Details

sample48.0ms

Algorithm

intervals

Results

13.0ms	269×	body	80	valid
12.0ms	269×	body	80	nan

simplify135.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	146
7	146
6	134
5	121
4	104
3	71
2	47
1	21
0	10

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
6×	`associate-r`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `sqrt-prod` `add-log-exp`
3×	`associate-l`
2×	`unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 33

Calls

2 calls:

9.0ms	(+ x (* y (sqrt z)))
14.0ms	(* y (sqrt z))

series125.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ x (* y (sqrt z)))
72.0ms	(* y (sqrt z))

simplify2.2s

Counts

39 → 39

Iterations

Iter	Nodes
done	5003
3	3999
2	771
1	228
0	86

prune211.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
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:

3.0ms	(sqrt (sqrt z))
3.0ms	(sqrt (sqrt z))
21.0ms	(* y (sqrt (sqrt z)))
29.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series648.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(sqrt (sqrt z))
214.0ms	(sqrt (sqrt z))
143.0ms	(* y (sqrt (sqrt z)))
61.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify994.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1684
1	354
0	132

prune568.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

36×	`sqrt-prod`
27×	`add-sqr-sqrt`
21×	`associate-r`
17×	`pow1`
15×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`cbrt-prod` `pow-prod-down`
7×	`associate-l` `prod-exp` `cbrt-unprod`
6×	`unswap-sqr`
4×	`add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3` `*-commutative`
1×	`sqrt-unprod`

Counts

4 → 87

Calls

4 calls:

172.0ms	(* (* y (* (sqrt (fabs (cbrt z))) (sqrt (sqrt z)))) (sqrt (sqrt (cbrt z))))
25.0ms	(* (sqrt (fabs (cbrt z))) (sqrt (sqrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

320.0ms	(* (* y (* (sqrt (fabs (cbrt z))) (sqrt (sqrt z)))) (sqrt (sqrt (cbrt z))))
269.0ms	(* (sqrt (fabs (cbrt z))) (sqrt (sqrt z)))
288.0ms	(cbrt z)
305.0ms	(cbrt z)

simplify2.1s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	2609
1	481
0	190

prune729.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize82.0ms

Local error

Found 4 expressions with local error:

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

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

24×	`sqrt-prod`
18×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `add-cube-cbrt`
10×	`associate-r`
9×	`cbrt-prod` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`pow1/3` `*-commutative`

Counts

4 → 76

Calls

4 calls:

139.0ms	(* (* (sqrt (sqrt (cbrt z))) (* y (sqrt (fabs (cbrt z))))) (sqrt (sqrt z)))
55.0ms	(* (sqrt (sqrt (cbrt z))) (* y (sqrt (fabs (cbrt z)))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.4s

Counts

4 → 12

Calls

4 calls:

449.0ms	(* (* (sqrt (sqrt (cbrt z))) (* y (sqrt (fabs (cbrt z))))) (sqrt (sqrt z)))
277.0ms	(* (sqrt (sqrt (cbrt z))) (* y (sqrt (fabs (cbrt z)))))
308.0ms	(cbrt z)
337.0ms	(cbrt z)

simplify1.1s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
2	1837
1	405
0	155

prune658.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes813.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample1.8s

Algorithm

intervals

Results

630.0ms	8452×	body	80	nan
597.0ms	8521×	body	80	valid