Details

Time bar (total: 11.6s)

sample16.0ms

Algorithm
intervals
Results
8.0ms287×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
187
297
done97

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
1×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 27
Calls
1 calls:
2.0ms
(/ (fabs (- x y)) (fabs y))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (fabs (- x y)) (fabs y))

simplify2.5s

Counts
30 → 30
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
052369
186360
2176332
3395332
4726332
51066332
62259332
done5000332

prune70.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (fabs y) (fabs (- x y)))
0.1b
(/ 1 (/ (fabs y) (fabs (- x y))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 103
Calls
2 calls:
2.0ms
(/ (fabs y) (fabs (- x y)))
5.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

series15.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ (fabs y) (fabs (- x y)))
7.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

simplify4.8s

Counts
109 → 109
Iterations

Useful iterations: 3 (358.0ms)

IterNodesCost
01491745
13121531
25771356
312361338
422321338
534151338
done50001338

prune143.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.1b
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
0.1b
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
0.2b
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
332×add-sqr-sqrt
327×sqrt-prod
312×times-frac
177×add-cube-cbrt *-un-lft-identity
68×swap-sqr
40×associate-*r* associate-*l*
25×unswap-sqr
20×add-exp-log add-cbrt-cube
12×pow1 associate-/r* associate-/l*
6×cbrt-undiv sqrt-undiv div-exp div-inv
4×prod-exp cbrt-unprod add-log-exp
2×frac-2neg clear-num
1×pow2 frac-times rem-sqrt-square sqrt-pow1 pow-plus pow1/2 sqrt-unprod associate-*r/ pow-prod-down associate-*l/ rem-square-sqrt pow-sqr *-commutative pow-prod-up
Counts
4 → 334
Calls
4 calls:
1.0ms
(sqrt (fabs (- x y)))
4.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
4.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
46.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

series51.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(sqrt (fabs (- x y)))
20.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
15.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
7.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

simplify743.0ms

Counts
346 → 346
Iterations

Useful iterations: done (732.0ms)

IterNodesCost
02058992
16317909
219816632
done50006587

prune514.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fabs (- x y)))
0.5b
(cbrt (fabs (- x y)))
0.5b
(cbrt (fabs y))
0.5b
(cbrt (fabs y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
0.0ms
(cbrt (fabs (- x y)))
0.0ms
(cbrt (fabs (- x y)))
0.0ms
(cbrt (fabs y))
1.0ms
(cbrt (fabs y))

series275.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(cbrt (fabs (- x y)))
43.0ms
(cbrt (fabs (- x y)))
96.0ms
(cbrt (fabs y))
97.0ms
(cbrt (fabs y))

simplify1.8s

Counts
56 → 56
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
032384
145368
296320
3198308
4530308
52168308
done5000308

prune176.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes60.0ms

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
067
done67

end0.0ms

sample298.0ms

Algorithm
intervals
Results
158.0ms9158×body80valid