Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

352×

body

valid

simplify31.0ms

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

localize8.0ms

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))

simplify857.0ms

Counts

29 → 29

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	60	303
1	168	294
2	717	242
3	3172	242
done	5000	242

prune41.0ms

Filtered

16 candidates to 29 candidates (-81.3%)

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:

15.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))
4.0ms	(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))

simplify706.0ms

Counts

113 → 113

Iterations

Useful iterations: 3 (261.0ms)

Iter	Nodes	Cost
0	156	1679
1	335	1536
2	961	1429
3	2738	1237
done	5001	1237

prune239.0ms

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

localize8.0ms

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))

rewrite13.0ms

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:

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

series21.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+ (* (* x y) 1.0) (neg (* x (pow y 2))))
8.0ms	(* x (pow y 2))

simplify1.8s

Counts

48 → 48

Iterations

Useful iterations: 3 (428.0ms)

Iter	Nodes	Cost
0	82	522
1	220	469
2	882	383
3	4498	342
done	5000	342

prune67.0ms

Filtered

31 candidates to 48 candidates (-54.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	46	7	53

Merged error: 0.0b

Counts

53 → 7

localize7.0ms

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)))

rewrite35.0ms

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))
15.0ms	(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
9.0ms	(* (* x y) (sqrt (- 1.0 y)))

series28.0ms

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)))
12.0ms	(* (* x y) (sqrt (- 1.0 y)))

simplify547.0ms

Counts

105 → 105

Iterations

Useful iterations: done (541.0ms)

Iter	Nodes	Cost
0	165	1553
1	465	1306
2	1799	1170
done	5000	1158

prune150.0ms

Filtered

70 candidates to 105 candidates (-50.0%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	105	7	112

Merged error: 0.0b

Counts

112 → 7

regimes158.0ms

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

sample571.0ms

Algorithm

intervals

Results

268.0ms

10754×

body

valid

Details

sample21.0ms

simplify31.0ms

prune2.0ms

localize8.0ms

rewrite9.0ms

series8.0ms

simplify857.0ms

prune41.0ms

localize9.0ms

rewrite29.0ms

series29.0ms

simplify706.0ms

prune239.0ms

localize8.0ms

rewrite13.0ms

series21.0ms

simplify1.8s

prune67.0ms

localize7.0ms

rewrite35.0ms

series28.0ms

simplify547.0ms

prune150.0ms

regimes158.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample571.0ms

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