Details

Time bar (total: 6.0s)

sample16.0ms

Algorithm
intervals
Results
6.0ms284×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06162
18162
29162
done9162

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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 *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
4.0ms
(/ (fabs (- x y)) (fabs y))

series9.0ms

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

simplify5.2s

Counts
32 → 32
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0549125
1938852
22358772
35958772
416938772
534978772
done50008772

prune160.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

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

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
332×add-sqr-sqrt
327×sqrt-prod
312×times-frac
177×*-un-lft-identity add-cube-cbrt
68×swap-sqr
40×associate-*r* associate-*l*
25×unswap-sqr
20×add-cbrt-cube add-exp-log
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×clear-num frac-2neg
1×pow2 frac-times rem-sqrt-square rem-square-sqrt sqrt-pow1 pow-plus pow1/2 sqrt-unprod pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 342
Calls
4 calls:
5.0ms
(sqrt (fabs (- x y)))
12.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
13.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
83.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

series112.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(sqrt (fabs (- x y)))
37.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
38.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
20.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

simplify312.0ms

Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
0211173265