
8
-2.4602841083501623e+40
-1.816261061658437e+37
-1.8379060927151348e+37

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01535
12127
done2127

end0.0ms

sample306.0ms

Algorithm
intervals
Results
182.0ms8000×body80valid