Details

Time bar (total: 13.4s)

sample31.0ms

Algorithm
intervals
Results
13.0ms282×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
297
done97

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:
5.0ms
(/ (fabs (- x y)) (fabs y))

series14.0ms

Counts
1 → 3
Calls
1 calls:
14.0ms
(/ (fabs (- x y)) (fabs y))

simplify1.3s

Counts
30 → 30
Iterations

Useful iterations: 3 (201.0ms)

IterNodesCost
052369
191360
2265334
31230332
done5000332

prune107.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
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×pow-flip frac-2neg clear-num associate-/r/ inv-pow add-log-exp
Counts
1 → 76
Calls
1 calls:
20.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

simplify1.8s

Counts
79 → 79
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01421374
13451169
218451082
done50011004

prune130.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

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)))))
0.4b
(/ (fabs y) (sqrt (fabs (- x y))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
160×add-sqr-sqrt
158×add-cube-cbrt *-un-lft-identity
150×sqrt-prod
28×associate-/r*
11×add-exp-log add-cbrt-cube
9×div-inv associate-/l*
6×pow1
4×cbrt-undiv div-exp add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×associate-/r/
Counts
4 → 240
Calls
4 calls:
1.0ms
(sqrt (fabs (- x y)))
1.0ms
(sqrt (fabs (- x y)))
23.0ms
(/ (sqrt (fabs (- x y))) (/ (fabs y) (sqrt (fabs (- x y)))))
11.0ms
(/ (fabs y) (sqrt (fabs (- x y))))

series95.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(sqrt (fabs (- x y)))
19.0ms
(sqrt (fabs (- x y)))
20.0ms
(/ (sqrt (fabs (- x y))) (/ (fabs y) (sqrt (fabs (- x y)))))
45.0ms
(/ (fabs y) (sqrt (fabs (- x y))))

simplify476.0ms

Counts
252 → 252
Iterations

Useful iterations: done (465.0ms)

IterNodesCost
02616168
16605605
done50015428

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sqrt (sqrt (fabs (- x y)))) (sqrt (/ (fabs y) (sqrt (fabs (- x y))))))
0.2b
(* (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (/ (fabs y) (sqrt (fabs (- x y)))))) (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (/ (fabs y) (sqrt (fabs (- x y)))))))
0.4b
(/ (fabs y) (sqrt (fabs (- x y))))
0.4b
(/ (fabs y) (sqrt (fabs (- x y))))

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
4420×sqrt-prod
3393×times-frac
2778×add-sqr-sqrt
1336×add-cube-cbrt *-un-lft-identity
500×swap-sqr
230×associate-*r* associate-*l*
169×unswap-sqr
65×div-inv
37×associate-/r*
22×add-exp-log add-cbrt-cube
15×associate-/l*
11×pow1
7×cbrt-undiv div-exp
5×sqrt-undiv sqrt-div associate-/r/
4×prod-exp cbrt-unprod add-log-exp
3×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
4 → 1506
Calls
4 calls:
33.0ms
(/ (sqrt (sqrt (fabs (- x y)))) (sqrt (/ (fabs y) (sqrt (fabs (- x y))))))
988.0ms
(* (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (/ (fabs y) (sqrt (fabs (- x y)))))) (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (/ (fabs y) (sqrt (fabs (- x y)))))))
19.0ms
(/ (fabs y) (sqrt (fabs (- x y))))
12.0ms
(/ (fabs y) (sqrt (fabs (- x y))))

series120.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (sqrt (sqrt (fabs (- x y)))) (sqrt (/ (fabs y) (sqrt (fabs (- x y))))))
17.0ms
(* (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (/ (fabs y) (sqrt (fabs (- x y)))))) (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (/ (fabs y) (sqrt (fabs (- x y)))))))
39.0ms
(/ (fabs y) (sqrt (fabs (- x y))))
34.0ms
(/ (fabs y) (sqrt (fabs (- x y))))

simplify2.4s

Counts
1518 → 1518
Iterations

Useful iterations: done (2.3s)

IterNodesCost
086879844
1315074826
done500172821

prune3.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
done67

end0.0ms

sample721.0ms

Algorithm
intervals
Results
368.0ms9161×body80valid