Details

Time bar (total: 16.1s)

sample27.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
175
285
done85

prune4.0ms

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
(sqrt (fabs (- x y)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt sqrt-prod
2×pow1 add-cube-cbrt *-un-lft-identity
1×add-exp-log rem-sqrt-square sqrt-pow1 pow1/2 add-cbrt-cube add-log-exp
Counts
1 → 13
Calls
1 calls:
5.0ms
(sqrt (fabs (- x y)))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(sqrt (fabs (- x y)))

simplify2.5s

Counts
16 → 16
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
020115
12799
23196
33596
44196
55196
67296
714896
844596
9186896
done500096

prune56.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.5b
(pow (sqrt (fabs (- x y))) 3)
20.0b
(cbrt (pow (sqrt (fabs (- x y))) 3))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
15×add-sqr-sqrt sqrt-prod
14×add-cube-cbrt *-un-lft-identity
12×unpow-prod-down cube-prod
6×pow1
4×add-exp-log add-cbrt-cube
3×pow-unpow pow-pow add-log-exp
2×cube-mult sqrt-pow1 pow1/2 unpow3 sqr-pow
1×pow-to-exp rem-sqrt-square pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
3 → 72
Calls
3 calls:
2.0ms
(sqrt (fabs (- x y)))
8.0ms
(pow (sqrt (fabs (- x y))) 3)
7.0ms
(cbrt (pow (sqrt (fabs (- x y))) 3))

series74.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(sqrt (fabs (- x y)))
43.0ms
(pow (sqrt (fabs (- x y))) 3)
19.0ms
(cbrt (pow (sqrt (fabs (- x y))) 3))

simplify3.6s

Counts
81 → 81
Iterations

Useful iterations: 3 (958.0ms)

IterNodesCost
069944
1136625
2350619
32654607
done5000607

prune242.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.3b
(* (cbrt (fabs (- x y))) (cbrt (sqrt (fabs (- x y)))))
0.5b
(cbrt (sqrt (fabs (- x y))))
0.5b
(cbrt (fabs (- x y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
26×cbrt-prod
13×add-cube-cbrt *-un-lft-identity
11×sqrt-prod
9×associate-*r*
7×pow1
6×add-exp-log associate-*l* unswap-sqr
4×pow1/3 add-cbrt-cube add-log-exp
2×pow-prod-down
1×rem-sqrt-square sqrt-pow1 pow1/2 pow3 prod-exp *-commutative cbrt-unprod
Counts
4 → 72
Calls
4 calls:
1.0ms
(sqrt (fabs (- x y)))
21.0ms
(* (cbrt (fabs (- x y))) (cbrt (sqrt (fabs (- x y)))))
2.0ms
(cbrt (sqrt (fabs (- x y))))
1.0ms
(cbrt (fabs (- x y)))

series171.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(sqrt (fabs (- x y)))
11.0ms
(* (cbrt (fabs (- x y))) (cbrt (sqrt (fabs (- x y)))))
73.0ms
(cbrt (sqrt (fabs (- x y))))
75.0ms
(cbrt (fabs (- x y)))

simplify5.3s

Counts
84 → 84
Iterations

Useful iterations: 3 (317.0ms)

IterNodesCost
066962
1109917
2287857
3860844
43570844
done5000844

prune317.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 1 expressions with local error:

20.0b
(cbrt (pow (fabs (- x y)) 3/2))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
7×cbrt-prod
3×add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity
1×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp sqr-pow
Counts
1 → 15
Calls
1 calls:
4.0ms
(cbrt (pow (fabs (- x y)) 3/2))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(cbrt (pow (fabs (- x y)) 3/2))

simplify2.9s

Counts
18 → 18
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
034211
152203
278189
3120186
4247186
5761186
63078186
done5001186

prune51.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes94.0ms

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
055
done55

end0.0ms

sample487.0ms

Algorithm
intervals
Results
294.0ms8000×body80valid