Details

Time bar (total: 2.1s)

sample13.0ms

Algorithm
intervals
Results
5.0ms295×body80valid

simplify4.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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 expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
5.0ms
(/ (fabs (- x y)) (fabs y))

series9.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (fabs (- x y)) (fabs y))

simplify86.0ms

Counts
32 → 32
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
088236
1237218
2600218
31536218
44404218
55002218
done5002218

prune72.0ms

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))))

rewrite94.0ms

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×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u 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 → 342
Calls
4 calls:
1.0ms
(sqrt (fabs (- x y)))
7.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
7.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
58.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

series60.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sqrt (fabs (- x y)))
19.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
19.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
13.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

simplify89.0ms

Counts
354 → 354
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
06395988
134375380
250015313
done50015313

prune556.0ms

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))

rewrite14.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
10.0ms
(* (cbrt (fabs y)) (cbrt (fabs y)))
1.0ms
(cbrt (fabs y))
1.0ms
(cbrt (fabs y))
1.0ms
(cbrt (fabs y))

series437.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(* (cbrt (fabs y)) (cbrt (fabs y)))
113.0ms
(cbrt (fabs y))
100.0ms
(cbrt (fabs y))
99.0ms
(cbrt (fabs y))

simplify79.0ms

Counts
93 → 93
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
087456
1354404
22580372
35001365
done5001365

prune200.0ms

Pruning

3 alts after pruning (0 fresh and 3 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
064
164
done64

end0.0ms

sample331.0ms

Algorithm
intervals
Results
147.0ms9152×body80valid