Details

Time bar (total: 18.7s)

sample73.0ms

Algorithm
intervals
Results
19.0ms321×body80nan
16.0ms276×body80valid

simplify191.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
12110
24710
37110
410310
512010
613310
714310
done14310

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (sqrt z)))
0.2b
(* y (sqrt z))

rewrite22.0ms

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:
6.0ms
(+ x (* y (sqrt z)))
15.0ms
(* y (sqrt z))

series104.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(+ x (* y (sqrt z)))
57.0ms
(* y (sqrt z))

simplify4.6s

Counts
39 → 39
Iterations

Useful iterations: 4 (2.1s)

IterNodesCost
086362
1220323
2552297
31330288
43985283
done5000283

prune133.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.1b
(sqrt (sqrt z))
0.3b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
2.0ms
(sqrt (sqrt z))
20.0ms
(* y (sqrt (sqrt z)))
66.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series660.0ms

Counts
4 → 12
Calls
4 calls:
267.0ms
(sqrt (sqrt z))
244.0ms
(sqrt (sqrt z))
101.0ms
(* y (sqrt (sqrt z)))
48.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify2.9s

Counts
100 → 100
Iterations

Useful iterations: done (2.9s)

IterNodesCost
0132915
1339716
2963650
32584634
done5000618

prune376.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z))))
0.4b
(* (* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z)))) (sqrt (sqrt (cbrt z))))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite235.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log sqrt-prod add-cbrt-cube
13×associate-*r*
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
4×add-log-exp
2×pow1/3 *-commutative
Counts
4 → 73
Calls
4 calls:
59.0ms
(* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z))))
169.0ms
(* (* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z)))) (sqrt (sqrt (cbrt z))))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.2s

Counts
4 → 12
Calls
4 calls:
207.0ms
(* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z))))
361.0ms
(* (* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z)))) (sqrt (sqrt (cbrt z))))
298.0ms
(cbrt z)
321.0ms
(cbrt z)

simplify1.2s

Counts
85 → 85
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01751279
14421111
21622993
done5000957

prune418.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (sqrt (fabs (cbrt z))) y) (sqrt (sqrt z)))
0.4b
(* (* (* (sqrt (fabs (cbrt z))) y) (sqrt (sqrt z))) (sqrt (sqrt (cbrt z))))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
24×sqrt-prod
21×associate-*r*
18×pow1 add-exp-log add-cbrt-cube
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
2×pow1/3 associate-*l* *-commutative
Counts
4 → 76
Calls
4 calls:
60.0ms
(* (* (sqrt (fabs (cbrt z))) y) (sqrt (sqrt z)))
146.0ms
(* (* (* (sqrt (fabs (cbrt z))) y) (sqrt (sqrt z))) (sqrt (sqrt (cbrt z))))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.2s

Counts
4 → 12
Calls
4 calls:
237.0ms
(* (* (sqrt (fabs (cbrt z))) y) (sqrt (sqrt z)))
423.0ms
(* (* (* (sqrt (fabs (cbrt z))) y) (sqrt (sqrt z))) (sqrt (sqrt (cbrt z))))
273.0ms
(cbrt z)
287.0ms
(cbrt z)

simplify1.6s

Counts
88 → 88
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01821317
14581133
217021009
done5000973

prune426.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes388.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
11310
done1310

end0.0ms

sample2.5s

Algorithm
intervals
Results
925.0ms8610×body80nan
730.0ms8536×body80valid