Details

Time bar (total: 8.7s)

sample24.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify730.0ms

Counts
1 → 1
Iterations
IterNodes
done2001
211947
201805
191689
181549
171434
161292
151176
141036
13926
12792
11680
10550
9445
8302
7199
6118
565
450
339
227
117
07

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

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:
39.0ms
(/ (- x y) (- 2.0 (+ x y)))

series73.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify525.0ms

Counts
62 → 62
Iterations
IterNodes
done2004
2768
1282
0113

prune149.0ms

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)))

rewrite160.0ms

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:
110.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
24.0ms
(/ y (- 2.0 (+ x y)))
24.0ms
(/ x (- 2.0 (+ x y)))

series175.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
49.0ms
(/ y (- 2.0 (+ x y)))
54.0ms
(/ x (- 2.0 (+ x y)))

simplify671.0ms

Counts
128 → 128
Iterations
IterNodes
done2006
21045
1395
0179

prune445.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ x (- 2.0 (+ x y)))) (cbrt (/ x (- 2.0 (+ x y)))))
8.7b
(cbrt (/ x (- 2.0 (+ x y))))
8.7b
(cbrt (/ x (- 2.0 (+ x y))))
8.7b
(cbrt (/ x (- 2.0 (+ x y))))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
267×*-un-lft-identity
216×cbrt-prod
168×times-frac
156×add-sqr-sqrt
90×add-cube-cbrt
66×distribute-lft-out--
45×swap-sqr
33×distribute-lft-out
27×associate-*r* associate-*l*
21×difference-of-squares
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- div-inv flip--
6×add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 232
Calls
4 calls:
114.0ms
(* (cbrt (/ x (- 2.0 (+ x y)))) (cbrt (/ x (- 2.0 (+ x y)))))
13.0ms
(cbrt (/ x (- 2.0 (+ x y))))
18.0ms
(cbrt (/ x (- 2.0 (+ x y))))
13.0ms
(cbrt (/ x (- 2.0 (+ x y))))

series595.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (cbrt (/ x (- 2.0 (+ x y)))) (cbrt (/ x (- 2.0 (+ x y)))))
151.0ms
(cbrt (/ x (- 2.0 (+ x y))))
149.0ms
(cbrt (/ x (- 2.0 (+ x y))))
131.0ms
(cbrt (/ x (- 2.0 (+ x y))))

simplify676.0ms

Counts
244 → 244
Iterations
IterNodes
done2001
21098
1488
0247

prune829.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x y) (- 2.0 (+ x y)))
0.0b
(* (/ (- x y) (- 2.0 (+ x y))) (/ (- x y) (- 2.0 (+ x y))))
0.1b
(* (* (/ (- x y) (- 2.0 (+ x y))) (/ (- x y) (- 2.0 (+ x y)))) (/ (- x y) (- 2.0 (+ x y))))
9.1b
(cbrt (* (* (/ (- x y) (- 2.0 (+ x y))) (/ (- x y) (- 2.0 (+ x y)))) (/ (- x y) (- 2.0 (+ x y)))))

rewrite445.0ms

Algorithm
rewrite-expression-head
Rules
606×*-un-lft-identity
293×times-frac
276×add-sqr-sqrt
199×distribute-lft-out--
93×add-cube-cbrt
90×swap-sqr
84×difference-of-squares
72×associate-*r*
63×distribute-lft-out
59×add-cbrt-cube add-exp-log
37×associate-*l*
30×pow1
22×prod-exp cbrt-unprod
18×cbrt-undiv div-exp
12×associate-/r/
11×frac-times associate-*l/
7×cbrt-div pow-plus flip3-- associate-*r/ pow-prod-up flip--
6×associate-/r* div-inv unswap-sqr
5×associate-/l*
4×pow-prod-down insert-posit16 add-log-exp
3×pow2 pow-sqr
2×pow3 *-commutative associate-/l/
1×cbrt-prod clear-num frac-2neg pow1/3 div-sub rem-cbrt-cube
Counts
4 → 354
Calls
4 calls:
28.0ms
(/ (- x y) (- 2.0 (+ x y)))
93.0ms
(* (/ (- x y) (- 2.0 (+ x y))) (/ (- x y) (- 2.0 (+ x y))))
146.0ms
(* (* (/ (- x y) (- 2.0 (+ x y))) (/ (- x y) (- 2.0 (+ x y)))) (/ (- x y) (- 2.0 (+ x y))))
161.0ms
(cbrt (* (* (/ (- x y) (- 2.0 (+ x y))) (/ (- x y) (- 2.0 (+ x y)))) (/ (- x y) (- 2.0 (+ x y)))))

series454.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(/ (- x y) (- 2.0 (+ x y)))
101.0ms
(* (/ (- x y) (- 2.0 (+ x y))) (/ (- x y) (- 2.0 (+ x y))))
211.0ms
(* (* (/ (- x y) (- 2.0 (+ x y))) (/ (- x y) (- 2.0 (+ x y)))) (/ (- x y) (- 2.0 (+ x y))))
68.0ms
(cbrt (* (* (/ (- x y) (- 2.0 (+ x y))) (/ (- x y) (- 2.0 (+ x y)))) (/ (- x y) (- 2.0 (+ x y)))))

simplify801.0ms

Counts
366 → 366
Iterations
IterNodes
done2001
11134
0317

prune895.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done9
19
08

end0.0ms

sample629.0ms

Algorithm
intervals
Results
494.0ms7998×body80valid
0.0ms2×body320valid