Details

Time bar (total: 40.4s)

sample37.0ms

Algorithm
intervals
Results
18.0ms288×body80valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done9
29
18
06

prune9.0ms

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 expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
10.0ms
(/ (fabs (- x y)) (fabs y))

series18.0ms

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

simplify8.1s

Counts
32 → 32
Iterations
IterNodes
done5004
54515
41746
3602
2241
193
054

prune507.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize66.0ms

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))))

rewrite439.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 327
Calls
3 calls:
17.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
16.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
356.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

series102.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
41.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
20.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

simplify8.4s

Counts
336 → 336
Iterations
IterNodes
done5001
21883
1688
0207

prune4.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

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

rewrite837.0ms

Algorithm
rewrite-expression-head
Rules
232×sqrt-prod
125×times-frac
111×add-sqr-sqrt
91×add-cube-cbrt *-un-lft-identity
85×associate-*r*
47×add-exp-log add-cbrt-cube
18×prod-exp cbrt-unprod
17×pow1
14×cbrt-undiv div-exp
8×sqrt-pow1 pow3
6×associate-/r* associate-/l*
5×frac-times associate-*l/
4×expm1-log1p-u rem-sqrt-square sqrt-undiv pow-plus pow1/2 pow-prod-up log1p-expm1-u add-log-exp
3×associate-*r/ pow-prod-down
2×sqrt-unprod div-inv
1×frac-2neg associate-*l* clear-num *-commutative
Counts
4 → 239
Calls
4 calls:
18.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
546.0ms
(* (* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs y))))) (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs y)))))
6.0ms
(sqrt (sqrt (fabs y)))
171.0ms
(sqrt (sqrt (fabs y)))

series2.4s

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
21.0ms
(* (* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs y))))) (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs y)))))
1.9s
(sqrt (sqrt (fabs y)))
437.0ms
(sqrt (sqrt (fabs y)))

simplify10.5s

Counts
251 → 251
Iterations
IterNodes
done5000
22620
1807
0285

prune2.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes267.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done6
06

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.2s9130×body80valid