Details

Time bar (total: 13.7s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
175
285
done85

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite2.0ms

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:
1.0ms
(sqrt (fabs (- x y)))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(sqrt (fabs (- x y)))

simplify1.9s

Counts
16 → 16
Iterations

Useful iterations: 2 (23.0ms)

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

prune29.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.1b
(sqrt (sqrt (fabs (- x y))))
0.1b
(sqrt (sqrt (fabs (- x y))))
0.5b
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
89×sqrt-prod
56×add-sqr-sqrt
41×sqrt-pow1
32×pow1
21×add-cube-cbrt *-un-lft-identity pow1/2
15×swap-sqr
9×associate-*r* associate-*l* pow-prod-up unswap-sqr
6×add-exp-log add-cbrt-cube
5×rem-sqrt-square pow-prod-down pow-sqr
4×add-log-exp
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 126
Calls
4 calls:
1.0ms
(sqrt (fabs (- x y)))
2.0ms
(sqrt (sqrt (fabs (- x y))))
3.0ms
(sqrt (sqrt (fabs (- x y))))
27.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

series140.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(sqrt (fabs (- x y)))
59.0ms
(sqrt (sqrt (fabs (- x y))))
52.0ms
(sqrt (sqrt (fabs (- x y))))
18.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

simplify2.0s

Counts
138 → 138
Iterations

Useful iterations: done (2.0s)

IterNodesCost
0811826
11271059
2272998
3550976
41166956
done5000938

prune242.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
0.5b
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))))
0.6b
(cbrt (fabs (- x y)))
0.6b
(cbrt (fabs (- x y)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
14×add-cube-cbrt *-un-lft-identity
13×pow1 associate-*r*
12×associate-*l*
10×cbrt-prod
8×add-exp-log add-cbrt-cube
6×pow-prod-down unswap-sqr
4×sqrt-pow1 add-log-exp
2×pow1/2 pow1/3 prod-exp *-commutative cbrt-unprod
1×sqrt-unprod
Counts
4 → 79
Calls
4 calls:
13.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
40.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))))
1.0ms
(cbrt (fabs (- x y)))
1.0ms
(cbrt (fabs (- x y)))

series265.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
89.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))))
60.0ms
(cbrt (fabs (- x y)))
49.0ms
(cbrt (fabs (- x y)))

simplify4.9s

Counts
91 → 91
Iterations

Useful iterations: 3 (478.0ms)

IterNodesCost
0971609
11771508
25231401
313351395
439901395
done50011395

prune367.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y)))))
0.6b
(cbrt (sqrt (fabs (- x y))))
0.6b
(cbrt (sqrt (fabs (- x y))))
0.9b
(pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4)

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
51×sqrt-prod
48×cbrt-prod
36×unpow-prod-down
21×add-cube-cbrt *-un-lft-identity
18×unswap-sqr
16×associate-*l*
10×add-exp-log
9×associate-*r*
6×pow1
5×add-cbrt-cube sqr-pow
4×pow-pow add-log-exp
3×pow-unpow pow1/3 prod-exp
2×pow-to-exp sqrt-pow1 pow-exp
1×pow1/2 *-commutative sqrt-pow2 cbrt-unprod
Counts
4 → 113
Calls
4 calls:
47.0ms
(* (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y)))))
3.0ms
(cbrt (sqrt (fabs (- x y))))
3.0ms
(cbrt (sqrt (fabs (- x y))))
13.0ms
(pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4)

series220.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y)))))
46.0ms
(cbrt (sqrt (fabs (- x y))))
53.0ms
(cbrt (sqrt (fabs (- x y))))
101.0ms
(pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4)

simplify2.2s

Counts
125 → 125
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01162158
12252008
25511883
311911538
done50001459

prune440.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes209.0ms

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

sample660.0ms

Algorithm
intervals
Results
330.0ms8000×body80valid