Details

Time bar (total: 11.2s)

sample19.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify590.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite36.0ms

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×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-sub div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 61
Calls
1 calls:
35.0ms
(/ (- x y) (- 2.0 (+ x y)))

series74.0ms

Counts
1 → 3
Calls
1 calls:
74.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify453.0ms

Counts
64 → 64
Iterations
IterNodes
done2004
2792
1290
0115

prune154.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

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)))

rewrite257.0ms

Algorithm
rewrite-expression-head
Rules
1352×*-un-lft-identity
946×times-frac
843×add-sqr-sqrt
576×prod-diff
517×add-cube-cbrt
335×distribute-lft-out--
161×distribute-lft-out difference-of-squares
106×associate-/r/
54×flip3-- flip--
53×div-inv
24×fma-neg
12×associate-/r*
7×add-cbrt-cube add-exp-log
6×associate-/l*
5×add-log-exp
3×expm1-log1p-u pow1 distribute-rgt-out-- insert-posit16 log1p-expm1-u
2×cbrt-undiv clear-num frac-2neg div-exp
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 725
Calls
3 calls:
176.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
25.0ms
(/ y (- 2.0 (+ x y)))
29.0ms
(/ x (- 2.0 (+ x y)))

series224.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
67.0ms
(/ y (- 2.0 (+ x y)))
65.0ms
(/ x (- 2.0 (+ x y)))

simplify1.0s

Counts
734 → 734
Iterations
IterNodes
done2000
11343
0583

prune2.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize31.0ms

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))))

rewrite159.0ms

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×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u 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 → 240
Calls
4 calls:
110.0ms
(* (cbrt (/ x (- 2.0 (+ x y)))) (cbrt (/ x (- 2.0 (+ x y)))))
12.0ms
(cbrt (/ x (- 2.0 (+ x y))))
13.0ms
(cbrt (/ x (- 2.0 (+ x y))))
16.0ms
(cbrt (/ x (- 2.0 (+ x y))))

series682.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(* (cbrt (/ x (- 2.0 (+ x y)))) (cbrt (/ x (- 2.0 (+ x y)))))
173.0ms
(cbrt (/ x (- 2.0 (+ x y))))
168.0ms
(cbrt (/ x (- 2.0 (+ x y))))
168.0ms
(cbrt (/ x (- 2.0 (+ x y))))

simplify751.0ms

Counts
252 → 252
Iterations
IterNodes
done2001
21187
1506
0251

prune978.0ms

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)))))

rewrite453.0ms

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×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u 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 → 362
Calls
4 calls:
28.0ms
(/ (- x y) (- 2.0 (+ x y)))
108.0ms
(* (/ (- x y) (- 2.0 (+ x y))) (/ (- x y) (- 2.0 (+ x y))))
186.0ms
(* (* (/ (- x y) (- 2.0 (+ x y))) (/ (- x y) (- 2.0 (+ x y)))) (/ (- x y) (- 2.0 (+ x y))))
117.0ms
(cbrt (* (* (/ (- x y) (- 2.0 (+ x y))) (/ (- x y) (- 2.0 (+ x y)))) (/ (- x y) (- 2.0 (+ x y)))))

series423.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(/ (- x y) (- 2.0 (+ x y)))
97.0ms
(* (/ (- x y) (- 2.0 (+ x y))) (/ (- x y) (- 2.0 (+ x y))))
190.0ms
(* (* (/ (- x y) (- 2.0 (+ x y))) (/ (- x y) (- 2.0 (+ x y)))) (/ (- x y) (- 2.0 (+ x y))))
69.0ms
(cbrt (* (* (/ (- x y) (- 2.0 (+ x y))) (/ (- x y) (- 2.0 (+ x y)))) (/ (- x y) (- 2.0 (+ x y)))))

simplify642.0ms

Counts
374 → 374
Iterations
IterNodes
done2001
11150
0325

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes100.0ms

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

sample687.0ms

Algorithm
intervals
Results
517.0ms7998×body80valid
0.0ms2×body320valid