Details

Time bar (total: 15.0s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05122
18122
29122
done9122

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
distribute-lft-out
associate-/r* distribute-lft-out-- difference-of-squares
associate-/l*
add-cbrt-cube add-exp-log
associate-/r/ associate-/l/
pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ div-inv flip-- add-log-exp
Counts
1 → 45
Calls
1 calls:
23.0ms
(/ (+ x y) (- x y))

series82.0ms

Counts
1 → 3
Calls
1 calls:
82.0ms
(/ (+ x y) (- x y))

simplify1.6s

Counts
48 → 48
Iterations

Useful iterations: done (1.6s)

IterNodesCost
07612085
117511268
246811148
3164911069
done500211029

prune151.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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/
add-cbrt-cube
div-exp associate-/l*
div-inv
flip3-+ flip-+
cbrt-undiv
pow1
rec-exp clear-num frac-2neg 1-exp add-log-exp associate-/l/
flip3-- div-sub pow-flip flip-- inv-pow
Counts
2 → 174
Calls
2 calls:
19.0ms
(/ 1 (/ (- x y) (+ x y)))
19.0ms
(/ (- x y) (+ x y))

series157.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(/ 1 (/ (- x y) (+ x y)))
87.0ms
(/ (- x y) (+ x y))

simplify4.3s

Counts
180 → 180
Iterations

Useful iterations: 3 (2.5s)

IterNodesCost
020564977
154050616
2161749477
3487845712
done500445712

prune446.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
121×*-un-lft-identity
80×times-frac
79×add-sqr-sqrt
78×cbrt-prod
45×add-cube-cbrt
21×distribute-lft-out
17×distribute-lft-out-- difference-of-squares
associate-/r/
add-cbrt-cube add-exp-log
associate-/r*
pow1 flip3-- div-inv flip-- associate-/l* add-log-exp
cbrt-div pow1/3
associate-/l/
cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+
Counts
4 → 150
Calls
4 calls:
25.0ms
(/ (+ x y) (- x y))
15.0ms
(cbrt (/ (+ x y) (- x y)))
8.0ms
(cbrt (/ (+ x y) (- x y)))
7.0ms
(cbrt (/ (+ x y) (- x y)))

series848.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(/ (+ x y) (- x y))
267.0ms
(cbrt (/ (+ x y) (- x y)))
245.0ms
(cbrt (/ (+ x y) (- x y)))
263.0ms
(cbrt (/ (+ x y) (- x y)))

simplify1.7s

Counts
162 → 162
Iterations

Useful iterations: done (1.7s)

IterNodesCost
011760667
122655629
251555389
3178154593
done505154553

prune804.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
131×*-un-lft-identity
85×add-sqr-sqrt
80×times-frac
47×add-cube-cbrt
26×cbrt-prod
23×distribute-lft-out
19×distribute-lft-out-- difference-of-squares
15×associate-/l*
12×associate-/r*
10×add-cbrt-cube add-exp-log
associate-/r/
associate-/l/
pow1 flip3-+ flip-+ div-inv add-log-exp
cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp flip--
cbrt-div pow1/3
Counts
4 → 173
Calls
4 calls:
7.0ms
(cbrt (/ (- x y) (+ x y)))
18.0ms
(/ (- x y) (+ x y))
16.0ms
(/ (- x y) (+ x y))
17.0ms
(/ (- x y) (+ x y))

series551.0ms

Counts
4 → 12
Calls
4 calls:
265.0ms
(cbrt (/ (- x y) (+ x y)))
105.0ms
(/ (- x y) (+ x y))
92.0ms
(/ (- x y) (+ x y))
88.0ms
(/ (- x y) (+ x y))

simplify2.4s

Counts
185 → 185
Iterations

Useful iterations: 3 (796.0ms)

IterNodesCost
011952941
124648635
264448235
3321248075
done500148075

prune904.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes191.0ms

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
05122
16122
done6122

end0.0ms

sample509.0ms

Algorithm
intervals
Results
268.0ms8000×body80valid