Details

Time bar (total: 14.8s)

sample32.0ms

Algorithm
intervals
Results
8.0ms301×body80nan
8.0ms268×body80valid

simplify62.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01010
12110
24510
36510
49110
511010
612210
done12210

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (sqrt z)))
0.3b
(* y (sqrt z))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube add-log-exp
3×associate-*l*
2×unswap-sqr
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 33
Calls
2 calls:
2.0ms
(+ x (* y (sqrt z)))
5.0ms
(* y (sqrt z))

series83.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ x (* y (sqrt z)))
45.0ms
(* y (sqrt z))

simplify3.5s

Counts
39 → 39
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
086362
1220323
2545297
31505288
44324283
done5000283

prune104.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (fabs (cbrt z)))
0.3b
(* (* y (fabs (cbrt z))) (sqrt (cbrt z)))
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
11×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×cbrt-prod
6×sqrt-prod
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×pow1/3 *-commutative
1×unswap-sqr
Counts
4 → 64
Calls
4 calls:
3.0ms
(* y (fabs (cbrt z)))
9.0ms
(* (* y (fabs (cbrt z))) (sqrt (cbrt z)))
0.0ms
(cbrt z)
1.0ms
(cbrt z)

series504.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* y (fabs (cbrt z)))
113.0ms
(* (* y (fabs (cbrt z))) (sqrt (cbrt z)))
184.0ms
(cbrt z)
184.0ms
(cbrt z)

simplify1.3s

Counts
76 → 76
Iterations

Useful iterations: 3 (379.0ms)

IterNodesCost
096636
1211585
2668512
32282506
done5000506

prune237.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sqrt z)) (cbrt (sqrt z)))
0.5b
(cbrt z)
0.6b
(cbrt (sqrt z))
0.6b
(cbrt (sqrt z))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
55×cbrt-prod
43×add-sqr-sqrt
26×sqrt-prod
21×add-cube-cbrt *-un-lft-identity
11×pow1 swap-sqr
9×pow1/3 associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
9.0ms
(* (cbrt (sqrt z)) (cbrt (sqrt z)))
0.0ms
(cbrt z)
1.0ms
(cbrt (sqrt z))
1.0ms
(cbrt (sqrt z))

series668.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (cbrt (sqrt z)) (cbrt (sqrt z)))
188.0ms
(cbrt z)
159.0ms
(cbrt (sqrt z))
158.0ms
(cbrt (sqrt z))

simplify3.4s

Counts
107 → 107
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
089981
1167867
2427805
31333758
44473747
done5000747

prune347.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* y (sqrt (fabs (cbrt z)))) (sqrt (fabs (cbrt z))))
0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r*
4×add-log-exp
3×pow1/3 pow-prod-down prod-exp sqrt-prod cbrt-unprod
1×associate-*l* *-commutative
Counts
4 → 54
Calls
4 calls:
11.0ms
(* (* y (sqrt (fabs (cbrt z)))) (sqrt (fabs (cbrt z))))
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)

series586.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (* y (sqrt (fabs (cbrt z)))) (sqrt (fabs (cbrt z))))
189.0ms
(cbrt z)
191.0ms
(cbrt z)
183.0ms
(cbrt z)

simplify2.5s

Counts
66 → 66
Iterations

Useful iterations: 3 (232.0ms)

IterNodesCost
067542
1147399
2458339
31002330
41494330
53423330
done5000330

prune229.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes305.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
11310
done1310

end0.0ms

sample835.0ms

Algorithm
intervals
Results
240.0ms8585×body80nan
237.0ms8532×body80valid