Details

Time bar (total: 10.7s)

sample25.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify2.4s

Counts
1 → 1
Iterations
IterNodes
done5001
83929
71054
6315
5117
455
341
228
117
07

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (- 2.0 (+ x y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
40×add-sqr-sqrt
30×times-frac
19×distribute-lft-out--
14×add-cube-cbrt
13×difference-of-squares
6×associate-/r* distribute-lft-out
5×associate-/l*
3×add-cbrt-cube add-exp-log
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv clear-num frac-2neg div-sub div-exp insert-posit16 div-inv add-log-exp
Counts
1 → 59
Calls
1 calls:
25.0ms
(/ (- x y) (- 2.0 (+ x y)))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify827.0ms

Counts
62 → 62
Iterations
IterNodes
done5001
21019
1282
0113

prune181.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
0.0b
(/ y (- 2.0 (+ x y)))
0.0b
(/ x (- 2.0 (+ x y)))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
127×*-un-lft-identity
64×times-frac
59×add-sqr-sqrt
41×distribute-lft-out--
27×add-cube-cbrt
14×distribute-lft-out difference-of-squares
12×associate-/r*
8×associate-/r/
7×add-cbrt-cube add-exp-log
6×associate-/l*
5×flip3-- flip-- add-log-exp
4×div-inv
3×pow1 distribute-rgt-out-- insert-posit16
2×cbrt-undiv clear-num frac-2neg div-exp
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 119
Calls
3 calls:
130.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
19.0ms
(/ y (- 2.0 (+ x y)))
21.0ms
(/ x (- 2.0 (+ x y)))

series209.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
65.0ms
(/ y (- 2.0 (+ x y)))
67.0ms
(/ x (- 2.0 (+ x y)))

simplify994.0ms

Counts
128 → 128
Iterations
IterNodes
done5000
21308
1395
0179

prune453.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 2.0 (+ x y)))
0.0b
(- (/ x (- 2.0 (+ x y))) (* y (/ 1 (- 2.0 (+ x y)))))
0.0b
(/ x (- 2.0 (+ x y)))
0.1b
(* y (/ 1 (- 2.0 (+ x y))))

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
66×add-sqr-sqrt
56×times-frac
37×add-cube-cbrt
24×associate-*r*
22×distribute-lft-out--
19×add-exp-log
13×add-cbrt-cube
12×associate-/r*
11×distribute-lft-out difference-of-squares
7×pow1
6×associate-/r/ associate-/l* add-log-exp
5×div-exp
4×flip3-- prod-exp insert-posit16 div-inv flip--
3×cbrt-undiv associate-*l* associate-*r/ un-div-inv unswap-sqr
2×rec-exp clear-num frac-2neg 1-exp frac-sub cbrt-unprod sub-div
1×sub-neg distribute-rgt-out-- diff-log pow-prod-down *-commutative pow-flip inv-pow
Counts
4 → 154
Calls
4 calls:
27.0ms
(/ 1 (- 2.0 (+ x y)))
104.0ms
(- (/ x (- 2.0 (+ x y))) (* y (/ 1 (- 2.0 (+ x y)))))
18.0ms
(/ x (- 2.0 (+ x y)))
42.0ms
(* y (/ 1 (- 2.0 (+ x y))))

series258.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ 1 (- 2.0 (+ x y)))
73.0ms
(- (/ x (- 2.0 (+ x y))) (* y (/ 1 (- 2.0 (+ x y)))))
57.0ms
(/ x (- 2.0 (+ x y)))
72.0ms
(* y (/ 1 (- 2.0 (+ x y))))

simplify1.2s

Counts
166 → 166
Iterations
IterNodes
done5000
22158
1514
0212

prune551.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 2.0 (+ x y)) (- 2.0 (+ x y)))
0.0b
(* x (- 2.0 (+ x y)))
3.4b
(- (* x (- 2.0 (+ x y))) (* (- 2.0 (+ x y)) y))
28.1b
(/ (- (* x (- 2.0 (+ x y))) (* (- 2.0 (+ x y)) y)) (* (- 2.0 (+ x y)) (- 2.0 (+ x y))))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
27×flip3-- flip--
26×add-sqr-sqrt
18×associate-*r/ distribute-lft-out--
16×associate-*l/
13×pow1 add-cbrt-cube add-exp-log
12×swap-sqr associate-*r* add-cube-cbrt
9×associate-*l* distribute-lft-out
8×frac-times associate-/r/ frac-sub associate-/l/
7×sub-neg
6×distribute-rgt-in distribute-lft-in add-log-exp
5×difference-of-squares
4×associate--l+ insert-posit16 sub-div
3×times-frac prod-exp cbrt-unprod associate-/l*
2×cbrt-undiv div-exp pow-prod-down *-commutative unswap-sqr
1×pow2 clear-num associate-/r* frac-2neg pow-plus diff-log div-sub pow-sqr pow-prod-up div-inv
Counts
4 → 143
Calls
4 calls:
77.0ms
(* (- 2.0 (+ x y)) (- 2.0 (+ x y)))
49.0ms
(* x (- 2.0 (+ x y)))
22.0ms
(- (* x (- 2.0 (+ x y))) (* (- 2.0 (+ x y)) y))
78.0ms
(/ (- (* x (- 2.0 (+ x y))) (* (- 2.0 (+ x y)) y)) (* (- 2.0 (+ x y)) (- 2.0 (+ x y))))

series241.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (- 2.0 (+ x y)) (- 2.0 (+ x y)))
30.0ms
(* x (- 2.0 (+ x y)))
54.0ms
(- (* x (- 2.0 (+ x y))) (* (- 2.0 (+ x y)) y))
116.0ms
(/ (- (* x (- 2.0 (+ x y))) (* (- 2.0 (+ x y)) y)) (* (- 2.0 (+ x y)) (- 2.0 (+ x y))))

simplify1.2s

Counts
155 → 155
Iterations
IterNodes
done5000
1715
0211

prune542.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done9
19
08

end0.0ms

sample734.0ms

Algorithm
intervals
Results
537.0ms7999×body80valid
0.0ms1×body1280valid