Details

Time bar (total: 11.7s)

sample22.0ms

Algorithm
intervals
Results
10.0ms286×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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
add-exp-log associate-/r* add-cbrt-cube associate-/l*
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:
6.0ms
(/ (fabs (- x y)) (fabs y))

series9.0ms

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

simplify2.7s

Counts
32 → 32
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
054385
188376
2178348
3328348
4549348
5864348
62003348
done5000348

prune92.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
11×times-frac
10×add-exp-log *-un-lft-identity
add-cube-cbrt
add-cbrt-cube
prod-exp
pow1 associate-*l* unswap-sqr
div-exp cbrt-unprod
cbrt-undiv expm1-log1p-u rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
20.0ms
(* (fabs (- x y)) (/ 1 (fabs y)))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(* (fabs (- x y)) (/ 1 (fabs y)))

simplify4.9s

Counts
41 → 41
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
078504
1172413
2386351
3784351
41439351
53120351
done5001351

prune71.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.0b
(sqrt (fabs (- x y)))
0.2b
(/ (sqrt (fabs (- x y))) (/ (fabs y) (sqrt (fabs (- x y)))))
0.4b
(/ (fabs y) (sqrt (fabs (- x y))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
160×add-sqr-sqrt
158×add-cube-cbrt *-un-lft-identity
150×sqrt-prod
28×associate-/r*
11×add-exp-log add-cbrt-cube
div-inv associate-/l*
pow1
cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
associate-/r/
Counts
4 → 248
Calls
4 calls:
2.0ms
(sqrt (fabs (- x y)))
2.0ms
(sqrt (fabs (- x y)))
25.0ms
(/ (sqrt (fabs (- x y))) (/ (fabs y) (sqrt (fabs (- x y)))))
9.0ms
(/ (fabs y) (sqrt (fabs (- x y))))

series64.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(sqrt (fabs (- x y)))
10.0ms
(sqrt (fabs (- x y)))
12.0ms
(/ (sqrt (fabs (- x y))) (/ (fabs y) (sqrt (fabs (- x y)))))
32.0ms
(/ (fabs y) (sqrt (fabs (- x y))))

simplify2.3s

Counts
260 → 260
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02676240
15255592
216875064
done50004860

prune458.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes65.0ms

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

sample888.0ms

Algorithm
intervals
Results
671.0ms9148×body80valid