Details

Time bar (total: 5.0s)

sample18.0ms

Algorithm
intervals
Results
7.0ms285×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
187
297
done97

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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:
3.0ms
(/ (fabs (- x y)) (fabs y))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(/ (fabs (- x y)) (fabs y))

simplify962.0ms

Counts
30 → 30
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
052369
189361
2210335
3452332
4886332
51330332
62809332
done5001332

prune43.0ms

Filtered
22 candidates to 30 candidates (-36.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New27330
Fresh000
Picked011
Done000
Total27431

Merged error: 0b

Counts
31 → 4

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
11×times-frac
10×add-exp-log *-un-lft-identity
9×add-cube-cbrt
6×add-cbrt-cube
4×prod-exp
3×pow1 associate-*l* unswap-sqr
2×div-exp cbrt-unprod
1×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv add-log-exp
Counts
1 → 36
Calls
1 calls:
8.0ms
(* (fabs (- x y)) (/ 1 (fabs y)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* (fabs (- x y)) (/ 1 (fabs y)))

simplify994.0ms

Counts
39 → 39
Iterations

Useful iterations: 3 (232.0ms)

IterNodesCost
076484
1183425
2570345
31416335
42991335
done5000335

prune40.0ms

Filtered
23 candidates to 39 candidates (-69.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New39039
Fresh022
Picked011
Done011
Total39443

Merged error: 0b

Counts
43 → 4

localize9.0ms

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))))

rewrite75.0ms

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:
1.0ms
(sqrt (fabs (- x y)))
6.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
6.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
41.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

series38.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sqrt (fabs (- x y)))
11.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
11.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
7.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

simplify583.0ms

Counts
346 → 346
Iterations

Useful iterations: done (572.0ms)

IterNodesCost
02058992
16378013
224706731
done50016587

prune158.0ms

Filtered
150 candidates to 346 candidates (-130.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3460346
Fresh011
Picked011
Done022
Total3464350

Merged error: 0b

Counts
350 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ 1 (cbrt (fabs y))) (cbrt (fabs y)))
0.5b
(cbrt (fabs y))
0.5b
(cbrt (fabs y))
0.5b
(cbrt (fabs y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
258×times-frac
144×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
141×cbrt-prod
22×associate-/l*
13×add-exp-log
8×div-inv
7×pow1
6×div-exp associate-/r* add-cbrt-cube
5×pow1/3
4×add-log-exp
3×cbrt-undiv pow-div
2×pow-flip
1×rec-exp frac-2neg 1-exp clear-num associate-/l/ inv-pow
Counts
4 → 213
Calls
4 calls:
11.0ms
(/ (/ 1 (cbrt (fabs y))) (cbrt (fabs y)))
1.0ms
(cbrt (fabs y))
1.0ms
(cbrt (fabs y))
1.0ms
(cbrt (fabs y))

series110.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ (/ 1 (cbrt (fabs y))) (cbrt (fabs y)))
27.0ms
(cbrt (fabs y))
22.0ms
(cbrt (fabs y))
23.0ms
(cbrt (fabs y))

simplify1.2s

Counts
225 → 225
Iterations

Useful iterations: 3 (619.0ms)

IterNodesCost
02683966
15983623
216673114
343683016
done50003016

prune125.0ms

Filtered
88 candidates to 225 candidates (-155.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2250225
Fresh000
Picked011
Done033
Total2254229

Merged error: 0b

Counts
229 → 4

regimes126.0ms

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

sample494.0ms

Algorithm
intervals
Results
220.0ms9176×body80valid

Profiling

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