Details

Time bar (total: 2.1s)

sample14.0ms

Algorithm
intervals
Results
5.0ms295×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
194
294
done94

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(/ (fabs (- x y)) (fabs y))

simplify89.0ms

Counts
30 → 30
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
086226
1235208
2598208
31534208
44378208
55002208
done5002208

prune65.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.2b
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
0.2b
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
0.3b
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

rewrite109.0ms

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)))
8.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
10.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
67.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

series62.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(sqrt (fabs (- x y)))
23.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
20.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
9.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

simplify89.0ms

Counts
346 → 346
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06335924
134305316
250025249
done50025249

prune532.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fabs y)) (cbrt (fabs y)))
0.6b
(cbrt (fabs y))
0.6b
(cbrt (fabs y))
0.6b
(cbrt (fabs y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
11.0ms
(* (cbrt (fabs y)) (cbrt (fabs y)))
1.0ms
(cbrt (fabs y))
1.0ms
(cbrt (fabs y))
1.0ms
(cbrt (fabs y))

series407.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(* (cbrt (fabs y)) (cbrt (fabs y)))
98.0ms
(cbrt (fabs y))
96.0ms
(cbrt (fabs y))
100.0ms
(cbrt (fabs y))

simplify74.0ms

Counts
85 → 85
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
083426
1349374
22568342
35001335
done5001335

prune172.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes51.0ms

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
064
164
done64

end0.0ms

sample351.0ms

Algorithm
intervals
Results
158.0ms9152×body80valid