Details

Time bar (total: 12.9s)

sample19.0ms

Algorithm
intervals
Results
7.0ms295×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
297
done97

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:
6.0ms
(/ (fabs (- x y)) (fabs y))

series13.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(/ (fabs (- x y)) (fabs y))

simplify3.7s

Counts
30 → 30
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
052369
186360
2179332
3330332
4551332
5867332
62008332
done5000332

prune123.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

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))))

rewrite208.0ms

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:
2.0ms
(sqrt (fabs (- x y)))
17.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
16.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
124.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

series109.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(sqrt (fabs (- x y)))
36.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
37.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
18.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

simplify2.3s

Counts
346 → 346
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02058992
15997909
218196632
done50006343

prune881.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sqrt (fabs (- x y))))
0.6b
(cbrt (sqrt (fabs y)))
0.6b
(cbrt (sqrt (fabs y)))
0.6b
(cbrt (sqrt (fabs y)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity sqrt-prod
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 56
Calls
4 calls:
2.0ms
(cbrt (sqrt (fabs (- x y))))
2.0ms
(cbrt (sqrt (fabs y)))
2.0ms
(cbrt (sqrt (fabs y)))
2.0ms
(cbrt (sqrt (fabs y)))

series497.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(cbrt (sqrt (fabs (- x y))))
144.0ms
(cbrt (sqrt (fabs y)))
141.0ms
(cbrt (sqrt (fabs y)))
151.0ms
(cbrt (sqrt (fabs y)))

simplify3.9s

Counts
68 → 68
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
048546
163516
276480
399468
4149468
5300468
6911468
73896468
done5000468

prune288.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes80.0ms

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

sample751.0ms

Algorithm
intervals
Results
391.0ms9186×body80valid