Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	273×	body	80	valid
7.0ms	271×	body	80	nan

simplify171.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	23	8
3	40	8
4	55	8
5	60	8
6	69	8
7	86	8
8	101	8
9	108	8
10	116	8
done	116	8

prune3.0ms

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	(+ (- 1.0 x) (* y (sqrt x)))
0.3b	(* y (sqrt x))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

34.0ms	(+ (- 1.0 x) (* y (sqrt x)))
26.0ms	(* y (sqrt x))

series122.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (- 1.0 x) (* y (sqrt x)))
71.0ms	(* y (sqrt x))

simplify1.7s

Counts

43 → 43

Iterations

Useful iterations: 3 (573.0ms)

Iter	Nodes	Cost
0	96	442
1	240	398
2	647	366
3	1984	353
done	5001	353

prune128.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

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 x))
2.0ms	(sqrt (sqrt x))
22.0ms	(* y (sqrt (sqrt x)))
45.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series506.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(sqrt (sqrt x))
185.0ms	(sqrt (sqrt x))
106.0ms	(* y (sqrt (sqrt x)))
48.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify2.5s

Counts

100 → 100

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	132	915
1	339	716
2	962	650
3	2804	634
done	5000	624

prune270.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite250.0ms

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 x))
14.0ms	(* y (sqrt (sqrt x)))
43.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))
187.0ms	(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

series543.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(sqrt (sqrt x))
99.0ms	(* y (sqrt (sqrt x)))
138.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))
48.0ms	(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

simplify4.3s

Counts

114 → 114

Iterations

Useful iterations: 3 (2.5s)

Iter	Nodes	Cost
0	180	1485
1	476	1172
2	1483	907
3	4730	885
done	5000	885

prune372.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite528.0ms

Algorithm

rewrite-expression-head

Rules

36×	`sqrt-prod`
24×	`associate-r`
23×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`cbrt-prod`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 88

Calls

4 calls:

475.0ms	(* (* (* (* (fabs (cbrt (sqrt x))) y) (sqrt (cbrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
43.0ms	(* (* (fabs (cbrt (sqrt x))) y) (sqrt (cbrt (sqrt x))))
2.0ms	(cbrt (sqrt x))
2.0ms	(cbrt (sqrt x))

series840.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(* (* (* (* (fabs (cbrt (sqrt x))) y) (sqrt (cbrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
166.0ms	(* (* (fabs (cbrt (sqrt x))) y) (sqrt (cbrt (sqrt x))))
227.0ms	(cbrt (sqrt x))
274.0ms	(cbrt (sqrt x))

simplify1.6s

Counts

100 → 100

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	169	1720
1	440	1416
2	1717	1180
done	5001	1155

prune414.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes124.0ms

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	7	8
1	9	8
done	9	8

end0.0ms

sample1.8s

Algorithm

intervals

Results

891.0ms	8358×	body	80	nan
436.0ms	8547×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid