Details

Time bar (total: 6.8s)

sample17.0ms

Algorithm
intervals
Results
7.0ms287×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done9
29
18
06

prune3.0ms

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×pow1 cbrt-undiv clear-num frac-2neg div-exp div-inv add-log-exp
Counts
1 → 27
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))

simplify1.1s

Counts
30 → 30
Iterations
IterNodes
done5000
31236
2266
191
052

prune129.0ms

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
160×add-sqr-sqrt
158×*-un-lft-identity add-cube-cbrt
150×sqrt-prod
28×associate-/r*
11×add-cbrt-cube add-exp-log
9×div-inv associate-/l*
6×pow1
4×cbrt-undiv div-exp add-log-exp
2×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2
1×associate-/r/
Counts
4 → 240
Calls
4 calls:
1.0ms
(sqrt (fabs (- x y)))
1.0ms
(sqrt (fabs (- x y)))
12.0ms
(/ (sqrt (fabs (- x y))) (/ (fabs y) (sqrt (fabs (- x y)))))
5.0ms
(/ (fabs y) (sqrt (fabs (- x y))))

series83.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(sqrt (fabs (- x y)))
19.0ms
(sqrt (fabs (- x y)))
16.0ms
(/ (sqrt (fabs (- x y))) (/ (fabs y) (sqrt (fabs (- x y)))))
30.0ms
(/ (fabs y) (sqrt (fabs (- x y))))

simplify560.0ms

Counts
252 → 252
Iterations
IterNodes
done5000
1657
0262

prune907.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (sqrt (fabs y)))
0.3b
(* (/ 1 (sqrt (fabs y))) (/ (fabs (- x y)) (sqrt (fabs y))))
0.4b
(/ (fabs (- x y)) (sqrt (fabs y)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
105×add-sqr-sqrt
94×times-frac
65×*-un-lft-identity
59×add-cube-cbrt
53×sqrt-prod
31×add-exp-log
22×associate-*r* associate-*l*
19×add-cbrt-cube
15×unswap-sqr
12×associate-/r*
11×div-exp
8×prod-exp
7×pow1
6×cbrt-undiv associate-/l*
4×cbrt-unprod div-inv
3×rec-exp 1-exp pow-flip add-log-exp
2×clear-num frac-2neg
1×frac-times sqrt-pow1 pow1/2 pow-prod-down associate-*l/ associate-*r/ *-commutative inv-pow
Counts
3 → 167
Calls
3 calls:
6.0ms
(/ 1 (sqrt (fabs y)))
38.0ms
(* (/ 1 (sqrt (fabs y))) (/ (fabs (- x y)) (sqrt (fabs y))))
16.0ms
(/ (fabs (- x y)) (sqrt (fabs y)))

series77.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ 1 (sqrt (fabs y)))
22.0ms
(* (/ 1 (sqrt (fabs y))) (/ (fabs (- x y)) (sqrt (fabs y))))
24.0ms
(/ (fabs (- x y)) (sqrt (fabs y)))

simplify2.2s

Counts
176 → 176
Iterations
IterNodes
done5000
23371
1490
0179

prune579.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes172.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
06

end0.0ms

sample808.0ms

Algorithm
intervals
Results
415.0ms9176×body80valid