Details

Time bar (total: 10.4s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify3.0ms

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))

rewrite13.0ms

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 flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
11.0ms
(/ (+ x y) (- x y))

series64.0ms

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

simplify1.7s

Counts
48 → 48
Iterations

Useful iterations: 3 (199.0ms)

IterNodesCost
076590
1170567
2414539
31001532
42498532
done5000532

prune78.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 174
Calls
2 calls:
10.0ms
(/ (- x y) (+ x y))
14.0ms
(/ 1 (/ (- x y) (+ x y)))

series125.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(/ (- x y) (+ x y))
61.0ms
(/ 1 (/ (- x y) (+ x y)))

simplify2.0s

Counts
180 → 180
Iterations

Useful iterations: 3 (912.0ms)

IterNodesCost
02052962
14872521
210612268
329372228
done50002228

prune191.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite60.0ms

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×log-prod flip3-- flip-- div-inv
2×associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp clear-num flip-+ rem-exp-log
Counts
3 → 117
Calls
3 calls:
20.0ms
(exp (/ (+ x y) (- x y)))
23.0ms
(log (exp (/ (+ x y) (- x y))))
12.0ms
(/ (+ x y) (- x y))

series214.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(exp (/ (+ x y) (- x y)))
66.0ms
(log (exp (/ (+ x y) (- x y))))
68.0ms
(/ (+ x y) (- x y))

simplify1.9s

Counts
126 → 126
Iterations

Useful iterations: 3 (253.0ms)

IterNodesCost
01321387
12361247
24991182
311981163
428081163
done50001163

prune233.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite236.0ms

Algorithm
rewrite-expression-head
Rules
91×*-un-lft-identity
80×cbrt-prod
65×add-sqr-sqrt
64×times-frac
43×pow1
37×add-cube-cbrt
30×add-exp-log
29×associate-*r*
26×cbrt-div
20×pow1/3
18×pow-prod-up
15×pow-flip distribute-lft-out
13×associate-/r/
12×pow-plus prod-exp distribute-lft-out-- difference-of-squares
10×frac-times pow-prod-down associate-*l/ add-cbrt-cube
6×associate-*r/ div-exp pow-sqr cbrt-unprod
4×pow2 div-inv add-log-exp
3×cbrt-undiv rec-exp flip3-+ 1-exp flip-+ associate-/l* unswap-sqr
2×pow3
1×frac-2neg associate-*l* clear-num associate-/r* *-commutative inv-pow
Counts
4 → 188
Calls
4 calls:
5.0ms
(cbrt (/ (- x y) (+ x y)))
5.0ms
(cbrt (/ (- x y) (+ x y)))
131.0ms
(/ 1 (* (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y)))) (cbrt (/ (- x y) (+ x y)))))
84.0ms
(* (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y)))) (cbrt (/ (- x y) (+ x y))))

series615.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(cbrt (/ (- x y) (+ x y)))
219.0ms
(cbrt (/ (- x y) (+ x y)))
87.0ms
(/ 1 (* (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y)))) (cbrt (/ (- x y) (+ x y)))))
88.0ms
(* (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y)))) (cbrt (/ (- x y) (+ x y))))

simplify2.2s

Counts
200 → 200
Iterations

Useful iterations: 3 (991.0ms)

IterNodesCost
02044062
14603750
210672922
327882731
done50002731

prune362.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes42.0ms

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

sample266.0ms

Algorithm
intervals
Results
148.0ms8000×body80valid