Details

Time bar (total: 29.1s)

sample29.0ms

Algorithm
intervals
Results
12.0ms301×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done9
29
18
06

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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))

series10.0ms

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

simplify4.3s

Counts
30 → 30
Iterations
IterNodes
done5008
54904
41701
3604
2241
191
052

prune203.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ 1 (/ (fabs y) (fabs (- x y))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/r*
12×add-exp-log
7×div-exp
6×add-cbrt-cube
5×div-inv
3×cbrt-undiv associate-/l*
2×pow1 rec-exp 1-exp
1×clear-num frac-2neg associate-/r/ pow-flip inv-pow add-log-exp
Counts
1 → 76
Calls
1 calls:
16.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

simplify4.1s

Counts
79 → 79
Iterations
IterNodes
done5032
32816
2940
1339
0142

prune318.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite365.0ms

Algorithm
rewrite-expression-head
Rules
4624×times-frac
3039×sqrt-prod
2112×add-sqr-sqrt
2111×*-un-lft-identity add-cube-cbrt
85×div-inv
52×associate-/r* associate-/l*
20×add-cbrt-cube add-exp-log
10×cbrt-undiv div-exp
5×pow1 sqrt-undiv
4×add-log-exp
3×clear-num frac-2neg
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/ associate-/l/
Counts
4 → 1836
Calls
4 calls:
2.0ms
(sqrt (fabs (- x y)))
14.0ms
(/ (sqrt (fabs y)) (sqrt (fabs (- x y))))
60.0ms
(/ (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))))
6.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))

series109.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(sqrt (fabs (- x y)))
38.0ms
(/ (sqrt (fabs y)) (sqrt (fabs (- x y))))
17.0ms
(/ (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))))
35.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))

simplify2.7s

Counts
1848 → 1848
Iterations
IterNodes
done5000
01402

prune8.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize22.0ms

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

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
1676×times-frac
1200×sqrt-prod
803×add-sqr-sqrt
800×*-un-lft-identity add-cube-cbrt
62×div-inv
49×associate-/r*
25×associate-/l*
13×add-cbrt-cube add-exp-log
5×pow1 cbrt-undiv div-exp
4×add-log-exp
3×sqrt-undiv clear-num frac-2neg
2×rem-sqrt-square sqrt-div
1×sqrt-pow1 pow1/2 associate-/r/ associate-/l/
Counts
4 → 826
Calls
4 calls:
8.0ms
(/ (fabs (- x y)) (fabs y))
3.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
6.0ms
(/ (sqrt (fabs y)) (sqrt (fabs (- x y))))
31.0ms
(/ (sqrt (/ (fabs (- x y)) (fabs y))) (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))))

series71.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(/ (fabs (- x y)) (fabs y))
19.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
25.0ms
(/ (sqrt (fabs y)) (sqrt (fabs (- x y))))
17.0ms
(/ (sqrt (/ (fabs (- x y)) (fabs y))) (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))))

simplify4.0s

Counts
838 → 838
Iterations
IterNodes
done5003
24889
12198
0885

prune3.7s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes185.0ms

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

sample584.0ms

Algorithm
intervals
Results
365.0ms9190×body80valid