Details

Time bar (total: 40.3s)

sample36.0ms

Algorithm
intervals
Results
13.0ms297×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
297
done97

prune6.0ms

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))

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))

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(/ (fabs (- x y)) (fabs y))

simplify1.1s

Counts
30 → 30
Iterations

Useful iterations: 3 (179.0ms)

IterNodesCost
052369
191360
2265334
31230332
done5000332

prune125.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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:
10.0ms
(/ (fabs y) (fabs (- x y)))
23.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

series27.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ (fabs y) (fabs (- x y)))
16.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

simplify2.9s

Counts
109 → 109
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01491745
13621531
220081410
done50011338

prune363.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (/ (fabs y) (fabs (- x y))))
0.1b
(sqrt (/ (fabs y) (fabs (- x y))))
0.1b
(/ 1 (sqrt (/ (fabs y) (fabs (- x y)))))
0.2b
(/ (/ 1 (sqrt (/ (fabs y) (fabs (- x y))))) (sqrt (/ (fabs y) (fabs (- x y)))))

rewrite285.0ms

Algorithm
rewrite-expression-head
Rules
2713×times-frac
1443×sqrt-prod
1202×add-sqr-sqrt
1196×add-cube-cbrt *-un-lft-identity
130×div-inv
56×associate-/l*
32×associate-/r*
21×sqrt-div
19×associate-/r/
17×add-exp-log
15×pow1
11×add-cbrt-cube
8×pow-flip div-exp
7×sqrt-pow1 pow1/2
6×pow-div
4×cbrt-undiv rem-sqrt-square add-log-exp
2×rec-exp frac-2neg 1-exp clear-num inv-pow
1×associate-/l/
Counts
4 → 1077
Calls
4 calls:
14.0ms
(sqrt (/ (fabs y) (fabs (- x y))))
8.0ms
(sqrt (/ (fabs y) (fabs (- x y))))
23.0ms
(/ 1 (sqrt (/ (fabs y) (fabs (- x y)))))
66.0ms
(/ (/ 1 (sqrt (/ (fabs y) (fabs (- x y))))) (sqrt (/ (fabs y) (fabs (- x y)))))

series117.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(sqrt (/ (fabs y) (fabs (- x y))))
42.0ms
(sqrt (/ (fabs y) (fabs (- x y))))
38.0ms
(/ 1 (sqrt (/ (fabs y) (fabs (- x y)))))
10.0ms
(/ (/ 1 (sqrt (/ (fabs y) (fabs (- x y))))) (sqrt (/ (fabs y) (fabs (- x y)))))

simplify4.1s

Counts
1089 → 1089
Iterations

Useful iterations: done (4.0s)

IterNodesCost
0148543272
1365538736
done500035557

prune3.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ 1 (sqrt (fabs y))) (sqrt (sqrt (/ (fabs y) (fabs (- x y))))))
0.2b
(/ 1 (sqrt (fabs y)))
0.3b
(* (/ (/ 1 (sqrt (fabs y))) (sqrt (sqrt (/ (fabs y) (fabs (- x y)))))) (/ (/ 1 (sqrt (/ 1 (fabs (- x y))))) (sqrt (sqrt (/ (fabs y) (fabs (- x y)))))))
0.3b
(/ 1 (sqrt (/ 1 (fabs (- x y)))))

rewrite8.0s

Algorithm
rewrite-expression-head
Rules
8424×times-frac
6668×sqrt-prod
6462×add-sqr-sqrt
3038×*-un-lft-identity
2238×add-cube-cbrt
1012×associate-*r*
777×unswap-sqr
423×associate-*l*
222×div-inv
121×add-exp-log
70×div-exp
49×add-cbrt-cube
41×associate-/r*
28×associate-/l*
26×sqrt-div
25×prod-exp
23×cbrt-undiv associate-/r/
13×rec-exp 1-exp
11×pow1
9×pow-flip cbrt-unprod
4×sqrt-pow1 add-log-exp
3×frac-2neg clear-num inv-pow
2×pow1/2
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 2868
Calls
4 calls:
60.0ms
(/ (/ 1 (sqrt (fabs y))) (sqrt (sqrt (/ (fabs y) (fabs (- x y))))))
16.0ms
(/ 1 (sqrt (fabs y)))
7.3s
(* (/ (/ 1 (sqrt (fabs y))) (sqrt (sqrt (/ (fabs y) (fabs (- x y)))))) (/ (/ 1 (sqrt (/ 1 (fabs (- x y))))) (sqrt (sqrt (/ (fabs y) (fabs (- x y)))))))
13.0ms
(/ 1 (sqrt (/ 1 (fabs (- x y)))))

series186.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(/ (/ 1 (sqrt (fabs y))) (sqrt (sqrt (/ (fabs y) (fabs (- x y))))))
26.0ms
(/ 1 (sqrt (fabs y)))
15.0ms
(* (/ (/ 1 (sqrt (fabs y))) (sqrt (sqrt (/ (fabs y) (fabs (- x y)))))) (/ (/ 1 (sqrt (/ 1 (fabs (- x y))))) (sqrt (sqrt (/ (fabs y) (fabs (- x y)))))))
21.0ms
(/ 1 (sqrt (/ 1 (fabs (- x y)))))

simplify3.0s

Counts
2880 → 2880
Iterations

Useful iterations: done (2.8s)

IterNodesCost
02585140384
done5000136005

prune15.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes172.0ms

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

sample742.0ms

Algorithm
intervals
Results
405.0ms9108×body80valid