Details

Time bar (total: 11.3s)

sample11.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
187
297
done97

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 47
Calls
1 calls:
11.0ms
(/ (+ x y) (- x y))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(/ (+ x y) (- x y))

simplify2.2s

Counts
50 → 50
Iterations

Useful iterations: 3 (217.0ms)

IterNodesCost
078606
1175582
2430554
31090547
42877547
done5000547

prune85.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (+ x y))
0.0b
(/ 1 (/ (- x y) (+ x y)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 178
Calls
2 calls:
12.0ms
(/ (- x y) (+ x y))
13.0ms
(/ 1 (/ (- x y) (+ x y)))

series132.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ (- x y) (+ x y))
65.0ms
(/ 1 (/ (- x y) (+ x y)))

simplify2.0s

Counts
184 → 184
Iterations

Useful iterations: 3 (981.0ms)

IterNodesCost
02092998
14962553
210872296
330772256
done50002256

prune400.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(exp (/ (+ x y) (- x y)))
0.0b
(log (exp (/ (+ x y) (- x y))))
0.0b
(/ (+ x y) (- x y))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
61×add-sqr-sqrt
60×times-frac
52×exp-prod
35×add-cube-cbrt
27×log-pow
16×distribute-lft-out
13×distribute-lft-out-- difference-of-squares
6×associate-/r/
5×add-exp-log associate-/r* add-cbrt-cube
4×pow1 associate-/l* add-log-exp
3×expm1-log1p-u log-prod flip3-- flip-- log1p-expm1-u div-inv
2×associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp clear-num flip-+ rem-exp-log
Counts
3 → 123
Calls
3 calls:
17.0ms
(exp (/ (+ x y) (- x y)))
19.0ms
(log (exp (/ (+ x y) (- x y))))
10.0ms
(/ (+ x y) (- x y))

series225.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(exp (/ (+ x y) (- x y)))
65.0ms
(log (exp (/ (+ x y) (- x y))))
83.0ms
(/ (+ x y) (- x y))

simplify2.2s

Counts
132 → 132
Iterations

Useful iterations: 3 (285.0ms)

IterNodesCost
01381441
12451296
25191231
312881212
431781212
done50001212

prune257.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (/ (- x y) (+ x y)))
0.0b
(cbrt (/ (- x y) (+ x y)))
0.0b
(cbrt (/ (- x y) (+ x y)))
0.0b
(/ 1 (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y)))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
90×*-un-lft-identity
78×cbrt-prod
63×times-frac
60×add-sqr-sqrt
36×add-cube-cbrt
15×add-exp-log distribute-lft-out
12×pow1 distribute-lft-out-- difference-of-squares
9×pow-flip pow1/3 associate-/r/
7×cbrt-div add-cbrt-cube
4×expm1-log1p-u div-exp log1p-expm1-u div-inv add-log-exp
3×flip3-+ prod-exp flip-+ associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times frac-2neg pow-plus associate-*r/ associate-*l/ clear-num associate-/r* cbrt-unprod inv-pow
Counts
4 → 151
Calls
4 calls:
5.0ms
(cbrt (/ (- x y) (+ x y)))
5.0ms
(cbrt (/ (- x y) (+ x y)))
5.0ms
(cbrt (/ (- x y) (+ x y)))
28.0ms
(/ 1 (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y)))))

series814.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(cbrt (/ (- x y) (+ x y)))
218.0ms
(cbrt (/ (- x y) (+ x y)))
214.0ms
(cbrt (/ (- x y) (+ x y)))
166.0ms
(/ 1 (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y)))))

simplify2.1s

Counts
163 → 163
Iterations

Useful iterations: 4 (784.0ms)

IterNodesCost
01522550
12942353
25112222
310122172
423042154
done50012154

prune362.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
done109

end0.0ms

sample267.0ms

Algorithm
intervals
Results
145.0ms8000×body80valid