Details

sample32.0ms

Algorithm

intervals

Results

7.0ms	272×	body	80	valid
6.0ms	254×	body	80	nan

simplify119.0ms

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: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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)))
9.0ms	(* y (sqrt z))

series79.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ x (* y (sqrt z)))
44.0ms	(* y (sqrt z))

simplify2.9s

Counts

39 → 39

Iterations

Useful iterations: 4 (1.3s)

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

prune90.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite55.0ms

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))
12.0ms	(* y (sqrt (sqrt z)))
36.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series393.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(sqrt (sqrt z))
134.0ms	(sqrt (sqrt z))
77.0ms	(* y (sqrt (sqrt z)))
41.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify1.8s

Counts

100 → 100

Iterations

Useful iterations: done (1.8s)

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

prune214.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

58×	`sqrt-prod`
33×	`associate-r`
26×	`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`
3×	`*-commutative` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2`

Counts

4 → 102

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
13.0ms	(* y (sqrt (sqrt z)))
127.0ms	(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
37.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

series377.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(sqrt (sqrt z))
82.0ms	(* y (sqrt (sqrt z)))
40.0ms	(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
113.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

simplify2.8s

Counts

114 → 114

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	180	1485
1	476	1172
2	1501	907
3	4570	885
done	5000	885

prune294.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

50×	`sqrt-prod`
32×	`add-sqr-sqrt`
24×	`associate-r`
16×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow1`
11×	`add-exp-log` `cbrt-prod` `add-cbrt-cube`
8×	`unswap-sqr`
7×	`associate-l`
6×	`pow-prod-down`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3` `*-commutative`
1×	`sqrt-unprod`

Counts

4 → 89

Calls

4 calls:

38.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))
23.0ms	(* (sqrt (fabs (cbrt z))) (sqrt (sqrt (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series810.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))
293.0ms	(* (sqrt (fabs (cbrt z))) (sqrt (sqrt (cbrt z))))
192.0ms	(cbrt z)
200.0ms	(cbrt z)

simplify2.1s

Counts

101 → 101

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	163	1110
1	344	986
2	991	899
3	2664	887
done	5000	885

prune390.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes265.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample895.0ms

Algorithm

intervals

Results

219.0ms	8554×	body	80	valid
214.0ms	8611×	body	80	nan