Details

Time bar (total: 58.9s)

sample39.0ms

Algorithm
intervals
Results
13.0ms288×body80valid

simplify8.0ms

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

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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 frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 27
Calls
1 calls:
10.0ms
(/ (fabs (- x y)) (fabs y))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(/ (fabs (- x y)) (fabs y))

simplify11.1s

Counts
30 → 30
Iterations
IterNodes
done5000
53767
41680
3592
2237
191
052

prune224.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 3 expressions with local error:

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

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
329×add-sqr-sqrt
324×sqrt-prod
312×times-frac
175×add-cube-cbrt *-un-lft-identity
68×swap-sqr
40×associate-*r* associate-*l*
25×unswap-sqr
19×add-exp-log add-cbrt-cube
12×associate-/r* associate-/l*
10×pow1
6×cbrt-undiv sqrt-undiv div-exp div-inv
4×prod-exp cbrt-unprod
3×add-log-exp
2×frac-2neg clear-num
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ pow-prod-down associate-*l/ rem-square-sqrt pow-sqr *-commutative pow-prod-up
Counts
3 → 321
Calls
3 calls:
15.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
15.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
123.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

series226.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
72.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
62.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

simplify7.5s

Counts
330 → 330
Iterations
IterNodes
done5000
21839
1684
0203

prune2.8s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (cbrt (/ (/ (fabs (- x y)) (sqrt (fabs y))) (/ (fabs y) (sqrt (fabs (- x y)))))))
0.3b
(/ (fabs y) (sqrt (fabs (- x y))))
0.4b
(/ (fabs (- x y)) (sqrt (fabs y)))
6.7b
(cbrt (/ (/ (fabs (- x y)) (sqrt (fabs y))) (/ (fabs y) (sqrt (fabs (- x y))))))

rewrite2.5s

Algorithm
rewrite-expression-head
Rules
2773×times-frac
1465×add-sqr-sqrt
1206×add-cube-cbrt *-un-lft-identity
1028×cbrt-prod
926×sqrt-prod
492×associate-*r*
93×div-inv
55×unswap-sqr
40×associate-*l*
13×add-exp-log
12×associate-/r*
11×add-cbrt-cube
6×pow1 associate-/l*
4×add-log-exp
3×cbrt-undiv cbrt-div div-exp
2×frac-2neg prod-exp clear-num associate-/r/ cbrt-unprod
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 1179
Calls
4 calls:
1.3s
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (cbrt (/ (/ (fabs (- x y)) (sqrt (fabs y))) (/ (fabs y) (sqrt (fabs (- x y)))))))
14.0ms
(/ (fabs y) (sqrt (fabs (- x y))))
50.0ms
(/ (fabs (- x y)) (sqrt (fabs y)))
73.0ms
(cbrt (/ (/ (fabs (- x y)) (sqrt (fabs y))) (/ (fabs y) (sqrt (fabs (- x y))))))

series145.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (cbrt (/ (/ (fabs (- x y)) (sqrt (fabs y))) (/ (fabs y) (sqrt (fabs (- x y)))))))
46.0ms
(/ (fabs y) (sqrt (fabs (- x y))))
40.0ms
(/ (fabs (- x y)) (sqrt (fabs y)))
39.0ms
(cbrt (/ (/ (fabs (- x y)) (sqrt (fabs y))) (/ (fabs y) (sqrt (fabs (- x y))))))

simplify13.1s

Counts
1191 → 1191
Iterations
IterNodes
done5002
14670
01737

prune18.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes657.0ms

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

sample1.8s

Algorithm
intervals
Results
738.0ms9130×body80valid