Details

Time bar (total: 9.3s)

sample14.0ms

Algorithm
intervals
Results
5.0ms297×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
297
done97

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(/ (fabs (- x y)) (fabs y))

simplify2.0s

Counts
32 → 32
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
054385
188376
2178348
3328348
4549348
5864348
62003348
done5000348

prune82.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

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)))
0.3b
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

rewrite53.0ms

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×expm1-log1p-u rem-sqrt-square log1p-expm1-u 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 → 172
Calls
4 calls:
5.0ms
(/ (fabs (- x y)) (fabs y))
7.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
4.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
30.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

series58.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ (fabs (- x y)) (fabs y))
19.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
20.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
10.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

simplify1.7s

Counts
184 → 184
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01603295
12372465
27422303
326922255
done50002215

prune402.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fabs (- x y)) (fabs y))
0.1b
(sqrt (/ (fabs (- x y)) (fabs y)))
0.2b
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
0.3b
(* (fabs (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))) (sqrt (/ (fabs (- x y)) (fabs y))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
70×sqrt-prod
66×add-sqr-sqrt
65×times-frac
56×add-cube-cbrt *-un-lft-identity
16×associate-*r*
10×add-exp-log add-cbrt-cube
9×associate-/r* associate-/l*
7×pow1
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×associate-*l* unswap-sqr
2×cbrt-undiv rem-sqrt-square frac-2neg sqrt-div div-exp clear-num
1×sqrt-undiv sqrt-pow1 pow1/2 associate-*r/ pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 155
Calls
4 calls:
5.0ms
(/ (fabs (- x y)) (fabs y))
4.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
8.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
17.0ms
(* (fabs (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))) (sqrt (/ (fabs (- x y)) (fabs y))))

series79.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ (fabs (- x y)) (fabs y))
19.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
20.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
32.0ms
(* (fabs (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))) (sqrt (/ (fabs (- x y)) (fabs y))))

simplify1.6s

Counts
167 → 167
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01972869
13122657
27422490
318382272
done50002228

prune445.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (/ (fabs (- x y)) (fabs y))) (* (fabs (cbrt (fabs (- x y)))) (sqrt (/ (cbrt (fabs (- x y))) (fabs y)))))
0.3b
(* (fabs (cbrt (fabs (- x y)))) (sqrt (/ (cbrt (fabs (- x y))) (fabs y))))
0.5b
(cbrt (fabs (- x y)))
0.5b
(cbrt (fabs (- x y)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
38×sqrt-prod
29×add-cube-cbrt *-un-lft-identity times-frac
26×associate-*r*
19×associate-*l*
16×cbrt-prod
11×pow1 add-exp-log add-cbrt-cube
5×sqrt-div
4×expm1-log1p-u associate-*r/ pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*l/
Counts
4 → 108
Calls
4 calls:
45.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (* (fabs (cbrt (fabs (- x y)))) (sqrt (/ (cbrt (fabs (- x y))) (fabs y)))))
21.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (/ (cbrt (fabs (- x y))) (fabs y))))
1.0ms
(cbrt (fabs (- x y)))
1.0ms
(cbrt (fabs (- x y)))

series255.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (* (fabs (cbrt (fabs (- x y)))) (sqrt (/ (cbrt (fabs (- x y))) (fabs y)))))
81.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (/ (cbrt (fabs (- x y))) (fabs y))))
46.0ms
(cbrt (fabs (- x y)))
48.0ms
(cbrt (fabs (- x y)))

simplify1.7s

Counts
120 → 120
Iterations

Useful iterations: 3 (765.0ms)

IterNodesCost
01892406
13552259
210162056
329392050
done50002050

prune358.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes56.0ms

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

sample352.0ms

Algorithm
intervals
Results
158.0ms9192×body80valid