Details

Time bar (total: 20.4s)

sample13.0ms

Algorithm
intervals
Results
6.0ms292×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
187
297
done97

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

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:
2.0ms
(/ (fabs (- x y)) (fabs y))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(/ (fabs (- x y)) (fabs y))

simplify2.7s

Counts
30 → 30
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
052369
189360
2235332
3623332
41336332
52504332
done5000332

prune71.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (fabs y) (fabs (- x y)))
0.1b
(/ 1 (/ (fabs y) (fabs (- x y))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 103
Calls
2 calls:
2.0ms
(/ (fabs y) (fabs (- x y)))
5.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

series15.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ (fabs y) (fabs (- x y)))
7.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

simplify8.6s

Counts
109 → 109
Iterations

Useful iterations: 3 (900.0ms)

IterNodesCost
01491745
13211575
210331356
321491338
442161338
done50011338

prune150.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (fabs (- x y)) (/ 1 (fabs y)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
11×times-frac
10×add-exp-log *-un-lft-identity
9×add-cube-cbrt
6×add-cbrt-cube
4×prod-exp
3×pow1 associate-*l* unswap-sqr
2×div-exp cbrt-unprod
1×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv add-log-exp
Counts
1 → 36
Calls
1 calls:
8.0ms
(* (fabs (- x y)) (/ 1 (fabs y)))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(* (fabs (- x y)) (/ 1 (fabs y)))

simplify4.0s

Counts
39 → 39
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
076484
1183415
2598335
31312335
42722335
done5000335

prune70.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite265.0ms

Algorithm
rewrite-expression-head
Rules
4624×times-frac
3039×sqrt-prod
2112×add-sqr-sqrt
2111×add-cube-cbrt *-un-lft-identity
85×div-inv
52×associate-/r* associate-/l*
20×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp
5×pow1 sqrt-undiv
4×add-log-exp
3×frac-2neg clear-num
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/ associate-/l/
Counts
4 → 1836
Calls
4 calls:
1.0ms
(sqrt (fabs (- x y)))
54.0ms
(/ (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))))
4.0ms
(/ (sqrt (fabs y)) (sqrt (fabs (- x y))))
5.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))

series52.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sqrt (fabs (- x y)))
8.0ms
(/ (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))))
18.0ms
(/ (sqrt (fabs y)) (sqrt (fabs (- x y))))
17.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))

simplify1.8s

Counts
1848 → 1848
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0140278864
1428070213
done500068957

prune2.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes52.0ms

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

sample310.0ms

Algorithm
intervals
Results
169.0ms9108×body80valid