Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

352×

body

valid

simplify37.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	31	7
3	58	7
4	67	7
5	73	7
done	73	7

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-sqr-sqrt` `*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `add-cube-cbrt` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 26

Calls

1 calls:

8.0ms

(* (* x y) (- 1.0 y))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(* (* x y) (- 1.0 y))

simplify1.1s

Counts

29 → 29

Iterations

Useful iterations: 3 (313.0ms)

Iter	Nodes	Cost
0	60	303
1	168	296
2	778	248
3	3619	242
done	5000	242

prune40.0ms

Filtered

15 candidates to 29 candidates (-93.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	25	4	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	5	30

Merged error: 0.0b

Counts

30 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

12.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
4.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))

series29.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
7.0ms	(cbrt (- 1.0 y))
7.0ms	(cbrt (- 1.0 y))
7.0ms	(cbrt (- 1.0 y))

simplify774.0ms

Counts

113 → 113

Iterations

Useful iterations: done (771.0ms)

Iter	Nodes	Cost
0	156	1679
1	335	1539
2	994	1429
3	2771	1248
done	5001	1237

prune247.0ms

Filtered

81 candidates to 113 candidates (-39.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	113	5	118

Merged error: 0.0b

Counts

118 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* x y) 1.0) (neg (* x (pow y 2))))
10.2b	(* x (pow y 2))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
6×	`add-log-exp`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `sum-log` `unpow2` `sqr-pow`
1×	`+-commutative` `neg-sub0` `pow-to-exp` `associate-+r-` `flip3-+` `unsub-neg` `neg-log` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 42

Calls

2 calls:

7.0ms	(+ (* (* x y) 1.0) (neg (* x (pow y 2))))
6.0ms	(* x (pow y 2))

series20.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+ (* (* x y) 1.0) (neg (* x (pow y 2))))
7.0ms	(* x (pow y 2))

simplify2.3s

Counts

48 → 48

Iterations

Useful iterations: 3 (481.0ms)

Iter	Nodes	Cost
0	82	522
1	220	477
2	936	386
3	4875	345
done	5000	345

prune78.0ms

Filtered

33 candidates to 48 candidates (-45.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	45	8	53

Merged error: 0b

Counts

53 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 y))
0.0b	(sqrt (- 1.0 y))
0.1b	(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
0.1b	(* (* x y) (sqrt (- 1.0 y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-sqr-sqrt` `sqrt-prod`
18×	`add-exp-log` `*-un-lft-identity` `sqrt-div` `add-cbrt-cube`
16×	`associate-r`
10×	`add-cube-cbrt` `associate-*r/`
9×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
4×	`frac-times` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `associate-l/` `-commutative`

Counts

4 → 93

Calls

4 calls:

4.0ms	(sqrt (- 1.0 y))
4.0ms	(sqrt (- 1.0 y))
18.0ms	(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
9.0ms	(* (* x y) (sqrt (- 1.0 y)))

series29.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (- 1.0 y))
4.0ms	(sqrt (- 1.0 y))
8.0ms	(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
13.0ms	(* (* x y) (sqrt (- 1.0 y)))

simplify638.0ms

Counts

105 → 105

Iterations

Useful iterations: done (630.0ms)

Iter	Nodes	Cost
0	165	1553
1	465	1331
2	1942	1208
done	5000	1170

prune158.0ms

Filtered

71 candidates to 105 candidates (-47.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	105	8	113

Merged error: 0b

Counts

113 → 8

regimes168.0ms

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	6	7
1	8	7
done	8	7

end0.0ms

sample579.0ms

Algorithm

intervals

Results

260.0ms

10754×

body

valid

Details

sample21.0ms

simplify37.0ms

prune2.0ms

localize5.0ms

rewrite9.0ms

series8.0ms

simplify1.1s

prune40.0ms

localize9.0ms

rewrite29.0ms

series29.0ms

simplify774.0ms

prune247.0ms

localize9.0ms

rewrite14.0ms

series20.0ms

simplify2.3s

prune78.0ms

localize8.0ms

rewrite38.0ms

series29.0ms

simplify638.0ms

prune158.0ms

regimes168.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample579.0ms

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