Details

sample54.0ms

Algorithm

intervals

Results

14.0ms	266×	body	80	valid
11.0ms	236×	body	80	nan

simplify128.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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:

5.0ms	(+ x (* y (sqrt z)))
10.0ms	(* y (sqrt z))

series84.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ x (* y (sqrt z)))
49.0ms	(* y (sqrt z))

simplify3.8s

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

prune189.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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)))

rewrite84.0ms

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))
19.0ms	(* y (sqrt (sqrt z)))
57.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series655.0ms

Counts

4 → 12

Calls

4 calls:

265.0ms	(sqrt (sqrt z))
216.0ms	(sqrt (sqrt z))
102.0ms	(* y (sqrt (sqrt z)))
72.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify2.8s

Counts

100 → 100

Iterations

Useful iterations: done (2.8s)

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

prune314.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
0.1b	(sqrt (sqrt z))
0.2b	(* (pow z 1/4) y)
0.3b	(* (* (pow z 1/4) y) (sqrt (sqrt z)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-sqr-sqrt` `sqrt-prod`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
11×	`add-cbrt-cube`
10×	`prod-exp`
8×	`pow1` `associate-l`
6×	`add-log-exp`
4×	`unpow-prod-down` `sqrt-pow1` `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:

11.0ms	(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
2.0ms	(sqrt (sqrt z))
18.0ms	(* (pow z 1/4) y)
50.0ms	(* (* (pow z 1/4) y) (sqrt (sqrt z)))

series689.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
220.0ms	(sqrt (sqrt z))
169.0ms	(* (pow z 1/4) y)
201.0ms	(* (* (pow z 1/4) y) (sqrt (sqrt z)))

simplify1.4s

Counts

92 → 92

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	180	1080
1	475	950
2	1553	882
done	5000	830

prune324.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.3b	(* y (pow z 1/8))
0.3b	(* (* (pow z (/ 1/4 2)) (* y (pow z 1/8))) (sqrt (sqrt z)))
0.3b	(* (pow z (/ 1/4 2)) (* y (pow z 1/8)))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-exp-log`
58×	`prod-exp`
21×	`add-sqr-sqrt`
20×	`add-cbrt-cube`
19×	`sqrt-prod`
17×	`associate-r`
15×	`pow-to-exp` `pow-exp`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`associate-l`
10×	`cbrt-unprod`
8×	`pow1`
7×	`unpow-prod-down`
4×	`sqrt-pow1` `add-log-exp`
3×	`*-commutative` `unswap-sqr` `sqr-pow`
2×	`rem-sqrt-square` `pow1/2`
1×	`pow-prod-down`

Counts

4 → 109

Calls

4 calls:

3.0ms	(sqrt (sqrt z))
12.0ms	(* y (pow z 1/8))
97.0ms	(* (* (pow z (/ 1/4 2)) (* y (pow z 1/8))) (sqrt (sqrt z)))
33.0ms	(* (pow z (/ 1/4 2)) (* y (pow z 1/8)))

series616.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(sqrt (sqrt z))
108.0ms	(* y (pow z 1/8))
166.0ms	(* (* (pow z (/ 1/4 2)) (* y (pow z 1/8))) (sqrt (sqrt z)))
140.0ms	(* (pow z (/ 1/4 2)) (* y (pow z 1/8)))

simplify1.5s

Counts

121 → 121

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	203	1685
1	527	1326
2	1605	987
done	5000	946

prune352.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes429.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

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

767.0ms	8437×	body	80	nan
417.0ms	8528×	body	80	valid