Details

sample53.0ms

Algorithm

intervals

Results

13.0ms	267×	body	80	valid
12.0ms	245×	body	80	nan

simplify216.0ms

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	122	10
6	136	10
7	148	10
done	148	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))

rewrite21.0ms

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:

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

series107.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ x (* y (sqrt z)))
70.0ms	(* y (sqrt z))

simplify2.2s

Counts

39 → 39

Iterations

Useful iterations: 3 (824.0ms)

Iter	Nodes	Cost
0	86	362
1	228	323
2	760	297
3	3921	288
done	5001	288

prune143.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

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))
18.0ms	(* y (sqrt (sqrt z)))
52.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series497.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(sqrt (sqrt z))
178.0ms	(sqrt (sqrt z))
104.0ms	(* y (sqrt (sqrt z)))
47.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify1.0s

Counts

100 → 100

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	132	915
1	355	716
2	1743	661
done	5001	640

prune353.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
38×	`add-sqr-sqrt`
29×	`unpow-prod-down`
27×	`*-un-lft-identity`
26×	`add-cube-cbrt` `associate-r`
20×	`times-frac`
19×	`prod-exp` `sqrt-prod`
12×	`pow-exp`
11×	`add-cbrt-cube`
10×	`pow1`
6×	`div-exp`
5×	`unswap-sqr`
4×	`sqrt-pow1` `associate-l` `cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `pow-unpow` `pow-pow` `1-exp` `sqr-pow`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `div-inv`
1×	`pow-flip` `pow-prod-down` `inv-pow`

Counts

4 → 119

Calls

4 calls:

7.0ms	(pow (/ 1 z) -1/4)
2.0ms	(sqrt (sqrt z))
43.0ms	(* y (pow (/ 1 z) -1/4))
58.0ms	(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

series757.0ms

Counts

4 → 12

Calls

4 calls:

302.0ms	(pow (/ 1 z) -1/4)
236.0ms	(sqrt (sqrt z))
101.0ms	(* y (pow (/ 1 z) -1/4))
117.0ms	(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

simplify1.9s

Counts

131 → 131

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	234	1478
1	660	1265
2	2697	1181
done	5003	1151

prune604.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite352.0ms

Algorithm

rewrite-expression-head

Rules

300×	`add-exp-log`
205×	`prod-exp`
108×	`pow-exp`
54×	`div-exp`
43×	`associate-r`
38×	`add-sqr-sqrt`
29×	`unpow-prod-down`
27×	`pow-to-exp` `rec-exp` `*-un-lft-identity` `1-exp`
26×	`add-cube-cbrt`
20×	`times-frac` `add-cbrt-cube`
19×	`sqrt-prod`
10×	`cbrt-unprod`
8×	`pow1`
5×	`associate-l` `unswap-sqr`
4×	`sqrt-pow1` `add-log-exp`
3×	`*-commutative` `sqr-pow`
2×	`rem-sqrt-square` `pow1/2` `div-inv`
1×	`pow-prod-down`

Counts

4 → 194

Calls

4 calls:

4.0ms	(sqrt (sqrt z))
52.0ms	(* y (pow (/ 1 z) -1/8))
217.0ms	(* (* (* y (pow (/ 1 z) -1/8)) (pow (/ 1 z) (/ -1/4 2))) (sqrt (sqrt z)))
59.0ms	(* (* y (pow (/ 1 z) -1/8)) (pow (/ 1 z) (/ -1/4 2)))

series412.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(sqrt (sqrt z))
84.0ms	(* y (pow (/ 1 z) -1/8))
88.0ms	(* (* (* y (pow (/ 1 z) -1/8)) (pow (/ 1 z) (/ -1/4 2))) (sqrt (sqrt z)))
78.0ms	(* (* y (pow (/ 1 z) -1/8)) (pow (/ 1 z) (/ -1/4 2)))

simplify3.4s

Counts

206 → 206

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	335	3607
1	928	2685
2	4413	2013
done	5002	1985

prune658.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes475.0ms

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

sample2.3s

Algorithm

intervals

Results

934.0ms	8537×	body	80	valid
596.0ms	8620×	body	80	nan