Details

Time bar (total: 13.2s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

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

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

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

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(sqrt (fabs (- x y)))

simplify2.3s

Counts
16 → 16
Iterations

Useful iterations: 2 (8.0ms)

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

prune52.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (cbrt (fabs (- x y))))
0.4b
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
0.6b
(cbrt (fabs (- x y)))
0.6b
(cbrt (fabs (- x y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×cbrt-prod sqrt-prod
12×add-cube-cbrt *-un-lft-identity
9×associate-*r*
7×pow1
6×add-exp-log add-cbrt-cube
4×add-log-exp
3×pow1/3 associate-*l* unswap-sqr
2×rem-sqrt-square sqrt-pow1
1×pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 66
Calls
4 calls:
2.0ms
(sqrt (cbrt (fabs (- x y))))
17.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
1.0ms
(cbrt (fabs (- x y)))
1.0ms
(cbrt (fabs (- x y)))

series270.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(sqrt (cbrt (fabs (- x y))))
67.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
87.0ms
(cbrt (fabs (- x y)))
65.0ms
(cbrt (fabs (- x y)))

simplify3.0s

Counts
78 → 78
Iterations

Useful iterations: 3 (261.0ms)

IterNodesCost
068924
1114858
2302778
3759772
42686772
done5001772

prune266.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.5b
(pow (sqrt (fabs (- x y))) 3)
19.2b
(cbrt (pow (sqrt (fabs (- x y))) 3))

rewrite21.0ms

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))

series61.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(sqrt (fabs (- x y)))
26.0ms
(pow (sqrt (fabs (- x y))) 3)
17.0ms
(cbrt (pow (sqrt (fabs (- x y))) 3))

simplify3.3s

Counts
81 → 81
Iterations

Useful iterations: 3 (941.0ms)

IterNodesCost
069944
1136625
2350619
32654607
done5000607

prune114.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.2b
(* (sqrt (fabs (- x y))) (fabs (- x y)))
19.2b
(cbrt (* (sqrt (fabs (- x y))) (fabs (- x y))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×pow1
7×add-cube-cbrt *-un-lft-identity sqrt-prod
6×associate-*l*
5×add-exp-log add-cbrt-cube
3×sqrt-pow1 pow1/2 associate-*r* add-log-exp
2×pow-plus cube-unmult pow-prod-up unswap-sqr
1×cbrt-prod rem-sqrt-square pow1/3 pow-prod-down prod-exp *-commutative rem-cbrt-cube cbrt-unprod
Counts
3 → 50
Calls
3 calls:
1.0ms
(sqrt (fabs (- x y)))
10.0ms
(* (sqrt (fabs (- x y))) (fabs (- x y)))
8.0ms
(cbrt (* (sqrt (fabs (- x y))) (fabs (- x y))))

series82.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(sqrt (fabs (- x y)))
51.0ms
(* (sqrt (fabs (- x y))) (fabs (- x y)))
11.0ms
(cbrt (* (sqrt (fabs (- x y))) (fabs (- x y))))

simplify2.7s

Counts
59 → 59
Iterations

Useful iterations: done (2.7s)

IterNodesCost
051609
185541
2189443
3350403
4703403
52016399
done5000397

prune156.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes145.0ms

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

sample574.0ms

Algorithm
intervals
Results
272.0ms8000×body80valid