Details

Time bar (total: 15.9s)

sample31.0ms

Algorithm
intervals
Results
12.0ms287×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

localize14.0ms

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))

simplify3.5s

Counts
30 → 30
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
052369
186360
2179332
3330332
4551332
5867332
62008332
done5000332

prune101.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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)))
11.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

series21.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(/ (fabs y) (fabs (- x y)))
10.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

simplify6.2s

Counts
109 → 109
Iterations

Useful iterations: 3 (503.0ms)

IterNodesCost
01491745
12971531
25571356
312021338
422441338
538081338
done50021338

prune253.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ (fabs (- x y)) (sqrt (fabs y))) (sqrt (fabs y)))
0.4b
(/ (fabs (- x y)) (sqrt (fabs y)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
154×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
144×sqrt-prod
25×associate-/l*
12×associate-/r*
9×add-exp-log add-cbrt-cube div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 214
Calls
2 calls:
37.0ms
(/ (/ (fabs (- x y)) (sqrt (fabs y))) (sqrt (fabs y)))
11.0ms
(/ (fabs (- x y)) (sqrt (fabs y)))

series53.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (/ (fabs (- x y)) (sqrt (fabs y))) (sqrt (fabs y)))
35.0ms
(/ (fabs (- x y)) (sqrt (fabs y)))

simplify2.7s

Counts
220 → 220
Iterations

Useful iterations: done (2.7s)

IterNodesCost
02475276
15264697
29954403
323214307
done50004256

prune508.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (fabs (- x y)) (fabs y))
0.1b
(pow (/ (fabs (- x y)) (fabs y)) 3)
14.7b
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 3))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
41×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
32×cbrt-prod
26×unpow-prod-down cube-prod
8×add-exp-log add-cbrt-cube
5×div-inv
4×pow1
3×pow-unpow associate-/r* associate-/l* add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube
Counts
3 → 115
Calls
3 calls:
9.0ms
(/ (fabs (- x y)) (fabs y))
13.0ms
(pow (/ (fabs (- x y)) (fabs y)) 3)
11.0ms
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 3))

series88.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ (fabs (- x y)) (fabs y))
58.0ms
(pow (/ (fabs (- x y)) (fabs y)) 3)
17.0ms
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 3))

simplify1.1s

Counts
124 → 124
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01312072
13151728
29831545
done50001525

prune327.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes89.0ms

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

sample597.0ms

Algorithm
intervals
Results
295.0ms9136×body80valid