Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	275×	body	80	valid
7.0ms	266×	body	80	nan

simplify66.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	21	10
2	45	10
3	65	10
4	91	10
5	110	10
6	122	10
done	122	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b	(* y (sqrt z))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`associate-r`
4×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`unswap-sqr`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

5.0ms

(* y (sqrt z))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* y (sqrt z))

simplify2.8s

Counts

25 → 25

Iterations

Useful iterations: 4 (845.0ms)

Iter	Nodes	Cost
0	63	210
1	149	187
2	366	173
3	1042	165
4	3177	160
done	5000	160

prune71.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite27.0ms

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:

1.0ms	(sqrt (sqrt z))
1.0ms	(sqrt (sqrt z))
6.0ms	(* y (sqrt (sqrt z)))
16.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series383.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(sqrt (sqrt z))
132.0ms	(sqrt (sqrt z))
74.0ms	(* y (sqrt (sqrt z)))
44.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify1.7s

Counts

100 → 100

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	132	915
1	340	716
2	1031	650
3	3072	634
done	5000	631

prune212.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.2b	(* y (sqrt (sqrt (sqrt z))))
0.3b	(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
0.3b	(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

61×	`sqrt-prod`
33×	`associate-r`
28×	`add-sqr-sqrt`
22×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
18×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`sqrt-pow1` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`rem-sqrt-square` `pow1/2`

Counts

4 → 103

Calls

4 calls:

1.0ms	(sqrt (sqrt z))
9.0ms	(* y (sqrt (sqrt (sqrt z))))
23.0ms	(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
83.0ms	(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))

series358.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(sqrt (sqrt z))
92.0ms	(* y (sqrt (sqrt (sqrt z))))
82.0ms	(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
45.0ms	(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))

simplify984.0ms

Counts

115 → 115

Iterations

Useful iterations: done (981.0ms)

Iter	Nodes	Cost
0	180	1535
1	472	1073
2	1559	855
done	5000	833

prune243.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-prod`
28×	`add-sqr-sqrt`
20×	`pow1`
18×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`cbrt-prod` `pow-prod-down`
9×	`prod-exp` `cbrt-unprod`
8×	`unswap-sqr`
7×	`associate-l`
4×	`add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3` `*-commutative`
1×	`sqrt-unprod`

Counts

4 → 84

Calls

4 calls:

11.0ms	(* (sqrt (fabs (cbrt z))) (sqrt (sqrt (cbrt z))))
27.0ms	(* (* y (sqrt (sqrt z))) (* (sqrt (fabs (cbrt z))) (sqrt (sqrt (cbrt z)))))
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series815.0ms

Counts

4 → 12

Calls

4 calls:

276.0ms	(* (sqrt (fabs (cbrt z))) (sqrt (sqrt (cbrt z))))
178.0ms	(* (* y (sqrt (sqrt z))) (* (sqrt (fabs (cbrt z))) (sqrt (sqrt (cbrt z)))))
178.0ms	(cbrt z)
183.0ms	(cbrt z)

simplify493.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (121.0ms)

Iter	Nodes	Cost
0	160	1349
1	371	1180
2	1256	1082
done	5000	1082

prune316.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes219.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	13	10
done	13	10

end0.0ms

sample816.0ms

Algorithm

intervals

Results

238.0ms	8497×	body	80	valid
230.0ms	8366×	body	80	nan
0.0ms	1×	body	160	valid