Details

sample49.0ms

Algorithm

intervals

Results

14.0ms	266×	body	80	valid
13.0ms	261×	body	80	nan

simplify159.0ms

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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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:

9.0ms	(+ x (* y (sqrt z)))
10.0ms	(* y (sqrt z))

series115.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ x (* y (sqrt z)))
69.0ms	(* y (sqrt z))

simplify3.7s

Counts

39 → 39

Iterations

Useful iterations: 4 (1.6s)

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

prune107.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

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))
2.0ms	(sqrt (sqrt z))
44.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))
23.0ms	(* y (sqrt (sqrt z)))

series587.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(sqrt (sqrt z))
216.0ms	(sqrt (sqrt z))
72.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))
132.0ms	(* y (sqrt (sqrt z)))

simplify2.4s

Counts

100 → 100

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	132	915
1	339	716
2	966	650
3	2577	634
done	5001	618

prune310.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
0.2b	(sqrt (sqrt z))
0.3b	(* (* y (pow z 1/4)) (sqrt (sqrt z)))
0.3b	(* y (pow z 1/4))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-sqr-sqrt` `sqrt-prod`
16×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`prod-exp`
8×	`pow1`
6×	`add-log-exp`
4×	`unpow-prod-down` `sqrt-pow1` `associate-l` `cbrt-unprod`
3×	`unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp` `*-commutative` `sqr-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `sum-log` `flip-+`

Counts

4 → 80

Calls

4 calls:

13.0ms	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
4.0ms	(sqrt (sqrt z))
63.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))
14.0ms	(* y (pow z 1/4))

series431.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
177.0ms	(sqrt (sqrt z))
99.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))
89.0ms	(* y (pow z 1/4))

simplify1.6s

Counts

92 → 92

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	183	1085
1	480	951
2	1508	875
done	5000	831

prune443.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* y (pow z 1/4)) (pow z 1/4)))
0.3b	(* (* y (pow z 1/4)) (pow z 1/4))
0.3b	(* y (pow z 1/4))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
24×	`prod-exp`
14×	`associate-r`
13×	`add-sqr-sqrt`
10×	`add-cbrt-cube`
8×	`pow-to-exp` `add-cube-cbrt` `*-un-lft-identity` `pow-exp`
7×	`unpow-prod-down`
5×	`add-log-exp`
4×	`associate-l` `cbrt-unprod`
3×	`pow1` `unswap-sqr` `sqr-pow`
2×	`*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 66

Calls

3 calls:

7.0ms	(+ x (* (* y (pow z 1/4)) (pow z 1/4)))
32.0ms	(* (* y (pow z 1/4)) (pow z 1/4))
24.0ms	(* y (pow z 1/4))

series234.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(+ x (* (* y (pow z 1/4)) (pow z 1/4)))
85.0ms	(* (* y (pow z 1/4)) (pow z 1/4))
98.0ms	(* y (pow z 1/4))

simplify4.8s

Counts

75 → 75

Iterations

Useful iterations: done (4.8s)

Iter	Nodes	Cost
0	130	915
1	341	658
2	1028	552
3	4000	536
done	5000	534

prune220.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes384.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.0s	8521×	body	80	valid
704.0ms	8679×	body	80	nan