Details

Time bar (total: 14.1s)

sample34.0ms

Algorithm
intervals
Results
13.0ms285×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
297
done97

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:
10.0ms
(/ (fabs (- x y)) (fabs y))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(/ (fabs (- x y)) (fabs y))

simplify1.8s

Counts
30 → 30
Iterations

Useful iterations: 3 (260.0ms)

IterNodesCost
052369
191360
2265334
31230332
done5000332

prune205.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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:
10.0ms
(/ (fabs y) (fabs (- x y)))
22.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

series46.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (fabs y) (fabs (- x y)))
26.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

simplify3.9s

Counts
109 → 109
Iterations

Useful iterations: done (3.9s)

IterNodesCost
01491745
13621531
220081410
done50011338

prune493.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt sqrt-prod
71×times-frac
58×add-cube-cbrt *-un-lft-identity
21×pow1
18×swap-sqr
16×associate-*r* associate-*l*
10×sqrt-pow1 pow1/2
9×unswap-sqr
8×add-exp-log add-cbrt-cube
7×div-inv
6×sqrt-div
5×pow-prod-up
4×rem-sqrt-square add-log-exp
3×pow-prod-down associate-/r* pow-sqr associate-/l*
1×cbrt-undiv pow2 frac-times frac-2neg pow-plus sqrt-unprod associate-*r/ div-exp associate-*l/ prod-exp clear-num rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 164
Calls
4 calls:
10.0ms
(/ (fabs (- x y)) (fabs y))
7.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
7.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
69.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

series126.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (fabs (- x y)) (fabs y))
46.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
42.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
19.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

simplify2.0s

Counts
176 → 176
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01543207
12762407
215142237
done50012199

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fabs (- x y)))
0.6b
(cbrt (fabs y))
0.6b
(cbrt (fabs y))
0.6b
(cbrt (fabs y))

rewrite10.0ms

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:
2.0ms
(cbrt (fabs (- x y)))
2.0ms
(cbrt (fabs y))
2.0ms
(cbrt (fabs y))
2.0ms
(cbrt (fabs y))

series695.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(cbrt (fabs (- x y)))
208.0ms
(cbrt (fabs y))
193.0ms
(cbrt (fabs y))
200.0ms
(cbrt (fabs y))

simplify1.7s

Counts
56 → 56
Iterations

Useful iterations: 3 (116.0ms)

IterNodesCost
032346
151330
2149288
3445276
41639276
done5001276

prune466.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes247.0ms

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

sample950.0ms

Algorithm
intervals
Results
406.0ms9144×body80valid