Details

Time bar (total: 21.5s)

sample29.0ms

Algorithm
intervals
Results
12.0ms297×body80valid

simplify8.0ms

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))

rewrite11.0ms

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 expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
9.0ms
(/ (fabs (- x y)) (fabs y))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(/ (fabs (- x y)) (fabs y))

simplify3.2s

Counts
32 → 32
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
054385
188376
2178348
3328348
4549348
5864348
62003348
done5000348

prune123.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 107
Calls
2 calls:
10.0ms
(/ (fabs y) (fabs (- x y)))
27.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

series40.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (fabs y) (fabs (- x y)))
19.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

simplify6.0s

Counts
113 → 113
Iterations

Useful iterations: 3 (506.0ms)

IterNodesCost
01531781
13011567
25571388
311971370
422481370
538021370
done50001370

prune223.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (fabs (- x y)))
0.2b
(/ (/ 1 (fabs y)) (/ 1 (fabs (- x y))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
206×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
46×add-exp-log
34×div-exp
30×div-inv
16×associate-/r* add-cbrt-cube associate-/l*
9×cbrt-undiv rec-exp 1-exp
3×pow1
2×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ associate-/l/ inv-pow
Counts
2 → 262
Calls
2 calls:
5.0ms
(/ 1 (fabs (- x y)))
27.0ms
(/ (/ 1 (fabs y)) (/ 1 (fabs (- x y))))

series27.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ 1 (fabs (- x y)))
19.0ms
(/ (/ 1 (fabs y)) (/ 1 (fabs (- x y))))

simplify5.3s

Counts
268 → 268
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
03916134
110314688
215774124
327624052
437484052
done50014052

prune247.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (/ (fabs y) (fabs (- x y))))
0.1b
(sqrt (/ (fabs y) (fabs (- x y))))
0.1b
(/ 1 (sqrt (/ (fabs y) (fabs (- x y)))))
0.2b
(/ (/ 1 (sqrt (/ (fabs y) (fabs (- x y))))) (sqrt (/ (fabs y) (fabs (- x y)))))

rewrite225.0ms

Algorithm
rewrite-expression-head
Rules
2713×times-frac
1443×sqrt-prod
1202×add-sqr-sqrt
1196×add-cube-cbrt *-un-lft-identity
130×div-inv
56×associate-/l*
32×associate-/r*
21×sqrt-div
19×associate-/r/
17×add-exp-log
15×pow1
11×add-cbrt-cube
8×pow-flip div-exp
7×sqrt-pow1 pow1/2
6×pow-div
4×cbrt-undiv expm1-log1p-u rem-sqrt-square log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num inv-pow
1×associate-/l/
Counts
4 → 1085
Calls
4 calls:
6.0ms
(sqrt (/ (fabs y) (fabs (- x y))))
4.0ms
(sqrt (/ (fabs y) (fabs (- x y))))
15.0ms
(/ 1 (sqrt (/ (fabs y) (fabs (- x y)))))
45.0ms
(/ (/ 1 (sqrt (/ (fabs y) (fabs (- x y))))) (sqrt (/ (fabs y) (fabs (- x y)))))

series93.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(sqrt (/ (fabs y) (fabs (- x y))))
23.0ms
(sqrt (/ (fabs y) (fabs (- x y))))
28.0ms
(/ 1 (sqrt (/ (fabs y) (fabs (- x y)))))
14.0ms
(/ (/ 1 (sqrt (/ (fabs y) (fabs (- x y))))) (sqrt (/ (fabs y) (fabs (- x y)))))

simplify3.3s

Counts
1097 → 1097
Iterations

Useful iterations: done (3.2s)

IterNodesCost
0149143370
1318038108
2369935611
done500035171

prune1.6s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes93.0ms

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

sample891.0ms

Algorithm
intervals
Results
625.0ms9136×body80valid