Details

Time bar (total: 9.6s)

sample33.0ms

Algorithm
intervals
Results
13.0ms293×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

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:
11.0ms
(/ (fabs (- x y)) (fabs y))

series20.0ms

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

simplify1.3s

Counts
30 → 30
Iterations

Useful iterations: 3 (205.0ms)

IterNodesCost
052369
191360
2265334
31230332
done5000332

prune74.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt sqrt-prod
71×times-frac
58×add-cube-cbrt *-un-lft-identity
21×pow1
18×swap-sqr
16×associate-*r* associate-*l*
10×sqrt-pow1 pow1/2
9×unswap-sqr
8×add-exp-log add-cbrt-cube
7×div-inv
6×sqrt-div
5×pow-prod-up
4×rem-sqrt-square add-log-exp
3×pow-prod-down associate-/r* pow-sqr associate-/l*
1×cbrt-undiv pow2 frac-times frac-2neg pow-plus sqrt-unprod associate-*r/ div-exp associate-*l/ prod-exp clear-num rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 164
Calls
4 calls:
5.0ms
(/ (fabs (- x y)) (fabs y))
4.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
8.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
63.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

series91.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(/ (fabs (- x y)) (fabs y))
38.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
26.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
15.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

simplify1.0s

Counts
176 → 176
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01543207
12762407
215142237
done50012199

prune538.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (/ (fabs (- x y)) (fabs y))))
0.1b
(sqrt (sqrt (/ (fabs (- x y)) (fabs y))))
0.2b
(* (sqrt (/ (fabs (- x y)) (fabs y))) (* (sqrt (sqrt (/ (fabs (- x y)) (fabs y)))) (sqrt (sqrt (/ (fabs (- x y)) (fabs y))))))
0.3b
(* (sqrt (sqrt (/ (fabs (- x y)) (fabs y)))) (sqrt (sqrt (/ (fabs (- x y)) (fabs y)))))

rewrite275.0ms

Algorithm
rewrite-expression-head
Rules
246×sqrt-prod
130×add-sqr-sqrt
91×sqrt-pow1
74×times-frac
69×pow1
64×add-cube-cbrt *-un-lft-identity
47×pow1/2
39×pow-prod-up
35×associate-*l*
32×sqrt-div
27×swap-sqr
20×associate-*r*
19×unswap-sqr
12×pow-prod-down
11×add-exp-log pow-sqr add-cbrt-cube
7×div-inv
6×frac-times rem-sqrt-square associate-*r/
4×associate-*l/ prod-exp cbrt-unprod add-log-exp
3×sqrt-unprod
2×*-commutative
1×pow2 pow-plus rem-square-sqrt
Counts
4 → 241
Calls
4 calls:
7.0ms
(sqrt (sqrt (/ (fabs (- x y)) (fabs y))))
11.0ms
(sqrt (sqrt (/ (fabs (- x y)) (fabs y))))
144.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (* (sqrt (sqrt (/ (fabs (- x y)) (fabs y)))) (sqrt (sqrt (/ (fabs (- x y)) (fabs y))))))
97.0ms
(* (sqrt (sqrt (/ (fabs (- x y)) (fabs y)))) (sqrt (sqrt (/ (fabs (- x y)) (fabs y)))))

series182.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(sqrt (sqrt (/ (fabs (- x y)) (fabs y))))
63.0ms
(sqrt (sqrt (/ (fabs (- x y)) (fabs y))))
20.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (* (sqrt (sqrt (/ (fabs (- x y)) (fabs y)))) (sqrt (sqrt (/ (fabs (- x y)) (fabs y))))))
30.0ms
(* (sqrt (sqrt (/ (fabs (- x y)) (fabs y)))) (sqrt (sqrt (/ (fabs (- x y)) (fabs y)))))

simplify4.4s

Counts
253 → 253
Iterations

Useful iterations: done (4.4s)

IterNodesCost
02365777
14893539
230363270
done50003194

prune839.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes59.0ms

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

sample658.0ms

Algorithm
intervals
Results
347.0ms9124×body80valid