Details

Time bar (total: 21.3s)

sample28.0ms

Algorithm
intervals
Results
12.0ms297×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
297
done97

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:
8.0ms
(/ (fabs (- x y)) (fabs y))

series17.0ms

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

simplify2.8s

Counts
30 → 30
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
052369
186360
2179332
3330332
4551332
5867332
62008332
done5000332

prune116.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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:
5.0ms
(/ (fabs y) (fabs (- x y)))
10.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

series20.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ (fabs y) (fabs (- x y)))
10.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

simplify6.6s

Counts
109 → 109
Iterations

Useful iterations: 3 (433.0ms)

IterNodesCost
01491745
12971531
25571356
312021338
422441338
538081338
done50021338

prune207.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

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×frac-2neg clear-num add-log-exp
1×pow-flip associate-/r/ associate-/l/ inv-pow
Counts
2 → 258
Calls
2 calls:
13.0ms
(/ 1 (fabs (- x y)))
34.0ms
(/ (/ 1 (fabs y)) (/ 1 (fabs (- x y))))

series30.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(/ 1 (fabs (- x y)))
16.0ms
(/ (/ 1 (fabs y)) (/ 1 (fabs (- x y))))

simplify5.5s

Counts
264 → 264
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
03876096
110274654
215744094
327704022
437454022
done50014022

prune288.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

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)))))

rewrite261.0ms

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 rem-sqrt-square add-log-exp
2×rec-exp frac-2neg 1-exp clear-num inv-pow
1×associate-/l/
Counts
4 → 1077
Calls
4 calls:
6.0ms
(sqrt (/ (fabs y) (fabs (- x y))))
6.0ms
(sqrt (/ (fabs y) (fabs (- x y))))
14.0ms
(/ 1 (sqrt (/ (fabs y) (fabs (- x y)))))
53.0ms
(/ (/ 1 (sqrt (/ (fabs y) (fabs (- x y))))) (sqrt (/ (fabs y) (fabs (- x y)))))

series118.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(sqrt (/ (fabs y) (fabs (- x y))))
31.0ms
(sqrt (/ (fabs y) (fabs (- x y))))
39.0ms
(/ 1 (sqrt (/ (fabs y) (fabs (- x y)))))
16.0ms
(/ (/ 1 (sqrt (/ (fabs y) (fabs (- x y))))) (sqrt (/ (fabs y) (fabs (- x y)))))

simplify3.1s

Counts
1089 → 1089
Iterations

Useful iterations: done (3.0s)

IterNodesCost
0148543272
1317438030
2369335533
done500035093

prune1.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes91.0ms

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

sample600.0ms

Algorithm
intervals
Results
277.0ms9136×body80valid