Details

sample39.0ms

Algorithm

intervals

Results

10.0ms	273×	body	80	valid
8.0ms	240×	body	80	nan

simplify164.0ms

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

localize12.0ms

Local error

Found 1 expressions with local error:

0.2b	(* y (sqrt x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`associate-r`
4×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`unswap-sqr`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

11.0ms

(* y (sqrt x))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(* y (sqrt x))

simplify3.9s

Counts

25 → 25

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	63	210
1	149	187
2	350	173
3	849	165
4	2595	160
done	5000	160

prune79.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.2b	(* y (sqrt (sqrt x)))
0.4b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite87.0ms

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:

4.0ms	(sqrt (sqrt x))
4.0ms	(sqrt (sqrt x))
25.0ms	(* y (sqrt (sqrt x)))
50.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series693.0ms

Counts

4 → 12

Calls

4 calls:

276.0ms	(sqrt (sqrt x))
226.0ms	(sqrt (sqrt x))
124.0ms	(* y (sqrt (sqrt x)))
67.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify2.8s

Counts

100 → 100

Iterations

Useful iterations: done (2.8s)

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

prune277.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

33.0ms	(* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x))))
153.0ms	(* (* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x)))) (sqrt (sqrt (cbrt x))))
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x))))
344.0ms	(* (* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x)))) (sqrt (sqrt (cbrt x))))
266.0ms	(cbrt x)
314.0ms	(cbrt x)

simplify1.5s

Counts

85 → 85

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	174	1279
1	438	1111
2	1589	981
done	5000	957

prune430.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sqrt x)) (cbrt (sqrt x)))
0.6b	(cbrt x)
0.6b	(cbrt (sqrt x))
0.6b	(cbrt (sqrt x))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

55×	`cbrt-prod`
43×	`add-sqr-sqrt`
26×	`sqrt-prod`
21×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

17.0ms	(* (cbrt (sqrt x)) (cbrt (sqrt x)))
1.0ms	(cbrt x)
2.0ms	(cbrt (sqrt x))
2.0ms	(cbrt (sqrt x))

series1.1s

Counts

4 → 12

Calls

4 calls:

269.0ms	(* (cbrt (sqrt x)) (cbrt (sqrt x)))
283.0ms	(cbrt x)
308.0ms	(cbrt (sqrt x))
245.0ms	(cbrt (sqrt x))

simplify3.8s

Counts

107 → 107

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	89	981
1	167	867
2	422	805
3	1108	755
4	3391	747
done	5001	719

prune525.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes154.0ms

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	7	8
1	9	8
done	9	8

end0.0ms

sample1.8s

Algorithm

intervals

Results

885.0ms	8520×	body	80	valid
329.0ms	8284×	body	80	nan