Details

Time bar (total: 10.8s)

sample27.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify168.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1189
2479
31029
41509
51689
61819
71859
done1859

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize9.0ms

Local error

Found 1 expressions with local error:

13.5b
(/ (- x y) (* (* x 2.0) y))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×times-frac associate-/l*
3×cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/l/ distribute-lft-out-- difference-of-squares
1×pow1 expm1-log1p-u flip3-- frac-2neg div-sub clear-num associate-/r* flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
42.0ms
(/ (- x y) (* (* x 2.0) y))

series78.0ms

Counts
1 → 3
Calls
1 calls:
78.0ms
(/ (- x y) (* (* x 2.0) y))

simplify3.1s

Counts
35 → 35
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
084467
1235452
2903372
34863370
done5000370

prune64.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
49×prod-diff
45×times-frac
35×*-un-lft-identity
33×add-sqr-sqrt
31×add-cube-cbrt
19×div-inv
7×fma-neg
4×distribute-lft-out--
3×add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log frac-sub add-cbrt-cube flip-- log1p-expm1-u difference-of-squares
Counts
1 → 76
Calls
1 calls:
45.0ms
(- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))

simplify2.5s

Counts
79 → 79
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01212614
12891829
26891333
33429959
done5000937

prune76.0ms

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
34×add-sqr-sqrt *-un-lft-identity
22×add-cube-cbrt
16×add-exp-log add-cbrt-cube
14×associate-/l*
7×cbrt-undiv div-exp
6×div-inv distribute-lft-out-- difference-of-squares
4×associate-/r*
3×div-sub associate-/l/
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×flip3-- flip--
Counts
2 → 89
Calls
2 calls:
25.0ms
(/ (- x y) (* x 2.0))
24.0ms
(/ (/ (- x y) (* x 2.0)) y)

series108.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- x y) (* x 2.0))
63.0ms
(/ (/ (- x y) (* x 2.0)) y)

simplify1.6s

Counts
95 → 95
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01551280
13801242
212501116
done50001114

prune194.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- x y))
0.1b
(/ (sqrt (- x y)) y)
0.1b
(/ (sqrt (- x y)) (* x 2.0))
5.9b
(* (/ (sqrt (- x y)) (* x 2.0)) (/ (sqrt (- x y)) y))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
66×*-un-lft-identity times-frac
56×sqrt-prod
44×add-cube-cbrt
32×add-exp-log add-cbrt-cube
28×associate-*r*
16×associate-/l*
12×associate-*l*
11×distribute-lft-out-- difference-of-squares
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×pow1
6×sqrt-div
4×expm1-log1p-u associate-/r* log1p-expm1-u div-inv associate-/l/ add-log-exp
3×flip3-- flip-- unswap-sqr
2×frac-2neg clear-num
1×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 174
Calls
4 calls:
10.0ms
(sqrt (- x y))
15.0ms
(/ (sqrt (- x y)) y)
26.0ms
(/ (sqrt (- x y)) (* x 2.0))
93.0ms
(* (/ (sqrt (- x y)) (* x 2.0)) (/ (sqrt (- x y)) y))

series354.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(sqrt (- x y))
122.0ms
(/ (sqrt (- x y)) y)
100.0ms
(/ (sqrt (- x y)) (* x 2.0))
63.0ms
(* (/ (sqrt (- x y)) (* x 2.0)) (/ (sqrt (- x y)) y))

simplify1.2s

Counts
186 → 186
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02482791
16332343
222872129
done50002120

prune443.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11311
done1311

end0.0ms

sample516.0ms

Algorithm
intervals
Results
315.0ms8000×body80valid