Details

sample24.0ms

Algorithm

intervals

Results

9.0ms

403×

body

valid

simplify284.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	15	7
1	25	6
2	37	4
3	47	4
4	56	4
5	89	4
6	158	4
7	208	4
8	221	4
9	316	4
10	646	4
11	3199	4
12	5003	4
done	5003	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 3 (* z z)) (* x y))
0.2b	(* 3 (* z z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

16.0ms	(+ (* 3 (* z z)) (* x y))
19.0ms	(* 3 (* z z))

series66.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* 3 (* z z)) (* x y))
26.0ms	(* 3 (* z z))

simplify77.0ms

Counts

36 → 36

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	166	163
1	617	147
2	2424	143
3	5003	143
done	5003	143

prune62.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 3 z) z) (* x y))
0.2b	(* (* 3 z) z)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

19.0ms	(+ (* (* 3 z) z) (* x y))
17.0ms	(* (* 3 z) z)

series61.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* (* 3 z) z) (* x y))
25.0ms	(* (* 3 z) z)

simplify127.0ms

Counts

35 → 35

Iterations

Useful iterations: 3 (125.0ms)

Iter	Nodes	Cost
0	175	161
1	815	145
2	4087	142
3	5001	141
done	5001	141

prune62.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3 (* z z))
0.4b	(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
19.4b	(sqrt (* 3 (* z z)))
19.4b	(sqrt (* 3 (* z z)))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
12×	`add-sqr-sqrt`
11×	`add-exp-log` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`sqrt-prod`
5×	`associate-r`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 109

Calls

4 calls:

18.0ms	(* 3 (* z z))
83.0ms	(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
11.0ms	(sqrt (* 3 (* z z)))
11.0ms	(sqrt (* 3 (* z z)))

series176.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* 3 (* z z))
67.0ms	(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
42.0ms	(sqrt (* 3 (* z z)))
37.0ms	(sqrt (* 3 (* z z)))

simplify37.0ms

Counts

121 → 121

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	169	344
1	783	285
2	5001	269
done	5001	269

prune168.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (* 3 (* z z))) (fabs z))
0.2b	(* 3 (* z z))
0.3b	(* (sqrt 3) (* (sqrt (* 3 (* z z))) (fabs z)))
19.4b	(sqrt (* 3 (* z z)))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-l`
12×	`add-sqr-sqrt`
10×	`pow-prod-down`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`prod-exp` `cbrt-unprod`
5×	`associate-r` `sqrt-prod`
4×	`add-log-exp`
3×	`sqrt-pow1` `*-commutative`
2×	`unswap-sqr`
1×	`pow1/2`

Counts

4 → 71

Calls

4 calls:

48.0ms	(* (sqrt (* 3 (* z z))) (fabs z))
17.0ms	(* 3 (* z z))
152.0ms	(* (sqrt 3) (* (sqrt (* 3 (* z z))) (fabs z)))
14.0ms	(sqrt (* 3 (* z z)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (sqrt (* 3 (* z z))) (fabs z))
31.0ms	(* 3 (* z z))
100.0ms	(* (sqrt 3) (* (sqrt (* 3 (* z z))) (fabs z)))
36.0ms	(sqrt (* 3 (* z z)))

simplify37.0ms

Counts

83 → 83

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	236	449
1	1072	402
2	5001	402
done	5001	402

prune188.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4
done	12	4

end0.0ms

sample638.0ms

Algorithm

intervals

Results

286.0ms

12232×

body

valid