Details

sample51.0ms

Algorithm

intervals

Results

15.0ms	281×	body	80	valid
13.0ms	249×	body	80	nan

simplify176.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	21	10
2	47	10
3	71	10
4	103	10
5	120	10
6	133	10
7	143	10
done	143	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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:

15.0ms	(+ x (* y (sqrt z)))
16.0ms	(* y (sqrt z))

series112.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ x (* y (sqrt z)))
63.0ms	(* y (sqrt z))

simplify3.7s

Counts

39 → 39

Iterations

Useful iterations: 4 (1.8s)

Iter	Nodes	Cost
0	86	362
1	220	323
2	552	297
3	1330	288
4	3985	283
done	5000	283

prune115.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (sqrt z))
0.2b	(sqrt (sqrt z))
0.2b	(* y (sqrt (sqrt z)))
0.4b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite83.0ms

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:

3.0ms	(sqrt (sqrt z))
5.0ms	(sqrt (sqrt z))
23.0ms	(* y (sqrt (sqrt z)))
50.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series531.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(sqrt (sqrt z))
193.0ms	(sqrt (sqrt z))
103.0ms	(* y (sqrt (sqrt z)))
57.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify2.5s

Counts

100 → 100

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	132	915
1	339	716
2	963	650
3	2584	634
done	5000	618

prune396.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite156.0ms

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:

122.0ms	(* (* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z)))) (sqrt (sqrt (cbrt z))))
30.0ms	(* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

352.0ms	(* (* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z)))) (sqrt (sqrt (cbrt z))))
190.0ms	(* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z))))
262.0ms	(cbrt z)
342.0ms	(cbrt z)

simplify1.4s

Counts

85 → 85

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	175	1279
1	442	1111
2	1620	993
done	5000	957

prune459.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

24.0ms	(* (* (fabs (cbrt (sqrt z))) y) (sqrt (cbrt (sqrt z))))
98.0ms	(* (* (* (fabs (cbrt (sqrt z))) y) (sqrt (cbrt (sqrt z)))) (sqrt (sqrt z)))
3.0ms	(cbrt (sqrt z))
3.0ms	(cbrt (sqrt z))

series795.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(* (* (fabs (cbrt (sqrt z))) y) (sqrt (cbrt (sqrt z))))
178.0ms	(* (* (* (fabs (cbrt (sqrt z))) y) (sqrt (cbrt (sqrt z)))) (sqrt (sqrt z)))
254.0ms	(cbrt (sqrt z))
216.0ms	(cbrt (sqrt z))

simplify1.4s

Counts

94 → 94

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	149	1335
1	382	1193
2	1446	1020
done	5001	995

prune402.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes325.0ms

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)

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

end0.0ms

sample1.8s

Algorithm

intervals

Results

777.0ms	8536×	body	80	valid
532.0ms	8578×	body	80	nan