Details

Time bar (total: 14.9s)

sample23.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify5.0ms

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)))

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 expm1-log1p-u rem-sqrt-square sqrt-pow1 pow1/2 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
1 → 15
Calls
1 calls:
3.0ms
(sqrt (fabs (- x y)))

series13.0ms

Counts
1 → 3
Calls
1 calls:
13.0ms
(sqrt (fabs (- x y)))

simplify2.1s

Counts
18 → 18
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
022127
129111
233108
337108
443108
553108
674108
7139108
8431108
91844108
done5000108

prune51.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite11.0ms

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×expm1-log1p-u pow-unpow pow-pow log1p-expm1-u 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 → 78
Calls
3 calls:
1.0ms
(sqrt (fabs (- x y)))
4.0ms
(pow (sqrt (fabs (- x y))) 3)
4.0ms
(cbrt (pow (sqrt (fabs (- x y))) 3))

series66.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(sqrt (fabs (- x y)))
37.0ms
(pow (sqrt (fabs (- x y))) 3)
18.0ms
(cbrt (pow (sqrt (fabs (- x y))) 3))

simplify3.5s

Counts
87 → 87
Iterations

Useful iterations: 3 (787.0ms)

IterNodesCost
075990
1142665
2362659
32660647
done5001647

prune260.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
26×cbrt-prod
13×add-cube-cbrt *-un-lft-identity
11×sqrt-prod
9×associate-*l*
7×pow1
6×add-exp-log associate-*r* unswap-sqr
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down
1×rem-sqrt-square sqrt-pow1 cube-unmult pow1/2 prod-exp *-commutative cbrt-unprod
Counts
4 → 80
Calls
4 calls:
3.0ms
(sqrt (fabs (- x y)))
18.0ms
(* (cbrt (sqrt (fabs (- x y)))) (cbrt (fabs (- x y))))
1.0ms
(cbrt (sqrt (fabs (- x y))))
1.0ms
(cbrt (fabs (- x y)))

series183.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(sqrt (fabs (- x y)))
12.0ms
(* (cbrt (sqrt (fabs (- x y)))) (cbrt (fabs (- x y))))
72.0ms
(cbrt (sqrt (fabs (- x y))))
88.0ms
(cbrt (fabs (- x y)))

simplify4.2s

Counts
92 → 92
Iterations

Useful iterations: 3 (213.0ms)

IterNodesCost
0731023
1114988
2277923
3748910
43200910
done5000910

prune305.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

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 expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp sqr-pow
Counts
1 → 17
Calls
1 calls:
4.0ms
(cbrt (pow (fabs (- x y)) 3/2))

series13.0ms

Counts
1 → 3
Calls
1 calls:
13.0ms
(cbrt (pow (fabs (- x y)) 3/2))

simplify3.4s

Counts
20 → 20
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
036227
154219
282205
3126202
4250202
5763202
63069202
done5000202

prune66.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes99.0ms

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

sample459.0ms

Algorithm
intervals
Results
253.0ms8000×body80valid