Details

Time bar (total: 13.0s)

sample21.0ms

Algorithm
intervals
Results
12.0ms292×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
297
done97

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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:
9.0ms
(/ (fabs (- x y)) (fabs y))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(/ (fabs (- x y)) (fabs y))

simplify3.6s

Counts
30 → 30
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
052369
186360
2179332
3330332
4551332
5867332
62008332
done5000332

prune79.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
332×add-sqr-sqrt
327×sqrt-prod
312×times-frac
177×add-cube-cbrt *-un-lft-identity
68×swap-sqr
40×associate-*r* associate-*l*
25×unswap-sqr
20×add-exp-log add-cbrt-cube
12×pow1 associate-/r* associate-/l*
6×cbrt-undiv sqrt-undiv div-exp div-inv
4×prod-exp cbrt-unprod add-log-exp
2×frac-2neg clear-num
1×pow2 frac-times rem-sqrt-square sqrt-pow1 pow-plus pow1/2 sqrt-unprod associate-*r/ pow-prod-down associate-*l/ rem-square-sqrt pow-sqr *-commutative pow-prod-up
Counts
4 → 334
Calls
4 calls:
1.0ms
(sqrt (fabs (- x y)))
10.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
8.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
118.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

series88.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (fabs (- x y)))
21.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
32.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
18.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

simplify2.6s

Counts
346 → 346
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02058992
15997909
218196632
done50006343

prune998.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

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

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
133×add-sqr-sqrt
127×sqrt-prod
118×times-frac
80×add-cube-cbrt *-un-lft-identity
40×associate-*l*
16×associate-*r*
15×unswap-sqr
13×add-exp-log add-cbrt-cube
9×associate-/r* associate-/l*
7×pow1
5×div-inv
4×add-log-exp
3×cbrt-undiv sqrt-undiv sqrt-div div-exp
2×rem-sqrt-square frac-2neg prod-exp clear-num cbrt-unprod
1×frac-times sqrt-pow1 pow1/2 sqrt-unprod associate-*r/ swap-sqr pow-prod-down associate-*l/ rem-square-sqrt *-commutative
Counts
4 → 203
Calls
4 calls:
10.0ms
(/ (fabs (- x y)) (fabs y))
7.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
16.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
82.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

series79.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(/ (fabs (- x y)) (fabs y))
27.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
21.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
18.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

simplify3.8s

Counts
215 → 215
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
02024089
13883758
210373625
338503620
done50013620

prune743.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes28.0ms

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

sample624.0ms

Algorithm
intervals
Results
398.0ms9136×body80valid