Details

Time bar (total: 12.4s)

sample27.0ms

Algorithm
intervals
Results
13.0ms292×body80valid

simplify6.0ms

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

localize26.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(/ (fabs (- x y)) (fabs y))

simplify3.3s

Counts
32 → 32
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
054385
188376
2178348
3328348
4549348
5864348
62003348
done5000348

prune106.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

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))))

rewrite178.0ms

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×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u 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 → 342
Calls
4 calls:
3.0ms
(sqrt (fabs (- x y)))
10.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
8.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
124.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

series81.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(sqrt (fabs (- x y)))
35.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
23.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
10.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

simplify2.2s

Counts
354 → 354
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02119084
16047987
218266700
done50006411

prune965.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

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

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
133×add-sqr-sqrt
127×sqrt-prod
118×times-frac
80×add-cube-cbrt *-un-lft-identity
40×associate-*r*
16×associate-*l*
15×unswap-sqr
13×add-exp-log add-cbrt-cube
9×associate-/r* associate-/l*
7×pow1
5×div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv sqrt-undiv sqrt-div div-exp
2×rem-sqrt-square frac-2neg prod-exp clear-num cbrt-unprod
1×frac-times sqrt-pow1 pow1/2 sqrt-unprod associate-*r/ swap-sqr pow-prod-down associate-*l/ rem-square-sqrt *-commutative
Counts
4 → 211
Calls
4 calls:
10.0ms
(/ (fabs (- x y)) (fabs y))
8.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
23.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
65.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

series113.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (fabs (- x y)) (fabs y))
38.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
38.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
19.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

simplify3.8s

Counts
223 → 223
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
02184232
14143815
211783694
342413689
done50003689

prune675.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes46.0ms

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

sample626.0ms

Algorithm
intervals
Results
402.0ms9136×body80valid